diff --git a/changelog b/changelog index 3cfa3a2..4d16b31 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20100614 tpd src/axiom-website/patches.html 20100614.01.tpd.patch +20100614 tpd src/input/Makefile rule-based hyper integration +20100514 tpd src/input/richhyper200-299.input rule-based hyper integration 20100613 tpd src/axiom-website/patches.html 20100613.03.tpd.patch 20100613 tpd src/input/Makefile rule-based hyper integration 20100613 tpd src/input/richhyper100-199.input rule-based hyper integration diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 5c501e2..db6dee5 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2892,6 +2892,8 @@ src/input/richhyper000-099.input rule-based hyper integration books/bookvolbib add Jenks [JT18], [JT18a], [JT18b], [JWS87]
20100613.03.tpd.patch src/input/richhyper100-199.input rule-based hyper integration
+20100614.01.tpd.patch +src/input/richhyper200-299.input rule-based hyper integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index 5549425..43576fb 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -377,6 +377,7 @@ REGRES= ackermann.regress \ richexponential.regress \ richhyper000-099.regress \ richhyper100-199.regress \ + richhyper200-299.regress \ richrational.regress \ richtrig000-099.regress \ richtrig100-199.regress \ @@ -708,6 +709,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richexponential.input \ ${OUT}/richhyper000-099.input \ ${OUT}/richhyper100-199.input \ + ${OUT}/richhyper200-299.input \ ${OUT}/richrational.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ @@ -1068,6 +1070,7 @@ DOCFILES= \ ${DOC}/richexponential.input.dvi \ ${DOC}/richhyper000-099.input.dvi \ ${DOC}/richhyper100-199.input.dvi \ + ${DOC}/richhyper200-299.input.dvi \ ${DOC}/richrational.input.dvi \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ diff --git a/src/input/richhyper200-299.input.pamphlet b/src/input/richhyper200-299.input.pamphlet new file mode 100644 index 0000000..f6b63f9 --- /dev/null +++ b/src/input/richhyper200-299.input.pamphlet @@ -0,0 +1,31945 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richhyper200-299.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richhyper200-299.output +)spool richhyper200-299.output +)set message auto off +)clear all + +--S 1 of 500 +t0200:= (a+b*cosh(x)^2)^(1/2) +--R +--R +--R +--------------+ +--R | 2 +--R (1) \|b cosh(x) + a +--R Type: Expression Integer +--E 1 + +--S 2 of 500 +r0200:= -%i*(2*a+b+b*cosh(2*x))^(1/2)*EllipticE(%i*x,b/(a+b))/_ + ((2*a+b+b*cosh(2*x))/(a+b))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 2 + +--S 3 of 500 +a0200:= integrate(t0200,x) +--R +--R +--R x +---------------+ +--R ++ | 2 +--R (2) | \|b cosh(%R) + a d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 500 +--m0200:= a0200-r0200 +--E 4 + +--S 5 of 500 +--d0200:= D(m0200,x) +--E 5 + +--S 6 of 500 +t0201:= 1/(1+cosh(x)^2)^(1/2) +--R +--R +--R 1 +--R (3) --------------- +--R +------------+ +--R | 2 +--R \|cosh(x) + 1 +--R Type: Expression Integer +--E 6 + +--S 7 of 500 +r0201:= -1/2*%i*EllipticF(%i*x,1/2)*2^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Integer +--R Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 7 + +--S 8 of 500 +a0201:= integrate(t0201,x) +--R +--R +--R x +--R ++ 1 +--R (4) | ---------------- d%R +--R ++ +-------------+ +--R | 2 +--R \|cosh(%R) + 1 +--R Type: Union(Expression Integer,...) +--E 8 + +--S 9 of 500 +--m0201:= a0201-r0201 +--E 9 + +--S 10 of 500 +--d0201:= D(m0201,x) +--E 10 + +--S 11 of 500 +t0202:= 1/(-1-cosh(x)^2)^(1/2) +--R +--R +--R 1 +--R (5) ----------------- +--R +--------------+ +--R | 2 +--R \|- cosh(x) - 1 +--R Type: Expression Integer +--E 11 + +--S 12 of 500 +r0202:= -1/2*%i*(3+cosh(2*x))^(1/2)*_ + EllipticF(%i*x,1/2)*2^(1/2)/(-3-cosh(2*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Integer +--R Fraction Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 12 + +--S 13 of 500 +a0202:= integrate(t0202,x) +--R +--R +--R +------------------------+ +--R x | %R 4 %R 2 +--R ++ 2\|- (%e ) - 6(%e ) - 1 +--R (6) | ---------------------------- d%R +--R ++ %R 6 %R 4 %R 2 +--R (%e ) + 6(%e ) + (%e ) +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 500 +--m0202:= a0202-r0202 +--E 14 + +--S 15 of 500 +--d0202:= D(m0202,x) +--E 15 + +--S 16 of 500 +t0203:= 1/(a+b*cosh(x)^2)^(1/2) +--R +--R +--R 1 +--R (7) ----------------- +--R +--------------+ +--R | 2 +--R \|b cosh(x) + a +--R Type: Expression Integer +--E 16 + +--S 17 of 500 +r0203:= -%i*((2*a+b+b*cosh(2*x))/(a+b))^(1/2)*_ + EllipticF(%i*x,b/(a+b))/(2*a+b+b*cosh(2*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Complex Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 17 + +--S 18 of 500 +a0203:= integrate(t0203,x) +--R +--R +--R x +--R ++ 1 +--R (8) | ------------------ d%R +--R ++ +---------------+ +--R | 2 +--R \|b cosh(%R) + a +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 500 +--m0203:= a0203-r0203 +--E 19 + +--S 20 of 500 +--d0203:= D(m0203,x) +--E 20 + +--S 21 of 500 +t0204:= x/(a+b*cosh(x)^2) +--R +--R +--R x +--R (9) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 21 + +--S 22 of 500 +r0204:= 1/4*(2*x*log((-2*a-b+2*a^(1/2)*(a+b)^(1/2)-b*exp(2*x))/_ + (-2*a-b+2*a^(1/2)*(a+b)^(1/2)))-_ + 2*x*log((2*a+b+2*a^(1/2)*(a+b)^(1/2)+b*exp(2*x))/(2*a+b+2*a^(1/2)*_ + (a+b)^(1/2)))+polylog(2,b*exp(2*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))-_ + polylog(2,-1/(2*a+b+2*a^(1/2)*(a+b)^(1/2))*b*exp(2*x)))/_ + a^(1/2)/(a+b)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 22 + +--S 23 of 500 +a0204:= integrate(t0204,x) +--R +--R +--R x +--R ++ %R +--R (10) | --------------- d%R +--R ++ 2 +--R b cosh(%R) + a +--R Type: Union(Expression Integer,...) +--E 23 + +--S 24 of 500 +--m0204:= a0204-r0204 +--E 24 + +--S 25 of 500 +--d0204:= D(m0204,x) +--E 25 + +--S 26 of 500 +t0205:= x^2/(a+b*cosh(x)^2) +--R +--R +--R 2 +--R x +--R (11) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 26 + +--S 27 of 500 +r0205:= 1/4*(2*x^2*log((-2*a-b+2*a^(1/2)*(a+b)^(1/2)-b*exp(2*x))/_ + (-2*a-b+2*a^(1/2)*(a+b)^(1/2)))-_ + 2*x^2*log((2*a+b+2*a^(1/2)*(a+b)^(1/2)+b*exp(2*x))/_ + (2*a+b+2*a^(1/2)*(a+b)^(1/2)))+_ + 2*x*polylog(2,b*exp(2*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))-_ + 2*x*polylog(2,-1/(2*a+b+2*a^(1/2)*(a+b)^(1/2))*b*exp(2*x))-_ + polylog(3,b*exp(2*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))+_ + polylog(3,-1/(2*a+b+2*a^(1/2)*(a+b)^(1/2))*b*exp(2*x)))/_ + a^(1/2)/(a+b)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 27 + +--S 28 of 500 +a0205:= integrate(t0205,x) +--R +--R +--R x 2 +--R ++ %R +--R (12) | --------------- d%R +--R ++ 2 +--R b cosh(%R) + a +--R Type: Union(Expression Integer,...) +--E 28 + +--S 29 of 500 +--m0205:= a0205-r0205 +--E 29 + +--S 30 of 500 +--d0205:= D(m0205,x) +--E 30 + +--S 31 of 500 +t0206:= x^3/(a+b*cosh(x)^2) +--R +--R +--R 3 +--R x +--R (13) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 31 + +--S 32 of 500 +r0206:= -1/8*(-4*x^3*log((-2*a-b+2*a^(1/2)*(a+b)^(1/2)-b*exp(2*x))/_ + (-2*a-b+2*a^(1/2)*(a+b)^(1/2)))+_ + 4*x^3*log((2*a+b+2*a^(1/2)*(a+b)^(1/2)+b*exp(2*x))/_ + (2*a+b+2*a^(1/2)*(a+b)^(1/2)))-_ + 6*x^2*polylog(2,b*exp(2*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))+_ + 6*x^2*polylog(2,-1/(2*a+b+2*a^(1/2)*(a+b)^(1/2))*b*exp(2*x))+_ + 6*x*polylog(3,b*exp(2*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))-_ + 6*x*polylog(3,-1/(2*a+b+2*a^(1/2)*(a+b)^(1/2))*b*exp(2*x))-_ + 3*polylog(4,b*exp(2*x)/(-2*a-b+2*a^(1/2)*(a+b)^(1/2)))+_ + 3*polylog(4,-1/(2*a+b+2*a^(1/2)*(a+b)^(1/2))*b*exp(2*x)))/_ + a^(1/2)/(a+b)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 32 + +--S 33 of 500 +a0206:= integrate(t0206,x) +--R +--R +--R x 3 +--R ++ %R +--R (14) | --------------- d%R +--R ++ 2 +--R b cosh(%R) + a +--R Type: Union(Expression Integer,...) +--E 33 + +--S 34 of 500 +--m0206:= a0206-r0206 +--E 34 + +--S 35 of 500 +--d0206:= D(m0206,x) +--E 35 + +--S 36 of 500 +t0207:= 1/(a+b*cosh(x)^3) +--R +--R +--R 1 +--R (15) -------------- +--R 3 +--R b cosh(x) + a +--R Type: Expression Integer +--E 36 + +--S 37 of 500 +r0207:= 2/3*atanh((a^(1/3)-b^(1/3))*tanh(1/2*x)/(a^(2/3)-b^(2/3))^(1/2))/_ + a^(2/3)/(a^(2/3)-b^(2/3))^(1/2)+_ + 2/3*atanh((a^(1/3)-(-1)^(2/3)*b^(1/3))*tanh(1/2*x)/_ + (a^(2/3)+(-1)^(1/3)*b^(2/3))^(1/2))/a^(2/3)/_ + (a^(2/3)+(-1)^(1/3)*b^(2/3))^(1/2)+_ + 2/3*atanh((a^(1/3)+(-1)^(1/3)*b^(1/3))*_ + tanh(1/2*x)/(a^(2/3)-(-1)^(2/3)*b^(2/3))^(1/2))/_ + a^(2/3)/(a^(2/3)-(-1)^(2/3)*b^(2/3))^(1/2) +--R +--R +--R (16) +--R +---------------+ +-------------------+ +--R | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 2\|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 3+---+ x 3+-+ x 3+-+ +--R \|- 1 tanh(-)\|b + tanh(-)\|a +--R 2 2 +--R atanh(-------------------------------) +--R +----------------------+ +--R | 3+---+2 3+-+2 3+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R - +--R +----------------------+ +-------------------+ +--R | 3+---+2 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 2\|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R * +--R x 3+-+ x 3+-+ +--R tanh(-)\|b - tanh(-)\|a +--R 2 2 +--R atanh(-------------------------) +--R +---------------+ +--R | 3+-+2 3+-+2 +--R \|- \|b + \|a +--R + +--R - +--R +----------------------+ +---------------+ +--R | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R 3+---+2 x 3+-+ x 3+-+ +--R \|- 1 tanh(-)\|b - tanh(-)\|a +--R 2 2 +--R atanh(--------------------------------) +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R / +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 37 + +--S 38 of 500 +a0207:= integrate(t0207,x) +--R +--R +--R (17) +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b - 486a )%%BK0 - 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b - 486a )%%BK0 + (27a b + 135a )%%BK0 - 9a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (- 162a b + 162a )%%BK0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BK0 - 54a %%BK0 + 4b sinh(x) + 4b cosh(x) + 4a +--R + +--R - +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b - 486a )%%BK0 - 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b + 486a )%%BK0 + (- 27a b - 135a )%%BK0 + 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (162a b - 162a )%%BK0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BK0 - 54a %%BK0 + 4b sinh(x) + 4b cosh(x) +--R + +--R 4a +--R + +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b + 486a )%%BK0 + 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b - 486a )%%BK0 + (27a b + 135a )%%BK0 - 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (162a b - 162a )%%BK0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BK0 - 54a %%BK0 + 4b sinh(x) + 4b cosh(x) + 4a +--R + +--R - +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b + 486a )%%BK0 + 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b + 486a )%%BK0 + (- 27a b - 135a )%%BK0 + 9a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (- 162a b + 162a )%%BK0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BK0 - 54a %%BK0 + 4b sinh(x) + 4b cosh(x) +--R + +--R 4a +--R + +--R - +--R +------+ +--R \|4%%BK0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +--R ((486a b - 486a )%%BK0 + (27a b + 135a )%%BK0 - 9a ) +--R * +--R +------+ +--R \|4%%BK0 +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BK0 + 54a %%BK0 + 2b sinh(x) + 2b cosh(x) +--R + +--R - 4a +--R + +--R +------+ +--R \|4%%BK0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +--R ((- 486a b + 486a )%%BK0 + (- 27a b - 135a )%%BK0 + 9a ) +--R * +--R +------+ +--R \|4%%BK0 +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BK0 + 54a %%BK0 + 2b sinh(x) + 2b cosh(x) - 4a +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 38 + +--S 39 of 500 +m0207:= a0207-r0207 +--R +--R +--R (18) +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b - 486a )%%BK0 - 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b - 486a )%%BK0 + (27a b + 135a )%%BK0 - 9a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (- 162a b + 162a )%%BK0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BK0 - 54a %%BK0 + 4b sinh(x) + 4b cosh(x) + 4a +--R + +--R - +--R +----------------------+ +---------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b - 486a )%%BK0 - 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b + 486a )%%BK0 + (- 27a b - 135a )%%BK0 + 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (162a b - 162a )%%BK0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BK0 - 54a %%BK0 + 4b sinh(x) + 4b cosh(x) +--R + +--R 4a +--R + +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b + 486a )%%BK0 + 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b - 486a )%%BK0 + (27a b + 135a )%%BK0 - 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (162a b - 162a )%%BK0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BK0 - 54a %%BK0 + 4b sinh(x) + 4b cosh(x) + 4a +--R + +--R - +--R +----------------------+ +---------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b + 486a )%%BK0 + 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b + 486a )%%BK0 + (- 27a b - 135a )%%BK0 + 9a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BK0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (- 162a b + 162a )%%BK0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BK0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BK0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BK0 - 54a %%BK0 + 4b sinh(x) + 4b cosh(x) +--R + +--R 4a +--R + +--R - +--R +----------------------+ +---------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +------+ +--R \|\|- 1 \|b + \|a \|4%%BK0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +--R ((486a b - 486a )%%BK0 + (27a b + 135a )%%BK0 - 9a ) +--R * +--R +------+ +--R \|4%%BK0 +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BK0 + 54a %%BK0 + 2b sinh(x) + 2b cosh(x) +--R + +--R - 4a +--R + +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R +------+ +--R \|4%%BK0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +--R ((- 486a b + 486a )%%BK0 + (- 27a b - 135a )%%BK0 + 9a ) +--R * +--R +------+ +--R \|4%%BK0 +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BK0 + 54a %%BK0 + 2b sinh(x) + 2b cosh(x) - 4a +--R + +--R - +--R +---------------+ +-------------------+ +--R | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 4\|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 3+---+ x 3+-+ x 3+-+ +--R \|- 1 tanh(-)\|b + tanh(-)\|a +--R 2 2 +--R atanh(-------------------------------) +--R +----------------------+ +--R | 3+---+2 3+-+2 3+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R +----------------------+ +-------------------+ +--R | 3+---+2 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 4\|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R * +--R x 3+-+ x 3+-+ +--R tanh(-)\|b - tanh(-)\|a +--R 2 2 +--R atanh(-------------------------) +--R +---------------+ +--R | 3+-+2 3+-+2 +--R \|- \|b + \|a +--R + +--R +----------------------+ +---------------+ +--R | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 4\|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R 3+---+2 x 3+-+ x 3+-+ +--R \|- 1 tanh(-)\|b - tanh(-)\|a +--R 2 2 +--R atanh(--------------------------------) +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R / +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 6\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 39 + +--S 40 of 500 +--d0207:= D(m0207,x) +--E 40 + +--S 41 of 500 +t0208:= 1/(a+b*cosh(x)^4) +--R +--R +--R 1 +--R (19) -------------- +--R 4 +--R b cosh(x) + a +--R Type: Expression Integer +--E 41 + +--S 42 of 500 +r0208:= 1/2*atanh(a^(1/4)*tanh(x)/(a^(1/2)-(-b)^(1/2))^(1/2))/a^(3/4)/_ + (a^(1/2)-(-b)^(1/2))^(1/2)+1/2*atanh(a^(1/4)*tanh(x)/_ + (a^(1/2)+(-b)^(1/2))^(1/2))/a^(3/4)/(a^(1/2)+(-b)^(1/2))^(1/2) +--R +--R +--R (20) +--R +-------------+ 4+-+ +--R | +-+ +---+ tanh(x)\|a +--R \|\|a + \|- b atanh(----------------) +--R +-------------+ +--R | +-+ +---+ +--R \|\|a - \|- b +--R + +--R +-------------+ 4+-+ +--R | +-+ +---+ tanh(x)\|a +--R \|\|a - \|- b atanh(----------------) +--R +-------------+ +--R | +-+ +---+ +--R \|\|a + \|- b +--R / +--R +-------------+ +-------------+ +--R 4+-+3 | +-+ +---+ | +-+ +---+ +--R 2\|a \|\|a - \|- b \|\|a + \|- b +--R Type: Expression Integer +--E 42 + +--S 43 of 500 +a0208:= integrate(t0208,x) +--R +--R +--R (21) +--R - +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R * +--R log +--R +------------------------+ +--R 3 4 | b +--R ((32a b + 32a ) |- ---------------------- + 4a b) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R * +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R +------------------------+ +--R 2 3 | b 2 +--R (16a b + 16a ) |- ---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |--------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R * +--R log +--R +------------------------+ +--R 3 4 | b +--R ((32a b + 32a ) |- ---------------------- - 4a b) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R * +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |--------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R +------------------------+ +--R 2 3 | b 2 +--R (- 16a b - 16a ) |- ---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R - +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |--------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R * +--R log +--R +------------------------+ +--R 3 4 | b +--R ((- 32a b - 32a ) |- ---------------------- + 4a b) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R * +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |--------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R +------------------------+ +--R 2 3 | b 2 +--R (- 16a b - 16a ) |- ---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R * +--R log +--R +------------------------+ +--R 3 4 | b +--R ((- 32a b - 32a ) |- ---------------------- - 4a b) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R * +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R +------------------------+ +--R 2 3 | b 2 +--R (16a b + 16a ) |- ---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 43 + +--S 44 of 500 +m0208:= a0208-r0208 +--R +--R +--R (22) +--R - +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +-------------+ +--R 4+-+3 | \| 64a b + 128a b + 64a | +-+ +---+ +--R \|a |------------------------------------------- \|\|a - \|- b +--R | 2 +--R \| 4a b + 4a +--R * +--R +-------------+ +--R | +-+ +---+ +--R \|\|a + \|- b +--R * +--R log +--R +------------------------+ +--R 3 4 | b +--R ((32a b + 32a ) |- ---------------------- + 4a b) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R * +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R +------------------------+ +--R 2 3 | b 2 +--R (16a b + 16a ) |- ---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +-------------+ +--R 4+-+3 | \| 64a b + 128a b + 64a | +-+ +---+ +--R \|a |--------------------------------------------- \|\|a - \|- b +--R | 2 +--R \| 4a b + 4a +--R * +--R +-------------+ +--R | +-+ +---+ +--R \|\|a + \|- b +--R * +--R log +--R +------------------------+ +--R 3 4 | b +--R ((32a b + 32a ) |- ---------------------- - 4a b) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R * +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |--------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R +------------------------+ +--R 2 3 | b 2 +--R (- 16a b - 16a ) |- ---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R - +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R 4+-+3 | \| 64a b + 128a b + 64a +--R \|a |--------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R * +--R +-------------+ +-------------+ +--R | +-+ +---+ | +-+ +---+ +--R \|\|a - \|- b \|\|a + \|- b +--R * +--R log +--R +------------------------+ +--R 3 4 | b +--R ((- 32a b - 32a ) |- ---------------------- + 4a b) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R * +--R +---------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(- 8a b - 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |--------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R +------------------------+ +--R 2 3 | b 2 +--R (- 16a b - 16a ) |- ---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +-------------+ +--R 4+-+3 | \| 64a b + 128a b + 64a | +-+ +---+ +--R \|a |------------------------------------------- \|\|a - \|- b +--R | 2 +--R \| 4a b + 4a +--R * +--R +-------------+ +--R | +-+ +---+ +--R \|\|a + \|- b +--R * +--R log +--R +------------------------+ +--R 3 4 | b +--R ((- 32a b - 32a ) |- ---------------------- - 4a b) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R * +--R +-------------------------------------------+ +--R | +------------------------+ +--R | 2 | b +--R |(8a b + 8a ) |- ---------------------- + 1 +--R | | 3 2 4 5 +--R | \| 64a b + 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b + 4a +--R + +--R +------------------------+ +--R 2 3 | b 2 +--R (16a b + 16a ) |- ---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \| 64a b + 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R +-------------+ 4+-+ +--R | +-+ +---+ tanh(x)\|a +--R - \|\|a + \|- b atanh(----------------) +--R +-------------+ +--R | +-+ +---+ +--R \|\|a - \|- b +--R + +--R +-------------+ 4+-+ +--R | +-+ +---+ tanh(x)\|a +--R - \|\|a - \|- b atanh(----------------) +--R +-------------+ +--R | +-+ +---+ +--R \|\|a + \|- b +--R / +--R +-------------+ +-------------+ +--R 4+-+3 | +-+ +---+ | +-+ +---+ +--R 2\|a \|\|a - \|- b \|\|a + \|- b +--R Type: Expression Integer +--E 44 + +--S 45 of 500 +d0208:= D(m0208,x) +--R +--R +--R (23) +--R 8 7 2 6 +--R - b sinh(x) - 8b cosh(x)sinh(x) + (- 28b cosh(x) - 4b)sinh(x) +--R + +--R 3 5 +--R (- 56b cosh(x) - 24b cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 70b cosh(x) - 60b cosh(x) - 6b)sinh(x) +--R + +--R 5 3 3 +--R (- 56b cosh(x) - 80b cosh(x) - 24b cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 28b cosh(x) - 60b cosh(x) - 36b cosh(x) - 4b)sinh(x) +--R + +--R 7 5 3 +--R (- 8b cosh(x) - 24b cosh(x) - 24b cosh(x) - 8b cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - b cosh(x) - 4b cosh(x) - 6b cosh(x) - 4b cosh(x) - b +--R * +--R 4 +--R tanh(x) +--R + +--R 8 7 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) + 4b)sinh(x) +--R + +--R 3 5 +--R (56b cosh(x) + 24b cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (70b cosh(x) + 60b cosh(x) + 6b + 16a)sinh(x) +--R + +--R 5 3 3 +--R (56b cosh(x) + 80b cosh(x) + (24b + 64a)cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (28b cosh(x) + 60b cosh(x) + (36b + 96a)cosh(x) + 4b)sinh(x) +--R + +--R 7 5 3 +--R (8b cosh(x) + 24b cosh(x) + (24b + 64a)cosh(x) + 8b cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R b cosh(x) + 4b cosh(x) + (6b + 16a)cosh(x) + 4b cosh(x) + b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R (16b + 16a)sinh(x) + (64b + 64a)cosh(x)sinh(x) +--R + +--R 2 2 3 +--R (96b + 96a)cosh(x) sinh(x) + (64b + 64a)cosh(x) sinh(x) +--R + +--R 4 +--R (16b + 16a)cosh(x) +--R * +--R 4+-+2 +--R \|a +--R + +--R 8 7 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) + 4b)sinh(x) +--R + +--R 3 5 +--R (56b cosh(x) + 24b cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (70b cosh(x) + 60b cosh(x) + 6b - 16a)sinh(x) +--R + +--R 5 3 3 +--R (56b cosh(x) + 80b cosh(x) + (24b - 64a)cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (28b cosh(x) + 60b cosh(x) + (36b - 96a)cosh(x) + 4b)sinh(x) +--R + +--R 7 5 3 +--R (8b cosh(x) + 24b cosh(x) + (24b - 64a)cosh(x) + 8b cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R b cosh(x) + 4b cosh(x) + (6b - 16a)cosh(x) + 4b cosh(x) + b +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 2 6 +--R - b sinh(x) - 8b cosh(x)sinh(x) + (- 28b cosh(x) - 4b)sinh(x) +--R + +--R 3 5 +--R (- 56b cosh(x) - 24b cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 70b cosh(x) - 60b cosh(x) - 6b - 16a)sinh(x) +--R + +--R 5 3 3 +--R (- 56b cosh(x) - 80b cosh(x) + (- 24b - 64a)cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 28b cosh(x) - 60b cosh(x) + (- 36b - 96a)cosh(x) - 4b)sinh(x) +--R + +--R 7 5 3 +--R (- 8b cosh(x) - 24b cosh(x) + (- 24b - 64a)cosh(x) - 8b cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R - b cosh(x) - 4b cosh(x) + (- 6b - 16a)cosh(x) - 4b cosh(x) - b +--R * +--R +-+ +--R \|a +--R / +--R 8 7 +--R a b sinh(x) + 8a b cosh(x)sinh(x) +--R + +--R 2 6 +--R (28a b cosh(x) + 4a b)sinh(x) +--R + +--R 3 5 +--R (56a b cosh(x) + 24a b cosh(x))sinh(x) +--R + +--R 4 2 2 4 +--R (70a b cosh(x) + 60a b cosh(x) + 6a b + 16a )sinh(x) +--R + +--R 5 3 2 3 +--R (56a b cosh(x) + 80a b cosh(x) + (24a b + 64a )cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R 28a b cosh(x) + 60a b cosh(x) + (36a b + 96a )cosh(x) +--R + +--R 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 5 2 3 +--R 8a b cosh(x) + 24a b cosh(x) + (24a b + 64a )cosh(x) +--R + +--R 8a b cosh(x) +--R * +--R sinh(x) +--R + +--R 8 6 2 4 +--R a b cosh(x) + 4a b cosh(x) + (6a b + 16a )cosh(x) +--R + +--R 2 +--R 4a b cosh(x) + a b +--R * +--R 4 +--R tanh(x) +--R + +--R 2 8 2 7 +--R (b + a b)sinh(x) + (8b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R ((28b + 28a b)cosh(x) + 4b + 4a b)sinh(x) +--R + +--R 2 3 2 5 +--R ((56b + 56a b)cosh(x) + (24b + 24a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R (70b + 70a b)cosh(x) + (60b + 60a b)cosh(x) + 6b + 22a b +--R + +--R 2 +--R 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 3 +--R (56b + 56a b)cosh(x) + (80b + 80a b)cosh(x) +--R + +--R 2 2 +--R (24b + 88a b + 64a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 +--R (28b + 28a b)cosh(x) + (60b + 60a b)cosh(x) +--R + +--R 2 2 2 2 +--R (36b + 132a b + 96a )cosh(x) + 4b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 +--R (8b + 8a b)cosh(x) + (24b + 24a b)cosh(x) +--R + +--R 2 2 3 2 +--R (24b + 88a b + 64a )cosh(x) + (8b + 8a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 +--R (b + a b)cosh(x) + (4b + 4a b)cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (6b + 22a b + 16a )cosh(x) + (4b + 4a b)cosh(x) + b + a b +--R * +--R 4+-+2 +--R \|a +--R + +--R 8 7 +--R - 2a b sinh(x) - 16a b cosh(x)sinh(x) +--R + +--R 2 6 +--R (- 56a b cosh(x) - 8a b)sinh(x) +--R + +--R 3 5 +--R (- 112a b cosh(x) - 48a b cosh(x))sinh(x) +--R + +--R 4 2 2 4 +--R (- 140a b cosh(x) - 120a b cosh(x) - 12a b - 32a )sinh(x) +--R + +--R 5 3 2 +--R (- 112a b cosh(x) - 160a b cosh(x) + (- 48a b - 128a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 4 2 2 +--R - 56a b cosh(x) - 120a b cosh(x) + (- 72a b - 192a )cosh(x) +--R + +--R - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 5 2 3 +--R - 16a b cosh(x) - 48a b cosh(x) + (- 48a b - 128a )cosh(x) +--R + +--R - 16a b cosh(x) +--R * +--R sinh(x) +--R + +--R 8 6 2 4 +--R - 2a b cosh(x) - 8a b cosh(x) + (- 12a b - 32a )cosh(x) +--R + +--R 2 +--R - 8a b cosh(x) - 2a b +--R * +--R 2 +-+ +--R tanh(x) \|a +--R Type: Expression Integer +--E 45 + +--S 46 of 500 +t0209:= 1/(a+b*cosh(x)^5) +--R +--R +--R 1 +--R (24) -------------- +--R 5 +--R b cosh(x) + a +--R Type: Expression Integer +--E 46 + +--S 47 of 500 +r0209:= 2/5*atanh((a^(1/5)-b^(1/5))*tanh(1/2*x)/(a^(2/5)-b^(2/5))^(1/2))/_ + a^(4/5)/(a^(2/5)-b^(2/5))^(1/2)+_ + 2/5*atanh((a^(1/5)+(-1)^(3/5)*b^(1/5))*_ + tanh(1/2*x)/(a^(2/5)+(-1)^(1/5)*b^(2/5))^(1/2))/a^(4/5)/(a^(2/5)+_ + (-1)^(1/5)*b^(2/5))^(1/2)+2/5*atanh((a^(1/5)+(-1)^(1/5)*b^(1/5))*_ + tanh(1/2*x)/(a^(2/5)-(-1)^(2/5)*b^(2/5))^(1/2))/_ + a^(4/5)/(a^(2/5)-(-1)^(2/5)*b^(2/5))^(1/2)+_ + 2/5*atanh((a^(1/5)-(-1)^(4/5)*b^(1/5))*tanh(1/2*x)/_ + (a^(2/5)+(-1)^(3/5)*b^(2/5))^(1/2))/a^(4/5)/(a^(2/5)+_ + (-1)^(3/5)*b^(2/5))^(1/2)+2/5*atanh((a^(1/5)-(-1)^(2/5)*b^(1/5))*_ + tanh(1/2*x)/(a^(2/5)-(-1)^(4/5)*b^(2/5))^(1/2))/_ + a^(4/5)/(a^(2/5)-(-1)^(4/5)*b^(2/5))^(1/2) +--R +--R +--R (25) +--R - +--R +----------------------+ +---------------+ +-------------------+ +--R | 5+---+2 5+-+2 5+-+2 | 5+-+2 5+-+2 |5+---+5+-+2 5+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 5+---+2 x 5+-+ x 5+-+ +--R +--------------------+ \|- 1 tanh(-)\|b - tanh(-)\|a +--R |5+---+3 5+-+2 5+-+2 2 2 +--R \|\|- 1 \|b + \|a atanh(--------------------------------) +--R +----------------------+ +--R | 5+---+4 5+-+2 5+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R +----------------------+ +---------------+ +-------------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+-+2 5+-+2 |5+---+5+-+2 5+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 5+---+ x 5+-+ x 5+-+ +--R +--------------------+ \|- 1 tanh(-)\|b + tanh(-)\|a +--R |5+---+3 5+-+2 5+-+2 2 2 +--R \|\|- 1 \|b + \|a atanh(-------------------------------) +--R +----------------------+ +--R | 5+---+2 5+-+2 5+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R - +--R +----------------------+ +----------------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a +--R * +--R +-------------------+ +--------------------+ +--R |5+---+5+-+2 5+-+2 |5+---+3 5+-+2 5+-+2 +--R \|\|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R * +--R x 5+-+ x 5+-+ +--R tanh(-)\|b - tanh(-)\|a +--R 2 2 +--R atanh(-------------------------) +--R +---------------+ +--R | 5+-+2 5+-+2 +--R \|- \|b + \|a +--R + +--R +----------------------+ +----------------------+ +---------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 | 5+-+2 5+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R 5+---+3 x 5+-+ x 5+-+ +--R +--------------------+ \|- 1 tanh(-)\|b + tanh(-)\|a +--R |5+---+3 5+-+2 5+-+2 2 2 +--R \|\|- 1 \|b + \|a atanh(--------------------------------) +--R +-------------------+ +--R |5+---+5+-+2 5+-+2 +--R \|\|- 1 \|b + \|a +--R + +--R - +--R +----------------------+ +----------------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a +--R * +--R +---------------+ +-------------------+ +--R | 5+-+2 5+-+2 |5+---+5+-+2 5+-+2 +--R \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 5+---+4 x 5+-+ x 5+-+ +--R \|- 1 tanh(-)\|b - tanh(-)\|a +--R 2 2 +--R atanh(--------------------------------) +--R +--------------------+ +--R |5+---+3 5+-+2 5+-+2 +--R \|\|- 1 \|b + \|a +--R / +--R +----------------------+ +----------------------+ +--R 5+-+4 | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 +--R 5\|a \|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a +--R * +--R +---------------+ +-------------------+ +--------------------+ +--R | 5+-+2 5+-+2 |5+---+5+-+2 5+-+2 |5+---+3 5+-+2 5+-+2 +--R \|- \|b + \|a \|\|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 47 + +--S 48 of 500 +a0209:= integrate(t0209,x) +--R +--R +--R (26) +--R - +--R ROOT +--R 2 2 +--R (10b - 10a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BR2 +--R + +--R 2 4 4 2 6 +--R (- 250a b + 500a b - 250a )%%BR1 +--R + +--R 2 4 4 2 6 2 2 4 +--R (- 250a b + 500a b - 250a )%%BR0 - 50a b + 50a +--R * +--R %%BR2 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BR1 +--R + +--R 2 4 4 2 6 2 2 +--R (- 250a b + 500a b - 250a )%%BR0 - 50a b +--R + +--R 4 +--R 50a +--R * +--R %%BR1 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BR0 +--R + +--R 2 2 4 2 2 +--R (- 50a b + 50a )%%BR0 + 8b - 3a +--R / +--R 2 4 4 2 6 +--R 125a b - 250a b + 125a +--R + +--R 2 2 2 2 +--R (- 10b + 10a )%%BR2 + (- 10b + 10a )%%BR1 +--R + +--R 2 2 +--R (- 10b + 10a )%%BR0 - 2 +--R / +--R 2 2 +--R 5b - 5a +--R * +--R log +--R 8 2 10 6 2 +--R (11718750a b - 11718750a )%%BR0 - 234375a b +--R + +--R 8 +--R 234375a +--R * +--R %%BR1 +--R + +--R 6 2 8 4 2 6 +--R (- 234375a b + 234375a )%%BR0 + 3125a b - 3125a +--R * +--R %%BR2 +--R + +--R 6 2 8 4 2 6 +--R ((- 234375a b + 234375a )%%BR0 + 3125a b - 3125a ) +--R * +--R %%BR1 +--R + +--R 4 2 6 +--R (3125a b - 3125a )%%BR0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BR2 +--R + +--R 2 4 4 2 6 +--R (- 250a b + 500a b - 250a )%%BR1 +--R + +--R 2 4 4 2 6 2 2 +--R (- 250a b + 500a b - 250a )%%BR0 - 50a b +--R + +--R 4 +--R 50a +--R * +--R %%BR2 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BR1 +--R + +--R 2 4 4 2 6 2 2 +--R (- 250a b + 500a b - 250a )%%BR0 - 50a b +--R + +--R 4 +--R 50a +--R * +--R %%BR1 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BR0 +--R + +--R 2 2 4 2 2 +--R (- 50a b + 50a )%%BR0 + 8b - 3a +--R / +--R 2 4 4 2 6 +--R 125a b - 250a b + 125a +--R + +--R 8 2 10 6 2 +--R (11718750a b - 11718750a )%%BR0 - 234375a b +--R + +--R 8 +--R 234375a +--R * +--R %%BR1 +--R + +--R 6 2 8 4 2 6 +--R (- 234375a b + 234375a )%%BR0 + 3125a b - 3125a +--R * +--R 2 +--R %%BR2 +--R + +--R 8 2 10 6 2 +--R (11718750a b - 11718750a )%%BR0 - 234375a b +--R + +--R 8 +--R 234375a +--R * +--R 2 +--R %%BR1 +--R + +--R 8 2 10 2 +--R (11718750a b - 11718750a )%%BR0 +--R + +--R 6 2 8 6 +--R (- 234375a b + 2578125a )%%BR0 - 46875a +--R * +--R %%BR1 +--R + +--R 6 2 8 2 6 4 +--R (- 234375a b + 234375a )%%BR0 - 46875a %%BR0 + 625a +--R * +--R %%BR2 +--R + +--R 6 2 8 4 2 6 2 +--R ((- 234375a b + 234375a )%%BR0 + 3125a b - 3125a )%%BR1 +--R + +--R 6 2 8 2 6 4 +--R ((- 234375a b + 234375a )%%BR0 - 46875a %%BR0 + 625a ) +--R * +--R %%BR1 +--R + +--R 4 2 6 2 4 +--R (3125a b - 3125a )%%BR0 + 625a %%BR0 +--R * +--R ROOT +--R 2 2 +--R (10b - 10a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BR2 +--R + +--R 2 4 4 2 6 +--R (- 250a b + 500a b - 250a )%%BR1 +--R + +--R 2 4 4 2 6 +--R (- 250a b + 500a b - 250a )%%BR0 +--R + +--R 2 2 4 +--R - 50a b + 50a +--R * +--R %%BR2 +--R 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* +--R %%BR1 +--R + +--R 5 2 7 2 5 +--R (31250a b - 31250a )%%BR0 + 6250a %%BR0 +--R * +--R %%BR2 +--R + +--R 7 2 9 5 2 7 3 +--R ((- 2343750a b + 2343750a )%%BR0 + 31250a b - 31250a )%%BR1 +--R + +--R 7 2 9 2 +--R (- 2343750a b + 2343750a )%%BR0 +--R + +--R 5 2 7 5 +--R (31250a b - 500000a )%%BR0 + 6250a +--R * +--R 2 +--R %%BR1 +--R + +--R 7 2 9 3 +--R (- 2343750a b + 2343750a )%%BR0 +--R + +--R 5 2 7 2 5 3 +--R (31250a b - 500000a )%%BR0 + 43750a %%BR0 - 500a +--R * +--R %%BR1 +--R + +--R 5 2 7 3 5 2 3 +--R (31250a b - 31250a )%%BR0 + 6250a %%BR0 - 500a %%BR0 +--R + +--R 2b sinh(x) + 2b cosh(x) + 2a +--R + +--R - +--R +------+ +--R \|4%%BR1 +--R * +--R log +--R 8 2 10 6 2 +--R (11718750a b - 11718750a )%%BR0 - 234375a b +--R + +--R 8 +--R 234375a +--R * +--R 3 +--R %%BR1 +--R + +--R 8 2 10 2 8 +--R (11718750a b - 11718750a )%%BR0 + 2343750a %%BR0 +--R + +--R 4 2 6 +--R - 3125a b - 43750a +--R * +--R 2 +--R %%BR1 +--R + +--R 8 2 10 3 8 2 +--R (11718750a b - 11718750a )%%BR0 + 2343750a %%BR0 +--R + +--R 6 4 +--R - 187500a %%BR0 + 3125a +--R * +--R %%BR1 +--R + +--R 8 2 10 4 8 3 +--R (11718750a b - 11718750a )%%BR0 + 2343750a %%BR0 +--R + +--R 6 2 4 2 +--R - 187500a %%BR0 + 7500a %%BR0 - 100a +--R * +--R +------+ +--R \|4%%BR1 +--R + +--R 7 2 9 5 2 7 3 +--R ((2343750a b - 2343750a )%%BR0 - 31250a b + 31250a )%%BR1 +--R + +--R 7 2 9 2 7 5 +--R ((2343750a b - 2343750a )%%BR0 + 468750a %%BR0 - 6250a ) +--R * +--R 2 +--R %%BR1 +--R + +--R 7 2 9 3 7 2 +--R (2343750a b - 2343750a )%%BR0 + 468750a %%BR0 +--R + +--R 5 3 +--R - 37500a %%BR0 + 500a +--R * +--R %%BR1 +--R + +--R 7 2 9 4 7 3 +--R (2343750a b - 2343750a )%%BR0 + 468750a %%BR0 +--R + +--R 5 2 3 +--R - 37500a %%BR0 + 1500a %%BR0 + 2b sinh(x) + 2b cosh(x) - 18a +--R + +--R +------+ +--R \|4%%BR1 +--R * +--R log +--R 8 2 10 6 2 +--R (- 11718750a b + 11718750a )%%BR0 + 234375a b +--R + +--R 8 +--R - 234375a +--R * +--R 3 +--R %%BR1 +--R + +--R 8 2 10 2 8 +--R (- 11718750a b + 11718750a )%%BR0 - 2343750a %%BR0 +--R + +--R 4 2 6 +--R 3125a b + 43750a +--R * +--R 2 +--R %%BR1 +--R + +--R 8 2 10 3 8 2 +--R (- 11718750a b + 11718750a )%%BR0 - 2343750a %%BR0 +--R + +--R 6 4 +--R 187500a %%BR0 - 3125a +--R * +--R %%BR1 +--R + +--R 8 2 10 4 8 3 +--R (- 11718750a b + 11718750a )%%BR0 - 2343750a %%BR0 +--R + +--R 6 2 4 2 +--R 187500a %%BR0 - 7500a %%BR0 + 100a +--R * +--R +------+ +--R \|4%%BR1 +--R + +--R 7 2 9 5 2 7 3 +--R ((2343750a b - 2343750a )%%BR0 - 31250a b + 31250a )%%BR1 +--R + +--R 7 2 9 2 7 5 2 +--R ((2343750a b - 2343750a )%%BR0 + 468750a %%BR0 - 6250a )%%BR1 +--R + +--R 7 2 9 3 7 2 +--R (2343750a b - 2343750a )%%BR0 + 468750a %%BR0 +--R + +--R 5 3 +--R - 37500a %%BR0 + 500a +--R * +--R %%BR1 +--R + +--R 7 2 9 4 7 3 5 2 +--R (2343750a b - 2343750a )%%BR0 + 468750a %%BR0 - 37500a %%BR0 +--R + +--R 3 +--R 1500a %%BR0 + 2b sinh(x) + 2b cosh(x) - 18a +--R + +--R +------+ +--R \|4%%BR0 +--R * +--R log +--R 8 2 10 4 +--R (11718750a b - 11718750a )%%BR0 +--R + +--R 6 2 8 3 4 2 6 2 +--R (234375a b + 2109375a )%%BR0 + (3125a b - 143750a )%%BR0 +--R + +--R 4 2 +--R 4375a %%BR0 - 50a +--R * +--R +------+ +--R \|4%%BR0 +--R + +--R 7 2 9 4 5 2 7 3 +--R (- 2343750a b + 2343750a )%%BR0 + (- 31250a b - 437500a )%%BR0 +--R + +--R 5 2 3 +--R 31250a %%BR0 - 1000a %%BR0 + 2b sinh(x) + 2b cosh(x) + 12a +--R + +--R - +--R +------+ +--R \|4%%BR0 +--R * +--R log +--R 8 2 10 4 +--R (- 11718750a b + 11718750a )%%BR0 +--R + +--R 6 2 8 3 +--R (- 234375a b - 2109375a )%%BR0 +--R + +--R 4 2 6 2 4 2 +--R (- 3125a b + 143750a )%%BR0 - 4375a %%BR0 + 50a +--R * +--R +------+ +--R \|4%%BR0 +--R + +--R 7 2 9 4 +--R (- 2343750a b + 2343750a )%%BR0 +--R + +--R 5 2 7 3 5 2 3 +--R (- 31250a b - 437500a )%%BR0 + 31250a %%BR0 - 1000a %%BR0 +--R + +--R 2b sinh(x) + 2b cosh(x) + 12a +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 48 + +--S 49 of 500 +--m0209:= a0209-r0209 +--E 49 + +--S 50 of 500 +--d0209:= D(m0209,x) +--E 50 + +--S 51 of 500 +t0210:= 1/(a+b*cosh(x)^6) +--R +--R +--R 1 +--R (27) -------------- +--R 6 +--R b cosh(x) + a +--R Type: Expression Integer +--E 51 + +--S 52 of 500 +r0210:= 1/3*atanh(a^(1/6)*tanh(x)/(a^(1/3)+b^(1/3))^(1/2))/a^(5/6)/_ + (a^(1/3)+b^(1/3))^(1/2)+1/3*atanh(a^(1/6)*tanh(x)/(a^(1/3)-_ + (-1)^(1/3)*b^(1/3))^(1/2))/a^(5/6)/(a^(1/3)-_ + (-1)^(1/3)*b^(1/3))^(1/2)+1/3*atanh(a^(1/6)*tanh(x)/(a^(1/3)+_ + (-1)^(2/3)*b^(1/3))^(1/2))/a^(5/6)/(a^(1/3)+(-1)^(2/3)*b^(1/3))^(1/2) +--R +--R +--R (28) +--R +-----------+ +------------------+ 6+-+ +--R |3+-+ 3+-+ |3+---+2 3+-+ 3+-+ tanh(x)\|a +--R \|\|b + \|a \|\|- 1 \|b + \|a atanh(----------------------) +--R +-------------------+ +--R | 3+---+3+-+ 3+-+ +--R \|- \|- 1 \|b + \|a +--R + +--R +-------------------+ +------------------+ 6+-+ +--R | 3+---+3+-+ 3+-+ |3+---+2 3+-+ 3+-+ tanh(x)\|a +--R \|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a atanh(--------------) +--R +-----------+ +--R |3+-+ 3+-+ +--R \|\|b + \|a +--R + +--R +-------------------+ +-----------+ 6+-+ +--R | 3+---+3+-+ 3+-+ |3+-+ 3+-+ tanh(x)\|a +--R \|- \|- 1 \|b + \|a \|\|b + \|a atanh(---------------------) +--R +------------------+ +--R |3+---+2 3+-+ 3+-+ +--R \|\|- 1 \|b + \|a +--R / +--R +-------------------+ +-----------+ +------------------+ +--R 6+-+5 | 3+---+3+-+ 3+-+ |3+-+ 3+-+ |3+---+2 3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 52 + +--S 53 of 500 +a0210:= integrate(t0210,x) +--R +--R +--R (29) +--R ROOT +--R 2 +--R (12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R * +--R log +--R 5 6 3 4 +--R ((3888a b + 3888a )%%BS0 - 108a b - 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 5 6 2 3 4 2 +--R (3888a b + 3888a )%%BS0 + (108a b - 216a )%%BS0 - 6a b + 3a +--R * +--R ROOT +--R 2 +--R (12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R + +--R 4 5 2 3 +--R ((- 1296a b - 1296a )%%BS0 + 36a b + 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b - 1296a )%%BS0 + (- 36a b + 72a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - a +--R + +--R - +--R ROOT +--R 2 +--R (- 12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R * +--R log +--R 5 6 3 4 +--R ((3888a b + 3888a )%%BS0 - 108a b - 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 5 6 2 3 4 +--R (- 3888a b - 3888a )%%BS0 + (- 108a b + 216a )%%BS0 + 6a b +--R + +--R 2 +--R - 3a +--R * +--R ROOT +--R 2 +--R (- 12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R + +--R 4 5 2 3 +--R ((1296a b + 1296a )%%BS0 - 36a b - 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b - 1296a )%%BS0 + (- 36a b + 72a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - a +--R + +--R ROOT +--R 2 +--R (- 12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R * +--R log +--R 5 6 3 4 +--R ((- 3888a b - 3888a )%%BS0 + 108a b + 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 5 6 2 3 4 2 +--R (3888a b + 3888a )%%BS0 + (108a b - 216a )%%BS0 - 6a b + 3a +--R * +--R ROOT +--R 2 +--R (- 12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R + +--R 4 5 2 3 +--R ((1296a b + 1296a )%%BS0 - 36a b - 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b - 1296a )%%BS0 + (- 36a b + 72a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - a +--R + +--R - +--R ROOT +--R 2 +--R (12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R * +--R log +--R 5 6 3 4 +--R ((- 3888a b - 3888a )%%BS0 + 108a b + 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 5 6 2 3 4 +--R (- 3888a b - 3888a )%%BS0 + (- 108a b + 216a )%%BS0 + 6a b +--R + +--R 2 +--R - 3a +--R * +--R ROOT +--R 2 +--R (12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R + +--R 4 5 2 3 +--R ((- 1296a b - 1296a )%%BS0 + 36a b + 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b - 1296a )%%BS0 + (- 36a b + 72a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - a +--R + +--R - +--R +------+ +--R \|4%%BS0 +--R * +--R log +--R 5 6 2 3 4 +--R (7776a b + 7776a )%%BS0 + (216a b - 432a )%%BS0 + 6a b +--R + +--R 2 +--R 6a +--R * +--R +------+ +--R \|4%%BS0 +--R + +--R 4 5 2 2 3 2 +--R (2592a b + 2592a )%%BS0 + (72a b - 144a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R +------+ +--R \|4%%BS0 +--R * +--R log +--R 5 6 2 3 4 +--R (- 7776a b - 7776a )%%BS0 + (- 216a b + 432a )%%BS0 - 6a b +--R + +--R 2 +--R - 6a +--R * +--R +------+ +--R \|4%%BS0 +--R + +--R 4 5 2 2 3 2 +--R (2592a b + 2592a )%%BS0 + (72a b - 144a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 53 + +--S 54 of 500 +m0210:= a0210-r0210 +--R +--R +--R (30) +--R +-------------------+ +-----------+ +------------------+ +--R 6+-+5 | 3+---+3+-+ 3+-+ |3+-+ 3+-+ |3+---+2 3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 +--R (12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R * +--R log +--R 5 6 3 4 +--R ((3888a b + 3888a )%%BS0 - 108a b - 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 5 6 2 3 4 2 +--R (3888a b + 3888a )%%BS0 + (108a b - 216a )%%BS0 - 6a b + 3a +--R * +--R ROOT +--R 2 +--R (12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R + +--R 4 5 2 3 +--R ((- 1296a b - 1296a )%%BS0 + 36a b + 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b - 1296a )%%BS0 + (- 36a b + 72a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - a +--R + +--R - +--R +-------------------+ +-----------+ +------------------+ +--R 6+-+5 | 3+---+3+-+ 3+-+ |3+-+ 3+-+ |3+---+2 3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 +--R (- 12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R * +--R log +--R 5 6 3 4 +--R ((3888a b + 3888a )%%BS0 - 108a b - 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 5 6 2 3 4 +--R (- 3888a b - 3888a )%%BS0 + (- 108a b + 216a )%%BS0 + 6a b +--R + +--R 2 +--R - 3a +--R * +--R ROOT +--R 2 +--R (- 12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R + +--R 4 5 2 3 +--R ((1296a b + 1296a )%%BS0 - 36a b - 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b - 1296a )%%BS0 + (- 36a b + 72a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - a +--R + +--R +-------------------+ +-----------+ +------------------+ +--R 6+-+5 | 3+---+3+-+ 3+-+ |3+-+ 3+-+ |3+---+2 3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 +--R (- 12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R * +--R log +--R 5 6 3 4 +--R ((- 3888a b - 3888a )%%BS0 + 108a b + 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 5 6 2 3 4 2 +--R (3888a b + 3888a )%%BS0 + (108a b - 216a )%%BS0 - 6a b + 3a +--R * +--R ROOT +--R 2 +--R (- 12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R + +--R 4 5 2 3 +--R ((1296a b + 1296a )%%BS0 - 36a b - 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b - 1296a )%%BS0 + (- 36a b + 72a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - a +--R + +--R - +--R +-------------------+ +-----------+ +------------------+ +--R 6+-+5 | 3+---+3+-+ 3+-+ |3+-+ 3+-+ |3+---+2 3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 +--R (12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R * +--R log +--R 5 6 3 4 +--R ((- 3888a b - 3888a )%%BS0 + 108a b + 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 5 6 2 3 4 +--R (- 3888a b - 3888a )%%BS0 + (- 108a b + 216a )%%BS0 + 6a b +--R + +--R 2 +--R - 3a +--R * +--R ROOT +--R 2 +--R (12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 2 +--R (- 12a b - 12a )%%BS0 + 1 +--R / +--R 2 +--R 6a b + 6a +--R + +--R 4 5 2 3 +--R ((- 1296a b - 1296a )%%BS0 + 36a b + 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b - 2592a b - 1296a )%%BS0 +--R + +--R 2 3 +--R (72a b + 72a )%%BS0 - 4b - a +--R / +--R 3 2 4 5 +--R 432a b + 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b - 1296a )%%BS0 + (- 36a b + 72a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - a +--R + +--R - +--R +-------------------+ +-----------+ +------------------+ +--R 6+-+5 | 3+---+3+-+ 3+-+ |3+-+ 3+-+ |3+---+2 3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R * +--R +------+ +--R \|4%%BS0 +--R * +--R log +--R 5 6 2 3 4 +--R (7776a b + 7776a )%%BS0 + (216a b - 432a )%%BS0 + 6a b +--R + +--R 2 +--R 6a +--R * +--R +------+ +--R \|4%%BS0 +--R + +--R 4 5 2 2 3 2 +--R (2592a b + 2592a )%%BS0 + (72a b - 144a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R +-------------------+ +-----------+ +------------------+ +--R 6+-+5 | 3+---+3+-+ 3+-+ |3+-+ 3+-+ |3+---+2 3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R * +--R +------+ +--R \|4%%BS0 +--R * +--R log +--R 5 6 2 3 4 +--R (- 7776a b - 7776a )%%BS0 + (- 216a b + 432a )%%BS0 - 6a b +--R + +--R 2 +--R - 6a +--R * +--R +------+ +--R \|4%%BS0 +--R + +--R 4 5 2 2 3 2 +--R (2592a b + 2592a )%%BS0 + (72a b - 144a )%%BS0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R +-----------+ +------------------+ 6+-+ +--R |3+-+ 3+-+ |3+---+2 3+-+ 3+-+ tanh(x)\|a +--R - 2\|\|b + \|a \|\|- 1 \|b + \|a atanh(----------------------) +--R +-------------------+ +--R | 3+---+3+-+ 3+-+ +--R \|- \|- 1 \|b + \|a +--R + +--R +-------------------+ +------------------+ 6+-+ +--R | 3+---+3+-+ 3+-+ |3+---+2 3+-+ 3+-+ tanh(x)\|a +--R - 2\|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a atanh(--------------) +--R +-----------+ +--R |3+-+ 3+-+ +--R \|\|b + \|a +--R + +--R +-------------------+ +-----------+ 6+-+ +--R | 3+---+3+-+ 3+-+ |3+-+ 3+-+ tanh(x)\|a +--R - 2\|- \|- 1 \|b + \|a \|\|b + \|a atanh(---------------------) +--R +------------------+ +--R |3+---+2 3+-+ 3+-+ +--R \|\|- 1 \|b + \|a +--R / +--R +-------------------+ +-----------+ +------------------+ +--R 6+-+5 | 3+---+3+-+ 3+-+ |3+-+ 3+-+ |3+---+2 3+-+ 3+-+ +--R 6\|a \|- \|- 1 \|b + \|a \|\|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 54 + +--S 55 of 500 +--d0210:= D(m0210,x) +--E 55 + +--S 56 of 500 +t0211:= 1/(a+b*cosh(x)^8) +--R +--R +--R 1 +--R (31) -------------- +--R 8 +--R b cosh(x) + a +--R Type: Expression Integer +--E 56 + +--S 57 of 500 +r0211:= 1/4*atanh(a^(1/8)*tanh(x)/(a^(1/4)+(-b)^(1/4))^(1/2))/_ + a^(7/8)/(a^(1/4)+(-b)^(1/4))^(1/2)+1/4*atanh(a^(1/4)*_ + tanh(x)/(a^(1/2)-a^(1/4)*(-b)^(1/4))^(1/2))/a^(3/4)/_ + (a^(1/2)-a^(1/4)*(-b)^(1/4))^(1/2)+1/4*atanh(a^(1/4)*_ + tanh(x)/(a^(1/2)-%i*a^(1/4)*(-b)^(1/4))^(1/2))/a^(3/4)/_ + (a^(1/2)-%i*a^(1/4)*(-b)^(1/4))^(1/2)+1/4*atanh(a^(1/4)*_ + tanh(x)/(a^(1/2)+%i*a^(1/4)*(-b)^(1/4))^(1/2))/a^(3/4)/_ + (a^(1/2)+%i*a^(1/4)*(-b)^(1/4))^(1/2) +--R +--R +--R (32) +--R +---------------------+ +-------------+ +-------------------+ +--R 8+-+7 | 4+---+4+-+ +-+ |4+-+ 4+---+ | 4+---+4+-+ +-+ +--R \|a \|- %i\|- b \|a + \|a \|\|a + \|- b \|%i\|- b \|a + \|a +--R * +--R 4+-+ +--R tanh(x)\|a +--R atanh(----------------------) +--R +-------------------+ +--R | 4+---+4+-+ +-+ +--R \|- \|- b \|a + \|a +--R + +--R +-------------------+ +-------------+ +-------------------+ +--R 8+-+7 | 4+---+4+-+ +-+ |4+-+ 4+---+ | 4+---+4+-+ +-+ +--R \|a \|- \|- b \|a + \|a \|\|a + \|- b \|%i\|- b \|a + \|a +--R * +--R 4+-+ +--R tanh(x)\|a +--R atanh(------------------------) +--R +---------------------+ +--R | 4+---+4+-+ +-+ +--R \|- %i\|- b \|a + \|a +--R + +--R +-------------------+ +---------------------+ +--R 4+-+3 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ +--R \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a +--R * +--R +-------------------+ 8+-+ +--R | 4+---+4+-+ +-+ tanh(x)\|a +--R \|%i\|- b \|a + \|a atanh(----------------) +--R +-------------+ +--R |4+-+ 4+---+ +--R \|\|a + \|- b +--R + +--R +-------------------+ +---------------------+ +-------------+ +--R 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ |4+-+ 4+---+ +--R \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a \|\|a + \|- b +--R * +--R 4+-+ +--R tanh(x)\|a +--R atanh(----------------------) +--R +-------------------+ +--R | 4+---+4+-+ +-+ +--R \|%i\|- b \|a + \|a +--R / +--R +-------------------+ +---------------------+ +-------------+ +--R 4+-+3 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ |4+-+ 4+---+ +--R 4\|a \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a \|\|a + \|- b +--R * +--R +-------------------+ +--R | 4+---+4+-+ +-+ +--R \|%i\|- b \|a + \|a +--R Type: Expression Complex Integer +--E 57 + +--S 58 of 500 +a0211:= integrate(t0211,x) +--R +--R +--R (33) +--R - +--R ROOT +--R 2 +--R (16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R * +--R log +--R 7 8 5 6 +--R ((1048576a b + 1048576a )%%BT0 - 16384a b - 16384a ) +--R * +--R %%BT1 +--R + +--R 5 6 3 4 +--R (- 16384a b - 16384a )%%BT0 + 256a b + 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((1048576a b + 1048576a )%%BT0 - 16384a b - 16384a )%%BT1 +--R + +--R 7 8 2 6 3 +--R (1048576a b + 1048576a )%%BT0 - 65536a %%BT0 - 256a b +--R + +--R 4 +--R 768a +--R * +--R %%BT1 +--R + +--R 5 6 2 3 4 +--R (- 16384a b - 16384a )%%BT0 + (- 256a b + 768a )%%BT0 +--R + +--R 2 +--R 8a b - 8a +--R * +--R ROOT +--R 2 +--R (16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 +--R (- 1024a b - 2048a b - 1024a )%%BT0 +--R + +--R 2 3 +--R 64a b + 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R + +--R 6 7 4 5 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 4 5 2 3 +--R (- 4096a b - 4096a )%%BT0 + 64a b + 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b + 262144a )%%BT0 - 16384a %%BT0 - 64a b + 192a ) +--R * +--R %%BT1 +--R + +--R 4 5 2 2 3 +--R (- 4096a b - 4096a )%%BT0 + (- 64a b + 192a )%%BT0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R + +--R ROOT +--R 2 +--R (- 16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b - 2048a b - 1024a )%%BT0 + 64a b + 64a ) +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R * +--R log +--R 7 8 5 6 +--R ((1048576a b + 1048576a )%%BT0 - 16384a b - 16384a )%%BT1 +--R + +--R 5 6 3 4 +--R (- 16384a b - 16384a )%%BT0 + 256a b + 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((- 1048576a b - 1048576a )%%BT0 + 16384a b + 16384a )%%BT1 +--R + +--R 7 8 2 6 3 +--R (- 1048576a b - 1048576a )%%BT0 + 65536a %%BT0 + 256a b +--R + +--R 4 +--R - 768a +--R * +--R %%BT1 +--R + +--R 5 6 2 3 4 2 +--R (16384a b + 16384a )%%BT0 + (256a b - 768a )%%BT0 - 8a b + 8a +--R * +--R ROOT +--R 2 +--R (- 16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R + +--R 6 7 4 5 +--R ((- 262144a b - 262144a )%%BT0 + 4096a b + 4096a )%%BT1 +--R + +--R 4 5 2 3 +--R (4096a b + 4096a )%%BT0 - 64a b - 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b - 2048a b - 1024a )%%BT0 + 64a b + 64a ) +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b + 262144a )%%BT0 - 16384a %%BT0 - 64a b + 192a )%%BT1 +--R + +--R 4 5 2 2 3 2 +--R (- 4096a b - 4096a )%%BT0 + (- 64a b + 192a )%%BT0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R + +--R - +--R ROOT +--R 2 +--R (- 16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R * +--R log +--R 7 8 5 +--R (- 1048576a b - 1048576a )%%BT0 + 16384a b +--R + +--R 6 +--R 16384a +--R * +--R %%BT1 +--R + +--R 5 6 3 4 +--R (16384a b + 16384a )%%BT0 - 256a b - 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((1048576a b + 1048576a )%%BT0 - 16384a b - 16384a )%%BT1 +--R + +--R 7 8 2 6 3 +--R (1048576a b + 1048576a )%%BT0 - 65536a %%BT0 - 256a b +--R + +--R 4 +--R 768a +--R * +--R %%BT1 +--R + +--R 5 6 2 3 4 +--R (- 16384a b - 16384a )%%BT0 + (- 256a b + 768a )%%BT0 +--R + +--R 2 +--R 8a b - 8a +--R * +--R ROOT +--R 2 +--R (- 16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 +--R (- 1024a b - 2048a b - 1024a )%%BT0 +--R + +--R 2 3 +--R 64a b + 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R + +--R 6 7 4 5 +--R ((- 262144a b - 262144a )%%BT0 + 4096a b + 4096a )%%BT1 +--R + +--R 4 5 2 3 +--R (4096a b + 4096a )%%BT0 - 64a b - 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b + 262144a )%%BT0 - 16384a %%BT0 - 64a b + 192a ) +--R * +--R %%BT1 +--R + +--R 4 5 2 2 3 +--R (- 4096a b - 4096a )%%BT0 + (- 64a b + 192a )%%BT0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R + +--R ROOT +--R 2 +--R (16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b - 2048a b - 1024a )%%BT0 + 64a b + 64a ) +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R * +--R log +--R 7 8 5 6 +--R ((- 1048576a b - 1048576a )%%BT0 + 16384a b + 16384a ) +--R * +--R %%BT1 +--R + +--R 5 6 3 4 +--R (16384a b + 16384a )%%BT0 - 256a b - 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((- 1048576a b - 1048576a )%%BT0 + 16384a b + 16384a )%%BT1 +--R + +--R 7 8 2 6 3 +--R (- 1048576a b - 1048576a )%%BT0 + 65536a %%BT0 + 256a b +--R + +--R 4 +--R - 768a +--R * +--R %%BT1 +--R + +--R 5 6 2 3 4 2 +--R (16384a b + 16384a )%%BT0 + (256a b - 768a )%%BT0 - 8a b + 8a +--R * +--R ROOT +--R 2 +--R (16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R + +--R 6 7 4 5 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 4 5 2 3 +--R (- 4096a b - 4096a )%%BT0 + 64a b + 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b - 2048a b - 1024a )%%BT0 + 64a b + 64a ) +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b + 262144a )%%BT0 - 16384a %%BT0 - 64a b + 192a )%%BT1 +--R + +--R 4 5 2 2 3 2 +--R (- 4096a b - 4096a )%%BT0 + (- 64a b + 192a )%%BT0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R + +--R +------+ +--R \|4%%BT1 +--R * +--R log +--R 7 8 5 6 2 +--R ((2097152a b + 2097152a )%%BT0 - 32768a b - 32768a )%%BT1 +--R + +--R 7 8 2 6 3 +--R (2097152a b + 2097152a )%%BT0 - 131072a %%BT0 - 512a b +--R + +--R 4 +--R 1536a +--R * +--R %%BT1 +--R + +--R 7 8 3 6 2 4 +--R (2097152a b + 2097152a )%%BT0 - 131072a %%BT0 + 3072a %%BT0 +--R + +--R 2 +--R - 8a b - 24a +--R * +--R +------+ +--R \|4%%BT1 +--R + +--R 6 7 4 5 2 +--R ((- 524288a b - 524288a )%%BT0 + 8192a b + 8192a )%%BT1 +--R + +--R 6 7 2 5 2 3 +--R ((- 524288a b - 524288a )%%BT0 + 32768a %%BT0 + 128a b - 384a ) +--R * +--R %%BT1 +--R + +--R 6 7 3 5 2 3 +--R (- 524288a b - 524288a )%%BT0 + 32768a %%BT0 - 768a %%BT0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 6a +--R + +--R - +--R +------+ +--R \|4%%BT1 +--R * +--R log +--R 7 8 5 6 +--R ((- 2097152a b - 2097152a )%%BT0 + 32768a b + 32768a ) +--R * +--R 2 +--R %%BT1 +--R + +--R 7 8 2 6 +--R (- 2097152a b - 2097152a )%%BT0 + 131072a %%BT0 +--R + +--R 3 4 +--R 512a b - 1536a +--R * +--R %%BT1 +--R + +--R 7 8 3 6 2 +--R (- 2097152a b - 2097152a )%%BT0 + 131072a %%BT0 +--R + +--R 4 2 +--R - 3072a %%BT0 + 8a b + 24a +--R * +--R +------+ +--R \|4%%BT1 +--R + +--R 6 7 4 5 2 +--R ((- 524288a b - 524288a )%%BT0 + 8192a b + 8192a )%%BT1 +--R + +--R 6 7 2 5 2 +--R (- 524288a b - 524288a )%%BT0 + 32768a %%BT0 + 128a b +--R + +--R 3 +--R - 384a +--R * +--R %%BT1 +--R + +--R 6 7 3 5 2 3 +--R (- 524288a b - 524288a )%%BT0 + 32768a %%BT0 - 768a %%BT0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 6a +--R + +--R - +--R +------+ +--R \|4%%BT0 +--R * +--R log +--R 7 8 3 5 6 2 +--R (2097152a b + 2097152a )%%BT0 + (32768a b - 98304a )%%BT0 +--R + +--R 3 4 2 +--R (512a b + 1536a )%%BT0 + 8a b - 8a +--R * +--R +------+ +--R \|4%%BT0 +--R + +--R 6 7 3 4 5 2 +--R (524288a b + 524288a )%%BT0 + (8192a b - 24576a )%%BT0 +--R + +--R 2 3 2 +--R (128a b + 384a )%%BT0 + b sinh(x) + 2b cosh(x)sinh(x) +--R + +--R 2 +--R b cosh(x) + b - 2a +--R + +--R +------+ +--R \|4%%BT0 +--R * +--R log +--R 7 8 3 +--R (- 2097152a b - 2097152a )%%BT0 +--R + +--R 5 6 2 3 4 +--R (- 32768a b + 98304a )%%BT0 + (- 512a b - 1536a )%%BT0 - 8a b +--R + +--R 2 +--R 8a +--R * +--R +------+ +--R \|4%%BT0 +--R + +--R 6 7 3 4 5 2 +--R (524288a b + 524288a )%%BT0 + (8192a b - 24576a )%%BT0 +--R + +--R 2 3 2 +--R (128a b + 384a )%%BT0 + b sinh(x) + 2b cosh(x)sinh(x) +--R + +--R 2 +--R b cosh(x) + b - 2a +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 58 + +--S 59 of 500 +m0211:= a0211-r0211 +--R +--R +--R (34) +--R - +--R +-------------------+ +---------------------+ +--R 4+-+3 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ +--R 2\|a \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a +--R * +--R +-------------+ +-------------------+ +--R |4+-+ 4+---+ | 4+---+4+-+ +-+ +--R \|\|a + \|- b \|%i\|- b \|a + \|a +--R * +--R ROOT +--R 2 +--R (16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R * +--R log +--R 7 8 5 6 +--R ((1048576a b + 1048576a )%%BT0 - 16384a b - 16384a ) +--R * +--R %%BT1 +--R + +--R 5 6 3 4 +--R (- 16384a b - 16384a )%%BT0 + 256a b + 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((1048576a b + 1048576a )%%BT0 - 16384a b - 16384a )%%BT1 +--R + +--R 7 8 2 6 3 +--R (1048576a b + 1048576a )%%BT0 - 65536a %%BT0 - 256a b +--R + +--R 4 +--R 768a +--R * +--R %%BT1 +--R + +--R 5 6 2 3 4 +--R (- 16384a b - 16384a )%%BT0 + (- 256a b + 768a )%%BT0 +--R + +--R 2 +--R 8a b - 8a +--R * +--R ROOT +--R 2 +--R (16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 +--R (- 1024a b - 2048a b - 1024a )%%BT0 +--R + +--R 2 3 +--R 64a b + 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R + +--R 6 7 4 5 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 4 5 2 3 +--R (- 4096a b - 4096a )%%BT0 + 64a b + 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b + 262144a )%%BT0 - 16384a %%BT0 - 64a b + 192a ) +--R * +--R %%BT1 +--R + +--R 4 5 2 2 3 +--R (- 4096a b - 4096a )%%BT0 + (- 64a b + 192a )%%BT0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R + +--R +-------------------+ +---------------------+ +--R 4+-+3 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ +--R 2\|a \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a +--R * +--R +-------------+ +-------------------+ +--R |4+-+ 4+---+ | 4+---+4+-+ +-+ +--R \|\|a + \|- b \|%i\|- b \|a + \|a +--R * +--R ROOT +--R 2 +--R (- 16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b - 2048a b - 1024a )%%BT0 + 64a b + 64a ) +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R * +--R log +--R 7 8 5 6 +--R ((1048576a b + 1048576a )%%BT0 - 16384a b - 16384a )%%BT1 +--R + +--R 5 6 3 4 +--R (- 16384a b - 16384a )%%BT0 + 256a b + 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((- 1048576a b - 1048576a )%%BT0 + 16384a b + 16384a )%%BT1 +--R + +--R 7 8 2 6 3 +--R (- 1048576a b - 1048576a )%%BT0 + 65536a %%BT0 + 256a b +--R + +--R 4 +--R - 768a +--R * +--R %%BT1 +--R + +--R 5 6 2 3 4 2 +--R (16384a b + 16384a )%%BT0 + (256a b - 768a )%%BT0 - 8a b + 8a +--R * +--R ROOT +--R 2 +--R (- 16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R + +--R 6 7 4 5 +--R ((- 262144a b - 262144a )%%BT0 + 4096a b + 4096a )%%BT1 +--R + +--R 4 5 2 3 +--R (4096a b + 4096a )%%BT0 - 64a b - 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b - 2048a b - 1024a )%%BT0 + 64a b + 64a ) +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b + 262144a )%%BT0 - 16384a %%BT0 - 64a b + 192a )%%BT1 +--R + +--R 4 5 2 2 3 2 +--R (- 4096a b - 4096a )%%BT0 + (- 64a b + 192a )%%BT0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R + +--R - +--R +-------------------+ +---------------------+ +--R 4+-+3 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ +--R 2\|a \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a +--R * +--R +-------------+ +-------------------+ +--R |4+-+ 4+---+ | 4+---+4+-+ +-+ +--R \|\|a + \|- b \|%i\|- b \|a + \|a +--R * +--R ROOT +--R 2 +--R (- 16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R * +--R log +--R 7 8 5 +--R (- 1048576a b - 1048576a )%%BT0 + 16384a b +--R + +--R 6 +--R 16384a +--R * +--R %%BT1 +--R + +--R 5 6 3 4 +--R (16384a b + 16384a )%%BT0 - 256a b - 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((1048576a b + 1048576a )%%BT0 - 16384a b - 16384a )%%BT1 +--R + +--R 7 8 2 6 3 +--R (1048576a b + 1048576a )%%BT0 - 65536a %%BT0 - 256a b +--R + +--R 4 +--R 768a +--R * +--R %%BT1 +--R + +--R 5 6 2 3 4 +--R (- 16384a b - 16384a )%%BT0 + (- 256a b + 768a )%%BT0 +--R + +--R 2 +--R 8a b - 8a +--R * +--R ROOT +--R 2 +--R (- 16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 +--R (- 1024a b - 2048a b - 1024a )%%BT0 +--R + +--R 2 3 +--R 64a b + 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R + +--R 6 7 4 5 +--R ((- 262144a b - 262144a )%%BT0 + 4096a b + 4096a )%%BT1 +--R + +--R 4 5 2 3 +--R (4096a b + 4096a )%%BT0 - 64a b - 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b + 262144a )%%BT0 - 16384a %%BT0 - 64a b + 192a ) +--R * +--R %%BT1 +--R + +--R 4 5 2 2 3 +--R (- 4096a b - 4096a )%%BT0 + (- 64a b + 192a )%%BT0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R + +--R +-------------------+ +---------------------+ +--R 4+-+3 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ +--R 2\|a \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a +--R * +--R +-------------+ +-------------------+ +--R |4+-+ 4+---+ | 4+---+4+-+ +-+ +--R \|\|a + \|- b \|%i\|- b \|a + \|a +--R * +--R ROOT +--R 2 +--R (16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b - 2048a b - 1024a )%%BT0 + 64a b + 64a ) +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R * +--R log +--R 7 8 5 6 +--R ((- 1048576a b - 1048576a )%%BT0 + 16384a b + 16384a ) +--R * +--R %%BT1 +--R + +--R 5 6 3 4 +--R (16384a b + 16384a )%%BT0 - 256a b - 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((- 1048576a b - 1048576a )%%BT0 + 16384a b + 16384a )%%BT1 +--R + +--R 7 8 2 6 3 +--R (- 1048576a b - 1048576a )%%BT0 + 65536a %%BT0 + 256a b +--R + +--R 4 +--R - 768a +--R * +--R %%BT1 +--R + +--R 5 6 2 3 4 2 +--R (16384a b + 16384a )%%BT0 + (256a b - 768a )%%BT0 - 8a b + 8a +--R * +--R ROOT +--R 2 +--R (16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b - 2048a b - 1024a )%%BT0 + 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b - 16a )%%BT1 + (- 16a b - 16a )%%BT0 + 1 +--R / +--R 2 +--R 8a b + 8a +--R + +--R 6 7 4 5 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 4 5 2 3 +--R (- 4096a b - 4096a )%%BT0 + 64a b + 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b - 2048a b - 1024a )%%BT0 + 64a b + 64a ) +--R * +--R %%BT1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b - 3072a b - 1536a )%%BT0 +--R + +--R 2 3 +--R (64a b + 64a )%%BT0 - 3b - a +--R / +--R 3 2 4 5 +--R 512a b + 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b + 262144a )%%BT0 - 4096a b - 4096a )%%BT1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b + 262144a )%%BT0 - 16384a %%BT0 - 64a b + 192a )%%BT1 +--R + +--R 4 5 2 2 3 2 +--R (- 4096a b - 4096a )%%BT0 + (- 64a b + 192a )%%BT0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R + +--R +-------------------+ +---------------------+ +--R 4+-+3 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ +--R 2\|a \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a +--R * +--R +-------------+ +-------------------+ +--R |4+-+ 4+---+ | 4+---+4+-+ +-+ +------+ +--R \|\|a + \|- b \|%i\|- b \|a + \|a \|4%%BT1 +--R * +--R log +--R 7 8 5 6 2 +--R ((2097152a b + 2097152a )%%BT0 - 32768a b - 32768a )%%BT1 +--R + +--R 7 8 2 6 3 +--R (2097152a b + 2097152a )%%BT0 - 131072a %%BT0 - 512a b +--R + +--R 4 +--R 1536a +--R * +--R %%BT1 +--R + +--R 7 8 3 6 2 4 +--R (2097152a b + 2097152a )%%BT0 - 131072a %%BT0 + 3072a %%BT0 +--R + +--R 2 +--R - 8a b - 24a +--R * +--R +------+ +--R \|4%%BT1 +--R + +--R 6 7 4 5 2 +--R ((- 524288a b - 524288a )%%BT0 + 8192a b + 8192a )%%BT1 +--R + +--R 6 7 2 5 2 3 +--R ((- 524288a b - 524288a )%%BT0 + 32768a %%BT0 + 128a b - 384a ) +--R * +--R %%BT1 +--R + +--R 6 7 3 5 2 3 +--R (- 524288a b - 524288a )%%BT0 + 32768a %%BT0 - 768a %%BT0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 6a +--R + +--R - +--R +-------------------+ +---------------------+ +--R 4+-+3 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ +--R 2\|a \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a +--R * +--R +-------------+ +-------------------+ +--R |4+-+ 4+---+ | 4+---+4+-+ +-+ +------+ +--R \|\|a + \|- b \|%i\|- b \|a + \|a \|4%%BT1 +--R * +--R log +--R 7 8 5 6 +--R ((- 2097152a b - 2097152a )%%BT0 + 32768a b + 32768a ) +--R * +--R 2 +--R %%BT1 +--R + +--R 7 8 2 6 +--R (- 2097152a b - 2097152a )%%BT0 + 131072a %%BT0 +--R + +--R 3 4 +--R 512a b - 1536a +--R * +--R %%BT1 +--R + +--R 7 8 3 6 2 +--R (- 2097152a b - 2097152a )%%BT0 + 131072a %%BT0 +--R + +--R 4 2 +--R - 3072a %%BT0 + 8a b + 24a +--R * +--R +------+ +--R \|4%%BT1 +--R + +--R 6 7 4 5 2 +--R ((- 524288a b - 524288a )%%BT0 + 8192a b + 8192a )%%BT1 +--R + +--R 6 7 2 5 2 +--R (- 524288a b - 524288a )%%BT0 + 32768a %%BT0 + 128a b +--R + +--R 3 +--R - 384a +--R * +--R %%BT1 +--R + +--R 6 7 3 5 2 3 +--R (- 524288a b - 524288a )%%BT0 + 32768a %%BT0 - 768a %%BT0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 6a +--R + +--R - +--R +-------------------+ +---------------------+ +--R 4+-+3 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ +--R 2\|a \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a +--R * +--R +-------------+ +-------------------+ +--R |4+-+ 4+---+ | 4+---+4+-+ +-+ +------+ +--R \|\|a + \|- b \|%i\|- b \|a + \|a \|4%%BT0 +--R * +--R log +--R 7 8 3 5 6 2 +--R (2097152a b + 2097152a )%%BT0 + (32768a b - 98304a )%%BT0 +--R + +--R 3 4 2 +--R (512a b + 1536a )%%BT0 + 8a b - 8a +--R * +--R +------+ +--R \|4%%BT0 +--R + +--R 6 7 3 4 5 2 +--R (524288a b + 524288a )%%BT0 + (8192a b - 24576a )%%BT0 +--R + +--R 2 3 2 +--R (128a b + 384a )%%BT0 + b sinh(x) + 2b cosh(x)sinh(x) +--R + +--R 2 +--R b cosh(x) + b - 2a +--R + +--R +-------------------+ +---------------------+ +--R 4+-+3 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ +--R 2\|a \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a +--R * +--R +-------------+ +-------------------+ +--R |4+-+ 4+---+ | 4+---+4+-+ +-+ +------+ +--R \|\|a + \|- b \|%i\|- b \|a + \|a \|4%%BT0 +--R * +--R log +--R 7 8 3 +--R (- 2097152a b - 2097152a )%%BT0 +--R + +--R 5 6 2 3 4 +--R (- 32768a b + 98304a )%%BT0 + (- 512a b - 1536a )%%BT0 - 8a b +--R + +--R 2 +--R 8a +--R * +--R +------+ +--R \|4%%BT0 +--R + +--R 6 7 3 4 5 2 +--R (524288a b + 524288a )%%BT0 + (8192a b - 24576a )%%BT0 +--R + +--R 2 3 2 +--R (128a b + 384a )%%BT0 + b sinh(x) + 2b cosh(x)sinh(x) +--R + +--R 2 +--R b cosh(x) + b - 2a +--R + +--R - +--R +---------------------+ +-------------+ +-------------------+ +--R 8+-+7 | 4+---+4+-+ +-+ |4+-+ 4+---+ | 4+---+4+-+ +-+ +--R \|a \|- %i\|- b \|a + \|a \|\|a + \|- b \|%i\|- b \|a + \|a +--R * +--R 4+-+ +--R tanh(x)\|a +--R atanh(----------------------) +--R +-------------------+ +--R | 4+---+4+-+ +-+ +--R \|- \|- b \|a + \|a +--R + +--R - +--R +-------------------+ +-------------+ +-------------------+ +--R 8+-+7 | 4+---+4+-+ +-+ |4+-+ 4+---+ | 4+---+4+-+ +-+ +--R \|a \|- \|- b \|a + \|a \|\|a + \|- b \|%i\|- b \|a + \|a +--R * +--R 4+-+ +--R tanh(x)\|a +--R atanh(------------------------) +--R +---------------------+ +--R | 4+---+4+-+ +-+ +--R \|- %i\|- b \|a + \|a +--R + +--R - +--R +-------------------+ +---------------------+ +--R 4+-+3 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ +--R \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a +--R * +--R +-------------------+ 8+-+ +--R | 4+---+4+-+ +-+ tanh(x)\|a +--R \|%i\|- b \|a + \|a atanh(----------------) +--R +-------------+ +--R |4+-+ 4+---+ +--R \|\|a + \|- b +--R + +--R - +--R +-------------------+ +---------------------+ +-------------+ +--R 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ |4+-+ 4+---+ +--R \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a \|\|a + \|- b +--R * +--R 4+-+ +--R tanh(x)\|a +--R atanh(----------------------) +--R +-------------------+ +--R | 4+---+4+-+ +-+ +--R \|%i\|- b \|a + \|a +--R / +--R +-------------------+ +---------------------+ +-------------+ +--R 4+-+3 8+-+7 | 4+---+4+-+ +-+ | 4+---+4+-+ +-+ |4+-+ 4+---+ +--R 4\|a \|a \|- \|- b \|a + \|a \|- %i\|- b \|a + \|a \|\|a + \|- b +--R * +--R +-------------------+ +--R | 4+---+4+-+ +-+ +--R \|%i\|- b \|a + \|a +--R Type: Expression Complex Integer +--E 59 + +--S 60 of 500 +--d0211:= D(m0211,x) +--E 60 + +--S 61 of 500 +t0212:= 1/(a-b*cosh(x)^3) +--R +--R +--R 1 +--R (35) - -------------- +--R 3 +--R b cosh(x) - a +--R Type: Expression Integer +--E 61 + +--S 62 of 500 +r0212:= 2/3*atanh((a^(1/3)+b^(1/3))*tanh(1/2*x)/(a^(2/3)-b^(2/3))^(1/2))/_ + a^(2/3)/(a^(2/3)-b^(2/3))^(1/2)+2/3*atanh((a^(1/3)+_ + (-1)^(2/3)*b^(1/3))*tanh(1/2*x)/(a^(2/3)+_ + (-1)^(1/3)*b^(2/3))^(1/2))/a^(2/3)/(a^(2/3)+_ + (-1)^(1/3)*b^(2/3))^(1/2)+2/3*atanh((a^(1/3)-_ + (-1)^(1/3)*b^(1/3))*tanh(1/2*x)/(a^(2/3)-_ + (-1)^(2/3)*b^(2/3))^(1/2))/a^(2/3)/(a^(2/3)-_ + (-1)^(2/3)*b^(2/3))^(1/2) +--R +--R +--R (36) +--R - +--R +---------------+ +-------------------+ +--R | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 2\|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 3+---+ x 3+-+ x 3+-+ +--R \|- 1 tanh(-)\|b - tanh(-)\|a +--R 2 2 +--R atanh(-------------------------------) +--R +----------------------+ +--R | 3+---+2 3+-+2 3+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R +----------------------+ +-------------------+ +--R | 3+---+2 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 2\|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R * +--R x 3+-+ x 3+-+ +--R tanh(-)\|b + tanh(-)\|a +--R 2 2 +--R atanh(-------------------------) +--R +---------------+ +--R | 3+-+2 3+-+2 +--R \|- \|b + \|a +--R + +--R +----------------------+ +---------------+ +--R | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R 3+---+2 x 3+-+ x 3+-+ +--R \|- 1 tanh(-)\|b + tanh(-)\|a +--R 2 2 +--R atanh(--------------------------------) +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R / +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 62 + +--S 63 of 500 +a0212:= integrate(t0212,x) +--R +--R +--R (37) +--R - +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b - 486a )%%BU0 - 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b - 486a )%%BU0 + (27a b + 135a )%%BU0 - 9a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (162a b - 162a )%%BU0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BU0 + 54a %%BU0 + 4b sinh(x) + 4b cosh(x) +--R + +--R - 4a +--R + +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b - 486a )%%BU0 - 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b + 486a )%%BU0 + (- 27a b - 135a )%%BU0 + 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (- 162a b + 162a )%%BU0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BU0 + 54a %%BU0 + 4b sinh(x) + 4b cosh(x) - 4a +--R + +--R - +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b + 486a )%%BU0 + 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b - 486a )%%BU0 + (27a b + 135a )%%BU0 - 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (- 162a b + 162a )%%BU0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BU0 + 54a %%BU0 + 4b sinh(x) + 4b cosh(x) +--R + +--R - 4a +--R + +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b + 486a )%%BU0 + 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b + 486a )%%BU0 + (- 27a b - 135a )%%BU0 + 9a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (162a b - 162a )%%BU0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BU0 + 54a %%BU0 + 4b sinh(x) + 4b cosh(x) - 4a +--R + +--R +------+ +--R \|4%%BU0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +------+ +--R ((486a b - 486a )%%BU0 + (27a b + 135a )%%BU0 - 9a )\|4%%BU0 +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BU0 - 54a %%BU0 + 2b sinh(x) + 2b cosh(x) + 4a +--R + +--R - +--R +------+ +--R \|4%%BU0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +--R ((- 486a b + 486a )%%BU0 + (- 27a b - 135a )%%BU0 + 9a ) +--R * +--R +------+ +--R \|4%%BU0 +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BU0 - 54a %%BU0 + 2b sinh(x) + 2b cosh(x) +--R + +--R 4a +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 63 + +--S 64 of 500 +m0212:= a0212-r0212 +--R +--R +--R (38) +--R - +--R +----------------------+ +---------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b - 486a )%%BU0 - 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b - 486a )%%BU0 + (27a b + 135a )%%BU0 - 9a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (162a b - 162a )%%BU0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BU0 + 54a %%BU0 + 4b sinh(x) + 4b cosh(x) +--R + +--R - 4a +--R + +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((486a b - 486a )%%BU0 - 27a b + 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b + 486a )%%BU0 + (- 27a b - 135a )%%BU0 + 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (- 162a b + 162a )%%BU0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BU0 + 54a %%BU0 + 4b sinh(x) + 4b cosh(x) - 4a +--R + +--R - +--R +----------------------+ +---------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b + 486a )%%BU0 + 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (486a b - 486a )%%BU0 + (27a b + 135a )%%BU0 - 9a +--R * +--R ROOT +--R 2 2 +--R (- 6b + 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (- 162a b + 162a )%%BU0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BU0 + 54a %%BU0 + 4b sinh(x) + 4b cosh(x) +--R + +--R - 4a +--R + +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R * +--R log +--R 4 2 6 2 2 4 +--R ((- 486a b + 486a )%%BU0 + 27a b - 27a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 4 2 6 2 2 2 4 2 +--R (- 486a b + 486a )%%BU0 + (- 27a b - 135a )%%BU0 + 9a +--R * +--R ROOT +--R 2 2 +--R (6b - 6a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 2 2 +--R (- 6b + 6a )%%BU0 - 2 +--R / +--R 2 2 +--R 3b - 3a +--R + +--R 3 2 5 +--R (162a b - 162a )%%BU0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 81a b + 162a b - 81a )%%BU0 +--R + +--R 2 2 4 2 2 +--R (- 18a b + 18a )%%BU0 + 4b - a +--R / +--R 2 4 4 2 6 +--R 27a b - 54a b + 27a +--R + +--R 3 2 5 2 3 +--R (162a b - 162a )%%BU0 + 54a %%BU0 + 4b sinh(x) + 4b cosh(x) - 4a +--R + +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R +------+ +--R \|4%%BU0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +------+ +--R ((486a b - 486a )%%BU0 + (27a b + 135a )%%BU0 - 9a )\|4%%BU0 +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BU0 - 54a %%BU0 + 2b sinh(x) + 2b cosh(x) + 4a +--R + +--R - +--R +----------------------+ +---------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +------+ +--R \|\|- 1 \|b + \|a \|4%%BU0 +--R * +--R log +--R 4 2 6 2 2 2 4 2 +--R ((- 486a b + 486a )%%BU0 + (- 27a b - 135a )%%BU0 + 9a ) +--R * +--R +------+ +--R \|4%%BU0 +--R + +--R 3 2 5 2 3 +--R (- 162a b + 162a )%%BU0 - 54a %%BU0 + 2b sinh(x) + 2b cosh(x) +--R + +--R 4a +--R + +--R +---------------+ +-------------------+ +--R | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 4\|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 3+---+ x 3+-+ x 3+-+ +--R \|- 1 tanh(-)\|b - tanh(-)\|a +--R 2 2 +--R atanh(-------------------------------) +--R +----------------------+ +--R | 3+---+2 3+-+2 3+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R - +--R +----------------------+ +-------------------+ +--R | 3+---+2 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 4\|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R * +--R x 3+-+ x 3+-+ +--R tanh(-)\|b + tanh(-)\|a +--R 2 2 +--R atanh(-------------------------) +--R +---------------+ +--R | 3+-+2 3+-+2 +--R \|- \|b + \|a +--R + +--R - +--R +----------------------+ +---------------+ +--R | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 +--R 4\|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R 3+---+2 x 3+-+ x 3+-+ +--R \|- 1 tanh(-)\|b + tanh(-)\|a +--R 2 2 +--R atanh(--------------------------------) +--R +-------------------+ +--R |3+---+3+-+2 3+-+2 +--R \|\|- 1 \|b + \|a +--R / +--R +----------------------+ +---------------+ +-------------------+ +--R 3+-+2 | 3+---+2 3+-+2 3+-+2 | 3+-+2 3+-+2 |3+---+3+-+2 3+-+2 +--R 6\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 64 + +--S 65 of 500 +--d0212:= D(m0212,x) +--E 65 + +--S 66 of 500 +t0213:= 1/(a-b*cosh(x)^4) +--R +--R +--R 1 +--R (39) - -------------- +--R 4 +--R b cosh(x) - a +--R Type: Expression Integer +--E 66 + +--S 67 of 500 +r0213:= 1/2*atanh(a^(1/4)*tanh(x)/(a^(1/2)-b^(1/2))^(1/2))/a^(3/4)/_ + (a^(1/2)-b^(1/2))^(1/2)+1/2*atanh(a^(1/4)*tanh(x)/_ + (a^(1/2)+b^(1/2))^(1/2))/a^(3/4)/(a^(1/2)+b^(1/2))^(1/2) +--R +--R +--R (40) +--R +-----------+ 4+-+ +-------------+ 4+-+ +--R | +-+ +-+ tanh(x)\|a | +-+ +-+ tanh(x)\|a +--R \|\|b + \|a atanh(----------------) + \|- \|b + \|a atanh(--------------) +--R +-------------+ +-----------+ +--R | +-+ +-+ | +-+ +-+ +--R \|- \|b + \|a \|\|b + \|a +--R ----------------------------------------------------------------------------- +--R +-------------+ +-----------+ +--R 4+-+3 | +-+ +-+ | +-+ +-+ +--R 2\|a \|- \|b + \|a \|\|b + \|a +--R Type: Expression Integer +--E 67 + +--S 68 of 500 +a0213:= integrate(t0213,x) +--R +--R +--R (41) +--R - +--R +-----------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(8a b - 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |----------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R * +--R log +--R +----------------------+ +--R 3 4 | b +--R ((32a b - 32a ) |---------------------- + 4a b) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R * +--R +-----------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(8a b - 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |----------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R + +--R +----------------------+ +--R 2 3 | b 2 +--R (16a b - 16a ) |---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R +-------------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(- 8a b + 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R * +--R log +--R +----------------------+ +--R 3 4 | b +--R ((32a b - 32a ) |---------------------- - 4a b) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R * +--R +-------------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(- 8a b + 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R + +--R +----------------------+ +--R 2 3 | b 2 +--R (- 16a b + 16a ) |---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R - +--R +-------------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(- 8a b + 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R * +--R log +--R +----------------------+ +--R 3 4 | b +--R ((- 32a b + 32a ) |---------------------- + 4a b) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R * +--R +-------------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(- 8a b + 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R + +--R +----------------------+ +--R 2 3 | b 2 +--R (- 16a b + 16a ) |---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R +-----------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(8a b - 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |----------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R * +--R log +--R +----------------------+ +--R 3 4 | b +--R ((- 32a b + 32a ) |---------------------- - 4a b) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R * +--R +-----------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(8a b - 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |----------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R + +--R +----------------------+ +--R 2 3 | b 2 +--R (16a b - 16a ) |---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 68 + +--S 69 of 500 +m0213:= a0213-r0213 +--R +--R +--R (42) +--R - +--R +-----------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(8a b - 8a ) |---------------------- - 1 +--R +-------------+ | | 3 2 4 5 +--R 4+-+3 | +-+ +-+ | \|64a b - 128a b + 64a +--R \|a \|- \|b + \|a |----------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R * +--R +-----------+ +--R | +-+ +-+ +--R \|\|b + \|a +--R * +--R log +--R +----------------------+ +--R 3 4 | b +--R ((32a b - 32a ) |---------------------- + 4a b) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R * +--R +-----------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(8a b - 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |----------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R + +--R +----------------------+ +--R 2 3 | b 2 +--R (16a b - 16a ) |---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R +-------------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(- 8a b + 8a ) |---------------------- - 1 +--R +-------------+ | | 3 2 4 5 +--R 4+-+3 | +-+ +-+ | \|64a b - 128a b + 64a +--R \|a \|- \|b + \|a |------------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R * +--R +-----------+ +--R | +-+ +-+ +--R \|\|b + \|a +--R * +--R log +--R +----------------------+ +--R 3 4 | b +--R ((32a b - 32a ) |---------------------- - 4a b) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R * +--R +-------------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(- 8a b + 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R + +--R +----------------------+ +--R 2 3 | b 2 +--R (- 16a b + 16a ) |---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R - +--R +-------------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(- 8a b + 8a ) |---------------------- - 1 +--R +-------------+ | | 3 2 4 5 +--R 4+-+3 | +-+ +-+ | \|64a b - 128a b + 64a +--R \|a \|- \|b + \|a |------------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R * +--R +-----------+ +--R | +-+ +-+ +--R \|\|b + \|a +--R * +--R log +--R +----------------------+ +--R 3 4 | b +--R ((- 32a b + 32a ) |---------------------- + 4a b) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R * +--R +-------------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(- 8a b + 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |------------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R + +--R +----------------------+ +--R 2 3 | b 2 +--R (- 16a b + 16a ) |---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R +-----------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(8a b - 8a ) |---------------------- - 1 +--R +-------------+ | | 3 2 4 5 +--R 4+-+3 | +-+ +-+ | \|64a b - 128a b + 64a +--R \|a \|- \|b + \|a |----------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R * +--R +-----------+ +--R | +-+ +-+ +--R \|\|b + \|a +--R * +--R log +--R +----------------------+ +--R 3 4 | b +--R ((- 32a b + 32a ) |---------------------- - 4a b) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R * +--R +-----------------------------------------+ +--R | +----------------------+ +--R | 2 | b +--R |(8a b - 8a ) |---------------------- - 1 +--R | | 3 2 4 5 +--R | \|64a b - 128a b + 64a +--R |----------------------------------------- +--R | 2 +--R \| 4a b - 4a +--R + +--R +----------------------+ +--R 2 3 | b 2 +--R (16a b - 16a ) |---------------------- + b sinh(x) +--R | 3 2 4 5 +--R \|64a b - 128a b + 64a +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b +--R + +--R +-----------+ 4+-+ +--R | +-+ +-+ tanh(x)\|a +--R - \|\|b + \|a atanh(----------------) +--R +-------------+ +--R | +-+ +-+ +--R \|- \|b + \|a +--R + +--R +-------------+ 4+-+ +--R | +-+ +-+ tanh(x)\|a +--R - \|- \|b + \|a atanh(--------------) +--R +-----------+ +--R | +-+ +-+ +--R \|\|b + \|a +--R / +--R +-------------+ +-----------+ +--R 4+-+3 | +-+ +-+ | +-+ +-+ +--R 2\|a \|- \|b + \|a \|\|b + \|a +--R Type: Expression Integer +--E 69 + +--S 70 of 500 +d0213:= D(m0213,x) +--R +--R +--R (43) +--R 8 7 2 6 +--R - b sinh(x) - 8b cosh(x)sinh(x) + (- 28b cosh(x) - 4b)sinh(x) +--R + +--R 3 5 +--R (- 56b cosh(x) - 24b cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 70b cosh(x) - 60b cosh(x) - 6b)sinh(x) +--R + +--R 5 3 3 +--R (- 56b cosh(x) - 80b cosh(x) - 24b cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 28b cosh(x) - 60b cosh(x) - 36b cosh(x) - 4b)sinh(x) +--R + +--R 7 5 3 +--R (- 8b cosh(x) - 24b cosh(x) - 24b cosh(x) - 8b cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R - b cosh(x) - 4b cosh(x) - 6b cosh(x) - 4b cosh(x) - b +--R * +--R 4 +--R tanh(x) +--R + +--R 8 7 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) + 4b)sinh(x) +--R + +--R 3 5 +--R (56b cosh(x) + 24b cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (70b cosh(x) + 60b cosh(x) + 6b - 16a)sinh(x) +--R + +--R 5 3 3 +--R (56b cosh(x) + 80b cosh(x) + (24b - 64a)cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (28b cosh(x) + 60b cosh(x) + (36b - 96a)cosh(x) + 4b)sinh(x) +--R + +--R 7 5 3 +--R (8b cosh(x) + 24b cosh(x) + (24b - 64a)cosh(x) + 8b cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R b cosh(x) + 4b cosh(x) + (6b - 16a)cosh(x) + 4b cosh(x) + b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R (16b - 16a)sinh(x) + (64b - 64a)cosh(x)sinh(x) +--R + +--R 2 2 3 +--R (96b - 96a)cosh(x) sinh(x) + (64b - 64a)cosh(x) sinh(x) +--R + +--R 4 +--R (16b - 16a)cosh(x) +--R * +--R 4+-+2 +--R \|a +--R + +--R 8 7 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) + 4b)sinh(x) +--R + +--R 3 5 +--R (56b cosh(x) + 24b cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (70b cosh(x) + 60b cosh(x) + 6b + 16a)sinh(x) +--R + +--R 5 3 3 +--R (56b cosh(x) + 80b cosh(x) + (24b + 64a)cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (28b cosh(x) + 60b cosh(x) + (36b + 96a)cosh(x) + 4b)sinh(x) +--R + +--R 7 5 3 +--R (8b cosh(x) + 24b cosh(x) + (24b + 64a)cosh(x) + 8b cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R b cosh(x) + 4b cosh(x) + (6b + 16a)cosh(x) + 4b cosh(x) + b +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 2 6 +--R - b sinh(x) - 8b cosh(x)sinh(x) + (- 28b cosh(x) - 4b)sinh(x) +--R + +--R 3 5 +--R (- 56b cosh(x) - 24b cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 70b cosh(x) - 60b cosh(x) - 6b + 16a)sinh(x) +--R + +--R 5 3 3 +--R (- 56b cosh(x) - 80b cosh(x) + (- 24b + 64a)cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (- 28b cosh(x) - 60b cosh(x) + (- 36b + 96a)cosh(x) - 4b)sinh(x) +--R + +--R 7 5 3 +--R (- 8b cosh(x) - 24b cosh(x) + (- 24b + 64a)cosh(x) - 8b cosh(x)) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R - b cosh(x) - 4b cosh(x) + (- 6b + 16a)cosh(x) - 4b cosh(x) - b +--R * +--R +-+ +--R \|a +--R / +--R 8 7 +--R a b sinh(x) + 8a b cosh(x)sinh(x) +--R + +--R 2 6 +--R (28a b cosh(x) + 4a b)sinh(x) +--R + +--R 3 5 +--R (56a b cosh(x) + 24a b cosh(x))sinh(x) +--R + +--R 4 2 2 4 +--R (70a b cosh(x) + 60a b cosh(x) + 6a b - 16a )sinh(x) +--R + +--R 5 3 2 3 +--R (56a b cosh(x) + 80a b cosh(x) + (24a b - 64a )cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R 28a b cosh(x) + 60a b cosh(x) + (36a b - 96a )cosh(x) +--R + +--R 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 5 2 3 +--R 8a b cosh(x) + 24a b cosh(x) + (24a b - 64a )cosh(x) +--R + +--R 8a b cosh(x) +--R * +--R sinh(x) +--R + +--R 8 6 2 4 +--R a b cosh(x) + 4a b cosh(x) + (6a b - 16a )cosh(x) +--R + +--R 2 +--R 4a b cosh(x) + a b +--R * +--R 4 +--R tanh(x) +--R + +--R 2 8 2 7 +--R (- b + a b)sinh(x) + (- 8b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R ((- 28b + 28a b)cosh(x) - 4b + 4a b)sinh(x) +--R + +--R 2 3 2 5 +--R ((- 56b + 56a b)cosh(x) + (- 24b + 24a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R (- 70b + 70a b)cosh(x) + (- 60b + 60a b)cosh(x) - 6b + 22a b +--R + +--R 2 +--R - 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 3 +--R (- 56b + 56a b)cosh(x) + (- 80b + 80a b)cosh(x) +--R + +--R 2 2 +--R (- 24b + 88a b - 64a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 +--R (- 28b + 28a b)cosh(x) + (- 60b + 60a b)cosh(x) +--R + +--R 2 2 2 2 +--R (- 36b + 132a b - 96a )cosh(x) - 4b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 +--R (- 8b + 8a b)cosh(x) + (- 24b + 24a b)cosh(x) +--R + +--R 2 2 3 2 +--R (- 24b + 88a b - 64a )cosh(x) + (- 8b + 8a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 +--R (- b + a b)cosh(x) + (- 4b + 4a b)cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (- 6b + 22a b - 16a )cosh(x) + (- 4b + 4a b)cosh(x) - b + a b +--R * +--R 4+-+2 +--R \|a +--R + +--R 8 7 +--R - 2a b sinh(x) - 16a b cosh(x)sinh(x) +--R + +--R 2 6 +--R (- 56a b cosh(x) - 8a b)sinh(x) +--R + +--R 3 5 +--R (- 112a b cosh(x) - 48a b cosh(x))sinh(x) +--R + +--R 4 2 2 4 +--R (- 140a b cosh(x) - 120a b cosh(x) - 12a b + 32a )sinh(x) +--R + +--R 5 3 2 +--R (- 112a b cosh(x) - 160a b cosh(x) + (- 48a b + 128a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 4 2 2 +--R - 56a b cosh(x) - 120a b cosh(x) + (- 72a b + 192a )cosh(x) +--R + +--R - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 5 2 3 +--R - 16a b cosh(x) - 48a b cosh(x) + (- 48a b + 128a )cosh(x) +--R + +--R - 16a b cosh(x) +--R * +--R sinh(x) +--R + +--R 8 6 2 4 +--R - 2a b cosh(x) - 8a b cosh(x) + (- 12a b + 32a )cosh(x) +--R + +--R 2 +--R - 8a b cosh(x) - 2a b +--R * +--R 2 +-+ +--R tanh(x) \|a +--R Type: Expression Integer +--E 70 + +--S 71 of 500 +t0214:= 1/(a-b*cosh(x)^5) +--R +--R +--R 1 +--R (44) - -------------- +--R 5 +--R b cosh(x) - a +--R Type: Expression Integer +--E 71 + +--S 72 of 500 +r0214:= 2/5*atanh((a^(1/5)+b^(1/5))*tanh(1/2*x)/(a^(2/5)-b^(2/5))^(1/2))/_ + a^(4/5)/(a^(2/5)-b^(2/5))^(1/2)+2/5*atanh((a^(1/5)-_ + (-1)^(3/5)*b^(1/5))*tanh(1/2*x)/(a^(2/5)+_ + (-1)^(1/5)*b^(2/5))^(1/2))/a^(4/5)/(a^(2/5)+_ + (-1)^(1/5)*b^(2/5))^(1/2)+2/5*atanh((a^(1/5)-_ + (-1)^(1/5)*b^(1/5))*tanh(1/2*x)/(a^(2/5)-_ + (-1)^(2/5)*b^(2/5))^(1/2))/a^(4/5)/(a^(2/5)-_ + (-1)^(2/5)*b^(2/5))^(1/2)+2/5*atanh((a^(1/5)+_ + (-1)^(4/5)*b^(1/5))*tanh(1/2*x)/(a^(2/5)+_ + (-1)^(3/5)*b^(2/5))^(1/2))/a^(4/5)/(a^(2/5)+_ + (-1)^(3/5)*b^(2/5))^(1/2)+2/5*atanh((a^(1/5)+_ + (-1)^(2/5)*b^(1/5))*tanh(1/2*x)/(a^(2/5)-_ + (-1)^(4/5)*b^(2/5))^(1/2))/a^(4/5)/(a^(2/5)-(-1)^(4/5)*b^(2/5))^(1/2) +--R +--R +--R (45) +--R +----------------------+ +---------------+ +-------------------+ +--R | 5+---+2 5+-+2 5+-+2 | 5+-+2 5+-+2 |5+---+5+-+2 5+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 5+---+2 x 5+-+ x 5+-+ +--R +--------------------+ \|- 1 tanh(-)\|b + tanh(-)\|a +--R |5+---+3 5+-+2 5+-+2 2 2 +--R \|\|- 1 \|b + \|a atanh(--------------------------------) +--R +----------------------+ +--R | 5+---+4 5+-+2 5+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R - +--R +----------------------+ +---------------+ +-------------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+-+2 5+-+2 |5+---+5+-+2 5+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 5+---+ x 5+-+ x 5+-+ +--R +--------------------+ \|- 1 tanh(-)\|b - tanh(-)\|a +--R |5+---+3 5+-+2 5+-+2 2 2 +--R \|\|- 1 \|b + \|a atanh(-------------------------------) +--R +----------------------+ +--R | 5+---+2 5+-+2 5+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R +----------------------+ +----------------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a +--R * +--R +-------------------+ +--------------------+ +--R |5+---+5+-+2 5+-+2 |5+---+3 5+-+2 5+-+2 +--R \|\|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R * +--R x 5+-+ x 5+-+ +--R tanh(-)\|b + tanh(-)\|a +--R 2 2 +--R atanh(-------------------------) +--R +---------------+ +--R | 5+-+2 5+-+2 +--R \|- \|b + \|a +--R + +--R - +--R +----------------------+ +----------------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a +--R * +--R +---------------+ +--------------------+ +--R | 5+-+2 5+-+2 |5+---+3 5+-+2 5+-+2 +--R \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 5+---+3 x 5+-+ x 5+-+ +--R \|- 1 tanh(-)\|b - tanh(-)\|a +--R 2 2 +--R atanh(--------------------------------) +--R +-------------------+ +--R |5+---+5+-+2 5+-+2 +--R \|\|- 1 \|b + \|a +--R + +--R +----------------------+ +----------------------+ +---------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 | 5+-+2 5+-+2 +--R 2\|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R 5+---+4 x 5+-+ x 5+-+ +--R +-------------------+ \|- 1 tanh(-)\|b + tanh(-)\|a +--R |5+---+5+-+2 5+-+2 2 2 +--R \|\|- 1 \|b + \|a atanh(--------------------------------) +--R +--------------------+ +--R |5+---+3 5+-+2 5+-+2 +--R \|\|- 1 \|b + \|a +--R / +--R +----------------------+ +----------------------+ +--R 5+-+4 | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 +--R 5\|a \|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a +--R * +--R +---------------+ +-------------------+ +--------------------+ +--R | 5+-+2 5+-+2 |5+---+5+-+2 5+-+2 |5+---+3 5+-+2 5+-+2 +--R \|- \|b + \|a \|\|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 72 + +--S 73 of 500 +a0214:= integrate(t0214,x) +--R +--R +--R (46) +--R ROOT +--R 2 2 +--R (10b - 10a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW2 +--R + +--R 2 4 4 2 6 +--R (- 250a b + 500a b - 250a )%%BW1 +--R + +--R 2 4 4 2 6 2 2 4 +--R (- 250a b + 500a b - 250a )%%BW0 - 50a b + 50a +--R * +--R %%BW2 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW1 +--R + +--R 2 4 4 2 6 2 2 4 +--R ((- 250a b + 500a b - 250a )%%BW0 - 50a b + 50a ) +--R * +--R %%BW1 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW0 +--R + +--R 2 2 4 2 2 +--R (- 50a b + 50a )%%BW0 + 8b - 3a +--R / +--R 2 4 4 2 6 +--R 125a b - 250a b + 125a +--R + +--R 2 2 2 2 +--R (- 10b + 10a )%%BW2 + (- 10b + 10a )%%BW1 +--R + +--R 2 2 +--R (- 10b + 10a )%%BW0 - 2 +--R / +--R 2 2 +--R 5b - 5a +--R * +--R log +--R 8 2 10 6 2 +--R (11718750a b - 11718750a )%%BW0 - 234375a b +--R + +--R 8 +--R 234375a +--R * +--R %%BW1 +--R + +--R 6 2 8 4 2 6 +--R (- 234375a b + 234375a )%%BW0 + 3125a b - 3125a +--R * +--R %%BW2 +--R + +--R 6 2 8 4 2 6 +--R ((- 234375a b + 234375a )%%BW0 + 3125a b - 3125a )%%BW1 +--R + +--R 4 2 6 +--R (3125a b - 3125a )%%BW0 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW2 +--R + +--R 2 4 4 2 6 +--R (- 250a b + 500a b - 250a )%%BW1 +--R + +--R 2 4 4 2 6 2 2 4 +--R (- 250a b + 500a b - 250a )%%BW0 - 50a b + 50a +--R * +--R %%BW2 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW1 +--R + +--R 2 4 4 2 6 2 2 +--R (- 250a b + 500a b - 250a )%%BW0 - 50a b +--R + +--R 4 +--R 50a +--R * +--R %%BW1 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW0 +--R + +--R 2 2 4 2 2 +--R (- 50a b + 50a )%%BW0 + 8b - 3a +--R / +--R 2 4 4 2 6 +--R 125a b - 250a b + 125a +--R + +--R 8 2 10 6 2 +--R (11718750a b - 11718750a )%%BW0 - 234375a b +--R + +--R 8 +--R 234375a +--R * +--R %%BW1 +--R + +--R 6 2 8 4 2 6 +--R (- 234375a b + 234375a )%%BW0 + 3125a b - 3125a +--R * +--R 2 +--R %%BW2 +--R + +--R 8 2 10 6 2 +--R (11718750a b - 11718750a )%%BW0 - 234375a b +--R + +--R 8 +--R 234375a +--R * +--R 2 +--R %%BW1 +--R + +--R 8 2 10 2 +--R (11718750a b - 11718750a )%%BW0 +--R + +--R 6 2 8 6 +--R (- 234375a b + 2578125a )%%BW0 - 46875a +--R * +--R %%BW1 +--R + +--R 6 2 8 2 6 4 +--R (- 234375a b + 234375a )%%BW0 - 46875a %%BW0 + 625a +--R * +--R %%BW2 +--R + +--R 6 2 8 4 2 6 2 +--R ((- 234375a b + 234375a )%%BW0 + 3125a b - 3125a )%%BW1 +--R + +--R 6 2 8 2 6 4 +--R ((- 234375a b + 234375a )%%BW0 - 46875a %%BW0 + 625a )%%BW1 +--R + +--R 4 2 6 2 4 +--R (3125a b - 3125a )%%BW0 + 625a %%BW0 +--R * +--R ROOT +--R 2 2 +--R (10b - 10a ) +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW2 +--R + +--R 2 4 4 2 6 +--R (- 250a b + 500a b - 250a )%%BW1 +--R + +--R 2 4 4 2 6 2 2 +--R (- 250a b + 500a b - 250a )%%BW0 - 50a b +--R + +--R 4 +--R 50a +--R * +--R %%BW2 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW1 +--R + +--R 2 4 4 2 6 2 2 +--R (- 250a b + 500a b - 250a )%%BW0 - 50a b +--R + +--R 4 +--R 50a +--R * +--R %%BW1 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW0 +--R + +--R 2 2 4 2 2 +--R (- 50a b + 50a )%%BW0 + 8b - 3a +--R / +--R 2 4 4 2 6 +--R 125a b - 250a b + 125a +--R + +--R 2 2 2 2 +--R (- 10b + 10a )%%BW2 + (- 10b + 10a )%%BW1 +--R + +--R 2 2 +--R (- 10b + 10a )%%BW0 - 2 +--R / +--R 2 2 +--R 5b - 5a +--R + +--R 7 2 9 5 2 7 +--R ((- 2343750a b + 2343750a )%%BW0 + 31250a b - 31250a ) +--R * +--R %%BW1 +--R + +--R 5 2 7 +--R (31250a b - 31250a )%%BW0 +--R * +--R %%BW2 +--R + +--R 5 2 7 +--R (31250a b - 31250a )%%BW0 %%BW1 +--R * +--R ROOT +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW2 +--R + +--R 2 4 4 2 6 +--R (- 250a b + 500a b - 250a )%%BW1 +--R + +--R 2 4 4 2 6 2 2 4 +--R (- 250a b + 500a b - 250a )%%BW0 - 50a b + 50a +--R * +--R %%BW2 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW1 +--R + +--R 2 4 4 2 6 2 2 4 +--R ((- 250a b + 500a b - 250a )%%BW0 - 50a b + 50a )%%BW1 +--R + +--R 2 4 4 2 6 2 +--R (- 375a b + 750a b - 375a )%%BW0 +--R + +--R 2 2 4 2 2 +--R (- 50a b + 50a )%%BW0 + 8b - 3a +--R / +--R 2 4 4 2 6 +--R 125a b - 250a b + 125a +--R + +--R 7 2 9 5 2 7 +--R ((- 2343750a b + 2343750a )%%BW0 + 31250a b - 31250a )%%BW1 +--R + +--R 5 2 7 +--R (31250a b - 31250a )%%BW0 +--R * +--R 2 +--R %%BW2 +--R + +--R 7 2 9 5 2 7 2 +--R ((- 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atanh(--------------------------------) +--R +----------------------+ +--R | 5+---+4 5+-+2 5+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R +----------------------+ +---------------+ +-------------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+-+2 5+-+2 |5+---+5+-+2 5+-+2 +--R 4\|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 5+---+ x 5+-+ x 5+-+ +--R +--------------------+ \|- 1 tanh(-)\|b - tanh(-)\|a +--R |5+---+3 5+-+2 5+-+2 2 2 +--R \|\|- 1 \|b + \|a atanh(-------------------------------) +--R +----------------------+ +--R | 5+---+2 5+-+2 5+-+2 +--R \|- \|- 1 \|b + \|a +--R + +--R - +--R +----------------------+ +----------------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 +--R 4\|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a +--R * +--R +-------------------+ +--------------------+ +--R |5+---+5+-+2 5+-+2 |5+---+3 5+-+2 5+-+2 +--R \|\|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R * +--R x 5+-+ x 5+-+ +--R tanh(-)\|b + tanh(-)\|a +--R 2 2 +--R atanh(-------------------------) +--R +---------------+ +--R | 5+-+2 5+-+2 +--R \|- \|b + \|a +--R + +--R +----------------------+ +----------------------+ +---------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 | 5+-+2 5+-+2 +--R 4\|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a \|- \|b + \|a +--R * +--R 5+---+3 x 5+-+ x 5+-+ +--R +--------------------+ \|- 1 tanh(-)\|b - tanh(-)\|a +--R |5+---+3 5+-+2 5+-+2 2 2 +--R \|\|- 1 \|b + \|a atanh(--------------------------------) +--R +-------------------+ +--R |5+---+5+-+2 5+-+2 +--R \|\|- 1 \|b + \|a +--R + +--R - +--R +----------------------+ +----------------------+ +--R | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 +--R 4\|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a +--R * +--R +---------------+ +-------------------+ +--R | 5+-+2 5+-+2 |5+---+5+-+2 5+-+2 +--R \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R 5+---+4 x 5+-+ x 5+-+ +--R \|- 1 tanh(-)\|b + tanh(-)\|a +--R 2 2 +--R atanh(--------------------------------) +--R +--------------------+ +--R |5+---+3 5+-+2 5+-+2 +--R \|\|- 1 \|b + \|a +--R / +--R +----------------------+ +----------------------+ +--R 5+-+4 | 5+---+4 5+-+2 5+-+2 | 5+---+2 5+-+2 5+-+2 +--R 10\|a \|- \|- 1 \|b + \|a \|- \|- 1 \|b + \|a +--R * +--R +---------------+ +-------------------+ +--------------------+ +--R | 5+-+2 5+-+2 |5+---+5+-+2 5+-+2 |5+---+3 5+-+2 5+-+2 +--R \|- \|b + \|a \|\|- 1 \|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 74 + +--S 75 of 500 +--d0214:= D(m0214,x) +--E 75 + +--S 76 of 500 +t0215:= 1/(a-b*cosh(x)^6) +--R +--R +--R 1 +--R (48) - -------------- +--R 6 +--R b cosh(x) - a +--R Type: Expression Integer +--E 76 + +--S 77 of 500 +r0215:= 1/3*atanh(a^(1/6)*tanh(x)/(a^(1/3)-b^(1/3))^(1/2))/a^(5/6)/_ + (a^(1/3)-b^(1/3))^(1/2)+1/3*atanh(a^(1/6)*tanh(x)/(a^(1/3)+_ + (-1)^(1/3)*b^(1/3))^(1/2))/a^(5/6)/(a^(1/3)+_ + (-1)^(1/3)*b^(1/3))^(1/2)+1/3*atanh(a^(1/6)*tanh(x)/(a^(1/3)-_ + (-1)^(2/3)*b^(1/3))^(1/2))/a^(5/6)/(a^(1/3)-(-1)^(2/3)*b^(1/3))^(1/2) +--R +--R +--R (49) +--R +-------------+ +-----------------+ 6+-+ +--R | 3+-+ 3+-+ |3+---+3+-+ 3+-+ tanh(x)\|a +--R \|- \|b + \|a \|\|- 1 \|b + \|a atanh(-----------------------) +--R +--------------------+ +--R | 3+---+2 3+-+ 3+-+ +--R \|- \|- 1 \|b + \|a +--R + +--R +--------------------+ +-----------------+ 6+-+ +--R | 3+---+2 3+-+ 3+-+ |3+---+3+-+ 3+-+ tanh(x)\|a +--R \|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a atanh(----------------) +--R +-------------+ +--R | 3+-+ 3+-+ +--R \|- \|b + \|a +--R + +--R +--------------------+ +-------------+ 6+-+ +--R | 3+---+2 3+-+ 3+-+ | 3+-+ 3+-+ tanh(x)\|a +--R \|- \|- 1 \|b + \|a \|- \|b + \|a atanh(--------------------) +--R +-----------------+ +--R |3+---+3+-+ 3+-+ +--R \|\|- 1 \|b + \|a +--R / +--R +--------------------+ +-------------+ +-----------------+ +--R 6+-+5 | 3+---+2 3+-+ 3+-+ | 3+-+ 3+-+ |3+---+3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 77 + +--S 78 of 500 +a0215:= integrate(t0215,x) +--R +--R +--R (50) +--R ROOT +--R 2 +--R (12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R * +--R log +--R 5 6 3 4 +--R ((3888a b - 3888a )%%BX0 - 108a b + 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 5 6 2 3 4 2 +--R (3888a b - 3888a )%%BX0 + (108a b + 216a )%%BX0 - 6a b - 3a +--R * +--R ROOT +--R 2 +--R (12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R + +--R 4 5 2 3 +--R ((- 1296a b + 1296a )%%BX0 + 36a b - 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b + 1296a )%%BX0 + (- 36a b - 72a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + a +--R + +--R - +--R ROOT +--R 2 +--R (- 12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R * +--R log +--R 5 6 3 4 +--R ((3888a b - 3888a )%%BX0 - 108a b + 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 5 6 2 3 4 +--R (- 3888a b + 3888a )%%BX0 + (- 108a b - 216a )%%BX0 + 6a b +--R + +--R 2 +--R 3a +--R * +--R ROOT +--R 2 +--R (- 12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R + +--R 4 5 2 3 +--R ((1296a b - 1296a )%%BX0 - 36a b + 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b + 1296a )%%BX0 + (- 36a b - 72a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + a +--R + +--R ROOT +--R 2 +--R (- 12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R * +--R log +--R 5 6 3 4 +--R ((- 3888a b + 3888a )%%BX0 + 108a b - 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 5 6 2 3 4 2 +--R (3888a b - 3888a )%%BX0 + (108a b + 216a )%%BX0 - 6a b - 3a +--R * +--R ROOT +--R 2 +--R (- 12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R + +--R 4 5 2 3 +--R ((1296a b - 1296a )%%BX0 - 36a b + 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b + 1296a )%%BX0 + (- 36a b - 72a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + a +--R + +--R - +--R ROOT +--R 2 +--R (12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R * +--R log +--R 5 6 3 4 +--R ((- 3888a b + 3888a )%%BX0 + 108a b - 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 5 6 2 3 4 +--R (- 3888a b + 3888a )%%BX0 + (- 108a b - 216a )%%BX0 + 6a b +--R + +--R 2 +--R 3a +--R * +--R ROOT +--R 2 +--R (12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R + +--R 4 5 2 3 +--R ((- 1296a b + 1296a )%%BX0 + 36a b - 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b + 1296a )%%BX0 + (- 36a b - 72a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + a +--R + +--R - +--R +------+ +--R \|4%%BX0 +--R * +--R log +--R 5 6 2 3 4 +--R (7776a b - 7776a )%%BX0 + (216a b + 432a )%%BX0 + 6a b +--R + +--R 2 +--R - 6a +--R * +--R +------+ +--R \|4%%BX0 +--R + +--R 4 5 2 2 3 2 +--R (2592a b - 2592a )%%BX0 + (72a b + 144a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R + +--R +------+ +--R \|4%%BX0 +--R * +--R log +--R 5 6 2 3 4 +--R (- 7776a b + 7776a )%%BX0 + (- 216a b - 432a )%%BX0 - 6a b +--R + +--R 2 +--R 6a +--R * +--R +------+ +--R \|4%%BX0 +--R + +--R 4 5 2 2 3 2 +--R (2592a b - 2592a )%%BX0 + (72a b + 144a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 78 + +--S 79 of 500 +m0215:= a0215-r0215 +--R +--R +--R (51) +--R +--------------------+ +-------------+ +-----------------+ +--R 6+-+5 | 3+---+2 3+-+ 3+-+ | 3+-+ 3+-+ |3+---+3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 +--R (12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R * +--R log +--R 5 6 3 4 +--R ((3888a b - 3888a )%%BX0 - 108a b + 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 5 6 2 3 4 2 +--R (3888a b - 3888a )%%BX0 + (108a b + 216a )%%BX0 - 6a b - 3a +--R * +--R ROOT +--R 2 +--R (12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R + +--R 4 5 2 3 +--R ((- 1296a b + 1296a )%%BX0 + 36a b - 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b + 1296a )%%BX0 + (- 36a b - 72a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + a +--R + +--R - +--R +--------------------+ +-------------+ +-----------------+ +--R 6+-+5 | 3+---+2 3+-+ 3+-+ | 3+-+ 3+-+ |3+---+3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 +--R (- 12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R * +--R log +--R 5 6 3 4 +--R ((3888a b - 3888a )%%BX0 - 108a b + 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 5 6 2 3 4 +--R (- 3888a b + 3888a )%%BX0 + (- 108a b - 216a )%%BX0 + 6a b +--R + +--R 2 +--R 3a +--R * +--R ROOT +--R 2 +--R (- 12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R + +--R 4 5 2 3 +--R ((1296a b - 1296a )%%BX0 - 36a b + 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b + 1296a )%%BX0 + (- 36a b - 72a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + a +--R + +--R +--------------------+ +-------------+ +-----------------+ +--R 6+-+5 | 3+---+2 3+-+ 3+-+ | 3+-+ 3+-+ |3+---+3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 +--R (- 12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R * +--R log +--R 5 6 3 4 +--R ((- 3888a b + 3888a )%%BX0 + 108a b - 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 5 6 2 3 4 2 +--R (3888a b - 3888a )%%BX0 + (108a b + 216a )%%BX0 - 6a b - 3a +--R * +--R ROOT +--R 2 +--R (- 12a b + 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R + +--R 4 5 2 3 +--R ((1296a b - 1296a )%%BX0 - 36a b + 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b + 1296a )%%BX0 + (- 36a b - 72a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + a +--R + +--R - +--R +--------------------+ +-------------+ +-----------------+ +--R 6+-+5 | 3+---+2 3+-+ 3+-+ | 3+-+ 3+-+ |3+---+3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R ROOT +--R 2 +--R (12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R * +--R log +--R 5 6 3 4 +--R ((- 3888a b + 3888a )%%BX0 + 108a b - 108a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 5 6 2 3 4 +--R (- 3888a b + 3888a )%%BX0 + (- 108a b - 216a )%%BX0 + 6a b +--R + +--R 2 +--R 3a +--R * +--R ROOT +--R 2 +--R (12a b - 12a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 2 +--R (- 12a b + 12a )%%BX0 - 1 +--R / +--R 2 +--R 6a b - 6a +--R + +--R 4 5 2 3 +--R ((- 1296a b + 1296a )%%BX0 + 36a b - 36a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1296a b + 2592a b - 1296a )%%BX0 +--R + +--R 2 3 +--R (- 72a b + 72a )%%BX0 + 4b - a +--R / +--R 3 2 4 5 +--R 432a b - 864a b + 432a +--R + +--R 4 5 2 2 3 2 +--R (- 1296a b + 1296a )%%BX0 + (- 36a b - 72a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + a +--R + +--R - +--R +--------------------+ +-------------+ +-----------------+ +--R 6+-+5 | 3+---+2 3+-+ 3+-+ | 3+-+ 3+-+ |3+---+3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R +------+ +--R \|4%%BX0 +--R * +--R log +--R 5 6 2 3 4 +--R (7776a b - 7776a )%%BX0 + (216a b + 432a )%%BX0 + 6a b +--R + +--R 2 +--R - 6a +--R * +--R +------+ +--R \|4%%BX0 +--R + +--R 4 5 2 2 3 2 +--R (2592a b - 2592a )%%BX0 + (72a b + 144a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R + +--R +--------------------+ +-------------+ +-----------------+ +--R 6+-+5 | 3+---+2 3+-+ 3+-+ | 3+-+ 3+-+ |3+---+3+-+ 3+-+ +--R 3\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R * +--R +------+ +--R \|4%%BX0 +--R * +--R log +--R 5 6 2 3 4 +--R (- 7776a b + 7776a )%%BX0 + (- 216a b - 432a )%%BX0 - 6a b +--R + +--R 2 +--R 6a +--R * +--R +------+ +--R \|4%%BX0 +--R + +--R 4 5 2 2 3 2 +--R (2592a b - 2592a )%%BX0 + (72a b + 144a )%%BX0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b - 2a +--R + +--R +-------------+ +-----------------+ 6+-+ +--R | 3+-+ 3+-+ |3+---+3+-+ 3+-+ tanh(x)\|a +--R - 2\|- \|b + \|a \|\|- 1 \|b + \|a atanh(-----------------------) +--R +--------------------+ +--R | 3+---+2 3+-+ 3+-+ +--R \|- \|- 1 \|b + \|a +--R + +--R +--------------------+ +-----------------+ 6+-+ +--R | 3+---+2 3+-+ 3+-+ |3+---+3+-+ 3+-+ tanh(x)\|a +--R - 2\|- \|- 1 \|b + \|a \|\|- 1 \|b + \|a atanh(----------------) +--R +-------------+ +--R | 3+-+ 3+-+ +--R \|- \|b + \|a +--R + +--R +--------------------+ +-------------+ 6+-+ +--R | 3+---+2 3+-+ 3+-+ | 3+-+ 3+-+ tanh(x)\|a +--R - 2\|- \|- 1 \|b + \|a \|- \|b + \|a atanh(--------------------) +--R +-----------------+ +--R |3+---+3+-+ 3+-+ +--R \|\|- 1 \|b + \|a +--R / +--R +--------------------+ +-------------+ +-----------------+ +--R 6+-+5 | 3+---+2 3+-+ 3+-+ | 3+-+ 3+-+ |3+---+3+-+ 3+-+ +--R 6\|a \|- \|- 1 \|b + \|a \|- \|b + \|a \|\|- 1 \|b + \|a +--R Type: Expression Integer +--E 79 + +--S 80 of 500 +--d0215:= D(m0215,x) +--E 80 + +--S 81 of 500 +t0216:= 1/(a-b*cosh(x)^8) +--R +--R +--R 1 +--R (52) - -------------- +--R 8 +--R b cosh(x) - a +--R Type: Expression Integer +--E 81 + +--S 82 of 500 +r0216:= 1/4*atanh(a^(1/8)*tanh(x)/(a^(1/4)-b^(1/4))^(1/2))/a^(7/8)/_ + (a^(1/4)-b^(1/4))^(1/2)+1/4*atanh(a^(1/8)*tanh(x)/_ + (a^(1/4)-%i*b^(1/4))^(1/2))/a^(7/8)/(a^(1/4)-%i*b^(1/4))^(1/2)+_ + 1/4*atanh(a^(1/8)*tanh(x)/(a^(1/4)+%i*b^(1/4))^(1/2))/_ + a^(7/8)/(a^(1/4)+%i*b^(1/4))^(1/2)+1/4*atanh(a^(1/8)*_ + tanh(x)/(a^(1/4)+b^(1/4))^(1/2))/a^(7/8)/(a^(1/4)+b^(1/4))^(1/2) +--R +--R +--R (53) +--R +---------------+ +-------------+ +-----------+ 8+-+ +--R | 4+-+ 4+-+ | 4+-+ 4+-+ |4+-+ 4+-+ tanh(x)\|a +--R \|- %i\|b + \|a \|%i\|b + \|a \|\|b + \|a atanh(----------------) +--R +-------------+ +--R | 4+-+ 4+-+ +--R \|- \|b + \|a +--R + +--R +-------------+ +-------------+ +-----------+ 8+-+ +--R | 4+-+ 4+-+ | 4+-+ 4+-+ |4+-+ 4+-+ tanh(x)\|a +--R \|- \|b + \|a \|%i\|b + \|a \|\|b + \|a atanh(------------------) +--R +---------------+ +--R | 4+-+ 4+-+ +--R \|- %i\|b + \|a +--R + +--R +-------------+ +---------------+ +-----------+ 8+-+ +--R | 4+-+ 4+-+ | 4+-+ 4+-+ |4+-+ 4+-+ tanh(x)\|a +--R \|- \|b + \|a \|- %i\|b + \|a \|\|b + \|a atanh(----------------) +--R +-------------+ +--R | 4+-+ 4+-+ +--R \|%i\|b + \|a +--R + +--R +-------------+ +---------------+ +-------------+ 8+-+ +--R | 4+-+ 4+-+ | 4+-+ 4+-+ | 4+-+ 4+-+ tanh(x)\|a +--R \|- \|b + \|a \|- %i\|b + \|a \|%i\|b + \|a atanh(--------------) +--R +-----------+ +--R |4+-+ 4+-+ +--R \|\|b + \|a +--R / +--R +-------------+ +---------------+ +-------------+ +-----------+ +--R 8+-+7 | 4+-+ 4+-+ | 4+-+ 4+-+ | 4+-+ 4+-+ |4+-+ 4+-+ +--R 4\|a \|- \|b + \|a \|- %i\|b + \|a \|%i\|b + \|a \|\|b + \|a +--R Type: Expression Complex Integer +--E 82 + +--S 83 of 500 +a0216:= integrate(t0216,x) +--R +--R +--R (54) +--R - +--R ROOT +--R 2 +--R (16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b + 16a )%%BY1 + (- 16a b + 16a )%%BY0 - 1 +--R / +--R 2 +--R 8a b - 8a +--R * +--R log +--R 7 8 5 6 +--R ((1048576a b - 1048576a )%%BY0 - 16384a b + 16384a ) +--R * +--R %%BY1 +--R + +--R 5 6 3 4 +--R (- 16384a b + 16384a )%%BY0 + 256a b - 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((1048576a b - 1048576a )%%BY0 - 16384a b + 16384a )%%BY1 +--R + +--R 7 8 2 6 3 +--R (1048576a b - 1048576a )%%BY0 + 65536a %%BY0 - 256a b +--R + +--R 4 +--R - 768a +--R * +--R %%BY1 +--R + +--R 5 6 2 3 4 +--R (- 16384a b + 16384a )%%BY0 + (- 256a b - 768a )%%BY0 +--R + +--R 2 +--R 8a b + 8a +--R * +--R ROOT +--R 2 +--R (16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 +--R (- 1024a b + 2048a b - 1024a )%%BY0 +--R + +--R 2 3 +--R - 64a b + 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b + 16a )%%BY1 + (- 16a b + 16a )%%BY0 - 1 +--R / +--R 2 +--R 8a b - 8a +--R + +--R 6 7 4 5 +--R ((262144a b - 262144a )%%BY0 - 4096a b + 4096a )%%BY1 +--R + +--R 4 5 2 3 +--R (- 4096a b + 4096a )%%BY0 + 64a b - 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b - 262144a )%%BY0 - 4096a b + 4096a )%%BY1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b - 262144a )%%BY0 + 16384a %%BY0 - 64a b - 192a ) +--R * +--R %%BY1 +--R + +--R 4 5 2 2 3 +--R (- 4096a b + 4096a )%%BY0 + (- 64a b - 192a )%%BY0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R ROOT +--R 2 +--R (- 16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b + 2048a b - 1024a )%%BY0 - 64a b + 64a ) +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b + 16a )%%BY1 + (- 16a b + 16a )%%BY0 - 1 +--R / +--R 2 +--R 8a b - 8a +--R * +--R log +--R 7 8 5 6 +--R ((1048576a b - 1048576a )%%BY0 - 16384a b + 16384a )%%BY1 +--R + +--R 5 6 3 4 +--R (- 16384a b + 16384a )%%BY0 + 256a b - 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((- 1048576a b + 1048576a )%%BY0 + 16384a b - 16384a )%%BY1 +--R + +--R 7 8 2 6 3 +--R (- 1048576a b + 1048576a )%%BY0 - 65536a %%BY0 + 256a b +--R + +--R 4 +--R 768a +--R * +--R %%BY1 +--R + +--R 5 6 2 3 4 2 +--R (16384a b - 16384a )%%BY0 + (256a b + 768a )%%BY0 - 8a b - 8a +--R * +--R ROOT +--R 2 +--R (- 16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b + 16a )%%BY1 + (- 16a b + 16a )%%BY0 - 1 +--R / +--R 2 +--R 8a b - 8a +--R + +--R 6 7 4 5 +--R ((- 262144a b + 262144a )%%BY0 + 4096a b - 4096a )%%BY1 +--R + +--R 4 5 2 3 +--R (4096a b - 4096a )%%BY0 - 64a b + 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b + 2048a b - 1024a )%%BY0 - 64a b + 64a ) +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b - 262144a )%%BY0 - 4096a b + 4096a )%%BY1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b - 262144a )%%BY0 + 16384a %%BY0 - 64a b - 192a )%%BY1 +--R + +--R 4 5 2 2 3 2 +--R (- 4096a b + 4096a )%%BY0 + (- 64a b - 192a )%%BY0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R - +--R ROOT +--R 2 +--R (- 16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b + 16a )%%BY1 + (- 16a b + 16a )%%BY0 - 1 +--R / +--R 2 +--R 8a b - 8a +--R * +--R log +--R 7 8 5 +--R (- 1048576a b + 1048576a )%%BY0 + 16384a b +--R + +--R 6 +--R - 16384a +--R * +--R %%BY1 +--R + +--R 5 6 3 4 +--R (16384a b - 16384a )%%BY0 - 256a b + 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((1048576a b - 1048576a )%%BY0 - 16384a b + 16384a )%%BY1 +--R + +--R 7 8 2 6 3 +--R (1048576a b - 1048576a )%%BY0 + 65536a %%BY0 - 256a b +--R + +--R 4 +--R - 768a +--R * +--R %%BY1 +--R + +--R 5 6 2 3 4 +--R (- 16384a b + 16384a )%%BY0 + (- 256a b - 768a )%%BY0 +--R + +--R 2 +--R 8a b + 8a +--R * +--R ROOT +--R 2 +--R (- 16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 +--R (- 1024a b + 2048a b - 1024a )%%BY0 +--R + +--R 2 3 +--R - 64a b + 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b + 16a )%%BY1 + (- 16a b + 16a )%%BY0 - 1 +--R / +--R 2 +--R 8a b - 8a +--R + +--R 6 7 4 5 +--R ((- 262144a b + 262144a )%%BY0 + 4096a b - 4096a )%%BY1 +--R + +--R 4 5 2 3 +--R (4096a b - 4096a )%%BY0 - 64a b + 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b - 262144a )%%BY0 - 4096a b + 4096a )%%BY1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b - 262144a )%%BY0 + 16384a %%BY0 - 64a b - 192a ) +--R * +--R %%BY1 +--R + +--R 4 5 2 2 3 +--R (- 4096a b + 4096a )%%BY0 + (- 64a b - 192a )%%BY0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + 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cosh(x)sinh(x) +--R + +--R 2 +--R b cosh(x) + b + 2a +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 83 + +--S 84 of 500 +m0216:= a0216-r0216 +--R +--R +--R (55) +--R - +--R +-------------+ +---------------+ +-------------+ +--R 8+-+7 | 4+-+ 4+-+ | 4+-+ 4+-+ | 4+-+ 4+-+ +--R 2\|a \|- \|b + \|a \|- %i\|b + \|a \|%i\|b + \|a +--R * +--R +-----------+ +--R |4+-+ 4+-+ +--R \|\|b + \|a +--R * +--R ROOT +--R 2 +--R (16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b + 16a )%%BY1 + (- 16a b + 16a )%%BY0 - 1 +--R / +--R 2 +--R 8a b - 8a +--R * +--R log +--R 7 8 5 6 +--R ((1048576a b - 1048576a )%%BY0 - 16384a b + 16384a ) +--R * +--R %%BY1 +--R + 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\|- %i\|b + \|a \|%i\|b + \|a +--R * +--R +-----------+ +--R |4+-+ 4+-+ +--R \|\|b + \|a +--R * +--R ROOT +--R 2 +--R (- 16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b + 16a )%%BY1 + (- 16a b + 16a )%%BY0 - 1 +--R / +--R 2 +--R 8a b - 8a +--R * +--R log +--R 7 8 5 +--R (- 1048576a b + 1048576a )%%BY0 + 16384a b +--R + +--R 6 +--R - 16384a +--R * +--R %%BY1 +--R + +--R 5 6 3 4 +--R (16384a b - 16384a )%%BY0 - 256a b + 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((1048576a b - 1048576a )%%BY0 - 16384a b + 16384a )%%BY1 +--R + +--R 7 8 2 6 3 +--R (1048576a b - 1048576a )%%BY0 + 65536a %%BY0 - 256a b +--R + +--R 4 +--R - 768a +--R * +--R %%BY1 +--R + +--R 5 6 2 3 4 +--R (- 16384a b + 16384a )%%BY0 + (- 256a b - 768a )%%BY0 +--R + +--R 2 +--R 8a b + 8a +--R * +--R ROOT +--R 2 +--R (- 16a b + 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 +--R (- 1024a b + 2048a b - 1024a )%%BY0 +--R + +--R 2 3 +--R - 64a b + 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b + 16a )%%BY1 + (- 16a b + 16a )%%BY0 - 1 +--R / +--R 2 +--R 8a b - 8a +--R + +--R 6 7 4 5 +--R ((- 262144a b + 262144a )%%BY0 + 4096a b - 4096a )%%BY1 +--R + +--R 4 5 2 3 +--R (4096a b - 4096a )%%BY0 - 64a b + 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b - 262144a )%%BY0 - 4096a b + 4096a )%%BY1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b - 262144a )%%BY0 + 16384a %%BY0 - 64a b - 192a ) +--R * +--R %%BY1 +--R + +--R 4 5 2 2 3 +--R (- 4096a b + 4096a )%%BY0 + (- 64a b - 192a )%%BY0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R +-------------+ +---------------+ +-------------+ +-----------+ +--R 8+-+7 | 4+-+ 4+-+ | 4+-+ 4+-+ | 4+-+ 4+-+ |4+-+ 4+-+ +--R 2\|a \|- \|b + \|a \|- %i\|b + \|a \|%i\|b + \|a \|\|b + \|a +--R * +--R ROOT +--R 2 +--R (16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b + 2048a b - 1024a )%%BY0 - 64a b + 64a ) +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b + 16a )%%BY1 + (- 16a b + 16a )%%BY0 - 1 +--R / +--R 2 +--R 8a b - 8a +--R * +--R log +--R 7 8 5 6 +--R ((- 1048576a b + 1048576a )%%BY0 + 16384a b - 16384a ) +--R * +--R %%BY1 +--R + +--R 5 6 3 4 +--R (16384a b - 16384a )%%BY0 - 256a b + 256a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 7 8 5 6 2 +--R ((- 1048576a b + 1048576a )%%BY0 + 16384a b - 16384a )%%BY1 +--R + +--R 7 8 2 6 3 +--R (- 1048576a b + 1048576a )%%BY0 - 65536a %%BY0 + 256a b +--R + +--R 4 +--R 768a +--R * +--R %%BY1 +--R + +--R 5 6 2 3 4 2 +--R (16384a b - 16384a )%%BY0 + (256a b + 768a )%%BY0 - 8a b - 8a +--R * +--R ROOT +--R 2 +--R (16a b - 16a ) +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1024a b + 2048a b - 1024a )%%BY0 - 64a b +--R + +--R 3 +--R 64a +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 2 2 +--R (- 16a b + 16a )%%BY1 + (- 16a b + 16a )%%BY0 - 1 +--R / +--R 2 +--R 8a b - 8a +--R + +--R 6 7 4 5 +--R ((262144a b - 262144a )%%BY0 - 4096a b + 4096a )%%BY1 +--R + +--R 4 5 2 3 +--R (- 4096a b + 4096a )%%BY0 + 64a b - 64a +--R * +--R ROOT +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY1 +--R + +--R 3 2 4 5 2 3 +--R ((- 1024a b + 2048a b - 1024a )%%BY0 - 64a b + 64a ) +--R * +--R %%BY1 +--R + +--R 3 2 4 5 2 +--R (- 1536a b + 3072a b - 1536a )%%BY0 +--R + +--R 2 3 +--R (- 64a b + 64a )%%BY0 + 3b - a +--R / +--R 3 2 4 5 +--R 512a b - 1024a b + 512a +--R + +--R 6 7 4 5 2 +--R ((262144a b - 262144a )%%BY0 - 4096a b + 4096a )%%BY1 +--R + +--R 6 7 2 5 2 3 +--R ((262144a b - 262144a )%%BY0 + 16384a %%BY0 - 64a b - 192a )%%BY1 +--R + +--R 4 5 2 2 3 2 +--R (- 4096a b + 4096a )%%BY0 + (- 64a b - 192a )%%BY0 + b sinh(x) +--R + +--R 2 +--R 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R +-------------+ +---------------+ +-------------+ +-----------+ +--R 8+-+7 | 4+-+ 4+-+ | 4+-+ 4+-+ | 4+-+ 4+-+ |4+-+ 4+-+ +--R 2\|a \|- \|b + \|a \|- %i\|b + \|a \|%i\|b + \|a \|\|b + \|a +--R * +--R +------+ +--R \|4%%BY1 +--R * +--R log +--R 7 8 5 6 2 +--R ((2097152a b - 2097152a )%%BY0 - 32768a b + 32768a )%%BY1 +--R + +--R 7 8 2 6 3 +--R (2097152a b - 2097152a )%%BY0 + 131072a %%BY0 - 512a b +--R + +--R 4 +--R - 1536a +--R * +--R %%BY1 +--R + +--R 7 8 3 6 2 4 +--R (2097152a b - 2097152a )%%BY0 + 131072a %%BY0 - 3072a %%BY0 +--R + +--R 2 +--R - 8a b + 24a +--R * +--R +------+ +--R \|4%%BY1 +--R + +--R 6 7 4 5 2 +--R ((- 524288a b + 524288a )%%BY0 + 8192a b - 8192a )%%BY1 +--R + +--R 6 7 2 5 2 3 +--R ((- 524288a b + 524288a )%%BY0 - 32768a %%BY0 + 128a b + 384a ) +--R * +--R %%BY1 +--R + +--R 6 7 3 5 2 3 +--R (- 524288a b + 524288a )%%BY0 - 32768a %%BY0 + 768a %%BY0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b - 6a +--R + +--R - +--R +-------------+ +---------------+ +-------------+ +--R 8+-+7 | 4+-+ 4+-+ | 4+-+ 4+-+ | 4+-+ 4+-+ +--R 2\|a \|- \|b + \|a \|- %i\|b + \|a \|%i\|b + \|a +--R * +--R +-----------+ +--R |4+-+ 4+-+ +------+ +--R \|\|b + \|a \|4%%BY1 +--R * +--R log +--R 7 8 5 6 +--R ((- 2097152a b + 2097152a )%%BY0 + 32768a b - 32768a ) +--R * +--R 2 +--R %%BY1 +--R + +--R 7 8 2 6 +--R (- 2097152a b + 2097152a )%%BY0 - 131072a %%BY0 +--R + +--R 3 4 +--R 512a b + 1536a +--R * +--R %%BY1 +--R + +--R 7 8 3 6 2 +--R (- 2097152a b + 2097152a )%%BY0 - 131072a %%BY0 +--R + +--R 4 2 +--R 3072a %%BY0 + 8a b - 24a +--R * +--R +------+ +--R \|4%%BY1 +--R + +--R 6 7 4 5 2 +--R ((- 524288a b + 524288a )%%BY0 + 8192a b - 8192a )%%BY1 +--R + +--R 6 7 2 5 2 +--R (- 524288a b + 524288a )%%BY0 - 32768a %%BY0 + 128a b +--R + +--R 3 +--R 384a +--R * +--R %%BY1 +--R + +--R 6 7 3 5 2 3 +--R (- 524288a b + 524288a )%%BY0 - 32768a %%BY0 + 768a %%BY0 +--R + +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b - 6a +--R + +--R - +--R +-------------+ +---------------+ +-------------+ +--R 8+-+7 | 4+-+ 4+-+ | 4+-+ 4+-+ | 4+-+ 4+-+ +--R 2\|a \|- \|b + \|a \|- %i\|b + \|a \|%i\|b + \|a +--R * +--R +-----------+ +--R |4+-+ 4+-+ +------+ +--R \|\|b + \|a \|4%%BY0 +--R * +--R log +--R 7 8 3 5 6 2 +--R (2097152a b - 2097152a )%%BY0 + (32768a b + 98304a )%%BY0 +--R + +--R 3 4 2 +--R (512a b - 1536a )%%BY0 + 8a b + 8a +--R * +--R +------+ +--R \|4%%BY0 +--R + +--R 6 7 3 4 5 2 +--R (524288a b - 524288a )%%BY0 + (8192a b + 24576a )%%BY0 +--R + +--R 2 3 2 +--R (128a b - 384a )%%BY0 + b sinh(x) + 2b cosh(x)sinh(x) +--R + +--R 2 +--R b cosh(x) + b + 2a +--R + +--R +-------------+ +---------------+ +-------------+ +-----------+ +--R 8+-+7 | 4+-+ 4+-+ | 4+-+ 4+-+ | 4+-+ 4+-+ |4+-+ 4+-+ +--R 2\|a \|- \|b + \|a \|- %i\|b + \|a \|%i\|b + \|a \|\|b + \|a +--R * +--R +------+ +--R \|4%%BY0 +--R * +--R log +--R 7 8 3 +--R (- 2097152a b + 2097152a )%%BY0 +--R + +--R 5 6 2 3 4 +--R (- 32768a b - 98304a )%%BY0 + (- 512a b + 1536a )%%BY0 - 8a b +--R + +--R 2 +--R - 8a +--R * +--R +------+ +--R \|4%%BY0 +--R + +--R 6 7 3 4 5 2 +--R (524288a b - 524288a )%%BY0 + (8192a b + 24576a )%%BY0 +--R + +--R 2 3 2 +--R (128a b - 384a )%%BY0 + b sinh(x) + 2b cosh(x)sinh(x) +--R + +--R 2 +--R b cosh(x) + b + 2a +--R + +--R +---------------+ +-------------+ +-----------+ 8+-+ +--R | 4+-+ 4+-+ | 4+-+ 4+-+ |4+-+ 4+-+ tanh(x)\|a +--R - \|- %i\|b + \|a \|%i\|b + \|a \|\|b + \|a atanh(----------------) +--R +-------------+ +--R | 4+-+ 4+-+ +--R \|- \|b + \|a +--R + +--R +-------------+ +-------------+ +-----------+ 8+-+ +--R | 4+-+ 4+-+ | 4+-+ 4+-+ |4+-+ 4+-+ tanh(x)\|a +--R - \|- \|b + \|a \|%i\|b + \|a \|\|b + \|a atanh(------------------) +--R +---------------+ +--R | 4+-+ 4+-+ +--R \|- %i\|b + \|a +--R + +--R +-------------+ +---------------+ +-----------+ 8+-+ +--R | 4+-+ 4+-+ | 4+-+ 4+-+ |4+-+ 4+-+ tanh(x)\|a +--R - \|- \|b + \|a \|- %i\|b + \|a \|\|b + \|a atanh(----------------) +--R +-------------+ +--R | 4+-+ 4+-+ +--R \|%i\|b + \|a +--R + +--R +-------------+ +---------------+ +-------------+ 8+-+ +--R | 4+-+ 4+-+ | 4+-+ 4+-+ | 4+-+ 4+-+ tanh(x)\|a +--R - \|- \|b + \|a \|- %i\|b + \|a \|%i\|b + \|a atanh(--------------) +--R +-----------+ +--R |4+-+ 4+-+ +--R \|\|b + \|a +--R / +--R +-------------+ +---------------+ +-------------+ +-----------+ +--R 8+-+7 | 4+-+ 4+-+ | 4+-+ 4+-+ | 4+-+ 4+-+ |4+-+ 4+-+ +--R 4\|a \|- \|b + \|a \|- %i\|b + \|a \|%i\|b + \|a \|\|b + \|a +--R Type: Expression Complex Integer +--E 84 + +--S 85 of 500 +--d0216:= D(m0216,x) +--E 85 + +--S 86 of 500 +t0217:= 1/(1+cosh(x)^3) +--R +--R +--R 1 +--R (56) ------------ +--R 3 +--R cosh(x) + 1 +--R Type: Expression Integer +--E 86 + +--S 87 of 500 +r0217:= -2/3*atanh((-1)^(2/3)*(1+(-1)^(1/3))^(1/2)*tanh(1/2*x))/_ + (1+(-1)^(1/3))^(1/2)+2/3*atanh((-1)^(1/3)*(1-(-1)^(2/3))^(1/2)*_ + tanh(1/2*x))/(1-(-1)^(2/3))^(1/2)+sinh(x)/(3+3*cosh(x)) +--R +--R +--R (57) +--R +-------------+ +----------+ +--R | 3+---+2 3+---+2 x |3+---+ +--R (- 2cosh(x) - 2)\|- \|- 1 + 1 atanh(\|- 1 tanh(-)\|\|- 1 + 1 ) +--R 2 +--R + +--R +----------+ +-------------+ +--R |3+---+ 3+---+ x | 3+---+2 +--R (2cosh(x) + 2)\|\|- 1 + 1 atanh(\|- 1 tanh(-)\|- \|- 1 + 1 ) +--R 2 +--R + +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R sinh(x)\|- \|- 1 + 1 \|\|- 1 + 1 +--R / +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R (3cosh(x) + 3)\|- \|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 87 + +--S 88 of 500 +a0217:= integrate(t0217,x) +--R +--R +--R (58) +--R %pi %pi %pi +--R (cos(---)sinh(x) + cos(---)cosh(x) + cos(---)) +--R 12 12 12 +--R * +--R log +--R 4+-+2 2 +-+4+-+ %pi 4+-+2 4+-+2 +--R \|3 sinh(x) + (2\|3 \|3 sin(---) + 2\|3 cosh(x) - \|3 )sinh(x) +--R 12 +--R + +--R %pi 2 +-+4+-+ +-+4+-+ %pi 4+-+2 2 +--R 3sin(---) + (2\|3 \|3 cosh(x) - \|3 \|3 )sin(---) + \|3 cosh(x) +--R 12 12 +--R + +--R 4+-+2 %pi 2 4+-+ %pi 4+-+2 +--R - \|3 cosh(x) + 3cos(---) - 3\|3 cos(---) + \|3 +--R 12 12 +--R + +--R %pi %pi %pi +--R (- cos(---)sinh(x) - cos(---)cosh(x) - cos(---)) +--R 12 12 12 +--R * +--R log +--R 4+-+2 2 +--R \|3 sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 4+-+2 %pi 2 +--R (- 2\|3 \|3 sin(---) + 2\|3 cosh(x) - \|3 )sinh(x) + 3sin(---) +--R 12 12 +--R + +--R +-+4+-+ +-+4+-+ %pi 4+-+2 2 +--R (- 2\|3 \|3 cosh(x) + \|3 \|3 )sin(---) + \|3 cosh(x) +--R 12 +--R + +--R 4+-+2 %pi 2 4+-+ %pi 4+-+2 +--R - \|3 cosh(x) + 3cos(---) + 3\|3 cos(---) + \|3 +--R 12 12 +--R + +--R %pi %pi +--R (2sin(---)sinh(x) + (2cosh(x) + 2)sin(---)) +--R 12 12 +--R * +--R %pi 4+-+ +--R 6cos(---) + 3\|3 +--R 12 +--R atan(----------------------------------------------------------) +--R +-+4+-+ %pi +-+4+-+ +-+4+-+ +--R 2\|3 \|3 sinh(x) - 6sin(---) + 2\|3 \|3 cosh(x) - \|3 \|3 +--R 12 +--R + +--R %pi %pi +--R (2sin(---)sinh(x) + (2cosh(x) + 2)sin(---)) +--R 12 12 +--R * +--R %pi 4+-+ +--R 6cos(---) - 3\|3 +--R 12 +--R atan(----------------------------------------------------------) +--R +-+4+-+ %pi +-+4+-+ +-+4+-+ +--R 2\|3 \|3 sinh(x) + 6sin(---) + 2\|3 \|3 cosh(x) - \|3 \|3 +--R 12 +--R + +--R 4+-+ +--R - 2\|3 +--R / +--R 4+-+ 4+-+ 4+-+ +--R 3\|3 sinh(x) + 3\|3 cosh(x) + 3\|3 +--R Type: Union(Expression Integer,...) +--E 88 + +--S 89 of 500 +m0217:= a0217-r0217 +--R +--R +--R (59) +--R %pi %pi %pi 2 +--R (cos(---)cosh(x) + cos(---))sinh(x) + cos(---)cosh(x) +--R 12 12 12 +--R + +--R %pi %pi +--R 2cos(---)cosh(x) + cos(---) +--R 12 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R log +--R 4+-+2 2 +-+4+-+ %pi 4+-+2 4+-+2 +--R \|3 sinh(x) + (2\|3 \|3 sin(---) + 2\|3 cosh(x) - \|3 )sinh(x) +--R 12 +--R + +--R %pi 2 +-+4+-+ +-+4+-+ %pi 4+-+2 2 +--R 3sin(---) + (2\|3 \|3 cosh(x) - \|3 \|3 )sin(---) + \|3 cosh(x) +--R 12 12 +--R + +--R 4+-+2 %pi 2 4+-+ %pi 4+-+2 +--R - \|3 cosh(x) + 3cos(---) - 3\|3 cos(---) + \|3 +--R 12 12 +--R + +--R %pi %pi %pi 2 +--R (- cos(---)cosh(x) - cos(---))sinh(x) - cos(---)cosh(x) +--R 12 12 12 +--R + +--R %pi %pi +--R - 2cos(---)cosh(x) - cos(---) +--R 12 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R log +--R 4+-+2 2 +--R \|3 sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 4+-+2 %pi 2 +--R (- 2\|3 \|3 sin(---) + 2\|3 cosh(x) - \|3 )sinh(x) + 3sin(---) +--R 12 12 +--R + +--R +-+4+-+ +-+4+-+ %pi 4+-+2 2 +--R (- 2\|3 \|3 cosh(x) + \|3 \|3 )sin(---) + \|3 cosh(x) +--R 12 +--R + +--R 4+-+2 %pi 2 4+-+ %pi 4+-+2 +--R - \|3 cosh(x) + 3cos(---) + 3\|3 cos(---) + \|3 +--R 12 12 +--R + +--R 4+-+ 4+-+ 4+-+ 2 4+-+ 4+-+ +--R ((2\|3 cosh(x) + 2\|3 )sinh(x) + 2\|3 cosh(x) + 4\|3 cosh(x) + 2\|3 ) +--R * +--R +-------------+ +----------+ +--R | 3+---+2 3+---+2 x |3+---+ +--R \|- \|- 1 + 1 atanh(\|- 1 tanh(-)\|\|- 1 + 1 ) +--R 2 +--R + +--R 4+-+ 4+-+ 4+-+ 2 4+-+ +--R (- 2\|3 cosh(x) - 2\|3 )sinh(x) - 2\|3 cosh(x) - 4\|3 cosh(x) +--R + +--R 4+-+ +--R - 2\|3 +--R * +--R +----------+ +-------------+ +--R |3+---+ 3+---+ x | 3+---+2 +--R \|\|- 1 + 1 atanh(\|- 1 tanh(-)\|- \|- 1 + 1 ) +--R 2 +--R + +--R %pi 2 %pi +--R ((2cosh(x) + 2)sin(---)sinh(x) + (2cosh(x) + 4cosh(x) + 2)sin(---)) +--R 12 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R %pi 4+-+ +--R 6cos(---) + 3\|3 +--R 12 +--R atan(----------------------------------------------------------) +--R +-+4+-+ %pi +-+4+-+ +-+4+-+ +--R 2\|3 \|3 sinh(x) - 6sin(---) + 2\|3 \|3 cosh(x) - \|3 \|3 +--R 12 +--R + +--R %pi 2 %pi +--R ((2cosh(x) + 2)sin(---)sinh(x) + (2cosh(x) + 4cosh(x) + 2)sin(---)) +--R 12 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R %pi 4+-+ +--R 6cos(---) - 3\|3 +--R 12 +--R atan(----------------------------------------------------------) +--R +-+4+-+ %pi +-+4+-+ +-+4+-+ +--R 2\|3 \|3 sinh(x) + 6sin(---) + 2\|3 \|3 cosh(x) - \|3 \|3 +--R 12 +--R + +--R 4+-+ 2 4+-+ 4+-+ 4+-+ 4+-+ +--R (- \|3 sinh(x) + (- \|3 cosh(x) - \|3 )sinh(x) - 2\|3 cosh(x) - 2\|3 ) +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R / +--R 4+-+ 4+-+ 4+-+ 2 4+-+ 4+-+ +--R ((3\|3 cosh(x) + 3\|3 )sinh(x) + 3\|3 cosh(x) + 6\|3 cosh(x) + 3\|3 ) +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 89 + +--S 90 of 500 +--d0217:= D(m0217,x) +--E 90 + +--S 91 of 500 +t0218:= 1/(1+cosh(x)^4) +--R +--R +--R 1 +--R (60) ------------ +--R 4 +--R cosh(x) + 1 +--R Type: Expression Integer +--E 91 + +--S 92 of 500 +r0218:= 1/2*atanh(tanh(x)/(1-%i)^(1/2))/(1-%i)^(1/2)+_ + 1/2*atanh(tanh(x)/(1+%i)^(1/2))/(1+%i)^(1/2) +--R +--R +--R +------+ tanh(x) +------+ tanh(x) +--R \|1 + %i atanh(---------) + \|1 - %i atanh(---------) +--R +------+ +------+ +--R \|1 - %i \|1 + %i +--R (61) ----------------------------------------------------- +--R +------+ +------+ +--R 2\|1 - %i \|1 + %i +--R Type: Expression Complex Integer +--E 92 + +--S 93 of 500 +a0218:= integrate(t0218,x) +--R +--R +--R (62) +--R 4+-+ %pi +--R \|2 cos(---) +--R 8 +--R * +--R log +--R 4 3 +--R sinh(x) + 4cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 2 +-+4+-+ %pi 2 +--R (2\|2 \|2 sin(---) + 6cosh(x) - 2\|2 \|2 cos(---) + 2)sinh(x) +--R 8 8 +--R + +--R +-+4+-+ %pi 3 +--R 4\|2 \|2 cosh(x)sin(---) + 4cosh(x) +--R 8 +--R + +--R +-+4+-+ %pi +--R (- 4\|2 \|2 cos(---) + 4)cosh(x) +--R 8 +--R * +--R sinh(x) +--R + +--R 4+-+2 %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 4\|2 sin(---) + (2\|2 \|2 cosh(x) - 2\|2 \|2 )sin(---) +--R 8 8 +--R + +--R 4 +-+4+-+ %pi 2 4+-+2 %pi 2 +--R cosh(x) + (- 2\|2 \|2 cos(---) + 2)cosh(x) + 4\|2 cos(---) +--R 8 8 +--R + +--R +-+4+-+ %pi +--R - 6\|2 \|2 cos(---) + 5 +--R 8 +--R + +--R - +--R 4+-+ %pi +--R \|2 cos(---) +--R 8 +--R * +--R log +--R 4 3 +--R sinh(x) + 4cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 2 +-+4+-+ %pi +--R (- 2\|2 \|2 sin(---) + 6cosh(x) + 2\|2 \|2 cos(---) + 2) +--R 8 8 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+4+-+ %pi 3 +--R - 4\|2 \|2 cosh(x)sin(---) + 4cosh(x) +--R 8 +--R + +--R +-+4+-+ %pi +--R (4\|2 \|2 cos(---) + 4)cosh(x) +--R 8 +--R * +--R sinh(x) +--R + +--R 4+-+2 %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 4\|2 sin(---) + (- 2\|2 \|2 cosh(x) + 2\|2 \|2 )sin(---) +--R 8 8 +--R + +--R 4 +-+4+-+ %pi 2 4+-+2 %pi 2 +--R cosh(x) + (2\|2 \|2 cos(---) + 2)cosh(x) + 4\|2 cos(---) +--R 8 8 +--R + +--R +-+4+-+ %pi +--R 6\|2 \|2 cos(---) + 5 +--R 8 +--R + +--R 4+-+ %pi +--R 2\|2 sin(---) +--R 8 +--R * +--R atan +--R 4+-+ %pi 4+-+ %pi +-+ +--R 2\|2 sin(---) + 2\|2 cos(---) + 2\|2 +--R 8 8 +--R / +--R +-+ 2 +-+ 4+-+ %pi +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) - 2\|2 sin(---) +--R 8 +--R + +--R +-+ 2 4+-+ %pi +-+ +--R \|2 cosh(x) + 2\|2 cos(---) + \|2 +--R 8 +--R + +--R 4+-+ %pi +--R 2\|2 sin(---) +--R 8 +--R * +--R atan +--R 4+-+ %pi 4+-+ %pi +-+ +--R 2\|2 sin(---) + 2\|2 cos(---) - 2\|2 +--R 8 8 +--R / +--R +-+ 2 +-+ 4+-+ %pi +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + 2\|2 sin(---) +--R 8 +--R + +--R +-+ 2 4+-+ %pi +-+ +--R \|2 cosh(x) - 2\|2 cos(---) + \|2 +--R 8 +--R / +--R +-+ +--R 4\|2 +--R Type: Union(Expression Integer,...) +--E 93 + +--S 94 of 500 +m0218:= a0218-r0218 +--R +--R +--R (63) +--R +------+ +------+4+-+ %pi +--R \|1 - %i \|1 + %i \|2 cos(---) +--R 8 +--R * +--R log +--R 4 3 +--R sinh(x) + 4cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 2 +-+4+-+ %pi 2 +--R (2\|2 \|2 sin(---) + 6cosh(x) - 2\|2 \|2 cos(---) + 2)sinh(x) +--R 8 8 +--R + +--R +-+4+-+ %pi 3 +--R 4\|2 \|2 cosh(x)sin(---) + 4cosh(x) +--R 8 +--R + +--R +-+4+-+ %pi +--R (- 4\|2 \|2 cos(---) + 4)cosh(x) +--R 8 +--R * +--R sinh(x) +--R + +--R 4+-+2 %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 4\|2 sin(---) + (2\|2 \|2 cosh(x) - 2\|2 \|2 )sin(---) +--R 8 8 +--R + +--R 4 +-+4+-+ %pi 2 4+-+2 %pi 2 +--R cosh(x) + (- 2\|2 \|2 cos(---) + 2)cosh(x) + 4\|2 cos(---) +--R 8 8 +--R + +--R +-+4+-+ %pi +--R - 6\|2 \|2 cos(---) + 5 +--R 8 +--R + +--R - +--R +------+ +------+4+-+ %pi +--R \|1 - %i \|1 + %i \|2 cos(---) +--R 8 +--R * +--R log +--R 4 3 +--R sinh(x) + 4cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 2 +-+4+-+ %pi +--R (- 2\|2 \|2 sin(---) + 6cosh(x) + 2\|2 \|2 cos(---) + 2) +--R 8 8 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+4+-+ %pi 3 +--R - 4\|2 \|2 cosh(x)sin(---) + 4cosh(x) +--R 8 +--R + +--R +-+4+-+ %pi +--R (4\|2 \|2 cos(---) + 4)cosh(x) +--R 8 +--R * +--R sinh(x) +--R + +--R 4+-+2 %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 4\|2 sin(---) + (- 2\|2 \|2 cosh(x) + 2\|2 \|2 )sin(---) +--R 8 8 +--R + +--R 4 +-+4+-+ %pi 2 4+-+2 %pi 2 +--R cosh(x) + (2\|2 \|2 cos(---) + 2)cosh(x) + 4\|2 cos(---) +--R 8 8 +--R + +--R +-+4+-+ %pi +--R 6\|2 \|2 cos(---) + 5 +--R 8 +--R + +--R +------+ +-+ tanh(x) +------+ +-+ tanh(x) +--R - 2\|1 + %i \|2 atanh(---------) - 2\|1 - %i \|2 atanh(---------) +--R +------+ +------+ +--R \|1 - %i \|1 + %i +--R + +--R +------+ +------+4+-+ %pi +--R 2\|1 - %i \|1 + %i \|2 sin(---) +--R 8 +--R * +--R atan +--R 4+-+ %pi 4+-+ %pi +-+ +--R 2\|2 sin(---) + 2\|2 cos(---) + 2\|2 +--R 8 8 +--R / +--R +-+ 2 +-+ 4+-+ %pi +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) - 2\|2 sin(---) +--R 8 +--R + +--R +-+ 2 4+-+ %pi +-+ +--R \|2 cosh(x) + 2\|2 cos(---) + \|2 +--R 8 +--R + +--R +------+ +------+4+-+ %pi +--R 2\|1 - %i \|1 + %i \|2 sin(---) +--R 8 +--R * +--R atan +--R 4+-+ %pi 4+-+ %pi +-+ +--R 2\|2 sin(---) + 2\|2 cos(---) - 2\|2 +--R 8 8 +--R / +--R +-+ 2 +-+ 4+-+ %pi +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + 2\|2 sin(---) +--R 8 +--R + +--R +-+ 2 4+-+ %pi +-+ +--R \|2 cosh(x) - 2\|2 cos(---) + \|2 +--R 8 +--R / +--R +------+ +------+ +-+ +--R 4\|1 - %i \|1 + %i \|2 +--R Type: Expression Complex Integer +--E 94 + +--S 95 of 500 +--d0218:= D(m0218,x) +--E 95 + +--S 96 of 500 +t0219:= 1/(1+cosh(x)^5) +--R +--R +--R 1 +--R (64) ------------ +--R 5 +--R cosh(x) + 1 +--R Type: Expression Integer +--E 96 + +--S 97 of 500 +r0219:= 2/5*atanh((1+(-1)^(1/5))*_ + tanh(1/2*x)/(1-(-1)^(2/5))^(1/2))/(1-(-1)^(2/5))^(1/2)+2/5*_ + atanh((1+(-1)^(3/5))*_ + tanh(1/2*x)/(1+(-1)^(1/5))^(1/2))/(1+(-1)^(1/5))^(1/2)+2/5*_ + atanh((1-(-1)^(2/5))*_ + tanh(1/2*x)/(1-(-1)^(4/5))^(1/2))/(1-(-1)^(4/5))^(1/2)+2/5*_ + atanh((1-(-1)^(4/5))*tanh(1/2*x)/(1+(-1)^(3/5))^(1/2))/_ + (1+(-1)^(3/5))^(1/2)+sinh(x)/(5+5*cosh(x)) +--R +--R +--R (65) +--R +-------------+ +----------+ +-----------+ +--R | 5+---+2 |5+---+ |5+---+3 +--R (- 2cosh(x) - 2)\|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R * +--R 5+---+2 x +--R (\|- 1 - 1)tanh(-) +--R 2 +--R atanh(--------------------) +--R +-------------+ +--R | 5+---+4 +--R \|- \|- 1 + 1 +--R + +--R +-------------+ +----------+ +-----------+ +--R | 5+---+4 |5+---+ |5+---+3 +--R (2cosh(x) + 2)\|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R * +--R 5+---+ x +--R (\|- 1 + 1)tanh(-) +--R 2 +--R atanh(-------------------) +--R +-------------+ +--R | 5+---+2 +--R \|- \|- 1 + 1 +--R + +--R +-------------+ +-------------+ +-----------+ +--R | 5+---+4 | 5+---+2 |5+---+3 +--R (2cosh(x) + 2)\|- \|- 1 + 1 \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R 5+---+3 x +--R (\|- 1 + 1)tanh(-) +--R 2 +--R atanh(--------------------) +--R +----------+ +--R |5+---+ +--R \|\|- 1 + 1 +--R + +--R +-------------+ +-------------+ +----------+ +--R | 5+---+4 | 5+---+2 |5+---+ +--R (- 2cosh(x) - 2)\|- \|- 1 + 1 \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R 5+---+4 x +--R (\|- 1 - 1)tanh(-) +--R 2 +--R atanh(--------------------) +--R +-----------+ +--R |5+---+3 +--R \|\|- 1 + 1 +--R + +--R +-------------+ +-------------+ +----------+ +-----------+ +--R | 5+---+4 | 5+---+2 |5+---+ |5+---+3 +--R sinh(x)\|- \|- 1 + 1 \|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R / +--R +-------------+ +-------------+ +----------+ +-----------+ +--R | 5+---+4 | 5+---+2 |5+---+ |5+---+3 +--R (5cosh(x) + 5)\|- \|- 1 + 1 \|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 97 + +--S 98 of 500 +a0219:= integrate(t0219,x) +--R +--R +--R (66) +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 + 8 \| 625\|5 +--R (- sinh(x) - cosh(x) - 1) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ +--R (500\|5 - 1500)sinh(x) + (500\|5 - 1500)cosh(x) + 250\|5 +--R + +--R - 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +-+ 2 +--R (10\|5 - 10) |--------- cos(------------------- + 8\|5 sinh(x) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ 2 +--R (16\|5 cosh(x) - 4\|5 - 20)sinh(x) + 8\|5 cosh(x) +--R + +--R +-+ +-+ +--R (- 4\|5 - 20)cosh(x) + 8\|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 + 8 \| 625\|5 +--R (sinh(x) + cosh(x) + 1) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +--R (- 500\|5 + 1500)sinh(x) + (- 500\|5 + 1500)cosh(x) +--R + +--R +-+ +--R - 250\|5 + 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (- 10\|5 + 10) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 sinh(x) + (16\|5 cosh(x) - 4\|5 - 20)sinh(x) +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 cosh(x) + (- 4\|5 - 20)cosh(x) + 8\|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 - 8 \| 625\|5 +--R (- sinh(x) - cosh(x) - 1) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ +--R (500\|5 + 1500)sinh(x) + (500\|5 + 1500)cosh(x) + 250\|5 +--R + +--R 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +-+ 2 +--R (10\|5 + 10) |--------- cos(------------------- + 8\|5 sinh(x) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ 2 +--R (16\|5 cosh(x) - 4\|5 + 20)sinh(x) + 8\|5 cosh(x) +--R + +--R +-+ +-+ +--R (- 4\|5 + 20)cosh(x) + 8\|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 - 8 \| 625\|5 +--R (sinh(x) + cosh(x) + 1) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +--R (- 500\|5 - 1500)sinh(x) + (- 500\|5 - 1500)cosh(x) +--R + +--R +-+ +--R - 250\|5 - 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (- 10\|5 - 10) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 sinh(x) + (16\|5 cosh(x) - 4\|5 + 20)sinh(x) +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 cosh(x) + (- 4\|5 + 20)cosh(x) + 8\|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 - 8 \| 625\|5 +--R (- 2sinh(x) - 2cosh(x) - 2) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 - 2 +--R (125\|5 + 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R 4\|5 sinh(x) + 4\|5 cosh(x) - \|5 + 5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 - 8 \| 625\|5 +--R (2sinh(x) + 2cosh(x) + 2) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 - 2 +--R (- 125\|5 - 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R - 4\|5 sinh(x) - 4\|5 cosh(x) + \|5 - 5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 + 8 \| 625\|5 +--R (- 2sinh(x) - 2cosh(x) - 2) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 + 2 +--R (125\|5 - 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R 4\|5 sinh(x) + 4\|5 cosh(x) - \|5 - 5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 + 8 \| 625\|5 +--R (2sinh(x) + 2cosh(x) + 2) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 + 2 +--R (- 125\|5 + 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R - 4\|5 sinh(x) - 4\|5 cosh(x) + \|5 + 5 +--R + +--R - 4 +--R / +--R 10sinh(x) + 10cosh(x) + 10 +--R Type: Union(Expression Integer,...) +--E 98 + +--S 99 of 500 +m0219:= a0219-r0219 +--R +--R +--R (67) +--R +-------------+ +--R 2 | 5+---+4 +--R ((- cosh(x) - 1)sinh(x) - cosh(x) - 2cosh(x) - 1)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 + 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R cos(-------------------) +--R 2 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ +--R (500\|5 - 1500)sinh(x) + (500\|5 - 1500)cosh(x) + 250\|5 +--R + +--R - 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +-+ 2 +--R (10\|5 - 10) |--------- cos(------------------- + 8\|5 sinh(x) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ 2 +--R (16\|5 cosh(x) - 4\|5 - 20)sinh(x) + 8\|5 cosh(x) +--R + +--R +-+ +-+ +--R (- 4\|5 - 20)cosh(x) + 8\|5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((cosh(x) + 1)sinh(x) + cosh(x) + 2cosh(x) + 1)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 + 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R cos(-------------------) +--R 2 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +--R (- 500\|5 + 1500)sinh(x) + (- 500\|5 + 1500)cosh(x) +--R + +--R +-+ +--R - 250\|5 + 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (- 10\|5 + 10) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 sinh(x) + (16\|5 cosh(x) - 4\|5 - 20)sinh(x) +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 cosh(x) + (- 4\|5 - 20)cosh(x) + 8\|5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((- cosh(x) - 1)sinh(x) - cosh(x) - 2cosh(x) - 1)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 - 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R cos(-------------------) +--R 2 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ +--R (500\|5 + 1500)sinh(x) + (500\|5 + 1500)cosh(x) + 250\|5 +--R + +--R 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +-+ 2 +--R (10\|5 + 10) |--------- cos(------------------- + 8\|5 sinh(x) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ 2 +--R (16\|5 cosh(x) - 4\|5 + 20)sinh(x) + 8\|5 cosh(x) +--R + +--R +-+ +-+ +--R (- 4\|5 + 20)cosh(x) + 8\|5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((cosh(x) + 1)sinh(x) + cosh(x) + 2cosh(x) + 1)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 - 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R cos(-------------------) +--R 2 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +--R (- 500\|5 - 1500)sinh(x) + (- 500\|5 - 1500)cosh(x) +--R + +--R +-+ +--R - 250\|5 - 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (- 10\|5 - 10) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 sinh(x) + (16\|5 cosh(x) - 4\|5 + 20)sinh(x) +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 cosh(x) + (- 4\|5 + 20)cosh(x) + 8\|5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((- 2cosh(x) - 2)sinh(x) - 2cosh(x) - 4cosh(x) - 2)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 - 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R sin(-------------------) +--R 2 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 - 2 +--R (125\|5 + 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R 4\|5 sinh(x) + 4\|5 cosh(x) - \|5 + 5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((2cosh(x) + 2)sinh(x) + 2cosh(x) + 4cosh(x) + 2)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 - 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R sin(-------------------) +--R 2 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 - 2 +--R (- 125\|5 - 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R - 4\|5 sinh(x) - 4\|5 cosh(x) + \|5 - 5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((- 2cosh(x) - 2)sinh(x) - 2cosh(x) - 4cosh(x) - 2)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 + 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R sin(-------------------) +--R 2 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 + 2 +--R (125\|5 - 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R 4\|5 sinh(x) + 4\|5 cosh(x) - \|5 - 5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((2cosh(x) + 2)sinh(x) + 2cosh(x) + 4cosh(x) + 2)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 + 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R sin(-------------------) +--R 2 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 + 2 +--R (- 125\|5 + 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R - 4\|5 sinh(x) - 4\|5 cosh(x) + \|5 + 5 +--R + +--R +-------------+ +--R 2 | 5+---+2 +--R ((4cosh(x) + 4)sinh(x) + 4cosh(x) + 8cosh(x) + 4)\|- \|- 1 + 1 +--R * +--R 5+---+2 x +--R +----------+ +-----------+ (\|- 1 - 1)tanh(-) +--R |5+---+ |5+---+3 2 +--R \|\|- 1 + 1 \|\|- 1 + 1 atanh(--------------------) +--R +-------------+ +--R | 5+---+4 +--R \|- \|- 1 + 1 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((- 4cosh(x) - 4)sinh(x) - 4cosh(x) - 8cosh(x) - 4)\|- \|- 1 + 1 +--R * +--R 5+---+ x +--R +----------+ +-----------+ (\|- 1 + 1)tanh(-) +--R |5+---+ |5+---+3 2 +--R \|\|- 1 + 1 \|\|- 1 + 1 atanh(-------------------) +--R +-------------+ +--R | 5+---+2 +--R \|- \|- 1 + 1 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((- 4cosh(x) - 4)sinh(x) - 4cosh(x) - 8cosh(x) - 4)\|- \|- 1 + 1 +--R * +--R 5+---+3 x +--R +-------------+ +-----------+ (\|- 1 + 1)tanh(-) +--R | 5+---+2 |5+---+3 2 +--R \|- \|- 1 + 1 \|\|- 1 + 1 atanh(--------------------) +--R +----------+ +--R |5+---+ +--R \|\|- 1 + 1 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((4cosh(x) + 4)sinh(x) + 4cosh(x) + 8cosh(x) + 4)\|- \|- 1 + 1 +--R * +--R 5+---+4 x +--R +-------------+ +----------+ (\|- 1 - 1)tanh(-) +--R | 5+---+2 |5+---+ 2 +--R \|- \|- 1 + 1 \|\|- 1 + 1 atanh(--------------------) +--R +-----------+ +--R |5+---+3 +--R \|\|- 1 + 1 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R (- 2sinh(x) + (- 2cosh(x) - 2)sinh(x) - 4cosh(x) - 4)\|- \|- 1 + 1 +--R * +--R +-------------+ +----------+ +-----------+ +--R | 5+---+2 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R / +--R +-------------+ +--R 2 | 5+---+4 +--R ((10cosh(x) + 10)sinh(x) + 10cosh(x) + 20cosh(x) + 10)\|- \|- 1 + 1 +--R * +--R +-------------+ +----------+ +-----------+ +--R | 5+---+2 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 99 + +--S 100 of 500 +--d0219:= D(m0219,x) +--E 100 + +--S 101 of 500 +t0220:= 1/(1+cosh(x)^6) +--R +--R +--R 1 +--R (68) ------------ +--R 6 +--R cosh(x) + 1 +--R Type: Expression Integer +--E 101 + +--S 102 of 500 +r0220:= 1/6*atanh(1/2*2^(1/2)*tanh(x))*2^(1/2)+1/3*atanh(tanh(x)/_ + (1-(-1)^(1/3))^(1/2))/(1-(-1)^(1/3))^(1/2)+_ + 1/3*atanh(tanh(x)/(1+(-1)^(2/3))^(1/2))/(1+(-1)^(2/3))^(1/2) +--R +--R +--R (69) +--R +------------+ +-----------+ +-+ +--R +-+ | 3+---+ |3+---+2 \|2 tanh(x) +--R \|2 \|- \|- 1 + 1 \|\|- 1 + 1 atanh(-----------) +--R 2 +--R + +--R +-----------+ +--R |3+---+2 tanh(x) +--R 2\|\|- 1 + 1 atanh(---------------) +--R +------------+ +--R | 3+---+ +--R \|- \|- 1 + 1 +--R + +--R +------------+ +--R | 3+---+ tanh(x) +--R 2\|- \|- 1 + 1 atanh(--------------) +--R +-----------+ +--R |3+---+2 +--R \|\|- 1 + 1 +--R / +--R +------------+ +-----------+ +--R | 3+---+ |3+---+2 +--R 6\|- \|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 102 + +--S 103 of 500 +a0220:= integrate(t0220,x) +--R +--R +--R (70) +--R 3 +--R atan(----) +--R +-+ +--R +-+ \|3 +--R \|2 cos(----------) +--R 2 +--R * +--R log +--R 3 2 +--R atan(----) +--R +-+ +--R \|3 +--R 4sin(----------) +--R 2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R (2\|3 sinh(x) + 4\|3 cosh(x)sinh(x) + 2\|3 cosh(x) - 2\|3 ) +--R * +--R 3 +--R atan(----) +--R +-+ +--R \|3 +--R sin(----------) +--R 2 +--R + +--R 3 2 +--R atan(----) +--R +-+ +--R \|3 +--R 4cos(----------) +--R 2 +--R + +--R 3 +--R atan(----) +--R +-+ +--R 2 2 \|3 +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 6)cos(----------) +--R 2 +--R + +--R 4 3 2 2 3 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) + 4cosh(x) sinh(x) +--R + +--R 4 +--R cosh(x) + 3 +--R + +--R - +--R 3 +--R atan(----) +--R +-+ +--R +-+ \|3 +--R \|2 cos(----------) +--R 2 +--R * +--R log +--R 3 2 +--R atan(----) +--R +-+ +--R \|3 +--R 4sin(----------) +--R 2 +--R + +--R +-+ 2 +-+ +-+ 2 +--R - 2\|3 sinh(x) - 4\|3 cosh(x)sinh(x) - 2\|3 cosh(x) +--R + +--R +-+ +--R 2\|3 +--R * +--R 3 +--R atan(----) +--R +-+ +--R \|3 +--R sin(----------) +--R 2 +--R + +--R 3 2 +--R atan(----) +--R +-+ +--R \|3 +--R 4cos(----------) +--R 2 +--R + +--R 3 +--R atan(----) +--R +-+ +--R 2 2 \|3 +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) + 6)cos(----------) +--R 2 +--R + +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) + 3 +--R + +--R - +--R 3 +--R atan(----) +--R +-+ +--R +-+ \|3 +--R 2\|2 sin(----------) +--R 2 +--R * +--R atan +--R 3 3 +--R atan(----) atan(----) +--R +-+ +-+ +--R \|3 +-+ \|3 +-+ +--R sin(----------) + \|3 cos(----------) + \|3 +--R 2 2 +--R / +--R 3 3 +--R atan(----) atan(----) +--R +-+ +-+ +--R +-+ \|3 \|3 2 +--R \|3 sin(----------) - cos(----------) - sinh(x) +--R 2 2 +--R + +--R 2 +--R - 2cosh(x)sinh(x) - cosh(x) +--R + +--R 3 +--R atan(----) +--R +-+ +--R +-+ \|3 +--R 2\|2 sin(----------) +--R 2 +--R * +--R atan +--R 3 3 +--R atan(----) atan(----) +--R +-+ +-+ +--R \|3 +-+ \|3 +-+ +--R sin(----------) + \|3 cos(----------) - \|3 +--R 2 2 +--R / +--R 3 3 +--R atan(----) atan(----) +--R +-+ +-+ +--R +-+ \|3 \|3 2 +--R \|3 sin(----------) - cos(----------) + sinh(x) +--R 2 2 +--R + +--R 2 +--R 2cosh(x)sinh(x) + cosh(x) +--R + +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) + 3\|2 - 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R / +--R +-+ +--R 6\|2 +--R Type: Union(Expression Integer,...) +--E 103 + +--S 104 of 500 +m0220:= a0220-r0220 +--R +--R +--R (71) +--R 3 +--R atan(----) +--R +------------+ +-----------+ +-+ +--R +-+ | 3+---+ |3+---+2 \|3 +--R \|2 \|- \|- 1 + 1 \|\|- 1 + 1 cos(----------) +--R 2 +--R * +--R log +--R 3 2 +--R atan(----) +--R +-+ +--R \|3 +--R 4sin(----------) +--R 2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R (2\|3 sinh(x) + 4\|3 cosh(x)sinh(x) + 2\|3 cosh(x) - 2\|3 ) +--R * +--R 3 +--R atan(----) +--R +-+ +--R \|3 +--R sin(----------) +--R 2 +--R + +--R 3 2 +--R atan(----) +--R +-+ +--R \|3 +--R 4cos(----------) +--R 2 +--R + +--R 3 +--R atan(----) +--R +-+ +--R 2 2 \|3 +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 6)cos(----------) +--R 2 +--R + +--R 4 3 2 2 3 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) + 4cosh(x) sinh(x) +--R + +--R 4 +--R cosh(x) + 3 +--R + +--R - +--R 3 +--R atan(----) +--R +------------+ +-----------+ +-+ +--R +-+ | 3+---+ |3+---+2 \|3 +--R \|2 \|- \|- 1 + 1 \|\|- 1 + 1 cos(----------) +--R 2 +--R * +--R log +--R 3 2 +--R atan(----) +--R +-+ +--R \|3 +--R 4sin(----------) +--R 2 +--R + +--R +-+ 2 +-+ +-+ 2 +--R - 2\|3 sinh(x) - 4\|3 cosh(x)sinh(x) - 2\|3 cosh(x) +--R + +--R +-+ +--R 2\|3 +--R * +--R 3 +--R atan(----) +--R +-+ +--R \|3 +--R sin(----------) +--R 2 +--R + +--R 3 2 +--R atan(----) +--R +-+ +--R \|3 +--R 4cos(----------) +--R 2 +--R + +--R 3 +--R atan(----) +--R +-+ +--R 2 2 \|3 +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) + 6)cos(----------) +--R 2 +--R + +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + 6cosh(x) sinh(x) +--R + +--R 3 4 +--R 4cosh(x) sinh(x) + cosh(x) + 3 +--R + +--R - +--R 3 +--R atan(----) +--R +------------+ +-----------+ +-+ +--R +-+ | 3+---+ |3+---+2 \|3 +--R 2\|2 \|- \|- 1 + 1 \|\|- 1 + 1 sin(----------) +--R 2 +--R * +--R atan +--R 3 3 +--R atan(----) atan(----) +--R +-+ +-+ +--R \|3 +-+ \|3 +-+ +--R sin(----------) + \|3 cos(----------) + \|3 +--R 2 2 +--R / +--R 3 3 +--R atan(----) atan(----) +--R +-+ +-+ +--R +-+ \|3 \|3 2 +--R \|3 sin(----------) - cos(----------) - sinh(x) +--R 2 2 +--R + +--R 2 +--R - 2cosh(x)sinh(x) - cosh(x) +--R + +--R 3 +--R atan(----) +--R +------------+ +-----------+ +-+ +--R +-+ | 3+---+ |3+---+2 \|3 +--R 2\|2 \|- \|- 1 + 1 \|\|- 1 + 1 sin(----------) +--R 2 +--R * +--R atan +--R 3 3 +--R atan(----) atan(----) +--R +-+ +-+ +--R \|3 +-+ \|3 +-+ +--R sin(----------) + \|3 cos(----------) - \|3 +--R 2 2 +--R / +--R 3 3 +--R atan(----) atan(----) +--R +-+ +-+ +--R +-+ \|3 \|3 2 +--R \|3 sin(----------) - cos(----------) + sinh(x) +--R 2 2 +--R + +--R 2 +--R 2cosh(x)sinh(x) + cosh(x) +--R + +--R +------------+ +-----------+ +--R | 3+---+ |3+---+2 +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) + 3\|2 - 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R + +--R +------------+ +-----------+ +-+ +--R | 3+---+ |3+---+2 \|2 tanh(x) +--R - 2\|- \|- 1 + 1 \|\|- 1 + 1 atanh(-----------) +--R 2 +--R + +--R +-----------+ +--R +-+ |3+---+2 tanh(x) +--R - 2\|2 \|\|- 1 + 1 atanh(---------------) +--R +------------+ +--R | 3+---+ +--R \|- \|- 1 + 1 +--R + +--R +------------+ +--R +-+ | 3+---+ tanh(x) +--R - 2\|2 \|- \|- 1 + 1 atanh(--------------) +--R +-----------+ +--R |3+---+2 +--R \|\|- 1 + 1 +--R / +--R +------------+ +-----------+ +--R +-+ | 3+---+ |3+---+2 +--R 6\|2 \|- \|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 104 + +--S 105 of 500 +--d0220:= D(m0220,x) +--E 105 + +--S 106 of 500 +t0221:= 1/(1+cosh(x)^8) +--R +--R +--R 1 +--R (72) ------------ +--R 8 +--R cosh(x) + 1 +--R Type: Expression Integer +--E 106 + +--S 107 of 500 +r0221:= 1/4*atanh(tanh(x)/(1-(-1)^(1/4))^(1/2))/(1-(-1)^(1/4))^(1/2)+_ + 1/4*atanh(tanh(x)/(1+(-1)^(1/4))^(1/2))/(1+(-1)^(1/4))^(1/2)+_ + 1/4*atanh(tanh(x)/(1-(-1)^(3/4))^(1/2))/(1-(-1)^(3/4))^(1/2)+_ + 1/4*atanh(tanh(x)/(1+(-1)^(3/4))^(1/2))/(1+(-1)^(3/4))^(1/2) +--R +--R +--R (73) +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 |\|2 + \|- 1 + 1 +--R |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R tanh(x) +--R atanh(--------------------) +--R +-----------------+ +--R | +-+ +---+ +--R |\|2 - \|- 1 - 1 +--R |----------------- +--R | +-+ +--R \| \|2 +--R + +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 + \|- 1 - 1 |\|2 + \|- 1 + 1 +--R |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R tanh(x) +--R atanh(--------------------) +--R +-----------------+ +--R | +-+ +---+ +--R |\|2 - \|- 1 + 1 +--R |----------------- +--R | +-+ +--R \| \|2 +--R + +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 + 1 +--R |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R tanh(x) +--R atanh(--------------------) +--R +-----------------+ +--R | +-+ +---+ +--R |\|2 + \|- 1 - 1 +--R |----------------- +--R | +-+ +--R \| \|2 +--R + +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R tanh(x) +--R atanh(--------------------) +--R +-----------------+ +--R | +-+ +---+ +--R |\|2 + \|- 1 + 1 +--R |----------------- +--R | +-+ +--R \| \|2 +--R / +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R 4 |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R +-----------------+ +--R | +-+ +---+ +--R |\|2 + \|- 1 + 1 +--R |----------------- +--R | +-+ +--R \| \|2 +--R Type: Expression Integer +--E 107 + +--S 108 of 500 +a0221:= integrate(t0221,x) +--R +--R +--R (74) +--R - +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 + 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R * +--R log +--R +---------+ 2 +--R | +-+ +--R |3\|2 + 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (4\|2 - 4) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (128\|2 - 256)sinh(x) + (256\|2 - 512)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (128\|2 - 256)cosh(x) - 128\|2 + 256 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R |3\|2 + 4 |4\|2 + 4 \| 4096\|2 +--R |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ 2 +--R | +-+ +--R |3\|2 + 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (4\|2 - 4) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (- 2\|2 + 4)sinh(x) + (- 4\|2 + 8)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 + 4)cosh(x) - 6\|2 + 12 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 + 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + 2\|2 - 4)sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + (4\|2 - 8)cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 - 4)cosh(x) + 5\|2 - 4 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 + 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R * +--R log +--R +---------+ 2 +--R | +-+ +--R |3\|2 + 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (4\|2 - 4) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (- 128\|2 + 256)sinh(x) + (- 256\|2 + 512)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 128\|2 + 256)cosh(x) + 128\|2 - 256 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R |3\|2 + 4 |4\|2 + 4 \| 4096\|2 +--R |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ 2 +--R | +-+ +--R |3\|2 + 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (4\|2 - 4) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (2\|2 - 4)sinh(x) + (4\|2 - 8)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 - 4)cosh(x) + 6\|2 - 12 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 + 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + 2\|2 - 4)sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + (4\|2 - 8)cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 - 4)cosh(x) + 5\|2 - 4 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 - 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R * +--R log +--R +---------+ 2 +--R | +-+ +--R |3\|2 - 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (4\|2 + 4) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (128\|2 + 256)sinh(x) + (256\|2 + 512)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (128\|2 + 256)cosh(x) - 128\|2 - 256 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R |3\|2 - 4 |4\|2 - 4 \| 4096\|2 +--R |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ 2 +--R | +-+ +--R |3\|2 - 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (4\|2 + 4) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (- 2\|2 - 4)sinh(x) + (- 4\|2 - 8)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 - 4)cosh(x) - 6\|2 - 12 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 - 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + 2\|2 + 4)sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + (4\|2 + 8)cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 + 4)cosh(x) + 5\|2 + 4 +--R + +--R - +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 - 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R * +--R log +--R +---------+ 2 +--R | +-+ +--R |3\|2 - 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (4\|2 + 4) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (- 128\|2 - 256)sinh(x) + (- 256\|2 - 512)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 128\|2 - 256)cosh(x) + 128\|2 + 256 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R |3\|2 - 4 |4\|2 - 4 \| 4096\|2 +--R |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ 2 +--R | +-+ +--R |3\|2 - 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (4\|2 + 4) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (2\|2 + 4)sinh(x) + (4\|2 + 8)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 + 4)cosh(x) + 6\|2 + 12 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 - 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + 2\|2 + 4)sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + (4\|2 + 8)cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 + 4)cosh(x) + 5\|2 + 4 +--R + +--R - +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 - 4 \| 4096\|2 +--R 2 |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R * +--R atan +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (\|2 + 2) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +---------+ +---------+ +--R | +-+ | +-+ +--R +-+ |3\|2 - 4 |4\|2 - 4 +--R (64\|2 + 128) |--------- |--------- +--R | +-+ 4| +-+ +--R \| 4096\|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R atan(64 |--------- ) +--R | +-+ +--R \| 4096\|2 +--R cos(--------------------) +--R 2 +--R + +--R +---------+ +--R | +-+ +--R +-+ |3\|2 - 4 +--R (128\|2 + 128) |--------- +--R | +-+ +--R \| 4096\|2 +--R / +--R +---------+ +---------+ +--R | +-+ | +-+ +--R +-+ |3\|2 - 4 |4\|2 - 4 +--R (64\|2 + 128) |--------- |--------- +--R | +-+ 4| +-+ +--R \| 4096\|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R atan(64 |--------- ) +--R | +-+ +--R \| 4096\|2 +--R sin(--------------------) +--R 2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (- \|2 - 2) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R - \|2 sinh(x) - 2\|2 cosh(x)sinh(x) - \|2 cosh(x) - \|2 - 2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 - 4 \| 4096\|2 +--R 2 |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R * +--R atan +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (\|2 + 2) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |3\|2 - 4 |4\|2 - 4 \| 4096\|2 +--R (64\|2 + 128) |--------- |--------- cos(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ +--R | +-+ +--R +-+ |3\|2 - 4 +--R (- 128\|2 - 128) |--------- +--R | +-+ +--R \| 4096\|2 +--R / +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |3\|2 - 4 |4\|2 - 4 \| 4096\|2 +--R (64\|2 + 128) |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +-+ 2 +--R (- \|2 - 2) |--------- cos(-------------------- + \|2 sinh(x) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ +-+ 2 +-+ +--R 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 + 2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 + 4 \| 4096\|2 +--R 2 |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R * +--R atan +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (\|2 - 2) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |3\|2 + 4 |4\|2 + 4 \| 4096\|2 +--R (64\|2 - 128) |--------- |--------- cos(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ +--R | +-+ +--R +-+ |3\|2 + 4 +--R (128\|2 - 128) |--------- +--R | +-+ +--R \| 4096\|2 +--R / +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |3\|2 + 4 |4\|2 + 4 \| 4096\|2 +--R (64\|2 - 128) |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +-+ 2 +--R (- \|2 + 2) |--------- cos(-------------------- - \|2 sinh(x) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ +-+ 2 +-+ +--R - 2\|2 cosh(x)sinh(x) - \|2 cosh(x) - \|2 + 2 +--R + +--R - +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 + 4 \| 4096\|2 +--R 2 |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R * +--R atan +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (\|2 - 2) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +---------+ +---------+ +--R | +-+ | +-+ +--R +-+ |3\|2 + 4 |4\|2 + 4 +--R (64\|2 - 128) |--------- |--------- +--R | +-+ 4| +-+ +--R \| 4096\|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R atan(64 |--------- ) +--R | +-+ +--R \| 4096\|2 +--R cos(--------------------) +--R 2 +--R + +--R +---------+ +--R | +-+ +--R +-+ |3\|2 + 4 +--R (- 128\|2 + 128) |--------- +--R | +-+ +--R \| 4096\|2 +--R / +--R +---------+ +---------+ +--R | +-+ | +-+ +--R +-+ |3\|2 + 4 |4\|2 + 4 +--R (64\|2 - 128) |--------- |--------- +--R | +-+ 4| +-+ +--R \| 4096\|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R atan(64 |--------- ) +--R | +-+ +--R \| 4096\|2 +--R sin(--------------------) +--R 2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (- \|2 + 2) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 - 2 +--R / +--R +-+ +--R 8\|2 +--R Type: Union(Expression Integer,...) +--E 108 + +--S 109 of 500 +m0221:= a0221-r0221 +--R +--R +--R (75) +--R - +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +-----------------+ +---------+ atan(64 |--------- ) +--R | +-+ +---+ | +-+ | +-+ +--R |\|2 + \|- 1 + 1 |4\|2 + 4 \| 4096\|2 +--R |----------------- |--------- cos(--------------------) +--R | +-+ 4| +-+ 2 +--R \| \|2 \| \|2 +--R * +--R log +--R +---------+ 2 +--R | +-+ +--R |3\|2 + 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (4\|2 - 4) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (128\|2 - 256)sinh(x) + (256\|2 - 512)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (128\|2 - 256)cosh(x) - 128\|2 + 256 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R |3\|2 + 4 |4\|2 + 4 \| 4096\|2 +--R |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ 2 +--R | +-+ +--R |3\|2 + 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (4\|2 - 4) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (- 2\|2 + 4)sinh(x) + (- 4\|2 + 8)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 + 4)cosh(x) - 6\|2 + 12 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 + 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + 2\|2 - 4)sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + (4\|2 - 8)cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 - 4)cosh(x) + 5\|2 - 4 +--R + +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +-----------------+ +---------+ atan(64 |--------- ) +--R | +-+ +---+ | +-+ | +-+ +--R |\|2 + \|- 1 + 1 |4\|2 + 4 \| 4096\|2 +--R |----------------- |--------- cos(--------------------) +--R | +-+ 4| +-+ 2 +--R \| \|2 \| \|2 +--R * +--R log +--R +---------+ 2 +--R | +-+ +--R |3\|2 + 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (4\|2 - 4) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (- 128\|2 + 256)sinh(x) + (- 256\|2 + 512)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 128\|2 + 256)cosh(x) + 128\|2 - 256 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R |3\|2 + 4 |4\|2 + 4 \| 4096\|2 +--R |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ 2 +--R | +-+ +--R |3\|2 + 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (4\|2 - 4) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (2\|2 - 4)sinh(x) + (4\|2 - 8)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 - 4)cosh(x) + 6\|2 - 12 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 + 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + 2\|2 - 4)sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + (4\|2 - 8)cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 - 4)cosh(x) + 5\|2 - 4 +--R + +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +-----------------+ +---------+ atan(64 |--------- ) +--R | +-+ +---+ | +-+ | +-+ +--R |\|2 + \|- 1 + 1 |4\|2 - 4 \| 4096\|2 +--R |----------------- |--------- cos(--------------------) +--R | +-+ 4| +-+ 2 +--R \| \|2 \| \|2 +--R * +--R log +--R +---------+ 2 +--R | +-+ +--R |3\|2 - 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (4\|2 + 4) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (128\|2 + 256)sinh(x) + (256\|2 + 512)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (128\|2 + 256)cosh(x) - 128\|2 - 256 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R |3\|2 - 4 |4\|2 - 4 \| 4096\|2 +--R |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ 2 +--R | +-+ +--R |3\|2 - 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (4\|2 + 4) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (- 2\|2 - 4)sinh(x) + (- 4\|2 - 8)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 2\|2 - 4)cosh(x) - 6\|2 - 12 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 - 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + 2\|2 + 4)sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + (4\|2 + 8)cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 + 4)cosh(x) + 5\|2 + 4 +--R + +--R - +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +-----------------+ +---------+ atan(64 |--------- ) +--R | +-+ +---+ | +-+ | +-+ +--R |\|2 + \|- 1 + 1 |4\|2 - 4 \| 4096\|2 +--R |----------------- |--------- cos(--------------------) +--R | +-+ 4| +-+ 2 +--R \| \|2 \| \|2 +--R * +--R log +--R +---------+ 2 +--R | +-+ +--R |3\|2 - 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (4\|2 + 4) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (- 128\|2 - 256)sinh(x) + (- 256\|2 - 512)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 128\|2 - 256)cosh(x) + 128\|2 + 256 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R |3\|2 - 4 |4\|2 - 4 \| 4096\|2 +--R |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ 2 +--R | +-+ +--R |3\|2 - 4 +--R +---------+2 atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (4\|2 + 4) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +--R (2\|2 + 4)sinh(x) + (4\|2 + 8)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 + 4)cosh(x) + 6\|2 + 12 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R |4\|2 - 4 \| 4096\|2 +--R |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 4 +-+ 3 +--R \|2 sinh(x) + 4\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (6\|2 cosh(x) + 2\|2 + 4)sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (4\|2 cosh(x) + (4\|2 + 8)cosh(x))sinh(x) + \|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (2\|2 + 4)cosh(x) + 5\|2 + 4 +--R + +--R - +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R 2 |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +-----------------+ +---------+ atan(64 |--------- ) +--R | +-+ +---+ | +-+ | +-+ +--R |\|2 + \|- 1 + 1 |4\|2 - 4 \| 4096\|2 +--R |----------------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| \|2 \| \|2 +--R * +--R atan +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (\|2 + 2) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +---------+ +---------+ +--R | +-+ | +-+ +--R +-+ |3\|2 - 4 |4\|2 - 4 +--R (64\|2 + 128) |--------- |--------- +--R | +-+ 4| +-+ +--R \| 4096\|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R atan(64 |--------- ) +--R | +-+ +--R \| 4096\|2 +--R cos(--------------------) +--R 2 +--R + +--R +---------+ +--R | +-+ +--R +-+ |3\|2 - 4 +--R (128\|2 + 128) |--------- +--R | +-+ +--R \| 4096\|2 +--R / +--R +---------+ +---------+ +--R | +-+ | +-+ +--R +-+ |3\|2 - 4 |4\|2 - 4 +--R (64\|2 + 128) |--------- |--------- +--R | +-+ 4| +-+ +--R \| 4096\|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R atan(64 |--------- ) +--R | +-+ +--R \| 4096\|2 +--R sin(--------------------) +--R 2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (- \|2 - 2) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R - \|2 sinh(x) - 2\|2 cosh(x)sinh(x) - \|2 cosh(x) - \|2 - 2 +--R + +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R 2 |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +-----------------+ +---------+ atan(64 |--------- ) +--R | +-+ +---+ | +-+ | +-+ +--R |\|2 + \|- 1 + 1 |4\|2 - 4 \| 4096\|2 +--R |----------------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| \|2 \| \|2 +--R * +--R atan +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +--R (\|2 + 2) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |3\|2 - 4 |4\|2 - 4 \| 4096\|2 +--R (64\|2 + 128) |--------- |--------- cos(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ +--R | +-+ +--R +-+ |3\|2 - 4 +--R (- 128\|2 - 128) |--------- +--R | +-+ +--R \| 4096\|2 +--R / +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |3\|2 - 4 |4\|2 - 4 \| 4096\|2 +--R (64\|2 + 128) |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 - 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 - 4 \| 4096\|2 +-+ 2 +--R (- \|2 - 2) |--------- cos(-------------------- + \|2 sinh(x) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ +-+ 2 +-+ +--R 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 + 2 +--R + +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R 2 |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +-----------------+ +---------+ atan(64 |--------- ) +--R | +-+ +---+ | +-+ | +-+ +--R |\|2 + \|- 1 + 1 |4\|2 + 4 \| 4096\|2 +--R |----------------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| \|2 \| \|2 +--R * +--R atan +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (\|2 - 2) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |3\|2 + 4 |4\|2 + 4 \| 4096\|2 +--R (64\|2 - 128) |--------- |--------- cos(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ +--R | +-+ +--R +-+ |3\|2 + 4 +--R (128\|2 - 128) |--------- +--R | +-+ +--R \| 4096\|2 +--R / +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ +---------+ atan(64 |--------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |3\|2 + 4 |4\|2 + 4 \| 4096\|2 +--R (64\|2 - 128) |--------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| 4096\|2 \| \|2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +-+ 2 +--R (- \|2 + 2) |--------- cos(-------------------- - \|2 sinh(x) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ +-+ 2 +-+ +--R - 2\|2 cosh(x)sinh(x) - \|2 cosh(x) - \|2 + 2 +--R + +--R - +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R 2 |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +-----------------+ +---------+ atan(64 |--------- ) +--R | +-+ +---+ | +-+ | +-+ +--R |\|2 + \|- 1 + 1 |4\|2 + 4 \| 4096\|2 +--R |----------------- |--------- sin(--------------------) +--R | +-+ 4| +-+ 2 +--R \| \|2 \| \|2 +--R * +--R atan +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (\|2 - 2) |--------- sin(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +---------+ +---------+ +--R | +-+ | +-+ +--R +-+ |3\|2 + 4 |4\|2 + 4 +--R (64\|2 - 128) |--------- |--------- +--R | +-+ 4| +-+ +--R \| 4096\|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R atan(64 |--------- ) +--R | +-+ +--R \| 4096\|2 +--R cos(--------------------) +--R 2 +--R + +--R +---------+ +--R | +-+ +--R +-+ |3\|2 + 4 +--R (- 128\|2 + 128) |--------- +--R | +-+ +--R \| 4096\|2 +--R / +--R +---------+ +---------+ +--R | +-+ | +-+ +--R +-+ |3\|2 + 4 |4\|2 + 4 +--R (64\|2 - 128) |--------- |--------- +--R | +-+ 4| +-+ +--R \| 4096\|2 \| \|2 +--R * +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R atan(64 |--------- ) +--R | +-+ +--R \| 4096\|2 +--R sin(--------------------) +--R 2 +--R + +--R +---------+ +--R | +-+ +--R |3\|2 + 4 +--R +---------+ atan(64 |--------- ) +--R | +-+ | +-+ +--R +-+ |4\|2 + 4 \| 4096\|2 +--R (- \|2 + 2) |--------- cos(--------------------) +--R 4| +-+ 2 +--R \| \|2 +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + \|2 cosh(x) + \|2 - 2 +--R + +--R - +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R +-+ |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 |\|2 + \|- 1 + 1 +--R 2\|2 |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R tanh(x) +--R atanh(--------------------) +--R +-----------------+ +--R | +-+ +---+ +--R |\|2 - \|- 1 - 1 +--R |----------------- +--R | +-+ +--R \| \|2 +--R + +--R - +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R +-+ |\|2 - \|- 1 - 1 |\|2 + \|- 1 - 1 |\|2 + \|- 1 + 1 +--R 2\|2 |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R tanh(x) +--R atanh(--------------------) +--R +-----------------+ +--R | +-+ +---+ +--R |\|2 - \|- 1 + 1 +--R |----------------- +--R | +-+ +--R \| \|2 +--R + +--R - +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R +-+ |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 + 1 +--R 2\|2 |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R tanh(x) +--R atanh(--------------------) +--R +-----------------+ +--R | +-+ +---+ +--R |\|2 + \|- 1 - 1 +--R |----------------- +--R | +-+ +--R \| \|2 +--R + +--R - +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R +-+ |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R 2\|2 |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R tanh(x) +--R atanh(--------------------) +--R +-----------------+ +--R | +-+ +---+ +--R |\|2 + \|- 1 + 1 +--R |----------------- +--R | +-+ +--R \| \|2 +--R / +--R +-----------------+ +-----------------+ +-----------------+ +--R | +-+ +---+ | +-+ +---+ | +-+ +---+ +--R +-+ |\|2 - \|- 1 - 1 |\|2 - \|- 1 + 1 |\|2 + \|- 1 - 1 +--R 8\|2 |----------------- |----------------- |----------------- +--R | +-+ | +-+ | +-+ +--R \| \|2 \| \|2 \| \|2 +--R * +--R +-----------------+ +--R | +-+ +---+ +--R |\|2 + \|- 1 + 1 +--R |----------------- +--R | +-+ +--R \| \|2 +--R Type: Expression Integer +--E 109 + +--S 110 of 500 +--d0221:= D(m0221,x) +--E 110 + +--S 111 of 500 +t0222:= 1/(1-cosh(x)^3) +--R +--R +--R 1 +--R (76) - ------------ +--R 3 +--R cosh(x) - 1 +--R Type: Expression Integer +--E 111 + +--S 112 of 500 +r0222:= 2/3*atanh((1-(-1)^(1/3))*tanh(1/2*x)/(1-(-1)^(2/3))^(1/2))/_ + (1-(-1)^(2/3))^(1/2)+2/3*atanh((1+(-1)^(2/3))*tanh(1/2*x)/_ + (1+(-1)^(1/3))^(1/2))/(1+(-1)^(1/3))^(1/2)-sinh(x)/(3-3*cosh(x)) +--R +--R +--R (77) +--R 3+---+ x +--R +----------+ (\|- 1 - 1)tanh(-) +--R |3+---+ 2 +--R (- 2cosh(x) + 2)\|\|- 1 + 1 atanh(-------------------) +--R +-------------+ +--R | 3+---+2 +--R \|- \|- 1 + 1 +--R + +--R 3+---+2 x +--R +-------------+ (\|- 1 + 1)tanh(-) +--R | 3+---+2 2 +--R (2cosh(x) - 2)\|- \|- 1 + 1 atanh(--------------------) +--R +----------+ +--R |3+---+ +--R \|\|- 1 + 1 +--R + +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R sinh(x)\|- \|- 1 + 1 \|\|- 1 + 1 +--R / +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R (3cosh(x) - 3)\|- \|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 112 + +--S 113 of 500 +a0222:= integrate(t0222,x) +--R +--R +--R (78) +--R %pi %pi %pi +--R (- cos(---)sinh(x) - cos(---)cosh(x) + cos(---)) +--R 12 12 12 +--R * +--R log +--R 4+-+2 2 +-+4+-+ %pi 4+-+2 4+-+2 +--R \|3 sinh(x) + (2\|3 \|3 sin(---) + 2\|3 cosh(x) + \|3 )sinh(x) +--R 12 +--R + +--R %pi 2 +-+4+-+ +-+4+-+ %pi 4+-+2 2 +--R 3sin(---) + (2\|3 \|3 cosh(x) + \|3 \|3 )sin(---) + \|3 cosh(x) +--R 12 12 +--R + +--R 4+-+2 %pi 2 4+-+ %pi 4+-+2 +--R \|3 cosh(x) + 3cos(---) + 3\|3 cos(---) + \|3 +--R 12 12 +--R + +--R %pi %pi %pi +--R (cos(---)sinh(x) + cos(---)cosh(x) - cos(---)) +--R 12 12 12 +--R * +--R log +--R 4+-+2 2 +--R \|3 sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 4+-+2 %pi 2 +--R (- 2\|3 \|3 sin(---) + 2\|3 cosh(x) + \|3 )sinh(x) + 3sin(---) +--R 12 12 +--R + +--R +-+4+-+ +-+4+-+ %pi 4+-+2 2 +--R (- 2\|3 \|3 cosh(x) - \|3 \|3 )sin(---) + \|3 cosh(x) +--R 12 +--R + +--R 4+-+2 %pi 2 4+-+ %pi 4+-+2 +--R \|3 cosh(x) + 3cos(---) - 3\|3 cos(---) + \|3 +--R 12 12 +--R + +--R %pi %pi +--R (- 2sin(---)sinh(x) + (- 2cosh(x) + 2)sin(---)) +--R 12 12 +--R * +--R %pi 4+-+ +--R 6cos(---) + 3\|3 +--R 12 +--R atan(----------------------------------------------------------) +--R +-+4+-+ %pi +-+4+-+ +-+4+-+ +--R 2\|3 \|3 sinh(x) + 6sin(---) + 2\|3 \|3 cosh(x) + \|3 \|3 +--R 12 +--R + +--R %pi %pi +--R (- 2sin(---)sinh(x) + (- 2cosh(x) + 2)sin(---)) +--R 12 12 +--R * +--R %pi 4+-+ +--R 6cos(---) - 3\|3 +--R 12 +--R atan(----------------------------------------------------------) +--R +-+4+-+ %pi +-+4+-+ +-+4+-+ +--R 2\|3 \|3 sinh(x) - 6sin(---) + 2\|3 \|3 cosh(x) + \|3 \|3 +--R 12 +--R + +--R 4+-+ +--R 2\|3 +--R / +--R 4+-+ 4+-+ 4+-+ +--R 3\|3 sinh(x) + 3\|3 cosh(x) - 3\|3 +--R Type: Union(Expression Integer,...) +--E 113 + +--S 114 of 500 +m0222:= a0222-r0222 +--R +--R +--R (79) +--R %pi %pi %pi 2 +--R (- cos(---)cosh(x) + cos(---))sinh(x) - cos(---)cosh(x) +--R 12 12 12 +--R + +--R %pi %pi +--R 2cos(---)cosh(x) - cos(---) +--R 12 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R log +--R 4+-+2 2 +-+4+-+ %pi 4+-+2 4+-+2 +--R \|3 sinh(x) + (2\|3 \|3 sin(---) + 2\|3 cosh(x) + \|3 )sinh(x) +--R 12 +--R + +--R %pi 2 +-+4+-+ +-+4+-+ %pi 4+-+2 2 +--R 3sin(---) + (2\|3 \|3 cosh(x) + \|3 \|3 )sin(---) + \|3 cosh(x) +--R 12 12 +--R + +--R 4+-+2 %pi 2 4+-+ %pi 4+-+2 +--R \|3 cosh(x) + 3cos(---) + 3\|3 cos(---) + \|3 +--R 12 12 +--R + +--R %pi %pi %pi 2 +--R (cos(---)cosh(x) - cos(---))sinh(x) + cos(---)cosh(x) +--R 12 12 12 +--R + +--R %pi %pi +--R - 2cos(---)cosh(x) + cos(---) +--R 12 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R log +--R 4+-+2 2 +--R \|3 sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 4+-+2 %pi 2 +--R (- 2\|3 \|3 sin(---) + 2\|3 cosh(x) + \|3 )sinh(x) + 3sin(---) +--R 12 12 +--R + +--R +-+4+-+ +-+4+-+ %pi 4+-+2 2 +--R (- 2\|3 \|3 cosh(x) - \|3 \|3 )sin(---) + \|3 cosh(x) +--R 12 +--R + +--R 4+-+2 %pi 2 4+-+ %pi 4+-+2 +--R \|3 cosh(x) + 3cos(---) - 3\|3 cos(---) + \|3 +--R 12 12 +--R + +--R 4+-+ 4+-+ 4+-+ 2 4+-+ 4+-+ +--R ((2\|3 cosh(x) - 2\|3 )sinh(x) + 2\|3 cosh(x) - 4\|3 cosh(x) + 2\|3 ) +--R * +--R 3+---+ x +--R +----------+ (\|- 1 - 1)tanh(-) +--R |3+---+ 2 +--R \|\|- 1 + 1 atanh(-------------------) +--R +-------------+ +--R | 3+---+2 +--R \|- \|- 1 + 1 +--R + +--R 4+-+ 4+-+ 4+-+ 2 4+-+ +--R (- 2\|3 cosh(x) + 2\|3 )sinh(x) - 2\|3 cosh(x) + 4\|3 cosh(x) +--R + +--R 4+-+ +--R - 2\|3 +--R * +--R 3+---+2 x +--R +-------------+ (\|- 1 + 1)tanh(-) +--R | 3+---+2 2 +--R \|- \|- 1 + 1 atanh(--------------------) +--R +----------+ +--R |3+---+ +--R \|\|- 1 + 1 +--R + +--R %pi +--R (- 2cosh(x) + 2)sin(---)sinh(x) +--R 12 +--R + +--R 2 %pi +--R (- 2cosh(x) + 4cosh(x) - 2)sin(---) +--R 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R %pi 4+-+ +--R 6cos(---) + 3\|3 +--R 12 +--R atan(----------------------------------------------------------) +--R +-+4+-+ %pi +-+4+-+ +-+4+-+ +--R 2\|3 \|3 sinh(x) + 6sin(---) + 2\|3 \|3 cosh(x) + \|3 \|3 +--R 12 +--R + +--R %pi +--R (- 2cosh(x) + 2)sin(---)sinh(x) +--R 12 +--R + +--R 2 %pi +--R (- 2cosh(x) + 4cosh(x) - 2)sin(---) +--R 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R %pi 4+-+ +--R 6cos(---) - 3\|3 +--R 12 +--R atan(----------------------------------------------------------) +--R +-+4+-+ %pi +-+4+-+ +-+4+-+ +--R 2\|3 \|3 sinh(x) - 6sin(---) + 2\|3 \|3 cosh(x) + \|3 \|3 +--R 12 +--R + +--R 4+-+ 2 4+-+ 4+-+ 4+-+ 4+-+ +--R (- \|3 sinh(x) + (- \|3 cosh(x) + \|3 )sinh(x) + 2\|3 cosh(x) - 2\|3 ) +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R / +--R 4+-+ 4+-+ 4+-+ 2 4+-+ 4+-+ +--R ((3\|3 cosh(x) - 3\|3 )sinh(x) + 3\|3 cosh(x) - 6\|3 cosh(x) + 3\|3 ) +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 114 + +--S 115 of 500 +--d0222:= D(m0222,x) +--E 115 + +--S 116 of 500 +t0223:= 1/(1-cosh(x)^4) +--R +--R +--R 1 +--R (80) - ------------ +--R 4 +--R cosh(x) - 1 +--R Type: Expression Integer +--E 116 + +--S 117 of 500 +r0223:= 1/4*atanh(1/2*2^(1/2)*tanh(x))*2^(1/2)+1/2*coth(x) +--R +--R +--R +-+ +--R +-+ \|2 tanh(x) +--R \|2 atanh(-----------) + 2coth(x) +--R 2 +--R (81) --------------------------------- +--R 4 +--R Type: Expression Integer +--E 117 + +--S 118 of 500 +a0223:= integrate(t0223,x) +--R +--R +--R (82) +--R 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1) +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) + 3\|2 - 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R + +--R +-+ +--R 4\|2 +--R / +--R +-+ 2 +-+ +-+ 2 +-+ +--R 4\|2 sinh(x) + 8\|2 cosh(x)sinh(x) + 4\|2 cosh(x) - 4\|2 +--R Type: Union(Expression Integer,...) +--E 118 + +--S 119 of 500 +m0223:= a0223-r0223 +--R +--R +--R (83) +--R 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1) +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) + 3\|2 - 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R + +--R +-+ +--R 2 2 \|2 tanh(x) +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) + 2)atanh(-----------) +--R 2 +--R + +--R +-+ 2 +-+ +--R - 2\|2 coth(x)sinh(x) - 4\|2 cosh(x)coth(x)sinh(x) +--R + +--R +-+ 2 +-+ +-+ +--R (- 2\|2 cosh(x) + 2\|2 )coth(x) + 4\|2 +--R / +--R +-+ 2 +-+ +-+ 2 +-+ +--R 4\|2 sinh(x) + 8\|2 cosh(x)sinh(x) + 4\|2 cosh(x) - 4\|2 +--R Type: Expression Integer +--E 119 + +--S 120 of 500 +d0223:= D(m0223,x) +--R +--R +--R (84) +--R +-+ 2 +-+ 8 +--R ((9\|2 - 12)coth(x) - 12\|2 + 16)sinh(x) +--R + +--R +-+ 2 +-+ 7 +--R ((20\|2 - 24)cosh(x)coth(x) + (- 16\|2 + 16)cosh(x))sinh(x) +--R + +--R +-+ 2 +-+ 2 +-+ 2 +--R (8\|2 cosh(x) + 12\|2 - 16)coth(x) + (8\|2 - 32)cosh(x) +--R + +--R +-+ +--R - 54\|2 + 72 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 3 +-+ 2 +--R ((- 4\|2 + 24)cosh(x) + (68\|2 - 88)cosh(x))coth(x) +--R + +--R +-+ 3 +-+ +--R (- 16\|2 - 16)cosh(x) + (- 128\|2 + 160)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((- 2\|2 + 24)cosh(x) + (28\|2 - 16)cosh(x) - 42\|2 + 56) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 56\|2 + 32)cosh(x) + (- 26\|2 - 8)cosh(x) - 66\|2 + 88 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 4\|2 + 24)cosh(x) + (- 56\|2 + 112)cosh(x) +--R + +--R +-+ +--R (- 4\|2 - 8)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 16\|2 - 16)cosh(x) + (96\|2 - 192)cosh(x) +--R + +--R +-+ +--R (- 48\|2 + 48)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R 8\|2 cosh(x) + (28\|2 - 16)cosh(x) +--R + +--R +-+ 2 +-+ +--R (144\|2 - 224)cosh(x) + 12\|2 - 16 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 6 +-+ 4 +--R (8\|2 - 32)cosh(x) + (- 26\|2 - 8)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 100\|2 + 112)cosh(x) - 42\|2 + 56 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (20\|2 - 24)cosh(x) + (68\|2 - 88)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 4\|2 - 8)cosh(x) + (- 84\|2 + 120)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 16\|2 + 16)cosh(x) + (- 128\|2 + 160)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 48\|2 + 48)cosh(x) + (64\|2 - 96)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (9\|2 - 12)cosh(x) + (12\|2 - 16)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 42\|2 + 56)cosh(x) + (12\|2 - 16)cosh(x) + 9\|2 - 12 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 12\|2 + 16)cosh(x) + (- 54\|2 + 72)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 66\|2 + 88)cosh(x) + (- 42\|2 + 56)cosh(x) - 18\|2 + 24 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 2 +-+ 8 +--R ((- 18\|2 + 24)coth(x) + 15\|2 - 20)sinh(x) +--R + +--R +-+ 2 +-+ 7 +--R ((- 40\|2 + 48)cosh(x)coth(x) + (12\|2 - 8)cosh(x))sinh(x) +--R + +--R +-+ 2 +-+ 2 +-+ 2 +--R (- 16\|2 cosh(x) - 24\|2 + 32)coth(x) + (- 24\|2 + 64)cosh(x) +--R + +--R +-+ +--R 96\|2 - 128 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 3 +-+ 2 +--R ((8\|2 - 48)cosh(x) + (- 136\|2 + 176)cosh(x))coth(x) +--R + +--R +-+ 3 +-+ +--R (36\|2 + 8)cosh(x) + (188\|2 - 232)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((4\|2 - 48)cosh(x) + (- 56\|2 + 32)cosh(x) + 84\|2 - 112) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (114\|2 - 88)cosh(x) + (24\|2 + 32)cosh(x) + 174\|2 - 232 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (8\|2 - 48)cosh(x) + (112\|2 - 224)cosh(x) +--R + +--R +-+ +--R (8\|2 + 16)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 5 +-+ 3 +--R (36\|2 + 8)cosh(x) + (- 136\|2 + 272)cosh(x) +--R + +--R +-+ +--R (100\|2 - 88)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R - 16\|2 cosh(x) + (- 56\|2 + 32)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 288\|2 + 448)cosh(x) - 24\|2 + 32 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R (- 24\|2 + 64)cosh(x) + (24\|2 + 32)cosh(x) + 56\|2 cosh(x) +--R + +--R +-+ +--R 72\|2 - 96 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 40\|2 + 48)cosh(x) + (- 136\|2 + 176)cosh(x) +--R + +--R +-+ 3 +-+ +--R (8\|2 + 16)cosh(x) + (168\|2 - 240)cosh(x) +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 7 +-+ 5 +--R (12\|2 - 8)cosh(x) + (188\|2 - 232)cosh(x) +--R + +--R +-+ 3 +-+ +--R (100\|2 - 88)cosh(x) + (- 44\|2 + 72)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 18\|2 + 24)cosh(x) + (- 24\|2 + 32)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (84\|2 - 112)cosh(x) + (- 24\|2 + 32)cosh(x) - 18\|2 + 24 +--R * +--R 2 +--R coth(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R (15\|2 - 20)cosh(x) + (96\|2 - 128)cosh(x) + (174\|2 - 232)cosh(x) +--R + +--R +-+ 2 +-+ +--R (72\|2 - 96)cosh(x) + 27\|2 - 36 +--R / +--R +-+ 8 +-+ 7 +--R (18\|2 - 24)sinh(x) + (40\|2 - 48)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (16\|2 cosh(x) + 24\|2 - 32)sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R ((- 8\|2 + 48)cosh(x) + (136\|2 - 176)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((- 4\|2 + 48)cosh(x) + (56\|2 - 32)cosh(x) - 84\|2 + 112) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 8\|2 + 48)cosh(x) + (- 112\|2 + 224)cosh(x) +--R + +--R +-+ +--R (- 8\|2 - 16)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 16\|2 cosh(x) + (56\|2 - 32)cosh(x) + (288\|2 - 448)cosh(x) +--R + +--R +-+ +--R 24\|2 - 32 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (40\|2 - 48)cosh(x) + (136\|2 - 176)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 8\|2 - 16)cosh(x) + (- 168\|2 + 240)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (18\|2 - 24)cosh(x) + (24\|2 - 32)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 84\|2 + 112)cosh(x) + (24\|2 - 32)cosh(x) + 18\|2 - 24 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R (- 36\|2 + 48)sinh(x) + (- 80\|2 + 96)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 6 +--R (- 32\|2 cosh(x) - 48\|2 + 64)sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R ((16\|2 - 96)cosh(x) + (- 272\|2 + 352)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R ((8\|2 - 96)cosh(x) + (- 112\|2 + 64)cosh(x) + 168\|2 - 224)sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (16\|2 - 96)cosh(x) + (224\|2 - 448)cosh(x) +--R + +--R +-+ +--R (16\|2 + 32)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R - 32\|2 cosh(x) + (- 112\|2 + 64)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 576\|2 + 896)cosh(x) - 48\|2 + 64 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 80\|2 + 96)cosh(x) + (- 272\|2 + 352)cosh(x) +--R + +--R +-+ 3 +-+ +--R (16\|2 + 32)cosh(x) + (336\|2 - 480)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 36\|2 + 48)cosh(x) + (- 48\|2 + 64)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (168\|2 - 224)cosh(x) + (- 48\|2 + 64)cosh(x) - 36\|2 + 48 +--R Type: Expression Integer +--E 120 + +--S 121 of 500 +t0224:= 1/(1-cosh(x)^5) +--R +--R +--R 1 +--R (85) - ------------ +--R 5 +--R cosh(x) - 1 +--R Type: Expression Integer +--E 121 + +--S 122 of 500 +r0224:= 2/5*atanh((1-(-1)^(1/5))*_ + tanh(1/2*x)/(1-(-1)^(2/5))^(1/2))/(1-(-1)^(2/5))^(1/2)+2/5*_ + atanh((1-(-1)^(3/5))*_ + tanh(1/2*x)/(1+(-1)^(1/5))^(1/2))/(1+(-1)^(1/5))^(1/2)+2/5*_ + atanh((1+(-1)^(2/5))*_ + tanh(1/2*x)/(1-(-1)^(4/5))^(1/2))/(1-(-1)^(4/5))^(1/2)+2/5*_ + atanh((1+(-1)^(4/5))*_ + tanh(1/2*x)/(1+(-1)^(3/5))^(1/2))/(1+(-1)^(3/5))^(1/2)-_ + sinh(x)/(5-5*cosh(x)) +--R +--R +--R (86) +--R +-------------+ +----------+ +-----------+ +--R | 5+---+2 |5+---+ |5+---+3 +--R (2cosh(x) - 2)\|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R * +--R 5+---+2 x +--R (\|- 1 + 1)tanh(-) +--R 2 +--R atanh(--------------------) +--R +-------------+ +--R | 5+---+4 +--R \|- \|- 1 + 1 +--R + +--R +-------------+ +----------+ +-----------+ +--R | 5+---+4 |5+---+ |5+---+3 +--R (- 2cosh(x) + 2)\|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R * +--R 5+---+ x +--R (\|- 1 - 1)tanh(-) +--R 2 +--R atanh(-------------------) +--R +-------------+ +--R | 5+---+2 +--R \|- \|- 1 + 1 +--R + +--R +-------------+ +-------------+ +-----------+ +--R | 5+---+4 | 5+---+2 |5+---+3 +--R (- 2cosh(x) + 2)\|- \|- 1 + 1 \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R 5+---+3 x +--R (\|- 1 - 1)tanh(-) +--R 2 +--R atanh(--------------------) +--R +----------+ +--R |5+---+ +--R \|\|- 1 + 1 +--R + +--R +-------------+ +-------------+ +----------+ +--R | 5+---+4 | 5+---+2 |5+---+ +--R (2cosh(x) - 2)\|- \|- 1 + 1 \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R 5+---+4 x +--R (\|- 1 + 1)tanh(-) +--R 2 +--R atanh(--------------------) +--R +-----------+ +--R |5+---+3 +--R \|\|- 1 + 1 +--R + +--R +-------------+ +-------------+ +----------+ +-----------+ +--R | 5+---+4 | 5+---+2 |5+---+ |5+---+3 +--R sinh(x)\|- \|- 1 + 1 \|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R / +--R +-------------+ +-------------+ +----------+ +-----------+ +--R | 5+---+4 | 5+---+2 |5+---+ |5+---+3 +--R (5cosh(x) - 5)\|- \|- 1 + 1 \|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 122 + +--S 123 of 500 +a0224:= integrate(t0224,x) +--R +--R +--R (87) +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 + 8 \| 625\|5 +--R (sinh(x) + cosh(x) - 1) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ +--R (500\|5 - 1500)sinh(x) + (500\|5 - 1500)cosh(x) - 250\|5 +--R + +--R 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (- 10\|5 + 10) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 sinh(x) + (16\|5 cosh(x) + 4\|5 + 20)sinh(x) +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 cosh(x) + (4\|5 + 20)cosh(x) + 8\|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 + 8 \| 625\|5 +--R (- sinh(x) - cosh(x) + 1) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +--R (- 500\|5 + 1500)sinh(x) + (- 500\|5 + 1500)cosh(x) +--R + +--R +-+ +--R 250\|5 - 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +-+ 2 +--R (10\|5 - 10) |--------- cos(------------------- + 8\|5 sinh(x) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ 2 +--R (16\|5 cosh(x) + 4\|5 + 20)sinh(x) + 8\|5 cosh(x) +--R + +--R +-+ +-+ +--R (4\|5 + 20)cosh(x) + 8\|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 - 8 \| 625\|5 +--R (sinh(x) + cosh(x) - 1) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ +--R (500\|5 + 1500)sinh(x) + (500\|5 + 1500)cosh(x) - 250\|5 +--R + +--R - 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (- 10\|5 - 10) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 sinh(x) + (16\|5 cosh(x) + 4\|5 - 20)sinh(x) +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 cosh(x) + (4\|5 - 20)cosh(x) + 8\|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 - 8 \| 625\|5 +--R (- sinh(x) - cosh(x) + 1) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +--R (- 500\|5 - 1500)sinh(x) + (- 500\|5 - 1500)cosh(x) +--R + +--R +-+ +--R 250\|5 + 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +-+ 2 +--R (10\|5 + 10) |--------- cos(------------------- + 8\|5 sinh(x) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ 2 +--R (16\|5 cosh(x) + 4\|5 - 20)sinh(x) + 8\|5 cosh(x) +--R + +--R +-+ +-+ +--R (4\|5 - 20)cosh(x) + 8\|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 - 8 \| 625\|5 +--R (- 2sinh(x) - 2cosh(x) + 2) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 - 2 +--R (125\|5 + 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R - 4\|5 sinh(x) - 4\|5 cosh(x) - \|5 + 5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 - 8 \| 625\|5 +--R (2sinh(x) + 2cosh(x) - 2) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 - 2 +--R (- 125\|5 - 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R 4\|5 sinh(x) + 4\|5 cosh(x) + \|5 - 5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 + 8 \| 625\|5 +--R (- 2sinh(x) - 2cosh(x) + 2) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 + 2 +--R (125\|5 - 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R - 4\|5 sinh(x) - 4\|5 cosh(x) - \|5 - 5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R |8\|5 + 8 \| 625\|5 +--R (2sinh(x) + 2cosh(x) - 2) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 + 2 +--R (- 125\|5 + 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R 4\|5 sinh(x) + 4\|5 cosh(x) + \|5 + 5 +--R + +--R 4 +--R / +--R 10sinh(x) + 10cosh(x) - 10 +--R Type: Union(Expression Integer,...) +--E 123 + +--S 124 of 500 +m0224:= a0224-r0224 +--R +--R +--R (88) +--R +-------------+ +--R 2 | 5+---+4 +--R ((cosh(x) - 1)sinh(x) + cosh(x) - 2cosh(x) + 1)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 + 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R cos(-------------------) +--R 2 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ +--R (500\|5 - 1500)sinh(x) + (500\|5 - 1500)cosh(x) - 250\|5 +--R + +--R 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (- 10\|5 + 10) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 sinh(x) + (16\|5 cosh(x) + 4\|5 + 20)sinh(x) +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 cosh(x) + (4\|5 + 20)cosh(x) + 8\|5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((- cosh(x) + 1)sinh(x) - cosh(x) + 2cosh(x) - 1)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 + 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R cos(-------------------) +--R 2 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +--R (- 500\|5 + 1500)sinh(x) + (- 500\|5 + 1500)cosh(x) +--R + +--R +-+ +--R 250\|5 - 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 + 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +--R (5\|5 - 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 + 8 \| 625\|5 +-+ 2 +--R (10\|5 - 10) |--------- cos(------------------- + 8\|5 sinh(x) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ 2 +--R (16\|5 cosh(x) + 4\|5 + 20)sinh(x) + 8\|5 cosh(x) +--R + +--R +-+ +-+ +--R (4\|5 + 20)cosh(x) + 8\|5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((cosh(x) - 1)sinh(x) + cosh(x) - 2cosh(x) + 1)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 - 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R cos(-------------------) +--R 2 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ +--R (500\|5 + 1500)sinh(x) + (500\|5 + 1500)cosh(x) - 250\|5 +--R + +--R - 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (- 10\|5 - 10) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 sinh(x) + (16\|5 cosh(x) + 4\|5 - 20)sinh(x) +--R + +--R +-+ 2 +-+ +-+ +--R 8\|5 cosh(x) + (4\|5 - 20)cosh(x) + 8\|5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((- cosh(x) + 1)sinh(x) - cosh(x) + 2cosh(x) - 1)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 - 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R cos(-------------------) +--R 2 +--R * +--R log +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- sin(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +--R (- 500\|5 - 1500)sinh(x) + (- 500\|5 - 1500)cosh(x) +--R + +--R +-+ +--R 250\|5 + 250 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ 2 +--R | +-+ +--R |\|5 - 2 +--R +---------+2 atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +--R (5\|5 + 5) |--------- cos(-------------------) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +---------+ atan(25 |-------- ) +--R | +-+ | +-+ +--R +-+ |8\|5 - 8 \| 625\|5 +-+ 2 +--R (10\|5 + 10) |--------- cos(------------------- + 8\|5 sinh(x) +--R 4| +-+ 2 +--R \| \|5 +--R + +--R +-+ +-+ +-+ 2 +--R (16\|5 cosh(x) + 4\|5 - 20)sinh(x) + 8\|5 cosh(x) +--R + +--R +-+ +-+ +--R (4\|5 - 20)cosh(x) + 8\|5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((- 2cosh(x) + 2)sinh(x) - 2cosh(x) + 4cosh(x) - 2)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 - 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R sin(-------------------) +--R 2 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 - 2 +--R (125\|5 + 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R - 4\|5 sinh(x) - 4\|5 cosh(x) - \|5 + 5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((2cosh(x) - 2)sinh(x) + 2cosh(x) - 4cosh(x) + 2)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 - 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R sin(-------------------) +--R 2 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 - 2 +--R (- 125\|5 - 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 - 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 - 2 |8\|5 - 8 \| 625\|5 +--R (125\|5 + 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R 4\|5 sinh(x) + 4\|5 cosh(x) + \|5 - 5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((- 2cosh(x) + 2)sinh(x) - 2cosh(x) + 4cosh(x) - 2)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 + 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R sin(-------------------) +--R 2 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 + 2 +--R (125\|5 - 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R - 4\|5 sinh(x) - 4\|5 cosh(x) - \|5 - 5 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((2cosh(x) - 2)sinh(x) + 2cosh(x) - 4cosh(x) + 2)\|- \|- 1 + 1 +--R * +--R +---------+ +--R +-------------+ | +-+ +----------+ +-----------+ +--R | 5+---+2 |8\|5 + 8 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 |--------- \|\|- 1 + 1 \|\|- 1 + 1 +--R 4| +-+ +--R \| \|5 +--R * +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R atan(25 |-------- ) +--R | +-+ +--R \| 625\|5 +--R sin(-------------------) +--R 2 +--R * +--R atan +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- cos(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +--------+ +--R | +-+ +--R +-+ |\|5 + 2 +--R (- 125\|5 + 375) |-------- +--R | +-+ +--R \| 625\|5 +--R / +--R +--------+ +--R | +-+ +--R |\|5 + 2 +--R +--------+ +---------+ atan(25 |-------- ) +--R | +-+ | +-+ | +-+ +--R +-+ |\|5 + 2 |8\|5 + 8 \| 625\|5 +--R (125\|5 - 375) |-------- |--------- sin(-------------------) +--R | +-+ 4| +-+ 2 +--R \| 625\|5 \| \|5 +--R + +--R +-+ +-+ +-+ +--R 4\|5 sinh(x) + 4\|5 cosh(x) + \|5 + 5 +--R + +--R +-------------+ +--R 2 | 5+---+2 +--R ((- 4cosh(x) + 4)sinh(x) - 4cosh(x) + 8cosh(x) - 4)\|- \|- 1 + 1 +--R * +--R 5+---+2 x +--R +----------+ +-----------+ (\|- 1 + 1)tanh(-) +--R |5+---+ |5+---+3 2 +--R \|\|- 1 + 1 \|\|- 1 + 1 atanh(--------------------) +--R +-------------+ +--R | 5+---+4 +--R \|- \|- 1 + 1 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((4cosh(x) - 4)sinh(x) + 4cosh(x) - 8cosh(x) + 4)\|- \|- 1 + 1 +--R * +--R 5+---+ x +--R +----------+ +-----------+ (\|- 1 - 1)tanh(-) +--R |5+---+ |5+---+3 2 +--R \|\|- 1 + 1 \|\|- 1 + 1 atanh(-------------------) +--R +-------------+ +--R | 5+---+2 +--R \|- \|- 1 + 1 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((4cosh(x) - 4)sinh(x) + 4cosh(x) - 8cosh(x) + 4)\|- \|- 1 + 1 +--R * +--R 5+---+3 x +--R +-------------+ +-----------+ (\|- 1 - 1)tanh(-) +--R | 5+---+2 |5+---+3 2 +--R \|- \|- 1 + 1 \|\|- 1 + 1 atanh(--------------------) +--R +----------+ +--R |5+---+ +--R \|\|- 1 + 1 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R ((- 4cosh(x) + 4)sinh(x) - 4cosh(x) + 8cosh(x) - 4)\|- \|- 1 + 1 +--R * +--R 5+---+4 x +--R +-------------+ +----------+ (\|- 1 + 1)tanh(-) +--R | 5+---+2 |5+---+ 2 +--R \|- \|- 1 + 1 \|\|- 1 + 1 atanh(--------------------) +--R +-----------+ +--R |5+---+3 +--R \|\|- 1 + 1 +--R + +--R +-------------+ +--R 2 | 5+---+4 +--R (- 2sinh(x) + (- 2cosh(x) + 2)sinh(x) + 4cosh(x) - 4)\|- \|- 1 + 1 +--R * +--R +-------------+ +----------+ +-----------+ +--R | 5+---+2 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R / +--R +-------------+ +--R 2 | 5+---+4 +--R ((10cosh(x) - 10)sinh(x) + 10cosh(x) - 20cosh(x) + 10)\|- \|- 1 + 1 +--R * +--R +-------------+ +----------+ +-----------+ +--R | 5+---+2 |5+---+ |5+---+3 +--R \|- \|- 1 + 1 \|\|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 124 + +--S 125 of 500 +--d0224:= D(m0224,x) +--E 125 + +--S 126 of 500 +t0225:= 1/(1-cosh(x)^6) +--R +--R +--R 1 +--R (89) - ------------ +--R 6 +--R cosh(x) - 1 +--R Type: Expression Integer +--E 126 + +--S 127 of 500 +r0225:= 1/3*atanh(tanh(x)/(1+(-1)^(1/3))^(1/2))/(1+(-1)^(1/3))^(1/2)+_ + 1/3*atanh(tanh(x)/(1-(-1)^(2/3))^(1/2))/(1-(-1)^(2/3))^(1/2)+_ + 1/3*coth(x) +--R +--R +--R (90) +--R +----------+ +--R |3+---+ tanh(x) +--R \|\|- 1 + 1 atanh(----------------) +--R +-------------+ +--R | 3+---+2 +--R \|- \|- 1 + 1 +--R + +--R +-------------+ +-------------+ +----------+ +--R | 3+---+2 tanh(x) | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 atanh(-------------) + coth(x)\|- \|- 1 + 1 \|\|- 1 + 1 +--R +----------+ +--R |3+---+ +--R \|\|- 1 + 1 +--R / +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R 3\|- \|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 127 + +--S 128 of 500 +a0225:= integrate(t0225,x) +--R +--R +--R (91) +--R %pi 2 %pi %pi 2 +--R cos(---)sinh(x) + 2cos(---)cosh(x)sinh(x) + cos(---)cosh(x) +--R 12 12 12 +--R + +--R %pi +--R - cos(---) +--R 12 +--R * +--R log +--R 4+-+2 4 4+-+2 3 +--R \|3 sinh(x) + 4\|3 cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 2 4+-+ %pi 4+-+2 +--R (2\|3 \|3 sin(---) + 6\|3 cosh(x) - 6\|3 cos(---) + 4\|3 ) +--R 12 12 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 3 +--R 4\|3 \|3 cosh(x)sin(---) + 4\|3 cosh(x) +--R 12 +--R + +--R 4+-+ %pi 4+-+2 +--R (- 12\|3 cos(---) + 8\|3 )cosh(x) +--R 12 +--R * +--R sinh(x) +--R + +--R %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 12sin(---) + (2\|3 \|3 cosh(x) - 2\|3 \|3 )sin(---) +--R 12 12 +--R + +--R 4+-+2 4 4+-+ %pi 4+-+2 2 %pi 2 +--R \|3 cosh(x) + (- 6\|3 cos(---) + 4\|3 )cosh(x) + 12cos(---) +--R 12 12 +--R + +--R 4+-+ %pi 4+-+2 +--R - 18\|3 cos(---) + 7\|3 +--R 12 +--R + +--R %pi 2 %pi %pi 2 +--R - cos(---)sinh(x) - 2cos(---)cosh(x)sinh(x) - cos(---)cosh(x) +--R 12 12 12 +--R + +--R %pi +--R cos(---) +--R 12 +--R * +--R log +--R 4+-+2 4 4+-+2 3 +--R \|3 sinh(x) + 4\|3 cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 2 4+-+ %pi 4+-+2 +--R (- 2\|3 \|3 sin(---) + 6\|3 cosh(x) + 6\|3 cos(---) + 4\|3 ) +--R 12 12 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 3 +--R - 4\|3 \|3 cosh(x)sin(---) + 4\|3 cosh(x) +--R 12 +--R + +--R 4+-+ %pi 4+-+2 +--R (12\|3 cos(---) + 8\|3 )cosh(x) +--R 12 +--R * +--R sinh(x) +--R + +--R %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 12sin(---) + (- 2\|3 \|3 cosh(x) + 2\|3 \|3 )sin(---) +--R 12 12 +--R + +--R 4+-+2 4 4+-+ %pi 4+-+2 2 %pi 2 +--R \|3 cosh(x) + (6\|3 cos(---) + 4\|3 )cosh(x) + 12cos(---) +--R 12 12 +--R + +--R 4+-+ %pi 4+-+2 +--R 18\|3 cos(---) + 7\|3 +--R 12 +--R + +--R %pi 2 %pi 2 %pi +--R (2sin(---)sinh(x) + 4cosh(x)sin(---)sinh(x) + (2cosh(x) - 2)sin(---)) +--R 12 12 12 +--R * +--R atan +--R +-+ %pi %pi 4+-+ +--R 3\|3 sin(---) + 3cos(---) + 3\|3 +--R 12 12 +--R / +--R +-+4+-+ 2 +-+4+-+ %pi +--R \|3 \|3 sinh(x) + 2\|3 \|3 cosh(x)sinh(x) - 3sin(---) +--R 12 +--R + +--R +-+4+-+ 2 +-+ %pi +-+4+-+ +--R \|3 \|3 cosh(x) + 3\|3 cos(---) + 2\|3 \|3 +--R 12 +--R + +--R %pi 2 %pi 2 %pi +--R (2sin(---)sinh(x) + 4cosh(x)sin(---)sinh(x) + (2cosh(x) - 2)sin(---)) +--R 12 12 12 +--R * +--R atan +--R +-+ %pi %pi 4+-+ +--R 3\|3 sin(---) + 3cos(---) - 3\|3 +--R 12 12 +--R / +--R +-+4+-+ 2 +-+4+-+ %pi +--R \|3 \|3 sinh(x) + 2\|3 \|3 cosh(x)sinh(x) + 3sin(---) +--R 12 +--R + +--R +-+4+-+ 2 +-+ %pi +-+4+-+ +--R \|3 \|3 cosh(x) - 3\|3 cos(---) + 2\|3 \|3 +--R 12 +--R + +--R 4+-+ +--R 4\|3 +--R / +--R 4+-+ 2 4+-+ 4+-+ 2 4+-+ +--R 6\|3 sinh(x) + 12\|3 cosh(x)sinh(x) + 6\|3 cosh(x) - 6\|3 +--R Type: Union(Expression Integer,...) +--E 128 + +--S 129 of 500 +m0225:= a0225-r0225 +--R +--R +--R (92) +--R %pi 2 %pi %pi 2 +--R cos(---)sinh(x) + 2cos(---)cosh(x)sinh(x) + cos(---)cosh(x) +--R 12 12 12 +--R + +--R %pi +--R - cos(---) +--R 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R log +--R 4+-+2 4 4+-+2 3 +--R \|3 sinh(x) + 4\|3 cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 2 4+-+ %pi 4+-+2 +--R (2\|3 \|3 sin(---) + 6\|3 cosh(x) - 6\|3 cos(---) + 4\|3 ) +--R 12 12 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 3 +--R 4\|3 \|3 cosh(x)sin(---) + 4\|3 cosh(x) +--R 12 +--R + +--R 4+-+ %pi 4+-+2 +--R (- 12\|3 cos(---) + 8\|3 )cosh(x) +--R 12 +--R * +--R sinh(x) +--R + +--R %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 12sin(---) + (2\|3 \|3 cosh(x) - 2\|3 \|3 )sin(---) +--R 12 12 +--R + +--R 4+-+2 4 4+-+ %pi 4+-+2 2 %pi 2 +--R \|3 cosh(x) + (- 6\|3 cos(---) + 4\|3 )cosh(x) + 12cos(---) +--R 12 12 +--R + +--R 4+-+ %pi 4+-+2 +--R - 18\|3 cos(---) + 7\|3 +--R 12 +--R + +--R %pi 2 %pi %pi 2 +--R - cos(---)sinh(x) - 2cos(---)cosh(x)sinh(x) - cos(---)cosh(x) +--R 12 12 12 +--R + +--R %pi +--R cos(---) +--R 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R log +--R 4+-+2 4 4+-+2 3 +--R \|3 sinh(x) + 4\|3 cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 2 4+-+ %pi 4+-+2 +--R (- 2\|3 \|3 sin(---) + 6\|3 cosh(x) + 6\|3 cos(---) + 4\|3 ) +--R 12 12 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+4+-+ %pi 4+-+2 3 +--R - 4\|3 \|3 cosh(x)sin(---) + 4\|3 cosh(x) +--R 12 +--R + +--R 4+-+ %pi 4+-+2 +--R (12\|3 cos(---) + 8\|3 )cosh(x) +--R 12 +--R * +--R sinh(x) +--R + +--R %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 12sin(---) + (- 2\|3 \|3 cosh(x) + 2\|3 \|3 )sin(---) +--R 12 12 +--R + +--R 4+-+2 4 4+-+ %pi 4+-+2 2 %pi 2 +--R \|3 cosh(x) + (6\|3 cos(---) + 4\|3 )cosh(x) + 12cos(---) +--R 12 12 +--R + +--R 4+-+ %pi 4+-+2 +--R 18\|3 cos(---) + 7\|3 +--R 12 +--R + +--R 4+-+ 2 4+-+ 4+-+ 2 4+-+ +--R (- 2\|3 sinh(x) - 4\|3 cosh(x)sinh(x) - 2\|3 cosh(x) + 2\|3 ) +--R * +--R +----------+ +--R |3+---+ tanh(x) +--R \|\|- 1 + 1 atanh(----------------) +--R +-------------+ +--R | 3+---+2 +--R \|- \|- 1 + 1 +--R + +--R 4+-+ 2 4+-+ 4+-+ 2 4+-+ +--R (- 2\|3 sinh(x) - 4\|3 cosh(x)sinh(x) - 2\|3 cosh(x) + 2\|3 ) +--R * +--R +-------------+ +--R | 3+---+2 tanh(x) +--R \|- \|- 1 + 1 atanh(-------------) +--R +----------+ +--R |3+---+ +--R \|\|- 1 + 1 +--R + +--R %pi 2 %pi 2 %pi +--R (2sin(---)sinh(x) + 4cosh(x)sin(---)sinh(x) + (2cosh(x) - 2)sin(---)) +--R 12 12 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R atan +--R +-+ %pi %pi 4+-+ +--R 3\|3 sin(---) + 3cos(---) + 3\|3 +--R 12 12 +--R / +--R +-+4+-+ 2 +-+4+-+ %pi +--R \|3 \|3 sinh(x) + 2\|3 \|3 cosh(x)sinh(x) - 3sin(---) +--R 12 +--R + +--R +-+4+-+ 2 +-+ %pi +-+4+-+ +--R \|3 \|3 cosh(x) + 3\|3 cos(---) + 2\|3 \|3 +--R 12 +--R + +--R %pi 2 %pi 2 %pi +--R (2sin(---)sinh(x) + 4cosh(x)sin(---)sinh(x) + (2cosh(x) - 2)sin(---)) +--R 12 12 12 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R * +--R atan +--R +-+ %pi %pi 4+-+ +--R 3\|3 sin(---) + 3cos(---) - 3\|3 +--R 12 12 +--R / +--R +-+4+-+ 2 +-+4+-+ %pi +--R \|3 \|3 sinh(x) + 2\|3 \|3 cosh(x)sinh(x) + 3sin(---) +--R 12 +--R + +--R +-+4+-+ 2 +-+ %pi +-+4+-+ +--R \|3 \|3 cosh(x) - 3\|3 cos(---) + 2\|3 \|3 +--R 12 +--R + +--R 4+-+ 2 4+-+ +--R - 2\|3 coth(x)sinh(x) - 4\|3 cosh(x)coth(x)sinh(x) +--R + +--R 4+-+ 2 4+-+ 4+-+ +--R (- 2\|3 cosh(x) + 2\|3 )coth(x) + 4\|3 +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R / +--R 4+-+ 2 4+-+ 4+-+ 2 4+-+ +--R (6\|3 sinh(x) + 12\|3 cosh(x)sinh(x) + 6\|3 cosh(x) - 6\|3 ) +--R * +--R +-------------+ +----------+ +--R | 3+---+2 |3+---+ +--R \|- \|- 1 + 1 \|\|- 1 + 1 +--R Type: Expression Integer +--E 129 + +--S 130 of 500 +--d0225:= D(m0225,x) +--E 130 + +--S 131 of 500 +t0226:= 1/(1-cosh(x)^8) +--R +--R +--R 1 +--R (93) - ------------ +--R 8 +--R cosh(x) - 1 +--R Type: Expression Integer +--E 131 + +--S 132 of 500 +r0226:= 1/4*atanh(tanh(x)/(1-%i)^(1/2))/(1-%i)^(1/2)+_ + 1/4*atanh(tanh(x)/(1+%i)^(1/2))/(1+%i)^(1/2)+_ + 1/8*atanh(1/2*2^(1/2)*tanh(x))*2^(1/2)+1/4*coth(x) +--R +--R +--R (94) +--R +-+ +--R +------+ +------+ +-+ \|2 tanh(x) +------+ tanh(x) +--R \|1 - %i \|1 + %i \|2 atanh(-----------) + 2\|1 + %i atanh(---------) +--R 2 +------+ +--R \|1 - %i +--R + +--R +------+ tanh(x) +------+ +------+ +--R 2\|1 - %i atanh(---------) + 2\|1 - %i \|1 + %i coth(x) +--R +------+ +--R \|1 + %i +--R / +--R +------+ +------+ +--R 8\|1 - %i \|1 + %i +--R Type: Expression Complex Integer +--E 132 + +--S 133 of 500 +a0226:= integrate(t0226,x) +--R +--R +--R (95) +--R 4+-+ %pi 2 4+-+ %pi +--R \|2 cos(---)sinh(x) + 2\|2 cos(---)cosh(x)sinh(x) +--R 8 8 +--R + +--R 4+-+ %pi 2 4+-+ %pi +--R \|2 cos(---)cosh(x) - \|2 cos(---) +--R 8 8 +--R * +--R log +--R 4 3 +--R sinh(x) + 4cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 2 +-+4+-+ %pi 2 +--R (2\|2 \|2 sin(---) + 6cosh(x) - 2\|2 \|2 cos(---) + 2)sinh(x) +--R 8 8 +--R + +--R +-+4+-+ %pi 3 +--R 4\|2 \|2 cosh(x)sin(---) + 4cosh(x) +--R 8 +--R + +--R +-+4+-+ %pi +--R (- 4\|2 \|2 cos(---) + 4)cosh(x) +--R 8 +--R * +--R sinh(x) +--R + +--R 4+-+2 %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 4\|2 sin(---) + (2\|2 \|2 cosh(x) - 2\|2 \|2 )sin(---) +--R 8 8 +--R + +--R 4 +-+4+-+ %pi 2 4+-+2 %pi 2 +--R cosh(x) + (- 2\|2 \|2 cos(---) + 2)cosh(x) + 4\|2 cos(---) +--R 8 8 +--R + +--R +-+4+-+ %pi +--R - 6\|2 \|2 cos(---) + 5 +--R 8 +--R + +--R 4+-+ %pi 2 4+-+ %pi +--R - \|2 cos(---)sinh(x) - 2\|2 cos(---)cosh(x)sinh(x) +--R 8 8 +--R + +--R 4+-+ %pi 2 4+-+ %pi +--R - \|2 cos(---)cosh(x) + \|2 cos(---) +--R 8 8 +--R * +--R log +--R 4 3 +--R sinh(x) + 4cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 2 +-+4+-+ %pi 2 +--R (- 2\|2 \|2 sin(---) + 6cosh(x) + 2\|2 \|2 cos(---) + 2)sinh(x) +--R 8 8 +--R + +--R +-+4+-+ %pi 3 +--R - 4\|2 \|2 cosh(x)sin(---) + 4cosh(x) +--R 8 +--R + +--R +-+4+-+ %pi +--R (4\|2 \|2 cos(---) + 4)cosh(x) +--R 8 +--R * +--R sinh(x) +--R + +--R 4+-+2 %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 4\|2 sin(---) + (- 2\|2 \|2 cosh(x) + 2\|2 \|2 )sin(---) +--R 8 8 +--R + +--R 4 +-+4+-+ %pi 2 4+-+2 %pi 2 +--R cosh(x) + (2\|2 \|2 cos(---) + 2)cosh(x) + 4\|2 cos(---) +--R 8 8 +--R + +--R +-+4+-+ %pi +--R 6\|2 \|2 cos(---) + 5 +--R 8 +--R + +--R 2 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1) +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) + 3\|2 - 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R + +--R 4+-+ %pi 2 4+-+ %pi +--R 2\|2 sin(---)sinh(x) + 4\|2 cosh(x)sin(---)sinh(x) +--R 8 8 +--R + +--R 4+-+ 2 4+-+ %pi +--R (2\|2 cosh(x) - 2\|2 )sin(---) +--R 8 +--R * +--R atan +--R 4+-+ %pi 4+-+ %pi +-+ +--R 2\|2 sin(---) + 2\|2 cos(---) + 2\|2 +--R 8 8 +--R / +--R +-+ 2 +-+ 4+-+ %pi +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) - 2\|2 sin(---) +--R 8 +--R + +--R +-+ 2 4+-+ %pi +-+ +--R \|2 cosh(x) + 2\|2 cos(---) + \|2 +--R 8 +--R + +--R 4+-+ %pi 2 4+-+ %pi +--R 2\|2 sin(---)sinh(x) + 4\|2 cosh(x)sin(---)sinh(x) +--R 8 8 +--R + +--R 4+-+ 2 4+-+ %pi +--R (2\|2 cosh(x) - 2\|2 )sin(---) +--R 8 +--R * +--R atan +--R 4+-+ %pi 4+-+ %pi +-+ +--R 2\|2 sin(---) + 2\|2 cos(---) - 2\|2 +--R 8 8 +--R / +--R +-+ 2 +-+ 4+-+ %pi +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + 2\|2 sin(---) +--R 8 +--R + +--R +-+ 2 4+-+ %pi +-+ +--R \|2 cosh(x) - 2\|2 cos(---) + \|2 +--R 8 +--R + +--R +-+ +--R 4\|2 +--R / +--R +-+ 2 +-+ +-+ 2 +-+ +--R 8\|2 sinh(x) + 16\|2 cosh(x)sinh(x) + 8\|2 cosh(x) - 8\|2 +--R Type: Union(Expression Integer,...) +--E 133 + +--S 134 of 500 +m0226:= a0226-r0226 +--R +--R +--R (96) +--R +------+ +------+4+-+ %pi 2 +--R \|1 - %i \|1 + %i \|2 cos(---)sinh(x) +--R 8 +--R + +--R +------+ +------+4+-+ %pi +--R 2\|1 - %i \|1 + %i \|2 cos(---)cosh(x)sinh(x) +--R 8 +--R + +--R +------+ +------+4+-+ %pi 2 +------+ +------+4+-+ %pi +--R \|1 - %i \|1 + %i \|2 cos(---)cosh(x) - \|1 - %i \|1 + %i \|2 cos(---) +--R 8 8 +--R * +--R log +--R 4 3 +--R sinh(x) + 4cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 2 +-+4+-+ %pi 2 +--R (2\|2 \|2 sin(---) + 6cosh(x) - 2\|2 \|2 cos(---) + 2)sinh(x) +--R 8 8 +--R + +--R +-+4+-+ %pi 3 +--R 4\|2 \|2 cosh(x)sin(---) + 4cosh(x) +--R 8 +--R + +--R +-+4+-+ %pi +--R (- 4\|2 \|2 cos(---) + 4)cosh(x) +--R 8 +--R * +--R sinh(x) +--R + +--R 4+-+2 %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 4\|2 sin(---) + (2\|2 \|2 cosh(x) - 2\|2 \|2 )sin(---) +--R 8 8 +--R + +--R 4 +-+4+-+ %pi 2 4+-+2 %pi 2 +--R cosh(x) + (- 2\|2 \|2 cos(---) + 2)cosh(x) + 4\|2 cos(---) +--R 8 8 +--R + +--R +-+4+-+ %pi +--R - 6\|2 \|2 cos(---) + 5 +--R 8 +--R + +--R +------+ +------+4+-+ %pi 2 +--R - \|1 - %i \|1 + %i \|2 cos(---)sinh(x) +--R 8 +--R + +--R +------+ +------+4+-+ %pi +--R - 2\|1 - %i \|1 + %i \|2 cos(---)cosh(x)sinh(x) +--R 8 +--R + +--R +------+ +------+4+-+ %pi 2 +--R - \|1 - %i \|1 + %i \|2 cos(---)cosh(x) +--R 8 +--R + +--R +------+ +------+4+-+ %pi +--R \|1 - %i \|1 + %i \|2 cos(---) +--R 8 +--R * +--R log +--R 4 3 +--R sinh(x) + 4cosh(x)sinh(x) +--R + +--R +-+4+-+ %pi 2 +-+4+-+ %pi 2 +--R (- 2\|2 \|2 sin(---) + 6cosh(x) + 2\|2 \|2 cos(---) + 2)sinh(x) +--R 8 8 +--R + +--R +-+4+-+ %pi 3 +--R - 4\|2 \|2 cosh(x)sin(---) + 4cosh(x) +--R 8 +--R + +--R +-+4+-+ %pi +--R (4\|2 \|2 cos(---) + 4)cosh(x) +--R 8 +--R * +--R sinh(x) +--R + +--R 4+-+2 %pi 2 +-+4+-+ 2 +-+4+-+ %pi +--R 4\|2 sin(---) + (- 2\|2 \|2 cosh(x) + 2\|2 \|2 )sin(---) +--R 8 8 +--R + +--R 4 +-+4+-+ %pi 2 4+-+2 %pi 2 +--R cosh(x) + (2\|2 \|2 cos(---) + 2)cosh(x) + 4\|2 cos(---) +--R 8 8 +--R + +--R +-+4+-+ %pi +--R 6\|2 \|2 cos(---) + 5 +--R 8 +--R + +--R +------+ +------+ 2 +------+ +------+ +--R \|1 - %i \|1 + %i sinh(x) + 2\|1 - %i \|1 + %i cosh(x)sinh(x) +--R + +--R +------+ +------+ 2 +------+ +------+ +--R \|1 - %i \|1 + %i cosh(x) - \|1 - %i \|1 + %i +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 - 12)sinh(x) + (- 16\|2 + 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 - 12)cosh(x) + 3\|2 - 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) + 3 +--R + +--R +------+ +------+ 2 +------+ +------+ +--R - 2\|1 - %i \|1 + %i sinh(x) - 4\|1 - %i \|1 + %i cosh(x)sinh(x) +--R + +--R +------+ +------+ 2 +------+ +------+ +--R - 2\|1 - %i \|1 + %i cosh(x) + 2\|1 - %i \|1 + %i +--R * +--R +-+ +--R \|2 tanh(x) +--R atanh(-----------) +--R 2 +--R + +--R +------+ +-+ 2 +------+ +-+ +--R - 2\|1 + %i \|2 sinh(x) - 4\|1 + %i \|2 cosh(x)sinh(x) +--R + +--R +------+ +-+ 2 +------+ +-+ +--R - 2\|1 + %i \|2 cosh(x) + 2\|1 + %i \|2 +--R * +--R tanh(x) +--R atanh(---------) +--R +------+ +--R \|1 - %i +--R + +--R +------+ +-+ 2 +------+ +-+ +--R - 2\|1 - %i \|2 sinh(x) - 4\|1 - %i \|2 cosh(x)sinh(x) +--R + +--R +------+ +-+ 2 +------+ +-+ +--R - 2\|1 - %i \|2 cosh(x) + 2\|1 - %i \|2 +--R * +--R tanh(x) +--R atanh(---------) +--R +------+ +--R \|1 + %i +--R + +--R +------+ +------+4+-+ %pi 2 +--R 2\|1 - %i \|1 + %i \|2 sin(---)sinh(x) +--R 8 +--R + +--R +------+ +------+4+-+ %pi +--R 4\|1 - %i \|1 + %i \|2 cosh(x)sin(---)sinh(x) +--R 8 +--R + +--R +------+ +------+4+-+ 2 +------+ +------+4+-+ %pi +--R (2\|1 - %i \|1 + %i \|2 cosh(x) - 2\|1 - %i \|1 + %i \|2 )sin(---) +--R 8 +--R * +--R atan +--R 4+-+ %pi 4+-+ %pi +-+ +--R 2\|2 sin(---) + 2\|2 cos(---) + 2\|2 +--R 8 8 +--R / +--R +-+ 2 +-+ 4+-+ %pi +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) - 2\|2 sin(---) +--R 8 +--R + +--R +-+ 2 4+-+ %pi +-+ +--R \|2 cosh(x) + 2\|2 cos(---) + \|2 +--R 8 +--R + +--R +------+ +------+4+-+ %pi 2 +--R 2\|1 - %i \|1 + %i \|2 sin(---)sinh(x) +--R 8 +--R + +--R +------+ +------+4+-+ %pi +--R 4\|1 - %i \|1 + %i \|2 cosh(x)sin(---)sinh(x) +--R 8 +--R + +--R +------+ +------+4+-+ 2 +------+ +------+4+-+ %pi +--R (2\|1 - %i \|1 + %i \|2 cosh(x) - 2\|1 - %i \|1 + %i \|2 )sin(---) +--R 8 +--R * +--R atan +--R 4+-+ %pi 4+-+ %pi +-+ +--R 2\|2 sin(---) + 2\|2 cos(---) - 2\|2 +--R 8 8 +--R / +--R +-+ 2 +-+ 4+-+ %pi +--R \|2 sinh(x) + 2\|2 cosh(x)sinh(x) + 2\|2 sin(---) +--R 8 +--R + +--R +-+ 2 4+-+ %pi +-+ +--R \|2 cosh(x) - 2\|2 cos(---) + \|2 +--R 8 +--R + +--R +------+ +------+ +-+ 2 +--R - 2\|1 - %i \|1 + %i \|2 coth(x)sinh(x) +--R + +--R +------+ +------+ +-+ +--R - 4\|1 - %i \|1 + %i \|2 cosh(x)coth(x)sinh(x) +--R + +--R +------+ +------+ +-+ 2 +------+ +------+ +-+ +--R (- 2\|1 - %i \|1 + %i \|2 cosh(x) + 2\|1 - %i \|1 + %i \|2 )coth(x) +--R + +--R +------+ +------+ +-+ +--R 4\|1 - %i \|1 + %i \|2 +--R / +--R +------+ +------+ +-+ 2 +------+ +------+ +-+ +--R 8\|1 - %i \|1 + %i \|2 sinh(x) + 16\|1 - %i \|1 + %i \|2 cosh(x)sinh(x) +--R + +--R +------+ +------+ +-+ 2 +------+ +------+ +-+ +--R 8\|1 - %i \|1 + %i \|2 cosh(x) - 8\|1 - %i \|1 + %i \|2 +--R Type: Expression Complex Integer +--E 134 + +--S 135 of 500 +--d0226:= D(m0226,x) +--E 135 + +--S 136 of 500 +t0227:= x^2*cosh(a+b*x+c*x^2) +--R +--R +--R 2 2 +--R (97) x cosh(c x + b x + a) +--R Type: Expression Integer +--E 136 + +--S 137 of 500 +r0227:= 1/16*(b^2+2*c)*exp(1)^(-a+1/4*b^2/c)*%pi^(1/2)*_ + erf(1/2*(b+2*c*x)/c^(1/2))/c^(5/2)+1/16*(b^2-2*c)*_ + exp(1)^(a-1/4*b^2/c)*%pi^(1/2)*erfi(1/2*(b+2*c*x)/c^(1/2))/_ + c^(5/2)-1/4*b*sinh(a+b*x+c*x^2)/c^2+1/2*x*sinh(a+b*x+c*x^2)/c +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 137 + +--S 138 of 500 +a0227:= integrate(t0227,x) +--R +--R +--R x +--R ++ 2 2 +--R (98) | %R cosh(%R c + %R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 138 + +--S 139 of 500 +--m0227:= a0227-r0227 +--E 139 + +--S 140 of 500 +--d0227:= D(m0227,x) +--E 140 + +--S 141 of 500 +t0228:= x*cosh(a+b*x+c*x^2) +--R +--R +--R 2 +--R (99) x cosh(c x + b x + a) +--R Type: Expression Integer +--E 141 + +--S 142 of 500 +r0228:= 1/8*(-b*exp(-1/4*(-b^2+4*a*c)/c)*%pi^(1/2)*_ + erf(1/2*(b+2*c*x)/c^(1/2))+%i*b*_ + exp(1/4*(-b^2+4*a*c)/c)*%pi^(1/2)*_ + erf(1/2*%i*(b+2*c*x)/c^(1/2))+4*_ + sinh(a+b*x+c*x^2)*c^(1/2))/c^(3/2) +--R +--R There are 14 exposed and 12 unexposed library operations named / +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op / +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named / +--R with argument type(s) +--R Polynomial Complex Fraction Integer +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 142 + +--S 143 of 500 +a0228:= integrate(t0228,x) +--R +--R +--R x +--R ++ 2 +--R (100) | %R cosh(%R c + %R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 143 + +--S 144 of 500 +--m0228:= a0228-r0228 +--E 144 + +--S 145 of 500 +--d0228:= D(m0228,x) +--E 145 + +--S 146 of 500 +t0229:= cosh(a+b*x+c*x^2)/x^2-b*sinh(a+b*x+c*x^2)/x +--R +--R +--R 2 2 +--R - b x sinh(c x + b x + a) + cosh(c x + b x + a) +--R (101) ------------------------------------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 146 + +--S 147 of 500 +r0229:= -cosh(a+b*x+c*x^2)/x-1/2*c^(1/2)*exp(1)^(-a+1/4*b^2/c)*%pi^(1/2)*_ + erf(1/2*(b+2*c*x)/c^(1/2))+1/2*c^(1/2)*_ + exp(1)^(a-1/4*b^2/c)*%pi^(1/2)*erfi(1/2*(b+2*c*x)/c^(1/2)) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 147 + +--S 148 of 500 +a0229:= integrate(t0229,x) +--R +--R +--R x 2 2 +--R ++ - %R b sinh(%R c + %R b + a) + cosh(%R c + %R b + a) +--R (102) | ---------------------------------------------------- d%R +--R ++ 2 +--R %R +--R Type: Union(Expression Integer,...) +--E 148 + +--S 149 of 500 +--m0229:= a0229-r0229 +--E 149 + +--S 150 of 500 +--d0229:= D(m0229,x) +--E 150 + +--S 151 of 500 +t0230:= x^2*cosh(a+b*x-c*x^2) +--R +--R +--R 2 2 +--R (103) x cosh(c x - b x - a) +--R Type: Expression Integer +--E 151 + +--S 152 of 500 +r0230:= -1/16*(b^2+2*c)*exp(1)^(a+1/4*b^2/c)*%pi^(1/2)*_ + erf(1/2*(b-2*c*x)/c^(1/2))/c^(5/2)-1/16*(b^2-2*c)*_ + exp(1)^(-a-1/4*b^2/c)*%pi^(1/2)*_ + erfi(1/2*(b-2*c*x)/c^(1/2))/c^(5/2)-1/4*b*_ + sinh(a+b*x-c*x^2)/c^2-1/2*x*sinh(a+b*x-c*x^2)/c +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 152 + +--S 153 of 500 +a0230:= integrate(t0230,x) +--R +--R +--R x +--R ++ 2 2 +--R (104) | %R cosh(%R c - %R b - a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 153 + +--S 154 of 500 +--m0230:= a0230-r0230 +--E 154 + +--S 155 of 500 +--d0230:= D(m0230,x) +--E 155 + +--S 156 of 500 +t0231:= x*cosh(a+b*x-c*x^2) +--R +--R +--R 2 +--R (105) x cosh(c x - b x - a) +--R Type: Expression Integer +--E 156 + +--S 157 of 500 +r0231:= -1/8/c^(3/2)*(b*exp(1/4*(b^2+4*a*c)/c)*%pi^(1/2)*_ + erf(1/2*(b-2*c*x)/c^(1/2))-%i*b*_ + exp(-1/4*(b^2+4*a*c)/c)*%pi^(1/2)*_ + erf(1/2*%i*(b-2*c*x)/c^(1/2))+4*_ + sinh(a+b*x-c*x^2)*c^(1/2)) +--R +--R There are 14 exposed and 12 unexposed library operations named / +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op / +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named / +--R with argument type(s) +--R Polynomial Complex Fraction Integer +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 157 + +--S 158 of 500 +a0231:= integrate(t0231,x) +--R +--R +--R x +--R ++ 2 +--R (106) | %R cosh(%R c - %R b - a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 158 + +--S 159 of 500 +--m0231:= a0231-r0231 +--E 159 + +--S 160 of 500 +--d0231:= D(m0231,x) +--E 160 + +--S 161 of 500 +t0232:= cosh(a+b*x-c*x^2)/x^2-b*sinh(a+b*x-c*x^2)/x +--R +--R +--R 2 2 +--R b x sinh(c x - b x - a) + cosh(c x - b x - a) +--R (107) ----------------------------------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 161 + +--S 162 of 500 +r0232:= 1/2/x*(-2*cosh(a+b*x-c*x^2)+c^(1/2)*exp(1/4*(b^2+4*a*c)/c)*%pi^(1/2)*_ + erf(1/2*(b-2*c*x)/c^(1/2))*x+%i*c^(1/2)*_ + exp(-1/4*(b^2+4*a*c)/c)*%pi^(1/2)*_ + erf(1/2*%i*(b-2*c*x)/c^(1/2))*x) +--R +--R There are 14 exposed and 12 unexposed library operations named / +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op / +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named / +--R with argument type(s) +--R Polynomial Complex Fraction Integer +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 162 + +--S 163 of 500 +a0232:= integrate(t0232,x) +--R +--R +--R x 2 2 +--R ++ %R b sinh(%R c - %R b - a) + cosh(%R c - %R b - a) +--R (108) | -------------------------------------------------- d%R +--R ++ 2 +--R %R +--R Type: Union(Expression Integer,...) +--E 163 + +--S 164 of 500 +--m0232:= a0232-r0232 +--E 164 + +--S 165 of 500 +--d0232:= D(m0232,x) +--E 165 + +--S 166 of 500 +t0233:= x^2*cosh(a+b*x+c*x^2)^2 +--R +--R +--R 2 2 2 +--R (109) x cosh(c x + b x + a) +--R Type: Expression Integer +--E 166 + +--S 167 of 500 +r0233:= 1/6*x^3+1/64*(b^2+c)*exp(1)^(-2*a+1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erf(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)+1/64*(-c+b^2)*_ + exp(1)^(2*a-1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erfi(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)-1/16*b*_ + sinh(2*a+2*b*x+2*c*x^2)/c^2+1/8*x*sinh(2*a+2*b*x+2*c*x^2)/c +--R +--R There are 35 exposed and 23 unexposed library operations named * +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op * +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named * +--R with argument type(s) +--R Polynomial Fraction Integer +--R AlgebraicNumber +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 167 + +--S 168 of 500 +a0233:= integrate(t0233,x) +--R +--R +--R x +--R ++ 2 2 2 +--R (110) | %R cosh(%R c + %R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 168 + +--S 169 of 500 +--m0233:= a0233-r0233 +--E 169 + +--S 170 of 500 +--d0233:= D(m0233,x) +--E 170 + +--S 171 of 500 +t0234:= x^2*cosh(a+b*x-c*x^2)^2 +--R +--R +--R 2 2 2 +--R (111) x cosh(c x - b x - a) +--R Type: Expression Integer +--E 171 + +--S 172 of 500 +r0234:= 1/6*x^3-1/64*(b^2+c)*exp(1)^(2*a+1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erf(1/2*(b-2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)-1/64*(-c+b^2)*_ + exp(1)^(-2*a-1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erfi(1/2*(b-2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)-1/16*b*_ + sinh(2*a+2*b*x-2*c*x^2)/c^2-1/8*x*sinh(2*a+2*b*x-2*c*x^2)/c +--R +--R There are 35 exposed and 23 unexposed library operations named * +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op * +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named * +--R with argument type(s) +--R Polynomial Fraction Integer +--R AlgebraicNumber +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 172 + +--S 173 of 500 +a0234:= integrate(t0234,x) +--R +--R +--R x +--R ++ 2 2 2 +--R (112) | %R cosh(%R c - %R b - a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 173 + +--S 174 of 500 +--m0234:= a0234-r0234 +--E 174 + +--S 175 of 500 +--d0234:= D(m0234,x) +--E 175 + +--S 176 of 500 +t0235:= x^2*cosh(1/4+x+x^2)^2 +--R +--R +--R 2 2 +--R 2 4x + 4x + 1 +--R (113) x cosh(------------) +--R 4 +--R Type: Expression Integer +--E 176 + +--S 177 of 500 +r0235:= 1/6*x^3+1/32*2^(1/2)*%pi^(1/2)*erf(1/2*(1+2*x)*2^(1/2))-_ + 1/16*sinh(1/2+2*x+2*x^2)+1/8*x*sinh(1/2+2*x+2*x^2) +--R +--R There are 1 exposed and 1 unexposed library operations named erf +--R having 1 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op erf +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named erf +--R with argument type(s) +--R UnivariatePolynomial(x,AlgebraicNumber) +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 177 + +--S 178 of 500 +a0235:= integrate(t0235,x) +--R +--R +--R x 2 2 +--R ++ 2 4%R + 4%R + 1 +--R (114) | %R cosh(--------------) d%R +--R ++ 4 +--R Type: Union(Expression Integer,...) +--E 178 + +--S 179 of 500 +--m0235:= a0235-r0235 +--E 179 + +--S 180 of 500 +--d0235:= D(m0235,x) +--E 180 + +--S 181 of 500 +t0236:= (d+e*x)^2*cosh(a+b*x+c*x^2) +--R +--R +--R 2 2 2 2 +--R (115) (e x + 2d e x + d )cosh(c x + b x + a) +--R Type: Expression Integer +--E 181 + +--S 182 of 500 +r0236:= 1/16*(4*c^2*d^2-2*c*(2*b*d-e)*e+b^2*e^2)*_ + exp(1)^(-a+1/4*b^2/c)*%pi^(1/2)*erf(1/2*(b+2*c*x)/c^(1/2))/_ + c^(5/2)+1/16*(4*c^2*d^2+b^2*e^2-2*c*e*(2*b*d+e))*_ + exp(1)^(a-1/4*b^2/c)*%pi^(1/2)*erfi(1/2*(b+2*c*x)/_ + c^(1/2))/c^(5/2)+1/4*e*(4*c*d-b*e)*sinh(a+b*x+c*x^2)/_ + c^2+1/2*e^2*x*sinh(a+b*x+c*x^2)/c +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 182 + +--S 183 of 500 +a0236:= integrate(t0236,x) +--R +--R +--R x +--R ++ 2 2 2 2 +--R (116) | (%R e + 2%R d e + d )cosh(%R c + %R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 183 + +--S 184 of 500 +--m0236:= a0236-r0236 +--E 184 + +--S 185 of 500 +--d0236:= D(m0236,x) +--E 185 + +--S 186 of 500 +t0237:= (d+e*x)*cosh(a+b*x+c*x^2) +--R +--R +--R 2 +--R (117) (e x + d)cosh(c x + b x + a) +--R Type: Expression Integer +--E 186 + +--S 187 of 500 +r0237:= 1/8*(2*c*d-b*e)*exp(1)^(-a+1/4*b^2/c)*%pi^(1/2)*_ + erf(1/2*(b+2*c*x)/c^(1/2))/c^(3/2)+1/8*(2*c*d-b*e)*_ + exp(1)^(a-1/4*b^2/c)*%pi^(1/2)*_ + erfi(1/2*(b+2*c*x)/c^(1/2))/c^(3/2)+1/2*e*_ + sinh(a+b*x+c*x^2)/c +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 187 + +--S 188 of 500 +a0237:= integrate(t0237,x) +--R +--R +--R x +--R ++ 2 +--R (118) | (%R e + d)cosh(%R c + %R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 188 + +--S 189 of 500 +--m0237:= a0237-r0237 +--E 189 + +--S 190 of 500 +--d0237:= D(m0237,x) +--E 190 + +--S 191 of 500 +t0238:= (d+e*x)^2*cosh(a+b*x+c*x^2)^2 +--R +--R +--R 2 2 2 2 2 +--R (119) (e x + 2d e x + d )cosh(c x + b x + a) +--R Type: Expression Integer +--E 191 + +--S 192 of 500 +r0238:= 1/2*d^2*x+1/2*d*e*x^2+1/6*e^2*x^3+_ + 1/64*(4*c^2*d^2-c*(4*b*d-e)*e+b^2*e^2)*_ + exp(1)^(-2*a+1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erf(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)+_ + 1/64*(4*c^2*d^2+b^2*e^2-c*e*(4*b*d+e))*exp(1)^(2*a-1/2*b^2/c)*_ + 2^(1/2)*%pi^(1/2)*erfi(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/c^(5/2)+_ + 1/4*d*e*sinh(2*a+2*b*x+2*c*x^2)/c-_ + 1/16*b*e^2*sinh(2*a+2*b*x+2*c*x^2)/c^2+_ + 1/8*e^2*x*sinh(2*a+2*b*x+2*c*x^2)/c +--R +--R There are 35 exposed and 23 unexposed library operations named * +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op * +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named * +--R with argument type(s) +--R Polynomial Fraction Integer +--R AlgebraicNumber +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 192 + +--S 193 of 500 +a0238:= integrate(t0238,x) +--R +--R +--R x +--R ++ 2 2 2 2 2 +--R (120) | (%R e + 2%R d e + d )cosh(%R c + %R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 193 + +--S 194 of 500 +--m0238:= a0238-r0238 +--E 194 + +--S 195 of 500 +--d0238:= D(m0238,x) +--E 195 + +--S 196 of 500 +t0239:= (d+e*x)*cosh(a+b*x+c*x^2)^2 +--R +--R +--R 2 2 +--R (121) (e x + d)cosh(c x + b x + a) +--R Type: Expression Integer +--E 196 + +--S 197 of 500 +r0239:= 1/2*d*x+1/4*e*x^2+1/32*(2*c*d-b*e)*exp(1)^(-2*a+1/2*b^2/c)*_ + 2^(1/2)*%pi^(1/2)*erf(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/_ + c^(3/2)+1/32*(2*c*d-b*e)*exp(1)^(2*a-1/2*b^2/c)*2^(1/2)*%pi^(1/2)*_ + erfi(1/2*(b+2*c*x)*2^(1/2)/c^(1/2))/c^(3/2)+1/8*e*_ + sinh(2*a+2*b*x+2*c*x^2)/c +--R +--R There are 35 exposed and 23 unexposed library operations named * +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op * +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named * +--R with argument type(s) +--R Polynomial Fraction Integer +--R AlgebraicNumber +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 197 + +--S 198 of 500 +a0239:= integrate(t0239,x) +--R +--R +--R x +--R ++ 2 2 +--R (122) | (%R e + d)cosh(%R c + %R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 198 + +--S 199 of 500 +--m0239:= a0239-r0239 +--E 199 + +--S 200 of 500 +--d0239:= D(m0239,x) +--E 200 + +--S 201 of 500 +t0240:= cosh((a+b*x)/(c+d*x)) +--R +--R +--R b x + a +--R (123) cosh(-------) +--R d x + c +--R Type: Expression Integer +--E 201 + +--S 202 of 500 +r0240:= (c+d*x)*cosh((a+b*x)/(c+d*x))/d+(b*c-a*d)*_ + Chi(-(b*c-a*d)/d/(c+d*x))*sinh(b/d)/d^2+(b*c-a*d)*_ + cosh(b/d)*Shi(a/(c+d*x)-b*c/d/(c+d*x))/d^2 +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 202 + +--S 203 of 500 +a0240:= integrate(t0240,x) +--R +--R +--R x +--R ++ %R b + a +--R (124) | cosh(--------)d%R +--R ++ %R d + c +--R Type: Union(Expression Integer,...) +--E 203 + +--S 204 of 500 +--m0240:= a0240-r0240 +--E 204 + +--S 205 of 500 +--d0240:= D(m0240,x) +--E 205 + +--S 206 of 500 +t0241:= cosh((a+b*x)/(c+d*x))^2 +--R +--R +--R b x + a 2 +--R (125) cosh(-------) +--R d x + c +--R Type: Expression Integer +--E 206 + +--S 207 of 500 +r0241:= 1/2*x+1/2*(c+d*x)*cosh(2*(a+b*x)/(c+d*x))/d+(b*c-a*d)*_ + Chi(-2*(b*c-a*d)/d/(c+d*x))*sinh(2*b/d)/d^2+(b*c-a*d)*_ + cosh(2*b/d)*Shi(2*a/(c+d*x)-2*b*c/d/(c+d*x))/d^2 +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 207 + +--S 208 of 500 +a0241:= integrate(t0241,x) +--R +--R +--R x +--R ++ %R b + a 2 +--R (126) | cosh(--------) d%R +--R ++ %R d + c +--R Type: Union(Expression Integer,...) +--E 208 + +--S 209 of 500 +--m0241:= a0241-r0241 +--E 209 + +--S 210 of 500 +--d0241:= D(m0241,x) +--E 210 + +--S 211 of 500 +t0242:= x^2*cosh(a+b*x^2) +--R +--R +--R 2 2 +--R (127) x cosh(b x + a) +--R Type: Expression Integer +--E 211 + +--S 212 of 500 +r0242:= 1/8/b^(3/2)*(%pi^(1/2)*erf(b^(1/2)*x)+%i*exp(2*a)*%pi^(1/2)*_ + erf(%i*b^(1/2)*x)+4*x*sinh(a+b*x^2)*exp(a)*b^(1/2))*exp(-a) +--R +--R +--R (128) +--R - a +---+ +-+ - a 2a +---+ +-+ +--R %e \|%pi erf(x\|b ) + %i %e %e \|%pi erf(%i x\|b ) +--R + +--R - a a 2 +-+ +--R 4x %e %e sinh(b x + a)\|b +--R / +--R +-+ +--R 8b\|b +--R Type: Expression Complex Integer +--E 212 + +--S 213 of 500 +a0242:= integrate(t0242,x) +--R +--R +--R x +--R ++ 2 2 +--R (129) | %R cosh(%R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 213 + +--S 214 of 500 +--m0242:= a0242-r0242 +--E 214 + +--S 215 of 500 +--d0242:= D(m0242,x) +--E 215 + +--S 216 of 500 +t0243:= cosh(a+b*x^2)/x^2 +--R +--R +--R 2 +--R cosh(b x + a) +--R (130) -------------- +--R 2 +--R x +--R Type: Expression Integer +--E 216 + +--S 217 of 500 +r0243:= -cosh(a+b*x^2)/x-1/2*b^(1/2)*%pi^(1/2)*erf(b^(1/2)*x)/_ + (exp(1)^a)+1/2*b^(1/2)*exp(1)^a*%pi^(1/2)*erfi(b^(1/2)*x) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 217 + +--S 218 of 500 +a0243:= integrate(t0243,x) +--R +--R +--R x 2 +--R ++ cosh(%R b + a) +--R (131) | -------------- d%R +--R ++ 2 +--R %R +--R Type: Union(Expression Integer,...) +--E 218 + +--S 219 of 500 +--m0243:= a0243-r0243 +--E 219 + +--S 220 of 500 +--d0243:= D(m0243,x) +--E 220 + +--S 221 of 500 +t0244:= cosh(a+b*x^2)/x^3 +--R +--R +--R 2 +--R cosh(b x + a) +--R (132) -------------- +--R 3 +--R x +--R Type: Expression Integer +--E 221 + +--S 222 of 500 +r0244:= -1/2*cosh(a+b*x^2)/x^2+1/2*b*Chi(b*x^2)*sinh(a)+_ + 1/2*b*cosh(a)*Shi(b*x^2) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 222 + +--S 223 of 500 +a0244:= integrate(t0244,x) +--R +--R +--R x 2 +--R ++ cosh(%R b + a) +--R (133) | -------------- d%R +--R ++ 3 +--R %R +--R Type: Union(Expression Integer,...) +--E 223 + +--S 224 of 500 +--m0244:= a0244-r0244 +--E 224 + +--S 225 of 500 +--d0244:= D(m0244,x) +--E 225 + +--S 226 of 500 +t0245:= cosh(a+b*x^2)^2/x^3 +--R +--R +--R 2 2 +--R cosh(b x + a) +--R (134) --------------- +--R 3 +--R x +--R Type: Expression Integer +--E 226 + +--S 227 of 500 +r0245:= -1/4*(1+cosh(2*a+2*b*x^2)-2*b*Chi(2*b*x^2)*sinh(2*a)*x^2-_ + 2*b*cosh(2*a)*Shi(2*b*x^2)*x^2)/x^2 +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 227 + +--S 228 of 500 +a0245:= integrate(t0245,x) +--R +--R +--R x 2 2 +--R ++ cosh(%R b + a) +--R (135) | --------------- d%R +--R ++ 3 +--R %R +--R Type: Union(Expression Integer,...) +--E 228 + +--S 229 of 500 +--m0245:= a0245-r0245 +--E 229 + +--S 230 of 500 +--d0245:= D(m0245,x) +--E 230 + +--S 231 of 500 +t0246:= x^2*cosh(a+b*x^2)^3 +--R +--R +--R 2 2 3 +--R (136) x cosh(b x + a) +--R Type: Expression Integer +--E 231 + +--S 232 of 500 +r0246:= 1/288*exp(-3*a)*(27*%pi^(1/2)*erf(b^(1/2)*x)*exp(2*a)+_ + %pi^(1/2)*3^(1/2)*erf(3^(1/2)*b^(1/2)*x)+_ + 27*%i*exp(4*a)*%pi^(1/2)*erf(%i*b^(1/2)*x)+_ + %i*exp(6*a)*3^(1/2)*%pi^(1/2)*erf(%i*3^(1/2)*b^(1/2)*x)+_ + 108*x*sinh(a+b*x^2)*exp(3*a)*b^(1/2)+_ + 12*x*sinh(3*a+3*b*x^2)*exp(3*a)*b^(1/2))/b^(3/2) +--R +--R +--R (137) +--R +-+ - 3a +---+ +-+ +-+ +-+ - 3a 6a +---+ +-+ +-+ +--R \|3 %e \|%pi erf(x\|3 \|b ) + %i\|3 %e %e \|%pi erf(%i x\|3 \|b ) +--R + +--R - 3a 2a +---+ +-+ - 3a 4a +---+ +-+ +--R 27%e %e \|%pi erf(x\|b ) + 27%i %e %e \|%pi erf(%i x\|b ) +--R + +--R - 3a 3a 2 - 3a 3a 2 +-+ +--R (12x %e %e sinh(3b x + 3a) + 108x %e %e sinh(b x + a))\|b +--R / +--R +-+ +--R 288b\|b +--R Type: Expression Complex Integer +--E 232 + +--S 233 of 500 +a0246:= integrate(t0246,x) +--R +--R +--R x +--R ++ 2 2 3 +--R (138) | %R cosh(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 233 + +--S 234 of 500 +--m0246:= a0246-r0246 +--E 234 + +--S 235 of 500 +--d0246:= D(m0246,x) +--E 235 + +--S 236 of 500 +t0247:= cosh(a+b*x^2)^3 +--R +--R +--R 2 3 +--R (139) cosh(b x + a) +--R Type: Expression Integer +--E 236 + +--S 237 of 500 +r0247:= -1/48*%pi^(1/2)*exp(-3*a)*(-9*erf(b^(1/2)*x)*exp(2*a)-_ + 3^(1/2)*erf(3^(1/2)*b^(1/2)*x)+9*%i*exp(4*a)*erf(%i*b^(1/2)*x)+_ + %i*exp(6*a)*3^(1/2)*erf(%i*3^(1/2)*b^(1/2)*x))/b^(1/2) +--R +--R +--R (140) +--R +-+ - 3a +---+ +-+ +-+ +-+ - 3a 6a +---+ +-+ +-+ +--R \|3 %e \|%pi erf(x\|3 \|b ) - %i\|3 %e %e \|%pi erf(%i x\|3 \|b ) +--R + +--R - 3a 2a +---+ +-+ - 3a 4a +---+ +-+ +--R 9%e %e \|%pi erf(x\|b ) - 9%i %e %e \|%pi erf(%i x\|b ) +--R / +--R +-+ +--R 48\|b +--R Type: Expression Complex Integer +--E 237 + +--S 238 of 500 +a0247:= integrate(t0247,x) +--R +--R +--R x +--R ++ 2 3 +--R (141) | cosh(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 238 + +--S 239 of 500 +--m0247:= a0247-r0247 +--E 239 + +--S 240 of 500 +--d0247:= D(m0247,x) +--E 240 + +--S 241 of 500 +t0248:= cosh(a+b*x^2)^3/x^3 +--R +--R +--R 2 3 +--R cosh(b x + a) +--R (142) --------------- +--R 3 +--R x +--R Type: Expression Integer +--E 241 + +--S 242 of 500 +r0248:= -1/8*(3*cosh(a+b*x^2)+cosh(3*a+3*b*x^2)-_ + 3*b*Chi(b*x^2)*sinh(a)*x^2-3*b*Chi(3*b*x^2)*sinh(3*a)*x^2-_ + 3*b*cosh(a)*Shi(b*x^2)*x^2-3*b*cosh(3*a)*Shi(3*b*x^2)*x^2)/x^2 +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 242 + +--S 243 of 500 +a0248:= integrate(t0248,x) +--R +--R +--R x 2 3 +--R ++ cosh(%R b + a) +--R (143) | --------------- d%R +--R ++ 3 +--R %R +--R Type: Union(Expression Integer,...) +--E 243 + +--S 244 of 500 +--m0248:= a0248-r0248 +--E 244 + +--S 245 of 500 +--d0248:= D(m0248,x) +--E 245 + +--S 246 of 500 +t0249:= cosh(a+b*x^n) +--R +--R +--R n +--R (144) cosh(b x + a) +--R Type: Expression Integer +--E 246 + +--S 247 of 500 +r0249:= -1/2*x*(exp(a)*Gamma(1/n,-b*x^n)*(-b*x^n)^(-1/n)+_ + Gamma(1/n,b*x^n)*exp(-a)*(b*x^n)^(-1/n))/n +--R +--R +--R 1 1 +--R - - - - +--R - a n n _ 1 n a n n _ 1 n +--R - x %e (b x ) | (-,b x ) - x %e (- b x ) | (-,- b x ) +--R n n +--R (145) ----------------------------------------------------------- +--R 2n +--R Type: Expression Integer +--E 247 + +--S 248 of 500 +a0249:= integrate(t0249,x) +--R +--R +--R x +--R ++ n +--R (146) | cosh(b %R + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 248 + +--S 249 of 500 +--m0249:= a0249-r0249 +--E 249 + +--S 250 of 500 +--d0249:= D(m0249,x) +--E 250 + +--S 251 of 500 +t0250:= cosh(a+b*x^n)^2 +--R +--R +--R n 2 +--R (147) cosh(b x + a) +--R Type: Expression Integer +--E 251 + +--S 252 of 500 +r0250:= -1/2*x*(2^(-(1+n)/n)*exp(2*a)*(-b*x^n)^(-1/n)*_ + Gamma(1/n,-2*b*x^n)+2^(-(1+n)/n)*exp(-2*a)*(b*x^n)^(-1/n)*_ + Gamma(1/n,2*b*x^n)-n)/n +--R +--R +--R (148) +--R - n - 1 1 +--R ------- - - +--R - 2a n n n _ 1 n +--R - x %e 2 (b x ) | (-,2b x ) +--R n +--R + +--R - n - 1 1 +--R ------- - - +--R 2a n n n _ 1 n +--R - x %e 2 (- b x ) | (-,- 2b x ) + n x +--R n +--R / +--R 2n +--R Type: Expression Integer +--E 252 + +--S 253 of 500 +a0250:= integrate(t0250,x) +--R +--R +--R x +--R ++ n 2 +--R (149) | cosh(b %R + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 253 + +--S 254 of 500 +--m0250:= a0250-r0250 +--E 254 + +--S 255 of 500 +--d0250:= D(m0250,x) +--E 255 + +--S 256 of 500 +t0251:= cosh(a+b*x^n)^3 +--R +--R +--R n 3 +--R (150) cosh(b x + a) +--R Type: Expression Integer +--E 256 + +--S 257 of 500 +r0251:= -1/8*x*(exp(3*a)*Gamma(1/n,-3*b*x^n)*3^(-1/n)*(-b*x^n)^(-1/n)+_ + 3*exp(a)*Gamma(1/n,-b*x^n)*(-b*x^n)^(-1/n)+_ + 3*Gamma(1/n,b*x^n)*exp(-a)*(b*x^n)^(-1/n)+_ + Gamma(1/n,3*b*x^n)*3^(-1/n)*exp(-3*a)*(b*x^n)^(-1/n))/n +--R +--R +--R (151) +--R 1 1 1 +--R - - - - - - +--R - 3a n n n _ 1 n - a n n _ 1 n +--R - x %e 3 (b x ) | (-,3b x ) - 3x %e (b x ) | (-,b x ) +--R n n +--R + +--R 1 1 1 +--R - - - - - - +--R a n n _ 1 n 3a n n n _ 1 n +--R - 3x %e (- b x ) | (-,- b x ) - x %e 3 (- b x ) | (-,- 3b x ) +--R n n +--R / +--R 8n +--R Type: Expression Integer +--E 257 + +--S 258 of 500 +a0251:= integrate(t0251,x) +--R +--R +--R x +--R ++ n 3 +--R (152) | cosh(b %R + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 258 + +--S 259 of 500 +--m0251:= a0251-r0251 +--E 259 + +--S 260 of 500 +--d0251:= D(m0251,x) +--E 260 + +--S 261 of 500 +t0252:= x^m*cosh(a+b*x^n) +--R +--R +--R m n +--R (153) x cosh(b x + a) +--R Type: Expression Integer +--E 261 + +--S 262 of 500 +r0252:= -1/2*x*x^m*(exp(a)*Gamma((1+m)/n,-b*x^n)*(-b*x^n)^(-(1+m)/n)+_ + Gamma((1+m)/n,b*x^n)*exp(-a)*(b*x^n)^(-(1+m)/n))/n +--R +--R +--R (154) +--R - m - 1 +--R ------- +--R - a m n n _ m + 1 n +--R - x %e x (b x ) | (-----,b x ) +--R n +--R + +--R - m - 1 +--R ------- +--R a m n n _ m + 1 n +--R - x %e x (- b x ) | (-----,- b x ) +--R n +--R / +--R 2n +--R Type: Expression Integer +--E 262 + +--S 263 of 500 +a0252:= integrate(t0252,x) +--R +--R +--R x +--R ++ m n +--R (155) | %R cosh(b %R + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 263 + +--S 264 of 500 +--m0252:= a0252-r0252 +--E 264 + +--S 265 of 500 +--d0252:= D(m0252,x) +--E 265 + +--S 266 of 500 +t0253:= x^m*cosh(a+b*x^n)^2 +--R +--R +--R m n 2 +--R (156) x cosh(b x + a) +--R Type: Expression Integer +--E 266 + +--S 267 of 500 +r0253:= x^(1+m)/(2+2*m)-2^(-2-(1+m)/n)*exp(1)^(2*a)*x^(1+m)*_ + Gamma((1+m)/n,-2*b*x^n)/((-b*x^n)^((1+m)/n))/n-_ + 2^(-2-(1+m)/n)*x^(1+m)*Gamma((1+m)/n,2*b*x^n)/_ + (exp(1)^(2*a))/((b*x^n)^((1+m)/n))/n +--R +--R +--R (157) +--R - 2n - m - 1 m + 1 +--R ------------ ----- +--R n m + 1 n n _ m + 1 n +--R (- 2m - 2)2 x (- b x ) | (-----,2b x ) +--R n +--R + +--R - 2n - m - 1 m + 1 +--R ------------ ----- +--R 2a 2 n m + 1 n n _ m + 1 n +--R (- 2m - 2)(%e ) 2 x (b x ) | (-----,- 2b x ) +--R n +--R + +--R m + 1 m + 1 +--R ----- ----- +--R 2a m + 1 n n n n +--R n %e x (- b x ) (b x ) +--R / +--R m + 1 m + 1 +--R ----- ----- +--R 2a n n n n +--R (2m + 2)n %e (- b x ) (b x ) +--R Type: Expression Integer +--E 267 + +--S 268 of 500 +a0253:= integrate(t0253,x) +--R +--R +--R x +--R ++ m n 2 +--R (158) | %R cosh(b %R + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 268 + +--S 269 of 500 +--m0253:= a0253-r0253 +--E 269 + +--S 270 of 500 +--d0253:= D(m0253,x) +--E 270 + +--S 271 of 500 +t0254:= x^m*cosh(a+b*x^n)^3 +--R +--R +--R m n 3 +--R (159) x cosh(b x + a) +--R Type: Expression Integer +--E 271 + +--S 272 of 500 +r0254:= -1/8*x*x^m*(exp(3*a)*Gamma((1+m)/n,-3*b*x^n)*3^(-(1+m)/n)*_ + (-b*x^n)^(-(1+m)/n)+3*exp(a)*Gamma((1+m)/n,-b*x^n)*_ + (-b*x^n)^(-(1+m)/n)+3*Gamma((1+m)/n,b*x^n)*_ + exp(-a)*(b*x^n)^(-(1+m)/n)+Gamma((1+m)/n,3*b*x^n)*_ + 3^(-(1+m)/n)*exp(-3*a)*(b*x^n)^(-(1+m)/n))/n +--R +--R +--R (160) +--R - m - 1 - m - 1 +--R ------- ------- +--R - 3a n m n n _ m + 1 n +--R - x %e 3 x (b x ) | (-----,3b x ) +--R n +--R + +--R - m - 1 +--R ------- +--R - a m n n _ m + 1 n +--R - 3x %e x (b x ) | (-----,b x ) +--R n +--R + +--R - m - 1 +--R ------- +--R a m n n _ m + 1 n +--R - 3x %e x (- b x ) | (-----,- b x ) +--R n +--R + +--R - m - 1 - m - 1 +--R ------- ------- +--R 3a n m n n _ m + 1 n +--R - x %e 3 x (- b x ) | (-----,- 3b x ) +--R n +--R / +--R 8n +--R Type: Expression Integer +--E 272 + +--S 273 of 500 +a0254:= integrate(t0254,x) +--R +--R +--R x +--R ++ m n 3 +--R (161) | %R cosh(b %R + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 273 + +--S 274 of 500 +--m0254:= a0254-r0254 +--E 274 + +--S 275 of 500 +--d0254:= D(m0254,x) +--E 275 + +--S 276 of 500 +t0255:= cosh(a+b/x) +--R +--R +--R a x + b +--R (162) cosh(-------) +--R x +--R Type: Expression Integer +--E 276 + +--S 277 of 500 +r0255:= x*cosh(a+b/x)-b*Chi(b/x)*sinh(a)-b*cosh(a)*Shi(b/x) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 277 + +--S 278 of 500 +a0255:= integrate(t0255,x) +--R +--R +--R x +--R ++ b + %R a +--R (163) | cosh(--------)d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 278 + +--S 279 of 500 +--m0255:= a0255-r0255 +--E 279 + +--S 280 of 500 +--d0255:= D(m0255,x) +--E 280 + +--S 281 of 500 +t0256:= cosh(a+b/x)/x +--R +--R +--R a x + b +--R cosh(-------) +--R x +--R (164) ------------- +--R x +--R Type: Expression Integer +--E 281 + +--S 282 of 500 +r0256:= -cosh(a)*Chi(b/x)-sinh(a)*Shi(b/x) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 282 + +--S 283 of 500 +a0256:= integrate(t0256,x) +--R +--R +--R b + %R a +--R x cosh(--------) +--R ++ %R +--R (165) | -------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 283 + +--S 284 of 500 +--m0256:= a0256-r0256 +--E 284 + +--S 285 of 500 +--d0256:= D(m0256,x) +--E 285 + +--S 286 of 500 +t0257:= cosh(a+b/x^2)/x^4 +--R +--R +--R 2 +--R a x + b +--R cosh(--------) +--R 2 +--R x +--R (166) -------------- +--R 4 +--R x +--R Type: Expression Integer +--E 286 + +--S 287 of 500 +r0257:= -1/8*%pi^(1/2)*erf(b^(1/2)/x)/(exp(1)^a)/b^(3/2)+_ + 1/8*exp(1)^a*%pi^(1/2)*erfi(b^(1/2)/x)/b^(3/2)-1/2*sinh(a+b/x^2)/b/x +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 287 + +--S 288 of 500 +a0257:= integrate(t0257,x) +--R +--R +--R 2 +--R b + %R a +--R cosh(--------) +--R x 2 +--R ++ %R +--R (167) | -------------- d%R +--R ++ 4 +--R %R +--R Type: Union(Expression Integer,...) +--E 288 + +--S 289 of 500 +--m0257:= a0257-r0257 +--E 289 + +--S 290 of 500 +--d0257:= D(m0257,x) +--E 290 + +--S 291 of 500 +t0258:= x/cosh(x)^(3/2)+x*cosh(x)^(1/2) +--R +--R +--R 2 +--R x cosh(x) + x +--R (168) ----------------- +--R +-------+ +--R cosh(x)\|cosh(x) +--R Type: Expression Integer +--E 291 + +--S 292 of 500 +r0258:= -2*(2*cosh(x)-x*sinh(x))/cosh(x)^(1/2) +--R +--R +--R 2x sinh(x) - 4cosh(x) +--R (169) --------------------- +--R +-------+ +--R \|cosh(x) +--R Type: Expression Integer +--E 292 + +--S 293 of 500 +a0258:= integrate(t0258,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 293 + +--S 294 of 500 +--m0258:= a0258-r0258 +--E 294 + +--S 295 of 500 +--d0258:= D(m0258,x) +--E 295 + +--S 296 of 500 +t0259:= x/cosh(x)^(5/2)-1/3*x/cosh(x)^(1/2) +--R +--R +--R 2 +--R - x cosh(x) + 3x +--R (170) ------------------- +--R 2 +-------+ +--R 3cosh(x) \|cosh(x) +--R Type: Expression Integer +--E 296 + +--S 297 of 500 +r0259:= 2/3*(2*cosh(x)+x*sinh(x))/cosh(x)^(3/2) +--R +--R +--R 2x sinh(x) + 4cosh(x) +--R (171) --------------------- +--R +-------+ +--R 3cosh(x)\|cosh(x) +--R Type: Expression Integer +--E 297 + +--S 298 of 500 +a0259:= integrate(t0259,x) +--R +--R +--R (172) +--R 3 2 +--R (4x + 8)sinh(x) + (12x + 24)cosh(x)sinh(x) +--R + +--R 2 3 +--R ((12x + 24)cosh(x) - 4x + 8)sinh(x) + (4x + 8)cosh(x) +--R + +--R (- 4x + 8)cosh(x) +--R * +--R +-------+ +--R \|cosh(x) +--R / +--R 4 3 2 2 +--R 3sinh(x) + 12cosh(x)sinh(x) + (18cosh(x) + 6)sinh(x) +--R + +--R 3 4 2 +--R (12cosh(x) + 12cosh(x))sinh(x) + 3cosh(x) + 6cosh(x) + 3 +--R Type: Union(Expression Integer,...) +--E 298 + +--S 299 of 500 +m0259:= a0259-r0259 +--R +--R +--R (173) +--R 5 4 +--R - 2x sinh(x) + (- 8x - 4)cosh(x)sinh(x) +--R + +--R 2 3 +--R ((- 8x - 8)cosh(x) - 4x)sinh(x) +--R + +--R 3 2 +--R (4x cosh(x) + (- 8x - 8)cosh(x))sinh(x) +--R + +--R 4 2 5 +--R ((10x + 8)cosh(x) + (- 8x - 8)cosh(x) - 2x)sinh(x) + (4x + 4)cosh(x) +--R + +--R 3 +--R - 4x cosh(x) - 4cosh(x) +--R / +--R 4 2 3 3 2 +--R 3cosh(x)sinh(x) + 12cosh(x) sinh(x) + (18cosh(x) + 6cosh(x))sinh(x) +--R + +--R 4 2 5 3 +--R (12cosh(x) + 12cosh(x) )sinh(x) + 3cosh(x) + 6cosh(x) + 3cosh(x) +--R * +--R +-------+ +--R \|cosh(x) +--R Type: Expression Integer +--E 299 + +--S 300 of 500 +d0259:= D(m0259,x) +--R +--R +--R (174) +--R 8 7 2 6 +--R 3x sinh(x) + 18x cosh(x)sinh(x) + ((45x + 4)cosh(x) + 9x)sinh(x) +--R + +--R 3 5 +--R ((54x + 16)cosh(x) + 36x cosh(x))sinh(x) +--R + +--R 4 2 4 +--R ((15x + 20)cosh(x) + (48x + 8)cosh(x) + 9x)sinh(x) +--R + +--R 5 3 3 +--R (- 42x cosh(x) + (36x + 24)cosh(x) + 18x cosh(x))sinh(x) +--R + +--R 6 4 2 +--R ((- 57x - 20)cosh(x) + (45x + 24)cosh(x) + (x + 4)cosh(x) + 3x) +--R * +--R 2 +--R sinh(x) +--R + +--R 7 5 3 +--R ((- 30x - 16)cosh(x) + (48x + 8)cosh(x) + (- 18x + 8)cosh(x) )sinh(x) +--R + +--R 8 6 4 2 +--R (- 6x - 4)cosh(x) + 18x cosh(x) + (- 10x + 4)cosh(x) - 2x cosh(x) +--R / +--R 2 6 3 5 +--R 3cosh(x) sinh(x) + 18cosh(x) sinh(x) +--R + +--R 4 2 4 5 3 3 +--R (45cosh(x) + 9cosh(x) )sinh(x) + (60cosh(x) + 36cosh(x) )sinh(x) +--R + +--R 6 4 2 2 +--R (45cosh(x) + 54cosh(x) + 9cosh(x) )sinh(x) +--R + +--R 7 5 3 8 6 +--R (18cosh(x) + 36cosh(x) + 18cosh(x) )sinh(x) + 3cosh(x) + 9cosh(x) +--R + +--R 4 2 +--R 9cosh(x) + 3cosh(x) +--R * +--R +-------+ +--R \|cosh(x) +--R Type: Expression Integer +--E 300 + +--S 301 of 500 +t0260:= x/cosh(x)^(7/2)+3/5*x*cosh(x)^(1/2) +--R +--R +--R 4 +--R 3x cosh(x) + 5x +--R (175) ------------------- +--R 3 +-------+ +--R 5cosh(x) \|cosh(x) +--R Type: Expression Integer +--E 301 + +--S 302 of 500 +r0260:= -2/15*(-2*cosh(x)+18*cosh(x)^3-3*x*sinh(x)-_ + 9*x*sinh(x)*cosh(x)^2)/cosh(x)^(5/2) +--R +--R +--R 2 3 +--R (18x cosh(x) + 6x)sinh(x) - 36cosh(x) + 4cosh(x) +--R (176) -------------------------------------------------- +--R 2 +-------+ +--R 15cosh(x) \|cosh(x) +--R Type: Expression Integer +--E 302 + +--S 303 of 500 +a0260:= integrate(t0260,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 303 + +--S 304 of 500 +--m0260:= a0260-r0260 +--E 304 + +--S 305 of 500 +--d0260:= D(m0260,x) +--E 305 + +--S 306 of 500 +t0261:= x^2/cosh(x)^(3/2)+x^2*cosh(x)^(1/2) +--R +--R +--R 2 2 2 +--R x cosh(x) + x +--R (177) ----------------- +--R +-------+ +--R cosh(x)\|cosh(x) +--R Type: Expression Integer +--E 306 + +--S 307 of 500 +r0261:= -8*x*cosh(x)^(1/2)-16*%i*_ + EllipticE(1/2*%i*x,2)+2*x^2*sinh(x)/cosh(x)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Polynomial Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 307 + +--S 308 of 500 +a0261:= integrate(t0261,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 308 + +--S 309 of 500 +--m0261:= a0261-r0261 +--E 309 + +--S 310 of 500 +--d0261:= D(m0261,x) +--E 310 + +--S 311 of 500 +t0262:= cosh(a+b*log(c*x^n)) +--R +--R +--R n +--R (178) cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 311 + +--S 312 of 500 +r0262:= -x*(cosh(a+b*log(c*x^n))-_ + b*n*sinh(a+b*log(c*x^n)))/(-1+b^2*n^2) +--R +--R +--R n n +--R b n x sinh(b log(c x ) + a) - x cosh(b log(c x ) + a) +--R (179) ----------------------------------------------------- +--R 2 2 +--R b n - 1 +--R Type: Expression Integer +--E 312 + +--S 313 of 500 +a0262:= integrate(t0262,x) +--R +--R +--R (180) +--R b n x sinh(b n log(x) + b log(c) + a) - x cosh(b n log(x) + b log(c) + a) +--R ------------------------------------------------------------------------- +--R 2 2 +--R b n - 1 +--R Type: Union(Expression Integer,...) +--E 313 + +--S 314 of 500 +m0262:= a0262-r0262 +--R +--R +--R (181) +--R n n +--R - b n x sinh(b log(c x ) + a) + x cosh(b log(c x ) + a) +--R + +--R b n x sinh(b n log(x) + b log(c) + a) - x cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 +--R b n - 1 +--R Type: Expression Integer +--E 314 + +--S 315 of 500 +d0262:= D(m0262,x) +--R +--R +--R (182) +--R n n - 1 n +--R (- b n x + b n x x )sinh(b log(c x ) + a) +--R + +--R n 2 2 n - 1 n +--R (x - b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n +--R (b n - 1)x cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 n +--R (b n - 1)x +--R Type: Expression Integer +--E 315 + +--S 316 of 500 +t0263:= x*cosh(a+b*log(c*x^n)) +--R +--R +--R n +--R (183) x cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 316 + +--S 317 of 500 +r0263:= -x^2*(2*cosh(a+b*log(c*x^n))-b*n*sinh(a+b*log(c*x^n)))/(-4+b^2*n^2) +--R +--R +--R 2 n 2 n +--R b n x sinh(b log(c x ) + a) - 2x cosh(b log(c x ) + a) +--R (184) ------------------------------------------------------ +--R 2 2 +--R b n - 4 +--R Type: Expression Integer +--E 317 + +--S 318 of 500 +a0263:= integrate(t0263,x) +--R +--R +--R (185) +--R 2 2 +--R b n x sinh(b n log(x) + b log(c) + a) - 2x cosh(b n log(x) + b log(c) + a) +--R -------------------------------------------------------------------------- +--R 2 2 +--R b n - 4 +--R Type: Union(Expression Integer,...) +--E 318 + +--S 319 of 500 +m0263:= a0263-r0263 +--R +--R +--R (186) +--R 2 n 2 n +--R - b n x sinh(b log(c x ) + a) + 2x cosh(b log(c x ) + a) +--R + +--R 2 2 +--R b n x sinh(b n log(x) + b log(c) + a) - 2x cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 +--R b n - 4 +--R Type: Expression Integer +--E 319 + +--S 320 of 500 +d0263:= D(m0263,x) +--R +--R +--R (187) +--R n 2 n - 1 n +--R (- 2b n x x + 2b n x x )sinh(b log(c x ) + a) +--R + +--R n 2 2 2 n - 1 n +--R (4x x - b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n +--R (b n - 4)x x cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 n +--R (b n - 4)x +--R Type: Expression Integer +--E 320 + +--S 321 of 500 +t0264:= x^2*cosh(a+b*log(c*x^n)) +--R +--R +--R 2 n +--R (188) x cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 321 + +--S 322 of 500 +r0264:= -x^3*(3*cosh(a+b*log(c*x^n))-b*n*sinh(a+b*log(c*x^n)))/(-9+b^2*n^2) +--R +--R +--R 3 n 3 n +--R b n x sinh(b log(c x ) + a) - 3x cosh(b log(c x ) + a) +--R (189) ------------------------------------------------------ +--R 2 2 +--R b n - 9 +--R Type: Expression Integer +--E 322 + +--S 323 of 500 +a0264:= integrate(t0264,x) +--R +--R +--R (190) +--R 3 3 +--R b n x sinh(b n log(x) + b log(c) + a) - 3x cosh(b n log(x) + b log(c) + a) +--R -------------------------------------------------------------------------- +--R 2 2 +--R b n - 9 +--R Type: Union(Expression Integer,...) +--E 323 + +--S 324 of 500 +m0264:= a0264-r0264 +--R +--R +--R (191) +--R 3 n 3 n +--R - b n x sinh(b log(c x ) + a) + 3x cosh(b log(c x ) + a) +--R + +--R 3 3 +--R b n x sinh(b n log(x) + b log(c) + a) - 3x cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 +--R b n - 9 +--R Type: Expression Integer +--E 324 + +--S 325 of 500 +d0264:= D(m0264,x) +--R +--R +--R (192) +--R 2 n 3 n - 1 n +--R (- 3b n x x + 3b n x x )sinh(b log(c x ) + a) +--R + +--R 2 n 2 2 3 n - 1 n +--R (9x x - b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 2 n +--R (b n - 9)x x cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 n +--R (b n - 9)x +--R Type: Expression Integer +--E 325 + +--S 326 of 500 +t0265:= cosh(a+b*log(c*x^n))/x^2 +--R +--R +--R n +--R cosh(b log(c x ) + a) +--R (193) --------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 326 + +--S 327 of 500 +r0265:= (cosh(a+b*log(c*x^n))+b*n*sinh(a+b*log(c*x^n)))/(-1+b^2*n^2)/x +--R +--R +--R n n +--R b n sinh(b log(c x ) + a) + cosh(b log(c x ) + a) +--R (194) ------------------------------------------------- +--R 2 2 +--R (b n - 1)x +--R Type: Expression Integer +--E 327 + +--S 328 of 500 +a0265:= integrate(t0265,x) +--R +--R +--R (195) +--R b n sinh(b n log(x) + b log(c) + a) + cosh(b n log(x) + b log(c) + a) +--R --------------------------------------------------------------------- +--R 2 2 +--R (b n - 1)x +--R Type: Union(Expression Integer,...) +--E 328 + +--S 329 of 500 +m0265:= a0265-r0265 +--R +--R +--R (196) +--R n n +--R - b n sinh(b log(c x ) + a) - cosh(b log(c x ) + a) +--R + +--R b n sinh(b n log(x) + b log(c) + a) + cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 +--R (b n - 1)x +--R Type: Expression Integer +--E 329 + +--S 330 of 500 +d0265:= D(m0265,x) +--R +--R +--R (197) +--R n n - 1 n +--R (b n x - b n x x )sinh(b log(c x ) + a) +--R + +--R n 2 2 n - 1 n +--R (x - b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n +--R (b n - 1)x cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 2 n +--R (b n - 1)x x +--R Type: Expression Integer +--E 330 + +--S 331 of 500 +t0266:= x^m*cosh(a+b*log(c*x^n)) +--R +--R +--R m n +--R (198) x cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 331 + +--S 332 of 500 +r0266:= (1+m)*x^(1+m)*cosh(a+b*log(c*x^n))/((1+m)^2-b^2*n^2)-_ + b*n*x^(1+m)*sinh(a+b*log(c*x^n))/((1+m)^2-b^2*n^2) +--R +--R +--R (199) +--R m + 1 n m + 1 n +--R b n x sinh(b log(c x ) + a) + (- m - 1)x cosh(b log(c x ) + a) +--R ---------------------------------------------------------------------- +--R 2 2 2 +--R b n - m - 2m - 1 +--R Type: Expression Integer +--E 332 + +--S 333 of 500 +a0266:= integrate(t0266,x) +--R +--R +--R (200) +--R (b n x sinh(m log(x)) + b n x cosh(m log(x))) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R (- m - 1)x cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R (- m - 1)x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 2 +--R b n - m - 2m - 1 +--R Type: Union(Expression Integer,...) +--E 333 + +--S 334 of 500 +m0266:= a0266-r0266 +--R +--R +--R (201) +--R m + 1 n m + 1 n +--R - b n x sinh(b log(c x ) + a) + (m + 1)x cosh(b log(c x ) + a) +--R + +--R (b n x sinh(m log(x)) + b n x cosh(m log(x))) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R (- m - 1)x cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R (- m - 1)x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 2 +--R b n - m - 2m - 1 +--R Type: Expression Integer +--E 334 + +--S 335 of 500 +d0266:= D(m0266,x) +--R +--R +--R (202) +--R m n m + 1 n - 1 n +--R ((- b m - b)n x x + (b m + b)n x x )sinh(b log(c x ) + a) +--R + +--R 2 m n 2 2 m + 1 n - 1 n +--R ((m + 2m + 1)x x - b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 2 n +--R (b n - m - 2m - 1)x cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R 2 2 2 n +--R (b n - m - 2m - 1)x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R / +--R 2 2 2 n +--R (b n - m - 2m - 1)x +--R Type: Expression Integer +--E 335 + +--S 336 of 500 +t0267:= cosh(a+b*log(c*x^n))^2 +--R +--R +--R n 2 +--R (203) cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 336 + +--S 337 of 500 +r0267:= -x*(-2*b^2*n^2+cosh(a+b*log(c*x^n))^2-_ + 2*b*n*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n)))/(-1+4*b^2*n^2) +--R +--R +--R (204) +--R n n +--R 2b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 2 +--R - x cosh(b log(c x ) + a) + 2b n x +--R / +--R 2 2 +--R 4b n - 1 +--R Type: Expression Integer +--E 337 + +--S 338 of 500 +a0267:= integrate(t0267,x) +--R +--R +--R (205) +--R 2 +--R - x sinh(b n log(x) + b log(c) + a) +--R + +--R 4b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R - x cosh(b n log(x) + b log(c) + a) + (4b n - 1)x +--R / +--R 2 2 +--R 8b n - 2 +--R Type: Union(Expression Integer,...) +--E 338 + +--S 339 of 500 +m0267:= a0267-r0267 +--R +--R +--R (206) +--R n n +--R - 4b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 +--R 2x cosh(b log(c x ) + a) - x sinh(b n log(x) + b log(c) + a) +--R + +--R 4b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 +--R - x cosh(b n log(x) + b log(c) + a) - x +--R / +--R 2 2 +--R 8b n - 2 +--R Type: Expression Integer +--E 339 + +--S 340 of 500 +d0267:= D(m0267,x) +--R +--R +--R (207) +--R 2 2 n - 1 n 2 +--R - 4b n x x sinh(b log(c x ) + a) +--R + +--R n n - 1 n n +--R (- 4b n x + 4b n x x )cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 n - 1 n 2 +--R (2x - 4b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n 2 +--R (4b n - 1)x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 n 2 n +--R (4b n - 1)x cosh(b n log(x) + b log(c) + a) - x +--R / +--R 2 2 n +--R (8b n - 2)x +--R Type: Expression Integer +--E 340 + +--S 341 of 500 +t0268:= x*cosh(a+b*log(c*x^n))^2 +--R +--R +--R n 2 +--R (208) x cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 341 + +--S 342 of 500 +r0268:= -1/4/(-1+b^2*n^2)*x^2*(-b^2*n^2+2*cosh(a+b*log(c*x^n))^2-_ + 2*b*n*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))) +--R +--R +--R (209) +--R 2 n n +--R 2b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 n 2 2 2 2 +--R - 2x cosh(b log(c x ) + a) + b n x +--R / +--R 2 2 +--R 4b n - 4 +--R Type: Expression Integer +--E 342 + +--S 343 of 500 +a0268:= integrate(t0268,x) +--R +--R +--R (210) +--R 2 2 +--R - x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 +--R 2b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 2 +--R - x cosh(b n log(x) + b log(c) + a) + (b n - 1)x +--R / +--R 2 2 +--R 4b n - 4 +--R Type: Union(Expression Integer,...) +--E 343 + +--S 344 of 500 +m0268:= a0268-r0268 +--R +--R +--R (211) +--R 2 n n +--R - 2b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 n 2 2 2 +--R 2x cosh(b log(c x ) + a) - x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 +--R 2b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R - x cosh(b n log(x) + b log(c) + a) - x +--R / +--R 2 2 +--R 4b n - 4 +--R Type: Expression Integer +--E 344 + +--S 345 of 500 +d0268:= D(m0268,x) +--R +--R +--R (212) +--R 2 2 2 n - 1 n 2 +--R - b n x x sinh(b log(c x ) + a) +--R + +--R n 2 n - 1 n n +--R (- 2b n x x + 2b n x x )cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 2 n - 1 n 2 +--R (2x x - b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n 2 +--R (b n - 1)x x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 n 2 n +--R (b n - 1)x x cosh(b n log(x) + b log(c) + a) - x x +--R / +--R 2 2 n +--R (2b n - 2)x +--R Type: Expression Integer +--E 345 + +--S 346 of 500 +t0269:= x^2*cosh(a+b*log(c*x^n))^2 +--R +--R +--R 2 n 2 +--R (213) x cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 346 + +--S 347 of 500 +r0269:= -1/3/(-9+4*b^2*n^2)*x^3*(-2*b^2*n^2+9*cosh(a+b*log(c*x^n))^2-_ + 6*b*n*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))) +--R +--R +--R (214) +--R 3 n n +--R 6b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 3 n 2 2 2 3 +--R - 9x cosh(b log(c x ) + a) + 2b n x +--R / +--R 2 2 +--R 12b n - 27 +--R Type: Expression Integer +--E 347 + +--S 348 of 500 +a0269:= integrate(t0269,x) +--R +--R +--R (215) +--R 3 2 +--R - 9x sinh(b n log(x) + b log(c) + a) +--R + +--R 3 +--R 12b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 3 2 2 2 3 +--R - 9x cosh(b n log(x) + b log(c) + a) + (4b n - 9)x +--R / +--R 2 2 +--R 24b n - 54 +--R Type: Union(Expression Integer,...) +--E 348 + +--S 349 of 500 +m0269:= a0269-r0269 +--R +--R +--R (216) +--R 3 n n +--R - 4b n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 3 n 2 3 2 +--R 6x cosh(b log(c x ) + a) - 3x sinh(b n log(x) + b log(c) + a) +--R + +--R 3 +--R 4b n x cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 3 2 3 +--R - 3x cosh(b n log(x) + b log(c) + a) - 3x +--R / +--R 2 2 +--R 8b n - 18 +--R Type: Expression Integer +--E 349 + +--S 350 of 500 +d0269:= D(m0269,x) +--R +--R +--R (217) +--R 2 2 3 n - 1 n 2 +--R - 4b n x x sinh(b log(c x ) + a) +--R + +--R 2 n 3 n - 1 n n +--R (- 12b n x x + 12b n x x )cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 n 2 2 3 n - 1 n 2 +--R (18x x - 4b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 2 n 2 +--R (4b n - 9)x x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 n 2 2 n +--R (4b n - 9)x x cosh(b n log(x) + b log(c) + a) - 9x x +--R / +--R 2 2 n +--R (8b n - 18)x +--R Type: Expression Integer +--E 350 + +--S 351 of 500 +t0270:= cosh(a+b*log(c*x^n))^2/x^2 +--R +--R +--R n 2 +--R cosh(b log(c x ) + a) +--R (218) ---------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 351 + +--S 352 of 500 +r0270:= (-2*b^2*n^2+cosh(a+b*log(c*x^n))^2+_ + 2*b*n*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n)))/(-1+4*b^2*n^2)/x +--R +--R +--R (219) +--R n n n 2 +--R 2b n cosh(b log(c x ) + a)sinh(b log(c x ) + a) + cosh(b log(c x ) + a) +--R + +--R 2 2 +--R - 2b n +--R / +--R 2 2 +--R (4b n - 1)x +--R Type: Expression Integer +--E 352 + +--S 353 of 500 +a0270:= integrate(t0270,x) +--R +--R +--R (220) +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 4b n cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R cosh(b n log(x) + b log(c) + a) - 4b n + 1 +--R / +--R 2 2 +--R (8b n - 2)x +--R Type: Union(Expression Integer,...) +--E 353 + +--S 354 of 500 +m0270:= a0270-r0270 +--R +--R +--R (221) +--R n n +--R - 4b n cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 +--R - 2cosh(b log(c x ) + a) + sinh(b n log(x) + b log(c) + a) +--R + +--R 4b n cosh(b n log(x) + b log(c) + a)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 +--R cosh(b n log(x) + b log(c) + a) + 1 +--R / +--R 2 2 +--R (8b n - 2)x +--R Type: Expression Integer +--E 354 + +--S 355 of 500 +d0270:= D(m0270,x) +--R +--R +--R (222) +--R 2 2 n - 1 n 2 +--R - 4b n x x sinh(b log(c x ) + a) +--R + +--R n n - 1 n n +--R (4b n x - 4b n x x )cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R n 2 2 n - 1 n 2 +--R (2x - 4b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n 2 +--R (4b n - 1)x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 n 2 n +--R (4b n - 1)x cosh(b n log(x) + b log(c) + a) - x +--R / +--R 2 2 2 n +--R (8b n - 2)x x +--R Type: Expression Integer +--E 355 + +--S 356 of 500 +t0271:= x^m*cosh(a+b*log(c*x^n))^2 +--R +--R +--R m n 2 +--R (223) x cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 356 + +--S 357 of 500 +r0271:= -2*b^2*n^2*x^(1+m)/(1+m)/((1+m)^2-4*b^2*n^2)+_ + (1+m)*x^(1+m)*cosh(a+b*log(c*x^n))^2/((1+m)^2-4*b^2*n^2)-_ + 2*b*n*x^(1+m)*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))/((1+m)^2-_ + 4*b^2*n^2) +--R +--R +--R (224) +--R m + 1 n n +--R (2b m + 2b)n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 m + 1 n 2 2 2 m + 1 +--R (- m - 2m - 1)x cosh(b log(c x ) + a) + 2b n x +--R / +--R 2 2 2 3 2 +--R (4b m + 4b )n - m - 3m - 3m - 1 +--R Type: Expression Integer +--E 357 + +--S 358 of 500 +a0271:= integrate(t0271,x) +--R +--R +--R (225) +--R 2 2 +--R ((- m - 2m - 1)x sinh(m log(x)) + (- m - 2m - 1)x cosh(m log(x))) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R (4b m + 4b)n x cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R (4b m + 4b)n x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (- m - 2m - 1)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (4b n - m - 2m - 1)x +--R * +--R sinh(m log(x)) +--R + +--R 2 2 +--R (- m - 2m - 1)x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (4b n - m - 2m - 1)x cosh(m log(x)) +--R / +--R 2 2 2 3 2 +--R (8b m + 8b )n - 2m - 6m - 6m - 2 +--R Type: Union(Expression Integer,...) +--E 358 + +--S 359 of 500 +m0271:= a0271-r0271 +--R +--R +--R (226) +--R m + 1 n n +--R (- 4b m - 4b)n x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 2 m + 1 n 2 +--R (2m + 4m + 2)x cosh(b log(c x ) + a) +--R + +--R 2 2 +--R ((- m - 2m - 1)x sinh(m log(x)) + (- m - 2m - 1)x cosh(m log(x))) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R (4b m + 4b)n x cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R (4b m + 4b)n x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (- m - 2m - 1)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (4b n - m - 2m - 1)x +--R * +--R sinh(m log(x)) +--R + +--R 2 2 +--R (- m - 2m - 1)x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 2 m + 1 +--R (4b n - m - 2m - 1)x cosh(m log(x)) - 4b n x +--R / +--R 2 2 2 3 2 +--R (8b m + 8b )n - 2m - 6m - 6m - 2 +--R Type: Expression Integer +--E 359 + +--S 360 of 500 +d0271:= D(m0271,x) +--R +--R +--R (227) +--R 2 2 m + 1 n - 1 n 2 +--R - 4b n x x sinh(b log(c x ) + a) +--R + +--R m n m + 1 n - 1 n +--R ((- 4b m - 4b)n x x + (4b m + 4b)n x x )cosh(b log(c x ) + a) +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 m n 2 2 m + 1 n - 1 n 2 +--R ((2m + 4m + 2)x x - 4b n x x )cosh(b log(c x ) + a) +--R + +--R 2 2 2 n +--R (4b n - m - 2m - 1)x sinh(m log(x)) +--R + +--R 2 2 2 n +--R (4b n - m - 2m - 1)x cosh(m log(x)) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 n 2 +--R (4b n - m - 2m - 1)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 n +--R (4b n - m - 2m - 1)x +--R * +--R sinh(m log(x)) +--R + +--R 2 2 2 n 2 +--R (4b n - m - 2m - 1)x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 n 2 2 m n +--R (4b n - m - 2m - 1)x cosh(m log(x)) - 4b n x x +--R / +--R 2 2 2 n +--R (8b n - 2m - 4m - 2)x +--R Type: Expression Integer +--E 360 + +--S 361 of 500 +t0272:= cosh(a+b*log(c*x^n))^3 +--R +--R +--R n 3 +--R (228) cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 361 + +--S 362 of 500 +r0272:= -6*b^2*n^2*x*cosh(a+b*log(c*x^n))/(1-9*b^2*n^2)/(1-b^2*n^2)+_ + x*cosh(a+b*log(c*x^n))^3/(1-9*b^2*n^2)+_ + 6*b^3*n^3*x*sinh(a+b*log(c*x^n))/(1-9*b^2*n^2)/(1-b^2*n^2)-_ + 3*b*n*x*cosh(a+b*log(c*x^n))^2*sinh(a+b*log(c*x^n))/(1-9*b^2*n^2) +--R +--R +--R (229) +--R 3 3 n 2 3 3 n +--R ((3b n - 3b n)x cosh(b log(c x ) + a) + 6b n x)sinh(b log(c x ) + a) +--R + +--R 2 2 n 3 2 2 n +--R (- b n + 1)x cosh(b log(c x ) + a) - 6b n x cosh(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R 9b n - 10b n + 1 +--R Type: Expression Integer +--E 362 + +--S 363 of 500 +a0272:= integrate(t0272,x) +--R +--R +--R (230) +--R 3 3 3 +--R (3b n - 3b n)x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (- 3b n + 3)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 3 3 +--R ((9b n - 9b n)x cosh(b n log(x) + b log(c) + a) + (27b n - 3b n)x) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (- b n + 1)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (- 27b n + 3)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 36b n - 40b n + 4 +--R Type: Union(Expression Integer,...) +--E 363 + +--S 364 of 500 +m0272:= a0272-r0272 +--R +--R +--R (231) +--R 3 3 n 2 3 3 +--R ((- 12b n + 12b n)x cosh(b log(c x ) + a) - 24b n x) +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 2 n 3 2 2 n +--R (4b n - 4)x cosh(b log(c x ) + a) + 24b n x cosh(b log(c x ) + a) +--R + +--R 3 3 3 +--R (3b n - 3b n)x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (- 3b n + 3)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 3 3 +--R ((9b n - 9b n)x cosh(b n log(x) + b log(c) + a) + (27b n - 3b n)x) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (- b n + 1)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (- 27b n + 3)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 36b n - 40b n + 4 +--R Type: Expression Integer +--E 364 + +--S 365 of 500 +d0272:= D(m0272,x) +--R +--R +--R (232) +--R 4 4 2 2 n - 1 n n 2 +--R (- 24b n + 24b n )x x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 +--R ((- 12b n + 12b n)x + (12b n - 12b n)x x ) +--R * +--R n 2 +--R cosh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 +--R - 24b n x + 24b n x x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 2 n 4 4 2 2 n - 1 n 3 +--R ((4b n - 4)x + (- 12b n + 12b n )x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n 4 4 n - 1 n +--R (24b n x - 24b n x x )cosh(b log(c x ) + a) +--R + +--R 4 4 2 2 n +--R (27b n - 30b n + 3)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n 3 +--R (9b n - 10b n + 1)x cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n +--R (27b n - 30b n + 3)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 n +--R (36b n - 40b n + 4)x +--R Type: Expression Integer +--E 365 + +--S 366 of 500 +t0273:= x*cosh(a+b*log(c*x^n))^3 +--R +--R +--R n 3 +--R (233) x cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 366 + +--S 367 of 500 +r0273:= -x^2*(12*b^2*n^2*cosh(a+b*log(c*x^n))-8*cosh(a+b*log(c*x^n))^3+_ + 2*cosh(a+b*log(c*x^n))^3*b^2*n^2-6*b^3*n^3*sinh(a+b*log(c*x^n))+_ + 12*b*n*cosh(a+b*log(c*x^n))^2*sinh(a+b*log(c*x^n))-_ + 3*b^3*n^3*cosh(a+b*log(c*x^n))^2*_ + sinh(a+b*log(c*x^n)))/(-4+9*b^2*n^2)/(-4+b^2*n^2) +--R +--R +--R (234) +--R 3 3 2 n 2 3 3 2 n +--R ((3b n - 12b n)x cosh(b log(c x ) + a) + 6b n x )sinh(b log(c x ) + a) +--R + +--R 2 2 2 n 3 2 2 2 n +--R (- 2b n + 8)x cosh(b log(c x ) + a) - 12b n x cosh(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R 9b n - 40b n + 16 +--R Type: Expression Integer +--E 367 + +--S 368 of 500 +a0273:= integrate(t0273,x) +--R +--R +--R (235) +--R 3 3 2 3 +--R (3b n - 12b n)x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (- 6b n + 24)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 2 +--R (9b n - 36b n)x cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (27b n - 12b n)x +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 +--R (- 2b n + 8)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (- 54b n + 24)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 36b n - 160b n + 64 +--R Type: Union(Expression Integer,...) +--E 368 + +--S 369 of 500 +m0273:= a0273-r0273 +--R +--R +--R (236) +--R 3 3 2 n 2 3 3 2 +--R ((- 12b n + 48b n)x cosh(b log(c x ) + a) - 24b n x ) +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 2 2 n 3 2 2 2 n +--R (8b n - 32)x cosh(b log(c x ) + a) + 48b n x cosh(b log(c x ) + a) +--R + +--R 3 3 2 3 +--R (3b n - 12b n)x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (- 6b n + 24)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 2 +--R (9b n - 36b n)x cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (27b n - 12b n)x +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 +--R (- 2b n + 8)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (- 54b n + 24)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 36b n - 160b n + 64 +--R Type: Expression Integer +--E 369 + +--S 370 of 500 +d0273:= D(m0273,x) +--R +--R +--R (237) +--R 4 4 2 2 2 n - 1 n n 2 +--R (- 24b n + 96b n )x x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 2 n - 1 +--R ((- 24b n + 96b n)x x + (24b n - 96b n)x x ) +--R * +--R n 2 +--R cosh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 2 n - 1 +--R - 48b n x x + 48b n x x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 2 n 4 4 2 2 2 n - 1 n 3 +--R ((16b n - 64)x x + (- 12b n + 48b n )x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n 4 4 2 n - 1 n +--R (96b n x x - 24b n x x )cosh(b log(c x ) + a) +--R + +--R 4 4 2 2 n +--R (27b n - 120b n + 48)x x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n 3 +--R (9b n - 40b n + 16)x x cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n +--R (27b n - 120b n + 48)x x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 n +--R (36b n - 160b n + 64)x +--R Type: Expression Integer +--E 370 + +--S 371 of 500 +t0274:= x^2*cosh(a+b*log(c*x^n))^3 +--R +--R +--R 2 n 3 +--R (238) x cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 371 + +--S 372 of 500 +r0274:= -1/3*x^3*(6*b^2*n^2*cosh(a+b*log(c*x^n))-_ + 9*cosh(a+b*log(c*x^n))^3+cosh(a+b*log(c*x^n))^3*b^2*n^2-_ + 2*b^3*n^3*sinh(a+b*log(c*x^n))+9*b*n*cosh(a+b*log(c*x^n))^2*_ + sinh(a+b*log(c*x^n))-b^3*n^3*cosh(a+b*log(c*x^n))^2*_ + sinh(a+b*log(c*x^n)))/(-1+b^2*n^2)/(-9+b^2*n^2) +--R +--R +--R (239) +--R 3 3 3 n 2 3 3 3 n +--R ((b n - 9b n)x cosh(b log(c x ) + a) + 2b n x )sinh(b log(c x ) + a) +--R + +--R 2 2 3 n 3 2 2 3 n +--R (- b n + 9)x cosh(b log(c x ) + a) - 6b n x cosh(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R 3b n - 30b n + 27 +--R Type: Expression Integer +--E 372 + +--S 373 of 500 +a0274:= integrate(t0274,x) +--R +--R +--R (240) +--R 3 3 3 3 +--R (b n - 9b n)x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (- 3b n + 27)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 2 3 3 3 +--R ((3b n - 27b n)x cosh(b n log(x) + b log(c) + a) + (9b n - 9b n)x ) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 3 +--R (- b n + 9)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (- 27b n + 27)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 12b n - 120b n + 108 +--R Type: Union(Expression Integer,...) +--E 373 + +--S 374 of 500 +m0274:= a0274-r0274 +--R +--R +--R (241) +--R 3 3 3 n 2 3 3 3 +--R ((- 4b n + 36b n)x cosh(b log(c x ) + a) - 8b n x ) +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 2 3 n 3 2 2 3 n +--R (4b n - 36)x cosh(b log(c x ) + a) + 24b n x cosh(b log(c x ) + a) +--R + +--R 3 3 3 3 +--R (b n - 9b n)x sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (- 3b n + 27)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 3 2 3 3 3 +--R ((3b n - 27b n)x cosh(b n log(x) + b log(c) + a) + (9b n - 9b n)x ) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 3 +--R (- b n + 9)x cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (- 27b n + 27)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 12b n - 120b n + 108 +--R Type: Expression Integer +--E 374 + +--S 375 of 500 +d0274:= D(m0274,x) +--R +--R +--R (242) +--R 4 4 2 2 3 n - 1 n n 2 +--R (- 8b n + 72b n )x x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 3 3 2 n 3 3 3 n - 1 +--R ((- 12b n + 108b n)x x + (12b n - 108b n)x x ) +--R * +--R n 2 +--R cosh(b log(c x ) + a) +--R + +--R 3 3 2 n 3 3 3 n - 1 +--R - 24b n x x + 24b n x x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 2 2 n 4 4 2 2 3 n - 1 n 3 +--R ((12b n - 108)x x + (- 4b n + 36b n )x x )cosh(b log(c x ) + a) +--R + +--R 2 2 2 n 4 4 3 n - 1 n +--R (72b n x x - 8b n x x )cosh(b log(c x ) + a) +--R + +--R 4 4 2 2 2 n +--R (9b n - 90b n + 81)x x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 n 3 +--R (3b n - 30b n + 27)x x cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 n +--R (9b n - 90b n + 81)x x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 n +--R (12b n - 120b n + 108)x +--R Type: Expression Integer +--E 375 + +--S 376 of 500 +t0275:= cosh(a+b*log(c*x^n))^3/x^2 +--R +--R +--R n 3 +--R cosh(b log(c x ) + a) +--R (243) ---------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 376 + +--S 377 of 500 +r0275:= (6*b^2*n^2*cosh(a+b*log(c*x^n))-cosh(a+b*log(c*x^n))^3+_ + cosh(a+b*log(c*x^n))^3*b^2*n^2+6*b^3*n^3*sinh(a+b*log(c*x^n))-_ + 3*b*n*cosh(a+b*log(c*x^n))^2*sinh(a+b*log(c*x^n))+_ + 3*b^3*n^3*cosh(a+b*log(c*x^n))^2*_ + sinh(a+b*log(c*x^n)))/(-1+9*b^2*n^2)/(-1+b^2*n^2)/x +--R +--R +--R (244) +--R 3 3 n 2 3 3 n +--R ((3b n - 3b n)cosh(b log(c x ) + a) + 6b n )sinh(b log(c x ) + a) +--R + +--R 2 2 n 3 2 2 n +--R (b n - 1)cosh(b log(c x ) + a) + 6b n cosh(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R (9b n - 10b n + 1)x +--R Type: Expression Integer +--E 377 + +--S 378 of 500 +a0275:= integrate(t0275,x) +--R +--R +--R (245) +--R 3 3 3 +--R (3b n - 3b n)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (3b n - 3)cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 3 3 +--R ((9b n - 9b n)cosh(b n log(x) + b log(c) + a) + 27b n - 3b n) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (b n - 1)cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (27b n - 3)cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R (36b n - 40b n + 4)x +--R Type: Union(Expression Integer,...) +--E 378 + +--S 379 of 500 +m0275:= a0275-r0275 +--R +--R +--R (246) +--R 3 3 n 2 3 3 n +--R ((- 12b n + 12b n)cosh(b log(c x ) + a) - 24b n )sinh(b log(c x ) + a) +--R + +--R 2 2 n 3 2 2 n +--R (- 4b n + 4)cosh(b log(c x ) + a) - 24b n cosh(b log(c x ) + a) +--R + +--R 3 3 3 +--R (3b n - 3b n)sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (3b n - 3)cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 3 3 +--R ((9b n - 9b n)cosh(b n log(x) + b log(c) + a) + 27b n - 3b n) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (b n - 1)cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R (27b n - 3)cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R (36b n - 40b n + 4)x +--R Type: Expression Integer +--E 379 + +--S 380 of 500 +d0275:= D(m0275,x) +--R +--R +--R (247) +--R 4 4 2 2 n - 1 n n 2 +--R (- 24b n + 24b n )x x cosh(b log(c x ) + a)sinh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 +--R ((12b n - 12b n)x + (- 12b n + 12b n)x x ) +--R * +--R n 2 +--R cosh(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 +--R 24b n x - 24b n x x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 2 n 4 4 2 2 n - 1 n 3 +--R ((4b n - 4)x + (- 12b n + 12b n )x x )cosh(b log(c x ) + a) +--R + +--R 2 2 n 4 4 n - 1 n +--R (24b n x - 24b n x x )cosh(b log(c x ) + a) +--R + +--R 4 4 2 2 n +--R (27b n - 30b n + 3)x cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n 3 +--R (9b n - 10b n + 1)x cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n +--R (27b n - 30b n + 3)x cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 2 n +--R (36b n - 40b n + 4)x x +--R Type: Expression Integer +--E 380 + +--S 381 of 500 +t0276:= x^m*cosh(a+b*log(c*x^n))^3 +--R +--R +--R m n 3 +--R (248) x cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 381 + +--S 382 of 500 +r0276:= -6*b^2*(1+m)*n^2*x^(1+m)*cosh(a+b*log(c*x^n))/_ + ((1+m)^2-9*b^2*n^2)/((1+m)^2-b^2*n^2)+(1+m)*x^(1+m)*_ + cosh(a+b*log(c*x^n))^3/((1+m)^2-9*b^2*n^2)+6*b^3*n^3*x^(1+m)*_ + sinh(a+b*log(c*x^n))/((1+m)^2-9*b^2*n^2)/((1+m)^2-b^2*n^2)-_ + 3*b*n*x^(1+m)*cosh(a+b*log(c*x^n))^2*_ + sinh(a+b*log(c*x^n))/((1+m)^2-9*b^2*n^2) +--R +--R +--R (249) +--R 3 3 2 m + 1 n 2 +--R (3b n + (- 3b m - 6b m - 3b)n)x cosh(b log(c x ) + a) +--R + +--R 3 3 m + 1 +--R 6b n x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 2 2 3 2 m + 1 n 3 +--R ((- b m - b )n + m + 3m + 3m + 1)x cosh(b log(c x ) + a) +--R + +--R 2 2 2 m + 1 n +--R (- 6b m - 6b )n x cosh(b log(c x ) + a) +--R / +--R 4 4 2 2 2 2 2 4 3 2 +--R 9b n + (- 10b m - 20b m - 10b )n + m + 4m + 6m + 4m + 1 +--R Type: Expression Integer +--E 382 + +--S 383 of 500 +a0276:= integrate(t0276,x) +--R +--R +--R (250) +--R 3 3 2 +--R (3b n + (- 3b m - 6b m - 3b)n)x sinh(m log(x)) +--R + +--R 3 3 2 +--R (3b n + (- 3b m - 6b m - 3b)n)x cosh(m log(x)) +--R * +--R 3 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((- 3b m - 3b )n + 3m + 9m + 9m + 3)x +--R * +--R cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R 2 2 2 3 2 +--R ((- 3b m - 3b )n + 3m + 9m + 9m + 3)x cosh(m log(x)) +--R * +--R cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (9b n + (- 9b m - 18b m - 9b)n)x +--R * +--R 2 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (27b n + (- 3b m - 6b m - 3b)n)x +--R * +--R sinh(m log(x)) +--R + +--R 3 3 2 +--R (9b n + (- 9b m - 18b m - 9b)n)x cosh(m log(x)) +--R * +--R 2 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (27b n + (- 3b m - 6b m - 3b)n)x cosh(m log(x)) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((- b m - b )n + m + 3m + 3m + 1)x +--R * +--R 3 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((- 27b m - 27b )n + 3m + 9m + 9m + 3)x +--R * +--R cosh(b n log(x) + b log(c) + a) +--R * +--R sinh(m log(x)) +--R + +--R 2 2 2 3 2 +--R ((- b m - b )n + m + 3m + 3m + 1)x cosh(m log(x)) +--R * +--R 3 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((- 27b m - 27b )n + 3m + 9m + 9m + 3)x cosh(m log(x)) +--R * +--R cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 2 2 2 4 3 2 +--R 36b n + (- 40b m - 80b m - 40b )n + 4m + 16m + 24m + 16m + 4 +--R Type: Union(Expression Integer,...) +--E 383 + +--S 384 of 500 +m0276:= a0276-r0276 +--R +--R +--R (251) +--R 3 3 2 m + 1 n 2 +--R (- 12b n + (12b m + 24b m + 12b)n)x cosh(b log(c x ) + a) +--R + +--R 3 3 m + 1 +--R - 24b n x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 2 2 3 2 m + 1 n 3 +--R ((4b m + 4b )n - 4m - 12m - 12m - 4)x cosh(b log(c x ) + a) +--R + +--R 2 2 2 m + 1 n +--R (24b m + 24b )n x cosh(b log(c x ) + a) +--R + +--R 3 3 2 +--R (3b n + (- 3b m - 6b m - 3b)n)x sinh(m log(x)) +--R + +--R 3 3 2 +--R (3b n + (- 3b m - 6b m - 3b)n)x cosh(m log(x)) +--R * +--R 3 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((- 3b m - 3b )n + 3m + 9m + 9m + 3)x +--R * +--R cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R 2 2 2 3 2 +--R ((- 3b m - 3b )n + 3m + 9m + 9m + 3)x cosh(m log(x)) +--R * +--R cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (9b n + (- 9b m - 18b m - 9b)n)x +--R * +--R 2 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (27b n + (- 3b m - 6b m - 3b)n)x +--R * +--R sinh(m log(x)) +--R + +--R 3 3 2 +--R (9b n + (- 9b m - 18b m - 9b)n)x cosh(m log(x)) +--R * +--R 2 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 3 3 2 +--R (27b n + (- 3b m - 6b m - 3b)n)x cosh(m log(x)) +--R * +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((- b m - b )n + m + 3m + 3m + 1)x +--R * +--R 3 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((- 27b m - 27b )n + 3m + 9m + 9m + 3)x +--R * +--R cosh(b n log(x) + b log(c) + a) +--R * +--R sinh(m log(x)) +--R + +--R 2 2 2 3 2 +--R ((- b m - b )n + m + 3m + 3m + 1)x cosh(m log(x)) +--R * +--R 3 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 +--R ((- 27b m - 27b )n + 3m + 9m + 9m + 3)x cosh(m log(x)) +--R * +--R cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 2 2 2 4 3 2 +--R 36b n + (- 40b m - 80b m - 40b )n + 4m + 16m + 24m + 16m + 4 +--R Type: Expression Integer +--E 384 + +--S 385 of 500 +d0276:= D(m0276,x) +--R +--R +--R (252) +--R 4 4 2 2 2 2 2 m + 1 n - 1 n +--R (- 24b n + (24b m + 48b m + 24b )n )x x cosh(b log(c x ) + a) +--R * +--R n 2 +--R sinh(b log(c x ) + a) +--R + +--R 3 3 3 3 2 m n +--R ((- 12b m - 12b )n + (12b m + 36b m + 36b m + 12b)n)x x +--R + +--R 3 3 3 3 2 m + 1 n - 1 +--R ((12b m + 12b )n + (- 12b m - 36b m - 36b m - 12b)n)x x +--R * +--R n 2 +--R cosh(b log(c x ) + a) +--R + +--R 3 3 3 m n 3 3 3 m + 1 n - 1 +--R (- 24b m - 24b )n x x + (24b m + 24b )n x x +--R * +--R n +--R sinh(b log(c x ) + a) +--R + +--R 2 2 2 2 2 4 3 2 m n +--R ((4b m + 8b m + 4b )n - 4m - 16m - 24m - 16m - 4)x x +--R + +--R 4 4 2 2 2 2 2 m + 1 n - 1 +--R (- 12b n + (12b m + 24b m + 12b )n )x x +--R * +--R n 3 +--R cosh(b log(c x ) + a) +--R + +--R 2 2 2 2 2 m n 4 4 m + 1 n - 1 n +--R ((24b m + 48b m + 24b )n x x - 24b n x x )cosh(b log(c x ) + a) +--R + +--R 4 4 2 2 2 2 2 4 3 2 +--R 27b n + (- 30b m - 60b m - 30b )n + 3m + 12m + 18m + 12m +--R + +--R 3 +--R * +--R n +--R x cosh(b n log(x) + b log(c) + a)sinh(m log(x)) +--R + +--R 4 4 2 2 2 2 2 4 3 2 +--R 27b n + (- 30b m - 60b m - 30b )n + 3m + 12m + 18m + 12m +--R + +--R 3 +--R * +--R n +--R x cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sinh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 2 2 4 3 2 n +--R (9b n + (- 10b m - 20b m - 10b )n + m + 4m + 6m + 4m + 1)x +--R * +--R 3 +--R cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 2 2 4 3 2 +--R 27b n + (- 30b m - 60b m - 30b )n + 3m + 12m + 18m + 12m +--R + +--R 3 +--R * +--R n +--R x cosh(b n log(x) + b log(c) + a) +--R * +--R sinh(m log(x)) +--R + +--R 4 4 2 2 2 2 2 4 3 2 n +--R (9b n + (- 10b m - 20b m - 10b )n + m + 4m + 6m + 4m + 1)x +--R * +--R 3 +--R cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 2 2 4 3 2 n +--R (27b n + (- 30b m - 60b m - 30b )n + 3m + 12m + 18m + 12m + 3)x +--R * +--R cosh(m log(x))cosh(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 2 2 2 4 3 2 n +--R (36b n + (- 40b m - 80b m - 40b )n + 4m + 16m + 24m + 16m + 4)x +--R Type: Expression Integer +--E 385 + +--S 386 of 500 +t0277:= tanh(a+b*x) +--R +--R +--R (253) tanh(b x + a) +--R Type: Expression Integer +--E 386 + +--S 387 of 500 +r0277:= log(cosh(a+b*x))/b +--R +--R +--R log(cosh(b x + a)) +--R (254) ------------------ +--R b +--R Type: Expression Integer +--E 387 + +--S 388 of 500 +a0277:= integrate(t0277,x) +--R +--R +--R 2cosh(b x + a) +--R log(- -----------------------------) - b x +--R sinh(b x + a) - cosh(b x + a) +--R (255) ------------------------------------------ +--R b +--R Type: Union(Expression Integer,...) +--E 388 + +--S 389 of 500 +m0277:= a0277-r0277 +--R +--R +--R 2cosh(b x + a) +--R - log(cosh(b x + a)) + log(- -----------------------------) - b x +--R sinh(b x + a) - cosh(b x + a) +--R (256) ----------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 389 + +--S 390 of 500 +d0277:= D(m0277,x) +--R +--R +--R (257) 0 +--R Type: Expression Integer +--E 390 + +--S 391 of 500 +t0278:= tanh(a+b*x)^2 +--R +--R +--R 2 +--R (258) tanh(b x + a) +--R Type: Expression Integer +--E 391 + +--S 392 of 500 +r0278:= x-tanh(a+b*x)/b +--R +--R +--R - tanh(b x + a) + b x +--R (259) --------------------- +--R b +--R Type: Expression Integer +--E 392 + +--S 393 of 500 +a0278:= integrate(t0278,x) +--R +--R +--R - sinh(b x + a) + (b x + 1)cosh(b x + a) +--R (260) ---------------------------------------- +--R b cosh(b x + a) +--R Type: Union(Expression Integer,...) +--E 393 + +--S 394 of 500 +m0278:= a0278-r0278 +--R +--R +--R cosh(b x + a)tanh(b x + a) - sinh(b x + a) + cosh(b x + a) +--R (261) ---------------------------------------------------------- +--R b cosh(b x + a) +--R Type: Expression Integer +--E 394 + +--S 395 of 500 +d0278:= D(m0278,x) +--R +--R +--R 2 2 2 +--R - cosh(b x + a) tanh(b x + a) + sinh(b x + a) +--R (262) ----------------------------------------------- +--R 2 +--R cosh(b x + a) +--R Type: Expression Integer +--E 395 + +--S 396 of 500 +t0279:= tanh(a+b*x)^4 +--R +--R +--R 4 +--R (263) tanh(b x + a) +--R Type: Expression Integer +--E 396 + +--S 397 of 500 +r0279:= x-tanh(a+b*x)/b-1/3*tanh(a+b*x)^3/b +--R +--R +--R 3 +--R - tanh(b x + a) - 3tanh(b x + a) + 3b x +--R (264) ---------------------------------------- +--R 3b +--R Type: Expression Integer +--E 397 + +--S 398 of 500 +a0279:= integrate(t0279,x) +--R +--R +--R (265) +--R 3 2 +--R - 4sinh(b x + a) + (9b x + 12)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 +--R - 12cosh(b x + a) sinh(b x + a) + (3b x + 4)cosh(b x + a) +--R + +--R (9b x + 12)cosh(b x + a) +--R / +--R 2 3 +--R 9b cosh(b x + a)sinh(b x + a) + 3b cosh(b x + a) + 9b cosh(b x + a) +--R Type: Union(Expression Integer,...) +--E 398 + +--S 399 of 500 +m0279:= a0279-r0279 +--R +--R +--R (266) +--R 2 3 +--R (3cosh(b x + a)sinh(b x + a) + cosh(b x + a) + 3cosh(b x + a)) +--R * +--R 3 +--R tanh(b x + a) +--R + +--R 2 3 +--R (9cosh(b x + a)sinh(b x + a) + 3cosh(b x + a) + 9cosh(b x + a)) +--R * +--R tanh(b x + a) +--R + +--R 3 2 +--R - 4sinh(b x + a) + 12cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 +--R - 12cosh(b x + a) sinh(b x + a) + 4cosh(b x + a) + 12cosh(b x + a) +--R / +--R 2 3 +--R 9b cosh(b x + a)sinh(b x + a) + 3b cosh(b x + a) + 9b cosh(b x + a) +--R Type: Expression Integer +--E 399 + +--S 400 of 500 +d0279:= D(m0279,x) +--R +--R +--R (267) +--R 2 4 +--R - 9cosh(b x + a) sinh(b x + a) +--R + +--R 4 2 2 6 +--R (- 6cosh(b x + a) - 18cosh(b x + a) )sinh(b x + a) - cosh(b x + a) +--R + +--R 4 2 +--R - 6cosh(b x + a) - 9cosh(b x + a) +--R * +--R 4 +--R tanh(b x + a) +--R + +--R 6 2 4 +--R 4sinh(b x + a) + (- 3cosh(b x + a) + 4)sinh(b x + a) +--R + +--R 4 2 2 6 +--R (18cosh(b x + a) - 6cosh(b x + a) )sinh(b x + a) - 3cosh(b x + a) +--R + +--R 4 2 +--R - 6cosh(b x + a) + 9cosh(b x + a) +--R / +--R 2 4 +--R 9cosh(b x + a) sinh(b x + a) +--R + +--R 4 2 2 6 +--R (6cosh(b x + a) + 18cosh(b x + a) )sinh(b x + a) + cosh(b x + a) +--R + +--R 4 2 +--R 6cosh(b x + a) + 9cosh(b x + a) +--R Type: Expression Integer +--E 400 + +--S 401 of 500 +t0280:= tanh(a+b*x)^(1/2) +--R +--R +--R +-------------+ +--R (268) \|tanh(b x + a) +--R Type: Expression Integer +--E 401 + +--S 402 of 500 +r0280:= -(atan(tanh(a+b*x)^(1/2))-atanh(tanh(a+b*x)^(1/2)))/b +--R +--R +--R +-------------+ +-------------+ +--R atanh(\|tanh(b x + a) ) - atan(\|tanh(b x + a) ) +--R (269) ------------------------------------------------ +--R b +--R Type: Expression Integer +--E 402 + +--S 403 of 500 +a0280:= integrate(t0280,x) +--R +--R +--R (270) +--R - +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R - +--R 2 +--R * +--R atan +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) + 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R / +--R 2b +--R Type: Union(Expression Integer,...) +--E 403 + +--S 404 of 500 +m0280:= a0280-r0280 +--R +--R +--R (271) +--R - +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R +-------------+ +-------------+ +--R - 2atanh(\|tanh(b x + a) ) + 2atan(\|tanh(b x + a) ) +--R + +--R - +--R 2 +--R * +--R atan +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) + 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R / +--R 2b +--R Type: Expression Integer +--E 404 + +--S 405 of 500 +d0280:= D(m0280,x) +--R +--R +--R (272) +--R 8 7 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 6 +--R (- 18cosh(b x + a) + 3)sinh(b x + a) +--R + +--R 3 5 +--R - 86cosh(b x + a) sinh(b x + a) +--R + +--R 4 2 4 +--R (- 160cosh(b x + a) - 13cosh(b x + a) + 3)sinh(b x + a) +--R + +--R 5 3 +--R (- 154cosh(b x + a) - 8cosh(b x + a) - 2cosh(b x + a)) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- 78cosh(b x + a) + 9cosh(b x + a) - 4cosh(b x + a) + 1) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R (- 18cosh(b x + a) + 8cosh(b x + a) + 2cosh(b x + a) ) +--R * +--R sinh(b x + a) +--R + +--R 8 6 4 2 +--R - cosh(b x + a) + cosh(b x + a) + cosh(b x + a) - cosh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 8 7 +--R - 2sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 6 +--R (46cosh(b x + a) - 2)sinh(b x + a) +--R + +--R 3 5 +--R (130cosh(b x + a) + 2cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 4 +--R (170cosh(b x + a) + 12cosh(b x + a) + 2)sinh(b x + a) +--R + +--R 5 3 3 +--R (118cosh(b x + a) + 4cosh(b x + a) - 2cosh(b x + a))sinh(b x + a) +--R + +--R 6 4 2 +--R (42cosh(b x + a) - 10cosh(b x + a) - 2cosh(b x + a) + 2) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 6cosh(b x + a) - 6cosh(b x + a) + 2cosh(b x + a) +--R + +--R - 2cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R + +--R 7 2 6 +--R - 4cosh(b x + a)sinh(b x + a) - 32cosh(b x + a) sinh(b x + a) +--R + +--R 3 5 +--R (- 100cosh(b x + a) - 12cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 4 +--R (- 160cosh(b x + a) - 48cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 140cosh(b x + a) - 72cosh(b x + a) - 12cosh(b x + a)) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- 64cosh(b x + a) - 48cosh(b x + a) - 16cosh(b x + a) ) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 12cosh(b x + a) - 12cosh(b x + a) - 4cosh(b x + a) +--R + +--R - 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 7 2 6 +--R 12cosh(b x + a)sinh(b x + a) + 64cosh(b x + a) sinh(b x + a) +--R + +--R 3 5 +--R (140cosh(b x + a) + 24cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 4 +--R (160cosh(b x + a) + 72cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (100cosh(b x + a) + 72cosh(b x + a) + 12cosh(b x + a)) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (32cosh(b x + a) + 24cosh(b x + a) + 16cosh(b x + a) ) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 7 3 +--R (4cosh(b x + a) + 4cosh(b x + a) )sinh(b x + a) +--R * +--R tanh(b x + a) +--R / +--R 7 2 6 +--R 4cosh(b x + a)sinh(b x + a) + 32cosh(b x + a) sinh(b x + a) +--R + +--R 3 5 +--R (100cosh(b x + a) + 12cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 4 +--R (160cosh(b x + a) + 48cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (140cosh(b x + a) + 72cosh(b x + a) + 12cosh(b x + a)) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (64cosh(b x + a) + 48cosh(b x + a) + 16cosh(b x + a) ) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 12cosh(b x + a) + 12cosh(b x + a) + 4cosh(b x + a) +--R + +--R 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 7 2 6 +--R - 12cosh(b x + a)sinh(b x + a) - 64cosh(b x + a) sinh(b x + a) +--R + +--R 3 5 +--R (- 140cosh(b x + a) - 24cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 4 +--R (- 160cosh(b x + a) - 72cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 100cosh(b x + a) - 72cosh(b x + a) - 12cosh(b x + a)) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- 32cosh(b x + a) - 24cosh(b x + a) - 16cosh(b x + a) ) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 7 3 +--R (- 4cosh(b x + a) - 4cosh(b x + a) )sinh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R Type: Expression Integer +--E 405 + +--S 406 of 500 +t0281:= tanh(a+b*x)^(3/2) +--R +--R +--R +-------------+ +--R (273) tanh(b x + a)\|tanh(b x + a) +--R Type: Expression Integer +--E 406 + +--S 407 of 500 +r0281:= (atan(tanh(a+b*x)^(1/2))+atanh(tanh(a+b*x)^(1/2))-_ + 2*tanh(a+b*x)^(1/2))/b +--R +--R +--R +-------------+ +-------------+ +-------------+ +--R atanh(\|tanh(b x + a) ) + atan(\|tanh(b x + a) ) - 2\|tanh(b x + a) +--R (274) -------------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 407 + +--S 408 of 500 +a0281:= integrate(t0281,x) +--R +--R +--R (275) +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) + 1 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) +--R + +--R 2 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) - 2 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 8 +--R / +--R 2 2 +--R 2b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) + 2b cosh(b x + a) +--R + +--R 2b +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - 2b sinh(b x + a) - 4b cosh(b x + a)sinh(b x + a) - 2b cosh(b x + a) +--R + +--R - 2b +--R Type: Union(Expression Integer,...) +--E 408 + +--S 409 of 500 +m0281:= a0281-r0281 +--R +--R +--R (276) +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) + 1 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) +--R + +--R - 2 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) + 2 +--R * +--R +-------------+ +--R atanh(\|tanh(b x + a) ) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) +--R + +--R - 2 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) + 2 +--R * +--R +-------------+ +--R atan(\|tanh(b x + a) ) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) +--R + +--R 2 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) - 2 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 +--R 4sinh(b x + a) + 8cosh(b x + a)sinh(b x + a) + 4cosh(b x + a) +--R + +--R 4 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - 4sinh(b x + a) - 8cosh(b x + a)sinh(b x + a) - 4cosh(b x + a) - 4 +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R + +--R 8 +--R / +--R 2 2 +--R 2b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) + 2b cosh(b x + a) +--R + +--R 2b +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - 2b sinh(b x + a) - 4b cosh(b x + a)sinh(b x + a) - 2b cosh(b x + a) +--R + +--R - 2b +--R Type: Expression Integer +--E 409 + +--S 410 of 500 +d0281:= D(m0281,x) +--R +--R +--R (277) +--R 13 12 +--R sinh(b x + a) + 11cosh(b x + a)sinh(b x + a) +--R + +--R 2 11 +--R (14cosh(b x + a) + 5)sinh(b x + a) +--R + +--R 3 10 +--R (- 230cosh(b x + a) + 25cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (- 1381cosh(b x + a) - 5cosh(b x + a) + 10)sinh(b x + a) +--R + +--R 5 3 +--R (- 3927cosh(b x + a) - 273cosh(b x + a) + 14cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 6924cosh(b x + a) - 718cosh(b x + a) - 40cosh(b x + a) +--R + +--R 10 +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 8196cosh(b x + a) - 742cosh(b x + a) - 72cosh(b x + a) +--R + +--R 2cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R - 6681cosh(b x + a) - 42cosh(b x + a) + 28cosh(b x + a) +--R + +--R 2 +--R - 30cosh(b x + a) + 5 +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R - 3731cosh(b x + a) + 670cosh(b x + a) + 100cosh(b x + a) +--R + +--R 3 +--R - 6cosh(b x + a) + 7cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R - 1378cosh(b x + a) + 697cosh(b x + a) + 24cosh(b x + a) +--R + +--R 4 2 +--R 30cosh(b x + a) - 14cosh(b x + a) + 1 +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R - 310cosh(b x + a) + 317cosh(b x + a) - 40cosh(b x + a) +--R + +--R 5 3 +--R 6cosh(b x + a) - 10cosh(b x + a) + 5cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R - 35cosh(b x + a) + 63cosh(b x + a) - 22cosh(b x + a) +--R + +--R 6 4 2 +--R - 10cosh(b x + a) + 9cosh(b x + a) - 5cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 13 11 9 +--R - cosh(b x + a) + 3cosh(b x + a) - 2cosh(b x + a) +--R + +--R 7 5 3 +--R - 2cosh(b x + a) + 3cosh(b x + a) - cosh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 13 12 +--R - 4sinh(b x + a) - 20cosh(b x + a)sinh(b x + a) +--R + +--R 2 11 +--R (44cosh(b x + a) - 12)sinh(b x + a) +--R + +--R 3 10 +--R (644cosh(b x + a) - 32cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (2496cosh(b x + a) + 92cosh(b x + a) - 8)sinh(b x + a) +--R + +--R 5 3 +--R (5496cosh(b x + a) + 512cosh(b x + a) - 8cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (7896cosh(b x + a) + 840cosh(b x + a) + 40cosh(b x + a) + 8) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R (7752cosh(b x + a) + 448cosh(b x + a) + 56cosh(b x + a) ) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R 5244cosh(b x + a) - 392cosh(b x + a) - 40cosh(b x + a) +--R + +--R 2 +--R - 24cosh(b x + a) + 12 +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 2396cosh(b x + a) - 768cosh(b x + a) - 88cosh(b x + a) +--R + +--R - 4cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R 700cosh(b x + a) - 508cosh(b x + a) - 8cosh(b x + a) +--R + +--R 4 2 +--R 24cosh(b x + a) - 20cosh(b x + a) + 4 +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R 116cosh(b x + a) - 160cosh(b x + a) + 40cosh(b x + a) +--R + +--R 3 +--R 4cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R 8cosh(b x + a) - 20cosh(b x + a) + 16cosh(b x + a) +--R + +--R 6 4 2 +--R - 8cosh(b x + a) + 8cosh(b x + a) - 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R + +--R 12 2 11 +--R - 4cosh(b x + a)sinh(b x + a) - 76cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (- 524cosh(b x + a) - 20cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (- 1956cosh(b x + a) - 292cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 4584cosh(b x + a) - 1536cosh(b x + a) - 40cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- 7224cosh(b x + a) - 4256cosh(b x + a) - 424cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 7896cosh(b x + a) - 7112cosh(b x + a) - 1576cosh(b x + a) +--R + +--R - 40cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R - 6024cosh(b x + a) - 7560cosh(b x + a) - 2920cosh(b x + a) +--R + +--R 2 +--R - 280cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R - 3156cosh(b x + a) - 5152cosh(b x + a) - 3000cosh(b x + a) +--R + +--R 3 +--R - 640cosh(b x + a) - 20cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R - 1084cosh(b x + a) - 2176cosh(b x + a) - 1720cosh(b x + a) +--R + +--R 4 2 +--R - 640cosh(b x + a) - 76cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R - 220cosh(b x + a) - 516cosh(b x + a) - 504cosh(b x + a) +--R + +--R 5 3 +--R - 280cosh(b x + a) - 76cosh(b x + a) - 4cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R - 20cosh(b x + a) - 52cosh(b x + a) - 56cosh(b x + a) +--R + +--R 6 4 2 +--R - 40cosh(b x + a) - 20cosh(b x + a) - 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R 2 |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 12 2 11 +--R 20cosh(b x + a)sinh(b x + a) + 220cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (1084cosh(b x + a) + 88cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (3156cosh(b x + a) + 744cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (6024cosh(b x + a) + 2752cosh(b x + a) + 152cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (7896cosh(b x + a) + 5824cosh(b x + a) + 920cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 7224cosh(b x + a) + 7728cosh(b x + a) + 2328cosh(b x + a) +--R + +--R 128cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R 4584cosh(b x + a) + 6608cosh(b x + a) + 3160cosh(b x + a) +--R + +--R 2 +--R 488cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 1956cosh(b x + a) + 3584cosh(b x + a) + 2440cosh(b x + a) +--R + +--R 3 +--R 704cosh(b x + a) + 52cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R 524cosh(b x + a) + 1152cosh(b x + a) + 1032cosh(b x + a) +--R + +--R 4 2 +--R 464cosh(b x + a) + 92cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R 76cosh(b x + a) + 184cosh(b x + a) + 200cosh(b x + a) +--R + +--R 5 3 +--R 128cosh(b x + a) + 44cosh(b x + a) + 8cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R 4cosh(b x + a) + 8cosh(b x + a) + 8cosh(b x + a) +--R + +--R 6 4 +--R 8cosh(b x + a) + 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R 2 +--R tanh(b x + a) +--R / +--R 12 2 11 +--R 4cosh(b x + a)sinh(b x + a) + 76cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (524cosh(b x + a) + 20cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (1956cosh(b x + a) + 292cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (4584cosh(b x + a) + 1536cosh(b x + a) + 40cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (7224cosh(b x + a) + 4256cosh(b x + a) + 424cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 7896cosh(b x + a) + 7112cosh(b x + a) + 1576cosh(b x + a) +--R + +--R 40cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R 6024cosh(b x + a) + 7560cosh(b x + a) + 2920cosh(b x + a) +--R + +--R 2 +--R 280cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 3156cosh(b x + a) + 5152cosh(b x + a) + 3000cosh(b x + a) +--R + +--R 3 +--R 640cosh(b x + a) + 20cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R 1084cosh(b x + a) + 2176cosh(b x + a) + 1720cosh(b x + a) +--R + +--R 4 2 +--R 640cosh(b x + a) + 76cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R 220cosh(b x + a) + 516cosh(b x + a) + 504cosh(b x + a) +--R + +--R 5 3 +--R 280cosh(b x + a) + 76cosh(b x + a) + 4cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R 20cosh(b x + a) + 52cosh(b x + a) + 56cosh(b x + a) +--R + +--R 6 4 2 +--R 40cosh(b x + a) + 20cosh(b x + a) + 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 12 2 11 +--R - 20cosh(b x + a)sinh(b x + a) - 220cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (- 1084cosh(b x + a) - 88cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (- 3156cosh(b x + a) - 744cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 6024cosh(b x + a) - 2752cosh(b x + a) - 152cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- 7896cosh(b x + a) - 5824cosh(b x + a) - 920cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 7224cosh(b x + a) - 7728cosh(b x + a) - 2328cosh(b x + a) +--R + +--R - 128cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R - 4584cosh(b x + a) - 6608cosh(b x + a) - 3160cosh(b x + a) +--R + +--R 2 +--R - 488cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R - 1956cosh(b x + a) - 3584cosh(b x + a) - 2440cosh(b x + a) +--R + +--R 3 +--R - 704cosh(b x + a) - 52cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R - 524cosh(b x + a) - 1152cosh(b x + a) - 1032cosh(b x + a) +--R + +--R 4 2 +--R - 464cosh(b x + a) - 92cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R - 76cosh(b x + a) - 184cosh(b x + a) - 200cosh(b x + a) +--R + +--R 5 3 +--R - 128cosh(b x + a) - 44cosh(b x + a) - 8cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R - 4cosh(b x + a) - 8cosh(b x + a) - 8cosh(b x + a) +--R + +--R 6 4 +--R - 8cosh(b x + a) - 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R Type: Expression Integer +--E 410 + +--S 411 of 500 +t0282:= tanh(a+b*x)^(5/2) +--R +--R +--R 2 +-------------+ +--R (278) tanh(b x + a) \|tanh(b x + a) +--R Type: Expression Integer +--E 411 + +--S 412 of 500 +r0282:= -1/3*(3*atan(tanh(a+b*x)^(1/2))-3*atanh(tanh(a+b*x)^(1/2))+_ + 2*tanh(a+b*x)^(3/2))/b +--R +--R +--R (279) +--R +-------------+ +-------------+ +--R 3atanh(\|tanh(b x + a) ) - 3atan(\|tanh(b x + a) ) +--R + +--R +-------------+ +--R - 2tanh(b x + a)\|tanh(b x + a) +--R / +--R 3b +--R Type: Expression Integer +--E 412 + +--S 413 of 500 +a0282:= integrate(t0282,x) +--R +--R +--R (280) +--R 6 5 +--R - 6sinh(b x + a) - 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 90cosh(b x + a) - 15)sinh(b x + a) +--R + +--R 3 3 +--R (- 120cosh(b x + a) - 60cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 90cosh(b x + a) - 90cosh(b x + a) - 12)sinh(b x + a) +--R + +--R 5 3 +--R (- 36cosh(b x + a) - 60cosh(b x + a) - 24cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 6cosh(b x + a) - 15cosh(b x + a) - 12cosh(b x + a) - 3 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R 6sinh(b x + a) + 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (90cosh(b x + a) + 9)sinh(b x + a) +--R + +--R 3 3 +--R (120cosh(b x + a) + 36cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (90cosh(b x + a) + 54cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (36cosh(b x + a) + 36cosh(b x + a) )sinh(b x + a) + 6cosh(b x + a) +--R + +--R 4 +--R 9cosh(b x + a) - 3 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) - 30)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) - 120cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) - 180cosh(b x + a) - 24)sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) - 120cosh(b x + a) - 48cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 12cosh(b x + a) - 30cosh(b x + a) - 24cosh(b x + a) - 6 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) + 18)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) + 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) + 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (72cosh(b x + a) + 72cosh(b x + a) )sinh(b x + a) + 12cosh(b x + a) +--R + +--R 4 +--R 18cosh(b x + a) - 6 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 4 3 +--R - 24sinh(b x + a) - 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (- 144cosh(b x + a) - 24)sinh(b x + a) +--R + +--R 3 +--R (- 96cosh(b x + a) - 48cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R - 24cosh(b x + a) - 24cosh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 4 3 +--R 24sinh(b x + a) + 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 3 +--R 144cosh(b x + a) sinh(b x + a) + 96cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R 24cosh(b x + a) - 8 +--R / +--R 6 5 +--R 12b sinh(b x + a) + 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180b cosh(b x + a) + 30b)sinh(b x + a) +--R + +--R 3 3 +--R (240b cosh(b x + a) + 120b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180b cosh(b x + a) + 180b cosh(b x + a) + 24b)sinh(b x + a) +--R + +--R 5 3 +--R (72b cosh(b x + a) + 120b cosh(b x + a) + 48b cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12b cosh(b x + a) + 30b cosh(b x + a) + 24b cosh(b x + a) + 6b +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R - 12b sinh(b x + a) - 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180b cosh(b x + a) - 18b)sinh(b x + a) +--R + +--R 3 3 +--R (- 240b cosh(b x + a) - 72b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180b cosh(b x + a) - 108b cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72b cosh(b x + a) - 72b cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12b cosh(b x + a) - 18b cosh(b x + a) + 6b +--R Type: Union(Expression Integer,...) +--E 413 + +--S 414 of 500 +m0282:= a0282-r0282 +--R +--R +--R (281) +--R 6 5 +--R - 6sinh(b x + a) - 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 90cosh(b x + a) - 15)sinh(b x + a) +--R + +--R 3 3 +--R (- 120cosh(b x + a) - 60cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 90cosh(b x + a) - 90cosh(b x + a) - 12)sinh(b x + a) +--R + +--R 5 3 +--R (- 36cosh(b x + a) - 60cosh(b x + a) - 24cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 6cosh(b x + a) - 15cosh(b x + a) - 12cosh(b x + a) - 3 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R 6sinh(b x + a) + 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (90cosh(b x + a) + 9)sinh(b x + a) +--R + +--R 3 3 +--R (120cosh(b x + a) + 36cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (90cosh(b x + a) + 54cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (36cosh(b x + a) + 36cosh(b x + a) )sinh(b x + a) + 6cosh(b x + a) +--R + +--R 4 +--R 9cosh(b x + a) - 3 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) - 30)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) - 120cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) - 180cosh(b x + a) - 24)sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) - 120cosh(b x + a) - 48cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 12cosh(b x + a) - 30cosh(b x + a) - 24cosh(b x + a) - 6 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) + 18)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) + 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) + 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (72cosh(b x + a) + 72cosh(b x + a) )sinh(b x + a) + 12cosh(b x + a) +--R + +--R 4 +--R 18cosh(b x + a) - 6 +--R * +--R +-------------+ +--R atanh(\|tanh(b x + a) ) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) + 30)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) + 120cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) + 180cosh(b x + a) + 24)sinh(b x + a) +--R + +--R 5 3 +--R (72cosh(b x + a) + 120cosh(b x + a) + 48cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12cosh(b x + a) + 30cosh(b x + a) + 24cosh(b x + a) + 6 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) - 18)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) - 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) - 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) - 72cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12cosh(b x + a) - 18cosh(b x + a) + 6 +--R * +--R +-------------+ +--R atan(\|tanh(b x + a) ) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) - 30)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) - 120cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) - 180cosh(b x + a) - 24)sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) - 120cosh(b x + a) - 48cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 12cosh(b x + a) - 30cosh(b x + a) - 24cosh(b x + a) - 6 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) + 18)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) + 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) + 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (72cosh(b x + a) + 72cosh(b x + a) )sinh(b x + a) + 12cosh(b x + a) +--R + +--R 4 +--R 18cosh(b x + a) - 6 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 6 5 +--R 8sinh(b x + a) + 48cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (120cosh(b x + a) + 20)sinh(b x + a) +--R + +--R 3 3 +--R (160cosh(b x + a) + 80cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (120cosh(b x + a) + 120cosh(b x + a) + 16)sinh(b x + a) +--R + +--R 5 3 +--R (48cosh(b x + a) + 80cosh(b x + a) + 32cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 8cosh(b x + a) + 20cosh(b x + a) + 16cosh(b x + a) + 4 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R - 8sinh(b x + a) - 48cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 120cosh(b x + a) - 12)sinh(b x + a) +--R + +--R 3 3 +--R (- 160cosh(b x + a) - 48cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 120cosh(b x + a) - 72cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 48cosh(b x + a) - 48cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 8cosh(b x + a) - 12cosh(b x + a) + 4 +--R * +--R tanh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R + +--R 4 3 +--R - 24sinh(b x + a) - 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (- 144cosh(b x + a) - 24)sinh(b x + a) +--R + +--R 3 +--R (- 96cosh(b x + a) - 48cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R - 24cosh(b x + a) - 24cosh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 4 3 +--R 24sinh(b x + a) + 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 3 +--R 144cosh(b x + a) sinh(b x + a) + 96cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R 24cosh(b x + a) - 8 +--R / +--R 6 5 +--R 12b sinh(b x + a) + 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180b cosh(b x + a) + 30b)sinh(b x + a) +--R + +--R 3 3 +--R (240b cosh(b x + a) + 120b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180b cosh(b x + a) + 180b cosh(b x + a) + 24b)sinh(b x + a) +--R + +--R 5 3 +--R (72b cosh(b x + a) + 120b cosh(b x + a) + 48b cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12b cosh(b x + a) + 30b cosh(b x + a) + 24b cosh(b x + a) + 6b +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R - 12b sinh(b x + a) - 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180b cosh(b x + a) - 18b)sinh(b x + a) +--R + +--R 3 3 +--R (- 240b cosh(b x + a) - 72b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180b cosh(b x + a) - 108b cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72b cosh(b x + a) - 72b cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12b cosh(b x + a) - 18b cosh(b x + a) + 6b +--R Type: Expression Integer +--E 414 + +--S 415 of 500 +d0282:= D(m0282,x) +--R +--R +--R (282) +--R 19 18 +--R 12sinh(b x + a) + 204cosh(b x + a)sinh(b x + a) +--R + +--R 2 17 +--R (1140cosh(b x + a) + 84)sinh(b x + a) +--R + +--R 3 16 +--R (468cosh(b x + a) + 1284cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 15 +--R (- 27792cosh(b x + a) + 9168cosh(b x + a) + 255)sinh(b x + a) +--R + +--R 5 3 +--R - 182544cosh(b x + a) + 40944cosh(b x + a) +--R + +--R 3195cosh(b x + a) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 666288cosh(b x + a) + 129312cosh(b x + a) +--R + +--R 2 +--R 19875cosh(b x + a) + 438 +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 1675440cosh(b x + a) + 309504cosh(b x + a) +--R + +--R 3 +--R 80751cosh(b x + a) + 3930cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 3124056cosh(b x + a) + 585936cosh(b x + a) +--R + +--R 4 2 +--R 235059cosh(b x + a) + 15688cosh(b x + a) + 465 +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 4471896cosh(b x + a) + 899184cosh(b x + a) +--R + +--R 5 3 +--R 507903cosh(b x + a) + 36888cosh(b x + a) + 2373cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 5000424cosh(b x + a) + 1129128cosh(b x + a) +--R + +--R 6 4 +--R 825495cosh(b x + a) + 57710cosh(b x + a) +--R + +--R 2 +--R 1815cosh(b x + a) + 312 +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 4398888cosh(b x + a) + 1156584cosh(b x + a) +--R + +--R 7 5 +--R 1012275cosh(b x + a) + 66306cosh(b x + a) +--R + +--R 3 +--R - 14501cosh(b x + a) + 528cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 3042000cosh(b x + a) + 954096cosh(b x + a) +--R + +--R 8 6 +--R 932877cosh(b x + a) + 63360cosh(b x + a) +--R + +--R 4 2 +--R - 50678cosh(b x + a) - 3096cosh(b x + a) + 129 +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 1640016cosh(b x + a) + 620880cosh(b x + a) +--R + +--R 9 7 +--R 638913cosh(b x + a) + 56256cosh(b x + a) +--R + +--R 5 3 +--R - 79758cosh(b x + a) - 12984cosh(b x + a) - 27cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 14 12 +--R - 677616cosh(b x + a) + 309504cosh(b x + a) +--R + +--R 10 8 +--R 318681cosh(b x + a) + 45426cosh(b x + a) +--R + +--R 6 4 +--R - 71890cosh(b x + a) - 21864cosh(b x + a) +--R + +--R 2 +--R - 1215cosh(b x + a) + 30 +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 15 13 +--R - 208368cosh(b x + a) + 113184cosh(b x + a) +--R + +--R 11 9 +--R 112125cosh(b x + a) + 29310cosh(b x + a) +--R + +--R 7 5 +--R - 37930cosh(b x + a) - 20568cosh(b x + a) +--R + +--R 3 +--R - 2267cosh(b x + a) + 18cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 16 14 +--R - 45396cosh(b x + a) + 28272cosh(b x + a) +--R + +--R 12 10 +--R 26625cosh(b x + a) + 13368cosh(b x + a) +--R + +--R 8 6 +--R - 10731cosh(b x + a) - 11592cosh(b x + a) +--R + +--R 4 2 +--R - 1701cosh(b x + a) - 160cosh(b x + a) + 3 +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 17 15 +--R - 6420cosh(b x + a) + 4176cosh(b x + a) +--R + +--R 13 11 +--R 4101cosh(b x + a) + 3880cosh(b x + a) +--R + +--R 9 7 5 +--R - 1223cosh(b x + a) - 3816cosh(b x + a) - 537cosh(b x + a) +--R + +--R 3 +--R - 208cosh(b x + a) + 15cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 18 16 +--R - 492cosh(b x + a) + 228cosh(b x + a) +--R + +--R 14 12 10 +--R 429cosh(b x + a) + 618cosh(b x + a) - 53cosh(b x + a) +--R + +--R 8 6 4 +--R - 624cosh(b x + a) - 29cosh(b x + a) - 62cosh(b x + a) +--R + +--R 2 +--R - 15cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 19 17 15 +--R - 12cosh(b x + a) - 12cosh(b x + a) + 33cosh(b x + a) +--R + +--R 13 11 9 +--R 38cosh(b x + a) - 33cosh(b x + a) - 24cosh(b x + a) +--R + +--R 7 5 3 +--R 15cosh(b x + a) - 2cosh(b x + a) - 3cosh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 19 18 +--R - 48sinh(b x + a) - 528cosh(b x + a)sinh(b x + a) +--R + +--R 2 17 +--R (- 1632cosh(b x + a) - 264)sinh(b x + a) +--R + +--R 3 16 +--R (6336cosh(b x + a) - 3360cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 15 +--R (78720cosh(b x + a) - 20160cosh(b x + a) - 576)sinh(b x + a) +--R + +--R 5 3 +--R (368256cosh(b x + a) - 76512cosh(b x + a) - 7044cosh(b x + a)) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 6 4 +--R 1100736cosh(b x + a) - 208416cosh(b x + a) +--R + +--R 2 +--R - 40548cosh(b x + a) - 580 +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 7 5 +--R 2368704cosh(b x + a) - 438048cosh(b x + a) +--R + +--R 3 +--R - 145800cosh(b x + a) - 5364cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 8 6 +--R 3857568cosh(b x + a) - 741312cosh(b x + a) +--R + +--R 4 2 +--R - 365640cosh(b x + a) - 21812cosh(b x + a) - 156 +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 9 7 +--R 4873440cosh(b x + a) - 1029600cosh(b x + a) +--R + +--R 5 3 +--R - 674652cosh(b x + a) - 51036cosh(b x + a) + 488cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 10 8 +--R 4832256cosh(b x + a) - 1173744cosh(b x + a) +--R + +--R 6 4 2 +--R - 939708cosh(b x + a) - 75744cosh(b x + a) + 8228cosh(b x + a) +--R + +--R 208 +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 11 9 +--R 3771456cosh(b x + a) - 1084512cosh(b x + a) +--R + +--R 7 5 +--R - 996336cosh(b x + a) - 75336cosh(b x + a) +--R + +--R 3 +--R 31008cosh(b x + a) + 2584cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 12 10 +--R 2306304cosh(b x + a) - 796224cosh(b x + a) +--R + +--R 8 6 +--R - 799920cosh(b x + a) - 55272cosh(b x + a) +--R + +--R 4 2 +--R 60424cosh(b x + a) + 10264cosh(b x + a) + 200 +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 13 11 +--R 1091328cosh(b x + a) - 453024cosh(b x + a) +--R + +--R 9 7 +--R - 477180cosh(b x + a) - 38520cosh(b x + a) +--R + +--R 5 3 +--R 71344cosh(b x + a) + 19928cosh(b x + a) + 1004cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 14 12 +--R 390720cosh(b x + a) - 193440cosh(b x + a) +--R + +--R 10 8 +--R - 203676cosh(b x + a) - 31236cosh(b x + a) +--R + +--R 6 4 2 +--R 53928cosh(b x + a) + 21560cosh(b x + a) + 2244cosh(b x + a) + 60 +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 15 13 +--R 101952cosh(b x + a) - 59232cosh(b x + a) +--R + +--R 11 9 +--R - 57864cosh(b x + a) - 23044cosh(b x + a) +--R + +--R 7 5 3 +--R 26528cosh(b x + a) + 13448cosh(b x + a) + 2760cosh(b x + a) +--R + +--R 60cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 16 14 12 +--R 18192cosh(b x + a) - 12096cosh(b x + a) - 9288cosh(b x + a) +--R + +--R 10 8 6 +--R - 11556cosh(b x + a) + 8468cosh(b x + a) + 4744cosh(b x + a) +--R + +--R 4 2 +--R 1856cosh(b x + a) - 4cosh(b x + a) + 4 +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 17 15 13 +--R 1968cosh(b x + a) - 1440cosh(b x + a) - 420cosh(b x + a) +--R + +--R 11 9 7 +--R - 3308cosh(b x + a) + 1704cosh(b x + a) + 904cosh(b x + a) +--R + +--R 5 3 +--R 588cosh(b x + a) + 4cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 18 16 14 +--R 96cosh(b x + a) - 72cosh(b x + a) + 60cosh(b x + a) +--R + +--R 12 10 8 +--R - 408cosh(b x + a) + 180cosh(b x + a) + 88cosh(b x + a) +--R + +--R 6 4 2 +--R 52cosh(b x + a) + 8cosh(b x + a) - 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R + +--R 18 2 17 +--R - 48cosh(b x + a)sinh(b x + a) - 1200cosh(b x + a) sinh(b x + a) +--R + +--R 3 16 +--R (- 12480cosh(b x + a) - 336cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 15 +--R (- 75840cosh(b x + a) - 6768cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 309120cosh(b x + a) - 58128cosh(b x + a) - 1020cosh(b x + a)) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 908544cosh(b x + a) - 292656cosh(b x + a) +--R + +--R 2 +--R - 15996cosh(b x + a) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 2009280cosh(b x + a) - 982800cosh(b x + a) +--R + +--R 3 +--R - 109368cosh(b x + a) - 1752cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 3432000cosh(b x + a) - 2354352cosh(b x + a) +--R + +--R 4 2 +--R - 439032cosh(b x + a) - 20424cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 4598880cosh(b x + a) - 4180176cosh(b x + a) +--R + +--R 5 3 +--R - 1164900cosh(b x + a) - 105288cosh(b x + a) - 1860cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 4873440cosh(b x + a) - 5621616cosh(b x + a) +--R + +--R 6 4 +--R - 2168100cosh(b x + a) - 317592cosh(b x + a) +--R + +--R 2 +--R - 15108cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 4090944cosh(b x + a) - 5786352cosh(b x + a) +--R + +--R 7 5 +--R - 2919312cosh(b x + a) - 623088cosh(b x + a) +--R + +--R 3 +--R - 53760cosh(b x + a) - 1248cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 2708160cosh(b x + a) - 4564560cosh(b x + a) +--R + +--R 8 6 +--R - 2881296cosh(b x + a) - 833616cosh(b x + a) +--R + +--R 4 2 +--R - 109536cosh(b x + a) - 6432cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 1397760cosh(b x + a) - 2738736cosh(b x + a) +--R + +--R 9 7 +--R - 2082564cosh(b x + a) - 773136cosh(b x + a) +--R + +--R 5 3 +--R - 139944cosh(b x + a) - 13392cosh(b x + a) - 516cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 14 12 +--R - 551040cosh(b x + a) - 1227408cosh(b x + a) +--R + +--R 10 8 +--R - 1085700cosh(b x + a) - 493488cosh(b x + a) +--R + +--R 6 4 2 +--R - 115080cosh(b x + a) - 14160cosh(b x + a) - 1476cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 15 13 +--R - 160320cosh(b x + a) - 397488cosh(b x + a) +--R + +--R 11 9 +--R - 394680cosh(b x + a) - 209592cosh(b x + a) +--R + +--R 7 5 3 +--R - 59808cosh(b x + a) - 7680cosh(b x + a) - 1224cosh(b x + a) +--R + +--R - 120cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 16 14 +--R - 32448cosh(b x + a) - 87696cosh(b x + a) +--R + +--R 12 10 +--R - 93816cosh(b x + a) - 54888cosh(b x + a) +--R + +--R 8 6 4 +--R - 18240cosh(b x + a) - 1728cosh(b x + a) + 24cosh(b x + a) +--R + +--R 2 +--R - 168cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 17 15 +--R - 4080cosh(b x + a) - 11760cosh(b x + a) +--R + +--R 13 11 9 +--R - 12828cosh(b x + a) - 7464cosh(b x + a) - 2676cosh(b x + a) +--R + +--R 7 5 3 +--R 48cosh(b x + a) + 396cosh(b x + a) - 24cosh(b x + a) +--R + +--R - 12cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 18 16 14 +--R - 240cosh(b x + a) - 720cosh(b x + a) - 732cosh(b x + a) +--R + +--R 12 10 8 +--R - 312cosh(b x + a) - 84cosh(b x + a) + 48cosh(b x + a) +--R + +--R 6 4 2 +--R 108cosh(b x + a) + 24cosh(b x + a) - 12cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R 3 |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 18 2 17 +--R 240cosh(b x + a)sinh(b x + a) + 4080cosh(b x + a) sinh(b x + a) +--R + +--R 3 16 +--R (32448cosh(b x + a) + 1440cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 15 +--R (160320cosh(b x + a) + 20640cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (551040cosh(b x + a) + 137376cosh(b x + a) + 3612cosh(b x + a)) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 6 4 +--R 1397760cosh(b x + a) + 562848cosh(b x + a) +--R + +--R 2 +--R 42588cosh(b x + a) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 7 5 +--R 2708160cosh(b x + a) + 1586208cosh(b x + a) +--R + +--R 3 +--R 230136cosh(b x + a) + 4836cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 8 6 +--R 4090944cosh(b x + a) + 3253536cosh(b x + a) +--R + +--R 4 2 +--R 753720cosh(b x + a) + 45372cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 9 7 +--R 4873440cosh(b x + a) + 5010720cosh(b x + a) +--R + +--R 5 3 +--R 1666500cosh(b x + a) + 190764cosh(b x + a) + 3600cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 10 8 +--R 4598880cosh(b x + a) + 5889312cosh(b x + a) +--R + +--R 6 4 2 +--R 2621124cosh(b x + a) + 473076cosh(b x + a) + 25632cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 11 9 +--R 3432000cosh(b x + a) + 5312736cosh(b x + a) +--R + +--R 7 5 +--R 3008016cosh(b x + a) + 765864cosh(b x + a) +--R + +--R 3 +--R 78624cosh(b x + a) + 1320cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 12 10 +--R 2009280cosh(b x + a) + 3665376cosh(b x + a) +--R + +--R 8 6 +--R 2539152cosh(b x + a) + 845208cosh(b x + a) +--R + +--R 4 2 +--R 135072cosh(b x + a) + 6624cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 13 11 +--R 908544cosh(b x + a) + 1908192cosh(b x + a) +--R + +--R 9 7 +--R 1566180cosh(b x + a) + 643608cosh(b x + a) +--R + +--R 5 3 +--R 141120cosh(b x + a) + 13272cosh(b x + a) + 60cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 14 12 +--R 309120cosh(b x + a) + 730080cosh(b x + a) +--R + +--R 10 8 +--R 689700cosh(b x + a) + 333864cosh(b x + a) +--R + +--R 6 4 2 +--R 90720cosh(b x + a) + 13200cosh(b x + a) + 180cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 15 13 +--R 75840cosh(b x + a) + 195936cosh(b x + a) +--R + +--R 11 9 +--R 206712cosh(b x + a) + 113076cosh(b x + a) +--R + +--R 7 5 3 +--R 34272cosh(b x + a) + 6360cosh(b x + a) + 168cosh(b x + a) +--R + +--R - 108cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 16 14 +--R 12480cosh(b x + a) + 33888cosh(b x + a) +--R + +--R 12 10 8 +--R 38328cosh(b x + a) + 22764cosh(b x + a) + 6624cosh(b x + a) +--R + +--R 6 4 2 +--R 960cosh(b x + a) + 24cosh(b x + a) - 156cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 17 15 13 +--R 1200cosh(b x + a) + 3168cosh(b x + a) + 3516cosh(b x + a) +--R + +--R 11 9 7 +--R 2172cosh(b x + a) + 432cosh(b x + a) - 216cosh(b x + a) +--R + +--R 5 3 +--R - 36cosh(b x + a) - 36cosh(b x + a) - 24cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 18 16 14 +--R 48cosh(b x + a) + 96cosh(b x + a) + 60cosh(b x + a) +--R + +--R 12 8 6 +--R 36cosh(b x + a) - 48cosh(b x + a) - 12cosh(b x + a) +--R + +--R 4 +--R 12cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R 3 +--R tanh(b x + a) +--R / +--R 18 2 17 +--R 48cosh(b x + a)sinh(b x + a) + 1200cosh(b x + a) sinh(b x + a) +--R + +--R 3 16 +--R (12480cosh(b x + a) + 336cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 15 +--R (75840cosh(b x + a) + 6768cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (309120cosh(b x + a) + 58128cosh(b x + a) + 1020cosh(b x + a)) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 6 4 +--R 908544cosh(b x + a) + 292656cosh(b x + a) +--R + +--R 2 +--R 15996cosh(b x + a) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 7 5 +--R 2009280cosh(b x + a) + 982800cosh(b x + a) +--R + +--R 3 +--R 109368cosh(b x + a) + 1752cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 8 6 +--R 3432000cosh(b x + a) + 2354352cosh(b x + a) +--R + +--R 4 2 +--R 439032cosh(b x + a) + 20424cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 9 7 +--R 4598880cosh(b x + a) + 4180176cosh(b x + a) +--R + +--R 5 3 +--R 1164900cosh(b x + a) + 105288cosh(b x + a) + 1860cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 10 8 +--R 4873440cosh(b x + a) + 5621616cosh(b x + a) +--R + +--R 6 4 +--R 2168100cosh(b x + a) + 317592cosh(b x + a) +--R + +--R 2 +--R 15108cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 11 9 +--R 4090944cosh(b x + a) + 5786352cosh(b x + a) +--R + +--R 7 5 +--R 2919312cosh(b x + a) + 623088cosh(b x + a) +--R + +--R 3 +--R 53760cosh(b x + a) + 1248cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 12 10 +--R 2708160cosh(b x + a) + 4564560cosh(b x + a) +--R + +--R 8 6 +--R 2881296cosh(b x + a) + 833616cosh(b x + a) +--R + +--R 4 2 +--R 109536cosh(b x + a) + 6432cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 13 11 +--R 1397760cosh(b x + a) + 2738736cosh(b x + a) +--R + +--R 9 7 +--R 2082564cosh(b x + a) + 773136cosh(b x + a) +--R + +--R 5 3 +--R 139944cosh(b x + a) + 13392cosh(b x + a) + 516cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 14 12 +--R 551040cosh(b x + a) + 1227408cosh(b x + a) +--R + +--R 10 8 +--R 1085700cosh(b x + a) + 493488cosh(b x + a) +--R + +--R 6 4 2 +--R 115080cosh(b x + a) + 14160cosh(b x + a) + 1476cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 15 13 +--R 160320cosh(b x + a) + 397488cosh(b x + a) +--R + +--R 11 9 +--R 394680cosh(b x + a) + 209592cosh(b x + a) +--R + +--R 7 5 3 +--R 59808cosh(b x + a) + 7680cosh(b x + a) + 1224cosh(b x + a) +--R + +--R 120cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 16 14 +--R 32448cosh(b x + a) + 87696cosh(b x + a) +--R + +--R 12 10 +--R 93816cosh(b x + a) + 54888cosh(b x + a) +--R + +--R 8 6 4 +--R 18240cosh(b x + a) + 1728cosh(b x + a) - 24cosh(b x + a) +--R + +--R 2 +--R 168cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 17 15 +--R 4080cosh(b x + a) + 11760cosh(b x + a) +--R + +--R 13 11 9 +--R 12828cosh(b x + a) + 7464cosh(b x + a) + 2676cosh(b x + a) +--R + +--R 7 5 3 +--R - 48cosh(b x + a) - 396cosh(b x + a) + 24cosh(b x + a) +--R + +--R 12cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 18 16 14 +--R 240cosh(b x + a) + 720cosh(b x + a) + 732cosh(b x + a) +--R + +--R 12 10 8 +--R 312cosh(b x + a) + 84cosh(b x + a) - 48cosh(b x + a) +--R + +--R 6 4 2 +--R - 108cosh(b x + a) - 24cosh(b x + a) + 12cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 18 2 17 +--R - 240cosh(b x + a)sinh(b x + a) - 4080cosh(b x + a) sinh(b x + a) +--R + +--R 3 16 +--R (- 32448cosh(b x + a) - 1440cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 15 +--R (- 160320cosh(b x + a) - 20640cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 551040cosh(b x + a) - 137376cosh(b x + a) - 3612cosh(b x + a)) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 1397760cosh(b x + a) - 562848cosh(b x + a) +--R + +--R 2 +--R - 42588cosh(b x + a) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 2708160cosh(b x + a) - 1586208cosh(b x + a) +--R + +--R 3 +--R - 230136cosh(b x + a) - 4836cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 4090944cosh(b x + a) - 3253536cosh(b x + a) +--R + +--R 4 2 +--R - 753720cosh(b x + a) - 45372cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 4873440cosh(b x + a) - 5010720cosh(b x + a) +--R + +--R 5 3 +--R - 1666500cosh(b x + a) - 190764cosh(b x + a) - 3600cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 4598880cosh(b x + a) - 5889312cosh(b x + a) +--R + +--R 6 4 2 +--R - 2621124cosh(b x + a) - 473076cosh(b x + a) - 25632cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 3432000cosh(b x + a) - 5312736cosh(b x + a) +--R + +--R 7 5 +--R - 3008016cosh(b x + a) - 765864cosh(b x + a) +--R + +--R 3 +--R - 78624cosh(b x + a) - 1320cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 2009280cosh(b x + a) - 3665376cosh(b x + a) +--R + +--R 8 6 +--R - 2539152cosh(b x + a) - 845208cosh(b x + a) +--R + +--R 4 2 +--R - 135072cosh(b x + a) - 6624cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 908544cosh(b x + a) - 1908192cosh(b x + a) +--R + +--R 9 7 +--R - 1566180cosh(b x + a) - 643608cosh(b x + a) +--R + +--R 5 3 +--R - 141120cosh(b x + a) - 13272cosh(b x + a) - 60cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 14 12 +--R - 309120cosh(b x + a) - 730080cosh(b x + a) +--R + +--R 10 8 +--R - 689700cosh(b x + a) - 333864cosh(b x + a) +--R + +--R 6 4 2 +--R - 90720cosh(b x + a) - 13200cosh(b x + a) - 180cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 15 13 +--R - 75840cosh(b x + a) - 195936cosh(b x + a) +--R + +--R 11 9 +--R - 206712cosh(b x + a) - 113076cosh(b x + a) +--R + +--R 7 5 3 +--R - 34272cosh(b x + a) - 6360cosh(b x + a) - 168cosh(b x + a) +--R + +--R 108cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 16 14 +--R - 12480cosh(b x + a) - 33888cosh(b x + a) +--R + +--R 12 10 8 +--R - 38328cosh(b x + a) - 22764cosh(b x + a) - 6624cosh(b x + a) +--R + +--R 6 4 2 +--R - 960cosh(b x + a) - 24cosh(b x + a) + 156cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 17 15 13 +--R - 1200cosh(b x + a) - 3168cosh(b x + a) - 3516cosh(b x + a) +--R + +--R 11 9 7 +--R - 2172cosh(b x + a) - 432cosh(b x + a) + 216cosh(b x + a) +--R + +--R 5 3 +--R 36cosh(b x + a) + 36cosh(b x + a) + 24cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 18 16 14 +--R - 48cosh(b x + a) - 96cosh(b x + a) - 60cosh(b x + a) +--R + +--R 12 8 6 +--R - 36cosh(b x + a) + 48cosh(b x + a) + 12cosh(b x + a) +--R + +--R 4 +--R - 12cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R Type: Expression Integer +--E 415 + +--S 416 of 500 +t0283:= 1/tanh(a+b*x)^(3/2) +--R +--R +--R 1 +--R (283) ----------------------------- +--R +-------------+ +--R tanh(b x + a)\|tanh(b x + a) +--R Type: Expression Integer +--E 416 + +--S 417 of 500 +r0283:= -atan(tanh(a+b*x)^(1/2))/b+atanh(tanh(a+b*x)^(1/2))/b-_ + 2/b/tanh(a+b*x)^(1/2) +--R +--R +--R (284) +--R +-------------+ +-------------+ +--R \|tanh(b x + a) atanh(\|tanh(b x + a) ) +--R + +--R +-------------+ +-------------+ +--R - \|tanh(b x + a) atan(\|tanh(b x + a) ) - 2 +--R / +--R +-------------+ +--R b\|tanh(b x + a) +--R Type: Expression Integer +--E 417 + +--S 418 of 500 +a0283:= integrate(t0283,x) +--R +--R +--R (285) +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) - 1 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) +--R + +--R - 2 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) - 2 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R - 8 +--R / +--R 2 2 +--R 2b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) + 2b cosh(b x + a) +--R + +--R 2b +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - 2b sinh(b x + a) - 4b cosh(b x + a)sinh(b x + a) - 2b cosh(b x + a) +--R + +--R 2b +--R Type: Union(Expression Integer,...) +--E 418 + +--S 419 of 500 +m0283:= a0283-r0283 +--R +--R +--R (286) +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R - 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) - 1 +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) +--R + +--R - 2 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) - 2 +--R * +--R +-------------+ +-------------+ +--R \|tanh(b x + a) atanh(\|tanh(b x + a) ) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) +--R + +--R 2 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) + 2 +--R * +--R +-------------+ +-------------+ +--R \|tanh(b x + a) atan(\|tanh(b x + a) ) +--R + +--R 2 2 +--R - 2sinh(b x + a) - 4cosh(b x + a)sinh(b x + a) - 2cosh(b x + a) +--R + +--R - 2 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R 2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) - 2 +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R +-------------+ +--R - 8\|tanh(b x + a) +--R + +--R 2 2 +--R (4sinh(b x + a) + 8cosh(b x + a)sinh(b x + a) + 4cosh(b x + a) + 4) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - 4sinh(b x + a) - 8cosh(b x + a)sinh(b x + a) - 4cosh(b x + a) + 4 +--R / +--R 2 +--R 2b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R 2b cosh(b x + a) + 2b +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - 2b sinh(b x + a) - 4b cosh(b x + a)sinh(b x + a) - 2b cosh(b x + a) +--R + +--R 2b +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R Type: Expression Integer +--E 419 + +--S 420 of 500 +d0283:= D(m0283,x) +--R +--R +--R (287) +--R 13 12 +--R sinh(b x + a) + 11cosh(b x + a)sinh(b x + a) +--R + +--R 2 11 +--R (14cosh(b x + a) + 5)sinh(b x + a) +--R + +--R 3 10 +--R (- 230cosh(b x + a) + 49cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (- 1381cosh(b x + a) + 43cosh(b x + a) + 10)sinh(b x + a) +--R + +--R 5 3 +--R (- 3927cosh(b x + a) - 761cosh(b x + a) + 86cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 6924cosh(b x + a) - 3470cosh(b x + a) + 40cosh(b x + a) +--R + +--R 10 +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 8196cosh(b x + a) - 7350cosh(b x + a) - 920cosh(b x + a) +--R + +--R 74cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 6681cosh(b x + a) - 9226cosh(b x + a) +--R + +--R 4 2 +--R - 2900cosh(b x + a) + 2cosh(b x + a) + 5 +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 3731cosh(b x + a) - 7282cosh(b x + a) +--R + +--R 5 3 +--R - 4060cosh(b x + a) - 478cosh(b x + a) + 31cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 1378cosh(b x + a) - 3591cosh(b x + a) +--R + +--R 6 4 2 +--R - 3064cosh(b x + a) - 866cosh(b x + a) - 14cosh(b x + a) + 1 +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 310cosh(b x + a) - 1035cosh(b x + a) +--R + +--R 7 5 3 +--R - 1240cosh(b x + a) - 610cosh(b x + a) - 90cosh(b x + a) +--R + +--R 5cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R - 35cosh(b x + a) - 145cosh(b x + a) - 230cosh(b x + a) +--R + +--R 6 4 2 +--R - 170cosh(b x + a) - 55cosh(b x + a) - 5cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 13 11 9 +--R - cosh(b x + a) - 5cosh(b x + a) - 10cosh(b x + a) +--R + +--R 7 5 3 +--R - 10cosh(b x + a) - 5cosh(b x + a) - cosh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 13 12 +--R - 4sinh(b x + a) - 20cosh(b x + a)sinh(b x + a) +--R + +--R 2 11 +--R (44cosh(b x + a) - 20)sinh(b x + a) +--R + +--R 3 10 +--R (644cosh(b x + a) - 80cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (2496cosh(b x + a) + 180cosh(b x + a) - 40)sinh(b x + a) +--R + +--R 5 3 +--R (5496cosh(b x + a) + 1856cosh(b x + a) - 120cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 7896cosh(b x + a) + 5432cosh(b x + a) + 280cosh(b x + a) +--R + +--R - 40 +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 7752cosh(b x + a) + 8736cosh(b x + a) + 1864cosh(b x + a) +--R + +--R - 80cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R 5244cosh(b x + a) + 8680cosh(b x + a) + 3720cosh(b x + a) +--R + +--R 2 +--R 200cosh(b x + a) - 20 +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 2396cosh(b x + a) + 5440cosh(b x + a) + 3800cosh(b x + a) +--R + +--R 3 +--R 736cosh(b x + a) - 20cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R 700cosh(b x + a) + 2076cosh(b x + a) + 2120cosh(b x + a) +--R + +--R 4 2 +--R 808cosh(b x + a) + 60cosh(b x + a) - 4 +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R 116cosh(b x + a) + 432cosh(b x + a) + 600cosh(b x + a) +--R + +--R 5 3 +--R 368cosh(b x + a) + 84cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R 8cosh(b x + a) + 36cosh(b x + a) + 64cosh(b x + a) +--R + +--R 6 4 2 +--R 56cosh(b x + a) + 24cosh(b x + a) + 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R tanh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R + +--R 12 2 11 +--R - 4cosh(b x + a)sinh(b x + a) - 76cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (- 524cosh(b x + a) - 20cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (- 1956cosh(b x + a) - 228cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 4584cosh(b x + a) - 1024cosh(b x + a) - 40cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- 7224cosh(b x + a) - 2464cosh(b x + a) - 232cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 7896cosh(b x + a) - 3528cosh(b x + a) - 552cosh(b x + a) +--R + +--R - 40cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R - 6024cosh(b x + a) - 3080cosh(b x + a) - 680cosh(b x + a) +--R + +--R 2 +--R - 88cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R - 3156cosh(b x + a) - 1568cosh(b x + a) - 440cosh(b x + a) +--R + +--R 3 +--R - 32cosh(b x + a) - 20cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R - 1084cosh(b x + a) - 384cosh(b x + a) - 120cosh(b x + a) +--R + +--R 4 2 +--R 32cosh(b x + a) - 12cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R - 220cosh(b x + a) - 4cosh(b x + a) + 8cosh(b x + a) +--R + +--R 5 3 +--R 8cosh(b x + a) + 20cosh(b x + a) - 4cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R - 20cosh(b x + a) + 12cosh(b x + a) + 8cosh(b x + a) +--R + +--R 6 4 2 +--R - 8cosh(b x + a) + 12cosh(b x + a) - 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 12 2 11 +--R 20cosh(b x + a)sinh(b x + a) + 220cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (1084cosh(b x + a) + 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (3156cosh(b x + a) + 536cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 8 +--R (6024cosh(b x + a) + 1728cosh(b x + a) + 88cosh(b x + a))sinh(b x + a) +--R + +--R 6 4 2 +--R (7896cosh(b x + a) + 3136cosh(b x + a) + 408cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 7224cosh(b x + a) + 3472cosh(b x + a) + 728cosh(b x + a) +--R + +--R 32cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R 4584cosh(b x + a) + 2352cosh(b x + a) + 600cosh(b x + a) +--R + +--R 2 +--R 88cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 1956cosh(b x + a) + 896cosh(b x + a) + 200cosh(b x + a) +--R + +--R 3 +--R 64cosh(b x + a) - 12cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R 524cosh(b x + a) + 128cosh(b x + a) + 8cosh(b x + a) +--R + +--R 4 2 +--R - 16cosh(b x + a) - 4cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R 76cosh(b x + a) - 24cosh(b x + a) + 8cosh(b x + a) +--R + +--R 5 3 +--R - 32cosh(b x + a) + 12cosh(b x + a) - 8cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R 4cosh(b x + a) - 8cosh(b x + a) + 8cosh(b x + a) +--R + +--R 6 4 +--R - 8cosh(b x + a) + 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R / +--R 12 2 11 +--R 4cosh(b x + a)sinh(b x + a) + 76cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (524cosh(b x + a) + 20cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (1956cosh(b x + a) + 228cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (4584cosh(b x + a) + 1024cosh(b x + a) + 40cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (7224cosh(b x + a) + 2464cosh(b x + a) + 232cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 7896cosh(b x + a) + 3528cosh(b x + a) + 552cosh(b x + a) +--R + +--R 40cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R 6024cosh(b x + a) + 3080cosh(b x + a) + 680cosh(b x + a) +--R + +--R 2 +--R 88cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 3156cosh(b x + a) + 1568cosh(b x + a) + 440cosh(b x + a) +--R + +--R 3 +--R 32cosh(b x + a) + 20cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R 1084cosh(b x + a) + 384cosh(b x + a) + 120cosh(b x + a) +--R + +--R 4 2 +--R - 32cosh(b x + a) + 12cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R 220cosh(b x + a) + 4cosh(b x + a) - 8cosh(b x + a) +--R + +--R 5 3 +--R - 8cosh(b x + a) - 20cosh(b x + a) + 4cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R 20cosh(b x + a) - 12cosh(b x + a) - 8cosh(b x + a) +--R + +--R 6 4 2 +--R 8cosh(b x + a) - 12cosh(b x + a) + 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 12 2 11 +--R - 20cosh(b x + a)sinh(b x + a) - 220cosh(b x + a) sinh(b x + a) +--R + +--R 3 10 +--R (- 1084cosh(b x + a) - 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 9 +--R (- 3156cosh(b x + a) - 536cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 6024cosh(b x + a) - 1728cosh(b x + a) - 88cosh(b x + a)) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (- 7896cosh(b x + a) - 3136cosh(b x + a) - 408cosh(b x + a) ) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 7224cosh(b x + a) - 3472cosh(b x + a) - 728cosh(b x + a) +--R + +--R - 32cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R - 4584cosh(b x + a) - 2352cosh(b x + a) - 600cosh(b x + a) +--R + +--R 2 +--R - 88cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R - 1956cosh(b x + a) - 896cosh(b x + a) - 200cosh(b x + a) +--R + +--R 3 +--R - 64cosh(b x + a) + 12cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 10 8 6 +--R - 524cosh(b x + a) - 128cosh(b x + a) - 8cosh(b x + a) +--R + +--R 4 2 +--R 16cosh(b x + a) + 4cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 11 9 7 +--R - 76cosh(b x + a) + 24cosh(b x + a) - 8cosh(b x + a) +--R + +--R 5 3 +--R 32cosh(b x + a) - 12cosh(b x + a) + 8cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 12 10 8 +--R - 4cosh(b x + a) + 8cosh(b x + a) - 8cosh(b x + a) +--R + +--R 6 4 +--R 8cosh(b x + a) - 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R tanh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R Type: Expression Integer +--E 420 + +--S 421 of 500 +t0284:= 1/tanh(a+b*x)^(5/2) +--R +--R +--R 1 +--R (288) ------------------------------ +--R 2 +-------------+ +--R tanh(b x + a) \|tanh(b x + a) +--R Type: Expression Integer +--E 421 + +--S 422 of 500 +r0284:= atan(tanh(a+b*x)^(1/2))/b+atanh(tanh(a+b*x)^(1/2))/b-_ + 2/3/b/tanh(a+b*x)^(3/2) +--R +--R +--R (289) +--R +-------------+ +-------------+ +--R 3tanh(b x + a)\|tanh(b x + a) atanh(\|tanh(b x + a) ) +--R + +--R +-------------+ +-------------+ +--R 3tanh(b x + a)\|tanh(b x + a) atan(\|tanh(b x + a) ) - 2 +--R / +--R +-------------+ +--R 3b tanh(b x + a)\|tanh(b x + a) +--R Type: Expression Integer +--E 422 + +--S 423 of 500 +a0284:= integrate(t0284,x) +--R +--R +--R (290) +--R 6 5 +--R - 6sinh(b x + a) - 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 90cosh(b x + a) + 3)sinh(b x + a) +--R + +--R 3 3 +--R (- 120cosh(b x + a) + 12cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 90cosh(b x + a) + 18cosh(b x + a) + 6)sinh(b x + a) +--R + +--R 5 3 +--R (- 36cosh(b x + a) + 12cosh(b x + a) + 12cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 6cosh(b x + a) + 3cosh(b x + a) + 6cosh(b x + a) - 3 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R 6sinh(b x + a) + 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (90cosh(b x + a) - 9)sinh(b x + a) +--R + +--R 3 3 +--R (120cosh(b x + a) - 36cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (90cosh(b x + a) - 54cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (36cosh(b x + a) - 36cosh(b x + a) )sinh(b x + a) + 6cosh(b x + a) +--R + +--R 4 +--R - 9cosh(b x + a) + 3 +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) - 6)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) - 24cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) - 36cosh(b x + a) - 12)sinh(b x + a) +--R + +--R 5 3 +--R (72cosh(b x + a) - 24cosh(b x + a) - 24cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12cosh(b x + a) - 6cosh(b x + a) - 12cosh(b x + a) + 6 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) + 18)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) + 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) + 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) + 72cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12cosh(b x + a) + 18cosh(b x + a) - 6 +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 4 3 +--R 24sinh(b x + a) + 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (144cosh(b x + a) + 24)sinh(b x + a) +--R + +--R 3 4 +--R (96cosh(b x + a) + 48cosh(b x + a))sinh(b x + a) + 24cosh(b x + a) +--R + +--R 2 +--R 24cosh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 4 3 +--R - 24sinh(b x + a) - 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 3 +--R - 144cosh(b x + a) sinh(b x + a) - 96cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R - 24cosh(b x + a) + 8 +--R / +--R 6 5 +--R 12b sinh(b x + a) + 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180b cosh(b x + a) - 6b)sinh(b x + a) +--R + +--R 3 3 +--R (240b cosh(b x + a) - 24b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180b cosh(b x + a) - 36b cosh(b x + a) - 12b)sinh(b x + a) +--R + +--R 5 3 +--R (72b cosh(b x + a) - 24b cosh(b x + a) - 24b cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12b cosh(b x + a) - 6b cosh(b x + a) - 12b cosh(b x + a) + 6b +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R - 12b sinh(b x + a) - 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180b cosh(b x + a) + 18b)sinh(b x + a) +--R + +--R 3 3 +--R (- 240b cosh(b x + a) + 72b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180b cosh(b x + a) + 108b cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72b cosh(b x + a) + 72b cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12b cosh(b x + a) + 18b cosh(b x + a) - 6b +--R Type: Union(Expression Integer,...) +--E 423 + +--S 424 of 500 +m0284:= a0284-r0284 +--R +--R +--R (291) +--R 6 5 +--R - 6sinh(b x + a) - 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 90cosh(b x + a) + 3)sinh(b x + a) +--R + +--R 3 3 +--R (- 120cosh(b x + a) + 12cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 90cosh(b x + a) + 18cosh(b x + a) + 6)sinh(b x + a) +--R + +--R 5 3 +--R (- 36cosh(b x + a) + 12cosh(b x + a) + 12cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 6cosh(b x + a) + 3cosh(b x + a) + 6cosh(b x + a) - 3 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R 6sinh(b x + a) + 36cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (90cosh(b x + a) - 9)sinh(b x + a) +--R + +--R 3 3 +--R (120cosh(b x + a) - 36cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (90cosh(b x + a) - 54cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (36cosh(b x + a) - 36cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R 6cosh(b x + a) - 9cosh(b x + a) + 3 +--R * +--R tanh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R * +--R log +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) + 6)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) + 24cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) + 36cosh(b x + a) + 12)sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) + 24cosh(b x + a) + 24cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 12cosh(b x + a) + 6cosh(b x + a) + 12cosh(b x + a) - 6 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) - 18)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) - 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) - 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (72cosh(b x + a) - 72cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R 12cosh(b x + a) - 18cosh(b x + a) + 6 +--R * +--R tanh(b x + a) +--R * +--R +-------------+ +-------------+ +--R \|tanh(b x + a) atanh(\|tanh(b x + a) ) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) + 6)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) + 24cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) + 36cosh(b x + a) + 12)sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) + 24cosh(b x + a) + 24cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 12cosh(b x + a) + 6cosh(b x + a) + 12cosh(b x + a) - 6 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) - 18)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) - 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) - 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (72cosh(b x + a) - 72cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R 12cosh(b x + a) - 18cosh(b x + a) + 6 +--R * +--R tanh(b x + a) +--R * +--R +-------------+ +-------------+ +--R \|tanh(b x + a) atan(\|tanh(b x + a) ) +--R + +--R 6 5 +--R 12sinh(b x + a) + 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180cosh(b x + a) - 6)sinh(b x + a) +--R + +--R 3 3 +--R (240cosh(b x + a) - 24cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180cosh(b x + a) - 36cosh(b x + a) - 12)sinh(b x + a) +--R + +--R 5 3 +--R (72cosh(b x + a) - 24cosh(b x + a) - 24cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12cosh(b x + a) - 6cosh(b x + a) - 12cosh(b x + a) + 6 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R - 12sinh(b x + a) - 72cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180cosh(b x + a) + 18)sinh(b x + a) +--R + +--R 3 3 +--R (- 240cosh(b x + a) + 72cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180cosh(b x + a) + 108cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72cosh(b x + a) + 72cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12cosh(b x + a) + 18cosh(b x + a) - 6 +--R * +--R tanh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R * +--R atan +--R 2 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) +--R + +--R 1 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 2 2 +--R - sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) +--R + +--R 4 3 +--R 24sinh(b x + a) + 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (144cosh(b x + a) + 24)sinh(b x + a) +--R + +--R 3 +--R (96cosh(b x + a) + 48cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R 24cosh(b x + a) + 24cosh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 4 3 +--R - 24sinh(b x + a) - 96cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 3 +--R - 144cosh(b x + a) sinh(b x + a) - 96cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R - 24cosh(b x + a) + 8 +--R * +--R tanh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R + +--R 6 5 +--R 8sinh(b x + a) + 48cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (120cosh(b x + a) - 4)sinh(b x + a) +--R + +--R 3 3 +--R (160cosh(b x + a) - 16cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (120cosh(b x + a) - 24cosh(b x + a) - 8)sinh(b x + a) +--R + +--R 5 3 +--R (48cosh(b x + a) - 16cosh(b x + a) - 16cosh(b x + a))sinh(b x + a) +--R + +--R 6 4 2 +--R 8cosh(b x + a) - 4cosh(b x + a) - 8cosh(b x + a) + 4 +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R - 8sinh(b x + a) - 48cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 120cosh(b x + a) + 12)sinh(b x + a) +--R + +--R 3 3 +--R (- 160cosh(b x + a) + 48cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 120cosh(b x + a) + 72cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 6 +--R (- 48cosh(b x + a) + 48cosh(b x + a) )sinh(b x + a) - 8cosh(b x + a) +--R + +--R 4 +--R 12cosh(b x + a) - 4 +--R / +--R 6 5 +--R 12b sinh(b x + a) + 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (180b cosh(b x + a) - 6b)sinh(b x + a) +--R + +--R 3 3 +--R (240b cosh(b x + a) - 24b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (180b cosh(b x + a) - 36b cosh(b x + a) - 12b)sinh(b x + a) +--R + +--R 5 3 +--R (72b cosh(b x + a) - 24b cosh(b x + a) - 24b cosh(b x + a)) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 12b cosh(b x + a) - 6b cosh(b x + a) - 12b cosh(b x + a) + 6b +--R * +--R +-------------+ +--R |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 6 5 +--R - 12b sinh(b x + a) - 72b cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R (- 180b cosh(b x + a) + 18b)sinh(b x + a) +--R + +--R 3 3 +--R (- 240b cosh(b x + a) + 72b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R (- 180b cosh(b x + a) + 108b cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 72b cosh(b x + a) + 72b cosh(b x + a) )sinh(b x + a) +--R + +--R 6 4 +--R - 12b cosh(b x + a) + 18b cosh(b x + a) - 6b +--R * +--R tanh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R Type: Expression Integer +--E 424 + +--S 425 of 500 +d0284:= D(m0284,x) +--R +--R +--R (292) +--R 21 20 +--R 12sinh(b x + a) + 228cosh(b x + a)sinh(b x + a) +--R + +--R 2 19 +--R (1560cosh(b x + a) + 24)sinh(b x + a) +--R + +--R 3 18 +--R (2952cosh(b x + a) + 192cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 17 +--R (- 25716cosh(b x + a) - 2040cosh(b x + a) - 21)sinh(b x + a) +--R + +--R 5 3 +--R - 237660cosh(b x + a) - 38208cosh(b x + a) +--R + +--R - 1323cosh(b x + a) +--R * +--R 16 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 1059168cosh(b x + a) - 271200cosh(b x + a) +--R + +--R 2 +--R - 19608cosh(b x + a) - 63 +--R * +--R 15 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 3190560cosh(b x + a) - 1178688cosh(b x + a) +--R + +--R 3 +--R - 144096cosh(b x + a) - 2595cosh(b x + a) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 7141224cosh(b x + a) - 3573024cosh(b x + a) +--R + +--R 4 2 +--R - 652620cosh(b x + a) - 28687cosh(b x + a) + 3 +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 12395448cosh(b x + a) - 8024640cosh(b x + a) +--R + +--R 5 3 +--R - 2015052cosh(b x + a) - 162179cosh(b x + a) +--R + +--R - 1227cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 17068272cosh(b x + a) - 13803504cosh(b x + a) +--R + +--R 6 4 +--R - 4481256cosh(b x + a) - 569739cosh(b x + a) +--R + +--R 2 +--R - 11086cosh(b x + a) + 57 +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 18871632cosh(b x + a) - 18532800cosh(b x + a) +--R + +--R 7 5 +--R - 7406256cosh(b x + a) - 1359391cosh(b x + a) +--R + +--R 3 +--R - 44818cosh(b x + a) + 597cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 16840200cosh(b x + a) - 19610448cosh(b x + a) +--R + +--R 8 6 +--R - 9248382cosh(b x + a) - 2306315cosh(b x + a) +--R + +--R 4 2 +--R - 108503cosh(b x + a) + 6183cosh(b x + a) + 9 +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 12122904cosh(b x + a) - 16396224cosh(b x + a) +--R + +--R 9 7 +--R - 8773050cosh(b x + a) - 2845359cosh(b x + a) +--R + +--R 5 3 +--R - 177681cosh(b x + a) + 31859cosh(b x + a) + 711cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 14 12 +--R - 6999648cosh(b x + a) - 10788960cosh(b x + a) +--R + +--R 10 8 +--R - 6290856cosh(b x + a) - 2568093cosh(b x + a) +--R + +--R 6 4 +--R - 212052cosh(b x + a) + 88058cosh(b x + a) +--R + +--R 2 +--R 5844cosh(b x + a) - 21 +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 15 13 +--R - 3203616cosh(b x + a) - 5525184cosh(b x + a) +--R + +--R 11 9 +--R - 3352128cosh(b x + a) - 1680393cosh(b x + a) +--R + +--R 7 5 +--R - 194604cosh(b x + a) + 144690cosh(b x + a) +--R + +--R 3 +--R 19892cosh(b x + a) + 255cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 16 14 +--R - 1139748cosh(b x + a) - 2157600cosh(b x + a) +--R + +--R 12 10 +--R - 1281228cosh(b x + a) - 775533cosh(b x + a) +--R + +--R 8 6 +--R - 141339cosh(b x + a) + 148078cosh(b x + a) +--R + +--R 4 2 +--R 36094cosh(b x + a) + 1327cosh(b x + a) - 3 +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 17 15 +--R - 305580cosh(b x + a) - 620736cosh(b x + a) +--R + +--R 13 11 +--R - 327036cosh(b x + a) - 238345cosh(b x + a) +--R + +--R 9 7 +--R - 80253cosh(b x + a) + 94438cosh(b x + a) +--R + +--R 5 3 +--R 37994cosh(b x + a) + 2387cosh(b x + a) + 75cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 18 16 +--R - 58728cosh(b x + a) - 124008cosh(b x + a) +--R + +--R 14 12 +--R - 46680cosh(b x + a) - 43097cosh(b x + a) +--R + +--R 10 8 +--R - 33534cosh(b x + a) + 35709cosh(b x + a) +--R + +--R 6 4 2 +--R 23396cosh(b x + a) + 2081cosh(b x + a) + 58cosh(b x + a) + 3 +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 19 17 +--R - 7416cosh(b x + a) - 15360cosh(b x + a) +--R + +--R 15 13 +--R - 1200cosh(b x + a) - 3189cosh(b x + a) +--R + +--R 11 9 +--R - 9250cosh(b x + a) + 6953cosh(b x + a) +--R + +--R 7 5 3 +--R 7924cosh(b x + a) + 925cosh(b x + a) - 74cosh(b x + a) +--R + +--R 15cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 20 18 +--R - 516cosh(b x + a) - 888cosh(b x + a) +--R + +--R 16 14 12 +--R 555cosh(b x + a) + 71cosh(b x + a) - 1393cosh(b x + a) +--R + +--R 10 8 6 +--R 443cosh(b x + a) + 1217cosh(b x + a) + 197cosh(b x + a) +--R + +--R 4 2 +--R - 55cosh(b x + a) - 15cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 21 17 15 +--R - 12cosh(b x + a) + 45cosh(b x + a) - 5cosh(b x + a) +--R + +--R 13 11 9 +--R - 71cosh(b x + a) - 9cosh(b x + a) + 39cosh(b x + a) +--R + +--R 7 5 3 +--R 17cosh(b x + a) - cosh(b x + a) - 3cosh(b x + a) +--R * +--R +-------------+ +--R 2 |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 21 20 +--R - 48sinh(b x + a) - 624cosh(b x + a)sinh(b x + a) +--R + +--R 2 19 +--R (- 2736cosh(b x + a) - 72)sinh(b x + a) +--R + +--R 3 18 +--R 2544cosh(b x + a) sinh(b x + a) +--R + +--R 4 2 17 +--R (89760cosh(b x + a) + 10536cosh(b x + a) + 120)sinh(b x + a) +--R + +--R 5 3 +--R 532032cosh(b x + a) + 109248cosh(b x + a) +--R + +--R 4860cosh(b x + a) +--R * +--R 16 +--R sinh(b x + a) +--R + +--R 6 4 +--R 1915968cosh(b x + a) + 594720cosh(b x + a) +--R + +--R 2 +--R 54516cosh(b x + a) + 196 +--R * +--R 15 +--R sinh(b x + a) +--R + +--R 7 5 +--R 4938432cosh(b x + a) + 2138304cosh(b x + a) +--R + +--R 3 +--R 320748cosh(b x + a) + 7040cosh(b x + a) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 8 6 +--R 9695712cosh(b x + a) + 5547360cosh(b x + a) +--R + +--R 4 2 +--R 1201668cosh(b x + a) + 65508cosh(b x + a) - 128 +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 9 7 +--R 14957280cosh(b x + a) + 10865088cosh(b x + a) +--R + +--R 5 3 +--R 3135756cosh(b x + a) + 312064cosh(b x + a) + 844cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 10 8 +--R 18436704cosh(b x + a) + 16480464cosh(b x + a) +--R + +--R 6 4 +--R 5980260cosh(b x + a) + 926420cosh(b x + a) +--R + +--R 2 +--R 13076cosh(b x + a) - 244 +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 11 9 +--R 18309408cosh(b x + a) + 19631040cosh(b x + a) +--R + +--R 7 5 +--R 8557692cosh(b x + a) + 1871232cosh(b x + a) +--R + +--R 3 +--R 58980cosh(b x + a) - 4160cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 12 10 +--R 14681472cosh(b x + a) + 18471024cosh(b x + a) +--R + +--R 8 6 +--R 9302436cosh(b x + a) + 2688180cosh(b x + a) +--R + +--R 4 2 +--R 145020cosh(b x + a) - 23772cosh(b x + a) + 24 +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 13 11 +--R 9475392cosh(b x + a) + 13715520cosh(b x + a) +--R + +--R 9 7 +--R 7689396cosh(b x + a) + 2804736cosh(b x + a) +--R + +--R 5 3 +--R 226104cosh(b x + a) - 70592cosh(b x + a) - 2572cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 14 12 +--R 4879680cosh(b x + a) + 7975968cosh(b x + a) +--R + +--R 10 8 +--R 4782492cosh(b x + a) + 2135628cosh(b x + a) +--R + +--R 6 4 +--R 238728cosh(b x + a) - 126728cosh(b x + a) +--R + +--R 2 +--R - 14884cosh(b x + a) + 124 +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 15 13 +--R 1974720cosh(b x + a) + 3576384cosh(b x + a) +--R + +--R 11 9 +--R 2180100cosh(b x + a) + 1175680cosh(b x + a) +--R + +--R 7 5 +--R 177672cosh(b x + a) - 146496cosh(b x + a) +--R + +--R 3 +--R - 35212cosh(b x + a) - 320cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 16 14 +--R 612816cosh(b x + a) + 1204320cosh(b x + a) +--R + +--R 12 10 +--R 689676cosh(b x + a) + 456236cosh(b x + a) +--R + +--R 8 6 +--R 97080cosh(b x + a) - 111160cosh(b x + a) +--R + +--R 4 2 +--R - 44500cosh(b x + a) - 2228cosh(b x + a) + 32 +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 17 15 +--R 140304cosh(b x + a) + 291648cosh(b x + a) +--R + +--R 13 11 +--R 133188cosh(b x + a) + 119040cosh(b x + a) +--R + +--R 9 7 +--R 41020cosh(b x + a) - 54592cosh(b x + a) +--R + +--R 5 3 +--R - 32196cosh(b x + a) - 3584cosh(b x + a) + 52cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 18 16 +--R 22224cosh(b x + a) + 47160cosh(b x + a) +--R + +--R 14 12 +--R 9228cosh(b x + a) + 19228cosh(b x + a) +--R + +--R 10 8 +--R 13732cosh(b x + a) - 16452cosh(b x + a) +--R + +--R 6 4 2 +--R - 13132cosh(b x + a) - 2444cosh(b x + a) + 76cosh(b x + a) +--R + +--R - 4 +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 19 17 +--R 2160cosh(b x + a) + 4416cosh(b x + a) +--R + +--R 15 13 +--R - 1644cosh(b x + a) + 1664cosh(b x + a) +--R + +--R 11 9 7 +--R 3284cosh(b x + a) - 2688cosh(b x + a) - 2724cosh(b x + a) +--R + +--R 5 3 +--R - 704cosh(b x + a) + 76cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 20 18 16 +--R 96cosh(b x + a) + 168cosh(b x + a) - 300cosh(b x + a) +--R + +--R 14 12 10 +--R 60cosh(b x + a) + 396cosh(b x + a) - 172cosh(b x + a) +--R + +--R 8 6 4 +--R - 212cosh(b x + a) - 60cosh(b x + a) + 20cosh(b x + a) +--R + +--R 2 +--R 4cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R 2 +--R tanh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R + +--R 20 2 19 +--R - 48cosh(b x + a)sinh(b x + a) - 1296cosh(b x + a) sinh(b x + a) +--R + +--R 3 18 +--R (- 14928cosh(b x + a) - 96cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 17 +--R (- 102000cosh(b x + a) - 1440cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 473280cosh(b x + a) - 9600cosh(b x + a) + 84cosh(b x + a)) +--R * +--R 16 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 1602624cosh(b x + a) - 36480cosh(b x + a) +--R + +--R 2 +--R 2556cosh(b x + a) +--R * +--R 15 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 4135488cosh(b x + a) - 80640cosh(b x + a) +--R + +--R 3 +--R 25572cosh(b x + a) + 252cosh(b x + a) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 8359104cosh(b x + a) - 69888cosh(b x + a) +--R + +--R 4 2 +--R 138060cosh(b x + a) + 2748cosh(b x + a) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 13472160cosh(b x + a) + 174720cosh(b x + a) +--R + +--R 5 3 +--R 477828cosh(b x + a) + 13176cosh(b x + a) - 12cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 17503200cosh(b x + a) + 823680cosh(b x + a) +--R + +--R 6 4 2 +--R 1151436cosh(b x + a) + 35640cosh(b x + a) - 1668cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 18436704cosh(b x + a) + 1784640cosh(b x + a) +--R + +--R 7 5 3 +--R 2019732cosh(b x + a) + 56100cosh(b x + a) - 14244cosh(b x + a) +--R + +--R - 228cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 15763488cosh(b x + a) + 2608320cosh(b x + a) +--R + +--R 8 6 4 +--R 2640924cosh(b x + a) + 39204cosh(b x + a) - 55116cosh(b x + a) +--R + +--R 2 +--R - 1572cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 10905024cosh(b x + a) + 2800512cosh(b x + a) +--R + +--R 9 7 +--R 2599740cosh(b x + a) - 33264cosh(b x + a) +--R + +--R 5 3 +--R - 124344cosh(b x + a) - 4752cosh(b x + a) - 36cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 14 12 +--R - 6054720cosh(b x + a) + 2271360cosh(b x + a) +--R + +--R 10 8 +--R 1923636cosh(b x + a) - 121968cosh(b x + a) +--R + +--R 6 4 2 +--R - 178920cosh(b x + a) - 8400cosh(b x + a) + 468cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 15 13 +--R - 2660160cosh(b x + a) + 1397760cosh(b x + a) +--R + +--R 11 9 +--R 1055340cosh(b x + a) - 160380cosh(b x + a) +--R + +--R 7 5 3 +--R - 168840cosh(b x + a) - 9912cosh(b x + a) + 2940cosh(b x + a) +--R + +--R 84cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 16 14 +--R - 904128cosh(b x + a) + 645120cosh(b x + a) +--R + +--R 12 10 +--R 416676cosh(b x + a) - 128700cosh(b x + a) +--R + +--R 8 6 4 +--R - 102744cosh(b x + a) - 8568cosh(b x + a) + 6420cosh(b x + a) +--R + +--R 2 +--R 276cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 17 15 +--R - 229296cosh(b x + a) + 216960cosh(b x + a) +--R + +--R 13 11 +--R 111852cosh(b x + a) - 67848cosh(b x + a) +--R + +--R 9 7 5 +--R - 37116cosh(b x + a) - 5712cosh(b x + a) + 6900cosh(b x + a) +--R + +--R 3 +--R 408cosh(b x + a) + 12cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 18 16 +--R - 40848cosh(b x + a) + 50304cosh(b x + a) +--R + +--R 14 12 10 +--R 18180cosh(b x + a) - 23112cosh(b x + a) - 5844cosh(b x + a) +--R + +--R 8 6 4 +--R - 2832cosh(b x + a) + 3804cosh(b x + a) + 408cosh(b x + a) +--R + +--R 2 +--R - 60cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 19 17 15 +--R - 4560cosh(b x + a) + 7200cosh(b x + a) + 1308cosh(b x + a) +--R + +--R 13 11 9 +--R - 4644cosh(b x + a) + 492cosh(b x + a) - 900cosh(b x + a) +--R + +--R 7 5 3 +--R 948cosh(b x + a) + 276cosh(b x + a) - 108cosh(b x + a) +--R + +--R - 12cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 20 18 16 +--R - 240cosh(b x + a) + 480cosh(b x + a) - 12cosh(b x + a) +--R + +--R 14 12 10 +--R - 420cosh(b x + a) + 228cosh(b x + a) - 132cosh(b x + a) +--R + +--R 8 6 4 +--R 60cosh(b x + a) + 84cosh(b x + a) - 36cosh(b x + a) +--R + +--R 2 +--R - 12cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 20 2 19 +--R 240cosh(b x + a)sinh(b x + a) + 4560cosh(b x + a) sinh(b x + a) +--R + +--R 3 18 +--R (40848cosh(b x + a) + 240cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 17 +--R (229296cosh(b x + a) + 3120cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (904128cosh(b x + a) + 17856cosh(b x + a) - 708cosh(b x + a)) +--R * +--R 16 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (2660160cosh(b x + a) + 56640cosh(b x + a) - 10188cosh(b x + a) ) +--R * +--R 15 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 6054720cosh(b x + a) + 94080cosh(b x + a) - 67860cosh(b x + a) +--R + +--R - 672cosh(b x + a) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 8 4 2 +--R (10905024cosh(b x + a) - 277212cosh(b x + a) - 6432cosh(b x + a) ) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 15763488cosh(b x + a) - 436800cosh(b x + a) - 775476cosh(b x + a) +--R + +--R 3 +--R - 26496cosh(b x + a) + 756cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 10 8 +--R 18436704cosh(b x + a) - 1290432cosh(b x + a) +--R + +--R 6 4 2 +--R - 1570140cosh(b x + a) - 59136cosh(b x + a) + 7356cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 11 9 +--R 17503200cosh(b x + a) - 2265120cosh(b x + a) +--R + +--R 7 5 3 +--R - 2369796cosh(b x + a) - 68640cosh(b x + a) + 32220cosh(b x + a) +--R + +--R 648cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 12 10 +--R 13472160cosh(b x + a) - 2814240cosh(b x + a) +--R + +--R 8 6 4 +--R - 2702700cosh(b x + a) - 9504cosh(b x + a) + 83700cosh(b x + a) +--R + +--R 2 +--R 4080cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 13 11 +--R 8359104cosh(b x + a) - 2608320cosh(b x + a) +--R + +--R 9 7 5 +--R - 2332044cosh(b x + a) + 101376cosh(b x + a) + 142920cosh(b x + a) +--R + +--R 3 +--R 10464cosh(b x + a) - 348cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 14 12 +--R 4135488cosh(b x + a) - 1834560cosh(b x + a) +--R + +--R 10 8 +--R - 1504932cosh(b x + a) + 177408cosh(b x + a) +--R + +--R 6 4 2 +--R 167832cosh(b x + a) + 13440cosh(b x + a) - 1812cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 15 13 +--R 1602624cosh(b x + a) - 978432cosh(b x + a) +--R + +--R 11 9 7 +--R - 705276cosh(b x + a) + 161568cosh(b x + a) + 137592cosh(b x + a) +--R + +--R 5 3 +--R 7728cosh(b x + a) - 3900cosh(b x + a) - 240cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 16 14 12 +--R 473280cosh(b x + a) - 389760cosh(b x + a) - 225108cosh(b x + a) +--R + +--R 10 8 6 +--R 89760cosh(b x + a) + 78120cosh(b x + a) - 672cosh(b x + a) +--R + +--R 4 2 +--R - 4500cosh(b x + a) - 768cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 17 15 13 +--R 102000cosh(b x + a) - 112320cosh(b x + a) - 41340cosh(b x + a) +--R + +--R 11 9 7 +--R 29568cosh(b x + a) + 29700cosh(b x + a) - 3360cosh(b x + a) +--R + +--R 5 3 +--R - 3060cosh(b x + a) - 864cosh(b x + a) + 60cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 18 16 14 +--R 14928cosh(b x + a) - 22080cosh(b x + a) - 1332cosh(b x + a) +--R + +--R 12 10 8 +--R 4608cosh(b x + a) + 7020cosh(b x + a) - 1536cosh(b x + a) +--R + +--R 6 4 2 +--R - 1308cosh(b x + a) - 384cosh(b x + a) + 84cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 19 17 15 +--R 1296cosh(b x + a) - 2640cosh(b x + a) + 1044cosh(b x + a) +--R + +--R 13 11 9 +--R - 96cosh(b x + a) + 876cosh(b x + a) - 120cosh(b x + a) +--R + +--R 7 5 3 +--R - 372cosh(b x + a) - 48cosh(b x + a) + 36cosh(b x + a) +--R + +--R 24cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 20 18 16 +--R 48cosh(b x + a) - 144cosh(b x + a) + 156cosh(b x + a) +--R + +--R 14 12 10 +--R - 96cosh(b x + a) + 36cosh(b x + a) + 48cosh(b x + a) +--R + +--R 8 4 +--R - 60cosh(b x + a) + 12cosh(b x + a) +--R * +--R sinh(b x + a) +--R / +--R 20 2 19 +--R 48cosh(b x + a)sinh(b x + a) + 1296cosh(b x + a) sinh(b x + a) +--R + +--R 3 18 +--R (14928cosh(b x + a) + 96cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 17 +--R (102000cosh(b x + a) + 1440cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (473280cosh(b x + a) + 9600cosh(b x + a) - 84cosh(b x + a)) +--R * +--R 16 +--R sinh(b x + a) +--R + +--R 6 4 +--R 1602624cosh(b x + a) + 36480cosh(b x + a) +--R + +--R 2 +--R - 2556cosh(b x + a) +--R * +--R 15 +--R sinh(b x + a) +--R + +--R 7 5 +--R 4135488cosh(b x + a) + 80640cosh(b x + a) +--R + +--R 3 +--R - 25572cosh(b x + a) - 252cosh(b x + a) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 8 6 +--R 8359104cosh(b x + a) + 69888cosh(b x + a) +--R + +--R 4 2 +--R - 138060cosh(b x + a) - 2748cosh(b x + a) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 9 7 +--R 13472160cosh(b x + a) - 174720cosh(b x + a) +--R + +--R 5 3 +--R - 477828cosh(b x + a) - 13176cosh(b x + a) + 12cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 10 8 +--R 17503200cosh(b x + a) - 823680cosh(b x + a) +--R + +--R 6 4 +--R - 1151436cosh(b x + a) - 35640cosh(b x + a) +--R + +--R 2 +--R 1668cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 11 9 +--R 18436704cosh(b x + a) - 1784640cosh(b x + a) +--R + +--R 7 5 +--R - 2019732cosh(b x + a) - 56100cosh(b x + a) +--R + +--R 3 +--R 14244cosh(b x + a) + 228cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 12 10 +--R 15763488cosh(b x + a) - 2608320cosh(b x + a) +--R + +--R 8 6 +--R - 2640924cosh(b x + a) - 39204cosh(b x + a) +--R + +--R 4 2 +--R 55116cosh(b x + a) + 1572cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 13 11 +--R 10905024cosh(b x + a) - 2800512cosh(b x + a) +--R + +--R 9 7 +--R - 2599740cosh(b x + a) + 33264cosh(b x + a) +--R + +--R 5 3 +--R 124344cosh(b x + a) + 4752cosh(b x + a) + 36cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 14 12 +--R 6054720cosh(b x + a) - 2271360cosh(b x + a) +--R + +--R 10 8 +--R - 1923636cosh(b x + a) + 121968cosh(b x + a) +--R + +--R 6 4 2 +--R 178920cosh(b x + a) + 8400cosh(b x + a) - 468cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 15 13 +--R 2660160cosh(b x + a) - 1397760cosh(b x + a) +--R + +--R 11 9 +--R - 1055340cosh(b x + a) + 160380cosh(b x + a) +--R + +--R 7 5 3 +--R 168840cosh(b x + a) + 9912cosh(b x + a) - 2940cosh(b x + a) +--R + +--R - 84cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 16 14 +--R 904128cosh(b x + a) - 645120cosh(b x + a) +--R + +--R 12 10 +--R - 416676cosh(b x + a) + 128700cosh(b x + a) +--R + +--R 8 6 4 +--R 102744cosh(b x + a) + 8568cosh(b x + a) - 6420cosh(b x + a) +--R + +--R 2 +--R - 276cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 17 15 +--R 229296cosh(b x + a) - 216960cosh(b x + a) +--R + +--R 13 11 +--R - 111852cosh(b x + a) + 67848cosh(b x + a) +--R + +--R 9 7 5 +--R 37116cosh(b x + a) + 5712cosh(b x + a) - 6900cosh(b x + a) +--R + +--R 3 +--R - 408cosh(b x + a) - 12cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 18 16 +--R 40848cosh(b x + a) - 50304cosh(b x + a) +--R + +--R 14 12 +--R - 18180cosh(b x + a) + 23112cosh(b x + a) +--R + +--R 10 8 6 +--R 5844cosh(b x + a) + 2832cosh(b x + a) - 3804cosh(b x + a) +--R + +--R 4 2 +--R - 408cosh(b x + a) + 60cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 19 17 15 +--R 4560cosh(b x + a) - 7200cosh(b x + a) - 1308cosh(b x + a) +--R + +--R 13 11 9 +--R 4644cosh(b x + a) - 492cosh(b x + a) + 900cosh(b x + a) +--R + +--R 7 5 3 +--R - 948cosh(b x + a) - 276cosh(b x + a) + 108cosh(b x + a) +--R + +--R 12cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 20 18 16 +--R 240cosh(b x + a) - 480cosh(b x + a) + 12cosh(b x + a) +--R + +--R 14 12 10 +--R 420cosh(b x + a) - 228cosh(b x + a) + 132cosh(b x + a) +--R + +--R 8 6 4 +--R - 60cosh(b x + a) - 84cosh(b x + a) + 36cosh(b x + a) +--R + +--R 2 +--R 12cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R +-------------+ +--R 2 |sinh(b x + a) +--R tanh(b x + a) |------------- +--R \|cosh(b x + a) +--R + +--R 20 +--R - 240cosh(b x + a)sinh(b x + a) +--R + +--R 2 19 +--R - 4560cosh(b x + a) sinh(b x + a) +--R + +--R 3 18 +--R (- 40848cosh(b x + a) - 240cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 17 +--R (- 229296cosh(b x + a) - 3120cosh(b x + a) )sinh(b x + a) +--R + +--R 5 3 +--R (- 904128cosh(b x + a) - 17856cosh(b x + a) + 708cosh(b x + a)) +--R * +--R 16 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 2660160cosh(b x + a) - 56640cosh(b x + a) +--R + +--R 2 +--R 10188cosh(b x + a) +--R * +--R 15 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 6054720cosh(b x + a) - 94080cosh(b x + a) +--R + +--R 3 +--R 67860cosh(b x + a) + 672cosh(b x + a) +--R * +--R 14 +--R sinh(b x + a) +--R + +--R 8 4 +--R - 10905024cosh(b x + a) + 277212cosh(b x + a) +--R + +--R 2 +--R 6432cosh(b x + a) +--R * +--R 13 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 15763488cosh(b x + a) + 436800cosh(b x + a) +--R + +--R 5 3 +--R 775476cosh(b x + a) + 26496cosh(b x + a) - 756cosh(b x + a) +--R * +--R 12 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 18436704cosh(b x + a) + 1290432cosh(b x + a) +--R + +--R 6 4 2 +--R 1570140cosh(b x + a) + 59136cosh(b x + a) - 7356cosh(b x + a) +--R * +--R 11 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 17503200cosh(b x + a) + 2265120cosh(b x + a) +--R + +--R 7 5 +--R 2369796cosh(b x + a) + 68640cosh(b x + a) +--R + +--R 3 +--R - 32220cosh(b x + a) - 648cosh(b x + a) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 13472160cosh(b x + a) + 2814240cosh(b x + a) +--R + +--R 8 6 +--R 2702700cosh(b x + a) + 9504cosh(b x + a) +--R + +--R 4 2 +--R - 83700cosh(b x + a) - 4080cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 8359104cosh(b x + a) + 2608320cosh(b x + a) +--R + +--R 9 7 +--R 2332044cosh(b x + a) - 101376cosh(b x + a) +--R + +--R 5 3 +--R - 142920cosh(b x + a) - 10464cosh(b x + a) + 348cosh(b x + a) +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 14 12 +--R - 4135488cosh(b x + a) + 1834560cosh(b x + a) +--R + +--R 10 8 +--R 1504932cosh(b x + a) - 177408cosh(b x + a) +--R + +--R 6 4 2 +--R - 167832cosh(b x + a) - 13440cosh(b x + a) + 1812cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 15 13 +--R - 1602624cosh(b x + a) + 978432cosh(b x + a) +--R + +--R 11 9 +--R 705276cosh(b x + a) - 161568cosh(b x + a) +--R + +--R 7 5 +--R - 137592cosh(b x + a) - 7728cosh(b x + a) +--R + +--R 3 +--R 3900cosh(b x + a) + 240cosh(b x + a) +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 16 14 +--R - 473280cosh(b x + a) + 389760cosh(b x + a) +--R + +--R 12 10 +--R 225108cosh(b x + a) - 89760cosh(b x + a) +--R + +--R 8 6 4 +--R - 78120cosh(b x + a) + 672cosh(b x + a) + 4500cosh(b x + a) +--R + +--R 2 +--R 768cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 17 15 +--R - 102000cosh(b x + a) + 112320cosh(b x + a) +--R + +--R 13 11 +--R 41340cosh(b x + a) - 29568cosh(b x + a) +--R + +--R 9 7 5 +--R - 29700cosh(b x + a) + 3360cosh(b x + a) + 3060cosh(b x + a) +--R + +--R 3 +--R 864cosh(b x + a) - 60cosh(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 18 16 +--R - 14928cosh(b x + a) + 22080cosh(b x + a) +--R + +--R 14 12 10 +--R 1332cosh(b x + a) - 4608cosh(b x + a) - 7020cosh(b x + a) +--R + +--R 8 6 4 +--R 1536cosh(b x + a) + 1308cosh(b x + a) + 384cosh(b x + a) +--R + +--R 2 +--R - 84cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 19 17 +--R - 1296cosh(b x + a) + 2640cosh(b x + a) +--R + +--R 15 13 11 +--R - 1044cosh(b x + a) + 96cosh(b x + a) - 876cosh(b x + a) +--R + +--R 9 7 5 +--R 120cosh(b x + a) + 372cosh(b x + a) + 48cosh(b x + a) +--R + +--R 3 +--R - 36cosh(b x + a) - 24cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 20 18 16 +--R - 48cosh(b x + a) + 144cosh(b x + a) - 156cosh(b x + a) +--R + +--R 14 12 10 +--R 96cosh(b x + a) - 36cosh(b x + a) - 48cosh(b x + a) +--R + +--R 8 4 +--R 60cosh(b x + a) - 12cosh(b x + a) +--R * +--R sinh(b x + a) +--R * +--R 2 +--R tanh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R Type: Expression Integer +--E 425 + +--S 46 of 500 +t0285:= tanh(8*x)^(1/3) +--R +--R +--R 3+--------+ +--R (293) \|tanh(8x) +--R Type: Expression Integer +--E 46 + +--S 427 of 500 +r0285:= -1/16*3^(1/2)*atan(1/3*(1+2*tanh(8*x)^(2/3))*3^(1/2))-_ + 1/16*log(1-tanh(8*x)^(2/3))+_ + 1/32*log(1+tanh(8*x)^(2/3)+tanh(8*x)^(4/3)) +--R +--R +--R (294) +--R 3+--------+2 3+--------+ 3+--------+2 +--R log(\|tanh(8x) + tanh(8x)\|tanh(8x) + 1) - 2log(- \|tanh(8x) + 1) +--R + +--R +-+3+--------+2 +-+ +--R +-+ 2\|3 \|tanh(8x) + \|3 +--R - 2\|3 atan(------------------------) +--R 3 +--R / +--R 32 +--R Type: Expression Integer +--E 427 + +--S 428 of 500 +--a0285:= integrate(t0285,x) +--E 428 + +--S 429 of 500 +--m0285:= a0285-r0285 +--E 429 + +--S 430 of 500 +--d0285:= D(m0285,x) +--E 430 + +--S 431 of 500 +t0286:= x*tanh(a+b*x) +--R +--R +--R (295) x tanh(b x + a) +--R Type: Expression Integer +--E 431 + +--S 432 of 500 +r0286:= 1/2*(-b^2*x^2+2*x*log(exp(2*a+2*b*x)+1)*b+_ + polylog(2,-exp(2*a+2*b*x)))/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 432 + +--S 433 of 500 +a0286:= integrate(t0286,x) +--R +--R +--R x +--R ++ +--R (296) | %R tanh(%R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 433 + +--S 434 of 500 +--m0286:= a0286-r0286 +--E 434 + +--S 435 of 500 +--d0286:= D(m0286,x) +--E 435 + +--S 436 of 500 +t0287:= x*tanh(a+b*x)^2 +--R +--R +--R 2 +--R (297) x tanh(b x + a) +--R Type: Expression Integer +--E 436 + +--S 437 of 500 +r0287:= 1/2*x^2+log(cosh(a+b*x))/b^2-x*tanh(a+b*x)/b +--R +--R +--R 2 2 +--R 2log(cosh(b x + a)) - 2b x tanh(b x + a) + b x +--R (298) ----------------------------------------------- +--R 2 +--R 2b +--R Type: Expression Integer +--E 437 + +--S 438 of 500 +a0287:= integrate(t0287,x) +--R +--R +--R (299) +--R 2 2 +--R (2sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) + 2cosh(b x + a) + 2) +--R * +--R 2cosh(b x + a) +--R log(- -----------------------------) +--R sinh(b x + a) - cosh(b x + a) +--R + +--R 2 2 2 2 2 +--R (b x - 4b x)sinh(b x + a) + (2b x - 8b x)cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 2 2 2 +--R (b x - 4b x)cosh(b x + a) + b x +--R / +--R 2 2 2 2 2 2 +--R 2b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) + 2b cosh(b x + a) + 2b +--R Type: Union(Expression Integer,...) +--E 438 + +--S 439 of 500 +m0287:= a0287-r0287 +--R +--R +--R (300) +--R 2 2 +--R (- sinh(b x + a) - 2cosh(b x + a)sinh(b x + a) - cosh(b x + a) - 1) +--R * +--R log(cosh(b x + a)) +--R + +--R 2 2 +--R (sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) + cosh(b x + a) + 1) +--R * +--R 2cosh(b x + a) +--R log(- -----------------------------) +--R sinh(b x + a) - cosh(b x + a) +--R + +--R 2 +--R b x sinh(b x + a) + 2b x cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R b x cosh(b x + a) + b x +--R * +--R tanh(b x + a) +--R + +--R 2 +--R - 2b x sinh(b x + a) - 4b x cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R - 2b x cosh(b x + a) +--R / +--R 2 2 2 2 2 2 +--R b sinh(b x + a) + 2b cosh(b x + a)sinh(b x + a) + b cosh(b x + a) + b +--R Type: Expression Integer +--E 439 + +--S 440 of 500 +d0287:= D(m0287,x) +--R +--R +--R (301) +--R 4 3 +--R - b x sinh(b x + a) - 4b x cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (- 6b x cosh(b x + a) - 2b x)sinh(b x + a) +--R + +--R 3 +--R (- 4b x cosh(b x + a) - 4b x cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R - b x cosh(b x + a) - 2b x cosh(b x + a) - b x +--R * +--R 2 +--R tanh(b x + a) +--R + +--R 4 3 +--R sinh(b x + a) + 4cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (6cosh(b x + a) + 2)sinh(b x + a) +--R + +--R 3 4 +--R (4cosh(b x + a) + 4cosh(b x + a))sinh(b x + a) + cosh(b x + a) +--R + +--R 2 +--R 2cosh(b x + a) + 1 +--R * +--R tanh(b x + a) +--R + +--R 4 3 +--R (b x - 1)sinh(b x + a) + (4b x - 4)cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R ((6b x - 6)cosh(b x + a) - 2b x)sinh(b x + a) +--R + +--R 3 +--R ((4b x - 4)cosh(b x + a) - 4b x cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R (b x - 1)cosh(b x + a) - 2b x cosh(b x + a) + b x + 1 +--R / +--R 4 3 +--R b sinh(b x + a) + 4b cosh(b x + a)sinh(b x + a) +--R + +--R 2 2 +--R (6b cosh(b x + a) + 2b)sinh(b x + a) +--R + +--R 3 4 +--R (4b cosh(b x + a) + 4b cosh(b x + a))sinh(b x + a) + b cosh(b x + a) +--R + +--R 2 +--R 2b cosh(b x + a) + b +--R Type: Expression Integer +--E 440 + +--S 441 of 500 +t0288:= x*tanh(a+b*x)^3 +--R +--R +--R 3 +--R (302) x tanh(b x + a) +--R Type: Expression Integer +--E 441 + +--S 442 of 500 +r0288:= -1/2*x^2+x*log(1+exp(1)^(2*a+2*b*x))/b+_ + 1/2*polylog(2,-exp(1)^(2*a+2*b*x))/b^2+_ + 1/2*x*sech(a+b*x)^2/b-1/2*tanh(a+b*x)/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 442 + +--S 443 of 500 +a0288:= integrate(t0288,x) +--R +--R +--R x +--R ++ 3 +--R (303) | %R tanh(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 443 + +--S 444 of 500 +--m0288:= a0288-r0288 +--E 444 + +--S 445 of 500 +--d0288:= D(m0288,x) +--E 445 + +--S 446 of 500 +t0289:= x^2*tanh(a+b*x) +--R +--R +--R 2 +--R (304) x tanh(b x + a) +--R Type: Expression Integer +--E 446 + +--S 447 of 500 +r0289:= 1/6*(-2*b^3*x^3+6*x^2*log(exp(2*a+2*b*x)+1)*b^2+_ + 6*x*polylog(2,-exp(2*a+2*b*x))*b-3*polylog(3,-exp(2*a+2*b*x)))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 447 + +--S 448 of 500 +a0289:= integrate(t0289,x) +--R +--R +--R x +--R ++ 2 +--R (305) | %R tanh(%R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 448 + +--S 449 of 500 +--m0289:= a0289-r0289 +--E 449 + +--S 450 of 500 +--d0289:= D(m0289,x) +--E 450 + +--S 451 of 500 +t0290:= x^2*tanh(a+b*x)^2 +--R +--R +--R 2 2 +--R (306) x tanh(b x + a) +--R Type: Expression Integer +--E 451 + +--S 452 of 500 +r0290:= 1/3*(-3*b^2*x^2+b^3*x^3+6*x*log(exp(2*a+2*b*x)+1)*b+_ + 3*polylog(2,-exp(2*a+2*b*x))-3*x^2*tanh(a+b*x)*b^2)/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 452 + +--S 453 of 500 +a0290:= integrate(t0290,x) +--R +--R +--R x +--R ++ 2 2 +--R (307) | %R tanh(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 453 + +--S 454 of 500 +--m0290:= a0290-r0290 +--E 454 + +--S 455 of 500 +--d0290:= D(m0290,x) +--E 455 + +--S 456 of 500 +t0291:= x^2*tanh(a+b*x)^3 +--R +--R +--R 2 3 +--R (308) x tanh(b x + a) +--R Type: Expression Integer +--E 456 + +--S 457 of 500 +r0291:= -1/3*x^3+x^2*log(1+exp(1)^(2*a+2*b*x))/b+log(cosh(a+b*x))/b^3+_ + x*polylog(2,-exp(1)^(2*a+2*b*x))/b^2-_ + 1/2*polylog(3,-exp(1)^(2*a+2*b*x))/b^3+_ + 1/2*x^2*sech(a+b*x)^2/b-x*tanh(a+b*x)/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 457 + +--S 458 of 500 +a0291:= integrate(t0291,x) +--R +--R +--R x +--R ++ 2 3 +--R (309) | %R tanh(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 458 + +--S 459 of 500 +--m0291:= a0291-r0291 +--E 459 + +--S 460 of 500 +--d0291:= D(m0291,x) +--E 460 + +--S 461 of 500 +t0292:= x^3*tanh(a+b*x)^2 +--R +--R +--R 3 2 +--R (310) x tanh(b x + a) +--R Type: Expression Integer +--E 461 + +--S 462 of 500 +r0292:= -1/4*(4*b^3*x^3-x^4*b^4-12*x^2*log(exp(2*a+2*b*x)+1)*b^2-_ + 12*x*polylog(2,-exp(2*a+2*b*x))*b+6*polylog(3,-exp(2*a+2*b*x))+_ + 4*x^3*tanh(a+b*x)*b^3)/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 462 + +--S 463 of 500 +a0292:= integrate(t0292,x) +--R +--R +--R x +--R ++ 3 2 +--R (311) | %R tanh(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 463 + +--S 464 of 500 +--m0292:= a0292-r0292 +--E 464 + +--S 465 of 500 +--d0292:= D(m0292,x) +--E 465 + +--S 466 of 500 +t0293:= x^3*tanh(a+b*x)^3 +--R +--R +--R 3 3 +--R (312) x tanh(b x + a) +--R Type: Expression Integer +--E 466 + +--S 467 of 500 +r0293:= -3/2*x^2/b^2-1/4*x^4+3*x*log(1+exp(1)^(2*a+2*b*x))/b^3+_ + x^3*log(1+exp(1)^(2*a+2*b*x))/b+3/2*(1+b^2*x^2)*_ + polylog(2,-exp(1)^(2*a+2*b*x))/b^4-3/2*x*_ + polylog(3,-exp(1)^(2*a+2*b*x))/b^3+3/4*_ + polylog(4,-exp(1)^(2*a+2*b*x))/b^4+1/2*x^3*_ + sech(a+b*x)^2/b-3/2*x^2*tanh(a+b*x)/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 467 + +--S 468 of 500 +a0293:= integrate(t0293,x) +--R +--R +--R x +--R ++ 3 3 +--R (313) | %R tanh(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 468 + +--S 469 of 500 +--m0293:= a0293-r0293 +--E 469 + +--S 470 of 500 +--d0293:= D(m0293,x) +--E 470 + +--S 471 of 500 +t0294:= (a*tanh(x)^2)^(1/2) +--R +--R +--R +----------+ +--R | 2 +--R (314) \|a tanh(x) +--R Type: Expression Integer +--E 471 + +--S 472 of 500 +r0294:= coth(x)*log(cosh(x))*(a*tanh(x)^2)^(1/2) +--R +--R +--R +----------+ +--R | 2 +--R (315) coth(x)log(cosh(x))\|a tanh(x) +--R Type: Expression Integer +--E 472 + +--S 473 of 500 +a0294:= integrate(t0294,x) +--R +--R +--R +-+ 2cosh(x) +-+ +--R (316) \|a log(- -----------------) - x\|a +--R sinh(x) - cosh(x) +--R Type: Union(Expression Integer,...) +--E 473 + +--S 474 of 500 +m0294:= a0294-r0294 +--R +--R +--R (317) +--R +----------+ +--R | 2 +-+ 2cosh(x) +-+ +--R - coth(x)log(cosh(x))\|a tanh(x) + \|a log(- -----------------) - x\|a +--R sinh(x) - cosh(x) +--R Type: Expression Integer +--E 474 + +--S 475 of 500 +d0294:= D(m0294,x) +--R +--R +--R (318) +--R +----------+ +--R +-+ | 2 +--R sinh(x)\|a \|a tanh(x) +--R + +--R 3 2 2 +--R a cosh(x)coth(x)tanh(x) + (a cosh(x)coth(x) - a cosh(x))tanh(x) +--R + +--R - a cosh(x)coth(x)tanh(x) +--R * +--R log(cosh(x)) +--R + +--R 2 +--R - a coth(x)sinh(x)tanh(x) +--R / +--R +----------+ +--R | 2 +--R cosh(x)\|a tanh(x) +--R Type: Expression Integer +--E 475 + +--S 476 of 500 +t0295:= (a*tanh(x)^3)^(1/2) +--R +--R +--R +----------+ +--R | 3 +--R (319) \|a tanh(x) +--R Type: Expression Integer +--E 476 + +--S 477 of 500 +r0295:= (atan(tanh(x)^(1/2))+atanh(tanh(x)^(1/2))-2*tanh(x)^(1/2))*_ + (a*tanh(x)^3)^(1/2)/tanh(x)^(3/2) +--R +--R +--R (320) +--R +----------+ +----------+ +--R | 3 +-------+ | 3 +-------+ +--R \|a tanh(x) atanh(\|tanh(x) ) + \|a tanh(x) atan(\|tanh(x) ) +--R + +--R +----------+ +--R +-------+ | 3 +--R - 2\|tanh(x) \|a tanh(x) +--R / +--R +-------+ +--R tanh(x)\|tanh(x) +--R Type: Expression Integer +--E 477 + +--S 478 of 500 +a0295:= integrate(t0295,x) +--R +--R +--R (321) +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) - 1)\|- a |--------- +--R \| cosh(x) +--R + +--R 2 2 +--R - a sinh(x) - 2a cosh(x)sinh(x) - a cosh(x) - a +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 2)\|- a |--------- +--R \| cosh(x) +--R + +--R 2 2 +--R - 2a sinh(x) - 4a cosh(x)sinh(x) - 2a cosh(x) - 2a +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R - 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) +--R / +--R +---------+ +--R 2 2 |a sinh(x) +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) + 2) |--------- +--R \| cosh(x) +--R + +--R 2 2 +---+ +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 2)\|- a +--R Type: Union(Expression Integer,...) +--E 478 + +--S 479 of 500 +m0295:= a0295-r0295 +--R +--R +--R (322) +--R 2 2 +---+ +--R (- sinh(x) - 2cosh(x)sinh(x) - cosh(x) - 1)tanh(x)\|- a +--R * +--R +---------+ +--R |a sinh(x) +--R |--------- +--R \| cosh(x) +--R + +--R 2 2 +--R (- a sinh(x) - 2a cosh(x)sinh(x) - a cosh(x) - a)tanh(x) +--R * +--R +-------+ +--R \|tanh(x) +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R +---------+ +--R 2 2 |a sinh(x) +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 2) |--------- +--R \| cosh(x) +--R + +--R 2 2 +---+ +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) + 2)\|- a +--R * +--R +----------+ +--R | 3 +-------+ +--R \|a tanh(x) atanh(\|tanh(x) ) +--R + +--R +---------+ +--R 2 2 |a sinh(x) +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 2) |--------- +--R \| cosh(x) +--R + +--R 2 2 +---+ +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) + 2)\|- a +--R * +--R +----------+ +--R | 3 +-------+ +--R \|a tanh(x) atan(\|tanh(x) ) +--R + +--R 2 2 +---+ +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 2)tanh(x)\|- a +--R * +--R +---------+ +--R |a sinh(x) +--R |--------- +--R \| cosh(x) +--R + +--R 2 2 +--R (- 2a sinh(x) - 4a cosh(x)sinh(x) - 2a cosh(x) - 2a)tanh(x) +--R * +--R +-------+ +--R \|tanh(x) +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R +---------+ +--R 2 2 |a sinh(x) +--R (4sinh(x) + 8cosh(x)sinh(x) + 4cosh(x) + 4) |--------- +--R \| cosh(x) +--R + +--R 2 2 +---+ +--R (- 4sinh(x) - 8cosh(x)sinh(x) - 4cosh(x) - 4)\|- a +--R * +--R +----------+ +--R +-------+ | 3 +--R \|tanh(x) \|a tanh(x) +--R + +--R 2 2 +-------+ +--R (- 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) )tanh(x)\|tanh(x) +--R / +--R +---------+ +--R 2 2 |a sinh(x) +--R (2sinh(x) + 4cosh(x)sinh(x) + 2cosh(x) + 2)tanh(x) |--------- +--R \| cosh(x) +--R + +--R 2 2 +---+ +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 2)tanh(x)\|- a +--R * +--R +-------+ +--R \|tanh(x) +--R Type: Expression Integer +--E 479 + +--S 480 of 500 +d0295:= D(m0295,x) +--R +--R +--R (323) +--R 14 13 +--R - a sinh(x) - 4a cosh(x)sinh(x) +--R + +--R 2 12 +--R (15a cosh(x) - 5a)sinh(x) +--R + +--R 3 11 +--R (144a cosh(x) - 38a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (451a cosh(x) - 108a cosh(x) - 10a)sinh(x) +--R + +--R 5 3 9 +--R (748a cosh(x) - 90a cosh(x) - 88a cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (627a cosh(x) + 255a cosh(x) - 342a cosh(x) - 10a)sinh(x) +--R + +--R 5 3 7 +--R (900a cosh(x) - 768a cosh(x) - 76a cosh(x))sinh(x) +--R + +--R 8 6 4 +--R - 627a cosh(x) + 1344a cosh(x) - 1092a cosh(x) +--R + +--R 2 +--R - 244a cosh(x) - 5a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R - 748a cosh(x) + 1164a cosh(x) - 1008a cosh(x) +--R + +--R 3 +--R - 428a cosh(x) - 20a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R - 451a cosh(x) + 585a cosh(x) - 588a cosh(x) +--R + +--R 4 2 +--R - 440a cosh(x) + 15a cosh(x) - a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R - 144a cosh(x) + 130a cosh(x) - 192a cosh(x) +--R + +--R 5 3 +--R - 260a cosh(x) + 112a cosh(x) + 2a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 15a cosh(x) - 20a cosh(x) - 18a cosh(x) - 76a cosh(x) +--R + +--R 4 2 +--R 121a cosh(x) + 40a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 4a cosh(x) - 18a cosh(x) + 8a cosh(x) - 4a cosh(x) +--R + +--R 5 3 +--R 36a cosh(x) - 26a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R a cosh(x) - 3a cosh(x) + 2a cosh(x) + 2a cosh(x) +--R + +--R 6 4 +--R - 3a cosh(x) + a cosh(x) +--R * +--R +---------+ +--R |a sinh(x) +--R |--------- +--R \| cosh(x) +--R + +--R 14 13 +--R - 4a sinh(x) - 36a cosh(x)sinh(x) +--R + +--R 2 12 +--R (- 136a cosh(x) - 12a)sinh(x) +--R + +--R 3 11 +--R (- 264a cosh(x) - 112a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 220a cosh(x) - 460a cosh(x) - 8a)sinh(x) +--R + +--R 5 3 9 +--R (132a cosh(x) - 1080a cosh(x) - 72a cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (528a cosh(x) - 1560a cosh(x) - 288a cosh(x) + 8a)sinh(x) +--R + +--R 7 5 3 +--R (528a cosh(x) - 1344a cosh(x) - 672a cosh(x) + 64a cosh(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R 132a cosh(x) - 504a cosh(x) - 1008a cosh(x) +--R + +--R 2 +--R 216a cosh(x) + 12a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R - 220a cosh(x) + 240a cosh(x) - 1008a cosh(x) +--R + +--R 3 +--R 400a cosh(x) + 76a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R - 264a cosh(x) + 420a cosh(x) - 672a cosh(x) +--R + +--R 4 2 +--R 440a cosh(x) + 136a cosh(x) + 4a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R - 136a cosh(x) + 240a cosh(x) - 288a cosh(x) +--R + +--R 5 3 +--R 288a cosh(x) + 72a cosh(x) + 16a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R - 36a cosh(x) + 68a cosh(x) - 72a cosh(x) +--R + +--R 6 4 2 +--R 104a cosh(x) - 20a cosh(x) - 44a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 4a cosh(x) + 8a cosh(x) - 8a cosh(x) + 16a cosh(x) +--R + +--R 5 3 +--R - 20a cosh(x) + 8a cosh(x) +--R * +--R sinh(x) +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R | 3 +--R \|a tanh(x) +--R + +--R 13 2 12 +--R - 4a cosh(x)sinh(x) - 32a cosh(x) sinh(x) +--R + +--R 3 11 +--R (- 104a cosh(x) - 20a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 160a cosh(x) - 104a cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (- 60a cosh(x) - 132a cosh(x) - 40a cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (192a cosh(x) + 288a cosh(x) - 80a cosh(x) )sinh(x) +--R + +--R 7 5 3 +--R (336a cosh(x) + 1176a cosh(x) + 320a cosh(x) - 40a cosh(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 2 +--R (192a cosh(x) + 1680a cosh(x) + 1360a cosh(x) + 64a cosh(x) ) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 60a cosh(x) + 1176a cosh(x) + 2000a cosh(x) + 600a cosh(x) +--R + +--R - 20a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 160a cosh(x) + 288a cosh(x) + 1360a cosh(x) + 960a cosh(x) +--R + +--R 2 +--R 112a cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 104a cosh(x) - 132a cosh(x) + 320a cosh(x) + 520a cosh(x) +--R + +--R 3 +--R 232a cosh(x) - 4a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 4 +--R - 32a cosh(x) - 104a cosh(x) - 80a cosh(x) + 48a cosh(x) +--R + +--R 2 +--R 40a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 4a cosh(x) - 20a cosh(x) - 40a cosh(x) - 56a cosh(x) +--R + +--R 5 3 +--R - 52a cosh(x) - 20a cosh(x) +--R * +--R sinh(x) +--R * +--R +---------+ +--R 3 +---+ |a sinh(x) +--R tanh(x) \|- a |--------- +--R \| cosh(x) +--R + +--R 2 13 2 2 12 +--R - 8a cosh(x)sinh(x) - 72a cosh(x) sinh(x) +--R + +--R 2 3 2 11 +--R (- 280a cosh(x) - 52a cosh(x))sinh(x) +--R + +--R 2 4 2 2 10 +--R (- 600a cosh(x) - 376a cosh(x) )sinh(x) +--R + +--R 2 5 2 3 2 9 +--R (- 720a cosh(x) - 1140a cosh(x) - 128a cosh(x))sinh(x) +--R + +--R 2 6 2 4 2 2 8 +--R (- 336a cosh(x) - 1824a cosh(x) - 664a cosh(x) )sinh(x) +--R + +--R 2 7 2 5 2 3 2 +--R (336a cosh(x) - 1512a cosh(x) - 1304a cosh(x) - 152a cosh(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 8 2 6 2 4 2 2 +--R (720a cosh(x) - 336a cosh(x) - 1048a cosh(x) - 448a cosh(x) ) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 9 2 7 2 5 2 3 +--R 600a cosh(x) + 504a cosh(x) + 40a cosh(x) - 280a cosh(x) +--R + +--R 2 +--R - 88a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 10 2 8 2 6 2 4 +--R 280a cosh(x) + 480a cosh(x) + 632a cosh(x) + 320a cosh(x) +--R + +--R 2 2 +--R - 48a cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 11 2 9 2 7 2 5 +--R 72a cosh(x) + 156a cosh(x) + 376a cosh(x) + 440a cosh(x) +--R + +--R 2 3 2 +--R 160a cosh(x) - 20a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 12 2 10 2 8 2 6 +--R 8a cosh(x) + 8a cosh(x) + 56a cosh(x) + 128a cosh(x) +--R + +--R 2 4 2 2 +--R 112a cosh(x) + 40a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 11 2 9 2 7 2 5 +--R - 4a cosh(x) - 8a cosh(x) - 8a cosh(x) - 8a cosh(x) +--R + +--R 2 3 +--R - 4a cosh(x) +--R * +--R sinh(x) +--R * +--R 3 +--R tanh(x) +--R / +--R 13 2 12 +--R 4cosh(x)sinh(x) + 32cosh(x) sinh(x) +--R + +--R 3 11 +--R (104cosh(x) + 20cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (160cosh(x) + 104cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (60cosh(x) + 132cosh(x) + 40cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 192cosh(x) - 288cosh(x) + 80cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (- 336cosh(x) - 1176cosh(x) - 320cosh(x) + 40cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (- 192cosh(x) - 1680cosh(x) - 1360cosh(x) - 64cosh(x) )sinh(x) +--R + +--R 9 7 5 3 +--R 60cosh(x) - 1176cosh(x) - 2000cosh(x) - 600cosh(x) +--R + +--R 20cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 160cosh(x) - 288cosh(x) - 1360cosh(x) - 960cosh(x) +--R + +--R 2 +--R - 112cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 104cosh(x) + 132cosh(x) - 320cosh(x) - 520cosh(x) +--R + +--R 3 +--R - 232cosh(x) + 4cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 4 +--R 32cosh(x) + 104cosh(x) + 80cosh(x) - 48cosh(x) +--R + +--R 2 +--R - 40cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 5 +--R 4cosh(x) + 20cosh(x) + 40cosh(x) + 56cosh(x) + 52cosh(x) +--R + +--R 3 +--R 20cosh(x) +--R * +--R sinh(x) +--R * +--R +---------+ +--R +---+ |a sinh(x) +--R \|- a |--------- +--R \| cosh(x) +--R + +--R 13 2 12 +--R 8a cosh(x)sinh(x) + 72a cosh(x) sinh(x) +--R + +--R 3 11 +--R (280a cosh(x) + 52a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (600a cosh(x) + 376a cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (720a cosh(x) + 1140a cosh(x) + 128a cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (336a cosh(x) + 1824a cosh(x) + 664a cosh(x) )sinh(x) +--R + +--R 7 5 3 +--R (- 336a cosh(x) + 1512a cosh(x) + 1304a cosh(x) + 152a cosh(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 2 +--R (- 720a cosh(x) + 336a cosh(x) + 1048a cosh(x) + 448a cosh(x) ) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 600a cosh(x) - 504a cosh(x) - 40a cosh(x) + 280a cosh(x) +--R + +--R 88a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 280a cosh(x) - 480a cosh(x) - 632a cosh(x) - 320a cosh(x) +--R + +--R 2 +--R 48a cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 72a cosh(x) - 156a cosh(x) - 376a cosh(x) - 440a cosh(x) +--R + +--R 3 +--R - 160a cosh(x) + 20a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 8a cosh(x) - 8a cosh(x) - 56a cosh(x) - 128a cosh(x) +--R + +--R 4 2 +--R - 112a cosh(x) - 40a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 4a cosh(x) + 8a cosh(x) + 8a cosh(x) + 8a cosh(x) +--R + +--R 3 +--R 4a cosh(x) +--R * +--R sinh(x) +--R * +--R +----------+ +--R | 3 +--R \|a tanh(x) +--R Type: Expression Integer +--E 480 + +--S 481 of 500 +t0296:= (a*tanh(x)^4)^(1/2) +--R +--R +--R +----------+ +--R | 4 +--R (324) \|a tanh(x) +--R Type: Expression Integer +--E 481 + +--S 482 of 500 +r0296:= coth(x)^2*(x-tanh(x))*(a*tanh(x)^4)^(1/2) +--R +--R +--R +----------+ +--R 2 2 | 4 +--R (325) (- coth(x) tanh(x) + x coth(x) )\|a tanh(x) +--R Type: Expression Integer +--E 482 + +--S 483 of 500 +a0296:= integrate(t0296,x) +--R +--R +--R 2 2 +-+ +--R (x sinh(x) + 2x cosh(x)sinh(x) + x cosh(x) + x + 2)\|a +--R (326) --------------------------------------------------------- +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 483 + +--S 484 of 500 +m0296:= a0296-r0296 +--R +--R +--R (327) +--R 2 2 2 +--R coth(x) sinh(x) + 2cosh(x)coth(x) sinh(x) +--R + +--R 2 2 +--R (cosh(x) + 1)coth(x) +--R * +--R tanh(x) +--R + +--R 2 2 2 +--R - x coth(x) sinh(x) - 2x cosh(x)coth(x) sinh(x) +--R + +--R 2 2 +--R (- x cosh(x) - x)coth(x) +--R * +--R +----------+ +--R | 4 +--R \|a tanh(x) +--R + +--R 2 2 +-+ +--R (x sinh(x) + 2x cosh(x)sinh(x) + x cosh(x) + x + 2)\|a +--R / +--R 2 2 +--R sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1 +--R Type: Expression Integer +--E 484 + +--S 485 of 500 +d0296:= D(m0296,x) +--R +--R +--R (328) +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) - 2)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) - 4cosh(x))sinh(x) + cosh(x) - 2cosh(x) + 1 +--R * +--R +----------+ +--R +-+ | 4 +--R \|a \|a tanh(x) +--R + +--R 2 4 2 3 +--R - 3a coth(x) sinh(x) - 12a cosh(x)coth(x) sinh(x) +--R + +--R 2 2 2 +--R (- 18a cosh(x) - 6a)coth(x) sinh(x) +--R + +--R 3 2 +--R (- 12a cosh(x) - 12a cosh(x))coth(x) sinh(x) +--R + +--R 4 2 2 +--R (- 3a cosh(x) - 6a cosh(x) - 3a)coth(x) +--R * +--R 6 +--R tanh(x) +--R + +--R 3 2 4 +--R (- 2a coth(x) + 2a x coth(x) + 2a coth(x))sinh(x) +--R + +--R 3 2 +--R (- 8a cosh(x)coth(x) + 8a x cosh(x)coth(x) + 8a cosh(x)coth(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 2 2 +--R (- 12a cosh(x) - 4a)coth(x) + (12a x cosh(x) + 4a x)coth(x) +--R + +--R 2 +--R (12a cosh(x) + 4a)coth(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 +--R (- 8a cosh(x) - 8a cosh(x))coth(x) +--R + +--R 3 2 +--R (8a x cosh(x) + 8a x cosh(x))coth(x) +--R + +--R 3 +--R (8a cosh(x) + 8a cosh(x))coth(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 +--R (- 2a cosh(x) - 4a cosh(x) - 2a)coth(x) +--R + +--R 4 2 2 +--R (2a x cosh(x) + 4a x cosh(x) + 2a x)coth(x) +--R + +--R 4 2 +--R (2a cosh(x) + 4a cosh(x) + 2a)coth(x) +--R * +--R 5 +--R tanh(x) +--R + +--R 3 2 4 +--R (2a x coth(x) + 2a coth(x) - 2a x coth(x))sinh(x) +--R + +--R 3 2 +--R (8a x cosh(x)coth(x) + 8a cosh(x)coth(x) - 8a x cosh(x)coth(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 2 2 +--R (12a x cosh(x) + 4a x)coth(x) + (12a cosh(x) + 4a)coth(x) +--R + +--R 2 +--R (- 12a x cosh(x) - 4a x)coth(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 +--R (8a x cosh(x) + 8a x cosh(x))coth(x) +--R + +--R 3 2 +--R (8a cosh(x) + 8a cosh(x))coth(x) +--R + +--R 3 +--R (- 8a x cosh(x) - 8a x cosh(x))coth(x) +--R * +--R sinh(x) +--R + +--R 4 2 3 +--R (2a x cosh(x) + 4a x cosh(x) + 2a x)coth(x) +--R + +--R 4 2 2 +--R (2a cosh(x) + 4a cosh(x) + 2a)coth(x) +--R + +--R 4 2 +--R (- 2a x cosh(x) - 4a x cosh(x) - 2a x)coth(x) +--R * +--R 4 +--R tanh(x) +--R + +--R 2 4 2 3 +--R - 2a x coth(x) sinh(x) - 8a x cosh(x)coth(x) sinh(x) +--R + +--R 2 2 2 +--R (- 12a x cosh(x) - 4a x)coth(x) sinh(x) +--R + +--R 3 2 +--R (- 8a x cosh(x) - 8a x cosh(x))coth(x) sinh(x) +--R + +--R 4 2 2 +--R (- 2a x cosh(x) - 4a x cosh(x) - 2a x)coth(x) +--R * +--R 3 +--R tanh(x) +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) + 2)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) + 4cosh(x))sinh(x) + cosh(x) + 2cosh(x) + 1 +--R * +--R +----------+ +--R | 4 +--R \|a tanh(x) +--R Type: Expression Integer +--E 485 + +--S 486 of 500 +t0297:= (a*tanh(x)^3)^(3/2) +--R +--R +--R +----------+ +--R 3 | 3 +--R (329) a tanh(x) \|a tanh(x) +--R Type: Expression Integer +--E 486 + +--S 487 of 500 +r0297:= -1/21*a*(a*tanh(x)^3)^(1/2)*(21*atan(tanh(x)^(1/2))-_ + 21*atanh(tanh(x)^(1/2))+14*tanh(x)^(3/2)+_ + 6*tanh(x)^(7/2))/tanh(x)^(3/2) +--R +--R +--R (330) +--R +----------+ +----------+ +--R | 3 +-------+ | 3 +-------+ +--R 21a\|a tanh(x) atanh(\|tanh(x) ) - 21a\|a tanh(x) atan(\|tanh(x) ) +--R + +--R +----------+ +--R 3 +-------+ | 3 +--R (- 6a tanh(x) - 14a tanh(x))\|tanh(x) \|a tanh(x) +--R / +--R +-------+ +--R 21tanh(x)\|tanh(x) +--R Type: Expression Integer +--E 487 + +--S 488 of 500 +a0297:= integrate(t0297,x) +--R +--R +--R (331) +--R 14 13 +--R 21a sinh(x) + 294a cosh(x)sinh(x) +--R + +--R 2 12 +--R (1911a cosh(x) + 168a)sinh(x) +--R + +--R 3 11 +--R (7644a cosh(x) + 2016a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (21021a cosh(x) + 11088a cosh(x) + 378a)sinh(x) +--R + +--R 5 3 9 +--R (42042a cosh(x) + 36960a cosh(x) + 3780a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (63063a cosh(x) + 83160a cosh(x) + 17010a cosh(x) + 84a) +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R 72072a cosh(x) + 133056a cosh(x) + 45360a cosh(x) +--R + +--R 672a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R 63063a cosh(x) + 155232a cosh(x) + 79380a cosh(x) +--R + +--R 2 +--R 2352a cosh(x) - 819a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R 42042a cosh(x) + 133056a cosh(x) + 95256a cosh(x) +--R + +--R 3 +--R 4704a cosh(x) - 4914a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R 21021a cosh(x) + 83160a cosh(x) + 79380a cosh(x) +--R + +--R 4 2 +--R 5880a cosh(x) - 12285a cosh(x) - 1260a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R 7644a cosh(x) + 36960a cosh(x) + 45360a cosh(x) +--R + +--R 5 3 +--R 4704a cosh(x) - 16380a cosh(x) - 5040a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R 1911a cosh(x) + 11088a cosh(x) + 17010a cosh(x) +--R + +--R 6 4 2 +--R 2352a cosh(x) - 12285a cosh(x) - 7560a cosh(x) - 756a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R 294a cosh(x) + 2016a cosh(x) + 3780a cosh(x) +--R + +--R 7 5 3 +--R 672a cosh(x) - 4914a cosh(x) - 5040a cosh(x) - 1512a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R 21a cosh(x) + 168a cosh(x) + 378a cosh(x) + 84a cosh(x) +--R + +--R 6 4 2 +--R - 819a cosh(x) - 1260a cosh(x) - 756a cosh(x) - 168a +--R * +--R +---------+ +--R +---+ |a sinh(x) +--R \|- a |--------- +--R \| cosh(x) +--R + +--R 2 14 2 13 2 2 12 +--R - 21a sinh(x) - 294a cosh(x)sinh(x) - 1911a cosh(x) sinh(x) +--R + +--R 2 3 11 2 4 2 10 +--R - 7644a cosh(x) sinh(x) + (- 21021a cosh(x) + 294a )sinh(x) +--R + +--R 2 5 2 9 +--R (- 42042a cosh(x) + 2940a cosh(x))sinh(x) +--R + +--R 2 6 2 2 2 8 +--R (- 63063a cosh(x) + 13230a cosh(x) + 588a )sinh(x) +--R + +--R 2 7 2 3 2 7 +--R (- 72072a cosh(x) + 35280a cosh(x) + 4704a cosh(x))sinh(x) +--R + +--R 2 8 2 4 2 2 2 +--R (- 63063a cosh(x) + 61740a cosh(x) + 16464a cosh(x) + 147a ) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 9 2 5 2 3 +--R - 42042a cosh(x) + 74088a cosh(x) + 32928a cosh(x) +--R + +--R 2 +--R 882a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 10 2 6 2 4 +--R - 21021a cosh(x) + 61740a cosh(x) + 41160a cosh(x) +--R + +--R 2 2 2 +--R 2205a cosh(x) - 588a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 11 2 7 2 5 +--R - 7644a cosh(x) + 35280a cosh(x) + 32928a cosh(x) +--R + +--R 2 3 2 +--R 2940a cosh(x) - 2352a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 12 2 8 2 6 +--R - 1911a cosh(x) + 13230a cosh(x) + 16464a cosh(x) +--R + +--R 2 4 2 2 2 +--R 2205a cosh(x) - 3528a cosh(x) - 588a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 13 2 9 2 7 +--R - 294a cosh(x) + 2940a cosh(x) + 4704a cosh(x) +--R + +--R 2 5 2 3 2 +--R 882a cosh(x) - 2352a cosh(x) - 1176a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 14 2 10 2 8 2 6 +--R - 21a cosh(x) + 294a cosh(x) + 588a cosh(x) + 147a cosh(x) +--R + +--R 2 4 2 2 2 +--R - 588a cosh(x) - 588a cosh(x) - 168a +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R 14 13 +--R - 42a sinh(x) - 588a cosh(x)sinh(x) +--R + +--R 2 12 +--R (- 3822a cosh(x) - 336a)sinh(x) +--R + +--R 3 11 +--R (- 15288a cosh(x) - 4032a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 42042a cosh(x) - 22176a cosh(x) - 756a)sinh(x) +--R + +--R 5 3 9 +--R (- 84084a cosh(x) - 73920a cosh(x) - 7560a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R - 126126a cosh(x) - 166320a cosh(x) - 34020a cosh(x) +--R + +--R - 168a +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R - 144144a cosh(x) - 266112a cosh(x) - 90720a cosh(x) +--R + +--R - 1344a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R - 126126a cosh(x) - 310464a cosh(x) - 158760a cosh(x) +--R + +--R 2 +--R - 4704a cosh(x) + 1638a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R - 84084a cosh(x) - 266112a cosh(x) - 190512a cosh(x) +--R + +--R 3 +--R - 9408a cosh(x) + 9828a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R - 42042a cosh(x) - 166320a cosh(x) - 158760a cosh(x) +--R + +--R 4 2 +--R - 11760a cosh(x) + 24570a cosh(x) + 2520a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R - 15288a cosh(x) - 73920a cosh(x) - 90720a cosh(x) +--R + +--R 5 3 +--R - 9408a cosh(x) + 32760a cosh(x) + 10080a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R - 3822a cosh(x) - 22176a cosh(x) - 34020a cosh(x) +--R + +--R 6 4 2 +--R - 4704a cosh(x) + 24570a cosh(x) + 15120a cosh(x) + 1512a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R - 588a cosh(x) - 4032a cosh(x) - 7560a cosh(x) +--R + +--R 7 5 3 +--R - 1344a cosh(x) + 9828a cosh(x) + 10080a cosh(x) +--R + +--R 3024a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R - 42a cosh(x) - 336a cosh(x) - 756a cosh(x) - 168a cosh(x) +--R + +--R 6 4 2 +--R 1638a cosh(x) + 2520a cosh(x) + 1512a cosh(x) + 336a +--R * +--R +---------+ +--R +---+ |a sinh(x) +--R \|- a |--------- +--R \| cosh(x) +--R + +--R 2 14 2 13 2 2 12 +--R 42a sinh(x) + 588a cosh(x)sinh(x) + 3822a cosh(x) sinh(x) +--R + +--R 2 3 11 2 4 2 10 +--R 15288a cosh(x) sinh(x) + (42042a cosh(x) - 588a )sinh(x) +--R + +--R 2 5 2 9 +--R (84084a cosh(x) - 5880a cosh(x))sinh(x) +--R + +--R 2 6 2 2 2 8 +--R (126126a cosh(x) - 26460a cosh(x) - 1176a )sinh(x) +--R + +--R 2 7 2 3 2 7 +--R (144144a cosh(x) - 70560a cosh(x) - 9408a cosh(x))sinh(x) +--R + +--R 2 8 2 4 2 2 2 +--R (126126a cosh(x) - 123480a cosh(x) - 32928a cosh(x) - 294a ) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 9 2 5 2 3 +--R 84084a cosh(x) - 148176a cosh(x) - 65856a cosh(x) +--R + +--R 2 +--R - 1764a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 10 2 6 2 4 +--R 42042a cosh(x) - 123480a cosh(x) - 82320a cosh(x) +--R + +--R 2 2 2 +--R - 4410a cosh(x) + 1176a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 11 2 7 2 5 +--R 15288a cosh(x) - 70560a cosh(x) - 65856a cosh(x) +--R + +--R 2 3 2 +--R - 5880a cosh(x) + 4704a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 12 2 8 2 6 +--R 3822a cosh(x) - 26460a cosh(x) - 32928a cosh(x) +--R + +--R 2 4 2 2 2 +--R - 4410a cosh(x) + 7056a cosh(x) + 1176a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 13 2 9 2 7 2 5 +--R 588a cosh(x) - 5880a cosh(x) - 9408a cosh(x) - 1764a cosh(x) +--R + +--R 2 3 2 +--R 4704a cosh(x) + 2352a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 14 2 10 2 8 2 6 +--R 42a cosh(x) - 588a cosh(x) - 1176a cosh(x) - 294a cosh(x) +--R + +--R 2 4 2 2 2 +--R 1176a cosh(x) + 1176a cosh(x) + 336a +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R 12 11 +--R 448a sinh(x) + 5376a cosh(x)sinh(x) +--R + +--R 2 10 +--R (29568a cosh(x) + 1008a)sinh(x) +--R + +--R 3 9 +--R (98560a cosh(x) + 10080a cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (221760a cosh(x) + 45360a cosh(x) )sinh(x) +--R + +--R 5 3 7 +--R (354816a cosh(x) + 120960a cosh(x) )sinh(x) +--R + +--R 6 4 6 +--R (413952a cosh(x) + 211680a cosh(x) - 1904a)sinh(x) +--R + +--R 7 5 5 +--R (354816a cosh(x) + 254016a cosh(x) - 11424a cosh(x))sinh(x) +--R + +--R 8 6 2 +--R (221760a cosh(x) + 211680a cosh(x) - 28560a cosh(x) - 2688a) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 3 +--R 98560a cosh(x) + 120960a cosh(x) - 38080a cosh(x) +--R + +--R - 10752a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 4 +--R 29568a cosh(x) + 45360a cosh(x) - 28560a cosh(x) +--R + +--R 2 +--R - 16128a cosh(x) - 1344a +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 5 +--R 5376a cosh(x) + 10080a cosh(x) - 11424a cosh(x) +--R + +--R 3 +--R - 10752a cosh(x) - 2688a cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 6 4 +--R 448a cosh(x) + 1008a cosh(x) - 1904a cosh(x) - 2688a cosh(x) +--R + +--R 2 +--R - 1344a cosh(x) +--R * +--R +---------+ +--R +---+ |a sinh(x) +--R \|- a |--------- +--R \| cosh(x) +--R + +--R 2 14 2 13 +--R - 80a sinh(x) - 1120a cosh(x)sinh(x) +--R + +--R 2 2 2 12 +--R (- 7280a cosh(x) - 112a )sinh(x) +--R + +--R 2 3 2 11 +--R (- 29120a cosh(x) - 1344a cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 10 +--R (- 80080a cosh(x) - 7392a cosh(x) + 896a )sinh(x) +--R + +--R 2 5 2 3 2 9 +--R (- 160160a cosh(x) - 24640a cosh(x) + 8960a cosh(x))sinh(x) +--R + +--R 2 6 2 4 2 2 2 8 +--R (- 240240a cosh(x) - 55440a cosh(x) + 40320a cosh(x) + 1232a )sinh(x) +--R + +--R 2 7 2 5 2 3 +--R - 274560a cosh(x) - 88704a cosh(x) + 107520a cosh(x) +--R + +--R 2 +--R 9856a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 8 2 6 2 4 +--R - 240240a cosh(x) - 103488a cosh(x) + 188160a cosh(x) +--R + +--R 2 2 2 +--R 34496a cosh(x) + 112a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 9 2 7 2 5 +--R - 160160a cosh(x) - 88704a cosh(x) + 225792a cosh(x) +--R + +--R 2 3 2 +--R 68992a cosh(x) + 672a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 10 2 8 2 6 +--R - 80080a cosh(x) - 55440a cosh(x) + 188160a cosh(x) +--R + +--R 2 4 2 2 2 +--R 86240a cosh(x) + 1680a cosh(x) - 1344a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 11 2 9 2 7 +--R - 29120a cosh(x) - 24640a cosh(x) + 107520a cosh(x) +--R + +--R 2 5 2 3 2 +--R 68992a cosh(x) + 2240a cosh(x) - 5376a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 12 2 10 2 8 +--R - 7280a cosh(x) - 7392a cosh(x) + 40320a cosh(x) +--R + +--R 2 6 2 4 2 2 2 +--R 34496a cosh(x) + 1680a cosh(x) - 8064a cosh(x) - 1344a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 13 2 11 2 9 2 7 +--R - 1120a cosh(x) - 1344a cosh(x) + 8960a cosh(x) + 9856a cosh(x) +--R + +--R 2 5 2 3 2 +--R 672a cosh(x) - 5376a cosh(x) - 2688a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 14 2 12 2 10 2 8 +--R - 80a cosh(x) - 112a cosh(x) + 896a cosh(x) + 1232a cosh(x) +--R + +--R 2 6 2 4 2 2 +--R 112a cosh(x) - 1344a cosh(x) - 1344a cosh(x) +--R / +--R 14 13 2 12 +--R 42sinh(x) + 588cosh(x)sinh(x) + (3822cosh(x) + 336)sinh(x) +--R + +--R 3 11 +--R (15288cosh(x) + 4032cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (42042cosh(x) + 22176cosh(x) + 756)sinh(x) +--R + +--R 5 3 9 +--R (84084cosh(x) + 73920cosh(x) + 7560cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (126126cosh(x) + 166320cosh(x) + 34020cosh(x) + 168)sinh(x) +--R + +--R 7 5 3 +--R (144144cosh(x) + 266112cosh(x) + 90720cosh(x) + 1344cosh(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 2 +--R 126126cosh(x) + 310464cosh(x) + 158760cosh(x) + 4704cosh(x) +--R + +--R - 1638 +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 84084cosh(x) + 266112cosh(x) + 190512cosh(x) + 9408cosh(x) +--R + +--R - 9828cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 42042cosh(x) + 166320cosh(x) + 158760cosh(x) + 11760cosh(x) +--R + +--R 2 +--R - 24570cosh(x) - 2520 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 15288cosh(x) + 73920cosh(x) + 90720cosh(x) + 9408cosh(x) +--R + +--R 3 +--R - 32760cosh(x) - 10080cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 3822cosh(x) + 22176cosh(x) + 34020cosh(x) + 4704cosh(x) +--R + +--R 4 2 +--R - 24570cosh(x) - 15120cosh(x) - 1512 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 588cosh(x) + 4032cosh(x) + 7560cosh(x) + 1344cosh(x) +--R + +--R 5 3 +--R - 9828cosh(x) - 10080cosh(x) - 3024cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R 42cosh(x) + 336cosh(x) + 756cosh(x) + 168cosh(x) +--R + +--R 6 4 2 +--R - 1638cosh(x) - 2520cosh(x) - 1512cosh(x) - 336 +--R * +--R +---------+ +--R |a sinh(x) +--R |--------- +--R \| cosh(x) +--R + +--R 14 13 2 12 +--R 42sinh(x) + 588cosh(x)sinh(x) + 3822cosh(x) sinh(x) +--R + +--R 3 11 4 10 +--R 15288cosh(x) sinh(x) + (42042cosh(x) - 588)sinh(x) +--R + +--R 5 9 +--R (84084cosh(x) - 5880cosh(x))sinh(x) +--R + +--R 6 2 8 +--R (126126cosh(x) - 26460cosh(x) - 1176)sinh(x) +--R + +--R 7 3 7 +--R (144144cosh(x) - 70560cosh(x) - 9408cosh(x))sinh(x) +--R + +--R 8 4 2 6 +--R (126126cosh(x) - 123480cosh(x) - 32928cosh(x) - 294)sinh(x) +--R + +--R 9 5 3 +--R (84084cosh(x) - 148176cosh(x) - 65856cosh(x) - 1764cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 4 2 +--R 42042cosh(x) - 123480cosh(x) - 82320cosh(x) - 4410cosh(x) +--R + +--R 1176 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 5 3 +--R 15288cosh(x) - 70560cosh(x) - 65856cosh(x) - 5880cosh(x) +--R + +--R 4704cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 6 4 +--R 3822cosh(x) - 26460cosh(x) - 32928cosh(x) - 4410cosh(x) +--R + +--R 2 +--R 7056cosh(x) + 1176 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 7 5 +--R 588cosh(x) - 5880cosh(x) - 9408cosh(x) - 1764cosh(x) +--R + +--R 3 +--R 4704cosh(x) + 2352cosh(x) +--R * +--R sinh(x) +--R + +--R 14 10 8 6 +--R 42cosh(x) - 588cosh(x) - 1176cosh(x) - 294cosh(x) +--R + +--R 4 2 +--R 1176cosh(x) + 1176cosh(x) + 336 +--R * +--R +---+ +--R \|- a +--R Type: Union(Expression Integer,...) +--E 488 + +--S 489 of 500 +m0297:= a0297-r0297 +--R +--R +--R (332) +--R 14 13 +--R 21a sinh(x) + 294a cosh(x)sinh(x) +--R + +--R 2 12 +--R (1911a cosh(x) + 168a)sinh(x) +--R + +--R 3 11 +--R (7644a cosh(x) + 2016a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (21021a cosh(x) + 11088a cosh(x) + 378a)sinh(x) +--R + +--R 5 3 9 +--R (42042a cosh(x) + 36960a cosh(x) + 3780a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (63063a cosh(x) + 83160a cosh(x) + 17010a cosh(x) + 84a) +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R 72072a cosh(x) + 133056a cosh(x) + 45360a cosh(x) +--R + +--R 672a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R 63063a cosh(x) + 155232a cosh(x) + 79380a cosh(x) +--R + +--R 2 +--R 2352a cosh(x) - 819a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R 42042a cosh(x) + 133056a cosh(x) + 95256a cosh(x) +--R + +--R 3 +--R 4704a cosh(x) - 4914a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R 21021a cosh(x) + 83160a cosh(x) + 79380a cosh(x) +--R + +--R 4 2 +--R 5880a cosh(x) - 12285a cosh(x) - 1260a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R 7644a cosh(x) + 36960a cosh(x) + 45360a cosh(x) +--R + +--R 5 3 +--R 4704a cosh(x) - 16380a cosh(x) - 5040a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R 1911a cosh(x) + 11088a cosh(x) + 17010a cosh(x) +--R + +--R 6 4 2 +--R 2352a cosh(x) - 12285a cosh(x) - 7560a cosh(x) - 756a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R 294a cosh(x) + 2016a cosh(x) + 3780a cosh(x) +--R + +--R 7 5 3 +--R 672a cosh(x) - 4914a cosh(x) - 5040a cosh(x) - 1512a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R 21a cosh(x) + 168a cosh(x) + 378a cosh(x) + 84a cosh(x) +--R + +--R 6 4 2 +--R - 819a cosh(x) - 1260a cosh(x) - 756a cosh(x) - 168a +--R * +--R +---------+ +--R +---+ |a sinh(x) +--R tanh(x)\|- a |--------- +--R \| cosh(x) +--R + +--R 2 14 2 13 2 2 12 +--R - 21a sinh(x) - 294a cosh(x)sinh(x) - 1911a cosh(x) sinh(x) +--R + +--R 2 3 11 2 4 2 10 +--R - 7644a cosh(x) sinh(x) + (- 21021a cosh(x) + 294a )sinh(x) +--R + +--R 2 5 2 9 +--R (- 42042a cosh(x) + 2940a cosh(x))sinh(x) +--R + +--R 2 6 2 2 2 8 +--R (- 63063a cosh(x) + 13230a cosh(x) + 588a )sinh(x) +--R + +--R 2 7 2 3 2 7 +--R (- 72072a cosh(x) + 35280a cosh(x) + 4704a cosh(x))sinh(x) +--R + +--R 2 8 2 4 2 2 2 +--R (- 63063a cosh(x) + 61740a cosh(x) + 16464a cosh(x) + 147a ) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 9 2 5 2 3 +--R - 42042a cosh(x) + 74088a cosh(x) + 32928a cosh(x) +--R + +--R 2 +--R 882a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 10 2 6 2 4 +--R - 21021a cosh(x) + 61740a cosh(x) + 41160a cosh(x) +--R + +--R 2 2 2 +--R 2205a cosh(x) - 588a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 11 2 7 2 5 +--R - 7644a cosh(x) + 35280a cosh(x) + 32928a cosh(x) +--R + +--R 2 3 2 +--R 2940a cosh(x) - 2352a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 12 2 8 2 6 +--R - 1911a cosh(x) + 13230a cosh(x) + 16464a cosh(x) +--R + +--R 2 4 2 2 2 +--R 2205a cosh(x) - 3528a cosh(x) - 588a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 13 2 9 2 7 +--R - 294a cosh(x) + 2940a cosh(x) + 4704a cosh(x) +--R + +--R 2 5 2 3 2 +--R 882a cosh(x) - 2352a cosh(x) - 1176a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 14 2 10 2 8 2 6 +--R - 21a cosh(x) + 294a cosh(x) + 588a cosh(x) + 147a cosh(x) +--R + +--R 2 4 2 2 2 +--R - 588a cosh(x) - 588a cosh(x) - 168a +--R * +--R tanh(x) +--R * +--R +-------+ +--R \|tanh(x) +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R 14 13 +--R - 42a sinh(x) - 588a cosh(x)sinh(x) +--R + +--R 2 12 +--R (- 3822a cosh(x) - 336a)sinh(x) +--R + +--R 3 11 +--R (- 15288a cosh(x) - 4032a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 42042a cosh(x) - 22176a cosh(x) - 756a)sinh(x) +--R + +--R 5 3 9 +--R (- 84084a cosh(x) - 73920a cosh(x) - 7560a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R - 126126a cosh(x) - 166320a cosh(x) - 34020a cosh(x) +--R + +--R - 168a +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R - 144144a cosh(x) - 266112a cosh(x) - 90720a cosh(x) +--R + +--R - 1344a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R - 126126a cosh(x) - 310464a cosh(x) - 158760a cosh(x) +--R + +--R 2 +--R - 4704a cosh(x) + 1638a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R - 84084a cosh(x) - 266112a cosh(x) - 190512a cosh(x) +--R + +--R 3 +--R - 9408a cosh(x) + 9828a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R - 42042a cosh(x) - 166320a cosh(x) - 158760a cosh(x) +--R + +--R 4 2 +--R - 11760a cosh(x) + 24570a cosh(x) + 2520a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R - 15288a cosh(x) - 73920a cosh(x) - 90720a cosh(x) +--R + +--R 5 3 +--R - 9408a cosh(x) + 32760a cosh(x) + 10080a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R - 3822a cosh(x) - 22176a cosh(x) - 34020a cosh(x) +--R + +--R 6 4 2 +--R - 4704a cosh(x) + 24570a cosh(x) + 15120a cosh(x) + 1512a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R - 588a cosh(x) - 4032a cosh(x) - 7560a cosh(x) +--R + +--R 7 5 3 +--R - 1344a cosh(x) + 9828a cosh(x) + 10080a cosh(x) +--R + +--R 3024a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R - 42a cosh(x) - 336a cosh(x) - 756a cosh(x) - 168a cosh(x) +--R + +--R 6 4 2 +--R 1638a cosh(x) + 2520a cosh(x) + 1512a cosh(x) + 336a +--R * +--R +---------+ +--R |a sinh(x) +--R |--------- +--R \| cosh(x) +--R + +--R 14 13 2 12 +--R - 42a sinh(x) - 588a cosh(x)sinh(x) - 3822a cosh(x) sinh(x) +--R + +--R 3 11 4 10 +--R - 15288a cosh(x) sinh(x) + (- 42042a cosh(x) + 588a)sinh(x) +--R + +--R 5 9 +--R (- 84084a cosh(x) + 5880a cosh(x))sinh(x) +--R + +--R 6 2 8 +--R (- 126126a cosh(x) + 26460a cosh(x) + 1176a)sinh(x) +--R + +--R 7 3 7 +--R (- 144144a cosh(x) + 70560a cosh(x) + 9408a cosh(x))sinh(x) +--R + +--R 8 4 2 +--R - 126126a cosh(x) + 123480a cosh(x) + 32928a cosh(x) +--R + +--R 294a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 5 3 +--R - 84084a cosh(x) + 148176a cosh(x) + 65856a cosh(x) +--R + +--R 1764a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 4 +--R - 42042a cosh(x) + 123480a cosh(x) + 82320a cosh(x) +--R + +--R 2 +--R 4410a cosh(x) - 1176a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 5 +--R - 15288a cosh(x) + 70560a cosh(x) + 65856a cosh(x) +--R + +--R 3 +--R 5880a cosh(x) - 4704a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 6 +--R - 3822a cosh(x) + 26460a cosh(x) + 32928a cosh(x) +--R + +--R 4 2 +--R 4410a cosh(x) - 7056a cosh(x) - 1176a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 7 +--R - 588a cosh(x) + 5880a cosh(x) + 9408a cosh(x) +--R + +--R 5 3 +--R 1764a cosh(x) - 4704a cosh(x) - 2352a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 10 8 6 +--R - 42a cosh(x) + 588a cosh(x) + 1176a cosh(x) + 294a cosh(x) +--R + +--R 4 2 +--R - 1176a cosh(x) - 1176a cosh(x) - 336a +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R | 3 +-------+ +--R \|a tanh(x) atanh(\|tanh(x) ) +--R + +--R 14 13 +--R 42a sinh(x) + 588a cosh(x)sinh(x) +--R + +--R 2 12 +--R (3822a cosh(x) + 336a)sinh(x) +--R + +--R 3 11 +--R (15288a cosh(x) + 4032a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (42042a cosh(x) + 22176a cosh(x) + 756a)sinh(x) +--R + +--R 5 3 9 +--R (84084a cosh(x) + 73920a cosh(x) + 7560a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (126126a cosh(x) + 166320a cosh(x) + 34020a cosh(x) + 168a) +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R 144144a cosh(x) + 266112a cosh(x) + 90720a cosh(x) +--R + +--R 1344a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R 126126a cosh(x) + 310464a cosh(x) + 158760a cosh(x) +--R + +--R 2 +--R 4704a cosh(x) - 1638a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R 84084a cosh(x) + 266112a cosh(x) + 190512a cosh(x) +--R + +--R 3 +--R 9408a cosh(x) - 9828a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R 42042a cosh(x) + 166320a cosh(x) + 158760a cosh(x) +--R + +--R 4 2 +--R 11760a cosh(x) - 24570a cosh(x) - 2520a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R 15288a cosh(x) + 73920a cosh(x) + 90720a cosh(x) +--R + +--R 5 3 +--R 9408a cosh(x) - 32760a cosh(x) - 10080a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R 3822a cosh(x) + 22176a cosh(x) + 34020a cosh(x) +--R + +--R 6 4 2 +--R 4704a cosh(x) - 24570a cosh(x) - 15120a cosh(x) - 1512a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R 588a cosh(x) + 4032a cosh(x) + 7560a cosh(x) +--R + +--R 7 5 3 +--R 1344a cosh(x) - 9828a cosh(x) - 10080a cosh(x) +--R + +--R - 3024a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R 42a cosh(x) + 336a cosh(x) + 756a cosh(x) + 168a cosh(x) +--R + +--R 6 4 2 +--R - 1638a cosh(x) - 2520a cosh(x) - 1512a cosh(x) - 336a +--R * +--R +---------+ +--R |a sinh(x) +--R |--------- +--R \| cosh(x) +--R + +--R 14 13 2 12 +--R 42a sinh(x) + 588a cosh(x)sinh(x) + 3822a cosh(x) sinh(x) +--R + +--R 3 11 4 10 +--R 15288a cosh(x) sinh(x) + (42042a cosh(x) - 588a)sinh(x) +--R + +--R 5 9 +--R (84084a cosh(x) - 5880a cosh(x))sinh(x) +--R + +--R 6 2 8 +--R (126126a cosh(x) - 26460a cosh(x) - 1176a)sinh(x) +--R + +--R 7 3 7 +--R (144144a cosh(x) - 70560a cosh(x) - 9408a cosh(x))sinh(x) +--R + +--R 8 4 2 +--R (126126a cosh(x) - 123480a cosh(x) - 32928a cosh(x) - 294a) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 5 3 +--R 84084a cosh(x) - 148176a cosh(x) - 65856a cosh(x) +--R + +--R - 1764a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 4 +--R 42042a cosh(x) - 123480a cosh(x) - 82320a cosh(x) +--R + +--R 2 +--R - 4410a cosh(x) + 1176a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 5 +--R 15288a cosh(x) - 70560a cosh(x) - 65856a cosh(x) +--R + +--R 3 +--R - 5880a cosh(x) + 4704a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 6 +--R 3822a cosh(x) - 26460a cosh(x) - 32928a cosh(x) +--R + +--R 4 2 +--R - 4410a cosh(x) + 7056a cosh(x) + 1176a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 7 +--R 588a cosh(x) - 5880a cosh(x) - 9408a cosh(x) +--R + +--R 5 3 +--R - 1764a cosh(x) + 4704a cosh(x) + 2352a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 10 8 6 +--R 42a cosh(x) - 588a cosh(x) - 1176a cosh(x) - 294a cosh(x) +--R + +--R 4 2 +--R 1176a cosh(x) + 1176a cosh(x) + 336a +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R | 3 +-------+ +--R \|a tanh(x) atan(\|tanh(x) ) +--R + +--R 14 13 +--R - 42a sinh(x) - 588a cosh(x)sinh(x) +--R + +--R 2 12 +--R (- 3822a cosh(x) - 336a)sinh(x) +--R + +--R 3 11 +--R (- 15288a cosh(x) - 4032a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 42042a cosh(x) - 22176a cosh(x) - 756a)sinh(x) +--R + +--R 5 3 9 +--R (- 84084a cosh(x) - 73920a cosh(x) - 7560a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R - 126126a cosh(x) - 166320a cosh(x) - 34020a cosh(x) +--R + +--R - 168a +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R - 144144a cosh(x) - 266112a cosh(x) - 90720a cosh(x) +--R + +--R - 1344a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R - 126126a cosh(x) - 310464a cosh(x) - 158760a cosh(x) +--R + +--R 2 +--R - 4704a cosh(x) + 1638a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R - 84084a cosh(x) - 266112a cosh(x) - 190512a cosh(x) +--R + +--R 3 +--R - 9408a cosh(x) + 9828a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R - 42042a cosh(x) - 166320a cosh(x) - 158760a cosh(x) +--R + +--R 4 2 +--R - 11760a cosh(x) + 24570a cosh(x) + 2520a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R - 15288a cosh(x) - 73920a cosh(x) - 90720a cosh(x) +--R + +--R 5 3 +--R - 9408a cosh(x) + 32760a cosh(x) + 10080a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R - 3822a cosh(x) - 22176a cosh(x) - 34020a cosh(x) +--R + +--R 6 4 2 +--R - 4704a cosh(x) + 24570a cosh(x) + 15120a cosh(x) + 1512a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R - 588a cosh(x) - 4032a cosh(x) - 7560a cosh(x) +--R + +--R 7 5 3 +--R - 1344a cosh(x) + 9828a cosh(x) + 10080a cosh(x) +--R + +--R 3024a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R - 42a cosh(x) - 336a cosh(x) - 756a cosh(x) - 168a cosh(x) +--R + +--R 6 4 2 +--R 1638a cosh(x) + 2520a cosh(x) + 1512a cosh(x) + 336a +--R * +--R +---------+ +--R +---+ |a sinh(x) +--R tanh(x)\|- a |--------- +--R \| cosh(x) +--R + +--R 2 14 2 13 2 2 12 +--R 42a sinh(x) + 588a cosh(x)sinh(x) + 3822a cosh(x) sinh(x) +--R + +--R 2 3 11 2 4 2 10 +--R 15288a cosh(x) sinh(x) + (42042a cosh(x) - 588a )sinh(x) +--R + +--R 2 5 2 9 +--R (84084a cosh(x) - 5880a cosh(x))sinh(x) +--R + +--R 2 6 2 2 2 8 +--R (126126a cosh(x) - 26460a cosh(x) - 1176a )sinh(x) +--R + +--R 2 7 2 3 2 7 +--R (144144a cosh(x) - 70560a cosh(x) - 9408a cosh(x))sinh(x) +--R + +--R 2 8 2 4 2 2 2 +--R (126126a cosh(x) - 123480a cosh(x) - 32928a cosh(x) - 294a ) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 9 2 5 2 3 +--R 84084a cosh(x) - 148176a cosh(x) - 65856a cosh(x) +--R + +--R 2 +--R - 1764a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 10 2 6 2 4 +--R 42042a cosh(x) - 123480a cosh(x) - 82320a cosh(x) +--R + +--R 2 2 2 +--R - 4410a cosh(x) + 1176a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 11 2 7 2 5 +--R 15288a cosh(x) - 70560a cosh(x) - 65856a cosh(x) +--R + +--R 2 3 2 +--R - 5880a cosh(x) + 4704a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 12 2 8 2 6 +--R 3822a cosh(x) - 26460a cosh(x) - 32928a cosh(x) +--R + +--R 2 4 2 2 2 +--R - 4410a cosh(x) + 7056a cosh(x) + 1176a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 13 2 9 2 7 +--R 588a cosh(x) - 5880a cosh(x) - 9408a cosh(x) +--R + +--R 2 5 2 3 2 +--R - 1764a cosh(x) + 4704a cosh(x) + 2352a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 14 2 10 2 8 2 6 +--R 42a cosh(x) - 588a cosh(x) - 1176a cosh(x) - 294a cosh(x) +--R + +--R 2 4 2 2 2 +--R 1176a cosh(x) + 1176a cosh(x) + 336a +--R * +--R tanh(x) +--R * +--R +-------+ +--R \|tanh(x) +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R 14 13 +--R 12a sinh(x) + 168a cosh(x)sinh(x) +--R + +--R 2 12 +--R (1092a cosh(x) + 96a)sinh(x) +--R + +--R 3 11 +--R (4368a cosh(x) + 1152a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (12012a cosh(x) + 6336a cosh(x) + 216a)sinh(x) +--R + +--R 5 3 9 +--R (24024a cosh(x) + 21120a cosh(x) + 2160a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (36036a cosh(x) + 47520a cosh(x) + 9720a cosh(x) + 48a) +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R 41184a cosh(x) + 76032a cosh(x) + 25920a cosh(x) +--R + +--R 384a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R 36036a cosh(x) + 88704a cosh(x) + 45360a cosh(x) +--R + +--R 2 +--R 1344a cosh(x) - 468a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R 24024a cosh(x) + 76032a cosh(x) + 54432a cosh(x) +--R + +--R 3 +--R 2688a cosh(x) - 2808a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R 12012a cosh(x) + 47520a cosh(x) + 45360a cosh(x) +--R + +--R 4 2 +--R 3360a cosh(x) - 7020a cosh(x) - 720a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R 4368a cosh(x) + 21120a cosh(x) + 25920a cosh(x) +--R + +--R 5 3 +--R 2688a cosh(x) - 9360a cosh(x) - 2880a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R 1092a cosh(x) + 6336a cosh(x) + 9720a cosh(x) +--R + +--R 6 4 2 +--R 1344a cosh(x) - 7020a cosh(x) - 4320a cosh(x) - 432a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R 168a cosh(x) + 1152a cosh(x) + 2160a cosh(x) +--R + +--R 7 5 3 +--R 384a cosh(x) - 2808a cosh(x) - 2880a cosh(x) +--R + +--R - 864a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R 12a cosh(x) + 96a cosh(x) + 216a cosh(x) + 48a cosh(x) +--R + +--R 6 4 2 +--R - 468a cosh(x) - 720a cosh(x) - 432a cosh(x) - 96a +--R * +--R 3 +--R tanh(x) +--R + +--R 14 13 +--R 28a sinh(x) + 392a cosh(x)sinh(x) +--R + +--R 2 12 +--R (2548a cosh(x) + 224a)sinh(x) +--R + +--R 3 11 +--R (10192a cosh(x) + 2688a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (28028a cosh(x) + 14784a cosh(x) + 504a)sinh(x) +--R + +--R 5 3 9 +--R (56056a cosh(x) + 49280a cosh(x) + 5040a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R 84084a cosh(x) + 110880a cosh(x) + 22680a cosh(x) +--R + +--R 112a +--R * +--R 8 +--R sinh(x) +--R + +--R 7 5 3 +--R 96096a cosh(x) + 177408a cosh(x) + 60480a cosh(x) +--R + +--R 896a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 +--R 84084a cosh(x) + 206976a cosh(x) + 105840a cosh(x) +--R + +--R 2 +--R 3136a cosh(x) - 1092a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 +--R 56056a cosh(x) + 177408a cosh(x) + 127008a cosh(x) +--R + +--R 3 +--R 6272a cosh(x) - 6552a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R 28028a cosh(x) + 110880a cosh(x) + 105840a cosh(x) +--R + +--R 4 2 +--R 7840a cosh(x) - 16380a cosh(x) - 1680a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 +--R 10192a cosh(x) + 49280a cosh(x) + 60480a cosh(x) +--R + +--R 5 3 +--R 6272a cosh(x) - 21840a cosh(x) - 6720a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 +--R 2548a cosh(x) + 14784a cosh(x) + 22680a cosh(x) +--R + +--R 6 4 2 +--R 3136a cosh(x) - 16380a cosh(x) - 10080a cosh(x) - 1008a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R 392a cosh(x) + 2688a cosh(x) + 5040a cosh(x) +--R + +--R 7 5 3 +--R 896a cosh(x) - 6552a cosh(x) - 6720a cosh(x) +--R + +--R - 2016a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 +--R 28a cosh(x) + 224a cosh(x) + 504a cosh(x) +--R + +--R 8 6 4 +--R 112a cosh(x) - 1092a cosh(x) - 1680a cosh(x) +--R + +--R 2 +--R - 1008a cosh(x) - 224a +--R * +--R tanh(x) +--R * +--R +---------+ +--R |a sinh(x) +--R |--------- +--R \| cosh(x) +--R + +--R 14 13 +--R 12a sinh(x) + 168a cosh(x)sinh(x) +--R + +--R 2 12 3 11 +--R 1092a cosh(x) sinh(x) + 4368a cosh(x) sinh(x) +--R + +--R 4 10 +--R (12012a cosh(x) - 168a)sinh(x) +--R + +--R 5 9 +--R (24024a cosh(x) - 1680a cosh(x))sinh(x) +--R + +--R 6 2 8 +--R (36036a cosh(x) - 7560a cosh(x) - 336a)sinh(x) +--R + +--R 7 3 7 +--R (41184a cosh(x) - 20160a cosh(x) - 2688a cosh(x))sinh(x) +--R + +--R 8 4 2 +--R (36036a cosh(x) - 35280a cosh(x) - 9408a cosh(x) - 84a) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 5 3 +--R 24024a cosh(x) - 42336a cosh(x) - 18816a cosh(x) +--R + +--R - 504a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 4 +--R 12012a cosh(x) - 35280a cosh(x) - 23520a cosh(x) +--R + +--R 2 +--R - 1260a cosh(x) + 336a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 5 +--R 4368a cosh(x) - 20160a cosh(x) - 18816a cosh(x) +--R + +--R 3 +--R - 1680a cosh(x) + 1344a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 6 +--R 1092a cosh(x) - 7560a cosh(x) - 9408a cosh(x) +--R + +--R 4 2 +--R - 1260a cosh(x) + 2016a cosh(x) + 336a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 7 +--R 168a cosh(x) - 1680a cosh(x) - 2688a cosh(x) +--R + +--R 5 3 +--R - 504a cosh(x) + 1344a cosh(x) + 672a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 10 8 6 +--R 12a cosh(x) - 168a cosh(x) - 336a cosh(x) - 84a cosh(x) +--R + +--R 4 2 +--R 336a cosh(x) + 336a cosh(x) + 96a +--R * +--R 3 +--R tanh(x) +--R + +--R 14 13 +--R 28a sinh(x) + 392a cosh(x)sinh(x) +--R + +--R 2 12 3 11 +--R 2548a cosh(x) sinh(x) + 10192a cosh(x) sinh(x) +--R + +--R 4 10 +--R (28028a cosh(x) - 392a)sinh(x) +--R + +--R 5 9 +--R (56056a cosh(x) - 3920a cosh(x))sinh(x) +--R + +--R 6 2 8 +--R (84084a cosh(x) - 17640a cosh(x) - 784a)sinh(x) +--R + +--R 7 3 7 +--R (96096a cosh(x) - 47040a cosh(x) - 6272a cosh(x))sinh(x) +--R + +--R 8 4 2 +--R 84084a cosh(x) - 82320a cosh(x) - 21952a cosh(x) +--R + +--R - 196a +--R * +--R 6 +--R sinh(x) +--R + +--R 9 5 3 +--R 56056a cosh(x) - 98784a cosh(x) - 43904a cosh(x) +--R + +--R - 1176a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 4 +--R 28028a cosh(x) - 82320a cosh(x) - 54880a cosh(x) +--R + +--R 2 +--R - 2940a cosh(x) + 784a +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 5 +--R 10192a cosh(x) - 47040a cosh(x) - 43904a cosh(x) +--R + +--R 3 +--R - 3920a cosh(x) + 3136a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 6 +--R 2548a cosh(x) - 17640a cosh(x) - 21952a cosh(x) +--R + +--R 4 2 +--R - 2940a cosh(x) + 4704a cosh(x) + 784a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 7 +--R 392a cosh(x) - 3920a cosh(x) - 6272a cosh(x) +--R + +--R 5 3 +--R - 1176a cosh(x) + 3136a cosh(x) + 1568a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 10 8 +--R 28a cosh(x) - 392a cosh(x) - 784a cosh(x) +--R + +--R 6 4 2 +--R - 196a cosh(x) + 784a cosh(x) + 784a cosh(x) + 224a +--R * +--R tanh(x) +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R +-------+ | 3 +--R \|tanh(x) \|a tanh(x) +--R + +--R 12 11 +--R 448a sinh(x) + 5376a cosh(x)sinh(x) +--R + +--R 2 10 +--R (29568a cosh(x) + 1008a)sinh(x) +--R + +--R 3 9 +--R (98560a cosh(x) + 10080a cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (221760a cosh(x) + 45360a cosh(x) )sinh(x) +--R + +--R 5 3 7 +--R (354816a cosh(x) + 120960a cosh(x) )sinh(x) +--R + +--R 6 4 6 +--R (413952a cosh(x) + 211680a cosh(x) - 1904a)sinh(x) +--R + +--R 7 5 5 +--R (354816a cosh(x) + 254016a cosh(x) - 11424a cosh(x))sinh(x) +--R + +--R 8 6 2 +--R (221760a cosh(x) + 211680a cosh(x) - 28560a cosh(x) - 2688a) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 3 +--R 98560a cosh(x) + 120960a cosh(x) - 38080a cosh(x) +--R + +--R - 10752a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 4 +--R 29568a cosh(x) + 45360a cosh(x) - 28560a cosh(x) +--R + +--R 2 +--R - 16128a cosh(x) - 1344a +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 5 +--R 5376a cosh(x) + 10080a cosh(x) - 11424a cosh(x) +--R + +--R 3 +--R - 10752a cosh(x) - 2688a cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 6 +--R 448a cosh(x) + 1008a cosh(x) - 1904a cosh(x) +--R + +--R 4 2 +--R - 2688a cosh(x) - 1344a cosh(x) +--R * +--R +---------+ +--R +---+ |a sinh(x) +--R tanh(x)\|- a |--------- +--R \| cosh(x) +--R + +--R 2 14 2 13 +--R - 80a sinh(x) - 1120a cosh(x)sinh(x) +--R + +--R 2 2 2 12 +--R (- 7280a cosh(x) - 112a )sinh(x) +--R + +--R 2 3 2 11 +--R (- 29120a cosh(x) - 1344a cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 10 +--R (- 80080a cosh(x) - 7392a cosh(x) + 896a )sinh(x) +--R + +--R 2 5 2 3 2 9 +--R (- 160160a cosh(x) - 24640a cosh(x) + 8960a cosh(x))sinh(x) +--R + +--R 2 6 2 4 2 2 +--R - 240240a cosh(x) - 55440a cosh(x) + 40320a cosh(x) +--R + +--R 2 +--R 1232a +--R * +--R 8 +--R sinh(x) +--R + +--R 2 7 2 5 2 3 +--R - 274560a cosh(x) - 88704a cosh(x) + 107520a cosh(x) +--R + +--R 2 +--R 9856a cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 8 2 6 2 4 +--R - 240240a cosh(x) - 103488a cosh(x) + 188160a cosh(x) +--R + +--R 2 2 2 +--R 34496a cosh(x) + 112a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 9 2 7 2 5 +--R - 160160a cosh(x) - 88704a cosh(x) + 225792a cosh(x) +--R + +--R 2 3 2 +--R 68992a cosh(x) + 672a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 10 2 8 2 6 +--R - 80080a cosh(x) - 55440a cosh(x) + 188160a cosh(x) +--R + +--R 2 4 2 2 2 +--R 86240a cosh(x) + 1680a cosh(x) - 1344a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 11 2 9 2 7 +--R - 29120a cosh(x) - 24640a cosh(x) + 107520a cosh(x) +--R + +--R 2 5 2 3 2 +--R 68992a cosh(x) + 2240a cosh(x) - 5376a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 12 2 10 2 8 +--R - 7280a cosh(x) - 7392a cosh(x) + 40320a cosh(x) +--R + +--R 2 6 2 4 2 2 2 +--R 34496a cosh(x) + 1680a cosh(x) - 8064a cosh(x) - 1344a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 13 2 11 2 9 +--R - 1120a cosh(x) - 1344a cosh(x) + 8960a cosh(x) +--R + +--R 2 7 2 5 2 3 2 +--R 9856a cosh(x) + 672a cosh(x) - 5376a cosh(x) - 2688a cosh(x) +--R * +--R sinh(x) +--R + +--R 2 14 2 12 2 10 +--R - 80a cosh(x) - 112a cosh(x) + 896a cosh(x) +--R + +--R 2 8 2 6 2 4 2 2 +--R 1232a cosh(x) + 112a cosh(x) - 1344a cosh(x) - 1344a cosh(x) +--R * +--R tanh(x) +--R * +--R +-------+ +--R \|tanh(x) +--R / +--R 14 13 2 12 +--R 42sinh(x) + 588cosh(x)sinh(x) + (3822cosh(x) + 336)sinh(x) +--R + +--R 3 11 +--R (15288cosh(x) + 4032cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (42042cosh(x) + 22176cosh(x) + 756)sinh(x) +--R + +--R 5 3 9 +--R (84084cosh(x) + 73920cosh(x) + 7560cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (126126cosh(x) + 166320cosh(x) + 34020cosh(x) + 168)sinh(x) +--R + +--R 7 5 3 +--R (144144cosh(x) + 266112cosh(x) + 90720cosh(x) + 1344cosh(x)) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 6 4 2 +--R 126126cosh(x) + 310464cosh(x) + 158760cosh(x) + 4704cosh(x) +--R + +--R - 1638 +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 84084cosh(x) + 266112cosh(x) + 190512cosh(x) + 9408cosh(x) +--R + +--R - 9828cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 +--R 42042cosh(x) + 166320cosh(x) + 158760cosh(x) +--R + +--R 4 2 +--R 11760cosh(x) - 24570cosh(x) - 2520 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 15288cosh(x) + 73920cosh(x) + 90720cosh(x) + 9408cosh(x) +--R + +--R 3 +--R - 32760cosh(x) - 10080cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 3822cosh(x) + 22176cosh(x) + 34020cosh(x) + 4704cosh(x) +--R + +--R 4 2 +--R - 24570cosh(x) - 15120cosh(x) - 1512 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 588cosh(x) + 4032cosh(x) + 7560cosh(x) + 1344cosh(x) +--R + +--R 5 3 +--R - 9828cosh(x) - 10080cosh(x) - 3024cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R 42cosh(x) + 336cosh(x) + 756cosh(x) + 168cosh(x) +--R + +--R 6 4 2 +--R - 1638cosh(x) - 2520cosh(x) - 1512cosh(x) - 336 +--R * +--R +---------+ +--R |a sinh(x) +--R tanh(x) |--------- +--R \| cosh(x) +--R + +--R 14 13 2 12 +--R 42sinh(x) + 588cosh(x)sinh(x) + 3822cosh(x) sinh(x) +--R + +--R 3 11 4 10 +--R 15288cosh(x) sinh(x) + (42042cosh(x) - 588)sinh(x) +--R + +--R 5 9 +--R (84084cosh(x) - 5880cosh(x))sinh(x) +--R + +--R 6 2 8 +--R (126126cosh(x) - 26460cosh(x) - 1176)sinh(x) +--R + +--R 7 3 7 +--R (144144cosh(x) - 70560cosh(x) - 9408cosh(x))sinh(x) +--R + +--R 8 4 2 6 +--R (126126cosh(x) - 123480cosh(x) - 32928cosh(x) - 294)sinh(x) +--R + +--R 9 5 3 +--R (84084cosh(x) - 148176cosh(x) - 65856cosh(x) - 1764cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 6 4 2 +--R 42042cosh(x) - 123480cosh(x) - 82320cosh(x) - 4410cosh(x) +--R + +--R 1176 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 7 5 3 +--R 15288cosh(x) - 70560cosh(x) - 65856cosh(x) - 5880cosh(x) +--R + +--R 4704cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 8 6 4 +--R 3822cosh(x) - 26460cosh(x) - 32928cosh(x) - 4410cosh(x) +--R + +--R 2 +--R 7056cosh(x) + 1176 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 9 7 5 +--R 588cosh(x) - 5880cosh(x) - 9408cosh(x) - 1764cosh(x) +--R + +--R 3 +--R 4704cosh(x) + 2352cosh(x) +--R * +--R sinh(x) +--R + +--R 14 10 8 6 +--R 42cosh(x) - 588cosh(x) - 1176cosh(x) - 294cosh(x) +--R + +--R 4 2 +--R 1176cosh(x) + 1176cosh(x) + 336 +--R * +--R +---+ +--R tanh(x)\|- a +--R * +--R +-------+ +--R \|tanh(x) +--R Type: Expression Integer +--E 489 + +--S 490 of 500 +--d0297:= D(m0297,x) +--E 490 + +--S 491 of 500 +t0298:= 1/(a*tanh(x)^2)^(1/2) +--R +--R +--R 1 +--R (333) ------------- +--R +----------+ +--R | 2 +--R \|a tanh(x) +--R Type: Expression Integer +--E 491 + +--S 492 of 500 +r0298:= log(sinh(x))*tanh(x)/(a*tanh(x)^2)^(1/2) +--R +--R +--R tanh(x)log(sinh(x)) +--R (334) ------------------- +--R +----------+ +--R | 2 +--R \|a tanh(x) +--R Type: Expression Integer +--E 492 + +--S 493 of 500 +a0298:= integrate(t0298,x) +--R +--R +--R 2sinh(x) +--R log(- -----------------) - x +--R sinh(x) - cosh(x) +--R (335) ---------------------------- +--R +-+ +--R \|a +--R Type: Union(Expression Integer,...) +--E 493 + +--S 494 of 500 +m0298:= a0298-r0298 +--R +--R +--R (336) +--R +----------+ +--R 2sinh(x) | 2 +-+ +--R (log(- -----------------) - x)\|a tanh(x) - tanh(x)\|a log(sinh(x)) +--R sinh(x) - cosh(x) +--R --------------------------------------------------------------------- +--R +----------+ +--R +-+ | 2 +--R \|a \|a tanh(x) +--R Type: Expression Integer +--E 494 + +--S 495 of 500 +d0298:= D(m0298,x) +--R +--R +--R +----------+ +--R +-+ | 2 +--R cosh(x)\|a \|a tanh(x) - a cosh(x)tanh(x) +--R (337) ------------------------------------------- +--R +----------+ +--R | 2 +--R a sinh(x)\|a tanh(x) +--R Type: Expression Integer +--E 495 + +--S 496 of 500 +t0299:= 1/(a*tanh(x)^3)^(1/2) +--R +--R +--R 1 +--R (338) ------------- +--R +----------+ +--R | 3 +--R \|a tanh(x) +--R Type: Expression Integer +--E 496 + +--S 497 of 500 +r0299:= -(2+(atan(tanh(x)^(1/2))-atanh(tanh(x)^(1/2)))*tanh(x)^(1/2))*_ + tanh(x)/(a*tanh(x)^3)^(1/2) +--R +--R +--R (339) +--R +-------+ +-------+ +-------+ +-------+ +--R tanh(x)\|tanh(x) atanh(\|tanh(x) ) - tanh(x)\|tanh(x) atan(\|tanh(x) ) +--R + +--R - 2tanh(x) +--R / +--R +----------+ +--R | 3 +--R \|a tanh(x) +--R Type: Expression Integer +--E 497 + +--S 498 of 500 +a0299:= integrate(t0299,x) +--R +--R +--R (340) +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- +--R \| cosh(x) +--R + +--R 2 2 +--R - a sinh(x) - 2a cosh(x)sinh(x) - a cosh(x) + a +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 2)\|- a |--------- +--R \| cosh(x) +--R + +--R 2 2 +--R 2a sinh(x) + 4a cosh(x)sinh(x) + 2a cosh(x) - 2a +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R - 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) +--R / +--R +---------+ +--R 2 2 |a sinh(x) +--R (2a sinh(x) + 4a cosh(x)sinh(x) + 2a cosh(x) + 2a) |--------- +--R \| cosh(x) +--R + +--R 2 2 +---+ +--R (2a sinh(x) + 4a cosh(x)sinh(x) + 2a cosh(x) - 2a)\|- a +--R Type: Union(Expression Integer,...) +--E 498 + +--S 499 of 500 +m0299:= a0299-r0299 +--R +--R +--R (341) +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- +--R \| cosh(x) +--R + +--R 2 2 +--R - a sinh(x) - 2a cosh(x)sinh(x) - a cosh(x) + a +--R * +--R +----------+ +--R | 3 +--R \|a tanh(x) +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R log(-----------------------------------------------------------------) +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) )\|- a +--R + +--R 2 2 +--R (- 2a sinh(x) - 4a cosh(x)sinh(x) - 2a cosh(x) - 2a)tanh(x) +--R * +--R +---------+ +--R |a sinh(x) +--R |--------- +--R \| cosh(x) +--R + +--R 2 2 +---+ +--R (- 2a sinh(x) - 4a cosh(x)sinh(x) - 2a cosh(x) + 2a)tanh(x)\|- a +--R * +--R +-------+ +-------+ +--R \|tanh(x) atanh(\|tanh(x) ) +--R + +--R 2 2 +--R (2a sinh(x) + 4a cosh(x)sinh(x) + 2a cosh(x) + 2a)tanh(x) +--R * +--R +---------+ +--R |a sinh(x) +--R |--------- +--R \| cosh(x) +--R + +--R 2 2 +---+ +--R (2a sinh(x) + 4a cosh(x)sinh(x) + 2a cosh(x) - 2a)tanh(x)\|- a +--R * +--R +-------+ +-------+ +--R \|tanh(x) atan(\|tanh(x) ) +--R + +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (- 2sinh(x) - 4cosh(x)sinh(x) - 2cosh(x) - 2)\|- a |--------- +--R \| cosh(x) +--R + +--R 2 2 +--R 2a sinh(x) + 4a cosh(x)sinh(x) + 2a cosh(x) - 2a +--R * +--R +----------+ +--R | 3 +--R \|a tanh(x) +--R * +--R +---------+ +--R 2 2 +---+ |a sinh(x) +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a |--------- + a +--R \| cosh(x) +--R atan(-----------------------------------------------------------------) +--R 2 2 +--R a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) +--R + +--R +----------+ +--R 2 2 | 3 +--R (- 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) )\|a tanh(x) +--R + +--R +---------+ +--R 2 2 |a sinh(x) +--R (4a sinh(x) + 8a cosh(x)sinh(x) + 4a cosh(x) + 4a)tanh(x) |--------- +--R \| cosh(x) +--R + +--R 2 2 +---+ +--R (4a sinh(x) + 8a cosh(x)sinh(x) + 4a cosh(x) - 4a)tanh(x)\|- a +--R / +--R +---------+ +--R 2 2 |a sinh(x) +--R (2a sinh(x) + 4a cosh(x)sinh(x) + 2a cosh(x) + 2a) |--------- +--R \| cosh(x) +--R + +--R 2 2 +---+ +--R (2a sinh(x) + 4a cosh(x)sinh(x) + 2a cosh(x) - 2a)\|- a +--R * +--R +----------+ +--R | 3 +--R \|a tanh(x) +--R Type: Expression Integer +--E 499 + +--S 500 of 500 +d0299:= D(m0299,x) +--R +--R +--R (342) +--R 14 13 2 12 +--R sinh(x) + 4cosh(x)sinh(x) + (- 15cosh(x) + 5)sinh(x) +--R + +--R 3 11 +--R (- 144cosh(x) + 14cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 451cosh(x) - 108cosh(x) + 10)sinh(x) +--R + +--R 5 3 9 +--R (- 748cosh(x) - 718cosh(x) + 16cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 627cosh(x) - 1831cosh(x) - 274cosh(x) + 10)sinh(x) +--R + +--R 5 3 7 +--R (- 2420cosh(x) - 1280cosh(x) + 4cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (627cosh(x) - 1456cosh(x) - 2300cosh(x) - 324cosh(x) + 5) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 748cosh(x) + 292cosh(x) - 1760cosh(x) - 956cosh(x) +--R + +--R - 4cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 451cosh(x) + 1127cosh(x) - 4cosh(x) - 864cosh(x) +--R + +--R 2 +--R - 183cosh(x) + 1 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 144cosh(x) + 774cosh(x) + 896cosh(x) + 44cosh(x) +--R + +--R 3 +--R - 224cosh(x) - 2cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 15cosh(x) + 220cosh(x) + 530cosh(x) + 420cosh(x) +--R + +--R 4 2 +--R 55cosh(x) - 40cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 4cosh(x) + 10cosh(x) + 80cosh(x) + 140cosh(x) +--R + +--R 5 3 +--R 100cosh(x) + 26cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 6 +--R - cosh(x) - 5cosh(x) - 10cosh(x) - 10cosh(x) - 5cosh(x) +--R + +--R 4 +--R - cosh(x) +--R * +--R +---------+ +--R |a sinh(x) +--R |--------- +--R \| cosh(x) +--R + +--R 14 13 2 12 +--R - 4sinh(x) - 36cosh(x)sinh(x) + (- 136cosh(x) - 20)sinh(x) +--R + +--R 3 11 +--R (- 264cosh(x) - 160cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 220cosh(x) - 500cosh(x) - 40)sinh(x) +--R + +--R 5 3 9 +--R (132cosh(x) - 664cosh(x) - 280cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (528cosh(x) + 88cosh(x) - 640cosh(x) - 40)sinh(x) +--R + +--R 7 5 3 7 +--R (528cosh(x) + 1568cosh(x) - 256cosh(x) - 240cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (132cosh(x) + 2296cosh(x) + 1264cosh(x) - 280cosh(x) - 20) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 220cosh(x) + 1520cosh(x) + 2320cosh(x) + 416cosh(x) +--R + +--R - 100cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 264cosh(x) + 316cosh(x) + 1600cosh(x) + 1064cosh(x) +--R + +--R 2 +--R 40cosh(x) - 4 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 136cosh(x) - 192cosh(x) + 320cosh(x) + 656cosh(x) +--R + +--R 3 +--R 264cosh(x) - 16cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 36cosh(x) - 132cosh(x) - 136cosh(x) + 24cosh(x) +--R + +--R 4 2 +--R 108cosh(x) + 44cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 +--R - 4cosh(x) - 24cosh(x) - 56cosh(x) - 64cosh(x) +--R + +--R 5 3 +--R - 36cosh(x) - 8cosh(x) +--R * +--R sinh(x) +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R | 3 +--R \|a tanh(x) +--R + +--R 13 2 12 +--R - 4cosh(x)sinh(x) - 32cosh(x) sinh(x) +--R + +--R 3 11 +--R (- 104cosh(x) - 20cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 160cosh(x) - 168cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (- 60cosh(x) - 612cosh(x) - 40cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (192cosh(x) - 1248cosh(x) - 272cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (336cosh(x) - 1512cosh(x) - 800cosh(x) - 40cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (192cosh(x) - 1008cosh(x) - 1328cosh(x) - 128cosh(x) )sinh(x) +--R + +--R 9 7 5 3 +--R - 60cosh(x) - 168cosh(x) - 1360cosh(x) - 104cosh(x) +--R + +--R - 20cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 160cosh(x) + 288cosh(x) - 880cosh(x) + 64cosh(x) +--R + +--R 2 +--R 48cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 104cosh(x) + 252cosh(x) - 352cosh(x) + 136cosh(x) +--R + +--R 3 +--R 168cosh(x) - 4cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 32cosh(x) + 88cosh(x) - 80cosh(x) + 64cosh(x) +--R + +--R 4 2 +--R 112cosh(x) + 40cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 5 +--R - 4cosh(x) + 12cosh(x) - 8cosh(x) + 8cosh(x) + 12cosh(x) +--R + +--R 3 +--R - 20cosh(x) +--R * +--R sinh(x) +--R * +--R +---------+ +--R +---+ |a sinh(x) +--R \|- a |--------- +--R \| cosh(x) +--R + +--R 13 2 12 +--R 8a cosh(x)sinh(x) + 72a cosh(x) sinh(x) +--R + +--R 3 11 +--R (280a cosh(x) + 12a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (600a cosh(x) + 104a cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (720a cosh(x) + 396a cosh(x) - 32a cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (336a cosh(x) + 864a cosh(x) - 200a cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (- 336a cosh(x) + 1176a cosh(x) - 520a cosh(x) - 88a cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (- 720a cosh(x) + 1008a cosh(x) - 712a cosh(x) - 384a cosh(x) ) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 600a cosh(x) + 504a cosh(x) - 520a cosh(x) - 664a cosh(x) +--R + +--R - 72a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 280a cosh(x) + 96a cosh(x) - 152a cosh(x) - 576a cosh(x) +--R + +--R 2 +--R - 112a cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 72a cosh(x) - 36a cosh(x) + 40a cosh(x) - 264a cosh(x) +--R + +--R - 20a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R - 8a cosh(x) - 24a cosh(x) + 40a cosh(x) - 64a cosh(x) +--R + +--R 4 2 +--R 48a cosh(x) + 40a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 4a cosh(x) + 8a cosh(x) - 8a cosh(x) + 8a cosh(x) +--R + +--R 3 +--R - 4a cosh(x) +--R * +--R sinh(x) +--R / +--R 13 2 12 +--R 4cosh(x)sinh(x) + 32cosh(x) sinh(x) +--R + +--R 3 11 +--R (104cosh(x) + 20cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (160cosh(x) + 168cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (60cosh(x) + 612cosh(x) + 40cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 192cosh(x) + 1248cosh(x) + 272cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (- 336cosh(x) + 1512cosh(x) + 800cosh(x) + 40cosh(x))sinh(x) +--R + +--R 8 6 4 2 6 +--R (- 192cosh(x) + 1008cosh(x) + 1328cosh(x) + 128cosh(x) )sinh(x) +--R + +--R 9 7 5 3 +--R 60cosh(x) + 168cosh(x) + 1360cosh(x) + 104cosh(x) +--R + +--R 20cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 160cosh(x) - 288cosh(x) + 880cosh(x) - 64cosh(x) +--R + +--R 2 +--R - 48cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 104cosh(x) - 252cosh(x) + 352cosh(x) - 136cosh(x) +--R + +--R 3 +--R - 168cosh(x) + 4cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 32cosh(x) - 88cosh(x) + 80cosh(x) - 64cosh(x) +--R + +--R 4 2 +--R - 112cosh(x) - 40cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 7 5 +--R 4cosh(x) - 12cosh(x) + 8cosh(x) - 8cosh(x) - 12cosh(x) +--R + +--R 3 +--R 20cosh(x) +--R * +--R sinh(x) +--R * +--R +---------+ +--R +---+ |a sinh(x) +--R \|- a |--------- +--R \| cosh(x) +--R + +--R 13 2 12 +--R - 8a cosh(x)sinh(x) - 72a cosh(x) sinh(x) +--R + +--R 3 11 +--R (- 280a cosh(x) - 12a cosh(x))sinh(x) +--R + +--R 4 2 10 +--R (- 600a cosh(x) - 104a cosh(x) )sinh(x) +--R + +--R 5 3 9 +--R (- 720a cosh(x) - 396a cosh(x) + 32a cosh(x))sinh(x) +--R + +--R 6 4 2 8 +--R (- 336a cosh(x) - 864a cosh(x) + 200a cosh(x) )sinh(x) +--R + +--R 7 5 3 7 +--R (336a cosh(x) - 1176a cosh(x) + 520a cosh(x) + 88a cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (720a cosh(x) - 1008a cosh(x) + 712a cosh(x) + 384a cosh(x) ) +--R * +--R 6 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 600a cosh(x) - 504a cosh(x) + 520a cosh(x) + 664a cosh(x) +--R + +--R 72a cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 280a cosh(x) - 96a cosh(x) + 152a cosh(x) + 576a cosh(x) +--R + +--R 2 +--R 112a cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 72a cosh(x) + 36a cosh(x) - 40a cosh(x) + 264a cosh(x) +--R + +--R 20a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 8a cosh(x) + 24a cosh(x) - 40a cosh(x) + 64a cosh(x) +--R + +--R 4 2 +--R - 48a cosh(x) - 40a cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 4a cosh(x) - 8a cosh(x) + 8a cosh(x) - 8a cosh(x) +--R + +--R 3 +--R 4a cosh(x) +--R * +--R sinh(x) +--R * +--R +----------+ +--R | 3 +--R \|a tanh(x) +--R Type: Expression Integer +--E 500 + +)spool + +\end{chunk} +\eject +\begin{thebibliography}{99} +\bibitem{1} Albert D. Rich ``Rule-based Mathematics'' +\verb|www.apmaths.uwo.ca/~arich| +\end{thebibliography} +\end{document}