diff --git a/changelog b/changelog index fac4fd5..9cce51b 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20100609 tpd src/axiom-website/patches.html 20100609.02.tpd.patch +20100609 tpd src/input/Makefile rule-based trig integration +20100609 tpd src/input/richtrig200-299.input rule-based trig integration 20100609 tpd src/axiom-website/patches.html 20100609.01.tpd.patch 20100609 tpd src/input/Makefile rule-based trig integration 20100609 tpd src/input/richtrig100-199.input rule-based trig integration diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 78263f3..b378718 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2868,6 +2868,8 @@ src/input/richtrig000-099.input rule-based trig integration
books/bookvol5 add David Parnas to credits
20100609.01.tpd.patch src/input/richtrig100-199.input rule-based trig integration
+20100609.02.tpd.patch +src/input/richtrig200-299.input rule-based trig integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index 94587b0..fd85faa 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -378,6 +378,7 @@ REGRES= ackermann.regress \ richrational.regress \ richtrig000-099.regress \ richtrig100-199.regress \ + richtrig200-299.regress \ robidoux.regress \ roman.regress roots.regress ruleset.regress rules.regress \ rubey.regress sae.regress spline.regress \ @@ -699,6 +700,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richrational.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ + ${OUT}/richtrig200-299.input \ ${OUT}/robidoux.input ${OUT}/roman.input ${OUT}/roots.input \ ${OUT}/ruleset.input ${OUT}/rules.input ${OUT}/rubey.input \ ${OUT}/sae.input \ @@ -1049,6 +1051,7 @@ DOCFILES= \ ${DOC}/richrational.input.dvi \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ + ${DOC}/richtrig200-299.input.dvi \ ${DOC}/rk4draw.input.dvi \ ${DOC}/robidoux.input.dvi ${DOC}/roman.input.dvi \ ${DOC}/romnum.as.dvi ${DOC}/roots.input.dvi \ diff --git a/src/input/richtrig200-299.input.pamphlet b/src/input/richtrig200-299.input.pamphlet new file mode 100644 index 0000000..53b8a2b --- /dev/null +++ b/src/input/richtrig200-299.input.pamphlet @@ -0,0 +1,32425 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richtrig200-299.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richtrig200-299.output +)spool richtrig200-299.output +)set message auto off +)clear all + +--S 1 of 510 +t0200:= x^2*cos(a+b*log(c*x^n))^2 +--R +--R +--R 2 n 2 +--R (1) x cos(b log(c x ) + a) +--R Type: Expression Integer +--E 1 + +--S 2 of 510 +r0200:= 1/3/(9+4*b^2*n^2)*x^3*(2*b^2*n^2+9*cos(a+b*log(c*x^n))^2+6*b*n*cos(a+b*log(c*x^n))*sin(a+b*log(c*x^n))) +--R +--R +--R (2) +--R 3 n n +--R 6b n x cos(b log(c x ) + a)sin(b log(c x ) + a) +--R + +--R 3 n 2 2 2 3 +--R 9x cos(b log(c x ) + a) + 2b n x +--R / +--R 2 2 +--R 12b n + 27 +--R Type: Expression Integer +--E 2 + +--S 3 of 510 +a0200:= integrate(t0200,x) +--R +--R +--R (3) +--R 3 +--R 6b n x cos(b n log(x) + b log(c) + a)sin(b n log(x) + b log(c) + a) +--R + +--R 3 2 2 2 3 +--R 9x cos(b n log(x) + b log(c) + a) + 2b n x +--R / +--R 2 2 +--R 12b n + 27 +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 510 +m0200:= a0200-r0200 +--R +--R +--R (4) +--R 3 n n +--R - 2b n x cos(b log(c x ) + a)sin(b log(c x ) + a) +--R + +--R 3 n 2 +--R - 3x cos(b log(c x ) + a) +--R + +--R 3 +--R 2b n x cos(b n log(x) + b log(c) + a)sin(b n log(x) + b log(c) + a) +--R + +--R 3 2 +--R 3x cos(b n log(x) + b log(c) + a) +--R / +--R 2 2 +--R 4b n + 9 +--R Type: Expression Integer +--E 4 + +--S 5 of 510 +d0200:= D(m0200,x) +--R +--R +--R (5) +--R 2 2 3 n - 1 n 2 +--R 2b n x x sin(b log(c x ) + a) +--R + +--R 2 n 3 n - 1 n n +--R (- 6b n x x + 6b n x x )cos(b log(c x ) + a)sin(b log(c x ) + a) +--R + +--R 2 n 2 2 3 n - 1 n 2 +--R (- 9x x - 2b n x x )cos(b log(c x ) + a) +--R + +--R 2 2 2 n 2 +--R - 2b n x x sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 n 2 +--R (2b n + 9)x x cos(b n log(x) + b log(c) + a) +--R / +--R 2 2 n +--R (4b n + 9)x +--R Type: Expression Integer +--E 5 + +--S 6 of 510 +t0201:= cos(a+b*log(c*x^n))^2/x^2 +--R +--R +--R n 2 +--R cos(b log(c x ) + a) +--R (6) --------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 6 + +--S 7 of 510 +r0201:= -1/(1+4*b^2*n^2)/x*(2*b^2*n^2+cos(a+b*log(c*x^n))^2-2*b*n*cos(a+b*log(c*x^n))*sin(a+b*log(c*x^n))) +--R +--R +--R (7) +--R n n n 2 2 2 +--R 2b n cos(b log(c x ) + a)sin(b log(c x ) + a) - cos(b log(c x ) + a) - 2b n +--R ----------------------------------------------------------------------------- +--R 2 2 +--R (4b n + 1)x +--R Type: Expression Integer +--E 7 + +--S 8 of 510 +a0201:= integrate(t0201,x) +--R +--R +--R (8) +--R 2b n cos(b n log(x) + b log(c) + a)sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R - cos(b n log(x) + b log(c) + a) - 2b n +--R / +--R 2 2 +--R (4b n + 1)x +--R Type: Union(Expression Integer,...) +--E 8 + +--S 9 of 510 +m0201:= a0201-r0201 +--R +--R +--R (9) +--R n n n 2 +--R - 2b n cos(b log(c x ) + a)sin(b log(c x ) + a) + cos(b log(c x ) + a) +--R + +--R 2b n cos(b n log(x) + b log(c) + a)sin(b n log(x) + b log(c) + a) +--R + +--R 2 +--R - cos(b n log(x) + b log(c) + a) +--R / +--R 2 2 +--R (4b n + 1)x +--R Type: Expression Integer +--E 9 + +--S 10 of 510 +d0201:= D(m0201,x) +--R +--R +--R (10) +--R 2 2 n - 1 n 2 +--R 2b n x x sin(b log(c x ) + a) +--R + +--R n n - 1 n n +--R (2b n x - 2b n x x )cos(b log(c x ) + a)sin(b log(c x ) + a) +--R + +--R n 2 2 n - 1 n 2 +--R (- x - 2b n x x )cos(b log(c x ) + a) +--R + +--R 2 2 n 2 +--R - 2b n x sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 n 2 +--R (2b n + 1)x cos(b n log(x) + b log(c) + a) +--R / +--R 2 2 2 n +--R (4b n + 1)x x +--R Type: Expression Integer +--E 10 + +--S 11 of 510 +t0202:= x^m*cos(a+b*log(c*x^n))^2 +--R +--R +--R m n 2 +--R (11) x cos(b log(c x ) + a) +--R Type: Expression Integer +--E 11 + +--S 12 of 510 +r0202:= 2*b^2*n^2*x^(1+m)/(1+m)/((1+m)^2+4*b^2*n^2)+(1+m)*x^(1+m)*cos(a+b*log(c*x^n))^2/((1+m)^2+4*b^2*n^2)+2*b*n*x^(1+m)*cos(a+b*log(c*x^n))*sin(a+b*log(c*x^n))/((1+m)^2+4*b^2*n^2) +--R +--R +--R (12) +--R m + 1 n n +--R (2b m + 2b)n x cos(b log(c x ) + a)sin(b log(c x ) + a) +--R + +--R 2 m + 1 n 2 2 2 m + 1 +--R (m + 2m + 1)x cos(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 12 + +--S 13 of 510 +a0202:= integrate(t0202,x) +--R +--R +--R (13) +--R m log(x) +--R (2b m + 2b)n x cos(b n log(x) + b log(c) + a)%e +--R * +--R sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 m log(x) +--R ((m + 2m + 1)x cos(b n log(x) + b log(c) + a) + 2b n x)%e +--R / +--R 2 2 2 3 2 +--R (4b m + 4b )n + m + 3m + 3m + 1 +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 510 +m0202:= a0202-r0202 +--R +--R +--R (14) +--R m + 1 n n +--R (- 2b m - 2b)n x cos(b log(c x ) + a)sin(b log(c x ) + a) +--R + +--R 2 m + 1 n 2 +--R (- m - 2m - 1)x cos(b log(c x ) + a) +--R + +--R m log(x) +--R (2b m + 2b)n x cos(b n log(x) + b log(c) + a)%e +--R * +--R sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 2 m log(x) +--R ((m + 2m + 1)x cos(b n log(x) + b log(c) + a) + 2b n x)%e +--R + +--R 2 2 m + 1 +--R - 2b n x +--R / +--R 2 2 2 3 2 +--R (4b m + 4b )n + m + 3m + 3m + 1 +--R Type: Expression Integer +--E 14 + +--S 15 of 510 +d0202:= D(m0202,x) +--R +--R +--R (15) +--R 2 2 m + 1 n - 1 n 2 +--R 2b n x x sin(b log(c x ) + a) +--R + +--R m n m + 1 n - 1 n +--R ((- 2b m - 2b)n x x + (2b m + 2b)n x x )cos(b log(c x ) + a) +--R * +--R n +--R sin(b log(c x ) + a) +--R + +--R 2 m n 2 2 m + 1 n - 1 n 2 +--R ((- m - 2m - 1)x x - 2b n x x )cos(b log(c x ) + a) +--R + +--R 2 2 n m log(x) 2 +--R - 2b n x %e sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 n 2 2 2 n +--R ((2b n + m + 2m + 1)x cos(b n log(x) + b log(c) + a) + 2b n x ) +--R * +--R m log(x) +--R %e +--R + +--R 2 2 m n +--R - 2b n x x +--R / +--R 2 2 2 n +--R (4b n + m + 2m + 1)x +--R Type: Expression Integer +--E 15 + +--S 16 of 510 +t0203:= cos(a+b*log(c*x^n))^3 +--R +--R +--R n 3 +--R (16) cos(b log(c x ) + a) +--R Type: Expression Integer +--E 16 + +--S 17 of 510 +r0203:= 6*b^2*n^2*x*cos(a+b*log(c*x^n))/(1+b^2*n^2)/(1+9*b^2*n^2)+x*cos(a+b*log(c*x^n))^3/(1+9*b^2*n^2)+6*b^3*n^3*x*sin(a+b*log(c*x^n))/(1+b^2*n^2)/(1+9*b^2*n^2)+3*b*n*x*cos(a+b*log(c*x^n))^2*sin(a+b*log(c*x^n))/(1+9*b^2*n^2) +--R +--R +--R (17) +--R 3 3 n 2 3 3 n +--R ((3b n + 3b n)x cos(b log(c x ) + a) + 6b n x)sin(b log(c x ) + a) +--R + +--R 2 2 n 3 2 2 n +--R (b n + 1)x cos(b log(c x ) + a) + 6b n x cos(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R 9b n + 10b n + 1 +--R Type: Expression Integer +--E 17 + +--S 18 of 510 +a0203:= integrate(t0203,x) +--R +--R +--R (18) +--R 3 3 2 3 3 +--R ((3b n + 3b n)x cos(b n log(x) + b log(c) + a) + 6b n x) +--R * +--R sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (b n + 1)x cos(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R 6b n x cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 9b n + 10b n + 1 +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 510 +m0203:= a0203-r0203 +--R +--R +--R (19) +--R 3 3 n 2 3 3 n +--R ((- 3b n - 3b n)x cos(b log(c x ) + a) - 6b n x)sin(b log(c x ) + a) +--R + +--R 2 2 n 3 2 2 n +--R (- b n - 1)x cos(b log(c x ) + a) - 6b n x cos(b log(c x ) + a) +--R + +--R 3 3 2 3 3 +--R ((3b n + 3b n)x cos(b n log(x) + b log(c) + a) + 6b n x) +--R * +--R sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (b n + 1)x cos(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R 6b n x cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 9b n + 10b n + 1 +--R Type: Expression Integer +--E 19 + +--S 20 of 510 +d0203:= D(m0203,x) +--R +--R +--R (20) +--R 4 4 2 2 n - 1 n n 2 +--R (6b n + 6b n )x x cos(b log(c x ) + a)sin(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 n 2 +--R ((- 3b n - 3b n)x + (3b n + 3b n)x x )cos(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 +--R - 6b n x + 6b n x x +--R * +--R n +--R sin(b log(c x ) + a) +--R + +--R 2 2 n 4 4 2 2 n - 1 n 3 +--R ((- b n - 1)x + (- 3b n - 3b n )x x )cos(b log(c x ) + a) +--R + +--R 2 2 n 4 4 n - 1 n +--R (- 6b n x - 6b n x x )cos(b log(c x ) + a) +--R + +--R 4 4 2 2 n +--R (- 6b n - 6b n )x cos(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sin(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n 3 +--R (3b n + 4b n + 1)x cos(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n +--R (6b n + 6b n )x cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 n +--R (9b n + 10b n + 1)x +--R Type: Expression Integer +--E 20 + +--S 21 of 510 +t0204:= x*cos(a+b*log(c*x^n))^3 +--R +--R +--R n 3 +--R (21) x cos(b log(c x ) + a) +--R Type: Expression Integer +--E 21 + +--S 22 of 510 +r0204:= x^2*(12*b^2*n^2*cos(a+b*log(c*x^n))+8*cos(a+b*log(c*x^n))^3+2*cos(a+b*log(c*x^n))^3*b^2*n^2+6*b^3*n^3*sin(a+b*log(c*x^n))+12*b*n*cos(a+b*log(c*x^n))^2*sin(a+b*log(c*x^n))+3*b^3*n^3*cos(a+b*log(c*x^n))^2*sin(a+b*log(c*x^n)))/(4+b^2*n^2)/(4+9*b^2*n^2) +--R +--R +--R (22) +--R 3 3 2 n 2 3 3 2 n +--R ((3b n + 12b n)x cos(b log(c x ) + a) + 6b n x )sin(b log(c x ) + a) +--R + +--R 2 2 2 n 3 2 2 2 n +--R (2b n + 8)x cos(b log(c x ) + a) + 12b n x cos(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R 9b n + 40b n + 16 +--R Type: Expression Integer +--E 22 + +--S 23 of 510 +a0204:= integrate(t0204,x) +--R +--R +--R (23) +--R 3 3 2 2 3 3 2 +--R ((3b n + 12b n)x cos(b n log(x) + b log(c) + a) + 6b n x ) +--R * +--R sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 +--R (2b n + 8)x cos(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R 12b n x cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 9b n + 40b n + 16 +--R Type: Union(Expression Integer,...) +--E 23 + +--S 24 of 510 +m0204:= a0204-r0204 +--R +--R +--R (24) +--R 3 3 2 n 2 3 3 2 n +--R ((- 3b n - 12b n)x cos(b log(c x ) + a) - 6b n x )sin(b log(c x ) + a) +--R + +--R 2 2 2 n 3 2 2 2 n +--R (- 2b n - 8)x cos(b log(c x ) + a) - 12b n x cos(b log(c x ) + a) +--R + +--R 3 3 2 2 3 3 2 +--R ((3b n + 12b n)x cos(b n log(x) + b log(c) + a) + 6b n x ) +--R * +--R sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 +--R (2b n + 8)x cos(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R 12b n x cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 9b n + 40b n + 16 +--R Type: Expression Integer +--E 24 + +--S 25 of 510 +d0204:= D(m0204,x) +--R +--R +--R (25) +--R 4 4 2 2 2 n - 1 n n 2 +--R (6b n + 24b n )x x cos(b log(c x ) + a)sin(b log(c x ) + a) +--R + +--R 3 3 n 3 3 2 n - 1 +--R ((- 6b n - 24b n)x x + (6b n + 24b n)x x ) +--R * +--R n 2 +--R cos(b log(c x ) + a) +--R + +--R 3 3 n 3 3 2 n - 1 +--R - 12b n x x + 12b n x x +--R * +--R n +--R sin(b log(c x ) + a) +--R + +--R 2 2 n 4 4 2 2 2 n - 1 n 3 +--R ((- 4b n - 16)x x + (- 3b n - 12b n )x x )cos(b log(c x ) + a) +--R + +--R 2 2 n 4 4 2 n - 1 n +--R (- 24b n x x - 6b n x x )cos(b log(c x ) + a) +--R + +--R 4 4 2 2 n +--R (- 6b n - 24b n )x x cos(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sin(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n 3 +--R (3b n + 16b n + 16)x x cos(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n +--R (6b n + 24b n )x x cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 n +--R (9b n + 40b n + 16)x +--R Type: Expression Integer +--E 25 + +--S 26 of 510 +t0205:= x^2*cos(a+b*log(c*x^n))^3 +--R +--R +--R 2 n 3 +--R (26) x cos(b log(c x ) + a) +--R Type: Expression Integer +--E 26 + +--S 27 of 510 +r0205:= 2*b^2*n^2*x^3*cos(a+b*log(c*x^n))/(1+b^2*n^2)/(9+b^2*n^2)+x^3*cos(a+b*log(c*x^n))^3/(3+3*b^2*n^2)+2/3*b^3*n^3*x^3*sin(a+b*log(c*x^n))/(1+b^2*n^2)/(9+b^2*n^2)+b*n*x^3*cos(a+b*log(c*x^n))^2*sin(a+b*log(c*x^n))/(3+3*b^2*n^2) +--R +--R +--R (27) +--R 3 3 3 n 2 3 3 3 n +--R ((b n + 9b n)x cos(b log(c x ) + a) + 2b n x )sin(b log(c x ) + a) +--R + +--R 2 2 3 n 3 2 2 3 n +--R (b n + 9)x cos(b log(c x ) + a) + 6b n x cos(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R 3b n + 30b n + 27 +--R Type: Expression Integer +--E 27 + +--S 28 of 510 +a0205:= integrate(t0205,x) +--R +--R +--R (28) +--R 3 3 3 2 3 3 3 +--R ((b n + 9b n)x cos(b n log(x) + b log(c) + a) + 2b n x ) +--R * +--R sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 3 +--R (b n + 9)x cos(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R 6b n x cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 3b n + 30b n + 27 +--R Type: Union(Expression Integer,...) +--E 28 + +--S 29 of 510 +m0205:= a0205-r0205 +--R +--R +--R (29) +--R 3 3 3 n 2 3 3 3 n +--R ((- b n - 9b n)x cos(b log(c x ) + a) - 2b n x )sin(b log(c x ) + a) +--R + +--R 2 2 3 n 3 2 2 3 n +--R (- b n - 9)x cos(b log(c x ) + a) - 6b n x cos(b log(c x ) + a) +--R + +--R 3 3 3 2 3 3 3 +--R ((b n + 9b n)x cos(b n log(x) + b log(c) + a) + 2b n x ) +--R * +--R sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 3 +--R (b n + 9)x cos(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R 6b n x cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R 3b n + 30b n + 27 +--R Type: Expression Integer +--E 29 + +--S 30 of 510 +d0205:= D(m0205,x) +--R +--R +--R (30) +--R 4 4 2 2 3 n - 1 n n 2 +--R (2b n + 18b n )x x cos(b log(c x ) + a)sin(b log(c x ) + a) +--R + +--R 3 3 2 n 3 3 3 n - 1 +--R ((- 3b n - 27b n)x x + (3b n + 27b n)x x ) +--R * +--R n 2 +--R cos(b log(c x ) + a) +--R + +--R 3 3 2 n 3 3 3 n - 1 +--R - 6b n x x + 6b n x x +--R * +--R n +--R sin(b log(c x ) + a) +--R + +--R 2 2 2 n 4 4 2 2 3 n - 1 n 3 +--R ((- 3b n - 27)x x + (- b n - 9b n )x x )cos(b log(c x ) + a) +--R + +--R 2 2 2 n 4 4 3 n - 1 n +--R (- 18b n x x - 2b n x x )cos(b log(c x ) + a) +--R + +--R 4 4 2 2 2 n +--R (- 2b n - 18b n )x x cos(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sin(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 n 3 +--R (b n + 12b n + 27)x x cos(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 n +--R (2b n + 18b n )x x cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 n +--R (3b n + 30b n + 27)x +--R Type: Expression Integer +--E 30 + +--S 31 of 510 +t0206:= cos(a+b*log(c*x^n))^3/x^2 +--R +--R +--R n 3 +--R cos(b log(c x ) + a) +--R (31) --------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 31 + +--S 32 of 510 +r0206:= -1/(1+b^2*n^2)/(1+9*b^2*n^2)/x*(6*b^2*n^2*cos(a+b*log(c*x^n))+cos(a+b*log(c*x^n))^3+cos(a+b*log(c*x^n))^3*b^2*n^2-6*b^3*n^3*sin(a+b*log(c*x^n))-3*b*n*cos(a+b*log(c*x^n))^2*sin(a+b*log(c*x^n))-3*b^3*n^3*cos(a+b*log(c*x^n))^2*sin(a+b*log(c*x^n))) +--R +--R +--R (32) +--R 3 3 n 2 3 3 n +--R ((3b n + 3b n)cos(b log(c x ) + a) + 6b n )sin(b log(c x ) + a) +--R + +--R 2 2 n 3 2 2 n +--R (- b n - 1)cos(b log(c x ) + a) - 6b n cos(b log(c x ) + a) +--R / +--R 4 4 2 2 +--R (9b n + 10b n + 1)x +--R Type: Expression Integer +--E 32 + +--S 33 of 510 +a0206:= integrate(t0206,x) +--R +--R +--R (33) +--R 3 3 2 3 3 +--R ((3b n + 3b n)cos(b n log(x) + b log(c) + a) + 6b n ) +--R * +--R sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (- b n - 1)cos(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R - 6b n cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R (9b n + 10b n + 1)x +--R Type: Union(Expression Integer,...) +--E 33 + +--S 34 of 510 +m0206:= a0206-r0206 +--R +--R +--R (34) +--R 3 3 n 2 3 3 n +--R ((- 3b n - 3b n)cos(b log(c x ) + a) - 6b n )sin(b log(c x ) + a) +--R + +--R 2 2 n 3 2 2 n +--R (b n + 1)cos(b log(c x ) + a) + 6b n cos(b log(c x ) + a) +--R + +--R 3 3 2 3 3 +--R ((3b n + 3b n)cos(b n log(x) + b log(c) + a) + 6b n ) +--R * +--R sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 3 +--R (- b n - 1)cos(b n log(x) + b log(c) + a) +--R + +--R 2 2 +--R - 6b n cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 +--R (9b n + 10b n + 1)x +--R Type: Expression Integer +--E 34 + +--S 35 of 510 +d0206:= D(m0206,x) +--R +--R +--R (35) +--R 4 4 2 2 n - 1 n n 2 +--R (6b n + 6b n )x x cos(b log(c x ) + a)sin(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 n 2 +--R ((3b n + 3b n)x + (- 3b n - 3b n)x x )cos(b log(c x ) + a) +--R + +--R 3 3 n 3 3 n - 1 +--R 6b n x - 6b n x x +--R * +--R n +--R sin(b log(c x ) + a) +--R + +--R 2 2 n 4 4 2 2 n - 1 n 3 +--R ((- b n - 1)x + (- 3b n - 3b n )x x )cos(b log(c x ) + a) +--R + +--R 2 2 n 4 4 n - 1 n +--R (- 6b n x - 6b n x x )cos(b log(c x ) + a) +--R + +--R 4 4 2 2 n +--R (- 6b n - 6b n )x cos(b n log(x) + b log(c) + a) +--R * +--R 2 +--R sin(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n 3 +--R (3b n + 4b n + 1)x cos(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 n +--R (6b n + 6b n )x cos(b n log(x) + b log(c) + a) +--R / +--R 4 4 2 2 2 n +--R (9b n + 10b n + 1)x x +--R Type: Expression Integer +--E 35 + +--S 36 of 510 +t0207:= x^m*cos(a+b*log(c*x^n))^3 +--R +--R +--R m n 3 +--R (36) x cos(b log(c x ) + a) +--R Type: Expression Integer +--E 36 + +--S 37 of 510 +r0207:= 6*b^2*(1+m)*n^2*x^(1+m)*cos(a+b*log(c*x^n))/((1+m)^2+b^2*n^2)/((1+m)^2+9*b^2*n^2)+(1+m)*x^(1+m)*cos(a+b*log(c*x^n))^3/((1+m)^2+9*b^2*n^2)+6*b^3*n^3*x^(1+m)*sin(a+b*log(c*x^n))/((1+m)^2+b^2*n^2)/((1+m)^2+9*b^2*n^2)+3*b*n*x^(1+m)*cos(a+b*log(c*x^n))^2*sin(a+b*log(c*x^n))/((1+m)^2+9*b^2*n^2) +--R +--R +--R (37) +--R 3 3 2 m + 1 n 2 +--R (3b n + (3b m + 6b m + 3b)n)x cos(b log(c x ) + a) +--R + +--R 3 3 m + 1 +--R 6b n x +--R * +--R n +--R sin(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 cos(b log(c x ) + a) +--R + +--R 2 2 2 m + 1 n +--R (6b m + 6b )n x cos(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 37 + +--S 38 of 510 +a0207:= integrate(t0207,x) +--R +--R +--R (38) +--R 3 3 2 2 +--R (3b n + (3b m + 6b m + 3b)n)x cos(b n log(x) + b log(c) + a) +--R + +--R 3 3 +--R 6b n x +--R * +--R m log(x) +--R %e sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 3 +--R ((b m + b )n + m + 3m + 3m + 1)x cos(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (6b m + 6b )n x cos(b n log(x) + b log(c) + a) +--R * +--R m log(x) +--R %e +--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: Union(Expression Integer,...) +--E 38 + +--S 39 of 510 +m0207:= a0207-r0207 +--R +--R +--R (39) +--R 3 3 2 m + 1 n 2 +--R (- 3b n + (- 3b m - 6b m - 3b)n)x cos(b log(c x ) + a) +--R + +--R 3 3 m + 1 +--R - 6b n x +--R * +--R n +--R sin(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 cos(b log(c x ) + a) +--R + +--R 2 2 2 m + 1 n +--R (- 6b m - 6b )n x cos(b log(c x ) + a) +--R + +--R 3 3 2 2 +--R (3b n + (3b m + 6b m + 3b)n)x cos(b n log(x) + b log(c) + a) +--R + +--R 3 3 +--R 6b n x +--R * +--R m log(x) +--R %e sin(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 3 2 3 +--R ((b m + b )n + m + 3m + 3m + 1)x cos(b n log(x) + b log(c) + a) +--R + +--R 2 2 2 +--R (6b m + 6b )n x cos(b n log(x) + b log(c) + a) +--R * +--R m log(x) +--R %e +--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 39 + +--S 40 of 510 +d0207:= D(m0207,x) +--R +--R +--R (40) +--R 4 4 2 2 2 2 2 m + 1 n - 1 n +--R (6b n + (6b m + 12b m + 6b )n )x x cos(b log(c x ) + a) +--R * +--R n 2 +--R sin(b log(c x ) + a) +--R + +--R 3 3 3 3 2 m n +--R ((- 3b m - 3b )n + (- 3b m - 9b m - 9b m - 3b)n)x x +--R + +--R 3 3 3 3 2 m + 1 n - 1 +--R ((3b m + 3b )n + (3b m + 9b m + 9b m + 3b)n)x x +--R * +--R n 2 +--R cos(b log(c x ) + a) +--R + +--R 3 3 3 m n 3 3 3 m + 1 n - 1 +--R (- 6b m - 6b )n x x + (6b m + 6b )n x x +--R * +--R n +--R sin(b log(c x ) + a) +--R + +--R 2 2 2 2 2 4 3 2 m n +--R ((- b m - 2b m - b )n - m - 4m - 6m - 4m - 1)x x +--R + +--R 4 4 2 2 2 2 2 m + 1 n - 1 +--R (- 3b n + (- 3b m - 6b m - 3b )n )x x +--R * +--R n 3 +--R cos(b log(c x ) + a) +--R + +--R 2 2 2 2 2 m n 4 4 m + 1 n - 1 n +--R ((- 6b m - 12b m - 6b )n x x - 6b n x x )cos(b log(c x ) + a) +--R + +--R 4 4 2 2 2 2 2 n +--R (- 6b n + (- 6b m - 12b m - 6b )n )x cos(b n log(x) + b log(c) + a) +--R * +--R m log(x) 2 +--R %e sin(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 2 2 4 3 2 n +--R (3b n + (4b m + 8b m + 4b )n + m + 4m + 6m + 4m + 1)x +--R * +--R 3 +--R cos(b n log(x) + b log(c) + a) +--R + +--R 4 4 2 2 2 2 2 n +--R (6b n + (6b m + 12b m + 6b )n )x cos(b n log(x) + b log(c) + a) +--R * +--R m log(x) +--R %e +--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 Type: Expression Integer +--E 40 + +--S 41 of 510 +t0208:= tan(a+b*x) +--R +--R +--R (41) tan(b x + a) +--R Type: Expression Integer +--E 41 + +--S 42 of 510 +r0208:= -log(cos(a+b*x))/b +--R +--R +--R log(cos(b x + a)) +--R (42) - ----------------- +--R b +--R Type: Expression Integer +--E 42 + +--S 43 of 510 +a0208:= integrate(t0208,x) +--R +--R +--R 2 +--R log(tan(b x + a) + 1) +--R (43) ---------------------- +--R 2b +--R Type: Union(Expression Integer,...) +--E 43 + +--S 44 of 510 +m0208:= a0208-r0208 +--R +--R +--R 2 +--R log(tan(b x + a) + 1) + 2log(cos(b x + a)) +--R (44) ------------------------------------------- +--R 2b +--R Type: Expression Integer +--E 44 + +--S 45 of 510 +d0208:= D(m0208,x) +--R +--R +--R cos(b x + a)tan(b x + a) - sin(b x + a) +--R (45) --------------------------------------- +--R cos(b x + a) +--R Type: Expression Integer +--E 45 + +--S 46 of 510 +t0209:= tan(a+b*x)^2 +--R +--R +--R 2 +--R (46) tan(b x + a) +--R Type: Expression Integer +--E 46 + +--S 47 of 510 +r0209:= -x+tan(a+b*x)/b +--R +--R +--R tan(b x + a) - b x +--R (47) ------------------ +--R b +--R Type: Expression Integer +--E 47 + +--S 48 of 510 +a0209:= integrate(t0209,x) +--R +--R +--R tan(b x + a) - b x +--R (48) ------------------ +--R b +--R Type: Union(Expression Integer,...) +--E 48 + +--S 49 of 510 +m0209:= a0209-r0209 +--R +--R +--R (49) 0 +--R Type: Expression Integer +--E 49 + +--S 50 of 510 +d0209:= D(m0209,x) +--R +--R +--R (50) 0 +--R Type: Expression Integer +--E 50 + +--S 51 of 510 +t0210:= x*tan(a+b*x) +--R +--R +--R (51) x tan(b x + a) +--R Type: Expression Integer +--E 51 + +--S 52 of 510 +r0210:= -1/2*(-%i*x^2*b^2+2*x*log(1+exp(2*%i*(a+b*x)))*b-%i*polylog(2,-exp(2*%i*(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 Complex 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 52 + +--S 53 of 510 +a0210:= integrate(t0210,x) +--R +--R +--R x +--R ++ +--R (52) | %H tan(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 53 + +--S 54 of 510 +m0210:= a0210-r0210 +--R +--R +--R x +--R ++ +--R (53) | %H tan(%H b + a)d%H - r0210 +--R ++ +--R Type: Expression Integer +--E 54 + +--S 55 of 510 +d0210:= D(m0210,x) +--R +--R +--R (54) x tan(b x + a) +--R Type: Expression Integer +--E 55 + +--S 56 of 510 +t0211:= x*tan(a+b*x)^3 +--R +--R +--R 3 +--R (55) x tan(b x + a) +--R Type: Expression Integer +--E 56 + +--S 57 of 510 +r0211:= -1/2*%i*x^2+x*log(1+exp(1)^(2*%i*a+2*%i*b*x))/b-1/2*%i*polylog(2,-exp(1)^(2*%i*a+2*%i*b*x))/b^2+1/2*x*sec(a+b*x)^2/b-1/2*tan(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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 57 + +--S 58 of 510 +a0211:= integrate(t0211,x) +--R +--R +--R x +--R ++ 3 +--R (56) | %H tan(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 58 + +--S 59 of 510 +m0211:= a0211-r0211 +--R +--R +--R x +--R ++ 3 +--R (57) | %H tan(%H b + a) d%H - r0211 +--R ++ +--R Type: Expression Integer +--E 59 + +--S 60 of 510 +d0211:= D(m0211,x) +--R +--R +--R 3 +--R (58) x tan(b x + a) +--R Type: Expression Integer +--E 60 + +--S 61 of 510 +t0212:= x^2*tan(a+b*x) +--R +--R +--R 2 +--R (59) x tan(b x + a) +--R Type: Expression Integer +--E 61 + +--S 62 of 510 +r0212:= -1/6*(-2*%i*x^3*b^3+6*x^2*log(1+exp(2*%i*(a+b*x)))*b^2-6*%i*x*polylog(2,-exp(2*%i*(a+b*x)))*b+3*polylog(3,-exp(2*%i*(a+b*x))))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 62 + +--S 63 of 510 +a0212:= integrate(t0212,x) +--R +--R +--R x +--R ++ 2 +--R (60) | %H tan(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 63 + +--S 64 of 510 +m0212:= a0212-r0212 +--R +--R +--R x +--R ++ 2 +--R (61) | %H tan(%H b + a)d%H - r0212 +--R ++ +--R Type: Expression Integer +--E 64 + +--S 65 of 510 +d0212:= D(m0212,x) +--R +--R +--R 2 +--R (62) x tan(b x + a) +--R Type: Expression Integer +--E 65 + +--S 66 of 510 +t0213:= x^2*tan(a+b*x)^2 +--R +--R +--R 2 2 +--R (63) x tan(b x + a) +--R Type: Expression Integer +--E 66 + +--S 67 of 510 +r0213:= 1/3*(-3*%i*x^2*b^2-b^3*x^3+6*x*log(1+exp(2*%i*(a+b*x)))*b-3*%i*polylog(2,-exp(2*%i*(a+b*x)))+3*x^2*tan(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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 67 + +--S 68 of 510 +a0213:= integrate(t0213,x) +--R +--R +--R x +--R ++ 2 2 +--R (64) | %H tan(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 68 + +--S 69 of 510 +m0213:= a0213-r0213 +--R +--R +--R x +--R ++ 2 2 +--R (65) | %H tan(%H b + a) d%H - r0213 +--R ++ +--R Type: Expression Integer +--E 69 + +--S 70 of 510 +d0213:= D(m0213,x) +--R +--R +--R 2 2 +--R (66) x tan(b x + a) +--R Type: Expression Integer +--E 70 + +--S 71 of 510 +t0214:= x^2*tan(a+b*x)^3 +--R +--R +--R 2 3 +--R (67) x tan(b x + a) +--R Type: Expression Integer +--E 71 + +--S 72 of 510 +r0214:= -1/3*%i*x^3+x^2*log(1+exp(1)^(2*%i*a+2*%i*b*x))/b-log(cos(a+b*x))/b^3-%i*x*polylog(2,-exp(1)^(2*%i*a+2*%i*b*x))/b^2+1/2*polylog(3,-exp(1)^(2*%i*a+2*%i*b*x))/b^3+1/2*x^2*sec(a+b*x)^2/b-x*tan(a+b*x)/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 72 + +--S 73 of 510 +a0214:= integrate(t0214,x) +--R +--R +--R x +--R ++ 2 3 +--R (68) | %H tan(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 73 + +--S 74 of 510 +m0214:= a0214-r0214 +--R +--R +--R x +--R ++ 2 3 +--R (69) | %H tan(%H b + a) d%H - r0214 +--R ++ +--R Type: Expression Integer +--E 74 + +--S 75 of 510 +d0214:= D(m0214,x) +--R +--R +--R 2 3 +--R (70) x tan(b x + a) +--R Type: Expression Integer +--E 75 + +--S 76 of 510 +t0215:= x^3*tan(a+b*x) +--R +--R +--R 3 +--R (71) x tan(b x + a) +--R Type: Expression Integer +--E 76 + +--S 77 of 510 +r0215:= -1/4*(-%i*x^4*b^4+4*x^3*log(1+exp(2*%i*(a+b*x)))*b^3-6*%i*x^2*polylog(2,-exp(2*%i*(a+b*x)))*b^2+6*x*polylog(3,-exp(2*%i*(a+b*x)))*b+3*%i*polylog(4,-exp(2*%i*(a+b*x))))/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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 77 + +--S 78 of 510 +a0215:= integrate(t0215,x) +--R +--R +--R x +--R ++ 3 +--R (72) | %H tan(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 78 + +--S 79 of 510 +m0215:= a0215-r0215 +--R +--R +--R x +--R ++ 3 +--R (73) | %H tan(%H b + a)d%H - r0215 +--R ++ +--R Type: Expression Integer +--E 79 + +--S 80 of 510 +d0215:= D(m0215,x) +--R +--R +--R 3 +--R (74) x tan(b x + a) +--R Type: Expression Integer +--E 80 + +--S 81 of 510 +t0216:= x^3*tan(a+b*x)^2 +--R +--R +--R 3 2 +--R (75) x tan(b x + a) +--R Type: Expression Integer +--E 81 + +--S 82 of 510 +r0216:= 1/4*(-4*%i*x^3*b^3-x^4*b^4+12*x^2*log(1+exp(2*%i*(a+b*x)))*b^2-12*%i*x*polylog(2,-exp(2*%i*(a+b*x)))*b+6*polylog(3,-exp(2*%i*(a+b*x)))+4*x^3*tan(a+b*x)*b^3)/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 82 + +--S 83 of 510 +a0216:= integrate(t0216,x) +--R +--R +--R x +--R ++ 3 2 +--R (76) | %H tan(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 83 + +--S 84 of 510 +m0216:= a0216-r0216 +--R +--R +--R x +--R ++ 3 2 +--R (77) | %H tan(%H b + a) d%H - r0216 +--R ++ +--R Type: Expression Integer +--E 84 + +--S 85 of 510 +d0216:= D(m0216,x) +--R +--R +--R 3 2 +--R (78) x tan(b x + a) +--R Type: Expression Integer +--E 85 + +--S 86 of 510 +t0217:= x^3*tan(a+b*x)^3 +--R +--R +--R 3 3 +--R (79) x tan(b x + a) +--R Type: Expression Integer +--E 86 + +--S 87 of 510 +r0217:= 3/2*%i*x^2/b^2-1/4*%i*x^4-3*x*log(1+exp(1)^(2*%i*a+2*%i*b*x))/b^3+x^3*log(1+exp(1)^(2*%i*a+2*%i*b*x))/b+3/2*%i*(1-b^2*x^2)*polylog(2,-exp(1)^(2*%i*a+2*%i*b*x))/b^4+3/2*x*polylog(3,-exp(1)^(2*%i*a+2*%i*b*x))/b^3+3/4*%i*polylog(4,-exp(1)^(2*%i*a+2*%i*b*x))/b^4+1/2*x^3*sec(a+b*x)^2/b-3/2*x^2*tan(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 Complex 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 87 + +--S 88 of 510 +a0217:= integrate(t0217,x) +--R +--R +--R x +--R ++ 3 3 +--R (80) | %H tan(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 88 + +--S 89 of 510 +m0217:= a0217-r0217 +--R +--R +--R x +--R ++ 3 3 +--R (81) | %H tan(%H b + a) d%H - r0217 +--R ++ +--R Type: Expression Integer +--E 89 + +--S 90 of 510 +d0217:= D(m0217,x) +--R +--R +--R 3 3 +--R (82) x tan(b x + a) +--R Type: Expression Integer +--E 90 + +--S 91 of 510 +t0218:= (a*tan(x)^2)^(1/2) +--R +--R +--R +---------+ +--R | 2 +--R (83) \|a tan(x) +--R Type: Expression Integer +--E 91 + +--S 92 of 510 +r0218:= -cot(x)*log(cos(x))*(a*tan(x)^2)^(1/2) +--R +--R +--R +---------+ +--R | 2 +--R (84) - cot(x)log(cos(x))\|a tan(x) +--R Type: Expression Integer +--E 92 + +--S 93 of 510 +a0218:= integrate(t0218,x) +--R +--R +--R +-+ 2 +--R \|a log(tan(x) + 1) +--R (85) -------------------- +--R 2 +--R Type: Union(Expression Integer,...) +--E 93 + +--S 94 of 510 +m0218:= a0218-r0218 +--R +--R +--R +---------+ +--R | 2 +-+ 2 +--R 2cot(x)log(cos(x))\|a tan(x) + \|a log(tan(x) + 1) +--R (86) ----------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 94 + +--S 95 of 510 +d0218:= D(m0218,x) +--R +--R +--R (87) +--R +---------+ +--R +-+ | 2 +--R cos(x)tan(x)\|a \|a tan(x) +--R + +--R 3 2 2 +--R a cos(x)cot(x)tan(x) + (- a cos(x)cot(x) - a cos(x))tan(x) +--R + +--R a cos(x)cot(x)tan(x) +--R * +--R log(cos(x)) +--R + +--R 2 +--R - a cot(x)sin(x)tan(x) +--R / +--R +---------+ +--R | 2 +--R cos(x)\|a tan(x) +--R Type: Expression Integer +--E 95 + +--S 96 of 510 +t0219:= (a*tan(x)^3)^(1/2) +--R +--R +--R +---------+ +--R | 3 +--R (88) \|a tan(x) +--R Type: Expression Integer +--E 96 + +--S 97 of 510 +r0219:= -1/4*(2*2^(1/2)*atan(-1+2^(1/2)*tan(x)^(1/2))+2*2^(1/2)*atan(1+2^(1/2)*tan(x)^(1/2))-log(1-2^(1/2)*tan(x)^(1/2)+tan(x))*2^(1/2)+log(1+2^(1/2)*tan(x)^(1/2)+tan(x))*2^(1/2)-8*tan(x)^(1/2))*(a*tan(x)^3)^(1/2)/tan(x)^(3/2) +--R +--R +--R (89) +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R - \|2 \|a tan(x) log(\|2 \|tan(x) + tan(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R \|2 \|a tan(x) log(- \|2 \|tan(x) + tan(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R - 2\|2 \|a tan(x) atan(\|2 \|tan(x) + 1) +--R + +--R +---------+ +---------+ +--R +-+ | 3 +-+ +------+ +------+ | 3 +--R - 2\|2 \|a tan(x) atan(\|2 \|tan(x) - 1) + 8\|tan(x) \|a tan(x) +--R / +--R +------+ +--R 4tan(x)\|tan(x) +--R Type: Expression Integer +--E 97 + +--S 98 of 510 +a0219:= integrate(t0219,x) +--R +--R +--R >> System error: +--R Cannot take first of an empty list +--R +--R Continuing to read the file... +--R +--E 98 + +--S 99 of 510 +m0219:= a0219-r0219 +--R +--R +--R (90) +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R \|2 \|a tan(x) log(\|2 \|tan(x) + tan(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R - \|2 \|a tan(x) log(- \|2 \|tan(x) + tan(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R 2\|2 \|a tan(x) atan(\|2 \|tan(x) + 1) +--R + +--R +---------+ +---------+ +--R +-+ | 3 +-+ +------+ +------+ | 3 +--R 2\|2 \|a tan(x) atan(\|2 \|tan(x) - 1) - 8\|tan(x) \|a tan(x) +--R + +--R +------+ +--R 4a0219 tan(x)\|tan(x) +--R / +--R +------+ +--R 4tan(x)\|tan(x) +--R Type: Expression Integer +--E 99 + +--S 100 of 510 +d0219:= D(m0219,x) +--R +--R +--R 3 +--R a tan(x) +--R (91) - ------------ +--R +---------+ +--R | 3 +--R \|a tan(x) +--R Type: Expression Integer +--E 100 + +--S 101 of 510 +t0220:= (a*tan(x)^3)^(3/2) +--R +--R +--R +---------+ +--R 3 | 3 +--R (92) a tan(x) \|a tan(x) +--R Type: Expression Integer +--E 101 + +--S 102 of 510 +r0220:= 1/84*a*(a*tan(x)^3)^(1/2)*(42*2^(1/2)*atan(-1+2^(1/2)*tan(x)^(1/2))+42*2^(1/2)*atan(1+2^(1/2)*tan(x)^(1/2))+21*log(1-2^(1/2)*tan(x)^(1/2)+tan(x))*2^(1/2)-21*log(1+2^(1/2)*tan(x)^(1/2)+tan(x))*2^(1/2)-56*tan(x)^(3/2)+24*tan(x)^(7/2))/tan(x)^(3/2) +--R +--R +--R (93) +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R - 21a\|2 \|a tan(x) log(\|2 \|tan(x) + tan(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R 21a\|2 \|a tan(x) log(- \|2 \|tan(x) + tan(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R 42a\|2 \|a tan(x) atan(\|2 \|tan(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R 42a\|2 \|a tan(x) atan(\|2 \|tan(x) - 1) +--R + +--R +---------+ +--R 3 +------+ | 3 +--R (24a tan(x) - 56a tan(x))\|tan(x) \|a tan(x) +--R / +--R +------+ +--R 84tan(x)\|tan(x) +--R Type: Expression Integer +--E 102 + +--S 103 of 510 +a0220:= integrate(t0220,x) +--R +--R +--R (94) +--R 2 7 2 5 2 3 2 +--R (19712a cos(x) - 25984a cos(x) + 3724a cos(x) + 294a cos(x))sin(x) +--R + +--R 2 10 2 8 2 6 2 4 +--R - 10240a cos(x) + 26112a cos(x) - 9664a cos(x) - 8536a cos(x) +--R + +--R 2 2 2 +--R 2182a cos(x) + 6a +--R * +--R +--------+ +--R |a sin(x) +--R |-------- +--R \| cos(x) +--R + +--R 2 +-+ 9 2 +-+ 7 2 +-+ 5 +--R 5120a \|2 cos(x) - 21632a \|2 cos(x) + 17824a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ +--R - 150a \|2 cos(x) - 672a \|2 cos(x) +--R * +--R sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R 5120a \|2 cos(x) - 4480a \|2 cos(x) - 12768a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 2 2 +-+ +--R 14686a \|2 cos(x) - 2506a \|2 cos(x) - 42a \|2 +--R * +--R +-+ +--R \|a +--R / +--R +-+ 9 +-+ 7 +-+ 5 +--R (10752\|2 cos(x) - 10752\|2 cos(x) - 2352\|2 cos(x) )sin(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 9408\|2 cos(x) - 9408\|2 cos(x) - 147\|2 cos(x) +--R * +--R +--------+ +--R +-+ |a sin(x) +--R \|a |-------- +--R \| cos(x) +--R + +--R 9 7 5 3 +--R (- 10752a cos(x) + 4032a cos(x) + 7728a cos(x) + 21a cos(x) )sin(x) +--R + +--R 10 8 6 4 +--R 10752a cos(x) - 28224a cos(x) + 16464a cos(x) + 1029a cos(x) +--R Type: Union(Expression Integer,...) +--E 103 + +--S 104 of 510 +m0220:= a0220-r0220 +--R +--R +--R (95) +--R 9 7 5 +--R (21504a cos(x) - 21504a cos(x) - 4704a cos(x) )sin(x) +--R + +--R 8 6 4 +--R 18816a cos(x) - 18816a cos(x) - 294a cos(x) +--R * +--R +--------+ +--R +-+ |a sin(x) +--R \|a |-------- +--R \| cos(x) +--R + +--R 2 +-+ 9 2 +-+ 7 2 +-+ 5 +--R - 10752a \|2 cos(x) + 4032a \|2 cos(x) + 7728a \|2 cos(x) +--R + +--R 2 +-+ 3 +--R 21a \|2 cos(x) +--R * +--R sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R 10752a \|2 cos(x) - 28224a \|2 cos(x) + 16464a \|2 cos(x) +--R + +--R 2 +-+ 4 +--R 1029a \|2 cos(x) +--R * +--R +---------+ +--R | 3 +-+ +------+ +--R \|a tan(x) log(\|2 \|tan(x) + tan(x) + 1) +--R + +--R 9 7 5 +--R (- 21504a cos(x) + 21504a cos(x) + 4704a cos(x) )sin(x) +--R + +--R 8 6 4 +--R - 18816a cos(x) + 18816a cos(x) + 294a cos(x) +--R * +--R +--------+ +--R +-+ |a sin(x) +--R \|a |-------- +--R \| cos(x) +--R + +--R 2 +-+ 9 2 +-+ 7 2 +-+ 5 +--R 10752a \|2 cos(x) - 4032a \|2 cos(x) - 7728a \|2 cos(x) +--R + +--R 2 +-+ 3 +--R - 21a \|2 cos(x) +--R * +--R sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R - 10752a \|2 cos(x) + 28224a \|2 cos(x) - 16464a \|2 cos(x) +--R + +--R 2 +-+ 4 +--R - 1029a \|2 cos(x) +--R * +--R +---------+ +--R | 3 +-+ +------+ +--R \|a tan(x) log(- \|2 \|tan(x) + tan(x) + 1) +--R + +--R 9 7 5 +--R (- 43008a cos(x) + 43008a cos(x) + 9408a cos(x) )sin(x) +--R + +--R 8 6 4 +--R - 37632a cos(x) + 37632a cos(x) + 588a cos(x) +--R * +--R +--------+ +--R +-+ |a sin(x) +--R \|a |-------- +--R \| cos(x) +--R + +--R 2 +-+ 9 2 +-+ 7 2 +-+ 5 +--R 21504a \|2 cos(x) - 8064a \|2 cos(x) - 15456a \|2 cos(x) +--R + +--R 2 +-+ 3 +--R - 42a \|2 cos(x) +--R * +--R sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R - 21504a \|2 cos(x) + 56448a \|2 cos(x) - 32928a \|2 cos(x) +--R + +--R 2 +-+ 4 +--R - 2058a \|2 cos(x) +--R * +--R +---------+ +--R | 3 +-+ +------+ +--R \|a tan(x) atan(\|2 \|tan(x) + 1) +--R + +--R 9 7 5 +--R (- 43008a cos(x) + 43008a cos(x) + 9408a cos(x) )sin(x) +--R + +--R 8 6 4 +--R - 37632a cos(x) + 37632a cos(x) + 588a cos(x) +--R * +--R +--------+ +--R +-+ |a sin(x) +--R \|a |-------- +--R \| cos(x) +--R + +--R 2 +-+ 9 2 +-+ 7 2 +-+ 5 +--R 21504a \|2 cos(x) - 8064a \|2 cos(x) - 15456a \|2 cos(x) +--R + +--R 2 +-+ 3 +--R - 42a \|2 cos(x) +--R * +--R sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R - 21504a \|2 cos(x) + 56448a \|2 cos(x) - 32928a \|2 cos(x) +--R + +--R 2 +-+ 4 +--R - 2058a \|2 cos(x) +--R * +--R +---------+ +--R | 3 +-+ +------+ +--R \|a tan(x) atan(\|2 \|tan(x) - 1) +--R + +--R +-+ 9 +-+ 7 +--R - 12288a\|2 cos(x) + 12288a\|2 cos(x) +--R + +--R +-+ 5 +--R 2688a\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R - 10752a\|2 cos(x) + 10752a\|2 cos(x) + 168a\|2 cos(x) +--R * +--R 3 +--R tan(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R (28672a\|2 cos(x) - 28672a\|2 cos(x) - 6272a\|2 cos(x) ) +--R * +--R sin(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 25088a\|2 cos(x) - 25088a\|2 cos(x) - 392a\|2 cos(x) +--R * +--R tan(x) +--R * +--R +--------+ +--R +-+ |a sin(x) +--R \|a |-------- +--R \| cos(x) +--R + +--R 2 9 2 7 2 5 2 3 +--R (12288a cos(x) - 4608a cos(x) - 8832a cos(x) - 24a cos(x) ) +--R * +--R sin(x) +--R + +--R 2 10 2 8 2 6 2 4 +--R - 12288a cos(x) + 32256a cos(x) - 18816a cos(x) - 1176a cos(x) +--R * +--R 3 +--R tan(x) +--R + +--R 2 9 2 7 2 5 +--R - 28672a cos(x) + 10752a cos(x) + 20608a cos(x) +--R + +--R 2 3 +--R 56a cos(x) +--R * +--R sin(x) +--R + +--R 2 10 2 8 2 6 2 4 +--R 28672a cos(x) - 75264a cos(x) + 43904a cos(x) + 2744a cos(x) +--R * +--R tan(x) +--R * +--R +---------+ +--R +------+ | 3 +--R \|tan(x) \|a tan(x) +--R + +--R 2 7 2 5 2 3 +--R 78848a cos(x) - 103936a cos(x) + 14896a cos(x) +--R + +--R 2 +--R 1176a cos(x) +--R * +--R sin(x) +--R + +--R 2 10 2 8 2 6 +--R - 40960a cos(x) + 104448a cos(x) - 38656a cos(x) +--R + +--R 2 4 2 2 2 +--R - 34144a cos(x) + 8728a cos(x) + 24a +--R * +--R +--------+ +--R |a sin(x) +--R tan(x) |-------- +--R \| cos(x) +--R + +--R 2 +-+ 9 2 +-+ 7 2 +-+ 5 +--R 20480a \|2 cos(x) - 86528a \|2 cos(x) + 71296a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ +--R - 600a \|2 cos(x) - 2688a \|2 cos(x) +--R * +--R sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R 20480a \|2 cos(x) - 17920a \|2 cos(x) - 51072a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 2 2 +-+ +--R 58744a \|2 cos(x) - 10024a \|2 cos(x) - 168a \|2 +--R * +--R +-+ +--R tan(x)\|a +--R * +--R +------+ +--R \|tan(x) +--R / +--R +-+ 9 +-+ 7 +-+ 5 +--R (43008\|2 cos(x) - 43008\|2 cos(x) - 9408\|2 cos(x) )sin(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 37632\|2 cos(x) - 37632\|2 cos(x) - 588\|2 cos(x) +--R * +--R +--------+ +--R +-+ |a sin(x) +--R tan(x)\|a |-------- +--R \| cos(x) +--R + +--R 9 7 5 +--R - 43008a cos(x) + 16128a cos(x) + 30912a cos(x) +--R + +--R 3 +--R 84a cos(x) +--R * +--R sin(x) +--R + +--R 10 8 6 4 +--R 43008a cos(x) - 112896a cos(x) + 65856a cos(x) + 4116a cos(x) +--R * +--R tan(x) +--R * +--R +------+ +--R \|tan(x) +--R Type: Expression Integer +--E 104 + +--S 105 of 510 +d0220:= D(m0220,x) +--R +--R +--R (96) +--R +-+ 13 +-+ 11 +--R 20185088a\|2 cos(x) - 53215232a\|2 cos(x) +--R + +--R +-+ 9 +-+ 7 +--R 42463232a\|2 cos(x) - 6422528a\|2 cos(x) +--R + +--R +-+ 5 +-+ 3 +--R - 1737344a\|2 cos(x) - 131712a\|2 cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 16 +-+ 14 +--R 5242880a\|2 cos(x) + 17825792a\|2 cos(x) +--R + +--R +-+ 12 +-+ 10 +--R - 42418176a\|2 cos(x) - 11026432a\|2 cos(x) +--R + +--R +-+ 8 +-+ 6 +--R 42969600a\|2 cos(x) - 9787392a\|2 cos(x) +--R + +--R +-+ 4 +-+ 2 +--R - 2428468a\|2 cos(x) - 10878a\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 17 +-+ 15 +--R 5242880a\|2 cos(x) - 17825792a\|2 cos(x) +--R + +--R +-+ 13 +-+ 11 +--R 55361536a\|2 cos(x) - 77529088a\|2 cos(x) +--R + +--R +-+ 9 +-+ 7 +--R 22661632a\|2 cos(x) + 21704704a\|2 cos(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 9367988a\|2 cos(x) - 225246a\|2 cos(x) - 294a\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 18 +-+ 16 +--R 5242880a\|2 cos(x) - 9437184a\|2 cos(x) +--R + +--R +-+ 14 +-+ 12 +--R - 16203776a\|2 cos(x) + 66830336a\|2 cos(x) +--R + +--R +-+ 10 +-+ 8 +--R - 81737216a\|2 cos(x) + 43075584a\|2 cos(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R - 7317556a\|2 cos(x) - 444542a\|2 cos(x) - 8232a\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 19 +-+ 17 +--R 5242880a\|2 cos(x) - 21233664a\|2 cos(x) +--R + +--R +-+ 15 +-+ 13 +--R 34652160a\|2 cos(x) - 29126656a\|2 cos(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 13371904a\|2 cos(x) - 3273088a\|2 cos(x) + 381388a\|2 cos(x) +--R + +--R +-+ 5 +-+ 3 +--R - 14966a\|2 cos(x) + 42a\|2 cos(x) +--R * +--R +--------+ +--R +-+ |a sin(x) +--R \|a |-------- +--R \| cos(x) +--R + +--R 2 15 2 13 2 11 +--R - 2621440a cos(x) - 45350912a cos(x) + 119726080a cos(x) +--R + +--R 2 9 2 7 2 5 +--R - 76083200a cos(x) - 5539072a cos(x) + 7667072a cos(x) +--R + +--R 2 3 2 +--R 1015574a cos(x) + 735a cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 16 2 14 2 12 +--R - 10485760a cos(x) + 29360128a cos(x) - 108036096a cos(x) +--R + +--R 2 10 2 8 2 6 +--R 208044032a cos(x) - 139740160a cos(x) + 11812864a cos(x) +--R + +--R 2 4 2 2 2 +--R 8758232a cos(x) + 131694a cos(x) + 21a +--R * +--R 3 +--R sin(x) +--R + +--R 2 17 2 15 2 13 +--R - 5242880a cos(x) + 9961472a cos(x) - 147456a cos(x) +--R + +--R 2 11 2 9 2 7 +--R - 43655168a cos(x) + 90682880a cos(x) - 67244800a cos(x) +--R + +--R 2 5 2 3 2 +--R 15080492a cos(x) + 557620a cos(x) + 3381a cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 18 2 16 2 14 +--R - 10485760a cos(x) + 39845888a cos(x) - 60325888a cos(x) +--R + +--R 2 12 2 10 2 8 +--R 46333952a cos(x) - 19031040a cos(x) + 4035584a cos(x) +--R + +--R 2 6 2 4 2 2 +--R - 382760a cos(x) + 10006a cos(x) - 3a cos(x) +--R * +--R sin(x) +--R + +--R 2 19 2 17 2 15 +--R - 2621440a cos(x) + 11272192a cos(x) - 19734528a cos(x) +--R + +--R 2 13 2 11 2 9 +--R 18042880a cos(x) - 9184512a cos(x) + 2564992a cos(x) +--R + +--R 2 7 2 5 2 3 +--R - 358890a cos(x) + 19453a cos(x) - 147a cos(x) +--R * +--R +---------+ +--R | 3 +--R \|a tan(x) +--R + +--R 2 16 2 14 2 12 +--R - 11010048a cos(x) + 22020096a cos(x) - 6193152a cos(x) +--R + +--R 2 10 2 8 +--R - 4816896a cos(x) - 526848a cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 17 2 15 2 13 +--R - 5505024a cos(x) - 15138816a cos(x) + 45674496a cos(x) +--R + +--R 2 11 2 9 2 7 +--R - 17697792a cos(x) - 7367808a cos(x) - 81312a cos(x) +--R + +--R 2 5 +--R - 21a cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 18 2 16 2 14 +--R 11010048a cos(x) - 33030144a cos(x) + 11354112a cos(x) +--R + +--R 2 12 2 10 2 8 +--R 32342016a cos(x) - 20622336a cos(x) - 1053696a cos(x) +--R + +--R 2 6 +--R - 4116a cos(x) +--R * +--R sin(x) +--R + +--R 2 19 2 17 2 15 +--R - 5505024a cos(x) + 28901376a cos(x) - 54792192a cos(x) +--R + +--R 2 13 2 11 2 9 +--R 43201536a cos(x) - 10141824a cos(x) - 1613472a cos(x) +--R + +--R 2 7 +--R - 50421a cos(x) +--R * +--R +--------+ +--R 6 |a sin(x) +--R tan(x) |-------- +--R \| cos(x) +--R + +--R 2 +-+ 16 2 +-+ 14 +--R 11010048a \|2 cos(x) - 15138816a \|2 cos(x) +--R + +--R 2 +-+ 12 2 +-+ 10 +--R - 6193152a \|2 cos(x) + 8795136a \|2 cos(x) +--R + +--R 2 +-+ 8 2 +-+ 6 +--R 1752576a \|2 cos(x) + 4704a \|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 +-+ 17 2 +-+ 15 +--R - 11010048a \|2 cos(x) + 49545216a \|2 cos(x) +--R + +--R 2 +-+ 13 2 +-+ 11 +--R - 56598528a \|2 cos(x) + 6021120a \|2 cos(x) +--R + +--R 2 +-+ 9 2 +-+ 7 2 +-+ 5 +--R 11703552a \|2 cos(x) + 357504a \|2 cos(x) + 294a \|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 +-+ 16 2 +-+ 14 +--R - 9633792a \|2 cos(x) + 34922496a \|2 cos(x) +--R + +--R 2 +-+ 12 2 +-+ 10 +--R - 39889920a \|2 cos(x) + 13434624a \|2 cos(x) +--R + +--R 2 +-+ 8 2 +-+ 6 +--R 1152480a \|2 cos(x) + 14406a \|2 cos(x) +--R * +--R sin(x) +--R * +--R 6 +-+ +--R tan(x) \|a +--R / +--R 16 14 12 +--R 11010048cos(x) - 22020096cos(x) + 6193152cos(x) +--R + +--R 10 8 +--R 4816896cos(x) + 526848cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 17 15 13 +--R 5505024cos(x) + 15138816cos(x) - 45674496cos(x) +--R + +--R 11 9 7 5 +--R 17697792cos(x) + 7367808cos(x) + 81312cos(x) + 21cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 18 16 14 +--R - 11010048cos(x) + 33030144cos(x) - 11354112cos(x) +--R + +--R 12 10 8 +--R - 32342016cos(x) + 20622336cos(x) + 1053696cos(x) +--R + +--R 6 +--R 4116cos(x) +--R * +--R sin(x) +--R + +--R 19 17 15 +--R 5505024cos(x) - 28901376cos(x) + 54792192cos(x) +--R + +--R 13 11 9 7 +--R - 43201536cos(x) + 10141824cos(x) + 1613472cos(x) + 50421cos(x) +--R * +--R +--------+ +--R |a sin(x) +--R |-------- +--R \| cos(x) +--R + +--R +-+ 16 +-+ 14 +--R - 11010048\|2 cos(x) + 15138816\|2 cos(x) +--R + +--R +-+ 12 +-+ 10 +-+ 8 +--R 6193152\|2 cos(x) - 8795136\|2 cos(x) - 1752576\|2 cos(x) +--R + +--R +-+ 6 +--R - 4704\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 17 +-+ 15 +--R 11010048\|2 cos(x) - 49545216\|2 cos(x) +--R + +--R +-+ 13 +-+ 11 +--R 56598528\|2 cos(x) - 6021120\|2 cos(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 11703552\|2 cos(x) - 357504\|2 cos(x) - 294\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 16 +-+ 14 +--R 9633792\|2 cos(x) - 34922496\|2 cos(x) +--R + +--R +-+ 12 +-+ 10 +--R 39889920\|2 cos(x) - 13434624\|2 cos(x) +--R + +--R +-+ 8 +-+ 6 +--R - 1152480\|2 cos(x) - 14406\|2 cos(x) +--R * +--R sin(x) +--R * +--R +-+ +--R \|a +--R * +--R +---------+ +--R | 3 +--R \|a tan(x) +--R Type: Expression Integer +--E 105 + +--S 106 of 510 +t0221:= 1/(a*tan(x)^2)^(1/2) +--R +--R +--R 1 +--R (97) ------------ +--R +---------+ +--R | 2 +--R \|a tan(x) +--R Type: Expression Integer +--E 106 + +--S 107 of 510 +r0221:= log(sin(x))*tan(x)/(a*tan(x)^2)^(1/2) +--R +--R +--R tan(x)log(sin(x)) +--R (98) ----------------- +--R +---------+ +--R | 2 +--R \|a tan(x) +--R Type: Expression Integer +--E 107 + +--S 108 of 510 +a0221:= integrate(t0221,x) +--R +--R +--R 2 +--R - log(tan(x) + 1) + 2log(tan(x)) +--R (99) --------------------------------- +--R +-+ +--R 2\|a +--R Type: Union(Expression Integer,...) +--E 108 + +--S 109 of 510 +m0221:= a0221-r0221 +--R +--R +--R (100) +--R +---------+ +--R 2 | 2 +-+ +--R (- log(tan(x) + 1) + 2log(tan(x)))\|a tan(x) - 2tan(x)\|a log(sin(x)) +--R ------------------------------------------------------------------------ +--R +---------+ +--R +-+ | 2 +--R 2\|a \|a tan(x) +--R Type: Expression Integer +--E 109 + +--S 110 of 510 +d0221:= D(m0221,x) +--R +--R +--R +---------+ +--R +-+ | 2 2 +--R sin(x)\|a \|a tan(x) - a cos(x)tan(x) +--R (101) ---------------------------------------- +--R +---------+ +--R | 2 +--R a sin(x)tan(x)\|a tan(x) +--R Type: Expression Integer +--E 110 + +--S 111 of 510 +t0222:= 1/(a*tan(x)^3)^(1/2) +--R +--R +--R 1 +--R (102) ------------ +--R +---------+ +--R | 3 +--R \|a tan(x) +--R Type: Expression Integer +--E 111 + +--S 112 of 510 +r0222:= -1/2/(a*tan(x)^3)^(1/2)*(4-(-2^(1/2)*atan(-1+2^(1/2)*tan(x)^(1/2))-2^(1/2)*atan(1+2^(1/2)*tan(x)^(1/2))-1/2*log(1-2^(1/2)*tan(x)^(1/2)+tan(x))*2^(1/2)+1/2*log(1+2^(1/2)*tan(x)^(1/2)+tan(x))*2^(1/2))*tan(x)^(1/2))*tan(x) +--R +--R +--R (103) +--R +-+ +------+ +-+ +------+ +--R \|2 tan(x)\|tan(x) log(\|2 \|tan(x) + tan(x) + 1) +--R + +--R +-+ +------+ +-+ +------+ +--R - \|2 tan(x)\|tan(x) log(- \|2 \|tan(x) + tan(x) + 1) +--R + +--R +-+ +------+ +-+ +------+ +--R - 2\|2 tan(x)\|tan(x) atan(\|2 \|tan(x) + 1) +--R + +--R +-+ +------+ +-+ +------+ +--R - 2\|2 tan(x)\|tan(x) atan(\|2 \|tan(x) - 1) - 8tan(x) +--R / +--R +---------+ +--R | 3 +--R 4\|a tan(x) +--R Type: Expression Integer +--E 112 + +--S 113 of 510 +a0222:= integrate(t0222,x) +--R +--R +--R +--------+ +--R 2 |a sin(x) +-+ +-+ 2 +-+ +-+ +--R 2cos(x) |-------- + (- \|2 cos(x)sin(x) - \|2 cos(x) + \|2 )\|a +--R \| cos(x) +--R (104) ------------------------------------------------------------------- +--R +--------+ +--R +-+ +-+ |a sin(x) 2 +--R \|2 cos(x)sin(x)\|a |-------- - a cos(x)sin(x) + a cos(x) - a +--R \| cos(x) +--R Type: Union(Expression Integer,...) +--E 113 + +--S 114 of 510 +m0222:= a0222-r0222 +--R +--R +--R (105) +--R +--------+ +--R +-+ |a sin(x) +--R - 2cos(x)sin(x)tan(x)\|a |-------- +--R \| cos(x) +--R + +--R +-+ +-+ 2 +-+ +--R (a\|2 cos(x)sin(x) - a\|2 cos(x) + a\|2 )tan(x) +--R * +--R +------+ +-+ +------+ +--R \|tan(x) log(\|2 \|tan(x) + tan(x) + 1) +--R + +--R +--------+ +--R +-+ |a sin(x) +--R 2cos(x)sin(x)tan(x)\|a |-------- +--R \| cos(x) +--R + +--R +-+ +-+ 2 +-+ +--R (- a\|2 cos(x)sin(x) + a\|2 cos(x) - a\|2 )tan(x) +--R * +--R +------+ +-+ +------+ +--R \|tan(x) log(- \|2 \|tan(x) + tan(x) + 1) +--R + +--R +--------+ +--R +-+ |a sin(x) +--R 4cos(x)sin(x)tan(x)\|a |-------- +--R \| cos(x) +--R + +--R +-+ +-+ 2 +-+ +--R (- 2a\|2 cos(x)sin(x) + 2a\|2 cos(x) - 2a\|2 )tan(x) +--R * +--R +------+ +-+ +------+ +--R \|tan(x) atan(\|2 \|tan(x) + 1) +--R + +--R +--------+ +--R +-+ |a sin(x) +--R 4cos(x)sin(x)tan(x)\|a |-------- +--R \| cos(x) +--R + +--R +-+ +-+ 2 +-+ +--R (- 2a\|2 cos(x)sin(x) + 2a\|2 cos(x) - 2a\|2 )tan(x) +--R * +--R +------+ +-+ +------+ +--R \|tan(x) atan(\|2 \|tan(x) - 1) +--R + +--R +--------+ +--R 2 |a sin(x) +--R 8cos(x) |-------- +--R \| cos(x) +--R + +--R +-+ +-+ 2 +-+ +-+ +--R (- 4\|2 cos(x)sin(x) - 4\|2 cos(x) + 4\|2 )\|a +--R * +--R +---------+ +--R | 3 +--R \|a tan(x) +--R + +--R +--------+ +--R +-+ +-+ |a sin(x) +--R 8\|2 cos(x)sin(x)tan(x)\|a |-------- +--R \| cos(x) +--R + +--R 2 +--R (- 8a cos(x)sin(x) + 8a cos(x) - 8a)tan(x) +--R / +--R +--------+ +--R +-+ +-+ |a sin(x) 2 +--R (4\|2 cos(x)sin(x)\|a |-------- - 4a cos(x)sin(x) + 4a cos(x) - 4a) +--R \| cos(x) +--R * +--R +---------+ +--R | 3 +--R \|a tan(x) +--R Type: Expression Integer +--E 114 + +--S 115 of 510 +d0222:= D(m0222,x) +--R +--R +--R (106) +--R +-+ 2 3 +-+ 3 +-+ 2 +--R - 2\|2 cos(x) sin(x) + (- 2\|2 cos(x) - 2\|2 cos(x))sin(x) +--R + +--R +-+ 4 +-+ 5 +-+ 3 +--R - 2\|2 cos(x) sin(x) - 2\|2 cos(x) + 2\|2 cos(x) +--R * +--R +--------+ +--R +-+ |a sin(x) +--R \|a |-------- +--R \| cos(x) +--R + +--R 4 2 3 +--R a cos(x)sin(x) + (4a cos(x) + a)sin(x) +--R + +--R 3 2 4 2 +--R (2a cos(x) + 3a cos(x))sin(x) + (4a cos(x) - 3a cos(x) )sin(x) +--R + +--R 5 3 +--R a cos(x) - a cos(x) +--R * +--R +---------+ +--R | 3 +--R \|a tan(x) +--R + +--R 2 3 3 2 +--R - 2a cos(x) sin(x) - a cos(x) sin(x) +--R + +--R 4 2 5 3 +--R (2a cos(x) - 2a cos(x) )sin(x) - a cos(x) + 2a cos(x) - a cos(x) +--R * +--R +--------+ +--R |a sin(x) +--R |-------- +--R \| cos(x) +--R + +--R +-+ 2 3 +-+ 3 +-+ 2 +-+ +--R (2a\|2 cos(x) sin(x) + (- 2a\|2 cos(x) + 2a\|2 cos(x))sin(x) )\|a +--R / +--R 2 3 3 2 +--R 2a cos(x) sin(x) + a cos(x) sin(x) +--R + +--R 4 2 5 3 +--R (- 2a cos(x) + 2a cos(x) )sin(x) + a cos(x) - 2a cos(x) + a cos(x) +--R * +--R +--------+ +--R |a sin(x) +--R |-------- +--R \| cos(x) +--R + +--R +-+ 2 3 +-+ 3 +-+ 2 +-+ +--R (- 2a\|2 cos(x) sin(x) + (2a\|2 cos(x) - 2a\|2 cos(x))sin(x) )\|a +--R * +--R +---------+ +--R | 3 +--R \|a tan(x) +--R Type: Expression Integer +--E 115 + +--S 116 of 510 +t0223:= (1+%i*tan(x))^2 +--R +--R +--R 2 +--R (107) - tan(x) + 2%i tan(x) + 1 +--R Type: Expression Complex Integer +--E 116 + +--S 117 of 510 +r0223:= 2*x-2*%i*log(cos(x))-tan(x) +--R +--R +--R (108) - 2%i log(cos(x)) - tan(x) + 2x +--R Type: Expression Complex Integer +--E 117 + +--S 118 of 510 +a0223:= integrate(t0223,x) +--R +--R +--R 2 +--R (109) %i log(tan(x) + 1) - tan(x) + 2x +--R Type: Union(Expression Complex Integer,...) +--E 118 + +--S 119 of 510 +m0223:= a0223-r0223 +--R +--R +--R 2 +--R (110) %i log(tan(x) + 1) + 2%i log(cos(x)) +--R Type: Expression Complex Integer +--E 119 + +--S 120 of 510 +d0223:= D(m0223,x) +--R +--R +--R 2%i cos(x)tan(x) - 2%i sin(x) +--R (111) ----------------------------- +--R cos(x) +--R Type: Expression Complex Integer +--E 120 + +--S 121 of 510 +t0224:= 1/(1+%i*tan(x)) +--R +--R +--R %i +--R (112) - ----------- +--R tan(x) - %i +--R Type: Expression Complex Integer +--E 121 + +--S 122 of 510 +r0224:= 1/2*x+%i/(2+2*%i*tan(x)) +--R +--R +--R x tan(x) - %i x + 1 +--R (113) ------------------- +--R 2tan(x) - 2%i +--R Type: Expression Complex Integer +--E 122 + +--S 123 of 510 +a0224:= integrate(t0224,x) +--R +--R +--R >> Error detected within library code: +--R Denominator not equal to 1 +--R +--R Continuing to read the file... +--R +--E 123 + +--S 124 of 510 +m0224:= a0224-r0224 +--R +--R +--R (- x + 2a0224)tan(x) + %i x - 2%i a0224 - 1 +--R (114) ------------------------------------------- +--R 2tan(x) - 2%i +--R Type: Expression Complex Integer +--E 124 + +--S 125 of 510 +d0224:= D(m0224,x) +--R +--R +--R %i +--R (115) ----------- +--R tan(x) - %i +--R Type: Expression Complex Integer +--E 125 + +--S 126 of 510 +t0225:= (a+b*tan(x))^3 +--R +--R +--R 3 3 2 2 2 3 +--R (116) b tan(x) + 3a b tan(x) + 3a b tan(x) + a +--R Type: Expression Integer +--E 126 + +--S 127 of 510 +r0225:= a^3*x-3*a*b^2*x-3*a^2*b*log(cos(x))+b^3*log(cos(x))+3*a*b^2*tan(x)+1/2*b^3*tan(x)^2 +--R +--R +--R 3 2 3 2 2 2 3 +--R (2b - 6a b)log(cos(x)) + b tan(x) + 6a b tan(x) + (- 6a b + 2a )x +--R (117) -------------------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 127 + +--S 128 of 510 +a0225:= integrate(t0225,x) +--R +--R +--R (118) +--R 3 2 2 3 2 2 2 3 +--R (- b + 3a b)log(tan(x) + 1) + b tan(x) + 6a b tan(x) + (- 6a b + 2a )x +--R -------------------------------------------------------------------------- +--R 2 +--R Type: Union(Expression Integer,...) +--E 128 + +--S 129 of 510 +m0225:= a0225-r0225 +--R +--R +--R 3 2 2 3 2 +--R (- b + 3a b)log(tan(x) + 1) + (- 2b + 6a b)log(cos(x)) +--R (119) --------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 129 + +--S 130 of 510 +d0225:= D(m0225,x) +--R +--R +--R 3 2 3 2 +--R (- b + 3a b)cos(x)tan(x) + (b - 3a b)sin(x) +--R (120) --------------------------------------------- +--R cos(x) +--R Type: Expression Integer +--E 130 + +--S 131 of 510 +t0226:= 1/(4-6*tan(x)) +--R +--R +--R 1 +--R (121) - ----------- +--R 6tan(x) - 4 +--R Type: Expression Integer +--E 131 + +--S 132 of 510 +r0226:= 1/13*x-3/26*log(2*cos(x)-3*sin(x)) +--R +--R +--R - 3log(- 3sin(x) + 2cos(x)) + 2x +--R (122) -------------------------------- +--R 26 +--R Type: Expression Integer +--E 132 + +--S 133 of 510 +a0226:= integrate(t0226,x) +--R +--R +--R 2 +--R 3log(tan(x) + 1) - 6log(3tan(x) - 2) + 4x +--R (123) ------------------------------------------ +--R 52 +--R Type: Union(Expression Integer,...) +--E 133 + +--S 134 of 510 +m0226:= a0226-r0226 +--R +--R +--R 2 +--R 3log(tan(x) + 1) - 6log(3tan(x) - 2) + 6log(- 3sin(x) + 2cos(x)) +--R (124) ----------------------------------------------------------------- +--R 52 +--R Type: Expression Integer +--E 134 + +--S 135 of 510 +d0226:= D(m0226,x) +--R +--R +--R 3cos(x)tan(x) - 3sin(x) +--R (125) ------------------------------------------------ +--R (18sin(x) - 12cos(x))tan(x) - 12sin(x) + 8cos(x) +--R Type: Expression Integer +--E 135 + +--S 136 of 510 +t0227:= 1/(a+b*tan(x)) +--R +--R +--R 1 +--R (126) ------------ +--R b tan(x) + a +--R Type: Expression Integer +--E 136 + +--S 137 of 510 +r0227:= (a*x+b*log(a*cos(x)+b*sin(x)))/(a^2+b^2) +--R +--R +--R b log(b sin(x) + a cos(x)) + a x +--R (127) -------------------------------- +--R 2 2 +--R b + a +--R Type: Expression Integer +--E 137 + +--S 138 of 510 +a0227:= integrate(t0227,x) +--R +--R +--R 2 +--R - b log(tan(x) + 1) + 2b log(b tan(x) + a) + 2a x +--R (128) -------------------------------------------------- +--R 2 2 +--R 2b + 2a +--R Type: Union(Expression Integer,...) +--E 138 + +--S 139 of 510 +m0227:= a0227-r0227 +--R +--R +--R (129) +--R 2 +--R - b log(tan(x) + 1) + 2b log(b tan(x) + a) - 2b log(b sin(x) + a cos(x)) +--R ------------------------------------------------------------------------- +--R 2 2 +--R 2b + 2a +--R Type: Expression Integer +--E 139 + +--S 140 of 510 +d0227:= D(m0227,x) +--R +--R +--R - b cos(x)tan(x) + b sin(x) +--R (130) ----------------------------------------------------- +--R 2 2 +--R (b sin(x) + a b cos(x))tan(x) + a b sin(x) + a cos(x) +--R Type: Expression Integer +--E 140 + +--S 141 of 510 +t0228:= 1/(a+b*tan(x))^2 +--R +--R +--R 1 +--R (131) ---------------------------- +--R 2 2 2 +--R b tan(x) + 2a b tan(x) + a +--R Type: Expression Integer +--E 141 + +--S 142 of 510 +r0228:= (a^2-b^2)*x/(a^2+b^2)^2+2*a*b*log(a*cos(x)+b*sin(x))/(a^2+b^2)^2-b/(a^2+b^2)/(a+b*tan(x)) +--R +--R +--R (132) +--R 2 2 3 2 +--R (2a b tan(x) + 2a b)log(b sin(x) + a cos(x)) + (- b + a b)x tan(x) +--R + +--R 2 3 3 2 +--R (- a b + a )x - b - a b +--R / +--R 5 2 3 4 4 3 2 5 +--R (b + 2a b + a b)tan(x) + a b + 2a b + a +--R Type: Expression Integer +--E 142 + +--S 143 of 510 +a0228:= integrate(t0228,x) +--R +--R +--R (133) +--R 2 2 2 +--R (- a b tan(x) - a b)log(tan(x) + 1) +--R + +--R 2 2 3 2 +--R (2a b tan(x) + 2a b)log(b tan(x) + a) + (- b + a b)x tan(x) +--R + +--R 2 3 3 2 +--R (- a b + a )x - b - a b +--R / +--R 5 2 3 4 4 3 2 5 +--R (b + 2a b + a b)tan(x) + a b + 2a b + a +--R Type: Union(Expression Integer,...) +--E 143 + +--S 144 of 510 +m0228:= a0228-r0228 +--R +--R +--R (134) +--R 2 +--R - a b log(tan(x) + 1) + 2a b log(b tan(x) + a) +--R + +--R - 2a b log(b sin(x) + a cos(x)) +--R / +--R 4 2 2 4 +--R b + 2a b + a +--R Type: Expression Integer +--E 144 + +--S 145 of 510 +d0228:= D(m0228,x) +--R +--R +--R (135) +--R - 2a b cos(x)tan(x) + 2a b sin(x) +--R / +--R 4 2 2 3 3 3 3 +--R ((b + a b )sin(x) + (a b + a b)cos(x))tan(x) + (a b + a b)sin(x) +--R + +--R 2 2 4 +--R (a b + a )cos(x) +--R Type: Expression Integer +--E 145 + +--S 146 of 510 +t0229:= 1/(a+b*tan(x))^3 +--R +--R +--R 1 +--R (136) ------------------------------------------- +--R 3 3 2 2 2 3 +--R b tan(x) + 3a b tan(x) + 3a b tan(x) + a +--R Type: Expression Integer +--E 146 + +--S 147 of 510 +r0229:= a*(a^2-3*b^2)*x/(a^2+b^2)^3+b*(3*a^2-b^2)*log(a*cos(x)+b*sin(x))/(a^2+b^2)^3-1/2*b/(a^2+b^2)/(a+b*tan(x))^2-2*a*b/(a^2+b^2)^2/(a+b*tan(x)) +--R +--R +--R (137) +--R 5 2 3 2 4 3 2 2 3 4 +--R ((- 2b + 6a b )tan(x) + (- 4a b + 12a b )tan(x) - 2a b + 6a b) +--R * +--R log(b sin(x) + a cos(x)) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (- 6a b + 2a b )x tan(x) + ((- 12a b + 4a b)x - 4a b - 4a b )tan(x) +--R + +--R 3 2 5 5 2 3 4 +--R (- 6a b + 2a )x - b - 6a b - 5a b +--R / +--R 8 2 6 4 4 6 2 2 +--R (2b + 6a b + 6a b + 2a b )tan(x) +--R + +--R 7 3 5 5 3 7 2 6 4 4 6 2 8 +--R (4a b + 12a b + 12a b + 4a b)tan(x) + 2a b + 6a b + 6a b + 2a +--R Type: Expression Integer +--E 147 + +--S 148 of 510 +a0229:= integrate(t0229,x) +--R +--R +--R (138) +--R 5 2 3 2 4 3 2 2 3 4 +--R ((b - 3a b )tan(x) + (2a b - 6a b )tan(x) + a b - 3a b) +--R * +--R 2 +--R log(tan(x) + 1) +--R + +--R 5 2 3 2 4 3 2 2 3 4 +--R ((- 2b + 6a b )tan(x) + (- 4a b + 12a b )tan(x) - 2a b + 6a b) +--R * +--R log(b tan(x) + a) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (- 6a b + 2a b )x tan(x) + ((- 12a b + 4a b)x - 4a b - 4a b )tan(x) +--R + +--R 3 2 5 5 2 3 4 +--R (- 6a b + 2a )x - b - 6a b - 5a b +--R / +--R 8 2 6 4 4 6 2 2 +--R (2b + 6a b + 6a b + 2a b )tan(x) +--R + +--R 7 3 5 5 3 7 2 6 4 4 6 2 8 +--R (4a b + 12a b + 12a b + 4a b)tan(x) + 2a b + 6a b + 6a b + 2a +--R Type: Union(Expression Integer,...) +--E 148 + +--S 149 of 510 +m0229:= a0229-r0229 +--R +--R +--R (139) +--R 3 2 2 3 2 +--R (b - 3a b)log(tan(x) + 1) + (- 2b + 6a b)log(b tan(x) + a) +--R + +--R 3 2 +--R (2b - 6a b)log(b sin(x) + a cos(x)) +--R / +--R 6 2 4 4 2 6 +--R 2b + 6a b + 6a b + 2a +--R Type: Expression Integer +--E 149 + +--S 150 of 510 +d0229:= D(m0229,x) +--R +--R +--R (140) +--R 3 2 3 2 +--R (b - 3a b)cos(x)tan(x) + (- b + 3a b)sin(x) +--R / +--R 6 2 4 4 2 5 3 3 5 +--R ((b + 2a b + a b )sin(x) + (a b + 2a b + a b)cos(x))tan(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (a b + 2a b + a b)sin(x) + (a b + 2a b + a )cos(x) +--R Type: Expression Integer +--E 150 + +--S 151 of 510 +t0230:= (a+b*tan(x))^(1/2) +--R +--R +--R +------------+ +--R (141) \|b tan(x) + a +--R Type: Expression Integer +--E 151 + +--S 152 of 510 +r0230:= b*((a-(-b^2)^(1/2))^(1/2)*atanh((a+b*tan(x))^(1/2)/(a-(-b^2)^(1/2))^(1/2))-(a+(-b^2)^(1/2))^(1/2)*atanh((a+b*tan(x))^(1/2)/(a+(-b^2)^(1/2))^(1/2)))/(-b^2)^(1/2) +--R +--R +--R (142) +--R +-------------+ +--R | +----+ +------------+ +--R | | 2 \|b tan(x) + a +--R b\|- \|- b + a atanh(----------------) +--R +-------------+ +--R | +----+ +--R | | 2 +--R \|- \|- b + a +--R + +--R +-----------+ +--R | +----+ +------------+ +--R | | 2 \|b tan(x) + a +--R - b\|\|- b + a atanh(---------------) +--R +-----------+ +--R | +----+ +--R | | 2 +--R \|\|- b + a +--R / +--R +----+ +--R | 2 +--R \|- b +--R Type: Expression Integer +--E 152 + +--S 153 of 510 +a0230:= integrate(t0230,x) +--R +--R +--R >> Error detected within library code: +--R ker2trigs: cannot convert kernel to gaussian function +--R +--R Continuing to read the file... +--R +--E 153 + +--S 154 of 510 +m0230:= a0230-r0230 +--R +--R +--R (143) +--R +-------------+ +--R | +----+ +------------+ +--R | | 2 \|b tan(x) + a +--R - b\|- \|- b + a atanh(----------------) +--R +-------------+ +--R | +----+ +--R | | 2 +--R \|- \|- b + a +--R + +--R +-----------+ +--R | +----+ +------------+ +----+ +--R | | 2 \|b tan(x) + a | 2 +--R b\|\|- b + a atanh(---------------) + a0230\|- b +--R +-----------+ +--R | +----+ +--R | | 2 +--R \|\|- b + a +--R / +--R +----+ +--R | 2 +--R \|- b +--R Type: Expression Integer +--E 154 + +--S 155 of 510 +d0230:= D(m0230,x) +--R +--R +--R - b tan(x) - a +--R (144) --------------- +--R +------------+ +--R \|b tan(x) + a +--R Type: Expression Integer +--E 155 + +--S 156 of 510 +t0231:= 1/(a+b*tan(x))^(1/2) +--R +--R +--R 1 +--R (145) --------------- +--R +------------+ +--R \|b tan(x) + a +--R Type: Expression Integer +--E 156 + +--S 157 of 510 +r0231:= b*atanh((a+b*tan(x))^(1/2)/(a-(-b^2)^(1/2))^(1/2))/(-b^2)^(1/2)/(a-(-b^2)^(1/2))^(1/2)-b*atanh((a+b*tan(x))^(1/2)/(a+(-b^2)^(1/2))^(1/2))/(-b^2)^(1/2)/(a+(-b^2)^(1/2))^(1/2) +--R +--R +--R (146) +--R +-----------+ +--R | +----+ +------------+ +--R | | 2 \|b tan(x) + a +--R b\|\|- b + a atanh(----------------) +--R +-------------+ +--R | +----+ +--R | | 2 +--R \|- \|- b + a +--R + +--R +-------------+ +--R | +----+ +------------+ +--R | | 2 \|b tan(x) + a +--R - b\|- \|- b + a atanh(---------------) +--R +-----------+ +--R | +----+ +--R | | 2 +--R \|\|- b + a +--R / +--R +-------------+ +-----------+ +--R +----+ | +----+ | +----+ +--R | 2 | | 2 | | 2 +--R \|- b \|- \|- b + a \|\|- b + a +--R Type: Expression Integer +--E 157 + +--S 158 of 510 +a0231:= integrate(t0231,x) +--R +--R +--R >> Error detected within library code: +--R ker2trigs: cannot convert kernel to gaussian function +--R +--R Continuing to read the file... +--R +--E 158 + +--S 159 of 510 +m0231:= a0231-r0231 +--R +--R +--R (147) +--R +-----------+ +--R | +----+ +------------+ +--R | | 2 \|b tan(x) + a +--R - b\|\|- b + a atanh(----------------) +--R +-------------+ +--R | +----+ +--R | | 2 +--R \|- \|- b + a +--R + +--R +-------------+ +--R | +----+ +------------+ +--R | | 2 \|b tan(x) + a +--R b\|- \|- b + a atanh(---------------) +--R +-----------+ +--R | +----+ +--R | | 2 +--R \|\|- b + a +--R + +--R +-------------+ +-----------+ +--R +----+ | +----+ | +----+ +--R | 2 | | 2 | | 2 +--R a0231\|- b \|- \|- b + a \|\|- b + a +--R / +--R +-------------+ +-----------+ +--R +----+ | +----+ | +----+ +--R | 2 | | 2 | | 2 +--R \|- b \|- \|- b + a \|\|- b + a +--R Type: Expression Integer +--E 159 + +--S 160 of 510 +d0231:= D(m0231,x) +--R +--R +--R 1 +--R (148) - --------------- +--R +------------+ +--R \|b tan(x) + a +--R Type: Expression Integer +--E 160 + +--S 161 of 510 +t0232:= (a+b*tan(x)^2)^(1/2) +--R +--R +--R +-------------+ +--R | 2 +--R (149) \|b tan(x) + a +--R Type: Expression Integer +--E 161 + +--S 162 of 510 +r0232:= (a-b)^(1/2)*atan((a-b)^(1/2)*tan(x)/(a+b*tan(x)^2)^(1/2))+b^(1/2)*atanh(cot(x)*(a+b*tan(x)^2)^(1/2)/b^(1/2)) +--R +--R +--R +-------------+ +--R | 2 +-------+ +--R +-+ cot(x)\|b tan(x) + a +-------+ tan(x)\|- b + a +--R (150) \|b atanh(----------------------) + \|- b + a atan(----------------) +--R +-+ +-------------+ +--R \|b | 2 +--R \|b tan(x) + a +--R Type: Expression Integer +--E 162 + +--S 163 of 510 +a0232:= integrate(t0232,x) +--R +--R +--R (151) +--R [ +--R (b - a) +--R * +--R log +--R 3 +-----+ +--R ((8b - 8a)cos(x) + (- 8b + 4a)cos(x))sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (- 16b + 24a b - 8a )cos(x) + 8b +--R + +--R 2 +--R - 8a b + a +--R + +--R +-----+ +-+ +--R 2\|b - a \|b +--R * +--R log +--R 3 2 2 3 7 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 5 +--R (320b - 800a b + 640a b - 160a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 256b + 512a b - 304a b + 48a )cos(x) +--R + +--R 3 2 2 3 +--R (64b - 96a b + 36a b - 2a )cos(x) +--R * +--R +-+ +--R sin(x)\|b +--R + +--R 3 2 2 3 9 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 7 +--R (384b - 960a b + 768a b - 192a )cos(x) +--R + +--R 3 2 2 3 5 +--R (- 448b + 896a b - 528a b + 80a )cos(x) +--R + +--R 3 2 2 3 3 +--R (256b - 384a b + 144a b - 8a )cos(x) +--R + +--R 3 2 2 +--R (- 64b + 64a b - 12a b)cos(x) +--R * +--R +-----+ +--R sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 8 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (448b - 1120a b + 896a b - 224a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 576b + 1152a b - 688a b + 112a )cos(x) +--R + +--R 3 2 2 3 2 3 2 +--R (320b - 480a b + 188a b - 14a )cos(x) - 64b + 64a b +--R + +--R 2 +--R - 12a b +--R * +--R +-----+ +-+ +--R \|b - a \|b +--R + +--R 4 3 2 2 3 4 10 +--R (- 128b + 512a b - 768a b + 512a b - 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (512b - 1792a b + 2304a b - 1280a b + 256a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (- 832b + 2496a b - 2656a b + 1152a b - 160a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (704b - 1760a b + 1472a b - 448a b + 32a )cos(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (- 320b + 640a b - 388a b + 68a b - a )cos(x) + 64b +--R + +--R 3 2 2 3 +--R - 96a b + 36a b - 2a b +--R / +--R 3 2 2 3 9 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 7 +--R (- 384b + 960a b - 768a b + 192a )cos(x) +--R + +--R 3 2 2 3 5 +--R (384b - 768a b + 464a b - 80a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 128b + 192a b - 80a b + 8a )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R sin(x)\|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 4 3 2 2 3 4 10 +--R (128b - 512a b + 768a b - 512a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (- 512b + 1792a b - 2304a b + 1280a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (768b - 2304a b + 2464a b - 1088a b + 160a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- 512b + 1280a b - 1088a b + 352a b - 32a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (128b - 256a b + 160a b - 32a b + a )cos(x) +--R / +--R +-----+ +--R 4\|b - a +--R , +--R +--R (b - a) +--R * +--R log +--R 3 +-----+ +--R ((8b - 8a)cos(x) + (- 8b + 4a)cos(x))sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (- 16b + 24a b - 8a )cos(x) + 8b +--R + +--R 2 +--R - 8a b + a +--R + +--R - +--R +---+ +-----+ +--R 4\|- b \|b - a +--R * +--R atan +--R +--------------------+ +--R | 2 +--R +---+ |(- b + a)cos(x) + b +--R cos(x)sin(x)\|- b |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 +---+ +-----+ +--R cos(x) \|- b \|b - a +--R / +--R b +--R / +--R +-----+ +--R 4\|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 163 + +--S 164 of 510 +m0232a:= a0232.1-r0232 +--R +--R +--R (152) +--R (b - a) +--R * +--R log +--R 3 +-----+ +--R ((8b - 8a)cos(x) + (- 8b + 4a)cos(x))sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (- 16b + 24a b - 8a )cos(x) + 8b +--R + +--R 2 +--R - 8a b + a +--R + +--R +-----+ +-+ +--R 2\|b - a \|b +--R * +--R log +--R 3 2 2 3 7 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 5 +--R (320b - 800a b + 640a b - 160a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 256b + 512a b - 304a b + 48a )cos(x) +--R + +--R 3 2 2 3 +--R (64b - 96a b + 36a b - 2a )cos(x) +--R * +--R +-+ +--R sin(x)\|b +--R + +--R 3 2 2 3 9 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 7 +--R (384b - 960a b + 768a b - 192a )cos(x) +--R + +--R 3 2 2 3 5 +--R (- 448b + 896a b - 528a b + 80a )cos(x) +--R + +--R 3 2 2 3 3 +--R (256b - 384a b + 144a b - 8a )cos(x) +--R + +--R 3 2 2 +--R (- 64b + 64a b - 12a b)cos(x) +--R * +--R +-----+ +--R sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 8 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (448b - 1120a b + 896a b - 224a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 576b + 1152a b - 688a b + 112a )cos(x) +--R + +--R 3 2 2 3 2 3 2 +--R (320b - 480a b + 188a b - 14a )cos(x) - 64b + 64a b +--R + +--R 2 +--R - 12a b +--R * +--R +-----+ +-+ +--R \|b - a \|b +--R + +--R 4 3 2 2 3 4 10 +--R (- 128b + 512a b - 768a b + 512a b - 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (512b - 1792a b + 2304a b - 1280a b + 256a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (- 832b + 2496a b - 2656a b + 1152a b - 160a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (704b - 1760a b + 1472a b - 448a b + 32a )cos(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (- 320b + 640a b - 388a b + 68a b - a )cos(x) + 64b +--R + +--R 3 2 2 3 +--R - 96a b + 36a b - 2a b +--R / +--R 3 2 2 3 9 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 7 +--R (- 384b + 960a b - 768a b + 192a )cos(x) +--R + +--R 3 2 2 3 5 +--R (384b - 768a b + 464a b - 80a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 128b + 192a b - 80a b + 8a )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R sin(x)\|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 4 3 2 2 3 4 10 +--R (128b - 512a b + 768a b - 512a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (- 512b + 1792a b - 2304a b + 1280a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (768b - 2304a b + 2464a b - 1088a b + 160a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- 512b + 1280a b - 1088a b + 352a b - 32a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (128b - 256a b + 160a b - 32a b + a )cos(x) +--R + +--R +-------------+ +--R | 2 +--R +-----+ +-+ cot(x)\|b tan(x) + a +--R - 4\|b - a \|b atanh(----------------------) +--R +-+ +--R \|b +--R + +--R +-------+ +--R +-------+ +-----+ tan(x)\|- b + a +--R - 4\|- b + a \|b - a atan(----------------) +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R / +--R +-----+ +--R 4\|b - a +--R Type: Expression Integer +--E 164 + +--S 165 of 510 +--d0232a:= D(m0232a,x) +--E 165 + +--S 166 of 510 +m0232b:= a0232.2-r0232 +--R +--R +--R (153) +--R (b - a) +--R * +--R log +--R 3 +-----+ +--R ((8b - 8a)cos(x) + (- 8b + 4a)cos(x))sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (- 16b + 24a b - 8a )cos(x) + 8b +--R + +--R 2 +--R - 8a b + a +--R + +--R +-------------+ +--R | 2 +--R +-----+ +-+ cot(x)\|b tan(x) + a +--R - 4\|b - a \|b atanh(----------------------) +--R +-+ +--R \|b +--R + +--R - +--R +---+ +-----+ +--R 4\|- b \|b - a +--R * +--R atan +--R +--------------------+ +--R | 2 +--R +---+ |(- b + a)cos(x) + b 2 +---+ +-----+ +--R cos(x)sin(x)\|- b |-------------------- + cos(x) \|- b \|b - a +--R | 2 +--R \| cos(x) +--R ----------------------------------------------------------------- +--R b +--R + +--R +-------+ +--R +-------+ +-----+ tan(x)\|- b + a +--R - 4\|- b + a \|b - a atan(----------------) +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R / +--R +-----+ +--R 4\|b - a +--R Type: Expression Integer +--E 166 + +--S 167 of 510 +d0232b:= D(m0232b,x) +--R +--R +--R (154) +--R 4 3 2 2 3 4 +--R (- 6b + 18a b - 18a b + 6a b)cos(x) +--R + +--R 4 3 2 2 3 2 +--R (6b - 13a b + 8a b - a b)cos(x) +--R * +--R 2 4 +--R cot(x) sin(x) +--R + +--R 4 3 2 2 3 6 +--R (24b - 72a b + 72a b - 24a b)cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- 44b + 98a b - 64a b + 10a b)cos(x) +--R + +--R 4 3 2 2 2 +--R (20b - 30a b + 10a b )cos(x) +--R * +--R 2 2 +--R cot(x) sin(x) +--R + +--R 4 3 2 2 3 8 +--R (- 2b + 6a b - 6a b + 2a b)cos(x) +--R + +--R 4 3 2 2 3 6 +--R (10b - 21a b + 12a b - a b)cos(x) +--R + +--R 4 3 2 2 4 4 3 2 +--R (- 14b + 20a b - 6a b )cos(x) + (6b - 5a b )cos(x) +--R * +--R 2 +--R cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R 3 2 2 3 4 4 +--R (- 6a b + 18a b - 18a b + 6a )cos(x) +--R + +--R 3 2 2 3 4 2 +--R (6a b - 13a b + 8a b - a )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 3 4 +--R (6b - 18a b + 18a b - 6a b)cos(x) +--R + +--R 4 3 2 2 3 2 +--R (- 6b + 13a b - 8a b + a b)cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 3 4 6 +--R (24a b - 72a b + 72a b - 24a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 44a b + 98a b - 64a b + 10a )cos(x) +--R + +--R 3 2 2 3 2 +--R (20a b - 30a b + 10a b)cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 3 6 +--R (- 24b + 72a b - 72a b + 24a b)cos(x) +--R + +--R 4 3 2 2 3 4 +--R (44b - 98a b + 64a b - 10a b)cos(x) +--R + +--R 4 3 2 2 2 +--R (- 20b + 30a b - 10a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 3 4 8 +--R (- 2a b + 6a b - 6a b + 2a )cos(x) +--R + +--R 3 2 2 3 4 6 +--R (10a b - 21a b + 12a b - a )cos(x) +--R + +--R 3 2 2 3 4 3 2 2 2 +--R (- 14a b + 20a b - 6a b)cos(x) + (6a b - 5a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 3 8 +--R (2b - 6a b + 6a b - 2a b)cos(x) +--R + +--R 4 3 2 2 3 6 +--R (- 10b + 21a b - 12a b + a b)cos(x) +--R + +--R 4 3 2 2 4 4 3 2 +--R (14b - 20a b + 6a b )cos(x) + (- 6b + 5a b )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 4 3 2 2 3 5 +--R (- 20b + 60a b - 60a b + 20a b)cos(x) +--R + +--R 4 3 2 2 3 3 +--R (36b - 78a b + 48a b - 6a b)cos(x) +--R + +--R 4 3 2 2 +--R (- 16b + 24a b - 8a b )cos(x) +--R * +--R 2 3 +--R cot(x) sin(x) +--R + +--R 4 3 2 2 3 7 +--R (12b - 36a b + 36a b - 12a b)cos(x) +--R + +--R 4 3 2 2 3 5 +--R (- 40b + 86a b - 52a b + 6a b)cos(x) +--R + +--R 4 3 2 2 3 +--R (44b - 58a b + 14a b )cos(x) +--R + +--R 4 3 2 2 +--R (- 16b + 8a b + 2a b )cos(x) +--R * +--R 2 +--R cot(x) sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 3 2 2 3 4 5 +--R (- 20a b + 60a b - 60a b + 20a )cos(x) +--R + +--R 3 2 2 3 4 3 +--R (36a b - 78a b + 48a b - 6a )cos(x) +--R + +--R 3 2 2 3 +--R (- 16a b + 24a b - 8a b)cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 3 5 +--R (20b - 60a b + 60a b - 20a b)cos(x) +--R + +--R 4 3 2 2 3 3 +--R (- 36b + 78a b - 48a b + 6a b)cos(x) +--R + +--R 4 3 2 2 +--R (16b - 24a b + 8a b )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 2 3 4 7 +--R (12a b - 36a b + 36a b - 12a )cos(x) +--R + +--R 3 2 2 3 4 5 +--R (- 40a b + 86a b - 52a b + 6a )cos(x) +--R + +--R 3 2 2 3 3 +--R (44a b - 58a b + 14a b)cos(x) +--R + +--R 3 2 2 3 +--R (- 16a b + 8a b + 2a b)cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 3 7 +--R (- 12b + 36a b - 36a b + 12a b)cos(x) +--R + +--R 4 3 2 2 3 5 +--R (40b - 86a b + 52a b - 6a b)cos(x) +--R + +--R 4 3 2 2 3 +--R (- 44b + 58a b - 14a b )cos(x) +--R + +--R 4 3 2 2 +--R (16b - 8a b - 2a b )cos(x) +--R * +--R sin(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R + +--R 4 3 2 2 5 +--R (8b - 16a b + 8a b )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 16b + 20a b - 4a b )cos(x) + (8b - 4a b )cos(x) +--R * +--R 3 +--R cot(x)sin(x) +--R + +--R 4 3 2 2 7 +--R (- 24b + 48a b - 24a b )cos(x) +--R + +--R 4 3 2 2 5 +--R (40b - 60a b + 20a b )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 8b + 8a b - 2a b )cos(x) + (- 8b + 4a b )cos(x) +--R * +--R cot(x)sin(x) +--R * +--R 3 +--R tan(x) +--R + +--R 3 2 2 3 5 +--R (- 8a b + 16a b - 8a b)cos(x) +--R + +--R 3 2 2 3 3 3 2 2 +--R (16a b - 20a b + 4a b)cos(x) + (- 8a b + 4a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 5 +--R (- 8b + 16a b - 8a b )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (16b - 20a b + 4a b )cos(x) + (- 8b + 4a b )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 2 3 7 +--R (24a b - 48a b + 24a b)cos(x) +--R + +--R 3 2 2 3 5 +--R (- 40a b + 60a b - 20a b)cos(x) +--R + +--R 3 2 2 3 3 3 2 2 +--R (8a b - 8a b + 2a b)cos(x) + (8a b - 4a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 7 +--R (24b - 48a b + 24a b )cos(x) +--R + +--R 4 3 2 2 5 +--R (- 40b + 60a b - 20a b )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (8b - 8a b + 2a b )cos(x) + (8b - 4a b )cos(x) +--R * +--R sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 4 3 2 2 5 +--R (8b - 16a b + 8a b )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 16b + 20a b - 4a b )cos(x) + (8b - 4a b )cos(x) +--R * +--R 3 +--R cot(x)sin(x) +--R + +--R 4 3 2 2 7 +--R (- 24b + 48a b - 24a b )cos(x) +--R + +--R 4 3 2 2 5 +--R (40b - 60a b + 20a b )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 8b + 8a b - 2a b )cos(x) + (- 8b + 4a b )cos(x) +--R * +--R cot(x)sin(x) +--R * +--R tan(x) +--R + +--R 2 2 3 4 5 +--R (- 8a b + 16a b - 8a )cos(x) +--R + +--R 2 2 3 4 3 2 2 3 +--R (16a b - 20a b + 4a )cos(x) + (- 8a b + 4a b)cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 5 4 3 2 2 3 +--R (- 8b + 16a b - 8a b )cos(x) + (16b - 20a b + 4a b )cos(x) +--R + +--R 4 3 +--R (- 8b + 4a b )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 3 4 7 +--R (24a b - 48a b + 24a )cos(x) +--R + +--R 2 2 3 4 5 +--R (- 40a b + 60a b - 20a )cos(x) +--R + +--R 2 2 3 4 3 2 2 3 +--R (8a b - 8a b + 2a )cos(x) + (8a b - 4a b)cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 7 +--R (24b - 48a b + 24a b )cos(x) +--R + +--R 4 3 2 2 5 4 3 2 2 3 +--R (- 40b + 60a b - 20a b )cos(x) + (8b - 8a b + 2a b )cos(x) +--R + +--R 4 3 +--R (8b - 4a b )cos(x) +--R * +--R sin(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 5 4 2 3 3 2 6 +--R (24b - 72a b + 72a b - 24a b )cos(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 56b + 128a b - 88a b + 16a b )cos(x) +--R + +--R 5 4 2 3 3 2 2 5 4 2 3 +--R (40b - 64a b + 25a b - a b )cos(x) - 8b + 8a b - a b +--R * +--R 2 +--R cot(x)sin(x) +--R + +--R 5 4 2 3 3 2 8 +--R (- 8b + 24a b - 24a b + 8a b )cos(x) +--R + +--R 5 4 2 3 3 2 6 2 3 3 2 4 +--R (16b - 40a b + 32a b - 8a b )cos(x) + (- a b + a b )cos(x) +--R + +--R 5 4 2 3 2 5 4 2 3 +--R (- 16b + 24a b - 8a b )cos(x) + 8b - 8a b + a b +--R * +--R cot(x) +--R * +--R 3 +--R tan(x) +--R + +--R 4 2 3 3 2 4 6 +--R (- 24a b + 72a b - 72a b + 24a b)cos(x) +--R + +--R 4 2 3 3 2 4 4 +--R (56a b - 128a b + 88a b - 16a b)cos(x) +--R + +--R 4 2 3 3 2 4 2 4 2 3 +--R (- 40a b + 64a b - 25a b + a b)cos(x) + 8a b - 8a b +--R + +--R 3 2 +--R a b +--R * +--R 2 +--R cot(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 24b + 72a b - 72a b + 24a b )cos(x) +--R + +--R 5 4 2 3 3 2 4 +--R (56b - 128a b + 88a b - 16a b )cos(x) +--R + +--R 5 4 2 3 3 2 2 5 4 2 3 +--R (- 40b + 64a b - 25a b + a b )cos(x) + 8b - 8a b + a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 2 3 3 2 4 8 +--R (8a b - 24a b + 24a b - 8a b)cos(x) +--R + +--R 4 2 3 3 2 4 6 3 2 4 4 +--R (- 16a b + 40a b - 32a b + 8a b)cos(x) + (a b - a b)cos(x) +--R + +--R 4 2 3 3 2 2 4 2 3 3 2 +--R (16a b - 24a b + 8a b )cos(x) - 8a b + 8a b - a b +--R * +--R 2 +--R cot(x) +--R + +--R 5 4 2 3 3 2 8 +--R (8b - 24a b + 24a b - 8a b )cos(x) +--R + +--R 5 4 2 3 3 2 6 2 3 3 2 4 +--R (- 16b + 40a b - 32a b + 8a b )cos(x) + (a b - a b )cos(x) +--R + +--R 5 4 2 3 2 5 4 2 3 +--R (16b - 24a b + 8a b )cos(x) - 8b + 8a b - a b +--R * +--R 2 +--R tan(x) +--R + +--R 5 4 2 3 3 2 6 +--R (24b - 72a b + 72a b - 24a b )cos(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 56b + 128a b - 88a b + 16a b )cos(x) +--R + +--R 5 4 2 3 3 2 2 5 4 2 3 +--R (40b - 64a b + 25a b - a b )cos(x) - 8b + 8a b - a b +--R * +--R 2 +--R cot(x)sin(x) +--R + +--R 5 4 2 3 3 2 8 +--R (- 8b + 24a b - 24a b + 8a b )cos(x) +--R + +--R 5 4 2 3 3 2 6 2 3 3 2 4 +--R (16b - 40a b + 32a b - 8a b )cos(x) + (- a b + a b )cos(x) +--R + +--R 5 4 2 3 2 5 4 2 3 +--R (- 16b + 24a b - 8a b )cos(x) + 8b - 8a b + a b +--R * +--R cot(x) +--R * +--R tan(x) +--R + +--R 2 3 3 2 4 5 6 +--R (- 24a b + 72a b - 72a b + 24a )cos(x) +--R + +--R 2 3 3 2 4 5 4 +--R (56a b - 128a b + 88a b - 16a )cos(x) +--R + +--R 2 3 3 2 4 5 2 2 3 3 2 4 +--R (- 40a b + 64a b - 25a b + a )cos(x) + 8a b - 8a b + a b +--R * +--R 2 +--R cot(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- 24b + 72a b - 72a b + 24a b )cos(x) +--R + +--R 5 4 2 3 3 2 4 +--R (56b - 128a b + 88a b - 16a b )cos(x) +--R + +--R 5 4 2 3 3 2 2 5 4 2 3 +--R (- 40b + 64a b - 25a b + a b )cos(x) + 8b - 8a b + a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 3 2 4 5 8 +--R (8a b - 24a b + 24a b - 8a )cos(x) +--R + +--R 2 3 3 2 4 5 6 4 5 4 +--R (- 16a b + 40a b - 32a b + 8a )cos(x) + (a b - a )cos(x) +--R + +--R 2 3 3 2 4 2 2 3 3 2 4 +--R (16a b - 24a b + 8a b)cos(x) - 8a b + 8a b - a b +--R * +--R 2 +--R cot(x) +--R + +--R 5 4 2 3 3 2 8 +--R (8b - 24a b + 24a b - 8a b )cos(x) +--R + +--R 5 4 2 3 3 2 6 2 3 3 2 4 +--R (- 16b + 40a b - 32a b + 8a b )cos(x) + (a b - a b )cos(x) +--R + +--R 5 4 2 3 2 5 4 2 3 +--R (16b - 24a b + 8a b )cos(x) - 8b + 8a b - a b +--R / +--R 3 2 2 5 +--R (8b - 16a b + 8a b)cos(x) +--R + +--R 3 2 2 3 3 2 +--R (- 16b + 20a b - 4a b)cos(x) + (8b - 4a b )cos(x) +--R * +--R 2 3 +--R cot(x) sin(x) +--R + +--R 3 2 2 7 +--R (- 24b + 48a b - 24a b)cos(x) +--R + +--R 3 2 2 5 +--R (40b - 60a b + 20a b)cos(x) +--R + +--R 3 2 2 3 3 2 +--R (- 8b + 8a b - 2a b)cos(x) + (- 8b + 4a b )cos(x) +--R * +--R 2 +--R cot(x) sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 2 2 3 5 +--R (8a b - 16a b + 8a )cos(x) +--R + +--R 2 2 3 3 2 2 +--R (- 16a b + 20a b - 4a )cos(x) + (8a b - 4a b)cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 3 2 2 5 3 2 2 3 +--R (- 8b + 16a b - 8a b)cos(x) + (16b - 20a b + 4a b)cos(x) +--R + +--R 3 2 +--R (- 8b + 4a b )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 3 7 +--R (- 24a b + 48a b - 24a )cos(x) +--R + +--R 2 2 3 5 +--R (40a b - 60a b + 20a )cos(x) +--R + +--R 2 2 3 3 2 2 +--R (- 8a b + 8a b - 2a )cos(x) + (- 8a b + 4a b)cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 3 2 2 7 +--R (24b - 48a b + 24a b)cos(x) +--R + +--R 3 2 2 5 3 2 2 3 +--R (- 40b + 60a b - 20a b)cos(x) + (8b - 8a b + 2a b)cos(x) +--R + +--R 3 2 +--R (8b - 4a b )cos(x) +--R * +--R sin(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 4 3 2 2 3 6 +--R (24b - 72a b + 72a b - 24a b)cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- 56b + 128a b - 88a b + 16a b)cos(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (40b - 64a b + 25a b - a b)cos(x) - 8b + 8a b - a b +--R * +--R 2 2 +--R cot(x) sin(x) +--R + +--R 4 3 2 2 3 8 +--R (- 8b + 24a b - 24a b + 8a b)cos(x) +--R + +--R 4 3 2 2 3 6 2 2 3 4 +--R (16b - 40a b + 32a b - 8a b)cos(x) + (- a b + a b)cos(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (- 16b + 24a b - 8a b )cos(x) + 8b - 8a b + a b +--R * +--R 2 +--R cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R 3 2 2 3 4 6 +--R (24a b - 72a b + 72a b - 24a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 56a b + 128a b - 88a b + 16a )cos(x) +--R + +--R 3 2 2 3 4 2 3 2 2 3 +--R (40a b - 64a b + 25a b - a )cos(x) - 8a b + 8a b - a b +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 3 6 +--R (- 24b + 72a b - 72a b + 24a b)cos(x) +--R + +--R 4 3 2 2 3 4 +--R (56b - 128a b + 88a b - 16a b)cos(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 +--R (- 40b + 64a b - 25a b + a b)cos(x) + 8b - 8a b + a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 3 4 8 +--R (- 8a b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 6 3 4 4 +--R (16a b - 40a b + 32a b - 8a )cos(x) + (- a b + a )cos(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (- 16a b + 24a b - 8a b)cos(x) + 8a b - 8a b + a b +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 3 8 +--R (8b - 24a b + 24a b - 8a b)cos(x) +--R + +--R 4 3 2 2 3 6 2 2 3 4 +--R (- 16b + 40a b - 32a b + 8a b)cos(x) + (a b - a b)cos(x) +--R + +--R 4 3 2 2 2 4 3 2 2 +--R (16b - 24a b + 8a b )cos(x) - 8b + 8a b - a b +--R * +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R Type: Expression Integer +--E 167 + +--S 168 of 510 +t0233:= 1/(a+b*tan(x)^2)^(1/2) +--R +--R +--R 1 +--R (155) ---------------- +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R Type: Expression Integer +--E 168 + +--S 169 of 510 +r0233:= atan((a-b)^(1/2)*tan(x)/(a+b*tan(x)^2)^(1/2))/(a-b)^(1/2) +--R +--R +--R +-------+ +--R tan(x)\|- b + a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R (156) ---------------------- +--R +-------+ +--R \|- b + a +--R Type: Expression Integer +--E 169 + +--S 170 of 510 +a0233:= integrate(t0233,x) +--R +--R +--R (157) +--R - +--R log +--R 3 +-----+ +--R ((8b - 8a)cos(x) + (- 8b + 4a)cos(x))sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (- 16b + 24a b - 8a )cos(x) + 8b +--R + +--R 2 +--R - 8a b + a +--R / +--R +-----+ +--R 4\|b - a +--R Type: Union(Expression Integer,...) +--E 170 + +--S 171 of 510 +m0233:= a0233-r0233 +--R +--R +--R (158) +--R - +--R +-------+ +--R \|- b + a +--R * +--R log +--R 3 +-----+ +--R ((8b - 8a)cos(x) + (- 8b + 4a)cos(x))sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (- 16b + 24a b - 8a )cos(x) +--R + +--R 2 2 +--R 8b - 8a b + a +--R + +--R +-------+ +--R +-----+ tan(x)\|- b + a +--R - 4\|b - a atan(----------------) +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R / +--R +-------+ +-----+ +--R 4\|- b + a \|b - a +--R Type: Expression Integer +--E 171 + +--S 172 of 510 +d0233:= D(m0233,x) +--R +--R +--R (159) +--R 4 2 +-----+ +--R ((8b - 8a)cos(x) + (- 8b + 4a)cos(x) )sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 3 2 2 2 +--R ((- 6b + 12a b - 6a )cos(x) + (6b - 7a b + a )cos(x))sin(x) +--R + +--R 2 2 5 2 2 3 +--R (2b - 4a b + 2a )cos(x) + (- 4b + 5a b - a )cos(x) +--R + +--R 2 +--R (2b - a b)cos(x) +--R * +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R + +--R 2 2 5 2 2 3 +--R (- 8b + 16a b - 8a )cos(x) + (16b - 24a b + 8a )cos(x) +--R + +--R 2 2 +--R (- 8b + 8a b - a )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (- 16b + 20a b - 4a )cos(x) + 8b +--R + +--R - 4a b +--R * +--R +-----+ +--R sin(x)\|b - a +--R / +--R 2 2 5 2 2 3 +--R (8b - 16a b + 8a )cos(x) + (- 16b + 24a b - 8a )cos(x) +--R + +--R 2 2 +--R (8b - 8a b + a )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 2 +--R (- 8b + 16a b - 8a )cos(x) + (16b - 20a b + 4a )cos(x) - 8b +--R + +--R 4a b +--R * +--R +-----+ +--R sin(x)\|b - a +--R * +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R Type: Expression Integer +--E 172 + +--S 173 of 510 +t0234:= (-1-tan(x)^2)^(3/2) +--R +--R +--R +-------------+ +--R 2 | 2 +--R (160) (- tan(x) - 1)\|- tan(x) - 1 +--R Type: Expression Integer +--E 173 + +--S 174 of 510 +r0234:= -1/2*cos(x)*(-sec(x)^2)^(1/2)*(atanh(sin(x))+sec(x)*tan(x)) +--R +--R +--R +---------+ +--R | 2 +--R (- cos(x)atanh(sin(x)) - cos(x)sec(x)tan(x))\|- sec(x) +--R (161) -------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 174 + +--S 175 of 510 +a0234:= integrate(t0234,x) +--R +--R +--R (162) +--R +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ +--R (- \|- 1 (%e ) - 2\|- 1 (%e ) - \|- 1 ) +--R * +--R +---+ +--R x\|- 1 +---+ +--R log(%e + \|- 1 ) +--R + +--R +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ +--R (\|- 1 (%e ) + 2\|- 1 (%e ) + \|- 1 ) +--R * +--R +---+ +--R x\|- 1 +---+ +--R log(%e - \|- 1 ) +--R + +--R +---+ 3 +---+ +--R x\|- 1 x\|- 1 +--R - 2(%e ) + 2%e +--R / +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) + 4(%e ) + 2 +--R Type: Union(Expression Integer,...) +--E 175 + +--S 176 of 510 +m0234:= a0234-r0234 +--R +--R +--R (163) +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R (cos(x)(%e ) + 2cos(x)(%e ) + cos(x))atanh(sin(x)) +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R (cos(x)(%e ) + 2cos(x)(%e ) + cos(x))sec(x)tan(x) +--R * +--R +---------+ +--R | 2 +--R \|- sec(x) +--R + +--R +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ +--R (- \|- 1 (%e ) - 2\|- 1 (%e ) - \|- 1 ) +--R * +--R +---+ +--R x\|- 1 +---+ +--R log(%e + \|- 1 ) +--R + +--R +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ +--R (\|- 1 (%e ) + 2\|- 1 (%e ) + \|- 1 ) +--R * +--R +---+ +--R x\|- 1 +---+ +--R log(%e - \|- 1 ) +--R + +--R +---+ 3 +---+ +--R x\|- 1 x\|- 1 +--R - 2(%e ) + 2%e +--R / +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) + 4(%e ) + 2 +--R Type: Expression Integer +--E 176 + +--S 177 of 510 +d0234:= D(m0234,x) +--R +--R +--R (164) +--R +---+ 3 +---+ 3 +---------+ +--R +---+ x\|- 1 2 +---+ x\|- 1 | 2 +--R (- 16\|- 1 (%e ) sin(x) + 16\|- 1 (%e ) )\|- sec(x) +--R + +--R +---+ 6 +---+ 4 +--R x\|- 1 x\|- 1 +--R - cos(x)(%e ) - 3cos(x)(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R - 3cos(x)(%e ) - cos(x) +--R * +--R 2 2 +--R sec(x) sin(x) +--R + +--R +---+ 6 +---+ 4 +--R x\|- 1 x\|- 1 +--R cos(x)(%e ) + 3cos(x)(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R 3cos(x)(%e ) + cos(x) +--R * +--R 2 +--R sec(x) +--R * +--R tan(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 2 3 +--R ((%e ) + 3(%e ) + 3(%e ) + 1)sec(x) sin(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 2 +--R (- (%e ) - 3(%e ) - 3(%e ) - 1)sec(x) sin(x) +--R * +--R atanh(sin(x)) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R - 3cos(x)(%e ) - 9cos(x)(%e ) - 9cos(x)(%e ) +--R + +--R - 3cos(x) +--R * +--R 3 2 +--R sec(x) sin(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R 3cos(x)(%e ) + 9cos(x)(%e ) + 9cos(x)(%e ) +--R + +--R 3cos(x) +--R * +--R 3 +--R sec(x) +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 3 3 +--R ((%e ) + 3(%e ) + 3(%e ) + 1)sec(x) sin(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 3 +--R (- (%e ) - 3(%e ) - 3(%e ) - 1)sec(x) sin(x) +--R * +--R tan(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R - cos(x)(%e ) - 3cos(x)(%e ) - 3cos(x)(%e ) +--R + +--R - cos(x) +--R * +--R 3 2 +--R sec(x) sin(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R cos(x)(%e ) + 3cos(x)(%e ) + 3cos(x)(%e ) +--R + +--R cos(x) +--R * +--R 3 +--R sec(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 2 x\|- 1 +--R cos(x) (%e ) + 3cos(x) (%e ) + 3cos(x) (%e ) +--R + +--R 2 +--R cos(x) +--R * +--R 2 +--R sec(x) +--R / +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 2 +--R (2(%e ) + 6(%e ) + 6(%e ) + 2)sin(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R - 2(%e ) - 6(%e ) - 6(%e ) - 2 +--R * +--R +---------+ +--R | 2 +--R \|- sec(x) +--R Type: Expression Integer +--E 177 + +--S 178 of 510 +t0235:= (a+b*tan(x)^2)^(3/2) +--R +--R +--R +-------------+ +--R 2 | 2 +--R (165) (b tan(x) + a)\|b tan(x) + a +--R Type: Expression Integer +--E 178 + +--S 179 of 510 +r0235:= (a-b)^(3/2)*atan((a-b)^(1/2)*tan(x)/(a+b*tan(x)^2)^(1/2))+3/2*a*b^(1/2)*atanh(cot(x)*(a+b*tan(x)^2)^(1/2)/b^(1/2))-b^(3/2)*atanh(cot(x)*(a+b*tan(x)^2)^(1/2)/b^(1/2))+1/2*b*tan(x)*(a+b*tan(x)^2)^(1/2) +--R +--R +--R (166) +--R +-------------+ +--R | 2 +--R +-+ cot(x)\|b tan(x) + a +--R (- 2b + 3a)\|b atanh(----------------------) +--R +-+ +--R \|b +--R + +--R +-------+ +-------------+ +--R +-------+ tan(x)\|- b + a | 2 +--R (- 2b + 2a)\|- b + a atan(----------------) + b tan(x)\|b tan(x) + a +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R / +--R 2 +--R Type: Expression Integer +--E 179 + +--S 180 of 510 +a0235:= integrate(t0235,x) +--R +--R +--R (167) +--R [ +--R 3 2 2 3 5 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 3 +--R (8b - 20a b + 16a b - 4a )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R sin(x) |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (16b - 40a b + 32a b - 8a )cos(x) +--R + +--R 3 2 2 3 2 +--R (- 8b + 16a b - 9a b + a )cos(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R log +--R 2 3 2 +--R ((128b - 128a b)cos(x) + (- 128b + 64a b)cos(x))sin(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 4 +--R (128b - 256a b + 128a b)cos(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 256b + 384a b - 128a b)cos(x) + 128b - 128a b + 16a b +--R / +--R b - a +--R + +--R 2 2 5 2 2 3 +--R ((16b - 40a b + 24a )cos(x) + (- 16b + 32a b - 12a )cos(x) ) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ +-+ |(- b + a)cos(x) + b +--R sin(x)\|b - a \|b |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (16b - 56a b + 64a b - 24a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 32b + 96a b - 88a b + 24a )cos(x) +--R + +--R 3 2 2 3 2 +--R (16b - 40a b + 26a b - 3a )cos(x) +--R * +--R +-+ +--R \|b +--R * +--R log +--R 3 2 2 3 7 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 5 +--R (- 320b + 800a b - 640a b + 160a )cos(x) +--R + +--R 3 2 2 3 3 +--R (256b - 512a b + 304a b - 48a )cos(x) +--R + +--R 3 2 2 3 +--R (- 64b + 96a b - 36a b + 2a )cos(x) +--R * +--R +-+ +--R sin(x)\|b +--R + +--R 3 2 2 3 9 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 7 +--R (384b - 960a b + 768a b - 192a )cos(x) +--R + +--R 3 2 2 3 5 +--R (- 448b + 896a b - 528a b + 80a )cos(x) +--R + +--R 3 2 2 3 3 +--R (256b - 384a b + 144a b - 8a )cos(x) +--R + +--R 3 2 2 +--R (- 64b + 64a b - 12a b)cos(x) +--R * +--R +-----+ +--R sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 8 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (- 448b + 1120a b - 896a b + 224a )cos(x) +--R + +--R 3 2 2 3 4 +--R (576b - 1152a b + 688a b - 112a )cos(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 320b + 480a b - 188a b + 14a )cos(x) + 64b - 64a b +--R + +--R 2 +--R 12a b +--R * +--R +-----+ +-+ +--R \|b - a \|b +--R + +--R 4 3 2 2 3 4 10 +--R (- 128b + 512a b - 768a b + 512a b - 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (512b - 1792a b + 2304a b - 1280a b + 256a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (- 832b + 2496a b - 2656a b + 1152a b - 160a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (704b - 1760a b + 1472a b - 448a b + 32a )cos(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (- 320b + 640a b - 388a b + 68a b - a )cos(x) + 64b +--R + +--R 3 2 2 3 +--R - 96a b + 36a b - 2a b +--R / +--R 3 2 2 3 9 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 7 +--R (- 384b + 960a b - 768a b + 192a )cos(x) +--R + +--R 3 2 2 3 5 +--R (384b - 768a b + 464a b - 80a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 128b + 192a b - 80a b + 8a )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R sin(x)\|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 4 3 2 2 3 4 10 +--R (128b - 512a b + 768a b - 512a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (- 512b + 1792a b - 2304a b + 1280a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (768b - 2304a b + 2464a b - 1088a b + 160a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- 512b + 1280a b - 1088a b + 352a b - 32a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (128b - 256a b + 160a b - 32a b + a )cos(x) +--R + +--R 3 2 2 3 5 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 8b + 20a b - 16a b + 4a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 3 3 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (16b - 16a b + 2a b)cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R sin(x) |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 16b + 40a b - 32a b + 8a )cos(x) +--R + +--R 3 2 2 3 2 +--R (8b - 16a b + 9a b - a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (32b - 32a b + 6a b)cos(x) +--R + +--R 3 2 +--R - 16b + 8a b +--R * +--R +-----+ +--R \|b - a +--R / +--R 5 3 +-----+ +--R ((32b - 32a)cos(x) + (- 32b + 16a)cos(x) )sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 6 2 2 4 +--R (32b - 64a b + 32a )cos(x) + (- 64b + 96a b - 32a )cos(x) +--R + +--R 2 2 2 +--R (32b - 32a b + 4a )cos(x) +--R , +--R +--R 3 2 2 3 5 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 3 +--R (8b - 20a b + 16a b - 4a )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R sin(x) |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (16b - 40a b + 32a b - 8a )cos(x) +--R + +--R 3 2 2 3 2 +--R (- 8b + 16a b - 9a b + a )cos(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R log +--R 2 3 2 +--R ((128b - 128a b)cos(x) + (- 128b + 64a b)cos(x))sin(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 4 +--R (128b - 256a b + 128a b)cos(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 256b + 384a b - 128a b)cos(x) + 128b - 128a b + 16a b +--R / +--R b - a +--R + +--R 2 2 5 2 2 3 +--R ((32b - 80a b + 48a )cos(x) + (- 32b + 64a b - 24a )cos(x) ) +--R * +--R +--------------------+ +--R | 2 +--R +---+ +-----+ |(- b + a)cos(x) + b +--R sin(x)\|- b \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 112a b + 128a b - 48a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 64b + 192a b - 176a b + 48a )cos(x) +--R + +--R 3 2 2 3 2 +--R (32b - 80a b + 52a b - 6a )cos(x) +--R * +--R +---+ +--R \|- b +--R * +--R +--------------------+ +--R | 2 +--R +---+ |(- b + a)cos(x) + b 2 +---+ +-----+ +--R cos(x)sin(x)\|- b |-------------------- + cos(x) \|- b \|b - a +--R | 2 +--R \| cos(x) +--R atan(-----------------------------------------------------------------) +--R b +--R + +--R 3 2 2 3 5 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 8b + 20a b - 16a b + 4a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 3 3 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (16b - 16a b + 2a b)cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R sin(x) |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 16b + 40a b - 32a b + 8a )cos(x) +--R + +--R 3 2 2 3 2 +--R (8b - 16a b + 9a b - a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (32b - 32a b + 6a b)cos(x) +--R + +--R 3 2 +--R - 16b + 8a b +--R * +--R +-----+ +--R \|b - a +--R / +--R 5 3 +-----+ +--R ((32b - 32a)cos(x) + (- 32b + 16a)cos(x) )sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 6 2 2 4 +--R (32b - 64a b + 32a )cos(x) + (- 64b + 96a b - 32a )cos(x) +--R + +--R 2 2 2 +--R (32b - 32a b + 4a )cos(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 180 + +--S 181 of 510 +m0235a:= a0235.1-r0235 +--R +--R +--R (168) +--R 3 2 2 3 5 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 3 +--R (8b - 20a b + 16a b - 4a )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R sin(x) |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (16b - 40a b + 32a b - 8a )cos(x) +--R + +--R 3 2 2 3 2 +--R (- 8b + 16a b - 9a b + a )cos(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R log +--R 2 3 2 +--R ((128b - 128a b)cos(x) + (- 128b + 64a b)cos(x))sin(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 4 +--R (128b - 256a b + 128a b)cos(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 256b + 384a b - 128a b)cos(x) + 128b - 128a b + 16a b +--R / +--R b - a +--R + +--R 2 2 5 2 2 3 +--R ((16b - 40a b + 24a )cos(x) + (- 16b + 32a b - 12a )cos(x) ) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ +-+ |(- b + a)cos(x) + b +--R sin(x)\|b - a \|b |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (16b - 56a b + 64a b - 24a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 32b + 96a b - 88a b + 24a )cos(x) +--R + +--R 3 2 2 3 2 +--R (16b - 40a b + 26a b - 3a )cos(x) +--R * +--R +-+ +--R \|b +--R * +--R log +--R 3 2 2 3 7 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 5 +--R (- 320b + 800a b - 640a b + 160a )cos(x) +--R + +--R 3 2 2 3 3 +--R (256b - 512a b + 304a b - 48a )cos(x) +--R + +--R 3 2 2 3 +--R (- 64b + 96a b - 36a b + 2a )cos(x) +--R * +--R +-+ +--R sin(x)\|b +--R + +--R 3 2 2 3 9 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 7 +--R (384b - 960a b + 768a b - 192a )cos(x) +--R + +--R 3 2 2 3 5 +--R (- 448b + 896a b - 528a b + 80a )cos(x) +--R + +--R 3 2 2 3 3 +--R (256b - 384a b + 144a b - 8a )cos(x) +--R + +--R 3 2 2 +--R (- 64b + 64a b - 12a b)cos(x) +--R * +--R +-----+ +--R sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 8 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (- 448b + 1120a b - 896a b + 224a )cos(x) +--R + +--R 3 2 2 3 4 +--R (576b - 1152a b + 688a b - 112a )cos(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 320b + 480a b - 188a b + 14a )cos(x) + 64b - 64a b +--R + +--R 2 +--R 12a b +--R * +--R +-----+ +-+ +--R \|b - a \|b +--R + +--R 4 3 2 2 3 4 10 +--R (- 128b + 512a b - 768a b + 512a b - 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (512b - 1792a b + 2304a b - 1280a b + 256a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (- 832b + 2496a b - 2656a b + 1152a b - 160a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (704b - 1760a b + 1472a b - 448a b + 32a )cos(x) +--R + +--R 4 3 2 2 3 4 2 4 +--R (- 320b + 640a b - 388a b + 68a b - a )cos(x) + 64b +--R + +--R 3 2 2 3 +--R - 96a b + 36a b - 2a b +--R / +--R 3 2 2 3 9 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 7 +--R (- 384b + 960a b - 768a b + 192a )cos(x) +--R + +--R 3 2 2 3 5 +--R (384b - 768a b + 464a b - 80a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 128b + 192a b - 80a b + 8a )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R sin(x)\|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 4 3 2 2 3 4 10 +--R (128b - 512a b + 768a b - 512a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (- 512b + 1792a b - 2304a b + 1280a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (768b - 2304a b + 2464a b - 1088a b + 160a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- 512b + 1280a b - 1088a b + 352a b - 32a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (128b - 256a b + 160a b - 32a b + a )cos(x) +--R + +--R 2 2 5 2 2 3 +--R ((32b - 80a b + 48a )cos(x) + (- 32b + 64a b - 24a )cos(x) ) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ +-+ |(- b + a)cos(x) + b +--R sin(x)\|b - a \|b |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 112a b + 128a b - 48a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 64b + 192a b - 176a b + 48a )cos(x) +--R + +--R 3 2 2 3 2 +--R (32b - 80a b + 52a b - 6a )cos(x) +--R * +--R +-+ +--R \|b +--R * +--R +-------------+ +--R | 2 +--R cot(x)\|b tan(x) + a +--R atanh(----------------------) +--R +-+ +--R \|b +--R + +--R 2 2 5 2 2 3 +--R ((32b - 64a b + 32a )cos(x) + (- 32b + 48a b - 16a )cos(x) ) +--R * +--R +--------------------+ +--R | 2 +--R +-------+ +-----+ |(- b + a)cos(x) + b +--R sin(x)\|- b + a \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 96a b + 96a b - 32a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 64b + 160a b - 128a b + 32a )cos(x) +--R + +--R 3 2 2 3 2 +--R (32b - 64a b + 36a b - 4a )cos(x) +--R * +--R +-------+ +--R \|- b + a +--R * +--R +-------+ +--R tan(x)\|- b + a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R + +--R 2 5 2 3 +--R ((- 16b + 16a b)cos(x) + (16b - 8a b)cos(x) )sin(x)tan(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 6 3 2 2 4 +--R (- 16b + 32a b - 16a b)cos(x) + (32b - 48a b + 16a b)cos(x) +--R + +--R 3 2 2 2 +--R (- 16b + 16a b - 2a b)cos(x) +--R * +--R tan(x) +--R * +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R + +--R 3 2 2 3 5 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 8b + 20a b - 16a b + 4a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 3 3 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (16b - 16a b + 2a b)cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R sin(x) |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 16b + 40a b - 32a b + 8a )cos(x) +--R + +--R 3 2 2 3 2 +--R (8b - 16a b + 9a b - a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (32b - 32a b + 6a b)cos(x) +--R + +--R 3 2 +--R - 16b + 8a b +--R * +--R +-----+ +--R \|b - a +--R / +--R 5 3 +-----+ +--R ((32b - 32a)cos(x) + (- 32b + 16a)cos(x) )sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 6 2 2 4 +--R (32b - 64a b + 32a )cos(x) + (- 64b + 96a b - 32a )cos(x) +--R + +--R 2 2 2 +--R (32b - 32a b + 4a )cos(x) +--R Type: Expression Integer +--E 181 + +--S 182 of 510 +--d0235a:= D(m0235a,x) +--E 182 + +--S 183 of 510 +m0235b:= a0235.2-r0235 +--R +--R +--R (169) +--R 3 2 2 3 5 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 3 +--R (8b - 20a b + 16a b - 4a )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R sin(x) |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (16b - 40a b + 32a b - 8a )cos(x) +--R + +--R 3 2 2 3 2 +--R (- 8b + 16a b - 9a b + a )cos(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R log +--R 2 3 2 +--R ((128b - 128a b)cos(x) + (- 128b + 64a b)cos(x))sin(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 4 +--R (128b - 256a b + 128a b)cos(x) +--R + +--R 3 2 2 2 3 2 2 +--R (- 256b + 384a b - 128a b)cos(x) + 128b - 128a b + 16a b +--R / +--R b - a +--R + +--R 2 2 5 2 2 3 +--R ((32b - 80a b + 48a )cos(x) + (- 32b + 64a b - 24a )cos(x) ) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ +-+ |(- b + a)cos(x) + b +--R sin(x)\|b - a \|b |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 112a b + 128a b - 48a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 64b + 192a b - 176a b + 48a )cos(x) +--R + +--R 3 2 2 3 2 +--R (32b - 80a b + 52a b - 6a )cos(x) +--R * +--R +-+ +--R \|b +--R * +--R +-------------+ +--R | 2 +--R cot(x)\|b tan(x) + a +--R atanh(----------------------) +--R +-+ +--R \|b +--R + +--R 2 2 5 2 2 3 +--R ((32b - 80a b + 48a )cos(x) + (- 32b + 64a b - 24a )cos(x) ) +--R * +--R +--------------------+ +--R | 2 +--R +---+ +-----+ |(- b + a)cos(x) + b +--R sin(x)\|- b \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 112a b + 128a b - 48a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 64b + 192a b - 176a b + 48a )cos(x) +--R + +--R 3 2 2 3 2 +--R (32b - 80a b + 52a b - 6a )cos(x) +--R * +--R +---+ +--R \|- b +--R * +--R +--------------------+ +--R | 2 +--R +---+ |(- b + a)cos(x) + b 2 +---+ +-----+ +--R cos(x)sin(x)\|- b |-------------------- + cos(x) \|- b \|b - a +--R | 2 +--R \| cos(x) +--R atan(-----------------------------------------------------------------) +--R b +--R + +--R 2 2 5 2 2 3 +--R ((32b - 64a b + 32a )cos(x) + (- 32b + 48a b - 16a )cos(x) ) +--R * +--R +--------------------+ +--R | 2 +--R +-------+ +-----+ |(- b + a)cos(x) + b +--R sin(x)\|- b + a \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 96a b + 96a b - 32a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 64b + 160a b - 128a b + 32a )cos(x) +--R + +--R 3 2 2 3 2 +--R (32b - 64a b + 36a b - 4a )cos(x) +--R * +--R +-------+ +--R \|- b + a +--R * +--R +-------+ +--R tan(x)\|- b + a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R + +--R 2 5 2 3 +--R ((- 16b + 16a b)cos(x) + (16b - 8a b)cos(x) )sin(x)tan(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 6 3 2 2 4 +--R (- 16b + 32a b - 16a b)cos(x) + (32b - 48a b + 16a b)cos(x) +--R + +--R 3 2 2 2 +--R (- 16b + 16a b - 2a b)cos(x) +--R * +--R tan(x) +--R * +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R + +--R 3 2 2 3 5 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 8b + 20a b - 16a b + 4a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 3 3 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (16b - 16a b + 2a b)cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R sin(x) |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 16b + 40a b - 32a b + 8a )cos(x) +--R + +--R 3 2 2 3 2 +--R (8b - 16a b + 9a b - a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 4 3 2 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (32b - 32a b + 6a b)cos(x) +--R + +--R 3 2 +--R - 16b + 8a b +--R * +--R +-----+ +--R \|b - a +--R / +--R 5 3 +-----+ +--R ((32b - 32a)cos(x) + (- 32b + 16a)cos(x) )sin(x)\|b - a +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 2 2 6 2 2 4 +--R (32b - 64a b + 32a )cos(x) + (- 64b + 96a b - 32a )cos(x) +--R + +--R 2 2 2 +--R (32b - 32a b + 4a )cos(x) +--R Type: Expression Integer +--E 183 + +--S 184 of 510 +d0235b:= D(m0235b,x) +--R +--R +--R (170) +--R 9 8 2 7 3 6 4 5 +--R 768b - 6144a b + 21504a b - 43008a b + 53760a b +--R + +--R 5 4 6 3 7 2 8 +--R - 43008a b + 21504a b - 6144a b + 768a b +--R * +--R 13 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 4096b + 29056a b - 89216a b + 154496a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 164480a b + 109696a b - 44416a b + 9856a b +--R + +--R 8 +--R - 896a b +--R * +--R 11 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 9728b - 60032a b + 157760a b - 229120a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 199360a b - 105088a b + 32192a b - 5120a b + 320a b +--R * +--R 9 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 13312b + 70272a b - 154240a b + 181344a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R - 122528a b + 47424a b - 9920a b + 992a b - 32a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 11008b - 49024a b + 88000a b - 81056a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 40352a b - 10528a b + 1312a b - 64a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 5120b + 18944a b - 27264a b + 19136a b +--R + +--R 4 5 5 4 6 3 +--R - 6720a b + 1088a b - 64a b +--R * +--R 3 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 1024b - 3072a b + 3456a b - 1792a b + 416a b +--R + +--R 5 4 +--R - 32a b +--R * +--R cos(x) +--R * +--R 2 6 +--R cot(x) sin(x) +--R + +--R 9 8 2 7 3 6 +--R - 8960b + 71680a b - 250880a b + 501760a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 627200a b + 501760a b - 250880a b + 71680a b +--R + +--R 8 +--R - 8960a b +--R * +--R 15 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 53504b - 387200a b + 1214848a b - 2154112a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 2354560a b - 1618304a b + 679040a b - 157568a b +--R + +--R 8 +--R 15232a b +--R * +--R 13 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 136704b + 884736a b - 2454080a b + 3792768a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 3549120a b + 2040064a b - 693696a b + 124800a b +--R + +--R 8 +--R - 8768a b +--R * +--R 11 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 193024b - 1102080a b + 2657216a b - 3504288a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 2732704a b - 1268800a b + 333824a b - 43552a b +--R + +--R 8 +--R 1952a b +--R * +--R 9 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 161536b + 800768a b - 1643968a b + 1800640a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 1128804a b + 403128a b - 76560a b + 6472a b +--R + +--R 8 +--R - 140a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 79104b - 334464a b + 570560a b - 501280a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 239804a b - 60598a b + 7162a b - 290a b + 2a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 20480b + 72704a b - 100608a b + 68096a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 23016a b + 3456a b - 153a b + a b +--R * +--R 3 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 2048b - 6144a b + 6912a b - 3584a b + 848a b +--R + +--R 5 4 6 3 +--R - 80a b + 2a b +--R * +--R cos(x) +--R * +--R 2 4 +--R cot(x) sin(x) +--R + +--R 9 8 2 7 3 6 +--R 6400b - 51200a b + 179200a b - 358400a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 448000a b - 358400a b + 179200a b - 51200a b +--R + +--R 8 +--R 6400a b +--R * +--R 17 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 44544b + 328320a b - 1048448a b + 1890432a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 2098560a b + 1462144a b - 620160a b + 144768a b +--R + +--R 8 +--R - 13952a b +--R * +--R 15 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 128768b - 870016a b + 2519104a b - 4062976a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 3965120a b - 2373248a b + 837056a b - 154624a b +--R + +--R 8 +--R 10816a b +--R * +--R 13 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 196608b + 1211136a b - 3157504a b + 4513696a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 3824736a b + 1932352a b - 551872a b + 77088a b +--R + +--R 8 +--R - 3552a b +--R * +--R 11 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 162560b - 909568a b + 2122624a b - 2666016a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 1935840a b - 808368a b + 180112a b - 17648a b +--R + +--R 8 +--R 464a b +--R * +--R 9 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 58880b + 303232a b - 640000a b + 711200a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 443160a b + 151292a b - 25156a b + 1492a b +--R + +--R 8 +--R - 20a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 7936b + 25472a b - 27456a b + 7328a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 6152a b - 4332a b + 808a b - 36a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 13312b - 46592a b + 62848a b - 40640a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 12608a b - 1560a b + 24a b + a b +--R * +--R 3 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 3072b + 9216a b - 10368a b + 5376a b - 1264a b +--R + +--R 5 4 6 3 +--R 112a b - 2a b +--R * +--R cos(x) +--R * +--R 2 2 +--R cot(x) sin(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 256b + 2048a b - 7168a b + 14336a b - 17920a b +--R + +--R 5 4 6 3 7 2 8 +--R 14336a b - 7168a b + 2048a b - 256a b +--R * +--R 19 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 2304b - 17280a b + 55936a b - 101760a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 113280a b - 78464a b + 32640a b - 7296a b + 640a b +--R * +--R 17 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 8448b + 59136a b - 176448a b + 291456a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 288960a b + 173568a b - 60096a b + 10368a b +--R + +--R 8 +--R - 576a b +--R * +--R 15 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 16640b - 108160a b + 295744a b - 440672a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 386272a b - 199488a b + 56832a b - 7392a b + 224a b +--R * +--R 13 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 19200b + 115200a b - 286336a b + 380800a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 290972a b + 126712a b - 28864a b + 2696a b +--R + +--R 8 +--R - 36a b +--R * +--R 11 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 13056b - 71808a b + 160512a b - 187584a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 122148a b - 43342a b + 7474a b - 458a b + 2a b +--R * +--R 9 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 4864b + 24320a b - 48192a b + 48384a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 25916a b + 7092a b - 859a b + 35a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 768b - 3456a b + 5952a b - 4960a b + 2076a b +--R + +--R 5 4 6 3 7 2 +--R - 422a b + 42a b - a b +--R * +--R 5 +--R cos(x) +--R + +--R 4 5 5 4 6 3 3 +--R (- 8a b + 8a b - a b )cos(x) +--R * +--R 2 +--R cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R 8 2 7 3 6 4 5 +--R 768a b - 6144a b + 21504a b - 43008a b +--R + +--R 5 4 6 3 7 2 8 9 +--R 53760a b - 43008a b + 21504a b - 6144a b + 768a +--R * +--R 13 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 4096a b + 29056a b - 89216a b + 154496a b +--R + +--R 5 4 6 3 7 2 8 9 +--R - 164480a b + 109696a b - 44416a b + 9856a b - 896a +--R * +--R 11 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 9728a b - 60032a b + 157760a b - 229120a b +--R + +--R 5 4 6 3 7 2 8 9 +--R 199360a b - 105088a b + 32192a b - 5120a b + 320a +--R * +--R 9 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 13312a b + 70272a b - 154240a b + 181344a b +--R + +--R 5 4 6 3 7 2 8 9 +--R - 122528a b + 47424a b - 9920a b + 992a b - 32a +--R * +--R 7 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 11008a b - 49024a b + 88000a b - 81056a b +--R + +--R 5 4 6 3 7 2 8 +--R 40352a b - 10528a b + 1312a b - 64a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 5120a b + 18944a b - 27264a b + 19136a b +--R + +--R 5 4 6 3 7 2 +--R - 6720a b + 1088a b - 64a b +--R * +--R 3 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 1024a b - 3072a b + 3456a b - 1792a b + 416a b +--R + +--R 6 3 +--R - 32a b +--R * +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 768b + 6144a b - 21504a b + 43008a b - 53760a b +--R + +--R 5 4 6 3 7 2 8 +--R 43008a b - 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2040064a b + 693696a b - 124800a b +--R + +--R 8 +--R 8768a b +--R * +--R 11 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 193024b + 1102080a b - 2657216a b + 3504288a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 2732704a b + 1268800a b - 333824a b + 43552a b +--R + +--R 8 +--R - 1952a b +--R * +--R 9 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 161536b - 800768a b + 1643968a b - 1800640a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 1128804a b - 403128a b + 76560a b - 6472a b + 140a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 79104b + 334464a b - 570560a b + 501280a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R - 239804a b + 60598a b - 7162a b + 290a b - 2a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 20480b - 72704a b + 100608a b - 68096a b + 23016a b +--R + +--R 5 4 6 3 7 2 +--R - 3456a b + 153a b - a b +--R * +--R 3 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 2048b + 6144a b - 6912a b + 3584a b - 848a b +--R + +--R 5 4 6 3 +--R 80a b - 2a b +--R * +--R cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 8 2 7 3 6 4 5 +--R 6400a b - 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2304b + 17280a b - 55936a b + 101760a b - 113280a b +--R + +--R 5 4 6 3 7 2 8 +--R 78464a b - 32640a b + 7296a b - 640a b +--R * +--R 17 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 8448b - 59136a b + 176448a b - 291456a b + 288960a b +--R + +--R 5 4 6 3 7 2 8 +--R - 173568a b + 60096a b - 10368a b + 576a b +--R * +--R 15 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 16640b + 108160a b - 295744a b + 440672a b - 386272a b +--R + +--R 5 4 6 3 7 2 8 +--R 199488a b - 56832a b + 7392a b - 224a b +--R * +--R 13 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 19200b - 115200a b + 286336a b - 380800a b + 290972a b +--R + +--R 5 4 6 3 7 2 8 +--R - 126712a b + 28864a b - 2696a b + 36a b +--R * +--R 11 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 13056b + 71808a b - 160512a b + 187584a b - 122148a b +--R + +--R 5 4 6 3 7 2 8 +--R 43342a b - 7474a b + 458a b - 2a b +--R * +--R 9 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 4864b - 24320a b + 48192a b - 48384a b + 25916a b +--R + +--R 5 4 6 3 7 2 +--R - 7092a b + 859a b - 35a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 768b + 3456a b - 5952a b + 4960a b - 2076a b + 422a b +--R + +--R 6 3 7 2 +--R - 42a b + a b +--R * +--R 5 +--R cos(x) +--R + +--R 4 5 5 4 6 3 3 +--R (8a b - 8a b + a b )cos(x) +--R * +--R +--------------------+ +--R | 2 +--R |(- b + a)cos(x) + b +--R |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 9 8 2 7 3 6 +--R 4096b - 32768a b + 114688a b - 229376a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 286720a b - 229376a b + 114688a b - 32768a b +--R + +--R 8 +--R 4096a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 25088b + 179456a b - 555776a b + 971008a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 1043200a b + 702208a b - 286976a b + 64256a b +--R + +--R 8 +--R - 5888a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 67584b - 425728a b + 1145024a b - 1707392a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 1531200a b - 835584a b + 266048a b - 43904a b +--R + +--R 8 +--R 2752a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 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2a b +--R * +--R 4 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 6144b + 18432a b - 20736a b + 10752a b +--R + +--R 4 5 5 4 +--R - 2488a b + 188a b +--R * +--R 2 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 1024b - 2560a b + 2304a b - 896a b + 144a b - 8a b +--R * +--R 2 +--R cot(x) sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 8 2 7 3 6 4 5 +--R 4096a b - 32768a b + 114688a b - 229376a b +--R + +--R 5 4 6 3 7 2 8 +--R 286720a b - 229376a b + 114688a b - 32768a b +--R + +--R 9 +--R 4096a +--R * +--R 14 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 25088a b + 179456a b - 555776a b + 971008a b +--R + +--R 5 4 6 3 7 2 8 +--R - 1043200a b + 702208a b - 286976a b + 64256a b +--R + +--R 9 +--R - 5888a +--R * +--R 12 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 67584a b - 425728a b + 1145024a b - 1707392a b +--R + +--R 5 4 6 3 7 2 8 +--R 1531200a b - 835584a b + 266048a b - 43904a b +--R + +--R 9 +--R 2752a +--R * +--R 10 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 104448a b + 569600a b - 1301184a b + 1608448a b +--R + +--R 5 4 6 3 7 2 8 +--R - 1158720a b + 487168a b - 112960a b + 12544a b +--R + +--R 9 +--R - 448a +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 100352a b - 465152a b + 879936a b - 870336a b +--R + +--R 5 4 6 3 7 2 8 9 +--R 478968a b - 144376a b + 21976a b - 1384a b + 16a +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 59904a b + 231424a b - 352576a b + 267712a b +--R + +--R 5 4 6 3 7 2 8 +--R - 105472a b + 20444a b - 1656a b + 28a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 20480a b - 64512a b + 76800a b - 42752a b +--R + +--R 5 4 6 3 7 2 +--R 11112a b - 1156a b + 28a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 3072a b + 7680a b - 6912a b + 2688a b - 416a b +--R + +--R 6 3 +--R 16a b +--R * +--R 2 +--R cot(x) +--R + +--R 9 8 2 7 3 6 +--R - 4096b + 32768a b - 114688a b + 229376a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 286720a b + 229376a b - 114688a b + 32768a b +--R + +--R 8 +--R - 4096a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 25088b - 179456a b + 555776a b - 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28a b +--R * +--R 2 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 3072b - 7680a b + 6912a b - 2688a b + 416a b - 16a b +--R * +--R 5 +--R sin(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 10240a b + 81920a b - 286720a b + 573440a b +--R + +--R 5 4 6 3 7 2 8 +--R - 716800a b + 573440a b - 286720a b + 81920a b +--R + +--R 9 +--R - 10240a +--R * +--R 16 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 70656a b - 514560a b + 1623552a b - 2892288a b +--R + +--R 5 4 6 3 7 2 8 +--R 3171840a b - 2182656a b + 913920a b - 210432a b +--R + +--R 9 +--R 19968a +--R * +--R 14 +--R cos(x) +--R + +--R 8 2 7 3 6 +--R - 207872a b + 1366016a b - 3844352a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 6020608a b - 5697280a b + 3300352a b - 1124096a b +--R + +--R 8 9 +--R 200192a b - 13568a +--R * +--R 12 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 335872a b - 1970176a b + 4881024a b - 6611776a b +--R + +--R 5 4 6 3 7 2 8 +--R 5288640a b - 2509952a b + 669696a b - 87104a b +--R + +--R 9 +--R 3776a +--R * +--R 10 +--R cos(x) +--R + +--R 8 2 7 3 6 +--R - 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70656b + 514560a b - 1623552a b + 2892288a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 3171840a b + 2182656a b - 913920a b + 210432a b +--R + +--R 8 +--R - 19968a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 207872b - 1366016a b + 3844352a b - 6020608a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 5697280a b - 3300352a b + 1124096a b - 200192a b +--R + +--R 8 +--R 13568a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 335872b + 1970176a b - 4881024a b + 6611776a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 5288640a b + 2509952a b - 669696a b + 87104a b +--R + +--R 8 +--R - 3776a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 317440b - 1639424a b + 3516544a b - 4036352a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 2658392a b - 997776a b + 197920a b - 17136a b + 392a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 168960b + 754176a b - 1370240a b + 1297728a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R - 680232a b + 192348a b - 26060a b + 1252a b - 12a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 39936b - 149504a b + 222848a b - 168320a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 67392a b - 13376a b + 1054a b - 30a b +--R * +--R 4 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 2048b - 7168a b + 8960a b - 4864a b + 1120a b +--R + +--R 5 4 +--R - 96a b +--R * +--R 2 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 2048b + 5120a b - 4608a b + 1792a b - 272a b + 8a b +--R * +--R 3 +--R sin(x) +--R + +--R 8 2 7 3 6 4 5 +--R 2048a b - 16384a b + 57344a b - 114688a b +--R + +--R 5 4 6 3 7 2 8 9 +--R 143360a b - 114688a b + 57344a b - 16384a b + 2048a +--R * +--R 18 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 16896a b + 125184a b - 401152a b + 724224a b +--R + +--R 5 4 6 3 7 2 8 +--R - 802560a b + 555776a b - 232704a b + 52992a b +--R + +--R 9 +--R - 4864a +--R * +--R 16 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 58368a b - 398592a b + 1162816a b - 1882240a b +--R + +--R 5 4 6 3 7 2 8 +--R 1833920a b - 1087488a b + 375232a b - 66176a b +--R + +--R 9 +--R 4160a +--R * +--R 14 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 109056a b + 683008a b - 1801536a b + 2590656a b +--R + +--R 5 4 6 3 7 2 8 +--R - 2192000a b + 1094016a b - 303168a b + 39616a b +--R + +--R 9 +--R - 1536a +--R * +--R 12 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 116736a b - 668160a b + 1582464a b - 1999488a b +--R + +--R 5 4 6 3 7 2 8 +--R 1444784a b - 591352a b + 126024a b - 11240a b +--R + +--R 9 +--R 232a +--R * +--R 10 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 66048a b + 347904a b - 739456a b + 813952a b +--R + +--R 5 4 6 3 7 2 8 9 +--R - 492624a b + 159176a b - 24108a b + 1216a b - 12a +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 9216a b - 53504a b + 112960a b - 114432a b +--R + +--R 5 4 6 3 7 2 8 +--R 58936a b - 14512a b + 1358a b - 22a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 10752a b - 35328a b + 44992a b - 27840a b +--R + +--R 5 4 6 3 7 2 8 +--R 8528a b - 1108a b + 22a b - 2a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 6144a b + 18432a b - 20736a b + 10752a b +--R + +--R 5 4 6 3 +--R - 2488a b + 188a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 1024a b - 2560a b + 2304a b - 896a b + 144a b - 8a b +--R * +--R 2 +--R cot(x) +--R + +--R 9 8 2 7 3 6 +--R - 2048b + 16384a b - 57344a b + 114688a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R - 143360a b + 114688a b - 57344a b + 16384a b - 2048a b +--R * +--R 18 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 16896b - 125184a b + 401152a b - 724224a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 802560a b - 555776a b + 232704a b - 52992a b + 4864a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 58368b + 398592a b - 1162816a b + 1882240a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 1833920a b + 1087488a b - 375232a b + 66176a b +--R + +--R 8 +--R - 4160a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 109056b - 683008a b + 1801536a b - 2590656a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 2192000a b - 1094016a b + 303168a b - 39616a b +--R + +--R 8 +--R 1536a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 116736b + 668160a b - 1582464a b + 1999488a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 1444784a b + 591352a b - 126024a b + 11240a b +--R + +--R 8 +--R - 232a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 66048b - 347904a b + 739456a b - 813952a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 492624a b - 159176a b + 24108a b - 1216a b + 12a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 9216b + 53504a b - 112960a b + 114432a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 58936a b + 14512a b - 1358a b + 22a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 10752b + 35328a b - 44992a b + 27840a b - 8528a b +--R + +--R 5 4 6 3 7 2 +--R 1108a b - 22a b + 2a b +--R * +--R 4 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 6144b - 18432a b + 20736a b - 10752a b + 2488a b +--R + +--R 5 4 +--R - 188a b +--R * +--R 2 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 1024b + 2560a b - 2304a b + 896a b - 144a b + 8a b +--R * +--R sin(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R + +--R 9 8 2 7 3 6 4 5 +--R - 1024b + 6144a b - 15360a b + 20480a b - 15360a b +--R + +--R 5 4 6 3 +--R 6144a b - 1024a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 5120b - 27136a b + 58880a b - 66560a b + 40960a b +--R + +--R 5 4 6 3 +--R - 12800a b + 1536a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 10240b + 47104a b - 86784a b + 80896a b - 39424a b +--R + +--R 5 4 6 3 +--R 9216a b - 768a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 10240b - 39936a b + 60672a b - 44928a b + 16512a b +--R + +--R 5 4 6 3 +--R - 2688a b + 128a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 5120b + 16384a b - 19712a b + 11008a b - 2816a b +--R + +--R 5 4 +--R 256a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (1024b - 2560a b + 2304a b - 896a b + 128a b )cos(x) +--R * +--R 2 5 +--R cot(x) sin(x) +--R + +--R 9 8 2 7 3 6 +--R 10240b - 61440a b + 153600a b - 204800a b +--R + +--R 4 5 5 4 6 3 +--R 153600a b - 61440a b + 10240a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 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1024a b - 1536a b + 2560a b - 1216a b +--R + +--R 5 4 +--R 192a b +--R * +--R 4 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 1024b - 6144a b + 15360a b - 20480a b + 15360a b +--R + +--R 5 4 6 3 +--R - 6144a b + 1024a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 5120b + 27136a b - 58880a b + 66560a b - 40960a b +--R + +--R 5 4 6 3 +--R 12800a b - 1536a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 10240b - 47104a b + 86784a b - 80896a b + 39424a b +--R + +--R 5 4 6 3 +--R - 9216a b + 768a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 10240b + 39936a b - 60672a b + 44928a b - 16512a b +--R + +--R 5 4 6 3 +--R 2688a b - 128a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 5120b - 16384a b + 19712a b - 11008a b + 2816a b +--R + +--R 5 4 +--R - 256a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (- 1024b + 2560a b - 2304a b + 896a b - 128a b )cos(x) +--R * +--R 5 +--R sin(x) +--R + +--R 9 8 2 7 3 6 +--R 10240b - 46080a b + 61440a b + 25600a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 153600a b + 168960a b - 81920a b + 15360a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 53248b + 207872a b - 208384a b - 212480a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 640000a b - 561152a b + 219648a b - 32256a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 112640b - 372736a b + 243968a b + 522880a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 1018880a b + 705280a b - 217344a b + 24192a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 122880b + 333824a b - 92928a b - 569728a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 779392a b - 417408a b + 97408a b - 7680a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 71680b - 152576a b - 22784a b + 297856a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 292880a b + 117064a b - 19296a b + 936a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 20480b + 31744a b + 21760a b - 69248a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 48352a b - 13496a b + 1404a b - 36a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 2048b - 2048a b - 3072a b + 5120a b - 2384a b +--R + +--R 5 4 6 3 +--R 432a b - 36a b +--R * +--R 4 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 9 8 2 7 3 6 +--R - 10240b + 61440a b - 153600a b + 204800a b +--R + +--R 4 5 5 4 6 3 +--R - 153600a b + 61440a b - 10240a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 53248b - 287744a b + 640000a b - 747520a b +--R + +--R 4 5 5 4 6 3 +--R 481280a b - 160768a b + 21504a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 112640b + 541696a b - 1056512a b + 1061888a b +--R + +--R 4 5 5 4 6 3 +--R - 573952a b + 155648a b - 16128a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 122880b - 518144a b + 870144a b - 735488a b +--R + +--R 4 5 5 4 6 3 +--R 323840a b - 68352a b + 5120a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 71680b + 260096a b - 367360a b + 253184a b +--R + +--R 4 5 5 4 6 3 +--R - 86896a b + 13280a b - 624a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 20480b - 62464a b + 71936a b - 38656a b + 9632a b +--R + +--R 5 4 6 3 +--R - 952a b + 24a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 2048b + 5120a b - 4608a b + 1792a b - 304a b +--R + +--R 5 4 +--R 24a b +--R * +--R 4 +--R cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 9 8 2 7 3 6 +--R - 5120b + 23040a b - 30720a b - 12800a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 76800a b - 84480a b + 40960a b - 7680a b +--R * +--R 18 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 27648b - 110592a b + 117504a b + 103680a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 345600a b + 317952a b - 131328a b + 20736a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 58368b + 204288a b - 159744a b - 257280a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 583680a b - 448512a b + 156672a b - 20736a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 56320b - 168960a b + 82944a b + 256512a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 431808a b + 278592a b - 83008a b + 9408a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 15360b + 38400a b - 9216a b - 62976a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 89328a b - 54648a b + 16416a b - 1944a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 15360b + 30720a b + 9984a b - 63744a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 52848a b - 15360a b + 732a b + 180a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 13312b - 19968a b - 15360a b + 44288a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 28848a b + 7080a b - 508a b - 6a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 3072b + 3072a b + 4608a b - 7680a b + 3600a b +--R + +--R 5 4 6 3 +--R - 624a b + 36a b +--R * +--R 4 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 5120b - 30720a b + 76800a b - 102400a b + 76800a b +--R + +--R 5 4 6 3 +--R - 30720a b + 5120a b +--R * +--R 18 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 27648b + 152064a b - 345600a b + 414720a b +--R + +--R 4 5 5 4 6 3 +--R - 276480a b + 96768a b - 13824a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 58368b - 291840a b + 597504a b - 638976a b +--R + +--R 4 5 5 4 6 3 +--R 374784a b - 113664a b + 13824a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 56320b + 253440a b - 463104a b + 438144a b +--R + +--R 4 5 5 4 6 3 +--R - 225408a b + 59520a b - 6272a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 15360b - 61440a b + 101376a b - 89088a b + 44304a b +--R + +--R 5 4 6 3 +--R - 11808a b + 1296a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 15360b - 53760a b + 70656a b - 42240a b + 10512a b +--R + +--R 5 4 6 3 +--R - 408a b - 120a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 13312b + 39936a b - 44544a b + 22528a b - 4944a b +--R + +--R 5 4 6 3 +--R 336a b + 4a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 3072b - 7680a b + 6912a b - 2688a b + 432a b +--R + +--R 5 4 +--R - 24a b +--R * +--R 4 +--R cos(x) +--R * +--R sin(x) +--R * +--R 4 +--R tan(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 1024b + 7680a b - 24576a b + 43520a b - 46080a b +--R + +--R 5 4 6 3 7 2 +--R 29184a b - 10240a b + 1536a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 5120b - 34816a b + 99584a b - 154880a b + 140800a b +--R + +--R 5 4 6 3 7 2 +--R - 74240a b + 20736a b - 2304a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 10240b + 62464a b - 157440a b + 211072a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 160768a b + 68352a b - 14592a b + 1152a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 10240b - 55296a b + 120576a b - 135936a b + 83904a b +--R + +--R 5 4 6 3 7 2 +--R - 27456a b + 4160a b - 192a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 5120b + 24064a b - 44288a b + 40576a b - 19328a b +--R + +--R 5 4 6 3 +--R 4480a b - 384a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 1024b - 4096a b + 6144a b - 4352a b + 1472a b +--R + +--R 5 4 +--R - 192a b +--R * +--R 4 +--R cos(x) +--R * +--R 5 +--R cot(x)sin(x) +--R + +--R 9 8 2 7 3 6 +--R 10240b - 76800a b + 245760a b - 435200a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 460800a b - 291840a b + 102400a b - 15360a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 53248b + 367616a b - 1071616a b + 1707520a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 1602560a b + 882688a b - 262656a b + 32256a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 112640b - 710656a b + 1869056a b - 2646656a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 2166784a b - 1016576a b + 249600a b - 24192a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 122880b + 702464a b - 1647360a b + 2040704a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 1427072a b + 554112a b - 107648a b + 7680a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R 71680b - 367616a b + 757504a b - 804224a b +--R + +--R 4 5 5 4 6 3 7 2 +--R 466672a b - 143624a b + 20544a b - 936a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 20480b + 93184a b - 165632a b + 146560a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 67616a b + 15400a b - 1452a b + 36a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 2048b - 8192a b + 12288a b - 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15360b + 76800a b - 151296a b + 148224a b +--R + +--R 4 5 5 4 6 3 7 2 +--R - 73872a b + 16176a b - 492a b - 180a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 13312b - 59904a b + 104448a b - 89344a b + 38736a b +--R + +--R 5 4 6 3 7 2 +--R - 7752a b + 500a b + 6a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 3072b + 12288a b - 18432a b + 13056a b - 4464a b +--R + +--R 5 4 6 3 +--R 672a b - 36a b +--R * +--R 4 +--R cos(x) +--R * +--R cot(x)sin(x) +--R * +--R 3 +--R tan(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 1024a b + 4608a b - 6144a b - 2560a b +--R + +--R 5 4 6 3 7 2 8 +--R 15360a b - 16896a b + 8192a b - 1536a b +--R * +--R 14 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 5120a b - 19456a b + 18176a b + 21760a b +--R + +--R 5 4 6 3 7 2 8 +--R - 58880a b + 48640a b - 17664a b + 2304a b +--R * +--R 12 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 10240a b + 31744a b - 16128a b - 49280a b +--R + +--R 5 4 6 3 7 2 8 +--R 81920a b - 49920a b + 13056a b - 1152a b +--R * +--R 10 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R 10240a b - 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3072b + 12288a b - 18432a b + 13056a b - 4464a b +--R + +--R 5 4 6 3 +--R 672a b - 36a b +--R * +--R 4 +--R cos(x) +--R * +--R cot(x)sin(x) +--R * +--R tan(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 1024a b + 6144a b - 15360a b + 20480a b - 15360a b +--R + +--R 8 9 +--R 6144a b - 1024a +--R * +--R 14 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 5120a b - 27136a b + 58880a b - 66560a b + 40960a b +--R + +--R 8 9 +--R - 12800a b + 1536a +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 10240a b + 47104a b - 86784a b + 80896a b +--R + +--R 7 2 8 9 +--R - 39424a b + 9216a b - 768a +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 10240a b - 39936a b + 60672a b - 44928a b + 16512a b +--R + +--R 8 9 +--R - 2688a b + 128a +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 5120a b + 16384a b - 19712a b + 11008a b - 2816a b +--R + +--R 8 +--R 256a b +--R * +--R 6 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 4 +--R (1024a b - 2560a b + 2304a b - 896a b + 128a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 1024b - 6656a b + 17920a b - 25088a b + 17920a b +--R + +--R 5 4 6 3 7 2 8 +--R - 3584a b - 3584a b + 2560a b - 512a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 5120b + 29696a b - 69888a b + 82432a b - 44800a b +--R + +--R 6 3 7 2 8 +--R 12544a b - 5632a b + 768a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 10240b - 52224a b + 105216a b - 100736a b + 36480a b +--R + +--R 5 4 6 3 7 2 8 +--R 11520a b - 14336a b + 4224a b - 384a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 10240b + 45056a b - 75520a b + 55296a b - 8640a b +--R + +--R 5 4 6 3 7 2 8 +--R - 11520a b + 6784a b - 1280a b + 64a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 5120b - 18944a b + 25344a b - 12672a b - 1536a b +--R + +--R 5 4 6 3 7 2 +--R 3840a b - 1280a b + 128a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 1024b + 3072a b - 3072a b + 768a b + 576a b - 384a b +--R + +--R 6 3 +--R 64a b +--R * +--R 4 +--R cos(x) +--R * +--R 5 +--R sin(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R 10240a b - 61440a b + 153600a b - 204800a b +--R + +--R 7 2 8 9 +--R 153600a b - 61440a b + 10240a +--R * +--R 16 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 53248a b + 287744a b - 640000a b + 747520a b +--R + +--R 7 2 8 9 +--R - 481280a b + 160768a b - 21504a +--R * +--R 14 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R 112640a b - 541696a b + 1056512a b - 1061888a b +--R + +--R 7 2 8 9 +--R 573952a b - 155648a b + 16128a +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 122880a b + 518144a b - 870144a b + 735488a b +--R + +--R 7 2 8 9 +--R - 323840a b + 68352a b - 5120a +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R 71680a b - 260096a b + 367360a b - 253184a b +--R + +--R 7 2 8 9 +--R 86896a b - 13280a b + 624a +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 20480a b + 62464a b - 71936a b + 38656a b +--R + +--R 7 2 8 9 +--R - 9632a b + 952a b - 24a +--R * +--R 6 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 2048a b - 5120a b + 4608a b - 1792a b + 304a b +--R + +--R 8 +--R - 24a b +--R * +--R 4 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 10240b + 66560a b - 179200a b + 250880a b - 179200a b +--R + +--R 5 4 6 3 7 2 8 +--R 35840a b + 35840a b - 25600a b + 5120a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 53248b - 314368a b + 757248a b - 923648a b + 535040a b +--R + +--R 5 4 6 3 7 2 8 +--R - 27648a b - 138752a b + 69632a b - 10752a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 +--R - 112640b + 598016a b - 1271040a b + 1319296a b +--R + +--R 4 5 5 4 6 3 7 2 8 +--R - 576640a b - 88320a b + 193024a b - 69760a b + 8064a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 122880b - 579584a b + 1067776a b - 911488a b + 256512a b +--R + +--R 5 4 6 3 7 2 8 +--R 137472a b - 122624a b + 31616a b - 2560a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 71680b + 295936a b - 461568a b + 306816a b - 29808a b +--R + +--R 5 4 6 3 7 2 8 +--R - 69864a b + 36184a b - 6328a b + 312a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 20480b - 72704a b + 92928a b - 43392a b - 7008a b +--R + +--R 5 4 6 3 7 2 8 +--R 13560a b - 4316a b + 464a b - 12a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 2048b + 6144a b - 6144a b + 1536a b + 1104a b +--R + +--R 5 4 6 3 7 2 +--R - 720a b + 140a b - 12a b +--R * +--R 4 +--R cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 5120a b + 30720a b - 76800a b + 102400a b +--R + +--R 7 2 8 9 +--R - 76800a b + 30720a b - 5120a +--R * +--R 18 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R 27648a b - 152064a b + 345600a b - 414720a b +--R + +--R 7 2 8 9 +--R 276480a b - 96768a b + 13824a +--R * +--R 16 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 58368a b + 291840a b - 597504a b + 638976a b +--R + +--R 7 2 8 9 +--R - 374784a b + 113664a b - 13824a +--R * +--R 14 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R 56320a b - 253440a b + 463104a b - 438144a b +--R + +--R 7 2 8 9 +--R 225408a b - 59520a b + 6272a +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 15360a b + 61440a b - 101376a b + 89088a b +--R + +--R 7 2 8 9 +--R - 44304a b + 11808a b - 1296a +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 15360a b + 53760a b - 70656a b + 42240a b +--R + +--R 7 2 8 9 +--R - 10512a b + 408a b + 120a +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 13312a b - 39936a b + 44544a b - 22528a b + 4944a b +--R + +--R 8 9 +--R - 336a b - 4a +--R * +--R 6 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 3072a b + 7680a b - 6912a b + 2688a b - 432a b +--R + +--R 8 +--R 24a b +--R * +--R 4 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 5120b - 33280a b + 89600a b - 125440a b + 89600a b +--R + +--R 5 4 6 3 7 2 8 +--R - 17920a b - 17920a b + 12800a b - 2560a b +--R * +--R 18 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 27648b + 165888a b - 407808a b + 511488a b - 311040a b +--R + +--R 5 4 6 3 7 2 8 +--R 27648a b + 76032a b - 41472a b + 6912a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 58368b - 321024a b + 714240a b - 791808a b + 395520a b +--R + +--R 5 4 6 3 7 2 8 +--R 18432a b - 116736a b + 49920a b - 6912a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 56320b + 281600a b - 561664a b + 542976a b - 212928a b +--R + +--R 5 4 6 3 7 2 8 +--R - 46848a b + 76672a b - 26624a b + 3136a b +--R * +--R 12 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 15360b - 69120a b + 124416a b - 109056a b + 38160a b +--R + +--R 5 4 6 3 7 2 8 +--R 10584a b - 14952a b + 5256a b - 648a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 15360b - 61440a b + 89856a b - 50688a b - 3696a b +--R + +--R 5 4 6 3 7 2 8 +--R 15456a b - 5172a b + 264a b + 60a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 13312b + 46592a b - 57856a b + 24832a b + 6064a b +--R + +--R 5 4 6 3 7 2 8 +--R - 8456a b + 2308a b - 170a b - 2a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 3072b - 9216a b + 9216a b - 2304a b - 1680a b + 1104a b +--R + +--R 6 3 7 2 +--R - 204a b + 12a b +--R * +--R 4 +--R cos(x) +--R * +--R sin(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 5120b + 35840a b - 107520a b + 179200a b - 179200a b +--R + +--R 5 5 6 4 7 3 +--R 107520a b - 35840a b + 5120a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 28672b - 181248a b + 485376a b - 711680a b + 614400a b +--R + +--R 5 5 6 4 7 3 +--R - 310272a b + 83968a b - 9216a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 66560b + 375808a b - 886400a b + 1124480a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 820480a b + 339200a b - 71808a b + 5760a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 81920b - 407552a b + 832512a b - 894336a b + 536064a b +--R + +--R 5 5 6 4 7 3 +--R - 174336a b + 27136a b - 1408a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 56320b + 242688a b - 420096a b + 371328a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 175584a b + 42144a b - 4256a b + 96a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 20480b - 74752a b + 106496a b - 74368a b + 26048a b +--R + +--R 5 5 6 4 +--R - 4096a b + 192a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 3072b + 9216a b - 10368a b + 5376a b - 1248a b +--R + +--R 5 5 +--R 96a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 4 +--R cot(x) sin(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 10240b - 71680a b + 215040a b - 358400a b + 358400a b +--R + +--R 5 5 6 4 7 3 +--R - 215040a b + 71680a b - 10240a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 59392b + 380928a b - 1038336a b + 1556480a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 1382400a b + 724992a b - 206848a b + 24576a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 141312b - 823296a b + 2018304a b - 2688000a b +--R + +--R 4 6 5 5 6 4 7 3 +--R 2088960a b - 940032a b + 224256a b - 21504a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 174080b + 911360a b - 1983744a b + 2311296a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 1542144a b + 581376a b - 112384a b + 8320a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 112640b - 522240a b + 992256a b - 991104a b + 553968a b +--R + +--R 5 5 6 4 7 3 +--R - 169680a b + 25552a b - 1392a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 30720b + 122880a b - 198144a b + 164736a b - 74928a b +--R + +--R 5 5 6 4 7 3 +--R 18240a b - 2160a b + 96a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 2048b + 8192a b - 12288a b + 8576a b - 2672a b +--R + +--R 5 5 6 4 7 3 +--R 192a b + 50a b - 2a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 2048b - 6144a b + 6912a b - 3584a b + 816a b - 48a b +--R + +--R 6 4 +--R - 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 2 +--R cot(x) sin(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 1024b + 7168a b - 21504a b + 35840a b - 35840a b +--R + +--R 5 5 6 4 7 3 +--R 21504a b - 7168a b + 1024a b +--R * +--R 19 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 6144b - 39936a b + 110592a b - 168960a b + 153600a b +--R + +--R 5 5 6 4 7 3 +--R - 82944a b + 24576a b - 3072a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 14336b + 86016a b - 218496a b + 304000a b - 249600a b +--R + +--R 5 5 6 4 7 3 +--R 120576a b - 31616a b + 3456a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 78848a b + 182784a b - 231168a b + 172032a b +--R + +--R 5 5 6 4 7 3 +--R - 75264a b + 17920a b - 1792a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 1920a b + 7680a b - 11952a b + 8976a b - 3216a b +--R + +--R 7 3 +--R 432a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 14336b + 64512a b - 116736a b + 107520a b - 52128a b +--R + +--R 5 5 6 4 7 3 +--R 12048a b - 832a b - 48a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 57344a b + 91008a b - 72320a b + 29696a b +--R + +--R 5 5 6 4 7 3 +--R - 5760a b + 382a b + 2a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 6144b + 21504a b - 29184a b + 19200a b - 6240a b +--R + +--R 5 5 6 4 +--R 912a b - 48a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 1024b - 3072a b + 3456a b - 1792a b + 432a b - 48a b +--R + +--R 6 4 +--R 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R * +--R 6 +--R tan(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 5120b + 28160a b - 53760a b + 17920a b + 89600a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 161280a b + 125440a b - 48640a b + 7680a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 28672b - 138240a b + 213504a b + 16384a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 453120a b + 611328a b - 381440a b + 116736a b +--R + +--R 8 2 +--R - 13824a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 66560b + 275968a b - 322688a b - 205120a b +--R + +--R 4 6 5 5 6 4 7 3 +--R 866240a b - 891520a b + 436992a b - 101952a b +--R + +--R 8 2 +--R 8640a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 81920b - 284672a b + 221184a b + 354432a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 805440a b + 629760a b - 234368a b + 39296a b +--R + +--R 8 2 +--R - 2112a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 56320b + 158208a b - 56064a b - 258816a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 381408a b - 221232a b + 58960a b - 6288a b + 144a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 20480b - 44032a b - 5632a b + 85376a b - 85504a b +--R + +--R 5 5 6 4 7 3 +--R 34976a b - 5952a b + 288a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 3072b + 4608a b + 3456a b - 10176a b + 6816a b +--R + +--R 5 5 6 4 +--R - 1776a b + 144a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 5120b - 35840a b + 107520a b - 179200a b + 179200a b +--R + +--R 5 5 6 4 7 3 +--R - 107520a b + 35840a b - 5120a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 28672b + 181248a b - 485376a b + 711680a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 614400a b + 310272a b - 83968a b + 9216a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 66560b - 375808a b + 886400a b - 1124480a b + 820480a b +--R + +--R 5 5 6 4 7 3 +--R - 339200a b + 71808a b - 5760a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 81920b + 407552a b - 832512a b + 894336a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 536064a b + 174336a b - 27136a b + 1408a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 56320b - 242688a b + 420096a b - 371328a b + 175584a b +--R + +--R 5 5 6 4 7 3 +--R - 42144a b + 4256a b - 96a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 20480b + 74752a b - 106496a b + 74368a b - 26048a b +--R + +--R 5 5 6 4 +--R 4096a b - 192a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R (3072b - 9216a b + 10368a b - 5376a b + 1248a b - 96a b ) +--R * +--R 3 +--R cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 10 9 2 8 3 7 +--R 10240b - 56320a b + 107520a b - 35840a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 179200a b + 322560a b - 250880a b + 97280a b +--R + +--R 8 2 +--R - 15360a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 59392b + 291840a b - 466944a b - 1024a b +--R + +--R 4 6 5 5 6 4 7 3 +--R 952320a b - 1348608a b + 880640a b - 285696a b +--R + +--R 8 2 +--R 36864a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 141312b - 611328a b + 783360a b + 339456a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 1943040a b + 2193408a b - 1185792a b + 314880a b +--R + +--R 8 2 +--R - 32256a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 174080b + 650240a b - 616704a b - 664320a b +--R + +--R 4 6 5 5 6 4 7 3 +--R 1924800a b - 1731840a b + 759680a b - 160256a b +--R + +--R 8 2 +--R 12480a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 112640b - 353280a b + 208896a b + 497280a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 932688a b + 661272a b - 228968a b + 36936a b +--R + +--R 8 2 +--R - 2088a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 30720b + 76800a b - 13824a b - 132480a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 172176a b - 94152a b + 25200a b - 3144a b + 144a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 3 7 4 6 5 5 +--R - 2048b + 5120a b - 9856a b + 10192a b - 3816a b +--R + +--R 6 4 7 3 8 2 +--R 338a b + 73a b - 3a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 2048b - 3072a b - 2304a b + 6784a b - 4560a b +--R + +--R 5 5 6 4 7 3 +--R 1176a b - 74a b - 3a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 10240b + 71680a b - 215040a b + 358400a b - 358400a b +--R + +--R 5 5 6 4 7 3 +--R 215040a b - 71680a b + 10240a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 59392b - 380928a b + 1038336a b - 1556480a b +--R + +--R 4 6 5 5 6 4 7 3 +--R 1382400a b - 724992a b + 206848a b - 24576a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 141312b + 823296a b - 2018304a b + 2688000a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 2088960a b + 940032a b - 224256a b + 21504a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 174080b - 911360a b + 1983744a b - 2311296a b +--R + +--R 4 6 5 5 6 4 7 3 +--R 1542144a b - 581376a b + 112384a b - 8320a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 112640b + 522240a b - 992256a b + 991104a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 553968a b + 169680a b - 25552a b + 1392a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 30720b - 122880a b + 198144a b - 164736a b + 74928a b +--R + +--R 5 5 6 4 7 3 +--R - 18240a b + 2160a b - 96a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 2048b - 8192a b + 12288a b - 8576a b + 2672a b +--R + +--R 5 5 6 4 7 3 +--R - 192a b - 50a b + 2a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R - 2048b + 6144a b - 6912a b + 3584a b - 816a b + 48a b +--R + +--R 6 4 +--R 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 1024b + 5632a b - 10752a b + 3584a b + 17920a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 32256a b + 25088a b - 9728a b + 1536a b +--R * +--R 19 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 6144b - 30720a b + 50688a b - 3072a b - 99840a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 147456a b - 99840a b + 33792a b - 4608a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 14336b + 64512a b - 89472a b - 23744a b + 206400a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 253824a b + 149248a b - 43968a b + 5184a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 57344a b + 64512a b + 43008a b - 174720a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 182784a b - 94976a b + 25088a b - 2688a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 1920a b + 4800a b - 432a b - 8952a b + 10248a b +--R + +--R 7 3 8 2 +--R - 4392a b + 648a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 14336b + 43008a b - 19968a b - 67584a b + 109152a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 66144a b + 17240a b - 1296a b - 72a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 35840a b + 4992a b + 64192a b - 78784a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 38784a b - 8258a b + 575a b + 3a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 6144b + 12288a b + 3072a b - 24576a b + 22560a b +--R + +--R 5 5 6 4 7 3 +--R - 8448a b + 1320a b - 72a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 1024b - 1536a b - 1152a b + 3392a b - 2256a b + 600a b +--R + +--R 6 4 7 3 +--R - 70a b + 3a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 1024b - 7168a b + 21504a b - 35840a b + 35840a b +--R + +--R 5 5 6 4 7 3 +--R - 21504a b + 7168a b - 1024a b +--R * +--R 19 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 6144b + 39936a b - 110592a b + 168960a b - 153600a b +--R + +--R 5 5 6 4 7 3 +--R 82944a b - 24576a b + 3072a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 86016a b + 218496a b - 304000a b + 249600a b +--R + +--R 5 5 6 4 7 3 +--R - 120576a b + 31616a b - 3456a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 14336b + 78848a b - 182784a b + 231168a b - 172032a b +--R + +--R 5 5 6 4 7 3 +--R 75264a b - 17920a b + 1792a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R (1920a b - 7680a b + 11952a b - 8976a b + 3216a b - 432a b ) +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 64512a b + 116736a b - 107520a b + 52128a b +--R + +--R 5 5 6 4 7 3 +--R - 12048a b + 832a b + 48a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 14336b + 57344a b - 91008a b + 72320a b - 29696a b +--R + +--R 5 5 6 4 7 3 +--R 5760a b - 382a b - 2a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 6144b - 21504a b + 29184a b - 19200a b + 6240a b - 912a b +--R + +--R 6 4 +--R 48a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R - 1024b + 3072a b - 3456a b + 1792a b - 432a b + 48a b +--R + +--R 6 4 +--R - 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 4 +--R tan(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 5120b + 43520a b - 161280a b + 340480a b - 448000a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 376320a b - 197120a b + 58880a b - 7680a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 28672b - 224256a b + 757248a b - 1439744a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 1681920a b - 1231872a b + 549376a b - 135168a b + 13824a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 66560b + 475648a b - 1450112a b + 2454080a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 2507200a b + 1569920a b - 580608a b + 113472a b +--R + +--R 8 2 +--R - 8640a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 81920b - 530432a b + 1443840a b - 2143104a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 1877568a b - 978432a b + 288640a b - 42112a b + 2112a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 56320b + 327168a b - 784128a b + 1001472a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 732576a b + 305520a b - 67472a b + 6480a b - 144a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 20480b - 105472a b + 218624a b - 234112a b + 137600a b +--R + +--R 5 5 6 4 7 3 +--R - 43168a b + 6336a b - 288a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 3072b + 13824a b - 24192a b + 20928a b - 9312a b +--R + +--R 5 5 6 4 +--R 1968a b - 144a b +--R * +--R 3 +--R cos(x) +--R * +--R 4 +--R cot(x)sin(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 10240b - 87040a b + 322560a b - 680960a b + 896000a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 752640a b + 394240a b - 117760a b + 15360a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 59392b + 470016a b - 1609728a b + 3113984a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 3717120a b + 2798592a b - 1294336a b + 334848a b +--R + +--R 8 2 +--R - 36864a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 141312b - 1035264a b + 3253248a b - 5715456a b +--R + +--R 4 6 5 5 6 4 7 3 +--R 6120960a b - 4073472a b + 1634304a b - 357888a b +--R + +--R 8 2 +--R 32256a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 174080b + 1172480a b - 3350784a b + 5286912a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 5009088a b + 2894592a b - 984448a b + 176896a b +--R + +--R 8 2 +--R - 12480a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 112640b - 691200a b + 1775616a b - 2479488a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 2040624a b - 1000632a b + 280072a b - 39720a b + 2088a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 30720b + 168960a b - 382464a b + 461952a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 322032a b + 130632a b - 29520a b + 3336a b - 144a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 2048b + 11264a b - 24576a b + 27008a b - 15536a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 4200a b - 238a b - 77a b + 3a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 2048b - 9216a b + 16128a b - 13952a b + 6192a b +--R + +--R 5 5 6 4 7 3 +--R - 1272a b + 70a b + 3a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x)sin(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 1024b + 8704a b - 32256a b + 68096a b - 89600a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 75264a b - 39424a b + 11776a b - 1536a b +--R * +--R 19 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 6144b - 49152a b + 170496a b - 334848a b + 407040a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 313344a b + 148992a b - 39936a b + 4608a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 14336b + 107520a b - 347520a b + 631744a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 705600a b + 494976a b - 212480a b + 50880a b - 5184a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 100352a b + 301056a b - 505344a b + 518784a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 333312a b + 130816a b - 28672a b + 2688a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 1920a b + 10560a b - 23472a b + 26904a b - 16680a b +--R + +--R 7 3 8 2 +--R 5256a b - 648a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 14336b + 86016a b - 213504a b + 282624a b - 213408a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 90240a b - 18904a b + 1200a b + 72a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 78848a b + 177024a b - 208832a b + 138176a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 50304a b + 9022a b - 571a b - 3a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 6144b + 30720a b - 61440a b + 62976a b - 35040a b +--R + +--R 5 5 6 4 7 3 +--R 10272a b - 1416a b + 72a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 1024b - 4608a b + 8064a b - 6976a b + 3120a b - 696a b +--R + +--R 6 4 7 3 +--R 74a b - 3a b +--R * +--R 3 +--R cos(x) +--R * +--R cot(x) +--R * +--R 3 +--R tan(x) +--R + +--R 9 2 8 3 7 4 6 +--R - 5120a b + 28160a b - 53760a b + 17920a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R 89600a b - 161280a b + 125440a b - 48640a b + 7680a b +--R * +--R 15 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 +--R 28672a b - 138240a b + 213504a b + 16384a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 453120a b + 611328a b - 381440a b + 116736a b +--R + +--R 9 +--R - 13824a b +--R * +--R 13 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 +--R - 66560a b + 275968a b - 322688a b - 205120a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R 866240a b - 891520a b + 436992a b - 101952a b + 8640a b +--R * +--R 11 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 +--R 81920a b - 284672a b + 221184a b + 354432a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 805440a b + 629760a b - 234368a b + 39296a b +--R + +--R 9 +--R - 2112a b +--R * +--R 9 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 +--R - 56320a b + 158208a b - 56064a b - 258816a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R 381408a b - 221232a b + 58960a b - 6288a b + 144a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R 20480a b - 44032a b - 5632a b + 85376a b - 85504a b +--R + +--R 6 4 7 3 8 2 +--R 34976a b - 5952a b + 288a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R - 3072a b + 4608a b + 3456a b - 10176a b + 6816a b +--R + +--R 6 4 7 3 +--R - 1776a b + 144a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 10240b - 76800a b + 250880a b - 465920a b + 537600a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 394240a b + 179200a b - 46080a b + 5120a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 57344b + 391168a b - 1152000a b + 1908736a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 1940480a b + 1234944a b - 478208a b + 102400a b +--R + +--R 8 2 +--R - 9216a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 133120b - 818176a b + 2148608a b - 3135360a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 2765440a b - 1498880a b + 482816a b - 83328a b + 5760a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 163840b + 897024a b - 2072576a b + 2621184a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 1966464a b + 884736a b - 228608a b + 29952a b - 1408a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 112640b - 541696a b + 1082880a b - 1162752a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 722496a b - 259872a b + 50656a b - 4448a b + 96a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 40960b + 169984a b - 287744a b + 255232a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 126464a b + 34240a b - 4480a b + 192a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 6144b - 21504a b + 29952a b - 21120a b + 7872a b +--R + +--R 5 5 6 4 +--R - 1440a b + 96a b +--R * +--R 3 +--R cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 9 2 8 3 7 4 6 +--R 10240a b - 56320a b + 107520a b - 35840a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 179200a b + 322560a b - 250880a b + 97280a b +--R + +--R 9 +--R - 15360a b +--R * +--R 17 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 +--R - 59392a b + 291840a b - 466944a b - 1024a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 952320a b - 1348608a b + 880640a b - 285696a b +--R + +--R 9 +--R 36864a b +--R * +--R 15 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 +--R 141312a b - 611328a b + 783360a b + 339456a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 1943040a b + 2193408a b - 1185792a b + 314880a b +--R + +--R 9 +--R - 32256a b +--R * +--R 13 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 +--R - 174080a b + 650240a b - 616704a b - 664320a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 1924800a b - 1731840a b + 759680a b - 160256a b +--R + +--R 9 +--R 12480a b +--R * +--R 11 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 +--R 112640a b - 353280a b + 208896a b + 497280a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 932688a b + 661272a b - 228968a b + 36936a b +--R + +--R 9 +--R - 2088a b +--R * +--R 9 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 +--R - 30720a b + 76800a b - 13824a b - 132480a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R 172176a b - 94152a b + 25200a b - 3144a b + 144a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 2 8 4 6 5 5 6 4 +--R - 2048a b + 5120a b - 9856a b + 10192a b - 3816a b +--R + +--R 7 3 8 2 9 +--R 338a b + 73a b - 3a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R 2048a b - 3072a b - 2304a b + 6784a b - 4560a b +--R + +--R 6 4 7 3 8 2 +--R 1176a b - 74a b - 3a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 10 9 2 8 3 7 +--R - 20480b + 153600a b - 501760a b + 931840a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 1075200a b + 788480a b - 358400a b + 92160a b - 10240a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 118784b - 821248a b + 2457600a b - 4151296a b +--R + +--R 4 6 5 5 6 4 7 3 +--R 4321280a b - 2832384a b + 1138688a b - 256000a b +--R + +--R 8 2 +--R 24576a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 282624b + 1787904a b - 4859904a b + 7394304a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 6865920a b + 3969024a b - 1388544a b + 267264a b +--R + +--R 8 2 +--R - 21504a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 348160b - 1996800a b + 4878848a b - 6606336a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 5395584a b - 2704896a b + 806144a b - 129024a b + 8320a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 225280b + 1157120a b - 2506752a b + 2974464a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 2099040a b + 893328a b - 220784a b + 28336a b - 1392a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 61440b - 276480a b + 519168a b - 527616a b + 314592a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 111408a b + 22560a b - 2352a b + 96a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 4096b - 18432a b + 32768a b - 29440a b + 13920a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 3056a b + 92a b + 54a b - 2a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 4096b + 14336a b - 19968a b + 14080a b - 5216a b +--R + +--R 5 5 6 4 7 3 +--R 912a b - 44a b - 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R - 1024a b + 5632a b - 10752a b + 3584a b + 17920a b +--R + +--R 6 4 7 3 8 2 9 +--R - 32256a b + 25088a b - 9728a b + 1536a b +--R * +--R 19 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R 6144a b - 30720a b + 50688a b - 3072a b - 99840a b +--R + +--R 6 4 7 3 8 2 9 +--R 147456a b - 99840a b + 33792a b - 4608a b +--R * +--R 17 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R - 14336a b + 64512a b - 89472a b - 23744a b + 206400a b +--R + +--R 6 4 7 3 8 2 9 +--R - 253824a b + 149248a b - 43968a b + 5184a b +--R * +--R 15 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R 14336a b - 57344a b + 64512a b + 43008a b - 174720a b +--R + +--R 6 4 7 3 8 2 9 +--R 182784a b - 94976a b + 25088a b - 2688a b +--R * +--R 13 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 1920a b + 4800a b - 432a b - 8952a b + 10248a b +--R + +--R 8 2 9 +--R - 4392a b + 648a b +--R * +--R 11 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R - 14336a b + 43008a b - 19968a b - 67584a b + 109152a b +--R + +--R 6 4 7 3 8 2 9 +--R - 66144a b + 17240a b - 1296a b - 72a b +--R * +--R 9 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R 14336a b - 35840a b + 4992a b + 64192a b - 78784a b +--R + +--R 6 4 7 3 8 2 9 +--R 38784a b - 8258a b + 575a b + 3a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R - 6144a b + 12288a b + 3072a b - 24576a b + 22560a b +--R + +--R 6 4 7 3 8 2 +--R - 8448a b + 1320a b - 72a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R 1024a b - 1536a b - 1152a b + 3392a b - 2256a b +--R + +--R 6 4 7 3 8 2 +--R 600a b - 70a b + 3a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 2048b - 15360a b + 50176a b - 93184a b + 107520a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 78848a b + 35840a b - 9216a b + 1024a b +--R * +--R 19 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 12288b + 86016a b - 261120a b + 448512a b - 476160a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 319488a b - 132096a b + 30720a b - 3072a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 28672b - 186368a b + 523008a b - 826496a b + 803200a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 490752a b + 183808a b - 38528a b + 3456a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 28672b + 172032a b - 444416a b + 645120a b - 575232a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 322560a b - 111104a b + 21504a b - 1792a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R 3840a b - 17280a b + 31584a b - 29904a b + 15408a b +--R + +--R 7 3 8 2 +--R - 4080a b + 432a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 28672b - 143360a b + 297984a b - 331776a b + 211776a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 76224a b + 13712a b - 736a b - 48a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 28672b + 129024a b - 239360a b + 235648a b - 131712a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 41216a b - 6524a b + 378a b + 2a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 12288b - 49152a b + 79872a b - 67584a b + 31680a b +--R + +--R 5 5 6 4 7 3 +--R - 8064a b + 1008a b - 48a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R - 2048b + 7168a b - 9984a b + 7040a b - 2656a b + 528a b +--R + +--R 6 4 7 3 +--R - 52a b + 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 5120b + 43520a b - 161280a b + 340480a b - 448000a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 376320a b - 197120a b + 58880a b - 7680a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 28672b - 224256a b + 757248a b - 1439744a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 1681920a b - 1231872a b + 549376a b - 135168a b + 13824a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 66560b + 475648a b - 1450112a b + 2454080a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 2507200a b + 1569920a b - 580608a b + 113472a b +--R + +--R 8 2 +--R - 8640a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 81920b - 530432a b + 1443840a b - 2143104a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 1877568a b - 978432a b + 288640a b - 42112a b + 2112a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 56320b + 327168a b - 784128a b + 1001472a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 732576a b + 305520a b - 67472a b + 6480a b - 144a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 20480b - 105472a b + 218624a b - 234112a b + 137600a b +--R + +--R 5 5 6 4 7 3 +--R - 43168a b + 6336a b - 288a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 3072b + 13824a b - 24192a b + 20928a b - 9312a b +--R + +--R 5 5 6 4 +--R 1968a b - 144a b +--R * +--R 3 +--R cos(x) +--R * +--R 4 +--R cot(x)sin(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 10240b - 87040a b + 322560a b - 680960a b + 896000a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 752640a b + 394240a b - 117760a b + 15360a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 59392b + 470016a b - 1609728a b + 3113984a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 3717120a b + 2798592a b - 1294336a b + 334848a b +--R + +--R 8 2 +--R - 36864a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 141312b - 1035264a b + 3253248a b - 5715456a b +--R + +--R 4 6 5 5 6 4 7 3 +--R 6120960a b - 4073472a b + 1634304a b - 357888a b +--R + +--R 8 2 +--R 32256a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 174080b + 1172480a b - 3350784a b + 5286912a b +--R + +--R 4 6 5 5 6 4 7 3 +--R - 5009088a b + 2894592a b - 984448a b + 176896a b +--R + +--R 8 2 +--R - 12480a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R 112640b - 691200a b + 1775616a b - 2479488a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 2040624a b - 1000632a b + 280072a b - 39720a b + 2088a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 30720b + 168960a b - 382464a b + 461952a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 322032a b + 130632a b - 29520a b + 3336a b - 144a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 2048b + 11264a b - 24576a b + 27008a b - 15536a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 4200a b - 238a b - 77a b + 3a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 2048b - 9216a b + 16128a b - 13952a b + 6192a b +--R + +--R 5 5 6 4 7 3 +--R - 1272a b + 70a b + 3a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x)sin(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 1024b + 8704a b - 32256a b + 68096a b - 89600a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 75264a b - 39424a b + 11776a b - 1536a b +--R * +--R 19 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 6144b - 49152a b + 170496a b - 334848a b + 407040a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 313344a b + 148992a b - 39936a b + 4608a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 14336b + 107520a b - 347520a b + 631744a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 705600a b + 494976a b - 212480a b + 50880a b - 5184a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 100352a b + 301056a b - 505344a b + 518784a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 333312a b + 130816a b - 28672a b + 2688a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 1920a b + 10560a b - 23472a b + 26904a b - 16680a b +--R + +--R 7 3 8 2 +--R 5256a b - 648a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 14336b + 86016a b - 213504a b + 282624a b - 213408a b +--R + +--R 5 5 6 4 7 3 8 2 +--R 90240a b - 18904a b + 1200a b + 72a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 78848a b + 177024a b - 208832a b + 138176a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 50304a b + 9022a b - 571a b - 3a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 6144b + 30720a b - 61440a b + 62976a b - 35040a b +--R + +--R 5 5 6 4 7 3 +--R 10272a b - 1416a b + 72a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 1024b - 4608a b + 8064a b - 6976a b + 3120a b - 696a b +--R + +--R 6 4 7 3 +--R 74a b - 3a b +--R * +--R 3 +--R cos(x) +--R * +--R cot(x) +--R * +--R tan(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 5120a b + 35840a b - 107520a b + 179200a b - 179200a b +--R + +--R 8 2 9 10 +--R 107520a b - 35840a b + 5120a +--R * +--R 15 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 28672a b - 181248a b + 485376a b - 711680a b + 614400a b +--R + +--R 8 2 9 10 +--R - 310272a b + 83968a b - 9216a +--R * +--R 13 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 +--R - 66560a b + 375808a b - 886400a b + 1124480a b +--R + +--R 7 3 8 2 9 10 +--R - 820480a b + 339200a b - 71808a b + 5760a +--R * +--R 11 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 81920a b - 407552a b + 832512a b - 894336a b + 536064a b +--R + +--R 8 2 9 10 +--R - 174336a b + 27136a b - 1408a +--R * +--R 9 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 +--R - 56320a b + 242688a b - 420096a b + 371328a b +--R + +--R 7 3 8 2 9 10 +--R - 175584a b + 42144a b - 4256a b + 96a +--R * +--R 7 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 20480a b - 74752a b + 106496a b - 74368a b + 26048a b +--R + +--R 8 2 9 +--R - 4096a b + 192a b +--R * +--R 5 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 3072a b + 9216a b - 10368a b + 5376a b - 1248a b +--R + +--R 8 2 +--R 96a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 5120b - 38400a b + 122880a b - 215040a b + 215040a b +--R + +--R 5 5 7 3 8 2 9 +--R - 107520a b + 30720a b - 15360a b + 2560a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 28672b + 195584a b - 561664a b + 863744a b - 727552a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R 261632a b + 68096a b - 103936a b + 37376a b - 4608a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 66560b - 409088a b + 1041024a b - 1379776a b + 939520a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R - 187200a b - 168832a b + 127936a b - 33024a b + 2880a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 81920b + 448512a b - 995328a b + 1106816a b - 566976a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R - 4800a b + 153728a b - 72192a b + 12864a b - 704a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 56320b - 270848a b + 513280a b - 460032a b + 151200a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R 55728a b - 62464a b + 18848a b - 2080a b + 48a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 20480b + 84992a b - 133632a b + 90240a b - 9984a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 20064a b + 10784a b - 1952a b + 96a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 3072b - 10752a b + 13440a b - 5952a b - 1248a b + 1968a b +--R + +--R 6 4 7 3 +--R - 576a b + 48a b +--R * +--R 3 +--R cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 10240a b - 71680a b + 215040a b - 358400a b + 358400a b +--R + +--R 8 2 9 10 +--R - 215040a b + 71680a b - 10240a +--R * +--R 17 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 +--R - 59392a b + 380928a b - 1038336a b + 1556480a b +--R + +--R 7 3 8 2 9 10 +--R - 1382400a b + 724992a b - 206848a b + 24576a +--R * +--R 15 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 +--R 141312a b - 823296a b + 2018304a b - 2688000a b +--R + +--R 7 3 8 2 9 10 +--R 2088960a b - 940032a b + 224256a b - 21504a +--R * +--R 13 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 +--R - 174080a b + 911360a b - 1983744a b + 2311296a b +--R + +--R 7 3 8 2 9 10 +--R - 1542144a b + 581376a b - 112384a b + 8320a +--R * +--R 11 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 +--R 112640a b - 522240a b + 992256a b - 991104a b +--R + +--R 7 3 8 2 9 10 +--R 553968a b - 169680a b + 25552a b - 1392a +--R * +--R 9 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 +--R - 30720a b + 122880a b - 198144a b + 164736a b +--R + +--R 7 3 8 2 9 10 +--R - 74928a b + 18240a b - 2160a b + 96a +--R * +--R 7 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 2048a b + 8192a b - 12288a b + 8576a b - 2672a b +--R + +--R 8 2 9 10 +--R 192a b + 50a b - 2a +--R * +--R 5 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R 2048a b - 6144a b + 6912a b - 3584a b + 816a b - 48a b +--R + +--R 9 +--R - 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 10240b + 76800a b - 245760a b + 430080a b - 430080a b +--R + +--R 5 5 7 3 8 2 9 +--R 215040a b - 61440a b + 30720a b - 5120a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 59392b - 410624a b + 1199104a b - 1885184a b + 1641472a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R - 637952a b - 121856a b + 234496a b - 91136a b + 12288a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 +--R - 141312b + 893952a b - 2359296a b + 3285504a b +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 2423808a b + 640512a b + 350208a b - 336384a b + 101376a b +--R + +--R 9 +--R - 10752a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 174080b - 998400a b + 2352384a b - 2847488a b + 1705920a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R - 196800a b - 368000a b + 226176a b - 52032a b + 4160a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 112640b + 578560a b - 1197056a b + 1226112a b - 553392a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R - 48888a b + 166592a b - 70672a b + 12080a b - 696a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 30720b - 138240a b + 244224a b - 202368a b + 58224a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R 26664a b - 26184a b + 7944a b - 1032a b + 48a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 2048b - 9216a b + 15360a b - 10624a b + 816a b + 2760a b +--R + +--R 6 4 7 3 8 2 9 +--R - 1290a b + 123a b + 24a b - a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R - 2048b + 7168a b - 8960a b + 3968a b + 848a b - 1336a b +--R + +--R 6 4 7 3 8 2 +--R 386a b - 25a b - a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 1024a b + 7168a b - 21504a b + 35840a b - 35840a b +--R + +--R 8 2 9 10 +--R 21504a b - 7168a b + 1024a +--R * +--R 19 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 6144a b - 39936a b + 110592a b - 168960a b + 153600a b +--R + +--R 8 2 9 10 +--R - 82944a b + 24576a b - 3072a +--R * +--R 17 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 14336a b + 86016a b - 218496a b + 304000a b - 249600a b +--R + +--R 8 2 9 10 +--R 120576a b - 31616a b + 3456a +--R * +--R 15 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 14336a b - 78848a b + 182784a b - 231168a b + 172032a b +--R + +--R 8 2 9 10 +--R - 75264a b + 17920a b - 1792a +--R * +--R 13 +--R cos(x) +--R + +--R 5 5 6 4 7 3 8 2 9 10 +--R (- 1920a b + 7680a b - 11952a b + 8976a b - 3216a b + 432a ) +--R * +--R 11 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 14336a b + 64512a b - 116736a b + 107520a b - 52128a b +--R + +--R 8 2 9 10 +--R 12048a b - 832a b - 48a +--R * +--R 9 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 14336a b - 57344a b + 91008a b - 72320a b + 29696a b +--R + +--R 8 2 9 10 +--R - 5760a b + 382a b + 2a +--R * +--R 7 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 6144a b + 21504a b - 29184a b + 19200a b - 6240a b +--R + +--R 8 2 9 +--R 912a b - 48a b +--R * +--R 5 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R 1024a b - 3072a b + 3456a b - 1792a b + 432a b - 48a b +--R + +--R 9 +--R 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 1024b - 7680a b + 24576a b - 43008a b + 43008a b - 21504a b +--R + +--R 7 3 8 2 9 +--R 6144a b - 3072a b + 512a b +--R * +--R 19 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 6144b + 43008a b - 127488a b + 204288a b - 182784a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R 75264a b + 10752a b - 26112a b + 10752a b - 1536a b +--R * +--R 17 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 93184a b + 254336a b - 370240a b + 292352a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R - 93376a b - 32896a b + 41024a b - 14080a b + 1728a b +--R * +--R 15 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 14336b + 86016a b - 215040a b + 283136a b - 196224a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R 45696a b + 30464a b - 26880a b + 8064a b - 896a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 1920a b - 8640a b + 14832a b - 11112a b + 1728a b + 2448a b +--R + +--R 8 2 9 +--R - 1392a b + 216a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 14336b - 71680a b + 141824a b - 133632a b + 47520a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R 15648a b - 19208a b + 5656a b - 440a b - 24a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R - 14336b + 64512a b - 112512a b + 89152a b - 20352a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R - 15552a b + 11586a b - 2691a b + 192a b + a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 6144b - 24576a b + 36864a b - 23040a b + 1248a b + 5568a b +--R + +--R 6 4 7 3 8 2 +--R - 2616a b + 432a b - 24a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R - 1024b + 3584a b - 4480a b + 1984a b + 400a b - 632a b +--R + +--R 6 4 7 3 8 2 +--R 190a b - 23a b + a b +--R * +--R 3 +--R cos(x) +--R / +--R 7 6 2 5 3 4 4 3 +--R 1024b - 6144a b + 15360a b - 20480a b + 15360a b +--R + +--R 5 2 6 +--R - 6144a b + 1024a b +--R * +--R 14 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R - 5120b + 27136a b - 58880a b + 66560a b +--R + +--R 4 3 5 2 6 +--R - 40960a b + 12800a b - 1536a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 10240b - 47104a b + 86784a b - 80896a b + 39424a b +--R + +--R 5 2 6 +--R - 9216a b + 768a b +--R * +--R 10 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R - 10240b + 39936a b - 60672a b + 44928a b +--R + +--R 4 3 5 2 6 +--R - 16512a b + 2688a b - 128a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 5120b - 16384a b + 19712a b - 11008a b + 2816a b +--R + +--R 5 2 +--R - 256a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (- 1024b + 2560a b - 2304a b + 896a b - 128a b )cos(x) +--R * +--R 2 5 +--R cot(x) sin(x) +--R + +--R 7 6 2 5 3 4 +--R - 10240b + 61440a b - 153600a b + 204800a b +--R + +--R 4 3 5 2 6 +--R - 153600a b + 61440a b - 10240a b +--R * +--R 16 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R 53248b - 287744a b + 640000a b - 747520a b +--R + +--R 4 3 5 2 6 +--R 481280a b - 160768a b + 21504a b +--R * +--R 14 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R - 112640b + 541696a b - 1056512a b + 1061888a b +--R + +--R 4 3 5 2 6 +--R - 573952a b + 155648a b - 16128a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R 122880b - 518144a b + 870144a b - 735488a b +--R + +--R 4 3 5 2 6 +--R 323840a b - 68352a b + 5120a b +--R * +--R 10 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R - 71680b + 260096a b - 367360a b + 253184a b +--R + +--R 4 3 5 2 6 +--R - 86896a b + 13280a b - 624a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 20480b - 62464a b + 71936a b - 38656a b + 9632a b +--R + +--R 5 2 6 +--R - 952a b + 24a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 2048b + 5120a b - 4608a b + 1792a b - 304a b +--R + +--R 5 2 +--R 24a b +--R * +--R 4 +--R cos(x) +--R * +--R 2 3 +--R cot(x) sin(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 5120b - 30720a b + 76800a b - 102400a b + 76800a b +--R + +--R 5 2 6 +--R - 30720a b + 5120a b +--R * +--R 18 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R - 27648b + 152064a b - 345600a b + 414720a b +--R + +--R 4 3 5 2 6 +--R - 276480a b + 96768a b - 13824a b +--R * +--R 16 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R 58368b - 291840a b + 597504a b - 638976a b +--R + +--R 4 3 5 2 6 +--R 374784a b - 113664a b + 13824a b +--R * +--R 14 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R - 56320b + 253440a b - 463104a b + 438144a b +--R + +--R 4 3 5 2 6 +--R - 225408a b + 59520a b - 6272a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R 15360b - 61440a b + 101376a b - 89088a b +--R + +--R 4 3 5 2 6 +--R 44304a b - 11808a b + 1296a b +--R * +--R 10 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 15360b - 53760a b + 70656a b - 42240a b + 10512a b +--R + +--R 5 2 6 +--R - 408a b - 120a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R - 13312b + 39936a b - 44544a b + 22528a b +--R + +--R 4 3 5 2 6 +--R - 4944a b + 336a b + 4a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 3072b - 7680a b + 6912a b - 2688a b + 432a b +--R + +--R 5 2 +--R - 24a b +--R * +--R 4 +--R cos(x) +--R * +--R 2 +--R cot(x) sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 1024a b - 6144a b + 15360a b - 20480a b + 15360a b +--R + +--R 6 7 +--R - 6144a b + 1024a +--R * +--R 14 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 5120a b + 27136a b - 58880a b + 66560a b +--R + +--R 5 2 6 7 +--R - 40960a b + 12800a b - 1536a +--R * +--R 12 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R 10240a b - 47104a b + 86784a b - 80896a b +--R + +--R 5 2 6 7 +--R 39424a b - 9216a b + 768a +--R * +--R 10 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 10240a b + 39936a b - 60672a b + 44928a b +--R + +--R 5 2 6 7 +--R - 16512a b + 2688a b - 128a +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 5120a b - 16384a b + 19712a b - 11008a b + 2816a b +--R + +--R 6 +--R - 256a b +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 4 +--R (- 1024a b + 2560a b - 2304a b + 896a b - 128a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 1024b + 6144a b - 15360a b + 20480a b - 15360a b +--R + +--R 5 2 6 +--R 6144a b - 1024a b +--R * +--R 14 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 5120b - 27136a b + 58880a b - 66560a b + 40960a b +--R + +--R 5 2 6 +--R - 12800a b + 1536a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 10240b + 47104a b - 86784a b + 80896a b - 39424a b +--R + +--R 5 2 6 +--R 9216a b - 768a b +--R * +--R 10 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 10240b - 39936a b + 60672a b - 44928a b + 16512a b +--R + +--R 5 2 6 +--R - 2688a b + 128a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 5120b + 16384a b - 19712a b + 11008a b - 2816a b +--R + +--R 5 2 +--R 256a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (1024b - 2560a b + 2304a b - 896a b + 128a b )cos(x) +--R * +--R 5 +--R sin(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 10240a b + 61440a b - 153600a b + 204800a b +--R + +--R 5 2 6 7 +--R - 153600a b + 61440a b - 10240a +--R * +--R 16 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R 53248a b - 287744a b + 640000a b - 747520a b +--R + +--R 5 2 6 7 +--R 481280a b - 160768a b + 21504a +--R * +--R 14 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 112640a b + 541696a b - 1056512a b + 1061888a b +--R + +--R 5 2 6 7 +--R - 573952a b + 155648a b - 16128a +--R * +--R 12 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R 122880a b - 518144a b + 870144a b - 735488a b +--R + +--R 5 2 6 7 +--R 323840a b - 68352a b + 5120a +--R * +--R 10 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 71680a b + 260096a b - 367360a b + 253184a b +--R + +--R 5 2 6 7 +--R - 86896a b + 13280a b - 624a +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R 20480a b - 62464a b + 71936a b - 38656a b +--R + +--R 5 2 6 7 +--R 9632a b - 952a b + 24a +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 2048a b + 5120a b - 4608a b + 1792a b - 304a b +--R + +--R 6 +--R 24a b +--R * +--R 4 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 10240b - 61440a b + 153600a b - 204800a b + 153600a b +--R + +--R 5 2 6 +--R - 61440a b + 10240a b +--R * +--R 16 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R - 53248b + 287744a b - 640000a b + 747520a b +--R + +--R 4 3 5 2 6 +--R - 481280a b + 160768a b - 21504a b +--R * +--R 14 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R 112640b - 541696a b + 1056512a b - 1061888a b +--R + +--R 4 3 5 2 6 +--R 573952a b - 155648a b + 16128a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R - 122880b + 518144a b - 870144a b + 735488a b +--R + +--R 4 3 5 2 6 +--R - 323840a b + 68352a b - 5120a b +--R * +--R 10 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 71680b - 260096a b + 367360a b - 253184a b + 86896a b +--R + +--R 5 2 6 +--R - 13280a b + 624a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 20480b + 62464a b - 71936a b + 38656a b - 9632a b +--R + +--R 5 2 6 +--R 952a b - 24a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R (2048b - 5120a b + 4608a b - 1792a b + 304a b - 24a b ) +--R * +--R 4 +--R cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 6 2 5 3 4 4 3 +--R 5120a b - 30720a b + 76800a b - 102400a b +--R + +--R 5 2 6 7 +--R 76800a b - 30720a b + 5120a +--R * +--R 18 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 27648a b + 152064a b - 345600a b + 414720a b +--R + +--R 5 2 6 7 +--R - 276480a b + 96768a b - 13824a +--R * +--R 16 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R 58368a b - 291840a b + 597504a b - 638976a b +--R + +--R 5 2 6 7 +--R 374784a b - 113664a b + 13824a +--R * +--R 14 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 56320a b + 253440a b - 463104a b + 438144a b +--R + +--R 5 2 6 7 +--R - 225408a b + 59520a b - 6272a +--R * +--R 12 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R 15360a b - 61440a b + 101376a b - 89088a b +--R + +--R 5 2 6 7 +--R 44304a b - 11808a b + 1296a +--R * +--R 10 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R 15360a b - 53760a b + 70656a b - 42240a b +--R + +--R 5 2 6 7 +--R 10512a b - 408a b - 120a +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 13312a b + 39936a b - 44544a b + 22528a b +--R + +--R 5 2 6 7 +--R - 4944a b + 336a b + 4a +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 3072a b - 7680a b + 6912a b - 2688a b + 432a b +--R + +--R 6 +--R - 24a b +--R * +--R 4 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 5120b + 30720a b - 76800a b + 102400a b - 76800a b +--R + +--R 5 2 6 +--R 30720a b - 5120a b +--R * +--R 18 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 27648b - 152064a b + 345600a b - 414720a b + 276480a b +--R + +--R 5 2 6 +--R - 96768a b + 13824a b +--R * +--R 16 +--R cos(x) +--R + +--R 7 6 2 5 3 4 +--R - 58368b + 291840a b - 597504a b + 638976a b +--R + +--R 4 3 5 2 6 +--R - 374784a b + 113664a b - 13824a b +--R * +--R 14 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 56320b - 253440a b + 463104a b - 438144a b + 225408a b +--R + +--R 5 2 6 +--R - 59520a b + 6272a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 15360b + 61440a b - 101376a b + 89088a b - 44304a b +--R + +--R 5 2 6 +--R 11808a b - 1296a b +--R * +--R 10 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 15360b + 53760a b - 70656a b + 42240a b - 10512a b +--R + +--R 5 2 6 +--R 408a b + 120a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 13312b - 39936a b + 44544a b - 22528a b + 4944a b +--R + +--R 5 2 6 +--R - 336a b - 4a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 3072b + 7680a b - 6912a b + 2688a b - 432a b +--R + +--R 5 2 +--R 24a b +--R * +--R 4 +--R cos(x) +--R * +--R sin(x) +--R * +--R +--------------------+ +--R | 2 +--R +-----+ |(- b + a)cos(x) + b +--R \|b - a |-------------------- +--R | 2 +--R \| cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 5120b - 35840a b + 107520a b - 179200a b + 179200a b +--R + +--R 5 3 6 2 7 +--R - 107520a b + 35840a b - 5120a b +--R * +--R 15 +--R cos(x) +--R + +--R 8 7 2 6 3 5 +--R - 28672b + 181248a b - 485376a b + 711680a b +--R + +--R 4 4 5 3 6 2 7 +--R - 614400a b + 310272a b - 83968a b + 9216a b +--R * +--R 13 +--R cos(x) +--R + +--R 8 7 2 6 3 5 +--R 66560b - 375808a b + 886400a b - 1124480a b +--R + +--R 4 4 5 3 6 2 7 +--R 820480a b - 339200a b + 71808a b - 5760a b +--R * +--R 11 +--R cos(x) +--R + +--R 8 7 2 6 3 5 +--R - 81920b + 407552a b - 832512a b + 894336a b +--R + +--R 4 4 5 3 6 2 7 +--R - 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2088960a b + 940032a b - 224256a b + 21504a b +--R * +--R 13 +--R cos(x) +--R + +--R 8 7 2 6 3 5 +--R 174080b - 911360a b + 1983744a b - 2311296a b +--R + +--R 4 4 5 3 6 2 7 +--R 1542144a b - 581376a b + 112384a b - 8320a b +--R * +--R 11 +--R cos(x) +--R + +--R 8 7 2 6 3 5 +--R - 112640b + 522240a b - 992256a b + 991104a b +--R + +--R 4 4 5 3 6 2 7 +--R - 553968a b + 169680a b - 25552a b + 1392a b +--R * +--R 9 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 30720b - 122880a b + 198144a b - 164736a b + 74928a b +--R + +--R 5 3 6 2 7 +--R - 18240a b + 2160a b - 96a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 2048b - 8192a b + 12288a b - 8576a b + 2672a b +--R + +--R 5 3 6 2 7 +--R - 192a b - 50a b + 2a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 2048b + 6144a b - 6912a b + 3584a b - 816a b +--R + +--R 5 3 6 2 +--R 48a b + 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 2 +--R cot(x) sin(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 1024b - 7168a b + 21504a b - 35840a b + 35840a b +--R + +--R 5 3 6 2 7 +--R - 21504a b + 7168a b - 1024a b +--R * +--R 19 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 6144b + 39936a b - 110592a b + 168960a b - 153600a b +--R + +--R 5 3 6 2 7 +--R 82944a b - 24576a b + 3072a b +--R * +--R 17 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 14336b - 86016a b + 218496a b - 304000a b + 249600a b +--R + +--R 5 3 6 2 7 +--R - 120576a b + 31616a b - 3456a b +--R * +--R 15 +--R cos(x) +--R + +--R 8 7 2 6 3 5 +--R - 14336b + 78848a b - 182784a b + 231168a b +--R + +--R 4 4 5 3 6 2 7 +--R - 172032a b + 75264a b - 17920a b + 1792a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 1920a b - 7680a b + 11952a b - 8976a b + 3216a b +--R + +--R 7 +--R - 432a b +--R * +--R 11 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 14336b - 64512a b + 116736a b - 107520a b + 52128a b +--R + +--R 5 3 6 2 7 +--R - 12048a b + 832a b + 48a b +--R * +--R 9 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 14336b + 57344a b - 91008a b + 72320a b - 29696a b +--R + +--R 5 3 6 2 7 +--R 5760a b - 382a b - 2a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 6144b - 21504a b + 29184a b - 19200a b + 6240a b +--R + +--R 5 3 6 2 +--R - 912a b + 48a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 1024b + 3072a b - 3456a b + 1792a b - 432a b +--R + +--R 5 3 6 2 +--R 48a b - 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 5120a b - 35840a b + 107520a b - 179200a b + 179200a b +--R + +--R 6 2 7 8 +--R - 107520a b + 35840a b - 5120a +--R * +--R 15 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 28672a b + 181248a b - 485376a b + 711680a b +--R + +--R 5 3 6 2 7 8 +--R - 614400a b + 310272a b - 83968a b + 9216a +--R * +--R 13 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R 66560a b - 375808a b + 886400a b - 1124480a b +--R + +--R 5 3 6 2 7 8 +--R 820480a b - 339200a b + 71808a b - 5760a +--R * +--R 11 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 81920a b + 407552a b - 832512a b + 894336a b +--R + +--R 5 3 6 2 7 8 +--R - 536064a b + 174336a b - 27136a b + 1408a +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R 56320a b - 242688a b + 420096a b - 371328a b +--R + +--R 5 3 6 2 7 8 +--R 175584a b - 42144a b + 4256a b - 96a +--R * +--R 7 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 20480a b + 74752a b - 106496a b + 74368a b +--R + +--R 5 3 6 2 7 +--R - 26048a b + 4096a b - 192a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 3072a b - 9216a b + 10368a b - 5376a b + 1248a b +--R + +--R 6 2 +--R - 96a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 5120b + 35840a b - 107520a b + 179200a b - 179200a b +--R + +--R 5 3 6 2 7 +--R 107520a b - 35840a b + 5120a b +--R * +--R 15 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 28672b - 181248a b + 485376a b - 711680a b + 614400a b +--R + +--R 5 3 6 2 7 +--R - 310272a b + 83968a b - 9216a b +--R * +--R 13 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 66560b + 375808a b - 886400a b + 1124480a b - 820480a b +--R + +--R 5 3 6 2 7 +--R 339200a b - 71808a b + 5760a b +--R * +--R 11 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 81920b - 407552a b + 832512a b - 894336a b + 536064a b +--R + +--R 5 3 6 2 7 +--R - 174336a b + 27136a b - 1408a b +--R * +--R 9 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 56320b + 242688a b - 420096a b + 371328a b - 175584a b +--R + +--R 5 3 6 2 7 +--R 42144a b - 4256a b + 96a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 20480b - 74752a b + 106496a b - 74368a b + 26048a b +--R + +--R 5 3 6 2 +--R - 4096a b + 192a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R (- 3072b + 9216a b - 10368a b + 5376a b - 1248a b + 96a b ) +--R * +--R 3 +--R cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 10240a b + 71680a b - 215040a b + 358400a b +--R + +--R 5 3 6 2 7 8 +--R - 358400a b + 215040a b - 71680a b + 10240a +--R * +--R 17 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R 59392a b - 380928a b + 1038336a b - 1556480a b +--R + +--R 5 3 6 2 7 8 +--R 1382400a b - 724992a b + 206848a b - 24576a +--R * +--R 15 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 141312a b + 823296a b - 2018304a b + 2688000a b +--R + +--R 5 3 6 2 7 8 +--R - 2088960a b + 940032a b - 224256a b + 21504a +--R * +--R 13 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R 174080a b - 911360a b + 1983744a b - 2311296a b +--R + +--R 5 3 6 2 7 8 +--R 1542144a b - 581376a b + 112384a b - 8320a +--R * +--R 11 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 112640a b + 522240a b - 992256a b + 991104a b +--R + +--R 5 3 6 2 7 8 +--R - 553968a b + 169680a b - 25552a b + 1392a +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R 30720a b - 122880a b + 198144a b - 164736a b +--R + +--R 5 3 6 2 7 8 +--R 74928a b - 18240a b + 2160a b - 96a +--R * +--R 7 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 2048a b - 8192a b + 12288a b - 8576a b + 2672a b +--R + +--R 6 2 7 8 +--R - 192a b - 50a b + 2a +--R * +--R 5 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 2048a b + 6144a b - 6912a b + 3584a b - 816a b +--R + +--R 6 2 7 +--R 48a b + 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 10240b - 71680a b + 215040a b - 358400a b + 358400a b +--R + +--R 5 3 6 2 7 +--R - 215040a b + 71680a b - 10240a b +--R * +--R 17 +--R cos(x) +--R + +--R 8 7 2 6 3 5 +--R - 59392b + 380928a b - 1038336a b + 1556480a b +--R + +--R 4 4 5 3 6 2 7 +--R - 1382400a b + 724992a b - 206848a b + 24576a b +--R * +--R 15 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 141312b - 823296a b + 2018304a b - 2688000a b + 2088960a b +--R + +--R 5 3 6 2 7 +--R - 940032a b + 224256a b - 21504a b +--R * +--R 13 +--R cos(x) +--R + +--R 8 7 2 6 3 5 +--R - 174080b + 911360a b - 1983744a b + 2311296a b +--R + +--R 4 4 5 3 6 2 7 +--R - 1542144a b + 581376a b - 112384a b + 8320a b +--R * +--R 11 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 112640b - 522240a b + 992256a b - 991104a b + 553968a b +--R + +--R 5 3 6 2 7 +--R - 169680a b + 25552a b - 1392a b +--R * +--R 9 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 30720b + 122880a b - 198144a b + 164736a b - 74928a b +--R + +--R 5 3 6 2 7 +--R 18240a b - 2160a b + 96a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 2048b + 8192a b - 12288a b + 8576a b - 2672a b + 192a b +--R + +--R 6 2 7 +--R 50a b - 2a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 2048b - 6144a b + 6912a b - 3584a b + 816a b - 48a b +--R + +--R 6 2 +--R - 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 1024a b - 7168a b + 21504a b - 35840a b + 35840a b +--R + +--R 6 2 7 8 +--R - 21504a b + 7168a b - 1024a +--R * +--R 19 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 6144a b + 39936a b - 110592a b + 168960a b - 153600a b +--R + +--R 6 2 7 8 +--R 82944a b - 24576a b + 3072a +--R * +--R 17 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 14336a b - 86016a b + 218496a b - 304000a b + 249600a b +--R + +--R 6 2 7 8 +--R - 120576a b + 31616a b - 3456a +--R * +--R 15 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 14336a b + 78848a b - 182784a b + 231168a b - 172032a b +--R + +--R 6 2 7 8 +--R 75264a b - 17920a b + 1792a +--R * +--R 13 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (1920a b - 7680a b + 11952a b - 8976a b + 3216a b - 432a ) +--R * +--R 11 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 14336a b - 64512a b + 116736a b - 107520a b + 52128a b +--R + +--R 6 2 7 8 +--R - 12048a b + 832a b + 48a +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 14336a b + 57344a b - 91008a b + 72320a b - 29696a b +--R + +--R 6 2 7 8 +--R 5760a b - 382a b - 2a +--R * +--R 7 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 6144a b - 21504a b + 29184a b - 19200a b + 6240a b +--R + +--R 6 2 7 +--R - 912a b + 48a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 1024a b + 3072a b - 3456a b + 1792a b - 432a b + 48a b +--R + +--R 7 +--R - 2a b +--R * +--R 3 +--R cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 1024b + 7168a b - 21504a b + 35840a b - 35840a b + 21504a b +--R + +--R 6 2 7 +--R - 7168a b + 1024a b +--R * +--R 19 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 6144b - 39936a b + 110592a b - 168960a b + 153600a b +--R + +--R 5 3 6 2 7 +--R - 82944a b + 24576a b - 3072a b +--R * +--R 17 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 14336b + 86016a b - 218496a b + 304000a b - 249600a b +--R + +--R 5 3 6 2 7 +--R 120576a b - 31616a b + 3456a b +--R * +--R 15 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 14336b - 78848a b + 182784a b - 231168a b + 172032a b +--R + +--R 5 3 6 2 7 +--R - 75264a b + 17920a b - 1792a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (- 1920a b + 7680a b - 11952a b + 8976a b - 3216a b + 432a b) +--R * +--R 11 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 14336b + 64512a b - 116736a b + 107520a b - 52128a b +--R + +--R 5 3 6 2 7 +--R 12048a b - 832a b - 48a b +--R * +--R 9 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 14336b - 57344a b + 91008a b - 72320a b + 29696a b - 5760a b +--R + +--R 6 2 7 +--R 382a b + 2a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 6144b + 21504a b - 29184a b + 19200a b - 6240a b + 912a b +--R + +--R 6 2 +--R - 48a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R (1024b - 3072a b + 3456a b - 1792a b + 432a b - 48a b + 2a b ) +--R * +--R 3 +--R cos(x) +--R * +--R +-------------+ +--R | 2 +--R \|b tan(x) + a +--R Type: Expression Integer +--E 184 + +--S 185 of 510 +t0236:= cot(a+b*x) +--R +--R +--R (171) cot(b x + a) +--R Type: Expression Integer +--E 185 + +--S 186 of 510 +r0236:= log(sin(a+b*x))/b +--R +--R +--R log(sin(b x + a)) +--R (172) ----------------- +--R b +--R Type: Expression Integer +--E 186 + +--S 187 of 510 +a0236:= integrate(t0236,x) +--R +--R +--R sin(2b x + 2a) 2 +--R 2log(------------------) - log(------------------) +--R cos(2b x + 2a) + 1 cos(2b x + 2a) + 1 +--R (173) -------------------------------------------------- +--R 2b +--R Type: Union(Expression Integer,...) +--E 187 + +--S 188 of 510 +m0236:= a0236-r0236 +--R +--R +--R (174) +--R sin(2b x + 2a) 2 +--R 2log(------------------) - 2log(sin(b x + a)) - log(------------------) +--R cos(2b x + 2a) + 1 cos(2b x + 2a) + 1 +--R ----------------------------------------------------------------------- +--R 2b +--R Type: Expression Integer +--E 188 + +--S 189 of 510 +d0236:= D(m0236,x) +--R +--R +--R (175) +--R 2 +--R sin(b x + a)sin(2b x + 2a) +--R + +--R (- cos(b x + a)cos(2b x + 2a) - cos(b x + a))sin(2b x + 2a) +--R + +--R 2 +--R (2cos(2b x + 2a) + 2cos(2b x + 2a))sin(b x + a) +--R / +--R (cos(2b x + 2a) + 1)sin(b x + a)sin(2b x + 2a) +--R Type: Expression Integer +--E 189 + +--S 190 of 510 +t0237:= cot(a+b*x)^2 +--R +--R +--R 2 +--R (176) cot(b x + a) +--R Type: Expression Integer +--E 190 + +--S 191 of 510 +r0237:= -x-cot(a+b*x)/b +--R +--R +--R - cot(b x + a) - b x +--R (177) -------------------- +--R b +--R Type: Expression Integer +--E 191 + +--S 192 of 510 +a0237:= integrate(t0237,x) +--R +--R +--R - b x sin(2b x + 2a) - cos(2b x + 2a) - 1 +--R (178) ----------------------------------------- +--R b sin(2b x + 2a) +--R Type: Union(Expression Integer,...) +--E 192 + +--S 193 of 510 +m0237:= a0237-r0237 +--R +--R +--R cot(b x + a)sin(2b x + 2a) - cos(2b x + 2a) - 1 +--R (179) ----------------------------------------------- +--R b sin(2b x + 2a) +--R Type: Expression Integer +--E 193 + +--S 194 of 510 +d0237:= D(m0237,x) +--R +--R +--R (180) +--R 2 2 2 +--R (- cot(b x + a) + 1)sin(2b x + 2a) + 2cos(2b x + 2a) + 2cos(2b x + 2a) +--R ------------------------------------------------------------------------- +--R 2 +--R sin(2b x + 2a) +--R Type: Expression Integer +--E 194 + +--S 195 of 510 +t0238:= x*cot(a+b*x) +--R +--R +--R (181) x cot(b x + a) +--R Type: Expression Integer +--E 195 + +--S 196 of 510 +r0238:= -1/2*%i*x^2+x*log(1-exp(1)^(2*%i*a+2*%i*b*x))/b-1/2*%i*polylog(2,exp(1)^(2*%i*a+2*%i*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 Complex 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 196 + +--S 197 of 510 +a0238:= integrate(t0238,x) +--R +--R +--R x +--R ++ +--R (182) | %H cot(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 197 + +--S 198 of 510 +m0238:= a0238-r0238 +--R +--R +--R x +--R ++ +--R (183) | %H cot(%H b + a)d%H - r0238 +--R ++ +--R Type: Expression Integer +--E 198 + +--S 199 of 510 +d0238:= D(m0238,x) +--R +--R +--R (184) x cot(b x + a) +--R Type: Expression Integer +--E 199 + +--S 200 of 510 +t0239:= x*cot(a+b*x)^2 +--R +--R +--R 2 +--R (185) x cot(b x + a) +--R Type: Expression Integer +--E 200 + +--S 201 of 510 +r0239:= -1/2*x^2-x*cot(a+b*x)/b+log(sin(a+b*x))/b^2 +--R +--R +--R 2 2 +--R 2log(sin(b x + a)) - 2b x cot(b x + a) - b x +--R (186) --------------------------------------------- +--R 2 +--R 2b +--R Type: Expression Integer +--E 201 + +--S 202 of 510 +a0239:= integrate(t0239,x) +--R +--R +--R (187) +--R sin(2b x + 2a) +--R 2sin(2b x + 2a)log(------------------) +--R cos(2b x + 2a) + 1 +--R + +--R 2 2 2 +--R - sin(2b x + 2a)log(------------------) - b x sin(2b x + 2a) +--R cos(2b x + 2a) + 1 +--R + +--R - 2b x cos(2b x + 2a) - 2b x +--R / +--R 2 +--R 2b sin(2b x + 2a) +--R Type: Union(Expression Integer,...) +--E 202 + +--S 203 of 510 +m0239:= a0239-r0239 +--R +--R +--R (188) +--R sin(2b x + 2a) +--R 2sin(2b x + 2a)log(------------------) - 2sin(2b x + 2a)log(sin(b x + a)) +--R cos(2b x + 2a) + 1 +--R + +--R 2 +--R - sin(2b x + 2a)log(------------------) + 2b x cot(b x + a)sin(2b x + 2a) +--R cos(2b x + 2a) + 1 +--R + +--R - 2b x cos(2b x + 2a) - 2b x +--R / +--R 2 +--R 2b sin(2b x + 2a) +--R Type: Expression Integer +--E 203 + +--S 204 of 510 +d0239:= D(m0239,x) +--R +--R +--R (189) +--R 3 +--R sin(b x + a)sin(2b x + 2a) +--R + +--R 2 +--R (- b x cos(2b x + 2a) - b x)cot(b x + a) +--R + +--R (cos(2b x + 2a) + 1)cot(b x + a) + b x cos(2b x + 2a) + b x +--R * +--R sin(b x + a) +--R + +--R - cos(b x + a)cos(2b x + 2a) - cos(b x + a) +--R * +--R 2 +--R sin(2b x + 2a) +--R + +--R 2 +--R (cos(2b x + 2a) - 1)sin(b x + a)sin(2b x + 2a) +--R + +--R 3 2 +--R (2b x cos(2b x + 2a) + 4b x cos(2b x + 2a) + 2b x cos(2b x + 2a)) +--R * +--R sin(b x + a) +--R / +--R 2 +--R (b cos(2b x + 2a) + b)sin(b x + a)sin(2b x + 2a) +--R Type: Expression Integer +--E 204 + +--S 205 of 510 +t0240:= x*cot(a+b*x)^3 +--R +--R +--R 3 +--R (190) x cot(b x + a) +--R Type: Expression Integer +--E 205 + +--S 206 of 510 +r0240:= 1/2*%i*x^2-1/2*cot(a+b*x)/b^2-1/2*x*csc(a+b*x)^2/b-x*log(1-exp(1)^(2*%i*a+2*%i*b*x))/b+1/2*%i*polylog(2,exp(1)^(2*%i*a+2*%i*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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 206 + +--S 207 of 510 +a0240:= integrate(t0240,x) +--R +--R +--R x +--R ++ 3 +--R (191) | %H cot(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 207 + +--S 208 of 510 +m0240:= a0240-r0240 +--R +--R +--R x +--R ++ 3 +--R (192) | %H cot(%H b + a) d%H - r0240 +--R ++ +--R Type: Expression Integer +--E 208 + +--S 209 of 510 +d0240:= D(m0240,x) +--R +--R +--R 3 +--R (193) x cot(b x + a) +--R Type: Expression Integer +--E 209 + +--S 210 of 510 +t0241:= x^2*cot(a+b*x) +--R +--R +--R 2 +--R (194) x cot(b x + a) +--R Type: Expression Integer +--E 210 + +--S 211 of 510 +r0241:= 1/6*(-2*%i*x^3*b^3+6*x^2*log(1-exp(2*%i*(a+b*x)))*b^2-6*%i*x*polylog(2,exp(2*%i*(a+b*x)))*b+3*polylog(3,exp(2*%i*(a+b*x))))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 211 + +--S 212 of 510 +a0241:= integrate(t0241,x) +--R +--R +--R x +--R ++ 2 +--R (195) | %H cot(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 212 + +--S 213 of 510 +m0241:= a0241-r0241 +--R +--R +--R x +--R ++ 2 +--R (196) | %H cot(%H b + a)d%H - r0241 +--R ++ +--R Type: Expression Integer +--E 213 + +--S 214 of 510 +d0241:= D(m0241,x) +--R +--R +--R 2 +--R (197) x cot(b x + a) +--R Type: Expression Integer +--E 214 + +--S 215 of 510 +t0242:= x^2*cot(a+b*x)^2 +--R +--R +--R 2 2 +--R (198) x cot(b x + a) +--R Type: Expression Integer +--E 215 + +--S 216 of 510 +r0242:= 1/3*(-3*%i*x^2*b^2-b^3*x^3-3*x^2*cot(a+b*x)*b^2+6*x*log(1-exp(2*%i*(a+b*x)))*b-3*%i*polylog(2,exp(2*%i*(a+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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 216 + +--S 217 of 510 +a0242:= integrate(t0242,x) +--R +--R +--R x +--R ++ 2 2 +--R (199) | %H cot(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 217 + +--S 218 of 510 +m0242:= a0242-r0242 +--R +--R +--R x +--R ++ 2 2 +--R (200) | %H cot(%H b + a) d%H - r0242 +--R ++ +--R Type: Expression Integer +--E 218 + +--S 219 of 510 +d0242:= D(m0242,x) +--R +--R +--R 2 2 +--R (201) x cot(b x + a) +--R Type: Expression Integer +--E 219 + +--S 220 of 510 +t0243:= x^2*cot(a+b*x)^3 +--R +--R +--R 2 3 +--R (202) x cot(b x + a) +--R Type: Expression Integer +--E 220 + +--S 221 of 510 +r0243:= 1/3*%i*x^3-x*cot(a+b*x)/b^2-1/2*x^2*csc(a+b*x)^2/b-x^2*log(1-exp(1)^(2*%i*a+2*%i*b*x))/b+log(sin(a+b*x))/b^3+%i*x*polylog(2,exp(1)^(2*%i*a+2*%i*b*x))/b^2-1/2*polylog(3,exp(1)^(2*%i*a+2*%i*b*x))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 221 + +--S 222 of 510 +a0243:= integrate(t0243,x) +--R +--R +--R x +--R ++ 2 3 +--R (203) | %H cot(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 222 + +--S 223 of 510 +m0243:= a0243-r0243 +--R +--R +--R x +--R ++ 2 3 +--R (204) | %H cot(%H b + a) d%H - r0243 +--R ++ +--R Type: Expression Integer +--E 223 + +--S 224 of 510 +d0243:= D(m0243,x) +--R +--R +--R 2 3 +--R (205) x cot(b x + a) +--R Type: Expression Integer +--E 224 + +--S 225 of 510 +t0244:= x^3*cot(a+b*x) +--R +--R +--R 3 +--R (206) x cot(b x + a) +--R Type: Expression Integer +--E 225 + +--S 226 of 510 +r0244:= 1/4*(-%i*x^4*b^4+4*x^3*log(1-exp(2*%i*(a+b*x)))*b^3-6*%i*x^2*polylog(2,exp(2*%i*(a+b*x)))*b^2+6*x*polylog(3,exp(2*%i*(a+b*x)))*b+3*%i*polylog(4,exp(2*%i*(a+b*x))))/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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 226 + +--S 227 of 510 +a0244:= integrate(t0244,x) +--R +--R +--R x +--R ++ 3 +--R (207) | %H cot(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 227 + +--S 228 of 510 +m0244:= a0244-r0244 +--R +--R +--R x +--R ++ 3 +--R (208) | %H cot(%H b + a)d%H - r0244 +--R ++ +--R Type: Expression Integer +--E 228 + +--S 229 of 510 +d0244:= D(m0244,x) +--R +--R +--R 3 +--R (209) x cot(b x + a) +--R Type: Expression Integer +--E 229 + +--S 230 of 510 +t0245:= x^3*cot(a+b*x)^2 +--R +--R +--R 3 2 +--R (210) x cot(b x + a) +--R Type: Expression Integer +--E 230 + +--S 231 of 510 +r0245:= 1/4*(-4*%i*x^3*b^3-x^4*b^4-4*x^3*cot(a+b*x)*b^3+12*x^2*log(1-exp(2*%i*(a+b*x)))*b^2-12*%i*x*polylog(2,exp(2*%i*(a+b*x)))*b+6*polylog(3,exp(2*%i*(a+b*x))))/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 231 + +--S 232 of 510 +a0245:= integrate(t0245,x) +--R +--R +--R x +--R ++ 3 2 +--R (211) | %H cot(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 232 + +--S 233 of 510 +m0245:= a0245-r0245 +--R +--R +--R x +--R ++ 3 2 +--R (212) | %H cot(%H b + a) d%H - r0245 +--R ++ +--R Type: Expression Integer +--E 233 + +--S 234 of 510 +d0245:= D(m0245,x) +--R +--R +--R 3 2 +--R (213) x cot(b x + a) +--R Type: Expression Integer +--E 234 + +--S 235 of 510 +t0246:= x^3*cot(a+b*x)^3 +--R +--R +--R 3 3 +--R (214) x cot(b x + a) +--R Type: Expression Integer +--E 235 + +--S 236 of 510 +r0246:= -3/2*%i*x^2/b^2+1/4*%i*x^4-3/2*x^2*cot(a+b*x)/b^2-1/2*x^3*csc(a+b*x)^2/b+3*x*log(1-exp(1)^(2*%i*a+2*%i*b*x))/b^3-x^3*log(1-exp(1)^(2*%i*a+2*%i*b*x))/b-3/2*%i*(1-b^2*x^2)*polylog(2,exp(1)^(2*%i*a+2*%i*b*x))/b^4-3/2*x*polylog(3,exp(1)^(2*%i*a+2*%i*b*x))/b^3-3/4*%i*polylog(4,exp(1)^(2*%i*a+2*%i*b*x))/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 Complex 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 236 + +--S 237 of 510 +a0246:= integrate(t0246,x) +--R +--R +--R x +--R ++ 3 3 +--R (215) | %H cot(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 237 + +--S 238 of 510 +m0246:= a0246-r0246 +--R +--R +--R x +--R ++ 3 3 +--R (216) | %H cot(%H b + a) d%H - r0246 +--R ++ +--R Type: Expression Integer +--E 238 + +--S 239 of 510 +d0246:= D(m0246,x) +--R +--R +--R 3 3 +--R (217) x cot(b x + a) +--R Type: Expression Integer +--E 239 + +--S 240 of 510 +t0247:= (a*cot(x)^2)^(1/2) +--R +--R +--R +---------+ +--R | 2 +--R (218) \|a cot(x) +--R Type: Expression Integer +--E 240 + +--S 241 of 510 +r0247:= (a*cot(x)^2)^(1/2)*log(sin(x))*tan(x) +--R +--R +--R +---------+ +--R | 2 +--R (219) tan(x)log(sin(x))\|a cot(x) +--R Type: Expression Integer +--E 241 + +--S 242 of 510 +a0247:= integrate(t0247,x) +--R +--R +--R +-+ sin(2x) +-+ 2 +--R 2\|a log(-----------) - \|a log(-----------) +--R cos(2x) + 1 cos(2x) + 1 +--R (220) -------------------------------------------- +--R 2 +--R Type: Union(Expression Integer,...) +--E 242 + +--S 243 of 510 +m0247:= a0247-r0247 +--R +--R +--R (221) +--R +---------+ +--R | 2 +-+ sin(2x) +--R - 2tan(x)log(sin(x))\|a cot(x) + 2\|a log(-----------) +--R cos(2x) + 1 +--R + +--R +-+ 2 +--R - \|a log(-----------) +--R cos(2x) + 1 +--R / +--R 2 +--R Type: Expression Integer +--E 243 + +--S 244 of 510 +d0247:= D(m0247,x) +--R +--R +--R (222) +--R +---------+ +--R 2 2 +-+ | 2 +--R (sin(x)sin(2x) + (2cos(2x) + 2cos(2x))sin(x))\|a \|a cot(x) +--R + +--R 2 2 +--R (- a cos(2x) - a)cot(x) sin(x)sin(2x)tan(x) +--R + +--R 3 +--R ((a cos(2x) + a)cot(x) + (a cos(2x) + a)cot(x))sin(x)sin(2x)tan(x) +--R + +--R 2 +--R (- a cos(2x) - a)cot(x) sin(x)sin(2x) +--R * +--R log(sin(x)) +--R + +--R 2 +--R (- a cos(x)cos(2x) - a cos(x))cot(x) sin(2x)tan(x) +--R / +--R +---------+ +--R | 2 +--R (cos(2x) + 1)sin(x)sin(2x)\|a cot(x) +--R Type: Expression Integer +--E 244 + +--S 245 of 510 +t0248:= (a*cot(x)^3)^(1/2) +--R +--R +--R +---------+ +--R | 3 +--R (223) \|a cot(x) +--R Type: Expression Integer +--E 245 + +--S 246 of 510 +r0248:= 1/4*(a*cot(x)^3)^(1/2)*(2*2^(1/2)*atan(-1+2^(1/2)*cot(x)^(1/2))+2*2^(1/2)*atan(1+2^(1/2)*cot(x)^(1/2))-8*cot(x)^(1/2)-log(1-2^(1/2)*cot(x)^(1/2)+cot(x))*2^(1/2)+log(1+2^(1/2)*cot(x)^(1/2)+cot(x))*2^(1/2))/cot(x)^(3/2) +--R +--R +--R (224) +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R \|2 \|a cot(x) log(\|2 \|cot(x) + cot(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R - \|2 \|a cot(x) log(- \|2 \|cot(x) + cot(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R 2\|2 \|a cot(x) atan(\|2 \|cot(x) + 1) +--R + +--R +---------+ +---------+ +--R +-+ | 3 +-+ +------+ +------+ | 3 +--R 2\|2 \|a cot(x) atan(\|2 \|cot(x) - 1) - 8\|cot(x) \|a cot(x) +--R / +--R +------+ +--R 4cot(x)\|cot(x) +--R Type: Expression Integer +--E 246 + +--S 247 of 510 +a0248:= integrate(t0248,x) +--R +--R +--R >> System error: +--R Cannot take first of an empty list +--R +--R Continuing to read the file... +--R +--E 247 + +--S 248 of 510 +m0248:= a0248-r0248 +--R +--R +--R (225) +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R - \|2 \|a cot(x) log(\|2 \|cot(x) + cot(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R \|2 \|a cot(x) log(- \|2 \|cot(x) + cot(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R - 2\|2 \|a cot(x) atan(\|2 \|cot(x) + 1) +--R + +--R +---------+ +---------+ +--R +-+ | 3 +-+ +------+ +------+ | 3 +--R - 2\|2 \|a cot(x) atan(\|2 \|cot(x) - 1) + 8\|cot(x) \|a cot(x) +--R + +--R +------+ +--R 4a0248 cot(x)\|cot(x) +--R / +--R +------+ +--R 4cot(x)\|cot(x) +--R Type: Expression Integer +--E 248 + +--S 249 of 510 +d0248:= D(m0248,x) +--R +--R +--R 3 +--R a cot(x) +--R (226) - ------------ +--R +---------+ +--R | 3 +--R \|a cot(x) +--R Type: Expression Integer +--E 249 + +--S 250 of 510 +t0249:= (a*cot(x)^3)^(3/2) +--R +--R +--R +---------+ +--R 3 | 3 +--R (227) a cot(x) \|a cot(x) +--R Type: Expression Integer +--E 250 + +--S 251 of 510 +r0249:= -1/84*a*(a*cot(x)^3)^(1/2)*(42*2^(1/2)*atan(-1+2^(1/2)*cot(x)^(1/2))+42*2^(1/2)*atan(1+2^(1/2)*cot(x)^(1/2))-56*cot(x)^(3/2)+24*cot(x)^(7/2)+21*log(1-2^(1/2)*cot(x)^(1/2)+cot(x))*2^(1/2)-21*log(1+2^(1/2)*cot(x)^(1/2)+cot(x))*2^(1/2))/cot(x)^(3/2) +--R +--R +--R (228) +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R 21a\|2 \|a cot(x) log(\|2 \|cot(x) + cot(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R - 21a\|2 \|a cot(x) log(- \|2 \|cot(x) + cot(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R - 42a\|2 \|a cot(x) atan(\|2 \|cot(x) + 1) +--R + +--R +---------+ +--R +-+ | 3 +-+ +------+ +--R - 42a\|2 \|a cot(x) atan(\|2 \|cot(x) - 1) +--R + +--R +---------+ +--R 3 +------+ | 3 +--R (- 24a cot(x) + 56a cot(x))\|cot(x) \|a cot(x) +--R / +--R +------+ +--R 84cot(x)\|cot(x) +--R Type: Expression Integer +--E 251 + +--S 252 of 510 +a0249:= integrate(t0249,x) +--R +--R +--R (229) +--R 2 10 2 8 2 6 2 4 +--R 10240a cos(x) - 25088a cos(x) + 7616a cos(x) + 16744a cos(x) +--R + +--R 2 2 2 +--R - 9366a cos(x) - 140a +--R * +--R sin(x) +--R + +--R 2 9 2 7 2 5 2 3 +--R - 19712a cos(x) + 52864a cos(x) - 44044a cos(x) + 8638a cos(x) +--R + +--R 2 +--R 2254a cos(x) +--R * +--R +--------+ +--R |a cos(x) +--R |-------- +--R \| sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R 5120a \|2 cos(x) - 21120a \|2 cos(x) + 20512a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 2 2 +-+ +--R - 702a \|2 cos(x) - 3758a \|2 cos(x) - 10a \|2 +--R * +--R sin(x) +--R + +--R 2 +-+ 11 2 +-+ 9 2 +-+ 7 +--R - 5120a \|2 cos(x) + 3968a \|2 cos(x) + 17504a \|2 cos(x) +--R + +--R 2 +-+ 5 2 +-+ 3 2 +-+ +--R - 25270a \|2 cos(x) + 8428a \|2 cos(x) + 490a \|2 cos(x) +--R * +--R +---+ +--R \|- a +--R / +--R +-+ 8 +-+ 6 +-+ 4 +--R 9408\|2 cos(x) - 28224\|2 cos(x) + 28077\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R - 9114\|2 cos(x) - 147\|2 +--R * +--R sin(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 10752\|2 cos(x) - 43008\|2 cos(x) + 62160\|2 cos(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 35952\|2 cos(x) + 3696\|2 cos(x) + 2352\|2 cos(x) +--R * +--R +--------+ +--R +---+ |a cos(x) +--R \|- a |-------- +--R \| sin(x) +--R + +--R 10 8 6 4 +--R - 10752a cos(x) + 25536a cos(x) - 11088a cos(x) - 11403a cos(x) +--R + +--R 2 +--R 7686a cos(x) + 21a +--R * +--R sin(x) +--R + +--R 11 9 7 5 +--R - 10752a cos(x) + 49728a cos(x) - 83664a cos(x) + 60123a cos(x) +--R + +--R 3 +--R - 14406a cos(x) - 1029a cos(x) +--R Type: Union(Expression Integer,...) +--E 252 + +--S 253 of 510 +m0249:= a0249-r0249 +--R +--R +--R (230) +--R 8 6 4 +--R - 18816a cos(x) + 56448a cos(x) - 56154a cos(x) +--R + +--R 2 +--R 18228a cos(x) + 294a +--R * +--R sin(x) +--R + +--R 11 9 7 +--R - 21504a cos(x) + 86016a cos(x) - 124320a cos(x) +--R + +--R 5 3 +--R 71904a cos(x) - 7392a cos(x) - 4704a cos(x) +--R * +--R +--------+ +--R +---+ |a cos(x) +--R \|- a |-------- +--R \| sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R 10752a \|2 cos(x) - 25536a \|2 cos(x) + 11088a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 2 2 +-+ +--R 11403a \|2 cos(x) - 7686a \|2 cos(x) - 21a \|2 +--R * +--R sin(x) +--R + +--R 2 +-+ 11 2 +-+ 9 2 +-+ 7 +--R 10752a \|2 cos(x) - 49728a \|2 cos(x) + 83664a \|2 cos(x) +--R + +--R 2 +-+ 5 2 +-+ 3 2 +-+ +--R - 60123a \|2 cos(x) + 14406a \|2 cos(x) + 1029a \|2 cos(x) +--R * +--R +---------+ +--R | 3 +-+ +------+ +--R \|a cot(x) log(\|2 \|cot(x) + cot(x) + 1) +--R + +--R 8 6 4 +--R 18816a cos(x) - 56448a cos(x) + 56154a cos(x) +--R + +--R 2 +--R - 18228a cos(x) - 294a +--R * +--R sin(x) +--R + +--R 11 9 7 +--R 21504a cos(x) - 86016a cos(x) + 124320a cos(x) +--R + +--R 5 3 +--R - 71904a cos(x) + 7392a cos(x) + 4704a cos(x) +--R * +--R +--------+ +--R +---+ |a cos(x) +--R \|- a |-------- +--R \| sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R - 10752a \|2 cos(x) + 25536a \|2 cos(x) - 11088a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 2 2 +-+ +--R - 11403a \|2 cos(x) + 7686a \|2 cos(x) + 21a \|2 +--R * +--R sin(x) +--R + +--R 2 +-+ 11 2 +-+ 9 2 +-+ 7 +--R - 10752a \|2 cos(x) + 49728a \|2 cos(x) - 83664a \|2 cos(x) +--R + +--R 2 +-+ 5 2 +-+ 3 2 +-+ +--R 60123a \|2 cos(x) - 14406a \|2 cos(x) - 1029a \|2 cos(x) +--R * +--R +---------+ +--R | 3 +-+ +------+ +--R \|a cot(x) log(- \|2 \|cot(x) + cot(x) + 1) +--R + +--R 8 6 4 +--R 37632a cos(x) - 112896a cos(x) + 112308a cos(x) +--R + +--R 2 +--R - 36456a cos(x) - 588a +--R * +--R sin(x) +--R + +--R 11 9 7 +--R 43008a cos(x) - 172032a cos(x) + 248640a cos(x) +--R + +--R 5 3 +--R - 143808a cos(x) + 14784a cos(x) + 9408a cos(x) +--R * +--R +--------+ +--R +---+ |a cos(x) +--R \|- a |-------- +--R \| sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R - 21504a \|2 cos(x) + 51072a \|2 cos(x) - 22176a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 2 2 +-+ +--R - 22806a \|2 cos(x) + 15372a \|2 cos(x) + 42a \|2 +--R * +--R sin(x) +--R + +--R 2 +-+ 11 2 +-+ 9 2 +-+ 7 +--R - 21504a \|2 cos(x) + 99456a \|2 cos(x) - 167328a \|2 cos(x) +--R + +--R 2 +-+ 5 2 +-+ 3 2 +-+ +--R 120246a \|2 cos(x) - 28812a \|2 cos(x) - 2058a \|2 cos(x) +--R * +--R +---------+ +--R | 3 +-+ +------+ +--R \|a cot(x) atan(\|2 \|cot(x) + 1) +--R + +--R 8 6 4 +--R 37632a cos(x) - 112896a cos(x) + 112308a cos(x) +--R + +--R 2 +--R - 36456a cos(x) - 588a +--R * +--R sin(x) +--R + +--R 11 9 7 +--R 43008a cos(x) - 172032a cos(x) + 248640a cos(x) +--R + +--R 5 3 +--R - 143808a cos(x) + 14784a cos(x) + 9408a cos(x) +--R * +--R +--------+ +--R +---+ |a cos(x) +--R \|- a |-------- +--R \| sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R - 21504a \|2 cos(x) + 51072a \|2 cos(x) - 22176a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 2 2 +-+ +--R - 22806a \|2 cos(x) + 15372a \|2 cos(x) + 42a \|2 +--R * +--R sin(x) +--R + +--R 2 +-+ 11 2 +-+ 9 2 +-+ 7 +--R - 21504a \|2 cos(x) + 99456a \|2 cos(x) - 167328a \|2 cos(x) +--R + +--R 2 +-+ 5 2 +-+ 3 2 +-+ +--R 120246a \|2 cos(x) - 28812a \|2 cos(x) - 2058a \|2 cos(x) +--R * +--R +---------+ +--R | 3 +-+ +------+ +--R \|a cot(x) atan(\|2 \|cot(x) - 1) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 10752a\|2 cos(x) - 32256a\|2 cos(x) + 32088a\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R - 10416a\|2 cos(x) - 168a\|2 +--R * +--R 3 +--R cot(x) +--R + +--R +-+ 8 +-+ 6 +--R - 25088a\|2 cos(x) + 75264a\|2 cos(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R - 74872a\|2 cos(x) + 24304a\|2 cos(x) + 392a\|2 +--R * +--R cot(x) +--R * +--R sin(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 12288a\|2 cos(x) - 49152a\|2 cos(x) + 71040a\|2 cos(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 41088a\|2 cos(x) + 4224a\|2 cos(x) + 2688a\|2 cos(x) +--R * +--R 3 +--R cot(x) +--R + +--R +-+ 11 +-+ 9 +--R - 28672a\|2 cos(x) + 114688a\|2 cos(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 165760a\|2 cos(x) + 95872a\|2 cos(x) - 9856a\|2 cos(x) +--R + +--R +-+ +--R - 6272a\|2 cos(x) +--R * +--R cot(x) +--R * +--R +--------+ +--R +---+ |a cos(x) +--R \|- a |-------- +--R \| sin(x) +--R + +--R 2 10 2 8 2 6 +--R - 12288a cos(x) + 29184a cos(x) - 12672a cos(x) +--R + +--R 2 4 2 2 2 +--R - 13032a cos(x) + 8784a cos(x) + 24a +--R * +--R 3 +--R cot(x) +--R + +--R 2 10 2 8 2 6 +--R 28672a cos(x) - 68096a cos(x) + 29568a cos(x) +--R + +--R 2 4 2 2 2 +--R 30408a cos(x) - 20496a cos(x) - 56a +--R * +--R cot(x) +--R * +--R sin(x) +--R + +--R 2 11 2 9 2 7 +--R - 12288a cos(x) + 56832a cos(x) - 95616a cos(x) +--R + +--R 2 5 2 3 2 +--R 68712a cos(x) - 16464a cos(x) - 1176a cos(x) +--R * +--R 3 +--R cot(x) +--R + +--R 2 11 2 9 2 7 +--R 28672a cos(x) - 132608a cos(x) + 223104a cos(x) +--R + +--R 2 5 2 3 2 +--R - 160328a cos(x) + 38416a cos(x) + 2744a cos(x) +--R * +--R cot(x) +--R * +--R +---------+ +--R +------+ | 3 +--R \|cot(x) \|a cot(x) +--R + +--R 2 10 2 8 2 6 +--R 40960a cos(x) - 100352a cos(x) + 30464a cos(x) +--R + +--R 2 4 2 2 2 +--R 66976a cos(x) - 37464a cos(x) - 560a +--R * +--R cot(x)sin(x) +--R + +--R 2 9 2 7 2 5 +--R - 78848a cos(x) + 211456a cos(x) - 176176a cos(x) +--R + +--R 2 3 2 +--R 34552a cos(x) + 9016a cos(x) +--R * +--R cot(x) +--R * +--R +--------+ +--R |a cos(x) +--R |-------- +--R \| sin(x) +--R + +--R 2 +-+ 10 2 +-+ 8 2 +-+ 6 +--R 20480a \|2 cos(x) - 84480a \|2 cos(x) + 82048a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 2 2 +-+ +--R - 2808a \|2 cos(x) - 15032a \|2 cos(x) - 40a \|2 +--R * +--R cot(x)sin(x) +--R + +--R 2 +-+ 11 2 +-+ 9 +--R - 20480a \|2 cos(x) + 15872a \|2 cos(x) +--R + +--R 2 +-+ 7 2 +-+ 5 2 +-+ 3 +--R 70016a \|2 cos(x) - 101080a \|2 cos(x) + 33712a \|2 cos(x) +--R + +--R 2 +-+ +--R 1960a \|2 cos(x) +--R * +--R cot(x) +--R * +--R +---+ +--R \|- a +--R * +--R +------+ +--R \|cot(x) +--R / +--R +-+ 8 +-+ 6 +-+ 4 +--R 37632\|2 cos(x) - 112896\|2 cos(x) + 112308\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R - 36456\|2 cos(x) - 588\|2 +--R * +--R cot(x)sin(x) +--R + +--R +-+ 11 +-+ 9 +-+ 7 +--R 43008\|2 cos(x) - 172032\|2 cos(x) + 248640\|2 cos(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 143808\|2 cos(x) + 14784\|2 cos(x) + 9408\|2 cos(x) +--R * +--R cot(x) +--R * +--R +--------+ +--R +---+ |a cos(x) +--R \|- a |-------- +--R \| sin(x) +--R + +--R 10 8 6 +--R - 43008a cos(x) + 102144a cos(x) - 44352a cos(x) +--R + +--R 4 2 +--R - 45612a cos(x) + 30744a cos(x) + 84a +--R * +--R cot(x)sin(x) +--R + +--R 11 9 7 +--R - 43008a cos(x) + 198912a cos(x) - 334656a cos(x) +--R + +--R 5 3 +--R 240492a cos(x) - 57624a cos(x) - 4116a cos(x) +--R * +--R cot(x) +--R * +--R +------+ +--R \|cot(x) +--R Type: Expression Integer +--E 253 + +--S 254 of 510 +d0249:= D(m0249,x) +--R +--R +--R (231) +--R +-+ 15 +-+ 13 +--R 9175040a\|2 cos(x) - 22020096a\|2 cos(x) +--R + +--R +-+ 11 +-+ 9 +--R 24399872a\|2 cos(x) - 24485888a\|2 cos(x) +--R + +--R +-+ 7 +-+ 5 +--R 17492608a\|2 cos(x) - 4528384a\|2 cos(x) +--R + +--R +-+ 3 +-+ +--R - 24724a\|2 cos(x) - 196a\|2 cos(x) +--R * +--R 5 +--R sin(x) +--R + +--R +-+ 18 +-+ 16 +--R - 5242880a\|2 cos(x) + 22544384a\|2 cos(x) +--R + +--R +-+ 14 +-+ 12 +--R - 8962048a\|2 cos(x) - 88121344a\|2 cos(x) +--R + +--R +-+ 10 +-+ 8 +--R 159368704a\|2 cos(x) - 97816832a\|2 cos(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R 16486708a\|2 cos(x) + 1723862a\|2 cos(x) + 19110a\|2 cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 19 +-+ 17 +--R 5242880a\|2 cos(x) + 7864320a\|2 cos(x) +--R + +--R +-+ 15 +-+ 13 +--R - 120799232a\|2 cos(x) + 278634496a\|2 cos(x) +--R + +--R +-+ 11 +-+ 9 +--R - 258696704a\|2 cos(x) + 87071488a\|2 cos(x) +--R + +--R +-+ 7 +-+ 5 +--R 7177548a\|2 cos(x) - 6162702a\|2 cos(x) +--R + +--R +-+ 3 +-+ +--R - 331996a\|2 cos(x) - 98a\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 20 +-+ 18 +--R - 5242880a\|2 cos(x) + 5767168a\|2 cos(x) +--R + +--R +-+ 16 +-+ 14 +--R 34553856a\|2 cos(x) - 87760896a\|2 cos(x) +--R + +--R +-+ 12 +-+ 10 +--R 76318208a\|2 cos(x) - 25619712a\|2 cos(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 3794484a\|2 cos(x) - 2948498a\|2 cos(x) + 1138270a\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 21 +-+ 19 +--R 5242880a\|2 cos(x) - 28573696a\|2 cos(x) +--R + +--R +-+ 17 +-+ 15 +--R 65847296a\|2 cos(x) - 83144704a\|2 cos(x) +--R + +--R +-+ 13 +-+ 11 +--R 62200320a\|2 cos(x) - 27733888a\|2 cos(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 6985804a\|2 cos(x) - 858746a\|2 cos(x) + 34832a\|2 cos(x) +--R + +--R +-+ 3 +--R - 98a\|2 cos(x) +--R * +--R sin(x) +--R * +--R +--------+ +--R +---+ |a cos(x) +--R \|- a |-------- +--R \| sin(x) +--R + +--R 2 18 2 16 2 14 +--R 2621440a cos(x) - 2359296a cos(x) - 15130624a cos(x) +--R + +--R 2 12 2 10 2 8 +--R 69144576a cos(x) - 115370752a cos(x) + 78913408a cos(x) +--R + +--R 2 6 2 4 2 2 +--R - 17379222a cos(x) - 432229a cos(x) - 3773a cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 19 2 17 2 15 +--R - 10485760a cos(x) + 44040192a cos(x) + 2064384a cos(x) +--R + +--R 2 13 2 11 2 9 +--R - 203685888a cos(x) + 297106432a cos(x) - 139654144a cos(x) +--R + +--R 2 7 2 5 2 3 2 +--R 1823192a cos(x) + 8659898a cos(x) + 131649a cos(x) + 21a cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 20 2 18 2 16 +--R 5242880a cos(x) + 26738688a cos(x) - 187023360a cos(x) +--R + +--R 2 14 2 12 2 10 +--R 358932480a cos(x) - 292935168a cos(x) + 86458624a cos(x) +--R + +--R 2 8 2 6 2 4 +--R 7002324a cos(x) - 3276728a cos(x) - 1139397a cos(x) +--R + +--R 2 2 +--R - 343a cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 21 2 19 2 17 +--R - 10485760a cos(x) + 54525952a cos(x) - 119046144a cos(x) +--R + +--R 2 15 2 13 2 11 +--R 141066240a cos(x) - 97707008a cos(x) + 39510016a cos(x) +--R + +--R 2 9 2 7 2 5 2 3 +--R - 8711976a cos(x) + 872034a cos(x) - 23375a cos(x) + 21a cos(x) +--R * +--R sin(x) +--R + +--R 2 22 2 20 2 18 +--R 2621440a cos(x) - 14942208a cos(x) + 36249600a cos(x) +--R + +--R 2 16 2 14 2 12 +--R - 48607232a cos(x) + 39089408a cos(x) - 19081856a cos(x) +--R + +--R 2 10 2 8 2 6 2 4 +--R 5423978a cos(x) - 797867a cos(x) + 45080a cos(x) - 343a cos(x) +--R * +--R +---------+ +--R | 3 +--R \|a cot(x) +--R + +--R 2 18 2 16 2 14 +--R - 5505024a cos(x) + 20643840a cos(x) - 21762048a cos(x) +--R + +--R 2 12 2 10 2 8 +--R - 6472704a cos(x) + 23275392a cos(x) - 7437024a cos(x) +--R + +--R 2 6 2 4 2 2 2 +--R - 5563509a cos(x) + 2805663a cos(x) + 15393a cos(x) + 21a +--R * +--R 6 4 +--R cot(x) sin(x) +--R + +--R 2 19 2 17 2 15 +--R - 11010048a cos(x) + 66060288a cos(x) - 143474688a cos(x) +--R + +--R 2 13 2 11 2 9 +--R 111820800a cos(x) + 50555904a cos(x) - 146485248a cos(x) +--R + +--R 2 7 2 5 2 3 +--R 91052052a cos(x) - 17473596a cos(x) - 1041348a cos(x) +--R + +--R 2 +--R - 4116a cos(x) +--R * +--R 6 3 +--R cot(x) sin(x) +--R + +--R 2 20 2 18 2 16 +--R - 5505024a cos(x) + 64684032a cos(x) - 273616896a cos(x) +--R + +--R 2 14 2 12 2 10 +--R 584285184a cos(x) - 695796864a cos(x) + 457130016a cos(x) +--R + +--R 2 8 2 6 2 4 +--R - 139547541a cos(x) + 2536191a cos(x) + 5714625a cos(x) +--R + +--R 2 2 +--R 116277a cos(x) +--R * +--R 6 2 +--R cot(x) sin(x) +--R + +--R 2 21 2 19 2 17 +--R 11010048a cos(x) - 77070336a cos(x) + 226394112a cos(x) +--R + +--R 2 15 2 13 2 11 +--R - 356450304a cos(x) + 313625088a cos(x) - 137507328a cos(x) +--R + +--R 2 9 2 7 2 5 +--R 10085376a cos(x) + 12622848a cos(x) - 2182656a cos(x) +--R + +--R 2 3 +--R - 526848a cos(x) +--R * +--R 6 +--R cot(x) sin(x) +--R * +--R +--------+ +--R |a cos(x) +--R |-------- +--R \| sin(x) +--R + +--R 2 +-+ 17 2 +-+ 15 +--R 9633792a \|2 cos(x) - 42147840a \|2 cos(x) +--R + +--R 2 +-+ 13 2 +-+ 11 +--R 65178624a \|2 cos(x) - 32024832a \|2 cos(x) +--R + +--R 2 +-+ 9 2 +-+ 7 +--R - 17898720a \|2 cos(x) + 23967174a \|2 cos(x) +--R + +--R 2 +-+ 5 2 +-+ 3 2 +-+ +--R - 6581778a \|2 cos(x) - 126126a \|2 cos(x) - 294a \|2 cos(x) +--R * +--R 6 3 +--R cot(x) sin(x) +--R + +--R 2 +-+ 20 2 +-+ 18 +--R 11010048a \|2 cos(x) - 49545216a \|2 cos(x) +--R + +--R 2 +-+ 16 2 +-+ 14 +--R 56598528a \|2 cos(x) + 72253440a \|2 cos(x) +--R + +--R 2 +-+ 12 2 +-+ 10 +--R - 246527232a \|2 cos(x) + 249142656a \|2 cos(x) +--R + +--R 2 +-+ 8 2 +-+ 6 +--R - 107627814a \|2 cos(x) + 11833458a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 2 +--R 2843022a \|2 cos(x) + 19110a \|2 cos(x) +--R * +--R 6 2 +--R cot(x) sin(x) +--R + +--R 2 +-+ 21 2 +-+ 19 +--R 11010048a \|2 cos(x) - 83951616a \|2 cos(x) +--R + +--R 2 +-+ 17 2 +-+ 15 +--R 269058048a \|2 cos(x) - 466400256a \|2 cos(x) +--R + +--R 2 +-+ 13 2 +-+ 11 +--R 463959552a \|2 cos(x) - 251483232a \|2 cos(x) +--R + +--R 2 +-+ 9 2 +-+ 7 +--R 53757312a \|2 cos(x) + 8100288a \|2 cos(x) +--R + +--R 2 +-+ 5 2 +-+ 3 +--R - 3819648a \|2 cos(x) - 230496a \|2 cos(x) +--R * +--R 6 +--R cot(x) sin(x) +--R * +--R +---+ +--R \|- a +--R / +--R 18 16 14 +--R 5505024cos(x) - 20643840cos(x) + 21762048cos(x) +--R + +--R 12 10 8 +--R 6472704cos(x) - 23275392cos(x) + 7437024cos(x) +--R + +--R 6 4 2 +--R 5563509cos(x) - 2805663cos(x) - 15393cos(x) - 21 +--R * +--R 4 +--R sin(x) +--R + +--R 19 17 15 +--R 11010048cos(x) - 66060288cos(x) + 143474688cos(x) +--R + +--R 13 11 9 +--R - 111820800cos(x) - 50555904cos(x) + 146485248cos(x) +--R + +--R 7 5 3 +--R - 91052052cos(x) + 17473596cos(x) + 1041348cos(x) + 4116cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 20 18 16 +--R 5505024cos(x) - 64684032cos(x) + 273616896cos(x) +--R + +--R 14 12 10 +--R - 584285184cos(x) + 695796864cos(x) - 457130016cos(x) +--R + +--R 8 6 4 +--R 139547541cos(x) - 2536191cos(x) - 5714625cos(x) +--R + +--R 2 +--R - 116277cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 21 19 17 +--R - 11010048cos(x) + 77070336cos(x) - 226394112cos(x) +--R + +--R 15 13 11 +--R 356450304cos(x) - 313625088cos(x) + 137507328cos(x) +--R + +--R 9 7 5 +--R - 10085376cos(x) - 12622848cos(x) + 2182656cos(x) +--R + +--R 3 +--R 526848cos(x) +--R * +--R sin(x) +--R * +--R +--------+ +--R |a cos(x) +--R |-------- +--R \| sin(x) +--R + +--R +-+ 17 +-+ 15 +--R - 9633792\|2 cos(x) + 42147840\|2 cos(x) +--R + +--R +-+ 13 +-+ 11 +--R - 65178624\|2 cos(x) + 32024832\|2 cos(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R 17898720\|2 cos(x) - 23967174\|2 cos(x) + 6581778\|2 cos(x) +--R + +--R +-+ 3 +-+ +--R 126126\|2 cos(x) + 294\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 20 +-+ 18 +--R - 11010048\|2 cos(x) + 49545216\|2 cos(x) +--R + +--R +-+ 16 +-+ 14 +--R - 56598528\|2 cos(x) - 72253440\|2 cos(x) +--R + +--R +-+ 12 +-+ 10 +--R 246527232\|2 cos(x) - 249142656\|2 cos(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R 107627814\|2 cos(x) - 11833458\|2 cos(x) - 2843022\|2 cos(x) +--R + +--R +-+ 2 +--R - 19110\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 21 +-+ 19 +--R - 11010048\|2 cos(x) + 83951616\|2 cos(x) +--R + +--R +-+ 17 +-+ 15 +--R - 269058048\|2 cos(x) + 466400256\|2 cos(x) +--R + +--R +-+ 13 +-+ 11 +--R - 463959552\|2 cos(x) + 251483232\|2 cos(x) +--R + +--R +-+ 9 +-+ 7 +-+ 5 +--R - 53757312\|2 cos(x) - 8100288\|2 cos(x) + 3819648\|2 cos(x) +--R + +--R +-+ 3 +--R 230496\|2 cos(x) +--R * +--R sin(x) +--R * +--R +---+ +--R \|- a +--R * +--R +---------+ +--R | 3 +--R \|a cot(x) +--R Type: Expression Integer +--E 254 + +--S 255 of 510 +t0250:= 1/(a*cot(x)^2)^(1/2) +--R +--R +--R 1 +--R (232) ------------ +--R +---------+ +--R | 2 +--R \|a cot(x) +--R Type: Expression Integer +--E 255 + +--S 256 of 510 +r0250:= -cot(x)*log(cos(x))/(a*cot(x)^2)^(1/2) +--R +--R +--R cot(x)log(cos(x)) +--R (233) - ----------------- +--R +---------+ +--R | 2 +--R \|a cot(x) +--R Type: Expression Integer +--E 256 + +--S 257 of 510 +a0250:= integrate(t0250,x) +--R +--R +--R 2 +--R log(-----------) +--R cos(2x) + 1 +--R (234) ---------------- +--R +-+ +--R 2\|a +--R Type: Union(Expression Integer,...) +--E 257 + +--S 258 of 510 +m0250:= a0250-r0250 +--R +--R +--R +---------+ +--R 2 | 2 +-+ +--R log(-----------)\|a cot(x) + 2cot(x)\|a log(cos(x)) +--R cos(2x) + 1 +--R (235) ----------------------------------------------------- +--R +---------+ +--R +-+ | 2 +--R 2\|a \|a cot(x) +--R Type: Expression Integer +--E 258 + +--S 259 of 510 +d0250:= D(m0250,x) +--R +--R +--R +---------+ +--R +-+ | 2 +--R cos(x)sin(2x)\|a \|a cot(x) + (- a cos(2x) - a)cot(x)sin(x) +--R (236) ------------------------------------------------------------- +--R +---------+ +--R | 2 +--R (a cos(x)cos(2x) + a cos(x))\|a cot(x) +--R Type: Expression Integer +--E 259 + +--S 260 of 510 +t0251:= 1/(a*cot(x)^3)^(1/2) +--R +--R +--R 1 +--R (237) ------------ +--R +---------+ +--R | 3 +--R \|a cot(x) +--R Type: Expression Integer +--E 260 + +--S 261 of 510 +r0251:= 1/2/(a*cot(x)^3)^(1/2)*cot(x)*(4-cot(x)^(1/2)*(-2^(1/2)*atan(-1+2^(1/2)*cot(x)^(1/2))-2^(1/2)*atan(1+2^(1/2)*cot(x)^(1/2))-1/2*log(1-2^(1/2)*cot(x)^(1/2)+cot(x))*2^(1/2)+1/2*log(1+2^(1/2)*cot(x)^(1/2)+cot(x))*2^(1/2))) +--R +--R +--R (238) +--R +-+ +------+ +-+ +------+ +--R - \|2 cot(x)\|cot(x) log(\|2 \|cot(x) + cot(x) + 1) +--R + +--R +-+ +------+ +-+ +------+ +--R \|2 cot(x)\|cot(x) log(- \|2 \|cot(x) + cot(x) + 1) +--R + +--R +-+ +------+ +-+ +------+ +--R 2\|2 cot(x)\|cot(x) atan(\|2 \|cot(x) + 1) +--R + +--R +-+ +------+ +-+ +------+ +--R 2\|2 cot(x)\|cot(x) atan(\|2 \|cot(x) - 1) + 8cot(x) +--R / +--R +---------+ +--R | 3 +--R 4\|a cot(x) +--R Type: Expression Integer +--E 261 + +--S 262 of 510 +a0251:= integrate(t0251,x) +--R +--R +--R (239) +--R +--------+ +--R 2 |a cos(x) +--R (- 2cos(x) + 2)sin(x) |-------- +--R \| sin(x) +--R + +--R +-+ 2 +-+ 3 +-+ +---+ +--R (- \|2 cos(x) sin(x) + \|2 cos(x) - \|2 cos(x))\|- a +--R / +--R +--------+ +--R +-+ 3 +-+ +---+ |a cos(x) 2 3 +--R (\|2 cos(x) - \|2 cos(x))\|- a |-------- - a cos(x) sin(x) - a cos(x) +--R \| sin(x) +--R + +--R a cos(x) +--R Type: Union(Expression Integer,...) +--E 262 + +--S 263 of 510 +m0251:= a0251-r0251 +--R +--R +--R (240) +--R +--------+ +--R 3 +---+ |a cos(x) +--R (2cos(x) - 2cos(x))cot(x)\|- a |-------- +--R \| sin(x) +--R + +--R +-+ 2 +-+ 3 +-+ +--R - a\|2 cos(x) cot(x)sin(x) + (- a\|2 cos(x) + a\|2 cos(x))cot(x) +--R * +--R +------+ +-+ +------+ +--R \|cot(x) log(\|2 \|cot(x) + cot(x) + 1) +--R + +--R +--------+ +--R 3 +---+ |a cos(x) +--R (- 2cos(x) + 2cos(x))cot(x)\|- a |-------- +--R \| sin(x) +--R + +--R +-+ 2 +-+ 3 +-+ +--R a\|2 cos(x) cot(x)sin(x) + (a\|2 cos(x) - a\|2 cos(x))cot(x) +--R * +--R +------+ +-+ +------+ +--R \|cot(x) log(- \|2 \|cot(x) + cot(x) + 1) +--R + +--R +--------+ +--R 3 +---+ |a cos(x) +--R (- 4cos(x) + 4cos(x))cot(x)\|- a |-------- +--R \| sin(x) +--R + +--R +-+ 2 +-+ 3 +-+ +--R 2a\|2 cos(x) cot(x)sin(x) + (2a\|2 cos(x) - 2a\|2 cos(x))cot(x) +--R * +--R +------+ +-+ +------+ +--R \|cot(x) atan(\|2 \|cot(x) + 1) +--R + +--R +--------+ +--R 3 +---+ |a cos(x) +--R (- 4cos(x) + 4cos(x))cot(x)\|- a |-------- +--R \| sin(x) +--R + +--R +-+ 2 +-+ 3 +-+ +--R 2a\|2 cos(x) cot(x)sin(x) + (2a\|2 cos(x) - 2a\|2 cos(x))cot(x) +--R * +--R +------+ +-+ +------+ +--R \|cot(x) atan(\|2 \|cot(x) - 1) +--R + +--R +--------+ +--R 2 |a cos(x) +--R (- 8cos(x) + 8)sin(x) |-------- +--R \| sin(x) +--R + +--R +-+ 2 +-+ 3 +-+ +---+ +--R (- 4\|2 cos(x) sin(x) + 4\|2 cos(x) - 4\|2 cos(x))\|- a +--R * +--R +---------+ +--R | 3 +--R \|a cot(x) +--R + +--R +--------+ +--R +-+ 3 +-+ +---+ |a cos(x) +--R (- 8\|2 cos(x) + 8\|2 cos(x))cot(x)\|- a |-------- +--R \| sin(x) +--R + +--R 2 3 +--R 8a cos(x) cot(x)sin(x) + (8a cos(x) - 8a cos(x))cot(x) +--R / +--R +--------+ +--R +-+ 3 +-+ +---+ |a cos(x) 2 +--R (4\|2 cos(x) - 4\|2 cos(x))\|- a |-------- - 4a cos(x) sin(x) +--R \| sin(x) +--R + +--R 3 +--R - 4a cos(x) + 4a cos(x) +--R * +--R +---------+ +--R | 3 +--R \|a cot(x) +--R Type: Expression Integer +--E 263 + +--S 264 of 510 +d0251:= D(m0251,x) +--R +--R +--R (241) +--R +-+ 3 +-+ 4 +--R (2\|2 cos(x) + 2\|2 cos(x))sin(x) +--R + +--R +-+ 4 +-+ 2 +-+ 3 +--R (- 2\|2 cos(x) + 4\|2 cos(x) - 2\|2 )sin(x) +--R + +--R +-+ 5 +-+ 3 2 +--R (2\|2 cos(x) - 2\|2 cos(x) )sin(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R (- 2\|2 cos(x) + 4\|2 cos(x) - 2\|2 cos(x) )sin(x) +--R * +--R +--------+ +--R +---+ |a cos(x) +--R \|- a |-------- +--R \| sin(x) +--R + +--R 3 4 +--R (- a cos(x) - 3a cos(x))sin(x) +--R + +--R 4 2 3 +--R (4a cos(x) - a cos(x) + a)sin(x) +--R + +--R 5 3 2 +--R (- 2a cos(x) + 3a cos(x) - a cos(x))sin(x) +--R + +--R 6 4 2 7 5 +--R (4a cos(x) - 5a cos(x) + a cos(x) )sin(x) - a cos(x) + 2a cos(x) +--R + +--R 3 +--R - a cos(x) +--R * +--R +---------+ +--R | 3 +--R \|a cot(x) +--R + +--R 3 4 4 2 3 +--R - a cos(x) sin(x) + (- 2a cos(x) + 2a cos(x) )sin(x) +--R + +--R 5 3 2 +--R (- a cos(x) + 2a cos(x) - a cos(x))sin(x) +--R + +--R 6 4 2 +--R (2a cos(x) - 4a cos(x) + 2a cos(x) )sin(x) +--R * +--R +--------+ +--R |a cos(x) +--R |-------- +--R \| sin(x) +--R + +--R +-+ 5 +-+ 3 2 +--R (2a\|2 cos(x) - 2a\|2 cos(x) )sin(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R (2a\|2 cos(x) - 4a\|2 cos(x) + 2a\|2 cos(x) )sin(x) +--R * +--R +---+ +--R \|- a +--R / +--R 3 4 4 2 3 +--R a cos(x) sin(x) + (2a cos(x) - 2a cos(x) )sin(x) +--R + +--R 5 3 2 +--R (a cos(x) - 2a cos(x) + a cos(x))sin(x) +--R + +--R 6 4 2 +--R (- 2a cos(x) + 4a cos(x) - 2a cos(x) )sin(x) +--R * +--R +--------+ +--R |a cos(x) +--R |-------- +--R \| sin(x) +--R + +--R +-+ 5 +-+ 3 2 +--R (- 2a\|2 cos(x) + 2a\|2 cos(x) )sin(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R (- 2a\|2 cos(x) + 4a\|2 cos(x) - 2a\|2 cos(x) )sin(x) +--R * +--R +---+ +--R \|- a +--R * +--R +---------+ +--R | 3 +--R \|a cot(x) +--R Type: Expression Integer +--E 264 + +--S 265 of 510 +t0252:= (1+%i*cot(x))^3 +--R +--R +--R 3 2 +--R (242) - %i cot(x) - 3cot(x) + 3%i cot(x) + 1 +--R Type: Expression Complex Integer +--E 265 + +--S 266 of 510 +r0252:= 4*x+3*cot(x)+1/2*%i*cot(x)^2+4*%i*log(sin(x)) +--R +--R +--R 1 2 +--R (243) 4%i log(sin(x)) + - %i cot(x) + 3cot(x) + 4x +--R 2 +--R Type: Expression Complex Fraction Integer +--E 266 + +--S 267 of 510 +a0252:= integrate(t0252,x) +--R +--R +--R (244) +--R sin(2x) +--R (8%i cos(2x) - 8%i)log(-----------) +--R cos(2x) + 1 +--R + +--R 2 +--R (- 4%i cos(2x) + 4%i)log(-----------) - 6sin(2x) + (8x - %i)cos(2x) - 8x +--R cos(2x) + 1 +--R + +--R - %i +--R / +--R 2cos(2x) - 2 +--R Type: Union(Expression Complex Integer,...) +--E 267 + +--S 268 of 510 +m0252:= a0252-r0252 +--R +--R +--R (245) +--R sin(2x) +--R (4%i cos(2x) - 4%i)log(-----------) + (- 4%i cos(2x) + 4%i)log(sin(x)) +--R cos(2x) + 1 +--R + +--R 2 +--R (- 2%i cos(2x) + 2%i)log(-----------) - 3sin(2x) +--R cos(2x) + 1 +--R + +--R 1 1 2 1 +--R (- - %i cos(2x) + - %i)cot(x) + (- 3cos(2x) + 3)cot(x) - - %i cos(2x) +--R 2 2 2 +--R + +--R 1 +--R - - %i +--R 2 +--R / +--R cos(2x) - 1 +--R Type: Expression Complex Fraction Integer +--E 268 + +--S 269 of 510 +d0252:= D(m0252,x) +--R +--R +--R (246) +--R 3 +--R (- 6cos(2x) - 6)sin(x)sin(2x) +--R + +--R 2 2 +--R (4%i cos(2x) - 10%i cos(2x) + 2%i)sin(x)sin(2x) +--R + +--R 3 2 3 +--R (%i cos(2x) - %i cos(2x) - %i cos(2x) + %i)cot(x) +--R + +--R 3 2 2 +--R (3cos(2x) - 3cos(2x) - 3cos(2x) + 3)cot(x) +--R + +--R 3 2 3 +--R (%i cos(2x) - %i cos(2x) - %i cos(2x) + %i)cot(x) - 3cos(2x) +--R + +--R 2 +--R - 3cos(2x) + 3cos(2x) + 3 +--R * +--R sin(x) +--R + +--R 3 2 +--R - 4%i cos(x)cos(2x) + 4%i cos(x)cos(2x) + 4%i cos(x)cos(2x) +--R + +--R - 4%i cos(x) +--R * +--R sin(2x) +--R + +--R 4 3 2 +--R (8%i cos(2x) - 8%i cos(2x) - 8%i cos(2x) + 8%i cos(2x))sin(x) +--R / +--R 3 2 +--R (cos(2x) - cos(2x) - cos(2x) + 1)sin(x)sin(2x) +--R Type: Expression Complex Fraction Integer +--E 269 + +--S 270 of 510 +t0253:= (1+%i*cot(x))^2 +--R +--R +--R 2 +--R (247) - cot(x) + 2%i cot(x) + 1 +--R Type: Expression Complex Integer +--E 270 + +--S 271 of 510 +r0253:= 2*x+cot(x)+2*%i*log(sin(x)) +--R +--R +--R (248) 2%i log(sin(x)) + cot(x) + 2x +--R Type: Expression Complex Integer +--E 271 + +--S 272 of 510 +a0253:= integrate(t0253,x) +--R +--R +--R (249) +--R sin(2x) 2 +--R 2%i sin(2x)log(-----------) - %i sin(2x)log(-----------) + 2x sin(2x) +--R cos(2x) + 1 cos(2x) + 1 +--R + +--R cos(2x) + 1 +--R / +--R sin(2x) +--R Type: Union(Expression Complex Integer,...) +--E 272 + +--S 273 of 510 +m0253:= a0253-r0253 +--R +--R +--R (250) +--R sin(2x) +--R 2%i sin(2x)log(-----------) - 2%i sin(2x)log(sin(x)) +--R cos(2x) + 1 +--R + +--R 2 +--R - %i sin(2x)log(-----------) - cot(x)sin(2x) + cos(2x) + 1 +--R cos(2x) + 1 +--R / +--R sin(2x) +--R Type: Expression Complex Integer +--E 273 + +--S 274 of 510 +d0253:= D(m0253,x) +--R +--R +--R (251) +--R 3 +--R 2%i sin(x)sin(2x) +--R + +--R 2 +--R ((cos(2x) + 1)cot(x) - cos(2x) - 1)sin(x) - 2%i cos(x)cos(2x) +--R + +--R - 2%i cos(x) +--R * +--R 2 +--R sin(2x) +--R + +--R 2 +--R (4%i cos(2x) + 4%i cos(2x))sin(x)sin(2x) +--R + +--R 3 2 +--R (- 2cos(2x) - 4cos(2x) - 2cos(2x))sin(x) +--R / +--R 2 +--R (cos(2x) + 1)sin(x)sin(2x) +--R Type: Expression Complex Integer +--E 274 + +--S 275 of 510 +t0254:= 1/(1+%i*cot(x)) +--R +--R +--R %i +--R (252) - ----------- +--R cot(x) - %i +--R Type: Expression Complex Integer +--E 275 + +--S 276 of 510 +r0254:= 1/2*x-%i/(2+2*%i*cot(x)) +--R +--R +--R x cot(x) - %i x - 1 +--R (253) ------------------- +--R 2cot(x) - 2%i +--R Type: Expression Complex Integer +--E 276 + +--S 277 of 510 +a0254:= integrate(t0254,x) +--R +--R +--R >> Error detected within library code: +--R Denominator not equal to 1 +--R +--R Continuing to read the file... +--R +--E 277 + +--S 278 of 510 +m0254:= a0254-r0254 +--R +--R +--R (- x + 2a0254)cot(x) + %i x - 2%i a0254 + 1 +--R (254) ------------------------------------------- +--R 2cot(x) - 2%i +--R Type: Expression Complex Integer +--E 278 + +--S 279 of 510 +d0254:= D(m0254,x) +--R +--R +--R %i +--R (255) ----------- +--R cot(x) - %i +--R Type: Expression Complex Integer +--E 279 + +--S 280 of 510 +t0255:= (a+b*cot(x))^3 +--R +--R +--R 3 3 2 2 2 3 +--R (256) b cot(x) + 3a b cot(x) + 3a b cot(x) + a +--R Type: Expression Integer +--E 280 + +--S 281 of 510 +r0255:= a^3*x-3*a*b^2*x-3*a*b^2*cot(x)-1/2*b^3*cot(x)^2+3*a^2*b*log(sin(x))-b^3*log(sin(x)) +--R +--R +--R (257) +--R 3 2 3 2 2 2 3 +--R (- 2b + 6a b)log(sin(x)) - b cot(x) - 6a b cot(x) + (- 6a b + 2a )x +--R ---------------------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 281 + +--S 282 of 510 +a0255:= integrate(t0255,x) +--R +--R +--R (258) +--R 3 2 3 2 sin(2x) +--R ((- 2b + 6a b)cos(2x) + 2b - 6a b)log(-----------) +--R cos(2x) + 1 +--R + +--R 3 2 3 2 2 2 +--R ((b - 3a b)cos(2x) - b + 3a b)log(-----------) + 6a b sin(2x) +--R cos(2x) + 1 +--R + +--R 2 3 3 2 3 3 +--R ((- 6a b + 2a )x + b )cos(2x) + (6a b - 2a )x + b +--R / +--R 2cos(2x) - 2 +--R Type: Union(Expression Integer,...) +--E 282 + +--S 283 of 510 +m0255:= a0255-r0255 +--R +--R +--R (259) +--R 3 2 3 2 sin(2x) +--R ((- 2b + 6a b)cos(2x) + 2b - 6a b)log(-----------) +--R cos(2x) + 1 +--R + +--R 3 2 3 2 +--R ((2b - 6a b)cos(2x) - 2b + 6a b)log(sin(x)) +--R + +--R 3 2 3 2 2 2 +--R ((b - 3a b)cos(2x) - b + 3a b)log(-----------) + 6a b sin(2x) +--R cos(2x) + 1 +--R + +--R 3 3 2 2 2 3 3 +--R (b cos(2x) - b )cot(x) + (6a b cos(2x) - 6a b )cot(x) + b cos(2x) + b +--R / +--R 2cos(2x) - 2 +--R Type: Expression Integer +--E 283 + +--S 284 of 510 +d0255:= D(m0255,x) +--R +--R +--R (260) +--R 2 2 3 +--R (6a b cos(2x) + 6a b )sin(x)sin(2x) +--R + +--R 3 2 2 3 2 3 2 2 +--R ((- b + 3a b)cos(2x) + (4b - 6a b)cos(2x) + b + 3a b)sin(x)sin(2x) +--R + +--R 3 3 3 2 3 3 3 +--R (- b cos(2x) + b cos(2x) + b cos(2x) - b )cot(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 3a b cos(2x) + 3a b cos(2x) + 3a b cos(2x) - 3a b )cot(x) +--R + +--R 3 3 3 2 3 3 +--R (- b cos(2x) + b cos(2x) + b cos(2x) - b )cot(x) +--R + +--R 2 3 2 2 2 2 +--R 3a b cos(2x) + 3a b cos(2x) - 3a b cos(2x) - 3a b +--R * +--R sin(x) +--R + +--R 3 2 3 3 2 2 +--R (b - 3a b)cos(x)cos(2x) + (- b + 3a b)cos(x)cos(2x) +--R + +--R 3 2 3 2 +--R (- b + 3a b)cos(x)cos(2x) + (b - 3a b)cos(x) +--R * +--R sin(2x) +--R + +--R 3 2 4 3 2 3 3 2 2 +--R (- 2b + 6a b)cos(2x) + (2b - 6a b)cos(2x) + (2b - 6a b)cos(2x) +--R + +--R 3 2 +--R (- 2b + 6a b)cos(2x) +--R * +--R sin(x) +--R / +--R 3 2 +--R (cos(2x) - cos(2x) - cos(2x) + 1)sin(x)sin(2x) +--R Type: Expression Integer +--E 284 + +--S 285 of 510 +t0256:= (a+b*cot(x))^2 +--R +--R +--R 2 2 2 +--R (261) b cot(x) + 2a b cot(x) + a +--R Type: Expression Integer +--E 285 + +--S 286 of 510 +r0256:= a^2*x-b^2*x-b^2*cot(x)+2*a*b*log(sin(x)) +--R +--R +--R 2 2 2 +--R (262) 2a b log(sin(x)) - b cot(x) + (- b + a )x +--R Type: Expression Integer +--E 286 + +--S 287 of 510 +a0256:= integrate(t0256,x) +--R +--R +--R (263) +--R sin(2x) 2 +--R 2a b sin(2x)log(-----------) - a b sin(2x)log(-----------) +--R cos(2x) + 1 cos(2x) + 1 +--R + +--R 2 2 2 2 +--R (- b + a )x sin(2x) - b cos(2x) - b +--R / +--R sin(2x) +--R Type: Union(Expression Integer,...) +--E 287 + +--S 288 of 510 +m0256:= a0256-r0256 +--R +--R +--R (264) +--R sin(2x) +--R 2a b sin(2x)log(-----------) - 2a b sin(2x)log(sin(x)) +--R cos(2x) + 1 +--R + +--R 2 2 2 2 +--R - a b sin(2x)log(-----------) + b cot(x)sin(2x) - b cos(2x) - b +--R cos(2x) + 1 +--R / +--R sin(2x) +--R Type: Expression Integer +--E 288 + +--S 289 of 510 +d0256:= D(m0256,x) +--R +--R +--R (265) +--R 3 +--R 2a b sin(x)sin(2x) +--R + +--R 2 2 2 2 2 +--R ((- b cos(2x) - b )cot(x) + b cos(2x) + b )sin(x) +--R + +--R - 2a b cos(x)cos(2x) - 2a b cos(x) +--R * +--R 2 +--R sin(2x) +--R + +--R 2 +--R (4a b cos(2x) + 4a b cos(2x))sin(x)sin(2x) +--R + +--R 2 3 2 2 2 +--R (2b cos(2x) + 4b cos(2x) + 2b cos(2x))sin(x) +--R / +--R 2 +--R (cos(2x) + 1)sin(x)sin(2x) +--R Type: Expression Integer +--E 289 + +--S 290 of 510 +t0257:= 1/(4-6*cot(x)) +--R +--R +--R 1 +--R (266) - ----------- +--R 6cot(x) - 4 +--R Type: Expression Integer +--E 290 + +--S 291 of 510 +r0257:= 1/13*x+3/26*log(-3*cos(x)+2*sin(x)) +--R +--R +--R 3log(2sin(x) - 3cos(x)) + 2x +--R (267) ---------------------------- +--R 26 +--R Type: Expression Integer +--E 291 + +--S 292 of 510 +a0257:= integrate(t0257,x) +--R +--R +--R 2sin(2x) - 3cos(2x) - 3 2 +--R 6log(-----------------------) - 3log(-----------) + 4x +--R cos(2x) + 1 cos(2x) + 1 +--R (268) ------------------------------------------------------ +--R 52 +--R Type: Union(Expression Integer,...) +--E 292 + +--S 293 of 510 +m0257:= a0257-r0257 +--R +--R +--R (269) +--R 2sin(2x) - 3cos(2x) - 3 2 +--R 6log(-----------------------) - 6log(2sin(x) - 3cos(x)) - 3log(-----------) +--R cos(2x) + 1 cos(2x) + 1 +--R --------------------------------------------------------------------------- +--R 52 +--R Type: Expression Integer +--E 293 + +--S 294 of 510 +d0257:= D(m0257,x) +--R +--R +--R (270) +--R 2 +--R (12sin(x) - 18cos(x))sin(2x) + (- 39cos(x)cos(2x) - 39cos(x))sin(2x) +--R + +--R 2 2 +--R (51cos(2x) + 78cos(2x) + 27)sin(x) - 18cos(x)cos(2x) + 18cos(x) +--R / +--R ((104cos(2x) + 104)sin(x) - 156cos(x)cos(2x) - 156cos(x))sin(2x) +--R + +--R 2 2 +--R (- 156cos(2x) - 312cos(2x) - 156)sin(x) + 234cos(x)cos(2x) +--R + +--R 468cos(x)cos(2x) + 234cos(x) +--R Type: Expression Integer +--E 294 + +--S 295 of 510 +t0258:= 1/(a+b*cot(x)) +--R +--R +--R 1 +--R (271) ------------ +--R b cot(x) + a +--R Type: Expression Integer +--E 295 + +--S 296 of 510 +r0258:= -(-a*x+b*log(b*cos(x)+a*sin(x)))/(a^2+b^2) +--R +--R +--R - b log(a sin(x) + b cos(x)) + a x +--R (272) ---------------------------------- +--R 2 2 +--R b + a +--R Type: Expression Integer +--E 296 + +--S 297 of 510 +a0258:= integrate(t0258,x) +--R +--R +--R a sin(2x) + b cos(2x) + b 2 +--R - 2b log(-------------------------) + b log(-----------) + 2a x +--R cos(2x) + 1 cos(2x) + 1 +--R (273) --------------------------------------------------------------- +--R 2 2 +--R 2b + 2a +--R Type: Union(Expression Integer,...) +--E 297 + +--S 298 of 510 +m0258:= a0258-r0258 +--R +--R +--R (274) +--R a sin(2x) + b cos(2x) + b +--R - 2b log(-------------------------) + 2b log(a sin(x) + b cos(x)) +--R cos(2x) + 1 +--R + +--R 2 +--R b log(-----------) +--R cos(2x) + 1 +--R / +--R 2 2 +--R 2b + 2a +--R Type: Expression Integer +--E 298 + +--S 299 of 510 +d0258:= D(m0258,x) +--R +--R +--R (275) +--R 2 2 2 +--R (- a b sin(x) - a b cos(x))sin(2x) +--R + +--R 3 2 3 2 +--R ((b + a b)cos(x)cos(2x) + (b + a b)cos(x))sin(2x) +--R + +--R 3 2 2 3 2 3 +--R ((- b - 2a b)cos(2x) + (- 2b - 2a b)cos(2x) - b )sin(x) +--R + +--R 2 2 2 +--R - a b cos(x)cos(2x) + a b cos(x) +--R / +--R 2 2 4 2 2 4 3 3 +--R ((a b + a )cos(2x) + a b + a )sin(x) + (a b + a b)cos(x)cos(2x) +--R + +--R 3 3 +--R (a b + a b)cos(x) +--R * +--R sin(2x) +--R + +--R 3 3 2 3 3 3 3 +--R ((a b + a b)cos(2x) + (2a b + 2a b)cos(2x) + a b + a b)sin(x) +--R + +--R 4 2 2 2 4 2 2 4 2 2 +--R (b + a b )cos(x)cos(2x) + (2b + 2a b )cos(x)cos(2x) + (b + a b )cos(x) +--R Type: Expression Integer +--E 299 + +--S 300 of 510 +t0259:= 1/(a+b*cot(x))^2 +--R +--R +--R 1 +--R (276) ---------------------------- +--R 2 2 2 +--R b cot(x) + 2a b cot(x) + a +--R Type: Expression Integer +--E 300 + +--S 301 of 510 +r0259:= (a^2-b^2)*x/(a^2+b^2)^2+b/(a^2+b^2)/(a+b*cot(x))-2*a*b*log(b*cos(x)+a*sin(x))/(a^2+b^2)^2 +--R +--R +--R (277) +--R 2 2 3 2 +--R (- 2a b cot(x) - 2a b)log(a sin(x) + b cos(x)) + (- b + a b)x cot(x) +--R + +--R 2 3 3 2 +--R (- a b + a )x + b + a b +--R / +--R 5 2 3 4 4 3 2 5 +--R (b + 2a b + a b)cot(x) + a b + 2a b + a +--R Type: Expression Integer +--E 301 + +--S 302 of 510 +a0259:= integrate(t0259,x) +--R +--R +--R (278) +--R 3 2 2 2 2 a sin(2x) + b cos(2x) + b +--R (- 2a b sin(2x) - 2a b cos(2x) - 2a b )log(-------------------------) +--R cos(2x) + 1 +--R + +--R 3 2 2 2 2 2 +--R (a b sin(2x) + a b cos(2x) + a b )log(-----------) +--R cos(2x) + 1 +--R + +--R 2 2 4 3 3 4 2 2 +--R (- a b + a )x sin(2x) + ((- a b + a b)x - b - a b )cos(2x) +--R + +--R 3 3 4 2 2 +--R (- a b + a b)x - b - a b +--R / +--R 2 4 4 2 6 5 3 3 5 5 3 3 +--R (a b + 2a b + a )sin(2x) + (a b + 2a b + a b)cos(2x) + a b + 2a b +--R + +--R 5 +--R a b +--R Type: Union(Expression Integer,...) +--E 302 + +--S 303 of 510 +m0259:= a0259-r0259 +--R +--R +--R (279) +--R 3 2 4 2 3 2 3 +--R (- 2a b cot(x) - 2a b)sin(2x) + (- 2a b cos(2x) - 2a b )cot(x) +--R + +--R 3 2 3 2 +--R - 2a b cos(2x) - 2a b +--R * +--R a sin(2x) + b cos(2x) + b +--R log(-------------------------) +--R cos(2x) + 1 +--R + +--R 3 2 4 2 3 2 3 +--R (2a b cot(x) + 2a b)sin(2x) + (2a b cos(2x) + 2a b )cot(x) +--R + +--R 3 2 3 2 +--R 2a b cos(2x) + 2a b +--R * +--R log(a sin(x) + b cos(x)) +--R + +--R 3 2 4 2 3 2 3 3 2 +--R (a b cot(x) + a b)sin(2x) + (a b cos(2x) + a b )cot(x) + a b cos(2x) +--R + +--R 3 2 +--R a b +--R * +--R 2 +--R log(-----------) +--R cos(2x) + 1 +--R + +--R 2 3 4 5 2 3 5 2 3 +--R (- a b - a b)sin(2x) + ((- b - a b )cos(2x) - b - a b )cot(x) +--R + +--R 4 3 2 4 3 2 +--R (- 2a b - 2a b )cos(2x) - 2a b - 2a b +--R / +--R 2 5 4 3 6 3 4 5 2 7 +--R ((a b + 2a b + a b)cot(x) + a b + 2a b + a )sin(2x) +--R + +--R 6 3 4 5 2 6 3 4 5 2 +--R ((a b + 2a b + a b )cos(2x) + a b + 2a b + a b )cot(x) +--R + +--R 2 5 4 3 6 2 5 4 3 6 +--R (a b + 2a b + a b)cos(2x) + a b + 2a b + a b +--R Type: Expression Integer +--E 303 + +--S 304 of 510 +d0259:= D(m0259,x) +--R +--R +--R (280) +--R 4 3 2 5 2 6 3 4 2 +--R (- 2a b cot(x) - 4a b cot(x) - 2a b)sin(x) - 2a b cos(x)cot(x) +--R + +--R 4 3 5 2 +--R - 4a b cos(x)cot(x) - 2a b cos(x) +--R * +--R 3 +--R sin(2x) +--R + +--R 6 3 4 5 2 6 3 4 5 2 2 +--R ((2a b - a b - a b )cos(2x) + 2a b - a b - a b )cot(x) +--R + +--R 2 5 2 5 3 4 5 2 3 4 5 2 +--R (4a b cos(2x) + 4a b )cot(x) + (a b - a b )cos(2x) + a b - a b +--R * +--R sin(x) +--R + +--R 7 2 5 4 3 7 2 5 4 3 2 +--R ((2b + a b + a b )cos(x)cos(2x) + (2b + a b + a b )cos(x))cot(x) +--R + +--R 6 3 4 5 2 +--R (4a b + 4a b + 4a b )cos(x)cos(2x) +--R + +--R 6 3 4 5 2 +--R (4a b + 4a b + 4a b )cos(x) +--R * +--R cot(x) +--R + +--R 2 5 4 3 6 2 5 4 3 6 +--R (a b + a b + 2a b)cos(x)cos(2x) + (a b + a b + 2a b)cos(x) +--R * +--R 2 +--R sin(2x) +--R + +--R 2 5 4 3 2 2 5 4 3 2 5 +--R (- 4a b - 6a b )cos(2x) + (- 8a b - 8a b )cos(2x) - 4a b +--R + +--R 4 3 +--R - 2a b +--R * +--R 2 +--R cot(x) +--R + +--R 3 4 5 2 2 3 4 5 2 3 4 +--R ((- 4a b - 8a b )cos(2x) + (- 8a b - 8a b )cos(2x) - 4a b ) +--R * +--R cot(x) +--R + +--R 2 5 4 3 6 2 +--R (- 2a b - 4a b - 4a b)cos(2x) +--R + +--R 2 5 4 3 6 2 5 4 3 +--R (- 4a b - 8a b - 4a b)cos(2x) - 2a b - 4a b +--R * +--R sin(x) +--R + +--R 3 4 2 3 4 2 +--R (- 2a b cos(x)cos(2x) + 2a b cos(x))cot(x) +--R + +--R 2 5 2 2 5 4 3 +--R 4a b cos(x)cos(2x) + (8a b + 8a b )cos(x)cos(2x) +--R + +--R 2 5 4 3 +--R (4a b + 8a b )cos(x) +--R * +--R cot(x) +--R + +--R 6 2 6 5 2 +--R - 2a b cos(x)cos(2x) + (- 4a b + 4a b )cos(x)cos(2x) +--R + +--R 6 5 2 +--R (- 2a b + 4a b )cos(x) +--R * +--R sin(2x) +--R + +--R 6 3 4 3 6 3 4 2 +--R (- a b - 3a b )cos(2x) + (- 5a b - 7a b )cos(2x) +--R + +--R 6 3 4 6 3 4 +--R (- 7a b - 5a b )cos(2x) - 3a b - a b +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 3 2 5 4 3 2 +--R - 4a b cos(2x) + (- 4a b - 8a b )cos(2x) +--R + +--R 2 5 4 3 2 5 +--R (- 8a b - 4a b )cos(2x) - 4a b +--R * +--R cot(x) +--R + +--R 6 3 4 5 2 3 6 3 4 5 2 2 +--R (- a b - a b - 2a b )cos(2x) + (- 3a b - 5a b - 4a b )cos(2x) +--R + +--R 6 3 4 5 2 6 3 4 +--R (- 3a b - 7a b - 2a b )cos(2x) - a b - 3a b +--R * +--R sin(x) +--R + +--R 7 2 5 3 7 2 5 2 +--R (b - a b )cos(x)cos(2x) + (b - a b )cos(x)cos(2x) +--R + +--R 7 2 5 7 2 5 +--R (- b + a b )cos(x)cos(2x) + (- b + a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 6 3 6 3 4 2 +--R 4a b cos(x)cos(2x) + (8a b + 4a b )cos(x)cos(2x) +--R + +--R 6 3 4 3 4 +--R (4a b + 8a b )cos(x)cos(2x) + 4a b cos(x) +--R * +--R cot(x) +--R + +--R 7 2 5 3 7 2 5 4 3 2 +--R (- b + a b )cos(x)cos(2x) + (- 3b + a b + 2a b )cos(x)cos(2x) +--R + +--R 7 2 5 4 3 7 2 5 4 3 +--R (- 3b - a b + 4a b )cos(x)cos(2x) + (- b - a b + 2a b )cos(x) +--R / +--R 3 6 5 4 7 2 3 6 5 4 7 2 2 +--R ((a b + 2a b + a b )cos(2x) + a b + 2a b + a b )cot(x) +--R + +--R 4 5 6 3 8 4 5 6 3 8 +--R ((2a b + 4a b + 2a b)cos(2x) + 2a b + 4a b + 2a b)cot(x) +--R + +--R 5 4 7 2 9 5 4 7 2 9 +--R (a b + 2a b + a )cos(2x) + a b + 2a b + a +--R * +--R sin(x) +--R + +--R 2 7 4 5 6 3 2 7 4 5 6 3 +--R ((a b + 2a b + a b )cos(x)cos(2x) + (a b + 2a b + a b )cos(x)) +--R * +--R 2 +--R cot(x) +--R + +--R 3 6 5 4 7 2 +--R (2a b + 4a b + 2a b )cos(x)cos(2x) +--R + +--R 3 6 5 4 7 2 +--R (2a b + 4a b + 2a b )cos(x) +--R * +--R cot(x) +--R + +--R 4 5 6 3 8 4 5 6 3 8 +--R (a b + 2a b + a b)cos(x)cos(2x) + (a b + 2a b + a b)cos(x) +--R * +--R 2 +--R sin(2x) +--R + +--R 2 7 4 5 6 3 2 +--R (2a b + 4a b + 2a b )cos(2x) +--R + +--R 2 7 4 5 6 3 2 7 4 5 6 3 +--R (4a b + 8a b + 4a b )cos(2x) + 2a b + 4a b + 2a b +--R * +--R 2 +--R cot(x) +--R + +--R 3 6 5 4 7 2 2 +--R (4a b + 8a b + 4a b )cos(2x) +--R + +--R 3 6 5 4 7 2 3 6 5 4 7 2 +--R (8a b + 16a b + 8a b )cos(2x) + 4a b + 8a b + 4a b +--R * +--R cot(x) +--R + +--R 4 5 6 3 8 2 4 5 6 3 8 +--R (2a b + 4a b + 2a b)cos(2x) + (4a b + 8a b + 4a b)cos(2x) +--R + +--R 4 5 6 3 8 +--R 2a b + 4a b + 2a b +--R * +--R sin(x) +--R + +--R 8 3 6 5 4 2 +--R (2a b + 4a b + 2a b )cos(x)cos(2x) +--R + +--R 8 3 6 5 4 +--R (4a b + 8a b + 4a b )cos(x)cos(2x) +--R + +--R 8 3 6 5 4 +--R (2a b + 4a b + 2a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 2 7 4 5 6 3 2 +--R (4a b + 8a b + 4a b )cos(x)cos(2x) +--R + +--R 2 7 4 5 6 3 +--R (8a b + 16a b + 8a b )cos(x)cos(2x) +--R + +--R 2 7 4 5 6 3 +--R (4a b + 8a b + 4a b )cos(x) +--R * +--R cot(x) +--R + +--R 3 6 5 4 7 2 2 +--R (2a b + 4a b + 2a b )cos(x)cos(2x) +--R + +--R 3 6 5 4 7 2 3 6 5 4 7 2 +--R (4a b + 8a b + 4a b )cos(x)cos(2x) + (2a b + 4a b + 2a b )cos(x) +--R * +--R sin(2x) +--R + +--R 8 3 6 5 4 3 8 3 6 5 4 2 +--R (a b + 2a b + a b )cos(2x) + (3a b + 6a b + 3a b )cos(2x) +--R + +--R 8 3 6 5 4 8 3 6 5 4 +--R (3a b + 6a b + 3a b )cos(2x) + a b + 2a b + a b +--R * +--R 2 +--R cot(x) +--R + +--R 2 7 4 5 6 3 3 +--R (2a b + 4a b + 2a b )cos(2x) +--R + +--R 2 7 4 5 6 3 2 +--R (6a b + 12a b + 6a b )cos(2x) +--R + +--R 2 7 4 5 6 3 2 7 4 5 6 3 +--R (6a b + 12a b + 6a b )cos(2x) + 2a b + 4a b + 2a b +--R * +--R cot(x) +--R + +--R 3 6 5 4 7 2 3 3 6 5 4 7 2 2 +--R (a b + 2a b + a b )cos(2x) + (3a b + 6a b + 3a b )cos(2x) +--R + +--R 3 6 5 4 7 2 3 6 5 4 7 2 +--R (3a b + 6a b + 3a b )cos(2x) + a b + 2a b + a b +--R * +--R sin(x) +--R + +--R 9 2 7 4 5 3 +--R (b + 2a b + a b )cos(x)cos(2x) +--R + +--R 9 2 7 4 5 2 +--R (3b + 6a b + 3a b )cos(x)cos(2x) +--R + +--R 9 2 7 4 5 9 2 7 4 5 +--R (3b + 6a b + 3a b )cos(x)cos(2x) + (b + 2a b + a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 8 3 6 5 4 3 +--R (2a b + 4a b + 2a b )cos(x)cos(2x) +--R + +--R 8 3 6 5 4 2 +--R (6a b + 12a b + 6a b )cos(x)cos(2x) +--R + +--R 8 3 6 5 4 8 3 6 5 4 +--R (6a b + 12a b + 6a b )cos(x)cos(2x) + (2a b + 4a b + 2a b )cos(x) +--R * +--R cot(x) +--R + +--R 2 7 4 5 6 3 3 +--R (a b + 2a b + a b )cos(x)cos(2x) +--R + +--R 2 7 4 5 6 3 2 +--R (3a b + 6a b + 3a b )cos(x)cos(2x) +--R + +--R 2 7 4 5 6 3 2 7 4 5 6 3 +--R (3a b + 6a b + 3a b )cos(x)cos(2x) + (a b + 2a b + a b )cos(x) +--R Type: Expression Integer +--E 304 + +--S 305 of 510 +t0260:= 1/(a+b*cot(x))^3 +--R +--R +--R 1 +--R (281) ------------------------------------------- +--R 3 3 2 2 2 3 +--R b cot(x) + 3a b cot(x) + 3a b cot(x) + a +--R Type: Expression Integer +--E 305 + +--S 306 of 510 +r0260:= a*(a^2-3*b^2)*x/(a^2+b^2)^3+1/2*b/(a^2+b^2)/(a+b*cot(x))^2+2*a*b/(a^2+b^2)^2/(a+b*cot(x))-b*(3*a^2-b^2)*log(b*cos(x)+a*sin(x))/(a^2+b^2)^3 +--R +--R +--R (282) +--R 5 2 3 2 4 3 2 2 3 4 +--R ((2b - 6a b )cot(x) + (4a b - 12a b )cot(x) + 2a b - 6a b) +--R * +--R log(a sin(x) + b cos(x)) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (- 6a b + 2a b )x cot(x) + ((- 12a b + 4a b)x + 4a b + 4a b )cot(x) +--R + +--R 3 2 5 5 2 3 4 +--R (- 6a b + 2a )x + b + 6a b + 5a b +--R / +--R 8 2 6 4 4 6 2 2 +--R (2b + 6a b + 6a b + 2a b )cot(x) +--R + +--R 7 3 5 5 3 7 2 6 4 4 6 2 8 +--R (4a b + 12a b + 12a b + 4a b)cot(x) + 2a b + 6a b + 6a b + 2a +--R Type: Expression Integer +--E 306 + +--S 307 of 510 +a0260:= integrate(t0260,x) +--R +--R +--R (283) +--R 3 4 5 2 2 5 4 3 6 2 5 +--R (4a b - 12a b )sin(2x) + (2a b - 8a b + 6a b)cos(2x) + 2a b +--R + +--R 4 3 6 +--R - 4a b - 6a b +--R * +--R a sin(2x) + b cos(2x) + b +--R log(-------------------------) +--R cos(2x) + 1 +--R + +--R 3 4 5 2 2 5 4 3 6 2 5 +--R (- 2a b + 6a b )sin(2x) + (- a b + 4a b - 3a b)cos(2x) - a b +--R + +--R 4 3 6 +--R 2a b + 3a b +--R * +--R 2 +--R log(-----------) +--R cos(2x) + 1 +--R + +--R 4 3 6 6 3 4 5 2 +--R ((- 12a b + 4a b)x - 2a b - 8a b - 6a b )sin(2x) +--R + +--R 3 4 5 2 7 7 2 5 4 3 +--R ((- 6a b + 8a b - 2a )x - b - 6a b - 5a b )cos(2x) +--R + +--R 3 4 5 2 7 7 2 5 4 3 +--R (- 6a b - 4a b + 2a )x - b - 6a b - 5a b +--R / +--R 3 7 5 5 7 3 9 +--R (4a b + 12a b + 12a b + 4a b)sin(2x) +--R + +--R 2 8 4 6 8 2 10 2 8 4 6 6 4 8 2 +--R (2a b + 4a b - 4a b - 2a )cos(2x) + 2a b + 8a b + 12a b + 8a b +--R + +--R 10 +--R 2a +--R Type: Union(Expression Integer,...) +--E 307 + +--S 308 of 510 +m0260:= a0260-r0260 +--R +--R +--R (284) +--R 3 6 5 4 2 4 5 6 3 5 4 7 2 +--R ((4a b - 12a b )cot(x) + (8a b - 24a b )cot(x) + 4a b - 12a b ) +--R * +--R sin(2x) +--R + +--R 2 7 4 5 6 3 2 7 4 5 6 3 2 +--R ((2a b - 8a b + 6a b )cos(2x) + 2a b - 4a b - 6a b )cot(x) +--R + +--R 3 6 5 4 7 2 3 6 5 4 7 2 +--R ((4a b - 16a b + 12a b )cos(2x) + 4a b - 8a b - 12a b )cot(x) +--R + +--R 4 5 6 3 8 4 5 6 3 8 +--R (2a b - 8a b + 6a b)cos(2x) + 2a b - 4a b - 6a b +--R * +--R a sin(2x) + b cos(2x) + b +--R log(-------------------------) +--R cos(2x) + 1 +--R + +--R 3 6 5 4 2 4 5 6 3 5 4 +--R (- 4a b + 12a b )cot(x) + (- 8a b + 24a b )cot(x) - 4a b +--R + +--R 7 2 +--R 12a b +--R * +--R sin(2x) +--R + +--R 2 7 4 5 6 3 2 7 4 5 6 3 2 +--R ((- 2a b + 8a b - 6a b )cos(2x) - 2a b + 4a b + 6a b )cot(x) +--R + +--R 3 6 5 4 7 2 3 6 5 4 7 2 +--R ((- 4a b + 16a b - 12a b )cos(2x) - 4a b + 8a b + 12a b )cot(x) +--R + +--R 4 5 6 3 8 4 5 6 3 8 +--R (- 2a b + 8a b - 6a b)cos(2x) - 2a b + 4a b + 6a b +--R * +--R log(a sin(x) + b cos(x)) +--R + +--R 3 6 5 4 2 4 5 6 3 5 4 +--R (- 2a b + 6a b )cot(x) + (- 4a b + 12a b )cot(x) - 2a b +--R + +--R 7 2 +--R 6a b +--R * +--R sin(2x) +--R + +--R 2 7 4 5 6 3 2 7 4 5 6 3 2 +--R ((- a b + 4a b - 3a b )cos(2x) - a b + 2a b + 3a b )cot(x) +--R + +--R 3 6 5 4 7 2 3 6 5 4 7 2 +--R ((- 2a b + 8a b - 6a b )cos(2x) - 2a b + 4a b + 6a b )cot(x) +--R + +--R 4 5 6 3 8 4 5 6 3 8 +--R (- a b + 4a b - 3a b)cos(2x) - a b + 2a b + 3a b +--R * +--R 2 +--R log(-----------) +--R cos(2x) + 1 +--R + +--R 8 3 6 5 4 2 2 7 4 5 6 3 +--R (- 2a b - 8a b - 6a b )cot(x) + (- 4a b - 24a b - 20a b )cot(x) +--R + +--R 3 6 5 4 7 2 +--R - 4a b - 20a b - 16a b +--R * +--R sin(2x) +--R + +--R 9 2 7 4 5 9 2 7 4 5 2 +--R ((- b - 6a b - 5a b )cos(2x) - b - 6a b - 5a b )cot(x) +--R + +--R 8 3 6 5 4 7 2 8 3 6 5 4 +--R (- 2a b - 16a b - 10a b + 4a b )cos(2x) - 2a b - 16a b - 18a b +--R + +--R 7 2 +--R - 4a b +--R * +--R cot(x) +--R + +--R 2 7 4 5 6 3 8 2 7 4 5 6 3 8 +--R (- 2a b - 11a b - 4a b + 5a b)cos(2x) - 2a b - 13a b - 16a b - 5a b +--R / +--R 3 9 5 7 7 5 9 3 2 +--R (4a b + 12a b + 12a b + 4a b )cot(x) +--R + +--R 4 8 6 6 8 4 10 2 5 7 7 5 9 3 +--R (8a b + 24a b + 24a b + 8a b )cot(x) + 4a b + 12a b + 12a b +--R + +--R 11 +--R 4a b +--R * +--R sin(2x) +--R + +--R 2 10 4 8 8 4 10 2 2 10 4 8 6 6 +--R (2a b + 4a b - 4a b - 2a b )cos(2x) + 2a b + 8a b + 12a b +--R + +--R 8 4 10 2 +--R 8a b + 2a b +--R * +--R 2 +--R cot(x) +--R + +--R 3 9 5 7 9 3 11 3 9 5 7 7 5 +--R (4a b + 8a b - 8a b - 4a b)cos(2x) + 4a b + 16a b + 24a b +--R + +--R 9 3 11 +--R 16a b + 4a b +--R * +--R cot(x) +--R + +--R 4 8 6 6 10 2 12 4 8 6 6 8 4 10 2 +--R (2a b + 4a b - 4a b - 2a )cos(2x) + 2a b + 8a b + 12a b + 8a b +--R + +--R 12 +--R 2a +--R Type: Expression Integer +--E 308 + +--S 309 of 510 +d0260:= D(m0260,x) +--R +--R +--R (285) +--R 4 8 6 6 3 5 7 7 5 2 +--R (4a b - 12a b )cot(x) + (12a b - 36a b )cot(x) +--R + +--R 6 6 8 4 7 5 9 3 +--R (12a b - 36a b )cot(x) + 4a b - 12a b +--R * +--R sin(x) +--R + +--R 3 9 5 7 3 4 8 6 6 2 +--R (4a b - 12a b )cos(x)cot(x) + (12a b - 36a b )cos(x)cot(x) +--R + +--R 5 7 7 5 6 6 8 4 +--R (12a b - 36a b )cos(x)cot(x) + (4a b - 12a b )cos(x) +--R * +--R 4 +--R sin(2x) +--R + +--R 3 9 5 7 7 5 3 9 5 7 7 5 +--R ((10a b - 12a b + 10a b )cos(2x) + 10a b - 4a b - 14a b ) +--R * +--R 3 +--R cot(x) +--R + +--R 4 8 6 6 8 4 4 8 6 6 8 4 +--R ((26a b - 28a b + 42a b )cos(2x) + 26a b - 4a b - 30a b ) +--R * +--R 2 +--R cot(x) +--R + +--R 5 7 7 5 9 3 5 7 7 5 9 3 +--R ((22a b - 20a b + 54a b )cos(2x) + 22a b + 4a b - 18a b ) +--R * +--R cot(x) +--R + +--R 4 8 6 6 8 4 10 2 4 8 6 6 +--R (- 4a b - 6a b - 16a b + 18a b )cos(2x) - 4a b - 6a b +--R + +--R 8 4 10 2 +--R - 8a b - 6a b +--R * +--R sin(x) +--R + +--R 2 10 4 8 6 6 +--R (6a b - 4a b + 22a b )cos(x)cos(2x) +--R + +--R 2 10 4 8 6 6 +--R (6a b + 4a b - 2a b )cos(x) +--R * +--R 3 +--R cot(x) +--R + +--R 3 9 5 7 7 5 +--R (14a b - 4a b + 78a b )cos(x)cos(2x) +--R + +--R 3 9 5 7 7 5 +--R (14a b + 20a b + 6a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 4 8 6 6 8 4 +--R (10a b + 4a b + 90a b )cos(x)cos(2x) +--R + +--R 4 8 6 6 8 4 +--R (10a b + 28a b + 18a b )cos(x) +--R * +--R cot(x) +--R + +--R 3 9 5 7 7 5 9 3 +--R (- 4a b - 10a b - 8a b + 30a b )cos(x)cos(2x) +--R + +--R 3 9 5 7 9 3 +--R (- 4a b - 10a b + 6a b )cos(x) +--R * +--R 3 +--R sin(2x) +--R + +--R 2 10 4 8 6 6 8 4 2 +--R (11a b - 13a b - 19a b + 5a b )cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 2 10 4 8 +--R (24a b - 18a b - 36a b + 6a b )cos(2x) + 13a b - 5a b +--R + +--R 6 6 8 4 +--R - 13a b - 11a b +--R * +--R 3 +--R cot(x) +--R + +--R 3 9 5 7 7 5 9 3 2 +--R (25a b - 19a b - 41a b + 3a b )cos(2x) +--R + +--R 3 9 5 7 7 5 9 3 3 9 5 7 +--R (56a b - 22a b - 60a b + 18a b )cos(2x) + 31a b - 3a b +--R + +--R 7 5 9 3 +--R - 7a b - 21a b +--R * +--R 2 +--R cot(x) +--R + +--R 4 8 6 6 8 4 10 2 2 +--R (17a b + a b - 25a b - 9a b )cos(2x) +--R + +--R 4 8 6 6 8 4 10 2 4 8 6 6 +--R (40a b + 10a b - 12a b + 18a b )cos(2x) + 23a b + 9a b +--R + +--R 8 4 10 2 +--R 25a b - 9a b +--R * +--R cot(x) +--R + +--R 3 9 5 7 7 5 9 3 11 2 +--R (- 8a b - 17a b - 5a b + a b - 3a b)cos(2x) +--R + +--R 3 9 5 7 7 5 9 3 11 3 9 +--R (- 16a b - 40a b - 34a b - 4a b + 6a b)cos(2x) - 8a b +--R + +--R 5 7 7 5 9 3 11 +--R - 23a b - 29a b - a b - 3a b +--R * +--R sin(x) +--R + +--R 11 3 9 5 7 7 5 2 +--R (3a b + 7a b - 3a b - 7a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 +--R (8a b + 14a b + 12a b + 6a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 +--R (5a b + 7a b + 19a b + a b )cos(x) +--R * +--R 3 +--R cot(x) +--R + +--R 2 10 4 8 6 6 8 4 2 +--R (a b + 41a b + 7a b - 33a b )cos(x)cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 +--R (8a b + 74a b + 84a b + 18a b )cos(x)cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 +--R (7a b + 33a b + 89a b + 15a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 3 9 5 7 7 5 9 3 2 +--R (- 7a b + 61a b + 23a b - 45a b )cos(x)cos(2x) +--R + +--R 3 9 5 7 7 5 9 3 +--R (- 8a b + 106a b + 132a b + 18a b )cos(x)cos(2x) +--R + +--R 3 9 5 7 7 5 9 3 +--R (- a b + 45a b + 121a b + 27a b )cos(x) +--R * +--R cot(x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 2 +--R (- 8a b - 25a b + 15a b + 17a b - 15a b )cos(x)cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (- 16a b - 56a b - 2a b + 44a b + 6a b )cos(x)cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (- 8a b - 31a b - 17a b + 31a b + 9a b )cos(x) +--R * +--R 2 +--R sin(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 3 +--R (4a b - 12a b - 6a b + 40a b - 2a b )cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 2 +--R (14a b - 34a b - 36a b + 14a b + 2a b )cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (16a b - 28a b - 54a b - 40a b + 2a b )cos(2x) + 6a b +--R + +--R 3 9 5 7 7 5 9 3 +--R - 6a b - 24a b - 14a b - 2a b +--R * +--R 3 +--R cot(x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 3 +--R (7a b - 20a b - 16a b + 104a b - 3a b )cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 2 +--R (27a b - 66a b - 74a b + 22a b + 3a b )cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (33a b - 60a b - 104a b - 104a b + 3a b )cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R 13a b - 14a b - 46a b - 22a b - 3a b +--R * +--R 2 +--R cot(x) +--R + +--R 3 9 5 7 7 5 9 3 3 +--R (2a b - 4a b - 14a b + 88a b )cos(2x) +--R + +--R 3 9 5 7 7 5 9 3 2 +--R (12a b - 30a b - 40a b + 2a b )cos(2x) +--R + +--R 3 9 5 7 7 5 9 3 3 9 5 7 +--R (18a b - 36a b - 46a b - 88a b )cos(2x) + 8a b - 10a b +--R + +--R 7 5 9 3 +--R - 20a b - 2a b +--R * +--R cot(x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 3 +--R (- 5a b - 10a b + 6a b + 6a b + 27a b )cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 2 +--R (- 15a b - 40a b - 24a b + 4a b + 3a b )cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 2 10 +--R (- 15a b - 50a b - 66a b - 26a b - 27a b )cos(2x) - 5a b +--R + +--R 4 8 6 6 8 4 10 2 +--R - 20a b - 36a b - 24a b - 3a b +--R * +--R sin(x) +--R + +--R 12 2 10 4 8 6 6 8 4 3 +--R (- b + 4a b - 4a b + 24a b + a b )cos(x)cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 2 +--R (- b + 2a b - 2a b - 6a b - a b )cos(x)cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (b - 4a b + 4a b - 24a b - a b )cos(x)cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (b - 2a b + 2a b + 6a b + a b )cos(x) +--R * +--R 3 +--R cot(x) +--R + +--R 11 3 9 5 7 7 5 9 3 3 +--R (- 8a b + 28a b - 10a b + 56a b + 6a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 2 +--R (- 18a b + 42a b + 28a b - 38a b - 6a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (- 12a b + 12a b + 70a b - 56a b - 6a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (- 2a b - 2a b + 32a b + 38a b + 6a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 3 +--R (- 13a b + 44a b - 8a b + 40a b + 9a b )cos(x)cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 2 +--R (- 33a b + 78a b + 62a b - 58a b - 9a b )cos(x)cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (- 27a b + 36a b + 128a b - 40a b - 9a b )cos(x)cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (- 7a b + 2a b + 58a b + 58a b + 9a b )cos(x) +--R * +--R cot(x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 3 +--R (- 5a b - 15a b + 22a b + 8a b + 11a b + 3a b)cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 2 +--R (- 15a b - 55a b + 12a b + 38a b - 17a b - 3a b)cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (- 15a b - 65a b - 42a b + 32a b - 11a b - 3a b)cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (- 5a b - 25a b - 32a b + 2a b + 17a b + 3a b)cos(x) +--R * +--R sin(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 4 +--R (b + a b + 11a b + 19a b - 8a b )cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 3 +--R (4b - 4a b + 10a b + 24a b + 6a b )cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 2 +--R (6b - 14a b - 24a b - 10a b + 10a b )cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 12 2 10 +--R (4b - 12a b - 34a b - 24a b - 6a b )cos(2x) + b - 3a b +--R + +--R 4 8 6 6 8 4 +--R - 11a b - 9a b - 2a b +--R * +--R 3 +--R cot(x) +--R + +--R 11 3 9 5 7 7 5 9 3 4 +--R (2a b + 7a b + 31a b + 53a b - 21a b )cos(2x) +--R + +--R 11 5 7 7 5 9 3 3 +--R (8a b + 34a b + 60a b + 18a b )cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 2 +--R (12a b - 30a b - 52a b - 34a b + 24a b )cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (8a b - 32a b - 82a b - 60a b - 18a b )cos(2x) + 2a b +--R + +--R 3 9 5 7 7 5 9 3 +--R - 9a b - 27a b - 19a b - 3a b +--R * +--R 2 +--R cot(x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 4 +--R (a b + 11a b + 29a b + 49a b - 18a b )cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 3 +--R (4a b + 12a b + 38a b + 48a b + 18a b )cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 2 +--R (6a b - 18a b - 32a b - 38a b + 18a b )cos(2x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 2 10 +--R (4a b - 28a b - 62a b - 48a b - 18a b )cos(2x) + a b +--R + +--R 4 8 6 6 8 4 +--R - 9a b - 21a b - 11a b +--R * +--R cot(x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 4 +--R (- a b - a b + 7a b + 11a b + 14a b - 6a b)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 3 +--R (- 4a b - 8a b + 8a b + 22a b + 16a b + 6a b)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 2 +--R (- 6a b - 18a b - 18a b - 4a b - 8a b + 6a b)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 11 +--R (- 4a b - 16a b - 32a b - 30a b - 16a b - 6a b)cos(2x) - a b +--R + +--R 3 9 5 7 7 5 9 3 +--R - 5a b - 13a b - 15a b - 6a b +--R * +--R sin(x) +--R + +--R 11 3 9 5 7 7 5 4 +--R (5a b + 9a b + 15a b - 5a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 3 +--R (8a b + 14a b + 12a b + 6a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 2 +--R (- 2a b - 4a b - 14a b + 4a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 +--R (- 8a b - 14a b - 12a b - 6a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 +--R (- 3a b - 5a b - a b + a b )cos(x) +--R * +--R 3 +--R cot(x) +--R + +--R 12 2 10 4 8 6 6 8 4 4 +--R (- b + 19a b + 25a b + 41a b - 12a b )cos(x)cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 3 +--R (- 4b + 36a b + 46a b + 24a b + 18a b )cos(x)cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 2 +--R (- 6b + 6a b + 8a b - 46a b + 6a b )cos(x)cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (- 4b - 20a b - 22a b - 24a b - 18a b )cos(x)cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 +--R (- b - 9a b - 9a b + 5a b + 6a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 11 3 9 5 7 7 5 9 3 4 +--R (- 2a b + 23a b + 23a b + 37a b - 9a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 3 +--R (- 8a b + 48a b + 50a b + 12a b + 18a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 2 +--R (- 12a b + 18a b + 28a b - 50a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (- 8a b - 16a b - 2a b - 12a b - 18a b )cos(x)cos(2x) +--R + +--R 11 3 9 5 7 7 5 9 3 +--R (- 2a b - 9a b - 3a b + 13a b + 9a b )cos(x) +--R * +--R cot(x) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 4 +--R (- b - 2a b + 11a b + 9a b + 10a b - 3a b )cos(x)cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 3 +--R (- 4b - 12a b + 20a b + 26a b + 4a b + 6a b )cos(x)cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 2 +--R (- 6b - 24a b - 6a b + 16a b - 12a b )cos(x)cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 +--R (- 4b - 20a b - 28a b - 10a b - 4a b - 6a b )cos(x)cos(2x) +--R + +--R 12 2 10 4 8 6 6 8 4 10 2 +--R (- b - 6a b - 13a b - 9a b + 2a b + 3a b )cos(x) +--R / +--R 4 11 6 9 8 7 10 5 4 11 6 9 +--R (4a b + 12a b + 12a b + 4a b )cos(2x) + 4a b + 12a b +--R + +--R 8 7 10 5 +--R 12a b + 4a b +--R * +--R 3 +--R cot(x) +--R + +--R 5 10 7 8 9 6 11 4 5 10 +--R (12a b + 36a b + 36a b + 12a b )cos(2x) + 12a b +--R + +--R 7 8 9 6 11 4 +--R 36a b + 36a b + 12a b +--R * +--R 2 +--R cot(x) +--R + +--R 6 9 8 7 10 5 12 3 6 9 +--R (12a b + 36a b + 36a b + 12a b )cos(2x) + 12a b +--R + +--R 8 7 10 5 12 3 +--R 36a b + 36a b + 12a b +--R * +--R cot(x) +--R + +--R 7 8 9 6 11 4 13 2 7 8 9 6 +--R (4a b + 12a b + 12a b + 4a b )cos(2x) + 4a b + 12a b +--R + +--R 11 4 13 2 +--R 12a b + 4a b +--R * +--R sin(x) +--R + +--R 3 12 5 10 7 8 9 6 +--R (4a b + 12a b + 12a b + 4a b )cos(x)cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 +--R (4a b + 12a b + 12a b + 4a b )cos(x) +--R * +--R 3 +--R cot(x) +--R + +--R 4 11 6 9 8 7 10 5 +--R (12a b + 36a b + 36a b + 12a b )cos(x)cos(2x) +--R + +--R 4 11 6 9 8 7 10 5 +--R (12a b + 36a b + 36a b + 12a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 5 10 7 8 9 6 11 4 +--R (12a b + 36a b + 36a b + 12a b )cos(x)cos(2x) +--R + +--R 5 10 7 8 9 6 11 4 +--R (12a b + 36a b + 36a b + 12a b )cos(x) +--R * +--R cot(x) +--R + +--R 6 9 8 7 10 5 12 3 +--R (4a b + 12a b + 12a b + 4a b )cos(x)cos(2x) +--R + +--R 6 9 8 7 10 5 12 3 +--R (4a b + 12a b + 12a b + 4a b )cos(x) +--R * +--R 3 +--R sin(2x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 2 +--R (8a b + 20a b + 12a b - 4a b - 4a b )cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 3 12 +--R (16a b + 48a b + 48a b + 16a b )cos(2x) + 8a b +--R + +--R 5 10 7 8 9 6 11 4 +--R 28a b + 36a b + 20a b + 4a b +--R * +--R 3 +--R cot(x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 2 +--R (24a b + 60a b + 36a b - 12a b - 12a b )cos(2x) +--R + +--R 4 11 6 9 8 7 10 5 4 11 +--R (48a b + 144a b + 144a b + 48a b )cos(2x) + 24a b +--R + +--R 6 9 8 7 10 5 12 3 +--R 84a b + 108a b + 60a b + 12a b +--R * +--R 2 +--R cot(x) +--R + +--R 5 10 7 8 9 6 11 4 13 2 2 +--R (24a b + 60a b + 36a b - 12a b - 12a b )cos(2x) +--R + +--R 5 10 7 8 9 6 11 4 5 10 +--R (48a b + 144a b + 144a b + 48a b )cos(2x) + 24a b +--R + +--R 7 8 9 6 11 4 13 2 +--R 84a b + 108a b + 60a b + 12a b +--R * +--R cot(x) +--R + +--R 6 9 8 7 10 5 12 3 14 2 +--R (8a b + 20a b + 12a b - 4a b - 4a b)cos(2x) +--R + +--R 6 9 8 7 10 5 12 3 6 9 8 7 +--R (16a b + 48a b + 48a b + 16a b )cos(2x) + 8a b + 28a b +--R + +--R 10 5 12 3 14 +--R 36a b + 20a b + 4a b +--R * +--R sin(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 2 +--R (8a b + 20a b + 12a b - 4a b - 4a b )cos(x)cos(2x) +--R + +--R 2 13 4 11 6 9 8 7 +--R (16a b + 48a b + 48a b + 16a b )cos(x)cos(2x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (8a b + 28a b + 36a b + 20a b + 4a b )cos(x) +--R * +--R 3 +--R cot(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 2 +--R (24a b + 60a b + 36a b - 12a b - 12a b )cos(x)cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 +--R (48a b + 144a b + 144a b + 48a b )cos(x)cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R (24a b + 84a b + 108a b + 60a b + 12a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 2 +--R (24a b + 60a b + 36a b - 12a b - 12a b )cos(x)cos(2x) +--R + +--R 4 11 6 9 8 7 10 5 +--R (48a b + 144a b + 144a b + 48a b )cos(x)cos(2x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R (24a b + 84a b + 108a b + 60a b + 12a b )cos(x) +--R * +--R cot(x) +--R + +--R 5 10 7 8 9 6 11 4 13 2 2 +--R (8a b + 20a b + 12a b - 4a b - 4a b )cos(x)cos(2x) +--R + +--R 5 10 7 8 9 6 11 4 +--R (16a b + 48a b + 48a b + 16a b )cos(x)cos(2x) +--R + +--R 5 10 7 8 9 6 11 4 13 2 +--R (8a b + 28a b + 36a b + 20a b + 4a b )cos(x) +--R * +--R 2 +--R sin(2x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 3 +--R (5a b + 9a b - 2a b - 10a b - 3a b + a b )cos(2x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 2 +--R (15a b + 39a b + 26a b - 6a b - 9a b - a b )cos(2x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (15a b + 51a b + 62a b + 30a b + 3a b - a b )cos(2x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R 5a b + 21a b + 34a b + 26a b + 9a b + a b +--R * +--R 3 +--R cot(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (15a b + 27a b - 6a b - 30a b - 9a b + 3a b ) +--R * +--R 3 +--R cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (45a b + 117a b + 78a b - 18a b - 27a b - 3a b ) +--R * +--R 2 +--R cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (45a b + 153a b + 186a b + 90a b + 9a b - 3a b ) +--R * +--R cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R 15a b + 63a b + 102a b + 78a b + 27a b + 3a b +--R * +--R 2 +--R cot(x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 3 +--R (15a b + 27a b - 6a b - 30a b - 9a b + 3a b)cos(2x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R (45a b + 117a b + 78a b - 18a b - 27a b - 3a b) +--R * +--R 2 +--R cos(2x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R (45a b + 153a b + 186a b + 90a b + 9a b - 3a b) +--R * +--R cos(2x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R 15a b + 63a b + 102a b + 78a b + 27a b + 3a b +--R * +--R cot(x) +--R + +--R 5 10 7 8 9 6 11 4 13 2 15 3 +--R (5a b + 9a b - 2a b - 10a b - 3a b + a )cos(2x) +--R + +--R 5 10 7 8 9 6 11 4 13 2 15 2 +--R (15a b + 39a b + 26a b - 6a b - 9a b - a )cos(2x) +--R + +--R 5 10 7 8 9 6 11 4 13 2 15 +--R (15a b + 51a b + 62a b + 30a b + 3a b - a )cos(2x) +--R + +--R 5 10 7 8 9 6 11 4 13 2 15 +--R 5a b + 21a b + 34a b + 26a b + 9a b + a +--R * +--R sin(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 3 +--R (5a b + 9a b - 2a b - 10a b - 3a b + a b )cos(x)cos(2x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (15a b + 39a b + 26a b - 6a b - 9a b - a b )cos(x) +--R * +--R 2 +--R cos(2x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (15a b + 51a b + 62a b + 30a b + 3a b - a b )cos(x) +--R * +--R cos(2x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (5a b + 21a b + 34a b + 26a b + 9a b + a b )cos(x) +--R * +--R 3 +--R cot(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (15a b + 27a b - 6a b - 30a b - 9a b + 3a b )cos(x) +--R * +--R 3 +--R cos(2x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (45a b + 117a b + 78a b - 18a b - 27a b - 3a b )cos(x) +--R * +--R 2 +--R cos(2x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (45a b + 153a b + 186a b + 90a b + 9a b - 3a b )cos(x) +--R * +--R cos(2x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (15a b + 63a b + 102a b + 78a b + 27a b + 3a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (15a b + 27a b - 6a b - 30a b - 9a b + 3a b )cos(x) +--R * +--R 3 +--R cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (45a b + 117a b + 78a b - 18a b - 27a b - 3a b )cos(x) +--R * +--R 2 +--R cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (45a b + 153a b + 186a b + 90a b + 9a b - 3a b )cos(x) +--R * +--R cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (15a b + 63a b + 102a b + 78a b + 27a b + 3a b )cos(x) +--R * +--R cot(x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 3 +--R (5a b + 9a b - 2a b - 10a b - 3a b + a b)cos(x)cos(2x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 2 +--R (15a b + 39a b + 26a b - 6a b - 9a b - a b)cos(x)cos(2x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R (15a b + 51a b + 62a b + 30a b + 3a b - a b)cos(x)cos(2x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R (5a b + 21a b + 34a b + 26a b + 9a b + a b)cos(x) +--R * +--R sin(2x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 4 +--R (a b + a b - 2a b - 2a b + a b + a b )cos(2x) +--R + +--R 14 3 12 7 8 9 6 3 +--R (4a b + 8a b - 8a b - 4a b )cos(2x) +--R + +--R 14 3 12 5 10 9 6 11 4 2 +--R (6a b + 18a b + 16a b - 6a b - 2a b )cos(2x) +--R + +--R 14 3 12 5 10 7 8 9 6 14 +--R (4a b + 16a b + 24a b + 16a b + 4a b )cos(2x) + a b +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R 5a b + 10a b + 10a b + 5a b + a b +--R * +--R 3 +--R cot(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 4 +--R (3a b + 3a b - 6a b - 6a b + 3a b + 3a b )cos(2x) +--R + +--R 2 13 4 11 8 7 10 5 3 +--R (12a b + 24a b - 24a b - 12a b )cos(2x) +--R + +--R 2 13 4 11 6 9 10 5 12 3 2 +--R (18a b + 54a b + 48a b - 18a b - 6a b )cos(2x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 2 13 +--R (12a b + 48a b + 72a b + 48a b + 12a b )cos(2x) + 3a b +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R 15a b + 30a b + 30a b + 15a b + 3a b +--R * +--R 2 +--R cot(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 4 +--R (3a b + 3a b - 6a b - 6a b + 3a b + 3a b )cos(2x) +--R + +--R 3 12 5 10 9 6 11 4 3 +--R (12a b + 24a b - 24a b - 12a b )cos(2x) +--R + +--R 3 12 5 10 7 8 11 4 13 2 2 +--R (18a b + 54a b + 48a b - 18a b - 6a b )cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 3 12 +--R (12a b + 48a b + 72a b + 48a b + 12a b )cos(2x) + 3a b +--R + +--R 5 10 7 8 9 6 11 4 13 2 +--R 15a b + 30a b + 30a b + 15a b + 3a b +--R * +--R cot(x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 4 +--R (a b + a b - 2a b - 2a b + a b + a b)cos(2x) +--R + +--R 4 11 6 9 10 5 12 3 3 +--R (4a b + 8a b - 8a b - 4a b )cos(2x) +--R + +--R 4 11 6 9 8 7 12 3 14 2 +--R (6a b + 18a b + 16a b - 6a b - 2a b)cos(2x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 4 11 6 9 +--R (4a b + 16a b + 24a b + 16a b + 4a b )cos(2x) + a b + 5a b +--R + +--R 8 7 10 5 12 3 14 +--R 10a b + 10a b + 5a b + a b +--R * +--R sin(x) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 4 +--R (b + a b - 2a b - 2a b + a b + a b )cos(x)cos(2x) +--R + +--R 15 2 13 6 9 8 7 3 +--R (4b + 8a b - 8a b - 4a b )cos(x)cos(2x) +--R + +--R 15 2 13 4 11 8 7 10 5 2 +--R (6b + 18a b + 16a b - 6a b - 2a b )cos(x)cos(2x) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R (4b + 16a b + 24a b + 16a b + 4a b )cos(x)cos(2x) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 +--R (b + 5a b + 10a b + 10a b + 5a b + a b )cos(x) +--R * +--R 3 +--R cot(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 4 +--R (3a b + 3a b - 6a b - 6a b + 3a b + 3a b )cos(x)cos(2x) +--R + +--R 14 3 12 7 8 9 6 3 +--R (12a b + 24a b - 24a b - 12a b )cos(x)cos(2x) +--R + +--R 14 3 12 5 10 9 6 11 4 2 +--R (18a b + 54a b + 48a b - 18a b - 6a b )cos(x)cos(2x) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (12a b + 48a b + 72a b + 48a b + 12a b )cos(x)cos(2x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (3a b + 15a b + 30a b + 30a b + 15a b + 3a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 4 +--R (3a b + 3a b - 6a b - 6a b + 3a b + 3a b )cos(x)cos(2x) +--R + +--R 2 13 4 11 8 7 10 5 3 +--R (12a b + 24a b - 24a b - 12a b )cos(x)cos(2x) +--R + +--R 2 13 4 11 6 9 10 5 12 3 2 +--R (18a b + 54a b + 48a b - 18a b - 6a b )cos(x)cos(2x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (12a b + 48a b + 72a b + 48a b + 12a b )cos(x)cos(2x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (3a b + 15a b + 30a b + 30a b + 15a b + 3a b )cos(x) +--R * +--R cot(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 4 +--R (a b + a b - 2a b - 2a b + a b + a b )cos(x)cos(2x) +--R + +--R 3 12 5 10 9 6 11 4 3 +--R (4a b + 8a b - 8a b - 4a b )cos(x)cos(2x) +--R + +--R 3 12 5 10 7 8 11 4 13 2 2 +--R (6a b + 18a b + 16a b - 6a b - 2a b )cos(x)cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R (4a b + 16a b + 24a b + 16a b + 4a b )cos(x)cos(2x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (a b + 5a b + 10a b + 10a b + 5a b + a b )cos(x) +--R Type: Expression Integer +--E 309 + +--S 310 of 510 +t0261:= (a+b*cot(x))^(1/2) +--R +--R +--R +------------+ +--R (286) \|b cot(x) + a +--R Type: Expression Integer +--E 310 + +--S 311 of 510 +r0261:= -b*((a-(-b^2)^(1/2))^(1/2)*atanh((a+b*cot(x))^(1/2)/(a-(-b^2)^(1/2))^(1/2))-(a+(-b^2)^(1/2))^(1/2)*atanh((a+b*cot(x))^(1/2)/(a+(-b^2)^(1/2))^(1/2)))/(-b^2)^(1/2) +--R +--R +--R (287) +--R +-------------+ +--R | +----+ +------------+ +--R | | 2 \|b cot(x) + a +--R - b\|- \|- b + a atanh(----------------) +--R +-------------+ +--R | +----+ +--R | | 2 +--R \|- \|- b + a +--R + +--R +-----------+ +--R | +----+ +------------+ +--R | | 2 \|b cot(x) + a +--R b\|\|- b + a atanh(---------------) +--R +-----------+ +--R | +----+ +--R | | 2 +--R \|\|- b + a +--R / +--R +----+ +--R | 2 +--R \|- b +--R Type: Expression Integer +--E 311 + +--S 312 of 510 +a0261:= integrate(t0261,x) +--R +--R +--R >> Error detected within library code: +--R ker2trigs: cannot convert kernel to gaussian function +--R +--R Continuing to read the file... +--R +--E 312 + +--S 313 of 510 +m0261:= a0261-r0261 +--R +--R +--R (288) +--R +-------------+ +--R | +----+ +------------+ +--R | | 2 \|b cot(x) + a +--R b\|- \|- b + a atanh(----------------) +--R +-------------+ +--R | +----+ +--R | | 2 +--R \|- \|- b + a +--R + +--R +-----------+ +--R | +----+ +------------+ +----+ +--R | | 2 \|b cot(x) + a | 2 +--R - b\|\|- b + a atanh(---------------) + a0261\|- b +--R +-----------+ +--R | +----+ +--R | | 2 +--R \|\|- b + a +--R / +--R +----+ +--R | 2 +--R \|- b +--R Type: Expression Integer +--E 313 + +--S 314 of 510 +d0261:= D(m0261,x) +--R +--R +--R - b cot(x) - a +--R (289) --------------- +--R +------------+ +--R \|b cot(x) + a +--R Type: Expression Integer +--E 314 + +--S 315 of 510 +t0262:= 1/(a+b*cot(x))^(1/2) +--R +--R +--R 1 +--R (290) --------------- +--R +------------+ +--R \|b cot(x) + a +--R Type: Expression Integer +--E 315 + +--S 316 of 510 +r0262:= -b*atanh((a+b*cot(x))^(1/2)/(a-(-b^2)^(1/2))^(1/2))/(-b^2)^(1/2)/(a-(-b^2)^(1/2))^(1/2)+b*atanh((a+b*cot(x))^(1/2)/(a+(-b^2)^(1/2))^(1/2))/(-b^2)^(1/2)/(a+(-b^2)^(1/2))^(1/2) +--R +--R +--R (291) +--R +-----------+ +--R | +----+ +------------+ +--R | | 2 \|b cot(x) + a +--R - b\|\|- b + a atanh(----------------) +--R +-------------+ +--R | +----+ +--R | | 2 +--R \|- \|- b + a +--R + +--R +-------------+ +--R | +----+ +------------+ +--R | | 2 \|b cot(x) + a +--R b\|- \|- b + a atanh(---------------) +--R +-----------+ +--R | +----+ +--R | | 2 +--R \|\|- b + a +--R / +--R +-------------+ +-----------+ +--R +----+ | +----+ | +----+ +--R | 2 | | 2 | | 2 +--R \|- b \|- \|- b + a \|\|- b + a +--R Type: Expression Integer +--E 316 + +--S 317 of 510 +a0262:= integrate(t0262,x) +--R +--R +--R >> Error detected within library code: +--R ker2trigs: cannot convert kernel to gaussian function +--R +--R Continuing to read the file... +--R +--E 317 + +--S 318 of 510 +m0262:= a0262-r0262 +--R +--R +--R (292) +--R +-----------+ +--R | +----+ +------------+ +--R | | 2 \|b cot(x) + a +--R b\|\|- b + a atanh(----------------) +--R +-------------+ +--R | +----+ +--R | | 2 +--R \|- \|- b + a +--R + +--R +-------------+ +--R | +----+ +------------+ +--R | | 2 \|b cot(x) + a +--R - b\|- \|- b + a atanh(---------------) +--R +-----------+ +--R | +----+ +--R | | 2 +--R \|\|- b + a +--R + +--R +-------------+ +-----------+ +--R +----+ | +----+ | +----+ +--R | 2 | | 2 | | 2 +--R a0262\|- b \|- \|- b + a \|\|- b + a +--R / +--R +-------------+ +-----------+ +--R +----+ | +----+ | +----+ +--R | 2 | | 2 | | 2 +--R \|- b \|- \|- b + a \|\|- b + a +--R Type: Expression Integer +--E 318 + +--S 319 of 510 +d0262:= D(m0262,x) +--R +--R +--R 1 +--R (293) - --------------- +--R +------------+ +--R \|b cot(x) + a +--R Type: Expression Integer +--E 319 + +--S 320 of 510 +t0263:= (a+b*cot(x)^2)^(1/2) +--R +--R +--R +-------------+ +--R | 2 +--R (294) \|b cot(x) + a +--R Type: Expression Integer +--E 320 + +--S 321 of 510 +r0263:= -(a-b)^(1/2)*atan((a-b)^(1/2)*cot(x)/(a+b*cot(x)^2)^(1/2))-b^(1/2)*atanh((a+b*cot(x)^2)^(1/2)*tan(x)/b^(1/2)) +--R +--R +--R (295) +--R +-------------+ +--R | 2 +-------+ +--R +-+ tan(x)\|b cot(x) + a +-------+ cot(x)\|- b + a +--R - \|b atanh(----------------------) - \|- b + a atan(----------------) +--R +-+ +-------------+ +--R \|b | 2 +--R \|b cot(x) + a +--R Type: Expression Integer +--E 321 + +--S 322 of 510 +a0263:= integrate(t0263,x) +--R +--R +--R (296) +--R [ +--R +-----+ +-+ +--R 2\|b - a \|b +--R * +--R log +--R 3 2 2 3 8 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (64b - 352a b + 512a b - 224a )cos(x) +--R + +--R 2 2 3 4 2 3 2 +--R (64a b - 176a b + 112a )cos(x) + (12a b - 14a )cos(x) +--R * +--R +-+ +--R \|b +--R + +--R 3 2 2 3 10 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 8 +--R (128b - 576a b + 768a b - 320a )cos(x) +--R + +--R 3 2 2 3 6 +--R (- 64b + 320a b - 528a b + 272a )cos(x) +--R + +--R 2 2 3 4 +--R (- 64a b + 144a b - 88a )cos(x) +--R + +--R 2 3 2 +--R (- 12a b + 8a )cos(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 8 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (- 64b + 416a b - 640a b + 288a )cos(x) +--R + +--R 2 2 3 4 +--R (- 96a b + 304a b - 208a )cos(x) +--R + +--R 2 3 2 3 +--R (- 36a b + 50a )cos(x) - 2a +--R * +--R +-----+ +-+ +--R \|b - a \|b +--R + +--R 4 3 2 2 3 4 10 +--R (128b - 512a b + 768a b - 512a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (- 128b + 768a b - 1536a b + 1280a b - 384a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (64b - 448a b + 1120a b - 1152a b + 416a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (96a b - 352a b + 448a b - 192a )cos(x) +--R + +--R 2 2 3 4 2 3 4 +--R (36a b - 68a b + 33a )cos(x) + 2a b - a +--R / +--R 3 2 2 3 10 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 8 +--R (- 128b + 576a b - 768a b + 320a )cos(x) +--R + +--R 2 2 3 6 +--R (- 192a b + 464a b - 272a )cos(x) +--R + +--R 2 3 4 3 2 +--R (- 80a b + 88a )cos(x) - 8a cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ |(b - a)cos(x) + a +--R \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 4 3 2 2 3 4 10 +--R (- 128b + 512a b - 768a b + 512a b - 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (128b - 768a b + 1536a b - 1280a b + 384a )cos(x) +--R + +--R 3 2 2 3 4 6 +--R (256a b - 928a b + 1088a b - 416a )cos(x) +--R + +--R 2 2 3 4 4 3 4 2 4 +--R (160a b - 352a b + 192a )cos(x) + (32a b - 33a )cos(x) + a +--R + +--R (- b + a) +--R * +--R log +--R +------------------+ +--R | 2 +--R 4 2 +-----+ |(b - a)cos(x) + a +--R ((- 8b + 8a)cos(x) - 4a cos(x) )\|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (8a b - 8a )cos(x) + a +--R / +--R +-----+ +--R 4\|b - a +--R , +--R +--R (- b + a) +--R * +--R log +--R +------------------+ +--R | 2 +--R 4 2 +-----+ |(b - a)cos(x) + a +--R ((- 8b + 8a)cos(x) - 4a cos(x) )\|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (8a b - 8a )cos(x) + a +--R + +--R +---+ +-----+ +--R 4\|- b \|b - a +--R * +--R atan +--R +------------------+ +--R | 2 +--R 2 +---+ |(b - a)cos(x) + a 2 +---+ +-----+ +--R cos(x) \|- b |------------------ + (- cos(x) + 1)\|- b \|b - a +--R | 2 +--R \| cos(x) +--R ------------------------------------------------------------------ +--R b +--R / +--R +-----+ +--R 4\|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 322 + +--S 323 of 510 +m0263a:= a0263.1-r0263 +--R +--R +--R (297) +--R +-----+ +-+ +--R 2\|b - a \|b +--R * +--R log +--R 3 2 2 3 8 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (64b - 352a b + 512a b - 224a )cos(x) +--R + +--R 2 2 3 4 2 3 2 +--R (64a b - 176a b + 112a )cos(x) + (12a b - 14a )cos(x) +--R * +--R +-+ +--R \|b +--R + +--R 3 2 2 3 10 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 8 +--R (128b - 576a b + 768a b - 320a )cos(x) +--R + +--R 3 2 2 3 6 +--R (- 64b + 320a b - 528a b + 272a )cos(x) +--R + +--R 2 2 3 4 2 3 2 +--R (- 64a b + 144a b - 88a )cos(x) + (- 12a b + 8a )cos(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 8 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (- 64b + 416a b - 640a b + 288a )cos(x) +--R + +--R 2 2 3 4 2 3 2 +--R (- 96a b + 304a b - 208a )cos(x) + (- 36a b + 50a )cos(x) +--R + +--R 3 +--R - 2a +--R * +--R +-----+ +-+ +--R \|b - a \|b +--R + +--R 4 3 2 2 3 4 10 +--R (128b - 512a b + 768a b - 512a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (- 128b + 768a b - 1536a b + 1280a b - 384a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (64b - 448a b + 1120a b - 1152a b + 416a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (96a b - 352a b + 448a b - 192a )cos(x) +--R + +--R 2 2 3 4 2 3 4 +--R (36a b - 68a b + 33a )cos(x) + 2a b - a +--R / +--R 3 2 2 3 10 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 8 +--R (- 128b + 576a b - 768a b + 320a )cos(x) +--R + +--R 2 2 3 6 +--R (- 192a b + 464a b - 272a )cos(x) +--R + +--R 2 3 4 3 2 +--R (- 80a b + 88a )cos(x) - 8a cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ |(b - a)cos(x) + a +--R \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 4 3 2 2 3 4 10 +--R (- 128b + 512a b - 768a b + 512a b - 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (128b - 768a b + 1536a b - 1280a b + 384a )cos(x) +--R + +--R 3 2 2 3 4 6 +--R (256a b - 928a b + 1088a b - 416a )cos(x) +--R + +--R 2 2 3 4 4 3 4 2 4 +--R (160a b - 352a b + 192a )cos(x) + (32a b - 33a )cos(x) + a +--R + +--R (- b + a) +--R * +--R log +--R +------------------+ +--R | 2 +--R 4 2 +-----+ |(b - a)cos(x) + a +--R ((- 8b + 8a)cos(x) - 4a cos(x) )\|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (8a b - 8a )cos(x) + a +--R + +--R +-------------+ +--R | 2 +--R +-----+ +-+ tan(x)\|b cot(x) + a +--R 4\|b - a \|b atanh(----------------------) +--R +-+ +--R \|b +--R + +--R +-------+ +--R +-------+ +-----+ cot(x)\|- b + a +--R 4\|- b + a \|b - a atan(----------------) +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R / +--R +-----+ +--R 4\|b - a +--R Type: Expression Integer +--E 323 + +--S 324 of 510 +d0263a:= D(m0263a,x) +--R +--R +--R (298) +--R 14 13 2 12 +--R 134217728b - 1744830464a b + 10468982784a b +--R + +--R 3 11 4 10 +--R - 38386270208a b + 95965675520a b +--R + +--R 5 9 6 8 +--R - 172738215936a b + 230317621248a b +--R + +--R 7 7 8 6 +--R - 230317621248a b + 172738215936a b +--R + +--R 9 5 10 4 +--R - 95965675520a b + 38386270208a b +--R + +--R 11 3 12 2 +--R - 10468982784a b + 1744830464a b +--R + +--R 13 +--R - 134217728a b +--R * +--R 29 +--R cos(x) +--R + +--R 14 13 +--R - 67108864b + 1778384896a b +--R + +--R 2 12 3 11 +--R - 16106127360a b + 78987132928a b +--R + +--R 4 10 5 9 +--R - 247296163840a b + 534824091648a b +--R + +--R 6 8 7 7 +--R - 832686784512a b + 952274780160a b +--R + +--R 8 6 9 5 +--R - 803897081856a b + 496437821440a b +--R + +--R 10 4 11 3 +--R - 218506461184a b + 65028489216a b +--R + +--R 12 2 13 +--R - 11744051200a b + 973078528a b +--R * +--R 27 +--R cos(x) +--R + +--R 13 2 12 +--R - 436207616a b + 7952400384a b +--R + +--R 3 11 4 10 +--R - 58686701568a b + 245450670080a b +--R + +--R 5 9 6 8 +--R - 664377753600a b + 1242386399232a b +--R + +--R 7 7 8 6 +--R - 1658729791488a b + 1601150386176a b +--R + +--R 9 5 10 4 +--R - 1112832737280a b + 544420659200a b +--R + +--R 11 3 12 2 +--R - 178274697216a b + 35131490304a b +--R + +--R 13 +--R - 3154116608a b +--R * +--R 25 +--R cos(x) +--R + +--R 2 12 3 11 +--R - 1254096896a b + 18570280960a b +--R + +--R 4 10 5 9 +--R - 116727480320a b + 421810667520a b +--R + +--R 6 8 7 7 +--R - 986877788160a b + 1582187937792a b +--R + +--R 8 6 9 5 +--R - 1782746972160a b + 1416647147520a b +--R + +--R 10 4 11 3 +--R - 779951800320a b + 283860008960a b +--R + +--R 12 2 13 +--R - 61547216896a b + 6029312000a b +--R * +--R 23 +--R cos(x) +--R + +--R 3 11 4 10 +--R - 2099249152a b + 26442465280a b +--R + +--R 5 9 6 8 +--R - 143515975680a b + 448108953600a b +--R + +--R 7 7 8 6 +--R - 898640117760a b + 1215707480064a b +--R + +--R 9 5 10 4 +--R - 1127539015680a b + 709707694080a b +--R + +--R 11 3 12 2 +--R - 290665267200a b + 70042255360a b +--R + +--R 13 +--R - 7549222912a b +--R * +--R 21 +--R cos(x) +--R + +--R 4 10 5 9 +--R - 2266234880a b + 24632229888a b +--R + +--R 6 8 7 7 +--R - 115473383424a b + 308974977024a b +--R + +--R 8 6 9 5 +--R - 522768089088a b + 582073712640a b +--R + +--R 10 4 11 3 +--R - 427586224128a b + 200195702784a b +--R + +--R 12 2 13 +--R - 54285041664a b + 6502350848a b +--R * +--R 19 +--R cos(x) +--R + +--R 5 9 6 8 +--R - 1651113984a b + 15495069696a b +--R + +--R 7 7 8 6 +--R - 62234296320a b + 140471697408a b +--R + +--R 9 5 10 4 +--R - 195593502720a b + 172477906944a b +--R + +--R 11 3 12 2 +--R - 94240505856a b + 29212016640a b +--R + +--R 13 +--R - 3937271808a b +--R * +--R 17 +--R cos(x) +--R + +--R 6 8 7 7 +--R - 825556992a b + 6636208128a b +--R + +--R 8 6 9 5 +--R - 22480551936a b + 41754132480a b +--R + +--R 10 4 11 3 +--R - 46040678400a b + 30196334592a b +--R + +--R 12 2 13 +--R - 10922754048a b + 1682866176a b +--R * +--R 15 +--R cos(x) +--R + +--R 7 7 8 6 9 5 +--R - 282427392a b + 1914531840a b - 5336248320a b +--R + +--R 10 4 11 3 +--R 7848222720a b - 6436085760a b +--R + +--R 12 2 13 +--R 2794401792a b - 502394880a b +--R * +--R 13 +--R cos(x) +--R + +--R 8 6 9 5 10 4 +--R - 64722944a b + 360954880a b - 796590080a b +--R + +--R 11 3 12 2 13 +--R 871270400a b - 472975360a b + 102063104a b +--R * +--R 11 +--R cos(x) +--R + +--R 9 5 10 4 11 3 +--R - 9518080a b + 42025984a b - 68969472a b +--R + +--R 12 2 13 +--R 49933312a b - 13471744a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 4 11 3 12 2 +--R - 832832a b + 2734368a b - 2970240a b +--R + +--R 13 +--R 1068704a b +--R * +--R 7 +--R cos(x) +--R + +--R 11 3 12 2 13 5 +--R (- 37856a b + 82264a b - 44408a b)cos(x) +--R + +--R 12 2 13 3 13 +--R (- 676a b + 730a b)cos(x) - 2a b cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 13 2 12 3 11 +--R 134217728a b - 1744830464a b + 10468982784a b +--R + +--R 4 10 5 9 +--R - 38386270208a b + 95965675520a b +--R + +--R 6 8 7 7 +--R - 172738215936a b + 230317621248a b +--R + +--R 8 6 9 5 +--R - 230317621248a b + 172738215936a b +--R + +--R 10 4 11 3 +--R - 95965675520a b + 38386270208a b +--R + +--R 12 2 13 14 +--R - 10468982784a b + 1744830464a b - 134217728a +--R * +--R 29 +--R cos(x) +--R + +--R 13 2 12 3 11 +--R - 67108864a b + 1778384896a b - 16106127360a b +--R + +--R 4 10 5 9 +--R 78987132928a b - 247296163840a b +--R + +--R 6 8 7 7 +--R 534824091648a b - 832686784512a b +--R + +--R 8 6 9 5 +--R 952274780160a b - 803897081856a b +--R + +--R 10 4 11 3 +--R 496437821440a b - 218506461184a b +--R + +--R 12 2 13 14 +--R 65028489216a b - 11744051200a b + 973078528a +--R * +--R 27 +--R cos(x) +--R + +--R 2 12 3 11 4 10 +--R - 436207616a b + 7952400384a b - 58686701568a b +--R + +--R 5 9 6 8 +--R 245450670080a b - 664377753600a b +--R + +--R 7 7 8 6 +--R 1242386399232a b - 1658729791488a b +--R + +--R 9 5 10 4 +--R 1601150386176a b - 1112832737280a b +--R + +--R 11 3 12 2 +--R 544420659200a b - 178274697216a b +--R + +--R 13 14 +--R 35131490304a b - 3154116608a +--R * +--R 25 +--R cos(x) +--R + +--R 3 11 4 10 +--R - 1254096896a b + 18570280960a b +--R + +--R 5 9 6 8 +--R - 116727480320a b + 421810667520a b +--R + +--R 7 7 8 6 +--R - 986877788160a b + 1582187937792a b +--R + +--R 9 5 10 4 +--R - 1782746972160a b + 1416647147520a b +--R + +--R 11 3 12 2 +--R - 779951800320a b + 283860008960a b +--R + +--R 13 14 +--R - 61547216896a b + 6029312000a +--R * +--R 23 +--R cos(x) +--R + +--R 4 10 5 9 +--R - 2099249152a b + 26442465280a b +--R + +--R 6 8 7 7 +--R - 143515975680a b + 448108953600a b +--R + +--R 8 6 9 5 +--R - 898640117760a b + 1215707480064a b +--R + +--R 10 4 11 3 +--R - 1127539015680a b + 709707694080a b +--R + +--R 12 2 13 14 +--R - 290665267200a b + 70042255360a b - 7549222912a +--R * +--R 21 +--R cos(x) +--R + +--R 5 9 6 8 7 7 +--R - 2266234880a b + 24632229888a b - 115473383424a b +--R + +--R 8 6 9 5 +--R 308974977024a b - 522768089088a b +--R + +--R 10 4 11 3 +--R 582073712640a b - 427586224128a b +--R + +--R 12 2 13 14 +--R 200195702784a b - 54285041664a b + 6502350848a +--R * +--R 19 +--R cos(x) +--R + +--R 6 8 7 7 8 6 +--R - 1651113984a b + 15495069696a b - 62234296320a b +--R + +--R 9 5 10 4 +--R 140471697408a b - 195593502720a b +--R + +--R 11 3 12 2 +--R 172477906944a b - 94240505856a b +--R + +--R 13 14 +--R 29212016640a b - 3937271808a +--R * +--R 17 +--R cos(x) +--R + +--R 7 7 8 6 9 5 +--R - 825556992a b + 6636208128a b - 22480551936a b +--R + +--R 10 4 11 3 +--R 41754132480a b - 46040678400a b +--R + +--R 12 2 13 14 +--R 30196334592a b - 10922754048a b + 1682866176a +--R * +--R 15 +--R cos(x) +--R + +--R 8 6 9 5 10 4 +--R - 282427392a b + 1914531840a b - 5336248320a b +--R + +--R 11 3 12 2 13 +--R 7848222720a b - 6436085760a b + 2794401792a b +--R + +--R 14 +--R - 502394880a +--R * +--R 13 +--R cos(x) +--R + +--R 9 5 10 4 11 3 +--R - 64722944a b + 360954880a b - 796590080a b +--R + +--R 12 2 13 14 +--R 871270400a b - 472975360a b + 102063104a +--R * +--R 11 +--R cos(x) +--R + +--R 10 4 11 3 12 2 +--R - 9518080a b + 42025984a b - 68969472a b +--R + +--R 13 14 +--R 49933312a b - 13471744a +--R * +--R 9 +--R cos(x) +--R + +--R 11 3 12 2 13 +--R - 832832a b + 2734368a b - 2970240a b +--R + +--R 14 +--R 1068704a +--R * +--R 7 +--R cos(x) +--R + +--R 12 2 13 14 5 +--R (- 37856a b + 82264a b - 44408a )cos(x) +--R + +--R 13 14 3 14 +--R (- 676a b + 730a )cos(x) - 2a cos(x) +--R * +--R 2 +--R sin(x)tan(x) +--R + +--R 14 13 2 12 +--R - 134217728b + 1744830464a b - 10468982784a b +--R + +--R 3 11 4 10 +--R 38386270208a b - 95965675520a b +--R + +--R 5 9 6 8 +--R 172738215936a b - 230317621248a b +--R + +--R 7 7 8 6 9 5 +--R 230317621248a b - 172738215936a b + 95965675520a b +--R + +--R 10 4 11 3 +--R - 38386270208a b + 10468982784a b +--R + +--R 12 2 13 +--R - 1744830464a b + 134217728a b +--R * +--R 29 +--R cos(x) +--R + +--R 14 13 2 12 +--R 67108864b - 1778384896a b + 16106127360a b +--R + +--R 3 11 4 10 +--R - 78987132928a b + 247296163840a b +--R + +--R 5 9 6 8 +--R - 534824091648a b + 832686784512a b +--R + +--R 7 7 8 6 +--R - 952274780160a b + 803897081856a b +--R + +--R 9 5 10 4 +--R - 496437821440a b + 218506461184a b +--R + +--R 11 3 12 2 13 +--R - 65028489216a b + 11744051200a b - 973078528a b +--R * +--R 27 +--R cos(x) +--R + +--R 13 2 12 3 11 +--R 436207616a b - 7952400384a b + 58686701568a b +--R + +--R 4 10 5 9 +--R - 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134351945728a b + 268703891456a b +--R + +--R 7 8 8 7 9 6 +--R - 403055837184a b + 460635242496a b - 403055837184a b +--R + +--R 10 5 11 4 12 3 +--R 268703891456a b - 134351945728a b + 48855252992a b +--R + +--R 13 2 14 15 +--R - 12213813248a b + 1879048192a b - 134217728a +--R * +--R 32 +--R cos(x) +--R + +--R 14 2 13 3 12 +--R 268435456a b - 4697620480a b + 36641439744a b +--R + +--R 4 11 5 10 6 9 +--R - 170993385472a b + 537407782912a b - 1209167511552a b +--R + +--R 7 8 8 7 9 6 +--R 2015279185920a b - 2533493833728a b + 2418335023104a b +--R + +--R 10 5 11 4 12 3 +--R - 1746575294464a b + 940463620096a b - 366414397440a b +--R + +--R 13 2 14 15 +--R 97710505984a b - 15971909632a b + 1207959552a +--R * +--R 30 +--R cos(x) +--R + +--R 14 2 13 3 12 +--R - 201326592a b + 4630511616a b - 44811943936a b +--R + +--R 4 11 5 10 6 9 +--R 249846300672a b - 913519411200a b + 2344515272704a b +--R + +--R 7 8 8 7 9 6 +--R - 4389876006912a b + 6125562888192a b - 6426747469824a b +--R + +--R 10 5 11 4 12 3 +--R 5060343889920a b - 2950390874112a b + 1237420343296a b +--R + +--R 13 2 14 15 +--R - 353428832256a b + 61605937152a b - 4949278720a +--R * +--R 28 +--R cos(x) +--R + +--R 14 2 13 3 12 +--R 67108864a b - 2248146944a b + 28554821632a b +--R + +--R 4 11 5 10 6 9 +--R - 197132288000a b + 859630993408a b - 2563021733888a b +--R + +--R 7 8 8 7 9 6 +--R 5467828912128a b - 8563829243904a b + 9965666304000a b +--R + +--R 10 5 11 4 12 3 +--R - 8619563155456a b + 5476318183424a b - 2485947203584a b +--R + +--R 13 2 14 15 +--R 764067971072a b - 142606336000a b + 12213813248a +--R * +--R 26 +--R cos(x) +--R + +--R 2 13 3 12 4 11 +--R 436207616a b - 9424601088a b + 88621449216a b +--R + +--R 5 10 6 9 7 8 +--R - 484067246080a b + 1728016547840a b - 4287883640832a b +--R + +--R 8 7 9 6 10 5 +--R 7653216485376a b - 9994352197632a b + 9584687185920a b +--R + +--R 11 4 12 3 13 2 +--R - 6686627594240a b + 3306386620416a b - 1099537317888a b +--R + +--R 14 15 +--R 220768239616a b - 20240138240a +--R * +--R 24 +--R cos(x) +--R + +--R 3 12 4 11 5 10 +--R 1254096896a b - 21296578560a b + 162391916544a b +--R + +--R 6 9 7 8 8 7 +--R - 733877895168a b + 2190422310912a b - 4556178063360a b +--R + +--R 9 6 10 5 11 4 +--R 6785096220672a b - 7302861029376a b + 5647937568768a b +--R + +--R 12 3 13 2 14 +--R - 3065734234112a b + 1110168305664a b - 241093312512a b +--R + +--R 15 +--R 23770693632a +--R * +--R 22 +--R cos(x) +--R + +--R 4 11 5 10 6 9 +--R 2099249152a b - 29758324736a b + 190596775936a b +--R + +--R 7 8 8 7 9 6 +--R - 725734195200a b + 1822636376064a b - 3168631259136a b +--R + +--R 10 5 11 4 12 3 +--R 3891589545984a b - 3378056134656a b + 2032289710080a b +--R + +--R 13 2 14 15 +--R - 807583350784a b + 190901387264a b - 20349779968a +--R * +--R 20 +--R cos(x) +--R + +--R 5 10 6 9 7 8 +--R 2266234880a b - 27416461312a b + 149339897856a b +--R + +--R 8 7 9 6 10 5 +--R - 480944848896a b + 1012170227712a b - 1452830883840a b +--R + +--R 11 4 12 3 13 2 +--R 1439442665472a b - 971796381696a b + 427825299456a b +--R + +--R 14 15 +--R - 110918500352a b + 12862750720a +--R * +--R 18 +--R cos(x) +--R + +--R 6 9 7 8 8 7 +--R 1651113984a b - 17146183680a b + 79443984384a b +--R + +--R 9 6 10 5 11 4 +--R - 215069503488a b + 374239272960a b - 433500770304a b +--R + +--R 12 3 13 2 14 +--R 333953679360a b - 164877225984a b + 47318704128a b +--R + +--R 15 +--R - 6013071360a +--R * +--R 16 +--R cos(x) +--R + +--R 7 8 8 7 9 6 +--R 825556992a b - 7331414016a b + 28644237312a b +--R + +--R 10 5 11 4 12 3 +--R - 64206622720a b + 90180055040a b - 81170440192a b +--R + +--R 13 2 14 15 +--R 45677756416a b - 14681280512a b + 2062151680a +--R * +--R 14 +--R cos(x) +--R + +--R 8 7 9 6 10 5 +--R 282427392a b - 2120468480a b + 6866515968a b +--R + +--R 11 4 12 3 13 2 +--R - 12419224064a b + 13536147456a b - 8882205696a b +--R + +--R 14 15 +--R 3246104576a b - 509297152a +--R * +--R 12 +--R cos(x) +--R + +--R 9 6 10 5 11 4 +--R 64722944a b - 402834432a b + 1051235328a b +--R + +--R 12 3 13 2 14 15 +--R - 1471708160a b + 1165212672a b - 494407680a b + 87779328a +--R * +--R 10 +--R cos(x) +--R + +--R 10 5 11 4 12 3 13 2 +--R 9518080a b - 47617856a b + 95762368a b - 96786248a b +--R + +--R 14 15 +--R 49166416a b - 10042760a +--R * +--R 8 +--R cos(x) +--R + +--R 11 4 12 3 13 2 14 +--R 832832a b - 3188640a b + 4582032a b - 2929864a b +--R + +--R 15 +--R 703640a +--R * +--R 6 +--R cos(x) +--R + +--R 12 3 13 2 14 15 4 +--R (37856a b - 101868a b + 90276a b - 26265a )cos(x) +--R + +--R 13 2 14 15 2 14 15 +--R (676a b - 1070a b + 394a )cos(x) + 2a b - a +--R * +--R 2 +--R tan(x) +--R + +--R 15 14 2 13 +--R 134217728b - 1879048192a b + 12213813248a b +--R + +--R 3 12 4 11 5 10 +--R - 48855252992a b + 134351945728a b - 268703891456a b +--R + +--R 6 9 7 8 8 7 +--R 403055837184a b - 460635242496a b + 403055837184a b +--R + +--R 9 6 10 5 11 4 +--R - 268703891456a b + 134351945728a b - 48855252992a b +--R + +--R 12 3 13 2 14 +--R 12213813248a b - 1879048192a b + 134217728a b +--R * +--R 32 +--R cos(x) +--R + +--R 15 14 2 13 +--R - 268435456b + 4697620480a b - 36641439744a b +--R + +--R 3 12 4 11 5 10 +--R 170993385472a b - 537407782912a b + 1209167511552a b +--R + +--R 6 9 7 8 8 7 +--R - 2015279185920a b + 2533493833728a b - 2418335023104a b +--R + +--R 9 6 10 5 11 4 +--R 1746575294464a b - 940463620096a b + 366414397440a b +--R + +--R 12 3 13 2 14 +--R - 97710505984a b + 15971909632a b - 1207959552a b +--R * +--R 30 +--R cos(x) +--R + +--R 15 14 2 13 +--R 201326592b - 4630511616a b + 44811943936a b +--R + +--R 3 12 4 11 5 10 +--R - 249846300672a b + 913519411200a b - 2344515272704a b +--R + +--R 6 9 7 8 8 7 +--R 4389876006912a b - 6125562888192a b + 6426747469824a b +--R + +--R 9 6 10 5 11 4 +--R - 5060343889920a b + 2950390874112a b - 1237420343296a b +--R + +--R 12 3 13 2 14 +--R 353428832256a b - 61605937152a b + 4949278720a b +--R * +--R 28 +--R cos(x) +--R + +--R 15 14 2 13 +--R - 67108864b + 2248146944a b - 28554821632a b +--R + +--R 3 12 4 11 5 10 +--R 197132288000a b - 859630993408a b + 2563021733888a b +--R + +--R 6 9 7 8 8 7 +--R - 5467828912128a b + 8563829243904a b - 9965666304000a b +--R + +--R 9 6 10 5 11 4 +--R 8619563155456a b - 5476318183424a b + 2485947203584a b +--R + +--R 12 3 13 2 14 +--R - 764067971072a b + 142606336000a b - 12213813248a b +--R * +--R 26 +--R cos(x) +--R + +--R 14 2 13 3 12 +--R - 436207616a b + 9424601088a b - 88621449216a b +--R + +--R 4 11 5 10 6 9 +--R 484067246080a b - 1728016547840a b + 4287883640832a b +--R + +--R 7 8 8 7 9 6 +--R - 7653216485376a b + 9994352197632a b - 9584687185920a b +--R + +--R 10 5 11 4 12 3 +--R 6686627594240a b - 3306386620416a b + 1099537317888a b +--R + +--R 13 2 14 +--R - 220768239616a b + 20240138240a b +--R * +--R 24 +--R cos(x) +--R + +--R 2 13 3 12 4 11 +--R - 1254096896a b + 21296578560a b - 162391916544a b +--R + +--R 5 10 6 9 7 8 +--R 733877895168a b - 2190422310912a b + 4556178063360a b +--R + +--R 8 7 9 6 10 5 +--R - 6785096220672a b + 7302861029376a b - 5647937568768a b +--R + +--R 11 4 12 3 13 2 +--R 3065734234112a b - 1110168305664a b + 241093312512a b +--R + +--R 14 +--R - 23770693632a b +--R * +--R 22 +--R cos(x) +--R + +--R 3 12 4 11 5 10 +--R - 2099249152a b + 29758324736a b - 190596775936a b +--R + +--R 6 9 7 8 8 7 +--R 725734195200a b - 1822636376064a b + 3168631259136a b +--R + +--R 9 6 10 5 11 4 +--R - 3891589545984a b + 3378056134656a b - 2032289710080a b +--R + +--R 12 3 13 2 14 +--R 807583350784a b - 190901387264a b + 20349779968a b +--R * +--R 20 +--R cos(x) +--R + +--R 4 11 5 10 6 9 +--R - 2266234880a b + 27416461312a b - 149339897856a b +--R + +--R 7 8 8 7 9 6 +--R 480944848896a b - 1012170227712a b + 1452830883840a b +--R + +--R 10 5 11 4 12 3 +--R - 1439442665472a b + 971796381696a b - 427825299456a b +--R + +--R 13 2 14 +--R 110918500352a b - 12862750720a b +--R * +--R 18 +--R cos(x) +--R + +--R 5 10 6 9 7 8 +--R - 1651113984a b + 17146183680a b - 79443984384a b +--R + +--R 8 7 9 6 10 5 +--R 215069503488a b - 374239272960a b + 433500770304a b +--R + +--R 11 4 12 3 13 2 +--R - 333953679360a b + 164877225984a b - 47318704128a b +--R + +--R 14 +--R 6013071360a b +--R * +--R 16 +--R cos(x) +--R + +--R 6 9 7 8 8 7 +--R - 825556992a b + 7331414016a b - 28644237312a b +--R + +--R 9 6 10 5 11 4 +--R 64206622720a b - 90180055040a b + 81170440192a b +--R + +--R 12 3 13 2 14 +--R - 45677756416a b + 14681280512a b - 2062151680a b +--R * +--R 14 +--R cos(x) +--R + +--R 7 8 8 7 9 6 +--R - 282427392a b + 2120468480a b - 6866515968a b +--R + +--R 10 5 11 4 12 3 +--R 12419224064a b - 13536147456a b + 8882205696a b +--R + +--R 13 2 14 +--R - 3246104576a b + 509297152a b +--R * +--R 12 +--R cos(x) +--R + +--R 8 7 9 6 10 5 11 4 +--R - 64722944a b + 402834432a b - 1051235328a b + 1471708160a b +--R + +--R 12 3 13 2 14 +--R - 1165212672a b + 494407680a b - 87779328a b +--R * +--R 10 +--R cos(x) +--R + +--R 9 6 10 5 11 4 12 3 +--R - 9518080a b + 47617856a b - 95762368a b + 96786248a b +--R + +--R 13 2 14 +--R - 49166416a b + 10042760a b +--R * +--R 8 +--R cos(x) +--R + +--R 10 5 11 4 12 3 13 2 +--R - 832832a b + 3188640a b - 4582032a b + 2929864a b +--R + +--R 14 +--R - 703640a b +--R * +--R 6 +--R cos(x) +--R + +--R 11 4 12 3 13 2 14 4 +--R (- 37856a b + 101868a b - 90276a b + 26265a b)cos(x) +--R + +--R 12 3 13 2 14 2 13 2 14 +--R (- 676a b + 1070a b - 394a b)cos(x) - 2a b + a b +--R * +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R Type: Expression Integer +--E 324 + +--S 325 of 510 +m0263b:= a0263.2-r0263 +--R +--R +--R (299) +--R (- b + a) +--R * +--R log +--R +------------------+ +--R | 2 +--R 4 2 +-----+ |(b - a)cos(x) + a +--R ((- 8b + 8a)cos(x) - 4a cos(x) )\|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (8a b - 8a )cos(x) + a +--R + +--R +-------------+ +--R | 2 +--R +-----+ +-+ tan(x)\|b cot(x) + a +--R 4\|b - a \|b atanh(----------------------) +--R +-+ +--R \|b +--R + +--R +---+ +-----+ +--R 4\|- b \|b - a +--R * +--R +------------------+ +--R | 2 +--R 2 +---+ |(b - a)cos(x) + a 2 +---+ +-----+ +--R cos(x) \|- b |------------------ + (- cos(x) + 1)\|- b \|b - a +--R | 2 +--R \| cos(x) +--R atan(------------------------------------------------------------------) +--R b +--R + +--R +-------+ +--R +-------+ +-----+ cot(x)\|- b + a +--R 4\|- b + a \|b - a atan(----------------) +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R / +--R +-----+ +--R 4\|b - a +--R Type: Expression Integer +--E 325 + +--S 326 of 510 +d0263b:= D(m0263b,x) +--R +--R +--R (300) +--R 3 2 2 5 2 2 3 +--R (8b - 16a b + 8a b)cos(x) + (8a b - 8a b)cos(x) +--R + +--R 2 +--R a b cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 2 2 3 5 2 3 3 3 +--R (8a b - 16a b + 8a )cos(x) + (8a b - 8a )cos(x) + a cos(x) +--R * +--R 2 +--R sin(x)tan(x) +--R + +--R 3 2 2 5 2 2 3 +--R (- 8b + 16a b - 8a b)cos(x) + (- 8a b + 8a b)cos(x) +--R + +--R 2 +--R - a b cos(x) +--R * +--R sin(x) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 5 +--R (- 8b + 16a b - 8a b)cos(x) +--R + +--R 2 2 3 2 +--R (- 12a b + 12a b)cos(x) - 4a b cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 2 2 3 5 2 3 3 +--R (- 8a b + 16a b - 8a )cos(x) + (- 12a b + 12a )cos(x) +--R + +--R 3 +--R - 4a cos(x) +--R * +--R 2 +--R sin(x)tan(x) +--R + +--R 3 2 2 5 2 2 3 +--R (8b - 16a b + 8a b)cos(x) + (12a b - 12a b)cos(x) +--R + +--R 2 +--R 4a b cos(x) +--R * +--R sin(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R + +--R 2 2 6 2 2 4 +--R (- 8a b + 8a b)cos(x) + (8a b - 12a b)cos(x) +--R + +--R 2 2 +--R 4a b cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 2 3 6 2 3 4 3 2 +--R (- 8a b + 8a )cos(x) + (8a b - 12a )cos(x) + 4a cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 3 2 6 3 2 4 2 2 +--R ((8b - 8a b )cos(x) + (- 8b + 12a b )cos(x) - 4a b cos(x) ) +--R * +--R 3 +--R cot(x) +--R + +--R 3 2 6 3 2 4 2 2 +--R ((8b - 8a b )cos(x) + (- 8b + 12a b )cos(x) - 4a b cos(x) ) +--R * +--R cot(x) +--R * +--R tan(x) +--R + +--R 3 2 6 3 2 4 2 2 +--R ((- 8b + 8a b )cos(x) + (8b - 12a b )cos(x) + 4a b cos(x) ) +--R * +--R 2 +--R cot(x) +--R + +--R 3 2 6 3 2 4 2 2 +--R (- 8b + 8a b )cos(x) + (8b - 12a b )cos(x) + 4a b cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ |(b - a)cos(x) + a +--R \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (8a b - 16a b + 8a b)cos(x) +--R + +--R 3 2 2 3 4 2 2 3 2 3 +--R (- 8a b + 24a b - 16a b)cos(x) + (- 8a b + 9a b)cos(x) - a b +--R * +--R 2 +--R cot(x) +--R + +--R 2 2 3 4 6 2 2 3 4 4 +--R (8a b - 16a b + 8a )cos(x) + (- 8a b + 24a b - 16a )cos(x) +--R + +--R 3 4 2 4 +--R (- 8a b + 9a )cos(x) - a +--R * +--R 2 +--R tan(x) +--R + +--R 4 3 2 2 6 4 3 2 2 4 +--R (- 8b + 16a b - 8a b )cos(x) + (8b - 24a b + 16a b )cos(x) +--R + +--R 3 2 2 2 2 2 +--R (8a b - 9a b )cos(x) + a b +--R * +--R 3 +--R cot(x) +--R + +--R 4 3 2 2 6 4 3 2 2 4 +--R (- 8b + 16a b - 8a b )cos(x) + (8b - 24a b + 16a b )cos(x) +--R + +--R 3 2 2 2 2 2 +--R (8a b - 9a b )cos(x) + a b +--R * +--R cot(x) +--R * +--R tan(x) +--R + +--R 4 3 2 2 6 4 3 2 2 4 +--R (8b - 16a b + 8a b )cos(x) + (- 8b + 24a b - 16a b )cos(x) +--R + +--R 3 2 2 2 2 2 +--R (- 8a b + 9a b )cos(x) - a b +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 2 6 4 3 2 2 4 +--R (8b - 16a b + 8a b )cos(x) + (- 8b + 24a b - 16a b )cos(x) +--R + +--R 3 2 2 2 2 2 +--R (- 8a b + 9a b )cos(x) - a b +--R / +--R 2 6 2 4 2 +--R ((8b - 8a b)cos(x) + (- 8b + 12a b)cos(x) - 4a b cos(x) ) +--R * +--R 2 +--R cot(x) +--R + +--R 2 6 2 4 2 2 +--R (8a b - 8a )cos(x) + (- 8a b + 12a )cos(x) - 4a cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 2 6 2 4 2 +--R (- 8b + 8a b)cos(x) + (8b - 12a b)cos(x) + 4a b cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ |(b - a)cos(x) + a +--R \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 6 3 2 2 4 +--R (- 8b + 16a b - 8a b)cos(x) + (8b - 24a b + 16a b)cos(x) +--R + +--R 2 2 2 2 +--R (8a b - 9a b)cos(x) + a b +--R * +--R 2 +--R cot(x) +--R + +--R 2 2 3 6 2 2 3 4 +--R (- 8a b + 16a b - 8a )cos(x) + (8a b - 24a b + 16a )cos(x) +--R + +--R 2 3 2 3 +--R (8a b - 9a )cos(x) + a +--R * +--R 2 +--R tan(x) +--R + +--R 3 2 2 6 3 2 2 4 +--R (8b - 16a b + 8a b)cos(x) + (- 8b + 24a b - 16a b)cos(x) +--R + +--R 2 2 2 2 +--R (- 8a b + 9a b)cos(x) - a b +--R * +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R Type: Expression Integer +--E 326 + +--S 327 of 510 +t0264:= 1/(a+b*cot(x)^2)^(1/2) +--R +--R +--R 1 +--R (301) ---------------- +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R Type: Expression Integer +--E 327 + +--S 328 of 510 +r0264:= -atan((a-b)^(1/2)*cot(x)/(a+b*cot(x)^2)^(1/2))/(a-b)^(1/2) +--R +--R +--R +-------+ +--R cot(x)\|- b + a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R (302) - ---------------------- +--R +-------+ +--R \|- b + a +--R Type: Expression Integer +--E 328 + +--S 329 of 510 +a0264:= integrate(t0264,x) +--R +--R +--R (303) +--R log +--R +------------------+ +--R | 2 +--R 4 2 +-----+ |(b - a)cos(x) + a +--R ((- 8b + 8a)cos(x) - 4a cos(x) )\|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (8a b - 8a )cos(x) + a +--R / +--R +-----+ +--R 4\|b - a +--R Type: Union(Expression Integer,...) +--E 329 + +--S 330 of 510 +m0264:= a0264-r0264 +--R +--R +--R (304) +--R +-------+ +--R \|- b + a +--R * +--R log +--R +------------------+ +--R | 2 +--R 4 2 +-----+ |(b - a)cos(x) + a +--R ((- 8b + 8a)cos(x) - 4a cos(x) )\|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 +--R (8b - 16a b + 8a )cos(x) + (8a b - 8a )cos(x) + a +--R + +--R +-------+ +--R +-----+ cot(x)\|- b + a +--R 4\|b - a atan(----------------) +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R / +--R +-------+ +-----+ +--R 4\|- b + a \|b - a +--R Type: Expression Integer +--E 330 + +--S 331 of 510 +d0264:= D(m0264,x) +--R +--R +--R (305) +--R +------------------+ +--R | 2 +--R 4 2 +-----+ |(b - a)cos(x) + a +--R ((- 8b + 8a)cos(x) - 4a cos(x) )sin(x)\|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 4 2 2 2 +--R ((8b - 16a b + 8a )cos(x) + (8a b - 8a )cos(x) + a )sin(x) +--R * +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R + +--R 2 2 5 2 3 2 +--R ((- 8b + 16a b - 8a )cos(x) + (- 8a b + 8a )cos(x) - a cos(x)) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 5 2 3 2 +-----+ +--R ((8b - 16a b + 8a )cos(x) + (12a b - 12a )cos(x) + 4a cos(x))\|b - a +--R / +--R 2 2 5 2 3 2 +--R ((8b - 16a b + 8a )cos(x) + (8a b - 8a )cos(x) + a cos(x)) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 5 2 3 2 +--R ((- 8b + 16a b - 8a )cos(x) + (- 12a b + 12a )cos(x) - 4a cos(x)) +--R * +--R +-----+ +--R \|b - a +--R * +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R Type: Expression Integer +--E 331 + +--S 332 of 510 +t0265:= (-1-cot(x)^2)^(3/2) +--R +--R +--R +-------------+ +--R 2 | 2 +--R (306) (- cot(x) - 1)\|- cot(x) - 1 +--R Type: Expression Integer +--E 332 + +--S 333 of 510 +r0265:= 1/2*(-csc(x)^2)^(1/2)*(atanh(cos(x))+cot(x)*csc(x))*sin(x) +--R +--R +--R +---------+ +--R | 2 +--R (sin(x)atanh(cos(x)) + cot(x)csc(x)sin(x))\|- csc(x) +--R (307) ------------------------------------------------------ +--R 2 +--R Type: Expression Integer +--E 333 + +--S 334 of 510 +a0265:= integrate(t0265,x) +--R +--R +--R (308) +--R +---+ 4 +---+ 2 +---+ +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R (- \|- 1 (%e ) + 2\|- 1 (%e ) - \|- 1 )log(%e + 1) +--R + +--R +---+ 4 +---+ 2 +---+ +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R (\|- 1 (%e ) - 2\|- 1 (%e ) + \|- 1 )log(%e - 1) +--R + +--R +---+ 3 +---+ +--R +---+ x\|- 1 +---+ x\|- 1 +--R 2\|- 1 (%e ) + 2\|- 1 %e +--R / +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) - 4(%e ) + 2 +--R Type: Union(Expression Integer,...) +--E 334 + +--S 335 of 510 +m0265:= a0265-r0265 +--R +--R +--R (309) +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R (- (%e ) + 2(%e ) - 1)sin(x)atanh(cos(x)) +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R - cot(x)csc(x)(%e ) + 2cot(x)csc(x)(%e ) +--R + +--R - cot(x)csc(x) +--R * +--R sin(x) +--R * +--R +---------+ +--R | 2 +--R \|- csc(x) +--R + +--R +---+ 4 +---+ 2 +---+ +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R (- \|- 1 (%e ) + 2\|- 1 (%e ) - \|- 1 )log(%e + 1) +--R + +--R +---+ 4 +---+ 2 +---+ +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R (\|- 1 (%e ) - 2\|- 1 (%e ) + \|- 1 )log(%e - 1) +--R + +--R +---+ 3 +---+ +--R +---+ x\|- 1 +---+ x\|- 1 +--R 2\|- 1 (%e ) + 2\|- 1 %e +--R / +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) - 4(%e ) + 2 +--R Type: Expression Integer +--E 335 + +--S 336 of 510 +d0265:= D(m0265,x) +--R +--R +--R (310) +--R +---+ 3 +---------+ +--R 2 x\|- 1 | 2 +--R (16cos(x) - 16)(%e ) \|- csc(x) +--R + +--R +---+ 6 +--R 2 2 x\|- 1 +--R (- cos(x) + 1)cot(x)csc(x) (%e ) +--R + +--R +---+ 4 +--R 2 2 x\|- 1 +--R (3cos(x) - 3)cot(x)csc(x) (%e ) +--R + +--R +---+ 2 +--R 2 2 x\|- 1 +--R (- 3cos(x) + 3)cot(x)csc(x) (%e ) +--R + +--R 2 2 +--R (cos(x) - 1)cot(x)csc(x) +--R * +--R sin(x) +--R + +--R +---+ 6 +--R 3 2 x\|- 1 +--R (cos(x) - cos(x))csc(x) (%e ) +--R + +--R +---+ 4 +--R 3 2 x\|- 1 +--R (- 3cos(x) + 3cos(x))csc(x) (%e ) +--R + +--R +---+ 2 +--R 3 2 x\|- 1 3 2 +--R (3cos(x) - 3cos(x))csc(x) (%e ) + (- cos(x) + cos(x))csc(x) +--R * +--R atanh(cos(x)) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 2 x\|- 1 +--R csc(x) (%e ) - 3csc(x) (%e ) + 3csc(x) (%e ) +--R + +--R 2 +--R - csc(x) +--R * +--R 2 +--R sin(x) +--R + +--R +---+ 6 +--R 2 2 2 3 x\|- 1 +--R ((- 3cos(x) + 3)cot(x) - cos(x) + 1)csc(x) (%e ) +--R + +--R +---+ 4 +--R 2 2 2 3 x\|- 1 +--R ((9cos(x) - 9)cot(x) + 3cos(x) - 3)csc(x) (%e ) +--R + +--R +---+ 2 +--R 2 2 2 3 x\|- 1 +--R ((- 9cos(x) + 9)cot(x) - 3cos(x) + 3)csc(x) (%e ) +--R + +--R 2 2 2 3 +--R ((3cos(x) - 3)cot(x) + cos(x) - 1)csc(x) +--R * +--R sin(x) +--R + +--R +---+ 6 +--R 3 3 x\|- 1 +--R (cos(x) - cos(x))cot(x)csc(x) (%e ) +--R + +--R +---+ 4 +--R 3 3 x\|- 1 +--R (- 3cos(x) + 3cos(x))cot(x)csc(x) (%e ) +--R + +--R +---+ 2 +--R 3 3 x\|- 1 +--R (3cos(x) - 3cos(x))cot(x)csc(x) (%e ) +--R + +--R 3 3 +--R (- cos(x) + cos(x))cot(x)csc(x) +--R / +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R (2cos(x) - 2)(%e ) + (- 6cos(x) + 6)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (6cos(x) - 6)(%e ) - 2cos(x) + 2 +--R * +--R +---------+ +--R | 2 +--R \|- csc(x) +--R Type: Expression Integer +--E 336 + +--S 337 of 510 +t0266:= (a+b*cot(x)^2)^(3/2) +--R +--R +--R +-------------+ +--R 2 | 2 +--R (311) (b cot(x) + a)\|b cot(x) + a +--R Type: Expression Integer +--E 337 + +--S 338 of 510 +r0266:= -(a-b)^(3/2)*atan((a-b)^(1/2)*cot(x)/(a+b*cot(x)^2)^(1/2))-3/2*a*b^(1/2)*atanh((a+b*cot(x)^2)^(1/2)*tan(x)/b^(1/2))+b^(3/2)*atanh((a+b*cot(x)^2)^(1/2)*tan(x)/b^(1/2))-1/2*b*cot(x)*(a+b*cot(x)^2)^(1/2) +--R +--R +--R (312) +--R +-------------+ +--R | 2 +--R +-+ tan(x)\|b cot(x) + a +--R (2b - 3a)\|b atanh(----------------------) +--R +-+ +--R \|b +--R + +--R +-------+ +-------------+ +--R +-------+ cot(x)\|- b + a | 2 +--R (2b - 2a)\|- b + a atan(----------------) - b cot(x)\|b cot(x) + a +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R / +--R 2 +--R Type: Expression Integer +--E 338 + +--S 339 of 510 +a0266:= integrate(t0266,x) +--R +--R +--R (313) +--R [ +--R 2 2 6 2 2 4 +--R (16b - 40a b + 24a )cos(x) + (- 16b + 48a b - 36a )cos(x) +--R + +--R 2 2 +--R (- 8a b + 12a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ +-+ |(b - a)cos(x) + a +--R \|b - a \|b |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (- 16b + 56a b - 64a b + 24a )cos(x) +--R + +--R 3 2 2 3 4 +--R (16b - 72a b + 104a b - 48a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (16a b - 42a b + 27a )cos(x) + 2a b - 3a +--R * +--R +-+ +--R \|b +--R * +--R log +--R 3 2 2 3 8 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (- 64b + 352a b - 512a b + 224a )cos(x) +--R + +--R 2 2 3 4 +--R (- 64a b + 176a b - 112a )cos(x) +--R + +--R 2 3 2 +--R (- 12a b + 14a )cos(x) +--R * +--R +-+ +--R \|b +--R + +--R 3 2 2 3 10 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 8 +--R (128b - 576a b + 768a b - 320a )cos(x) +--R + +--R 3 2 2 3 6 +--R (- 64b + 320a b - 528a b + 272a )cos(x) +--R + +--R 2 2 3 4 +--R (- 64a b + 144a b - 88a )cos(x) +--R + +--R 2 3 2 +--R (- 12a b + 8a )cos(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 8 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (64b - 416a b + 640a b - 288a )cos(x) +--R + +--R 2 2 3 4 2 3 2 +--R (96a b - 304a b + 208a )cos(x) + (36a b - 50a )cos(x) +--R + +--R 3 +--R 2a +--R * +--R +-----+ +-+ +--R \|b - a \|b +--R + +--R 4 3 2 2 3 4 10 +--R (128b - 512a b + 768a b - 512a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (- 128b + 768a b - 1536a b + 1280a b - 384a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (64b - 448a b + 1120a b - 1152a b + 416a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (96a b - 352a b + 448a b - 192a )cos(x) +--R + +--R 2 2 3 4 2 3 4 +--R (36a b - 68a b + 33a )cos(x) + 2a b - a +--R / +--R 3 2 2 3 10 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 8 +--R (- 128b + 576a b - 768a b + 320a )cos(x) +--R + +--R 2 2 3 6 +--R (- 192a b + 464a b - 272a )cos(x) +--R + +--R 2 3 4 3 2 +--R (- 80a b + 88a )cos(x) - 8a cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ |(b - a)cos(x) + a +--R \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 4 3 2 2 3 4 10 +--R (- 128b + 512a b - 768a b + 512a b - 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (128b - 768a b + 1536a b - 1280a b + 384a )cos(x) +--R + +--R 3 2 2 3 4 6 +--R (256a b - 928a b + 1088a b - 416a )cos(x) +--R + +--R 2 2 3 4 4 3 4 2 4 +--R (160a b - 352a b + 192a )cos(x) + (32a b - 33a )cos(x) + a +--R + +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 8b + 28a b - 32a b + 12a )cos(x) +--R + +--R 2 2 3 2 +--R (- 4a b + 8a b - 4a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (8b - 32a b + 40a b - 16a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (8a b - 17a b + 9a )cos(x) + a b - a +--R * +--R +-----+ +--R \|b - a +--R * +--R log +--R 2 4 2 +-----+ +--R ((- 128b + 128a b)cos(x) - 64a b cos(x) )\|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 4 2 2 2 +--R (128b - 256a b + 128a b)cos(x) + (128a b - 128a b)cos(x) +--R + +--R 2 +--R 16a b +--R / +--R b - a +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (8b - 28a b + 32a b - 12a )cos(x) +--R + +--R 2 2 3 2 +--R (4a b - 8a b + 4a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 4 2 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (- 8a b + 6a b)cos(x) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 8b + 32a b - 40a b + 16a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (- 8a b + 17a b - 9a )cos(x) - a b + a +--R * +--R log(4b) +--R + +--R 3 2 2 4 2 2 2 2 +--R (16b - 24a b + 8a b)cos(x) + (16a b - 10a b)cos(x) + 2a b +--R * +--R +-----+ +--R \|b - a +--R / +--R 6 4 2 +-----+ +--R ((32b - 32a)cos(x) + (- 32b + 48a)cos(x) - 16a cos(x) )\|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 6 2 2 4 +--R (- 32b + 64a b - 32a )cos(x) + (32b - 96a b + 64a )cos(x) +--R + +--R 2 2 2 +--R (32a b - 36a )cos(x) + 4a +--R , +--R +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 8b + 28a b - 32a b + 12a )cos(x) +--R + +--R 2 2 3 2 +--R (- 4a b + 8a b - 4a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (8b - 32a b + 40a b - 16a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (8a b - 17a b + 9a )cos(x) + a b - a +--R * +--R +-----+ +--R \|b - a +--R * +--R log +--R 2 4 2 +-----+ +--R ((- 128b + 128a b)cos(x) - 64a b cos(x) )\|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 4 2 2 2 +--R (128b - 256a b + 128a b)cos(x) + (128a b - 128a b)cos(x) +--R + +--R 2 +--R 16a b +--R / +--R b - a +--R + +--R 2 2 6 2 2 4 +--R (- 32b + 80a b - 48a )cos(x) + (32b - 96a b + 72a )cos(x) +--R + +--R 2 2 +--R (16a b - 24a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R +---+ +-----+ |(b - a)cos(x) + a +--R \|- b \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 112a b + 128a b - 48a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 32b + 144a b - 208a b + 96a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (- 32a b + 84a b - 54a )cos(x) - 4a b + 6a +--R * +--R +---+ +--R \|- b +--R * +--R atan +--R +------------------+ +--R | 2 +--R 2 +---+ |(b - a)cos(x) + a 2 +---+ +-----+ +--R cos(x) \|- b |------------------ + (- cos(x) + 1)\|- b \|b - a +--R | 2 +--R \| cos(x) +--R ------------------------------------------------------------------ +--R b +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (8b - 28a b + 32a b - 12a )cos(x) +--R + +--R 2 2 3 2 +--R (4a b - 8a b + 4a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 4 2 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (- 8a b + 6a b)cos(x) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 8b + 32a b - 40a b + 16a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (- 8a b + 17a b - 9a )cos(x) - a b + a +--R * +--R log(4b) +--R + +--R 3 2 2 4 2 2 2 2 +--R (16b - 24a b + 8a b)cos(x) + (16a b - 10a b)cos(x) + 2a b +--R * +--R +-----+ +--R \|b - a +--R / +--R 6 4 2 +-----+ +--R ((32b - 32a)cos(x) + (- 32b + 48a)cos(x) - 16a cos(x) )\|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 6 2 2 4 +--R (- 32b + 64a b - 32a )cos(x) + (32b - 96a b + 64a )cos(x) +--R + +--R 2 2 2 +--R (32a b - 36a )cos(x) + 4a +--R ] +--R Type: Union(List Expression Integer,...) +--E 339 + +--S 340 of 510 +m0266a:= a0266.1-r0266 +--R +--R +--R (314) +--R 2 2 6 2 2 4 +--R (16b - 40a b + 24a )cos(x) + (- 16b + 48a b - 36a )cos(x) +--R + +--R 2 2 +--R (- 8a b + 12a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ +-+ |(b - a)cos(x) + a +--R \|b - a \|b |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (- 16b + 56a b - 64a b + 24a )cos(x) +--R + +--R 3 2 2 3 4 +--R (16b - 72a b + 104a b - 48a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (16a b - 42a b + 27a )cos(x) + 2a b - 3a +--R * +--R +-+ +--R \|b +--R * +--R log +--R 3 2 2 3 8 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (- 64b + 352a b - 512a b + 224a )cos(x) +--R + +--R 2 2 3 4 +--R (- 64a b + 176a b - 112a )cos(x) +--R + +--R 2 3 2 +--R (- 12a b + 14a )cos(x) +--R * +--R +-+ +--R \|b +--R + +--R 3 2 2 3 10 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 8 +--R (128b - 576a b + 768a b - 320a )cos(x) +--R + +--R 3 2 2 3 6 +--R (- 64b + 320a b - 528a b + 272a )cos(x) +--R + +--R 2 2 3 4 2 3 2 +--R (- 64a b + 144a b - 88a )cos(x) + (- 12a b + 8a )cos(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 8 +--R (- 128b + 384a b - 384a b + 128a )cos(x) +--R + +--R 3 2 2 3 6 +--R (64b - 416a b + 640a b - 288a )cos(x) +--R + +--R 2 2 3 4 2 3 2 3 +--R (96a b - 304a b + 208a )cos(x) + (36a b - 50a )cos(x) + 2a +--R * +--R +-----+ +-+ +--R \|b - a \|b +--R + +--R 4 3 2 2 3 4 10 +--R (128b - 512a b + 768a b - 512a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (- 128b + 768a b - 1536a b + 1280a b - 384a )cos(x) +--R + +--R 4 3 2 2 3 4 6 +--R (64b - 448a b + 1120a b - 1152a b + 416a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (96a b - 352a b + 448a b - 192a )cos(x) +--R + +--R 2 2 3 4 2 3 4 +--R (36a b - 68a b + 33a )cos(x) + 2a b - a +--R / +--R 3 2 2 3 10 +--R (128b - 384a b + 384a b - 128a )cos(x) +--R + +--R 3 2 2 3 8 +--R (- 128b + 576a b - 768a b + 320a )cos(x) +--R + +--R 2 2 3 6 +--R (- 192a b + 464a b - 272a )cos(x) +--R + +--R 2 3 4 3 2 +--R (- 80a b + 88a )cos(x) - 8a cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ |(b - a)cos(x) + a +--R \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 4 3 2 2 3 4 10 +--R (- 128b + 512a b - 768a b + 512a b - 128a )cos(x) +--R + +--R 4 3 2 2 3 4 8 +--R (128b - 768a b + 1536a b - 1280a b + 384a )cos(x) +--R + +--R 3 2 2 3 4 6 +--R (256a b - 928a b + 1088a b - 416a )cos(x) +--R + +--R 2 2 3 4 4 3 4 2 4 +--R (160a b - 352a b + 192a )cos(x) + (32a b - 33a )cos(x) + a +--R + +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 8b + 28a b - 32a b + 12a )cos(x) +--R + +--R 2 2 3 2 +--R (- 4a b + 8a b - 4a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (8b - 32a b + 40a b - 16a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (8a b - 17a b + 9a )cos(x) + a b - a +--R * +--R +-----+ +--R \|b - a +--R * +--R log +--R 2 4 2 +-----+ +--R ((- 128b + 128a b)cos(x) - 64a b cos(x) )\|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 4 2 2 2 +--R (128b - 256a b + 128a b)cos(x) + (128a b - 128a b)cos(x) +--R + +--R 2 +--R 16a b +--R / +--R b - a +--R + +--R 2 2 6 2 2 4 +--R (- 32b + 80a b - 48a )cos(x) + (32b - 96a b + 72a )cos(x) +--R + +--R 2 2 +--R (16a b - 24a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ +-+ |(b - a)cos(x) + a +--R \|b - a \|b |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 112a b + 128a b - 48a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 32b + 144a b - 208a b + 96a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (- 32a b + 84a b - 54a )cos(x) - 4a b + 6a +--R * +--R +-+ +--R \|b +--R * +--R +-------------+ +--R | 2 +--R tan(x)\|b cot(x) + a +--R atanh(----------------------) +--R +-+ +--R \|b +--R + +--R 2 2 6 2 2 4 +--R (- 32b + 64a b - 32a )cos(x) + (32b - 80a b + 48a )cos(x) +--R + +--R 2 2 +--R (16a b - 16a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-------+ +-----+ |(b - a)cos(x) + a +--R \|- b + a \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 96a b + 96a b - 32a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 32b + 128a b - 160a b + 64a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (- 32a b + 68a b - 36a )cos(x) - 4a b + 4a +--R * +--R +-------+ +--R \|- b + a +--R * +--R +-------+ +--R cot(x)\|- b + a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R + +--R 2 6 2 4 2 +--R ((16b - 16a b)cos(x) + (- 16b + 24a b)cos(x) - 8a b cos(x) ) +--R * +--R +------------------+ +--R | 2 +--R +-----+ |(b - a)cos(x) + a +--R cot(x)\|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 6 3 2 2 4 +--R (- 16b + 32a b - 16a b)cos(x) + (16b - 48a b + 32a b)cos(x) +--R + +--R 2 2 2 2 +--R (16a b - 18a b)cos(x) + 2a b +--R * +--R cot(x) +--R * +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 2 2 3 2 +--R (8b - 28a b + 32a b - 12a )cos(x) + (4a b - 8a b + 4a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 4 2 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (- 8a b + 6a b)cos(x) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 8b + 32a b - 40a b + 16a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (- 8a b + 17a b - 9a )cos(x) - a b + a +--R * +--R log(4b) +--R + +--R 3 2 2 4 2 2 2 2 +--R (16b - 24a b + 8a b)cos(x) + (16a b - 10a b)cos(x) + 2a b +--R * +--R +-----+ +--R \|b - a +--R / +--R 6 4 2 +-----+ +--R ((32b - 32a)cos(x) + (- 32b + 48a)cos(x) - 16a cos(x) )\|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 6 2 2 4 +--R (- 32b + 64a b - 32a )cos(x) + (32b - 96a b + 64a )cos(x) +--R + +--R 2 2 2 +--R (32a b - 36a )cos(x) + 4a +--R Type: Expression Integer +--E 340 + +--S 341 of 510 +--d0266a:= D(m0266a,x) +--E 341 + +--S 342 of 510 +m0266b:= a0266.2-r0266 +--R +--R +--R (315) +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 8b + 28a b - 32a b + 12a )cos(x) +--R + +--R 2 2 3 2 +--R (- 4a b + 8a b - 4a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (8b - 32a b + 40a b - 16a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (8a b - 17a b + 9a )cos(x) + a b - a +--R * +--R +-----+ +--R \|b - a +--R * +--R log +--R 2 4 2 +-----+ +--R ((- 128b + 128a b)cos(x) - 64a b cos(x) )\|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 4 2 2 2 +--R (128b - 256a b + 128a b)cos(x) + (128a b - 128a b)cos(x) +--R + +--R 2 +--R 16a b +--R / +--R b - a +--R + +--R 2 2 6 2 2 4 +--R (- 32b + 80a b - 48a )cos(x) + (32b - 96a b + 72a )cos(x) +--R + +--R 2 2 +--R (16a b - 24a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ +-+ |(b - a)cos(x) + a +--R \|b - a \|b |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 112a b + 128a b - 48a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 32b + 144a b - 208a b + 96a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (- 32a b + 84a b - 54a )cos(x) - 4a b + 6a +--R * +--R +-+ +--R \|b +--R * +--R +-------------+ +--R | 2 +--R tan(x)\|b cot(x) + a +--R atanh(----------------------) +--R +-+ +--R \|b +--R + +--R 2 2 6 2 2 4 +--R (- 32b + 80a b - 48a )cos(x) + (32b - 96a b + 72a )cos(x) +--R + +--R 2 2 +--R (16a b - 24a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R +---+ +-----+ |(b - a)cos(x) + a +--R \|- b \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 112a b + 128a b - 48a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 32b + 144a b - 208a b + 96a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (- 32a b + 84a b - 54a )cos(x) - 4a b + 6a +--R * +--R +---+ +--R \|- b +--R * +--R +------------------+ +--R | 2 +--R 2 +---+ |(b - a)cos(x) + a 2 +---+ +-----+ +--R cos(x) \|- b |------------------ + (- cos(x) + 1)\|- b \|b - a +--R | 2 +--R \| cos(x) +--R atan(------------------------------------------------------------------) +--R b +--R + +--R 2 2 6 2 2 4 +--R (- 32b + 64a b - 32a )cos(x) + (32b - 80a b + 48a )cos(x) +--R + +--R 2 2 +--R (16a b - 16a )cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-------+ +-----+ |(b - a)cos(x) + a +--R \|- b + a \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (32b - 96a b + 96a b - 32a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 32b + 128a b - 160a b + 64a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (- 32a b + 68a b - 36a )cos(x) - 4a b + 4a +--R * +--R +-------+ +--R \|- b + a +--R * +--R +-------+ +--R cot(x)\|- b + a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R + +--R 2 6 2 4 2 +--R ((16b - 16a b)cos(x) + (- 16b + 24a b)cos(x) - 8a b cos(x) ) +--R * +--R +------------------+ +--R | 2 +--R +-----+ |(b - a)cos(x) + a +--R cot(x)\|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 6 3 2 2 4 +--R (- 16b + 32a b - 16a b)cos(x) + (16b - 48a b + 32a b)cos(x) +--R + +--R 2 2 2 2 +--R (16a b - 18a b)cos(x) + 2a b +--R * +--R cot(x) +--R * +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R + +--R 3 2 2 3 6 +--R (- 8b + 24a b - 24a b + 8a )cos(x) +--R + +--R 3 2 2 3 4 2 2 3 2 +--R (8b - 28a b + 32a b - 12a )cos(x) + (4a b - 8a b + 4a )cos(x) +--R * +--R log(4b) +--R + +--R 3 2 2 4 2 2 2 +--R (- 16b + 24a b - 8a b)cos(x) + (- 8a b + 6a b)cos(x) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 3 2 2 3 6 +--R (8b - 24a b + 24a b - 8a )cos(x) +--R + +--R 3 2 2 3 4 +--R (- 8b + 32a b - 40a b + 16a )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (- 8a b + 17a b - 9a )cos(x) - a b + a +--R * +--R log(4b) +--R + +--R 3 2 2 4 2 2 2 2 +--R (16b - 24a b + 8a b)cos(x) + (16a b - 10a b)cos(x) + 2a b +--R * +--R +-----+ +--R \|b - a +--R / +--R 6 4 2 +-----+ +--R ((32b - 32a)cos(x) + (- 32b + 48a)cos(x) - 16a cos(x) )\|b - a +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 2 2 6 2 2 4 +--R (- 32b + 64a b - 32a )cos(x) + (32b - 96a b + 64a )cos(x) +--R + +--R 2 2 2 +--R (32a b - 36a )cos(x) + 4a +--R Type: Expression Integer +--E 342 + +--S 343 of 510 +d0266b:= D(m0266b,x) +--R +--R +--R (316) +--R 8 7 2 6 3 5 +--R - 4096b + 28672a b - 86016a b + 143360a b +--R + +--R 4 4 5 3 6 2 7 +--R - 143360a b + 86016a b - 28672a b + 4096a b +--R * +--R 15 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 16384a b + 98304a b - 245760a b + 327680a b +--R + +--R 5 3 6 2 7 +--R - 245760a b + 98304a b - 16384a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R - 26112a b + 130560a b - 261120a b + 261120a b +--R + +--R 6 2 7 +--R - 130560a b + 26112a b +--R * +--R 11 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R - 20992a b + 83968a b - 125952a b + 83968a b +--R + +--R 7 +--R - 20992a b +--R * +--R 9 +--R cos(x) +--R + +--R 4 4 5 3 6 2 7 7 +--R (- 8848a b + 26544a b - 26544a b + 8848a b)cos(x) +--R + +--R 5 3 6 2 7 5 +--R (- 1824a b + 3648a b - 1824a b)cos(x) +--R + +--R 6 2 7 3 7 +--R (- 146a b + 146a b)cos(x) - 2a b cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 4096a b + 28672a b - 86016a b + 143360a b +--R + +--R 5 3 6 2 7 8 +--R - 143360a b + 86016a b - 28672a b + 4096a +--R * +--R 15 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R - 16384a b + 98304a b - 245760a b + 327680a b +--R + +--R 6 2 7 8 +--R - 245760a b + 98304a b - 16384a +--R * +--R 13 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R - 26112a b + 130560a b - 261120a b + 261120a b +--R + +--R 7 8 +--R - 130560a b + 26112a +--R * +--R 11 +--R cos(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (- 20992a b + 83968a b - 125952a b + 83968a b - 20992a ) +--R * +--R 9 +--R cos(x) +--R + +--R 5 3 6 2 7 8 7 +--R (- 8848a b + 26544a b - 26544a b + 8848a )cos(x) +--R + +--R 6 2 7 8 5 +--R (- 1824a b + 3648a b - 1824a )cos(x) +--R + +--R 7 8 3 8 +--R (- 146a b + 146a )cos(x) - 2a cos(x) +--R * +--R 2 +--R sin(x)tan(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 4096b - 28672a b + 86016a b - 143360a b + 143360a b +--R + +--R 5 3 6 2 7 +--R - 86016a b + 28672a b - 4096a b +--R * +--R 15 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R 16384a b - 98304a b + 245760a b - 327680a b +--R + +--R 5 3 6 2 7 +--R 245760a b - 98304a b + 16384a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R 26112a b - 130560a b + 261120a b - 261120a b +--R + +--R 6 2 7 +--R 130560a b - 26112a b +--R * +--R 11 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (20992a b - 83968a b + 125952a b - 83968a b + 20992a b) +--R * +--R 9 +--R cos(x) +--R + +--R 4 4 5 3 6 2 7 7 +--R (8848a b - 26544a b + 26544a b - 8848a b)cos(x) +--R + +--R 5 3 6 2 7 5 +--R (1824a b - 3648a b + 1824a b)cos(x) +--R + +--R 6 2 7 3 7 +--R (146a b - 146a b)cos(x) + 2a b cos(x) +--R * +--R sin(x) +--R * +--R +------------------+ +--R | 2 +--R |(b - a)cos(x) + a +--R |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 8 7 2 6 3 5 +--R 4096b - 28672a b + 86016a b - 143360a b +--R + +--R 4 4 5 3 6 2 7 +--R 143360a b - 86016a b + 28672a b - 4096a b +--R * +--R 15 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R 18432a b - 110592a b + 276480a b - 368640a b +--R + +--R 5 3 6 2 7 +--R 276480a b - 110592a b + 18432a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R 33792a b - 168960a b + 337920a b - 337920a b +--R + +--R 6 2 7 +--R 168960a b - 33792a b +--R * +--R 11 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R 32256a b - 129024a b + 193536a b - 129024a b +--R + +--R 7 +--R 32256a b +--R * +--R 9 +--R cos(x) +--R + +--R 4 4 5 3 6 2 7 7 +--R (16944a b - 50832a b + 50832a b - 16944a b)cos(x) +--R + +--R 5 3 6 2 7 5 +--R (4728a b - 9456a b + 4728a b)cos(x) +--R + +--R 6 2 7 3 7 +--R (608a b - 608a b)cos(x) + 24a b cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 7 2 6 3 5 4 4 +--R 4096a b - 28672a b + 86016a b - 143360a b +--R + +--R 5 3 6 2 7 8 +--R 143360a b - 86016a b + 28672a b - 4096a +--R * +--R 15 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R 18432a b - 110592a b + 276480a b - 368640a b +--R + +--R 6 2 7 8 +--R 276480a b - 110592a b + 18432a +--R * +--R 13 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R 33792a b - 168960a b + 337920a b - 337920a b +--R + +--R 7 8 +--R 168960a b - 33792a +--R * +--R 11 +--R cos(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (32256a b - 129024a b + 193536a b - 129024a b + 32256a ) +--R * +--R 9 +--R cos(x) +--R + +--R 5 3 6 2 7 8 7 +--R (16944a b - 50832a b + 50832a b - 16944a )cos(x) +--R + +--R 6 2 7 8 5 +--R (4728a b - 9456a b + 4728a )cos(x) +--R + +--R 7 8 3 8 +--R (608a b - 608a )cos(x) + 24a cos(x) +--R * +--R 2 +--R sin(x)tan(x) +--R + +--R 8 7 2 6 3 5 +--R - 4096b + 28672a b - 86016a b + 143360a b +--R + +--R 4 4 5 3 6 2 7 +--R - 143360a b + 86016a b - 28672a b + 4096a b +--R * +--R 15 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 18432a b + 110592a b - 276480a b + 368640a b +--R + +--R 5 3 6 2 7 +--R - 276480a b + 110592a b - 18432a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R - 33792a b + 168960a b - 337920a b + 337920a b +--R + +--R 6 2 7 +--R - 168960a b + 33792a b +--R * +--R 11 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R - 32256a b + 129024a b - 193536a b + 129024a b +--R + +--R 7 +--R - 32256a b +--R * +--R 9 +--R cos(x) +--R + +--R 4 4 5 3 6 2 7 7 +--R (- 16944a b + 50832a b - 50832a b + 16944a b)cos(x) +--R + +--R 5 3 6 2 7 5 +--R (- 4728a b + 9456a b - 4728a b)cos(x) +--R + +--R 6 2 7 3 7 +--R (- 608a b + 608a b)cos(x) - 24a b cos(x) +--R * +--R sin(x) +--R * +--R +-----+ +--R \|b - a +--R * +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R + +--R 8 7 2 6 3 5 4 4 +--R - 4096b + 20480a b - 40960a b + 40960a b - 20480a b +--R + +--R 5 3 +--R 4096a b +--R * +--R 16 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 8192b - 51200a b + 122880a b - 143360a b + 81920a b +--R + +--R 5 3 +--R - 18432a b +--R * +--R 14 +--R cos(x) +--R + +--R 8 7 2 6 3 5 +--R - 4096b + 40960a b - 132096a b + 191488a b +--R + +--R 4 4 5 3 +--R - 130048a b + 33792a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 10240a b + 59392a b - 120320a b + 103424a b +--R + +--R 5 3 +--R - 32256a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 8 +--R (- 9216a b + 34816a b - 42544a b + 16944a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 +--R (- 3584a b + 8288a b - 4728a b )cos(x) +--R + +--R 4 4 5 3 4 5 3 2 +--R (- 560a b + 608a b )cos(x) - 24a b cos(x) +--R * +--R 6 +--R cot(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 4096b + 14336a b - 10240a b - 20480a b + 40960a b +--R + +--R 5 3 6 2 +--R - 26624a b + 6144a b +--R * +--R 16 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 8192b - 38912a b + 46080a b + 40960a b - 133120a b +--R + +--R 5 3 6 2 +--R 104448a b - 27648a b +--R * +--R 14 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 4096b + 34816a b - 70656a b - 6656a b + 157184a b +--R + +--R 5 3 6 2 +--R - 161280a b + 50688a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 10240a b + 44032a b - 31232a b - 77056a b +--R + +--R 5 3 6 2 +--R 122880a b - 48384a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (- 9216a b + 20992a b + 9680a b - 46872a b + 25416a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 6 +--R (- 3584a b + 2912a b + 7704a b - 7092a b )cos(x) +--R + +--R 4 4 5 3 6 2 4 +--R (- 560a b - 232a b + 912a b )cos(x) +--R + +--R 5 3 6 2 2 +--R (- 24a b - 36a b )cos(x) +--R * +--R 4 +--R cot(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 4096a b + 14336a b - 10240a b - 20480a b +--R + +--R 5 3 6 2 7 +--R 40960a b - 26624a b + 6144a b +--R * +--R 16 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 8192a b - 38912a b + 46080a b + 40960a b - 133120a b +--R + +--R 6 2 7 +--R 104448a b - 27648a b +--R * +--R 14 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 4096a b + 34816a b - 70656a b - 6656a b +--R + +--R 5 3 6 2 7 +--R 157184a b - 161280a b + 50688a b +--R * +--R 12 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R - 10240a b + 44032a b - 31232a b - 77056a b +--R + +--R 6 2 7 +--R 122880a b - 48384a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 9216a b + 20992a b + 9680a b - 46872a b + 25416a b) +--R * +--R 8 +--R cos(x) +--R + +--R 4 4 5 3 6 2 7 6 +--R (- 3584a b + 2912a b + 7704a b - 7092a b)cos(x) +--R + +--R 5 3 6 2 7 4 +--R (- 560a b - 232a b + 912a b)cos(x) +--R + +--R 6 2 7 2 +--R (- 24a b - 36a b)cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R - 4096a b + 20480a b - 40960a b + 40960a b - 20480a b +--R + +--R 8 +--R 4096a +--R * +--R 16 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 8192a b - 51200a b + 122880a b - 143360a b + 81920a b +--R + +--R 8 +--R - 18432a +--R * +--R 14 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R - 4096a b + 40960a b - 132096a b + 191488a b - 130048a b +--R + +--R 8 +--R 33792a +--R * +--R 12 +--R cos(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (- 10240a b + 59392a b - 120320a b + 103424a b - 32256a ) +--R * +--R 10 +--R cos(x) +--R + +--R 5 3 6 2 7 8 8 +--R (- 9216a b + 34816a b - 42544a b + 16944a )cos(x) +--R + +--R 6 2 7 8 6 +--R (- 3584a b + 8288a b - 4728a )cos(x) +--R + +--R 7 8 4 8 2 +--R (- 560a b + 608a )cos(x) - 24a cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 4096b + 26624a b - 71680a b + 102400a b - 81920a b +--R + +--R 5 3 6 2 +--R 34816a b - 6144a b +--R * +--R 16 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 8192b - 63488a b + 199680a b - 327680a b + 296960a b +--R + +--R 5 3 6 2 +--R - 141312a b + 27648a b +--R * +--R 14 +--R cos(x) +--R + +--R 8 7 2 6 3 5 +--R - 4096b + 47104a b - 193536a b + 389632a b +--R + +--R 4 4 5 3 6 2 +--R - 417280a b + 228864a b - 50688a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 10240a b + 74752a b - 209408a b + 283904a b +--R + +--R 5 3 6 2 +--R - 187392a b + 48384a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R - 9216a b + 48640a b - 94768a b + 80760a b +--R + +--R 6 2 +--R - 25416a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 6 +--R (- 3584a b + 13664a b - 17160a b + 7092a b )cos(x) +--R + +--R 4 4 5 3 6 2 4 +--R (- 560a b + 1448a b - 912a b )cos(x) +--R + +--R 5 3 6 2 2 +--R (- 24a b + 36a b )cos(x) +--R * +--R 3 +--R cot(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 4096b + 26624a b - 71680a b + 102400a b - 81920a b +--R + +--R 5 3 6 2 +--R 34816a b - 6144a b +--R * +--R 16 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 8192b - 63488a b + 199680a b - 327680a b + 296960a b +--R + +--R 5 3 6 2 +--R - 141312a b + 27648a b +--R * +--R 14 +--R cos(x) +--R + +--R 8 7 2 6 3 5 +--R - 4096b + 47104a b - 193536a b + 389632a b +--R + +--R 4 4 5 3 6 2 +--R - 417280a b + 228864a b - 50688a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 10240a b + 74752a b - 209408a b + 283904a b +--R + +--R 5 3 6 2 +--R - 187392a b + 48384a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R - 9216a b + 48640a b - 94768a b + 80760a b +--R + +--R 6 2 +--R - 25416a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 6 +--R (- 3584a b + 13664a b - 17160a b + 7092a b )cos(x) +--R + +--R 4 4 5 3 6 2 4 +--R (- 560a b + 1448a b - 912a b )cos(x) +--R + +--R 5 3 6 2 2 +--R (- 24a b + 36a b )cos(x) +--R * +--R cot(x) +--R * +--R tan(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 4096b - 20480a b + 40960a b - 40960a b + 20480a b +--R + +--R 5 3 +--R - 4096a b +--R * +--R 16 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 8192b + 51200a b - 122880a b + 143360a b - 81920a b +--R + +--R 5 3 +--R 18432a b +--R * +--R 14 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 4096b - 40960a b + 132096a b - 191488a b + 130048a b +--R + +--R 5 3 +--R - 33792a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R (10240a b - 59392a b + 120320a b - 103424a b + 32256a b ) +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 8 +--R (9216a b - 34816a b + 42544a b - 16944a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 +--R (3584a b - 8288a b + 4728a b )cos(x) +--R + +--R 4 4 5 3 4 5 3 2 +--R (560a b - 608a b )cos(x) + 24a b cos(x) +--R * +--R 4 +--R cot(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 8192b - 45056a b + 102400a b - 122880a b + 81920a b +--R + +--R 5 3 6 2 +--R - 28672a b + 4096a b +--R * +--R 16 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 16384b + 110592a b - 296960a b + 409600a b - 307200a b +--R + +--R 5 3 6 2 +--R 118784a b - 18432a b +--R * +--R 14 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 8192b - 86016a b + 305152a b - 515072a b + 451584a b +--R + +--R 5 3 6 2 +--R - 197632a b + 33792a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 20480a b - 129024a b + 300032a b - 327168a b + 167936a b +--R + +--R 6 2 +--R - 32256a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (18432a b - 78848a b + 119904a b - 76432a b + 16944a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 6 +--R (7168a b - 20160a b + 17744a b - 4728a b )cos(x) +--R + +--R 4 4 5 3 6 2 4 5 3 6 2 2 +--R (1120a b - 1776a b + 608a b )cos(x) + (48a b - 24a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 4096b - 22528a b + 49152a b - 51200a b + 20480a b + 6144a b +--R + +--R 6 2 7 +--R - 8192a b + 2048a b +--R * +--R 16 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 8192b + 55296a b - 144384a b + 179200a b - 92160a b +--R + +--R 5 3 6 2 7 +--R - 12288a b + 31744a b - 9216a b +--R * +--R 14 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 4096b - 43008a b + 150528a b - 237056a b + 159744a b +--R + +--R 5 3 6 2 7 +--R - 3072a b - 48128a b + 16896a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 10240a b - 64512a b + 144896a b - 133888a b + 23808a b +--R + +--R 6 2 7 +--R 35584a b - 16128a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 9216a b - 39424a b + 55344a b - 20808a b - 12800a b +--R + +--R 7 +--R 8472a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 6 +--R (3584a b - 10080a b + 7080a b + 1780a b - 2364a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 4 +--R (560a b - 888a b + 24a b + 304a b)cos(x) +--R + +--R 5 3 6 2 7 2 +--R (24a b - 12a b - 12a b)cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ |(b - a)cos(x) + a +--R \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 4096b - 24576a b + 61440a b - 81920a b + 61440a b +--R + +--R 5 4 6 3 +--R - 24576a b + 4096a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 8192b + 61440a b - 184320a b + 286720a b - 245760a b +--R + +--R 5 4 6 3 +--R 110592a b - 20480a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 4096b - 49152a b + 198144a b - 382976a b + 390144a b +--R + +--R 5 4 6 3 +--R - 202752a b + 42496a b +--R * +--R 12 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 12288a b - 89088a b + 240640a b - 310272a b + 193536a b +--R + +--R 6 3 +--R - 47104a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R (13824a b - 69632a b + 127632a b - 101664a b + 29840a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 6 +--R (7168a b - 24864a b + 28368a b - 10672a b )cos(x) +--R + +--R 4 5 5 4 6 3 4 +--R (1680a b - 3648a b + 1970a b )cos(x) +--R + +--R 5 4 6 3 2 6 3 +--R (144a b - 148a b )cos(x) + 2a b +--R * +--R 6 +--R cot(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 4096b - 18432a b + 24576a b + 10240a b - 61440a b +--R + +--R 5 4 6 3 7 2 +--R 67584a b - 32768a b + 6144a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 8192b + 49152a b - 92160a b + 10240a b + 184320a b +--R + +--R 5 4 6 3 7 2 +--R - 258048a b + 145408a b - 30720a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 4096b - 43008a b + 124416a b - 85760a b - 184320a b +--R + +--R 5 4 6 3 7 2 +--R 382464a b - 261632a b + 63744a b +--R * +--R 12 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 12288a b - 70656a b + 107008a b + 50688a b - 271872a b +--R + +--R 6 3 7 2 +--R 243200a b - 70656a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 13824a b - 48896a b + 23184a b + 89784a b - 122656a b +--R + +--R 7 2 +--R 44760a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 6 +--R (7168a b - 14112a b - 8928a b + 31880a b - 16008a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 4 +--R (1680a b - 1128a b - 3502a b + 2955a b )cos(x) +--R + +--R 5 4 6 3 7 2 2 6 3 7 2 +--R (144a b + 68a b - 222a b )cos(x) + 2a b + 3a b +--R * +--R 4 +--R cot(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 4096a b - 18432a b + 24576a b + 10240a b - 61440a b +--R + +--R 6 3 7 2 8 +--R 67584a b - 32768a b + 6144a b +--R * +--R 16 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 8192a b + 49152a b - 92160a b + 10240a b + 184320a b +--R + +--R 6 3 7 2 8 +--R - 258048a b + 145408a b - 30720a b +--R * +--R 14 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 4096a b - 43008a b + 124416a b - 85760a b - 184320a b +--R + +--R 6 3 7 2 8 +--R 382464a b - 261632a b + 63744a b +--R * +--R 12 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 12288a b - 70656a b + 107008a b + 50688a b - 271872a b +--R + +--R 7 2 8 +--R 243200a b - 70656a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 13824a b - 48896a b + 23184a b + 89784a b - 122656a b +--R + +--R 8 +--R 44760a b +--R * +--R 8 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 6 +--R (7168a b - 14112a b - 8928a b + 31880a b - 16008a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 4 +--R (1680a b - 1128a b - 3502a b + 2955a b)cos(x) +--R + +--R 6 3 7 2 8 2 7 2 8 +--R (144a b + 68a b - 222a b)cos(x) + 2a b + 3a b +--R * +--R 2 +--R cot(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 4096a b - 24576a b + 61440a b - 81920a b + 61440a b +--R + +--R 8 9 +--R - 24576a b + 4096a +--R * +--R 16 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 8192a b + 61440a b - 184320a b + 286720a b - 245760a b +--R + +--R 8 9 +--R 110592a b - 20480a +--R * +--R 14 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 4096a b - 49152a b + 198144a b - 382976a b + 390144a b +--R + +--R 8 9 +--R - 202752a b + 42496a +--R * +--R 12 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 12288a b - 89088a b + 240640a b - 310272a b + 193536a b +--R + +--R 9 +--R - 47104a +--R * +--R 10 +--R cos(x) +--R + +--R 5 4 6 3 7 2 8 9 8 +--R (13824a b - 69632a b + 127632a b - 101664a b + 29840a )cos(x) +--R + +--R 6 3 7 2 8 9 6 +--R (7168a b - 24864a b + 28368a b - 10672a )cos(x) +--R + +--R 7 2 8 9 4 8 9 2 9 +--R (1680a b - 3648a b + 1970a )cos(x) + (144a b - 148a )cos(x) + 2a +--R * +--R 2 +--R tan(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 4096b - 30720a b + 98304a b - 174080a b + 184320a b +--R + +--R 5 4 6 3 7 2 +--R - 116736a b + 40960a b - 6144a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 8192b + 73728a b - 276480a b + 563200a b - 675840a b +--R + +--R 5 4 6 3 7 2 +--R 479232a b - 186368a b + 30720a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 4096b - 55296a b + 271872a b - 680192a b + 964608a b +--R + +--R 5 4 6 3 7 2 +--R - 787968a b + 346624a b - 63744a b +--R * +--R 12 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 12288a b - 107520a b + 374272a b - 671232a b + 658944a b +--R + +--R 6 3 7 2 +--R - 337408a b + 70656a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 13824a b - 90368a b + 232080a b - 293112a b + 182336a b +--R + +--R 7 2 +--R - 44760a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 6 +--R (7168a b - 35616a b + 65664a b - 53224a b + 16008a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 4 +--R (1680a b - 6168a b + 7442a b - 2955a b )cos(x) +--R + +--R 5 4 6 3 7 2 2 6 3 7 2 +--R (144a b - 364a b + 222a b )cos(x) + 2a b - 3a b +--R * +--R 3 +--R cot(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 4096b - 30720a b + 98304a b - 174080a b + 184320a b +--R + +--R 5 4 6 3 7 2 +--R - 116736a b + 40960a b - 6144a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 8192b + 73728a b - 276480a b + 563200a b - 675840a b +--R + +--R 5 4 6 3 7 2 +--R 479232a b - 186368a b + 30720a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 4096b - 55296a b + 271872a b - 680192a b + 964608a b +--R + +--R 5 4 6 3 7 2 +--R - 787968a b + 346624a b - 63744a b +--R * +--R 12 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 12288a b - 107520a b + 374272a b - 671232a b + 658944a b +--R + +--R 6 3 7 2 +--R - 337408a b + 70656a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 13824a b - 90368a b + 232080a b - 293112a b + 182336a b +--R + +--R 7 2 +--R - 44760a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 6 +--R (7168a b - 35616a b + 65664a b - 53224a b + 16008a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 4 +--R (1680a b - 6168a b + 7442a b - 2955a b )cos(x) +--R + +--R 5 4 6 3 7 2 2 6 3 7 2 +--R (144a b - 364a b + 222a b )cos(x) + 2a b - 3a b +--R * +--R cot(x) +--R * +--R tan(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 4096b + 24576a b - 61440a b + 81920a b - 61440a b +--R + +--R 5 4 6 3 +--R 24576a b - 4096a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 8192b - 61440a b + 184320a b - 286720a b + 245760a b +--R + +--R 5 4 6 3 +--R - 110592a b + 20480a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 4096b + 49152a b - 198144a b + 382976a b - 390144a b +--R + +--R 5 4 6 3 +--R 202752a b - 42496a b +--R * +--R 12 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 12288a b + 89088a b - 240640a b + 310272a b - 193536a b +--R + +--R 6 3 +--R 47104a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R (- 13824a b + 69632a b - 127632a b + 101664a b - 29840a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 6 +--R (- 7168a b + 24864a b - 28368a b + 10672a b )cos(x) +--R + +--R 4 5 5 4 6 3 4 +--R (- 1680a b + 3648a b - 1970a b )cos(x) +--R + +--R 5 4 6 3 2 6 3 +--R (- 144a b + 148a b )cos(x) - 2a b +--R * +--R 4 +--R cot(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 8192b + 53248a b - 147456a b + 225280a b - 204800a b +--R + +--R 5 4 6 3 7 2 +--R 110592a b - 32768a b + 4096a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 16384b - 131072a b + 430080a b - 757760a b + 778240a b +--R + +--R 5 4 6 3 7 2 +--R - 466944a b + 151552a b - 20480a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 8192b + 102400a b - 445440a b + 964096a b - 1163264a b +--R + +--R 5 4 6 3 7 2 +--R 795648a b - 287744a b + 42496a b +--R * +--R 12 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 24576a b + 190464a b - 570368a b + 861184a b - 697344a b +--R + +--R 6 3 7 2 +--R 287744a b - 47104a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 27648a b + 153088a b - 324896a b + 330960a b - 161344a b +--R + +--R 7 2 +--R 29840a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 6 +--R (- 14336a b + 56896a b - 81600a b + 49712a b - 10672a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 4 +--R (- 3360a b + 8976a b - 7588a b + 1970a b )cos(x) +--R + +--R 5 4 6 3 7 2 2 6 3 7 2 +--R (- 288a b + 440a b - 148a b )cos(x) - 4a b + 2a b +--R * +--R 2 +--R cot(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 4096b + 26624a b - 71680a b + 100352a b - 71680a b + 14336a b +--R + +--R 6 3 7 2 8 +--R 14336a b - 10240a b + 2048a b +--R * +--R 16 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 8192b - 65536a b + 210944a b - 348160a b + 296960a b - 90112a b +--R + +--R 6 3 7 2 8 +--R - 47104a b + 45056a b - 10240a b +--R * +--R 14 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 4096b + 51200a b - 220672a b + 457472a b - 482560a b +--R + +--R 5 4 6 3 7 2 8 +--R 206336a b + 51200a b - 80128a b + 21248a b +--R * +--R 12 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 12288a b + 95232a b - 279040a b + 386048a b - 228352a b +--R + +--R 6 3 7 2 8 +--R - 11264a b + 73216a b - 23552a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 13824a b + 76544a b - 155536a b + 130664a b - 16856a b +--R + +--R 7 2 8 +--R - 35912a b + 14920a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R (- 7168a b + 28448a b - 37216a b + 12424a b + 8848a b - 5336a b) +--R * +--R 6 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 4 +--R (- 1680a b + 4488a b - 2954a b - 839a b + 985a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 2 6 3 7 2 8 +--R (- 144a b + 220a b - 2a b - 74a b)cos(x) - 2a b + a b + a b +--R / +--R 6 5 2 4 3 3 4 2 +--R 4096b - 20480a b + 40960a b - 40960a b + 20480a b +--R + +--R 5 +--R - 4096a b +--R * +--R 16 +--R cos(x) +--R + +--R 6 5 2 4 3 3 +--R - 8192b + 51200a b - 122880a b + 143360a b +--R + +--R 4 2 5 +--R - 81920a b + 18432a b +--R * +--R 14 +--R cos(x) +--R + +--R 6 5 2 4 3 3 +--R 4096b - 40960a b + 132096a b - 191488a b +--R + +--R 4 2 5 +--R 130048a b - 33792a b +--R * +--R 12 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 +--R 10240a b - 59392a b + 120320a b - 103424a b +--R + +--R 5 +--R 32256a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 4 3 3 4 2 5 8 +--R (9216a b - 34816a b + 42544a b - 16944a b)cos(x) +--R + +--R 3 3 4 2 5 6 +--R (3584a b - 8288a b + 4728a b)cos(x) +--R + +--R 4 2 5 4 5 2 +--R (560a b - 608a b)cos(x) + 24a b cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 4096a b - 20480a b + 40960a b - 40960a b + 20480a b +--R + +--R 6 +--R - 4096a +--R * +--R 16 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R - 8192a b + 51200a b - 122880a b + 143360a b - 81920a b +--R + +--R 6 +--R 18432a +--R * +--R 14 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 4096a b - 40960a b + 132096a b - 191488a b + 130048a b +--R + +--R 6 +--R - 33792a +--R * +--R 12 +--R cos(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R (10240a b - 59392a b + 120320a b - 103424a b + 32256a ) +--R * +--R 10 +--R cos(x) +--R + +--R 3 3 4 2 5 6 8 +--R (9216a b - 34816a b + 42544a b - 16944a )cos(x) +--R + +--R 4 2 5 6 6 5 6 4 +--R (3584a b - 8288a b + 4728a )cos(x) + (560a b - 608a )cos(x) +--R + +--R 6 2 +--R 24a cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 4096b + 20480a b - 40960a b + 40960a b - 20480a b +--R + +--R 5 +--R 4096a b +--R * +--R 16 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R 8192b - 51200a b + 122880a b - 143360a b + 81920a b +--R + +--R 5 +--R - 18432a b +--R * +--R 14 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 4096b + 40960a b - 132096a b + 191488a b - 130048a b +--R + +--R 5 +--R 33792a b +--R * +--R 12 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 10240a b + 59392a b - 120320a b + 103424a b - 32256a b) +--R * +--R 10 +--R cos(x) +--R + +--R 2 4 3 3 4 2 5 8 +--R (- 9216a b + 34816a b - 42544a b + 16944a b)cos(x) +--R + +--R 3 3 4 2 5 6 +--R (- 3584a b + 8288a b - 4728a b)cos(x) +--R + +--R 4 2 5 4 5 2 +--R (- 560a b + 608a b)cos(x) - 24a b cos(x) +--R * +--R +------------------+ +--R | 2 +--R +-----+ |(b - a)cos(x) + a +--R \|b - a |------------------ +--R | 2 +--R \| cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 4096b + 24576a b - 61440a b + 81920a b - 61440a b +--R + +--R 5 2 6 +--R 24576a b - 4096a b +--R * +--R 16 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 8192b - 61440a b + 184320a b - 286720a b + 245760a b +--R + +--R 5 2 6 +--R - 110592a b + 20480a b +--R * +--R 14 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 4096b + 49152a b - 198144a b + 382976a b - 390144a b +--R + +--R 5 2 6 +--R 202752a b - 42496a b +--R * +--R 12 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 12288a b + 89088a b - 240640a b + 310272a b +--R + +--R 5 2 6 +--R - 193536a b + 47104a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R - 13824a b + 69632a b - 127632a b + 101664a b +--R + +--R 6 +--R - 29840a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 4 4 3 5 2 6 6 +--R (- 7168a b + 24864a b - 28368a b + 10672a b)cos(x) +--R + +--R 4 3 5 2 6 4 +--R (- 1680a b + 3648a b - 1970a b)cos(x) +--R + +--R 5 2 6 2 6 +--R (- 144a b + 148a b)cos(x) - 2a b +--R * +--R 2 +--R cot(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 4096a b + 24576a b - 61440a b + 81920a b - 61440a b +--R + +--R 6 7 +--R 24576a b - 4096a +--R * +--R 16 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 8192a b - 61440a b + 184320a b - 286720a b + 245760a b +--R + +--R 6 7 +--R - 110592a b + 20480a +--R * +--R 14 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 4096a b + 49152a b - 198144a b + 382976a b - 390144a b +--R + +--R 6 7 +--R 202752a b - 42496a +--R * +--R 12 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 12288a b + 89088a b - 240640a b + 310272a b - 193536a b +--R + +--R 7 +--R 47104a +--R * +--R 10 +--R cos(x) +--R + +--R 3 4 4 3 5 2 6 7 8 +--R (- 13824a b + 69632a b - 127632a b + 101664a b - 29840a )cos(x) +--R + +--R 4 3 5 2 6 7 6 +--R (- 7168a b + 24864a b - 28368a b + 10672a )cos(x) +--R + +--R 5 2 6 7 4 6 7 2 +--R (- 1680a b + 3648a b - 1970a )cos(x) + (- 144a b + 148a )cos(x) +--R + +--R 7 +--R - 2a +--R * +--R 2 +--R tan(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 4096b - 24576a b + 61440a b - 81920a b + 61440a b - 24576a b +--R + +--R 6 +--R 4096a b +--R * +--R 16 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 8192b + 61440a b - 184320a b + 286720a b - 245760a b +--R + +--R 5 2 6 +--R 110592a b - 20480a b +--R * +--R 14 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 4096b - 49152a b + 198144a b - 382976a b + 390144a b +--R + +--R 5 2 6 +--R - 202752a b + 42496a b +--R * +--R 12 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 12288a b - 89088a b + 240640a b - 310272a b + 193536a b +--R + +--R 6 +--R - 47104a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 8 +--R (13824a b - 69632a b + 127632a b - 101664a b + 29840a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 6 +--R (7168a b - 24864a b + 28368a b - 10672a b)cos(x) +--R + +--R 4 3 5 2 6 4 5 2 6 2 6 +--R (1680a b - 3648a b + 1970a b)cos(x) + (144a b - 148a b)cos(x) + 2a b +--R * +--R +-------------+ +--R | 2 +--R \|b cot(x) + a +--R Type: Expression Integer +--E 343 + +--S 344 of 510 +t0267:= sec(a+b*x) +--R +--R +--R (317) sec(b x + a) +--R Type: Expression Integer +--E 344 + +--S 345 of 510 +r0267:= atanh(sin(a+b*x))/b +--R +--R +--R atanh(sin(b x + a)) +--R (318) ------------------- +--R b +--R Type: Expression Integer +--E 345 + +--S 346 of 510 +a0267:= integrate(t0267,x) +--R +--R +--R (319) +--R sin(b x + a) + cos(b x + a) + 1 sin(b x + a) - cos(b x + a) - 1 +--R log(-------------------------------) - log(-------------------------------) +--R cos(b x + a) + 1 cos(b x + a) + 1 +--R --------------------------------------------------------------------------- +--R b +--R Type: Union(Expression Integer,...) +--E 346 + +--S 347 of 510 +m0267:= a0267-r0267 +--R +--R +--R (320) +--R sin(b x + a) + cos(b x + a) + 1 +--R log(-------------------------------) +--R cos(b x + a) + 1 +--R + +--R sin(b x + a) - cos(b x + a) - 1 +--R - log(-------------------------------) - atanh(sin(b x + a)) +--R cos(b x + a) + 1 +--R / +--R b +--R Type: Expression Integer +--E 347 + +--S 348 of 510 +d0267:= D(m0267,x) +--R +--R +--R (321) +--R 4 2 2 +--R - 2sin(b x + a) + (- 2cos(b x + a) - cos(b x + a) + 2)sin(b x + a) +--R + +--R 3 +--R - cos(b x + a) + cos(b x + a) +--R / +--R 4 2 2 +--R sin(b x + a) + (- cos(b x + a) - 2cos(b x + a) - 2)sin(b x + a) +--R + +--R 2 +--R cos(b x + a) + 2cos(b x + a) + 1 +--R Type: Expression Integer +--E 348 + +--S 349 of 510 +t0268:= sec(a+b*x)^(1/2) +--R +--R +--R +------------+ +--R (322) \|sec(b x + a) +--R Type: Expression Integer +--E 349 + +--S 350 of 510 +r0268:= 2*cos(a+b*x)^(1/2)*EllipticF(1/2*a+1/2*b*x,2)*sec(a+b*x)^(1/2)/b +--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 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 350 + +--S 351 of 510 +a0268:= integrate(t0268,x) +--R +--R +--R x +--R ++ +-------------+ +--R (323) | \|sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 351 + +--S 352 of 510 +m0268:= a0268-r0268 +--R +--R +--R x +--R ++ +-------------+ +--R (324) | \|sec(%H b + a) d%H - r0268 +--R ++ +--R Type: Expression Integer +--E 352 + +--S 353 of 510 +d0268:= D(m0268,x) +--R +--R +--R +------------+ +--R (325) \|sec(b x + a) +--R Type: Expression Integer +--E 353 + +--S 354 of 510 +t0269:= sec(a+b*x)^(3/2) +--R +--R +--R +------------+ +--R (326) sec(b x + a)\|sec(b x + a) +--R Type: Expression Integer +--E 354 + +--S 355 of 510 +r0269:= -2*(1/cos(a+b*x))^(1/2)*(cos(a+b*x)^(1/2)*EllipticE(1/2*a+1/2*b*x,2)-sin(a+b*x))/b +--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 Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 355 + +--S 356 of 510 +a0269:= integrate(t0269,x) +--R +--R +--R x +--R ++ +-------------+ +--R (327) | sec(%H b + a)\|sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 356 + +--S 357 of 510 +m0269:= a0269-r0269 +--R +--R +--R x +--R ++ +-------------+ +--R (328) | sec(%H b + a)\|sec(%H b + a) d%H - r0269 +--R ++ +--R Type: Expression Integer +--E 357 + +--S 358 of 510 +d0269:= D(m0269,x) +--R +--R +--R +------------+ +--R (329) sec(b x + a)\|sec(b x + a) +--R Type: Expression Integer +--E 358 + +--S 359 of 510 +t0270:= sec(a+b*x)^(5/2) +--R +--R +--R 2 +------------+ +--R (330) sec(b x + a) \|sec(b x + a) +--R Type: Expression Integer +--E 359 + +--S 360 of 510 +r0270:= 2/3*(1/cos(a+b*x))^(1/2)*(cos(a+b*x)^(3/2)*EllipticF(1/2*a+1/2*b*x,2)+sin(a+b*x))/cos(a+b*x)/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 360 + +--S 361 of 510 +a0270:= integrate(t0270,x) +--R +--R +--R x +--R ++ 2 +-------------+ +--R (331) | sec(%H b + a) \|sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 361 + +--S 362 of 510 +m0270:= a0270-r0270 +--R +--R +--R x +--R ++ 2 +-------------+ +--R (332) | sec(%H b + a) \|sec(%H b + a) d%H - r0270 +--R ++ +--R Type: Expression Integer +--E 362 + +--S 363 of 510 +d0270:= D(m0270,x) +--R +--R +--R 2 +------------+ +--R (333) sec(b x + a) \|sec(b x + a) +--R Type: Expression Integer +--E 363 + +--S 364 of 510 +t0271:= 1/sec(a+b*x)^(1/2) +--R +--R +--R 1 +--R (334) --------------- +--R +------------+ +--R \|sec(b x + a) +--R Type: Expression Integer +--E 364 + +--S 365 of 510 +r0271:= 2*cos(a+b*x)^(1/2)*EllipticE(1/2*a+1/2*b*x,2)*sec(a+b*x)^(1/2)/b +--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 Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 365 + +--S 366 of 510 +a0271:= integrate(t0271,x) +--R +--R +--R x +--R ++ 1 +--R (335) | ---------------- d%H +--R ++ +-------------+ +--R \|sec(%H b + a) +--R Type: Union(Expression Integer,...) +--E 366 + +--S 367 of 510 +m0271:= a0271-r0271 +--R +--R +--R x +--R ++ 1 +--R (336) | ---------------- d%H - r0271 +--R ++ +-------------+ +--R \|sec(%H b + a) +--R Type: Expression Integer +--E 367 + +--S 368 of 510 +d0271:= D(m0271,x) +--R +--R +--R 1 +--R (337) --------------- +--R +------------+ +--R \|sec(b x + a) +--R Type: Expression Integer +--E 368 + +--S 369 of 510 +t0272:= 1/sec(a+b*x)^(3/2) +--R +--R +--R 1 +--R (338) --------------------------- +--R +------------+ +--R sec(b x + a)\|sec(b x + a) +--R Type: Expression Integer +--E 369 + +--S 370 of 510 +r0272:= 2/3*(EllipticF(1/2*a+1/2*b*x,2)+sin(a+b*x)*cos(a+b*x)^(1/2))/cos(a+b*x)^(1/2)/(1/cos(a+b*x))^(1/2)/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 370 + +--S 371 of 510 +a0272:= integrate(t0272,x) +--R +--R +--R x +--R ++ 1 +--R (339) | ----------------------------- d%H +--R ++ +-------------+ +--R sec(%H b + a)\|sec(%H b + a) +--R Type: Union(Expression Integer,...) +--E 371 + +--S 372 of 510 +m0272:= a0272-r0272 +--R +--R +--R x +--R ++ 1 +--R (340) | ----------------------------- d%H - r0272 +--R ++ +-------------+ +--R sec(%H b + a)\|sec(%H b + a) +--R Type: Expression Integer +--E 372 + +--S 373 of 510 +d0272:= D(m0272,x) +--R +--R +--R 1 +--R (341) --------------------------- +--R +------------+ +--R sec(b x + a)\|sec(b x + a) +--R Type: Expression Integer +--E 373 + +--S 374 of 510 +t0273:= 1/sec(a+b*x)^(5/2) +--R +--R +--R 1 +--R (342) ---------------------------- +--R 2 +------------+ +--R sec(b x + a) \|sec(b x + a) +--R Type: Expression Integer +--E 374 + +--S 375 of 510 +r0273:= 2/5*(3*EllipticE(1/2*a+1/2*b*x,2)+sin(a+b*x)*cos(a+b*x)^(3/2))/cos(a+b*x)^(1/2)/(1/cos(a+b*x))^(1/2)/b +--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 Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 375 + +--S 376 of 510 +a0273:= integrate(t0273,x) +--R +--R +--R x +--R ++ 1 +--R (343) | ------------------------------ d%H +--R ++ 2 +-------------+ +--R sec(%H b + a) \|sec(%H b + a) +--R Type: Union(Expression Integer,...) +--E 376 + +--S 377 of 510 +m0273:= a0273-r0273 +--R +--R +--R x +--R ++ 1 +--R (344) | ------------------------------ d%H - r0273 +--R ++ 2 +-------------+ +--R sec(%H b + a) \|sec(%H b + a) +--R Type: Expression Integer +--E 377 + +--S 378 of 510 +d0273:= D(m0273,x) +--R +--R +--R 1 +--R (345) ---------------------------- +--R 2 +------------+ +--R sec(b x + a) \|sec(b x + a) +--R Type: Expression Integer +--E 378 + +--S 379 of 510 +t0274:= (c*sec(a+b*x))^(1/2) +--R +--R +--R +--------------+ +--R (346) \|c sec(b x + a) +--R Type: Expression Integer +--E 379 + +--S 380 of 510 +r0274:= 2*cos(a+b*x)^(1/2)*EllipticF(1/2*a+1/2*b*x,2)*(c*sec(a+b*x))^(1/2)/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 380 + +--S 381 of 510 +a0274:= integrate(t0274,x) +--R +--R +--R x +--R ++ +---------------+ +--R (347) | \|c sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 381 + +--S 382 of 510 +m0274:= a0274-r0274 +--R +--R +--R x +--R ++ +---------------+ +--R (348) | \|c sec(%H b + a) d%H - r0274 +--R ++ +--R Type: Expression Integer +--E 382 + +--S 383 of 510 +d0274:= D(m0274,x) +--R +--R +--R +--------------+ +--R (349) \|c sec(b x + a) +--R Type: Expression Integer +--E 383 + +--S 384 of 510 +t0275:= (c*sec(a+b*x))^(3/2) +--R +--R +--R +--------------+ +--R (350) c sec(b x + a)\|c sec(b x + a) +--R Type: Expression Integer +--E 384 + +--S 385 of 510 +r0275:= -2*c^2*(cos(a+b*x)^(1/2)*EllipticE(1/2*a+1/2*b*x,2)-sin(a+b*x))/cos(a+b*x)/(c/cos(a+b*x))^(1/2)/b +--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 Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 385 + +--S 386 of 510 +a0275:= integrate(t0275,x) +--R +--R +--R x +--R ++ +---------------+ +--R (351) | c sec(%H b + a)\|c sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 386 + +--S 387 of 510 +m0275:= a0275-r0275 +--R +--R +--R x +--R ++ +---------------+ +--R (352) | c sec(%H b + a)\|c sec(%H b + a) d%H - r0275 +--R ++ +--R Type: Expression Integer +--E 387 + +--S 388 of 510 +d0275:= D(m0275,x) +--R +--R +--R +--------------+ +--R (353) c sec(b x + a)\|c sec(b x + a) +--R Type: Expression Integer +--E 388 + +--S 389 of 510 +t0276:= (c*sec(a+b*x))^(5/2) +--R +--R +--R 2 2 +--------------+ +--R (354) c sec(b x + a) \|c sec(b x + a) +--R Type: Expression Integer +--E 389 + +--S 390 of 510 +r0276:= 2/3*c^2*(c/cos(a+b*x))^(1/2)*(cos(a+b*x)^(3/2)*EllipticF(1/2*a+1/2*b*x,2)+sin(a+b*x))/cos(a+b*x)/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 390 + +--S 391 of 510 +a0276:= integrate(t0276,x) +--R +--R +--R x +--R ++ 2 2 +---------------+ +--R (355) | c sec(%H b + a) \|c sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 391 + +--S 392 of 510 +m0276:= a0276-r0276 +--R +--R +--R x +--R ++ 2 2 +---------------+ +--R (356) | c sec(%H b + a) \|c sec(%H b + a) d%H - r0276 +--R ++ +--R Type: Expression Integer +--E 392 + +--S 393 of 510 +d0276:= D(m0276,x) +--R +--R +--R 2 2 +--------------+ +--R (357) c sec(b x + a) \|c sec(b x + a) +--R Type: Expression Integer +--E 393 + +--S 394 of 510 +t0277:= 1/(c*sec(a+b*x))^(1/2) +--R +--R +--R 1 +--R (358) ----------------- +--R +--------------+ +--R \|c sec(b x + a) +--R Type: Expression Integer +--E 394 + +--S 395 of 510 +r0277:= 2*EllipticE(1/2*a+1/2*b*x,2)/b/cos(a+b*x)^(1/2)/(c*sec(a+b*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 Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 395 + +--S 396 of 510 +a0277:= integrate(t0277,x) +--R +--R +--R x +--R ++ 1 +--R (359) | ------------------ d%H +--R ++ +---------------+ +--R \|c sec(%H b + a) +--R Type: Union(Expression Integer,...) +--E 396 + +--S 397 of 510 +m0277:= a0277-r0277 +--R +--R +--R x +--R ++ 1 +--R (360) | ------------------ d%H - r0277 +--R ++ +---------------+ +--R \|c sec(%H b + a) +--R Type: Expression Integer +--E 397 + +--S 398 of 510 +d0277:= D(m0277,x) +--R +--R +--R 1 +--R (361) ----------------- +--R +--------------+ +--R \|c sec(b x + a) +--R Type: Expression Integer +--E 398 + +--S 399 of 510 +t0278:= 1/(c*sec(a+b*x))^(3/2) +--R +--R +--R 1 +--R (362) ------------------------------- +--R +--------------+ +--R c sec(b x + a)\|c sec(b x + a) +--R Type: Expression Integer +--E 399 + +--S 400 of 510 +r0278:= 2/3/c*(EllipticF(1/2*a+1/2*b*x,2)+sin(a+b*x)*cos(a+b*x)^(1/2))/cos(a+b*x)^(1/2)/b/(c/cos(a+b*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 400 + +--S 401 of 510 +a0278:= integrate(t0278,x) +--R +--R +--R x +--R ++ 1 +--R (363) | --------------------------------- d%H +--R ++ +---------------+ +--R c sec(%H b + a)\|c sec(%H b + a) +--R Type: Union(Expression Integer,...) +--E 401 + +--S 402 of 510 +m0278:= a0278-r0278 +--R +--R +--R x +--R ++ 1 +--R (364) | --------------------------------- d%H - r0278 +--R ++ +---------------+ +--R c sec(%H b + a)\|c sec(%H b + a) +--R Type: Expression Integer +--E 402 + +--S 403 of 510 +d0278:= D(m0278,x) +--R +--R +--R 1 +--R (365) ------------------------------- +--R +--------------+ +--R c sec(b x + a)\|c sec(b x + a) +--R Type: Expression Integer +--E 403 + +--S 404 of 510 +t0279:= 1/(c*sec(a+b*x))^(5/2) +--R +--R +--R 1 +--R (366) -------------------------------- +--R 2 2 +--------------+ +--R c sec(b x + a) \|c sec(b x + a) +--R Type: Expression Integer +--E 404 + +--S 405 of 510 +r0279:= 2/5/c^2*(3*EllipticE(1/2*a+1/2*b*x,2)+sin(a+b*x)*cos(a+b*x)^(3/2))/cos(a+b*x)^(1/2)/b/(c/cos(a+b*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 Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 405 + +--S 406 of 510 +a0279:= integrate(t0279,x) +--R +--R +--R x +--R ++ 1 +--R (367) | ---------------------------------- d%H +--R ++ 2 2 +---------------+ +--R c sec(%H b + a) \|c sec(%H b + a) +--R Type: Union(Expression Integer,...) +--E 406 + +--S 407 of 510 +m0279:= a0279-r0279 +--R +--R +--R x +--R ++ 1 +--R (368) | ---------------------------------- d%H - r0279 +--R ++ 2 2 +---------------+ +--R c sec(%H b + a) \|c sec(%H b + a) +--R Type: Expression Integer +--E 407 + +--S 408 of 510 +d0279:= D(m0279,x) +--R +--R +--R 1 +--R (369) -------------------------------- +--R 2 2 +--------------+ +--R c sec(b x + a) \|c sec(b x + a) +--R Type: Expression Integer +--E 408 + +--S 409 of 510 +t0280:= x*sec(a+b*x) +--R +--R +--R (370) x sec(b x + a) +--R Type: Expression Integer +--E 409 + +--S 410 of 510 +r0280:= %i*(-2*x*atan(exp(%i*(a+b*x)))*b+polylog(2,-%i*exp(%i*(a+b*x)))-polylog(2,%i*exp(%i*(a+b*x))))/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 410 + +--S 411 of 510 +a0280:= integrate(t0280,x) +--R +--R +--R x +--R ++ +--R (371) | %H sec(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 411 + +--S 412 of 510 +m0280:= a0280-r0280 +--R +--R +--R x +--R ++ +--R (372) | %H sec(%H b + a)d%H - r0280 +--R ++ +--R Type: Expression Integer +--E 412 + +--S 413 of 510 +d0280:= D(m0280,x) +--R +--R +--R (373) x sec(b x + a) +--R Type: Expression Integer +--E 413 + +--S 414 of 510 +t0281:= x^2*sec(a+b*x) +--R +--R +--R 2 +--R (374) x sec(b x + a) +--R Type: Expression Integer +--E 414 + +--S 415 of 510 +r0281:= -2*(%i*x^2*atan(exp(%i*(a+b*x)))*b^2-%i*x*polylog(2,-%i*exp(%i*(a+b*x)))*b+%i*x*polylog(2,%i*exp(%i*(a+b*x)))*b+polylog(3,-%i*exp(%i*(a+b*x)))-polylog(3,%i*exp(%i*(a+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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 415 + +--S 416 of 510 +a0281:= integrate(t0281,x) +--R +--R +--R x +--R ++ 2 +--R (375) | %H sec(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 416 + +--S 417 of 510 +m0281:= a0281-r0281 +--R +--R +--R x +--R ++ 2 +--R (376) | %H sec(%H b + a)d%H - r0281 +--R ++ +--R Type: Expression Integer +--E 417 + +--S 418 of 510 +d0281:= D(m0281,x) +--R +--R +--R 2 +--R (377) x sec(b x + a) +--R Type: Expression Integer +--E 418 + +--S 419 of 510 +t0282:= x^3*sec(a+b*x) +--R +--R +--R 3 +--R (378) x sec(b x + a) +--R Type: Expression Integer +--E 419 + +--S 420 of 510 +r0282:= -(2*%i*x^3*atan(exp(%i*(a+b*x)))*b^3-3*%i*x^2*polylog(2,-%i*exp(%i*(a+b*x)))*b^2+3*%i*x^2*polylog(2,%i*exp(%i*(a+b*x)))*b^2+6*x*polylog(3,-%i*exp(%i*(a+b*x)))*b-6*x*polylog(3,%i*exp(%i*(a+b*x)))*b+6*%i*polylog(4,-%i*exp(%i*(a+b*x)))-6*%i*polylog(4,%i*exp(%i*(a+b*x))))/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 420 + +--S 421 of 510 +a0282:= integrate(t0282,x) +--R +--R +--R x +--R ++ 3 +--R (379) | %H sec(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 421 + +--S 422 of 510 +m0282:= a0282-r0282 +--R +--R +--R x +--R ++ 3 +--R (380) | %H sec(%H b + a)d%H - r0282 +--R ++ +--R Type: Expression Integer +--E 422 + +--S 423 of 510 +d0282:= D(m0282,x) +--R +--R +--R 3 +--R (381) x sec(b x + a) +--R Type: Expression Integer +--E 423 + +--S 424 of 510 +t0283:= x^2*sec(a+b*x)^2 +--R +--R +--R 2 2 +--R (382) x sec(b x + a) +--R Type: Expression Integer +--E 424 + +--S 425 of 510 +r0283:= (-%i*x^2*b^2+2*x*log(1+exp(2*%i*(a+b*x)))*b-%i*polylog(2,-exp(2*%i*(a+b*x)))+x^2*tan(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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 425 + +--S 426 of 510 +a0283:= integrate(t0283,x) +--R +--R +--R x +--R ++ 2 2 +--R (383) | %H sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 426 + +--S 427 of 510 +m0283:= a0283-r0283 +--R +--R +--R x +--R ++ 2 2 +--R (384) | %H sec(%H b + a) d%H - r0283 +--R ++ +--R Type: Expression Integer +--E 427 + +--S 428 of 510 +d0283:= D(m0283,x) +--R +--R +--R 2 2 +--R (385) x sec(b x + a) +--R Type: Expression Integer +--E 428 + +--S 429 of 510 +t0284:= x^3*sec(a+b*x)^2 +--R +--R +--R 3 2 +--R (386) x sec(b x + a) +--R Type: Expression Integer +--E 429 + +--S 430 of 510 +r0284:= 1/2*(-2*%i*x^3*b^3+6*x^2*log(1+exp(2*%i*(a+b*x)))*b^2-6*%i*x*polylog(2,-exp(2*%i*(a+b*x)))*b+3*polylog(3,-exp(2*%i*(a+b*x)))+2*x^3*tan(a+b*x)*b^3)/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 430 + +--S 431 of 510 +a0284:= integrate(t0284,x) +--R +--R +--R x +--R ++ 3 2 +--R (387) | %H sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 431 + +--S 432 of 510 +m0284:= a0284-r0284 +--R +--R +--R x +--R ++ 3 2 +--R (388) | %H sec(%H b + a) d%H - r0284 +--R ++ +--R Type: Expression Integer +--E 432 + +--S 433 of 510 +d0284:= D(m0284,x) +--R +--R +--R 3 2 +--R (389) x sec(b x + a) +--R Type: Expression Integer +--E 433 + +--S 434 of 510 +t0285:= x*sec(a+b*x)^3 +--R +--R +--R 3 +--R (390) x sec(b x + a) +--R Type: Expression Integer +--E 434 + +--S 435 of 510 +r0285:= -%i*x*atan(exp(1)^(%i*b*x+%i*a))/b+1/2*%i*polylog(2,-%i*exp(1)^(%i*b*x+%i*a))/b^2-1/2*%i*polylog(2,%i*exp(1)^(%i*b*x+%i*a))/b^2-1/2*sec(a+b*x)/b^2+1/2*x*sec(a+b*x)*tan(a+b*x)/b +--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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 435 + +--S 436 of 510 +a0285:= integrate(t0285,x) +--R +--R +--R x +--R ++ 3 +--R (391) | %H sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 436 + +--S 437 of 510 +m0285:= a0285-r0285 +--R +--R +--R x +--R ++ 3 +--R (392) | %H sec(%H b + a) d%H - r0285 +--R ++ +--R Type: Expression Integer +--E 437 + +--S 438 of 510 +d0285:= D(m0285,x) +--R +--R +--R 3 +--R (393) x sec(b x + a) +--R Type: Expression Integer +--E 438 + +--S 439 of 510 +t0286:= x^2*sec(a+b*x)^3 +--R +--R +--R 2 3 +--R (394) x sec(b x + a) +--R Type: Expression Integer +--E 439 + +--S 440 of 510 +r0286:= -%i*x^2*atan(exp(1)^(%i*b*x+%i*a))/b+atanh(sin(a+b*x))/b^3+%i*x*polylog(2,-%i*exp(1)^(%i*b*x+%i*a))/b^2-%i*x*polylog(2,%i*exp(1)^(%i*b*x+%i*a))/b^2-polylog(3,-%i*exp(1)^(%i*b*x+%i*a))/b^3+polylog(3,%i*exp(1)^(%i*b*x+%i*a))/b^3-x*sec(a+b*x)/b^2+1/2*x^2*sec(a+b*x)*tan(a+b*x)/b +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 440 + +--S 441 of 510 +a0286:= integrate(t0286,x) +--R +--R +--R x +--R ++ 2 3 +--R (395) | %H sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 441 + +--S 442 of 510 +m0286:= a0286-r0286 +--R +--R +--R x +--R ++ 2 3 +--R (396) | %H sec(%H b + a) d%H - r0286 +--R ++ +--R Type: Expression Integer +--E 442 + +--S 443 of 510 +d0286:= D(m0286,x) +--R +--R +--R 2 3 +--R (397) x sec(b x + a) +--R Type: Expression Integer +--E 443 + +--S 444 of 510 +t0287:= (c+d*x)*sec(a+b*x) +--R +--R +--R (398) (d x + c)sec(b x + a) +--R Type: Expression Integer +--E 444 + +--S 445 of 510 +r0287:= -%i*(2*atan(exp(%i*(a+b*x)))*c*b+2*atan(exp(%i*(a+b*x)))*d*x*b-d*polylog(2,-%i*exp(%i*(a+b*x)))+d*polylog(2,%i*exp(%i*(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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 445 + +--S 446 of 510 +a0287:= integrate(t0287,x) +--R +--R +--R x +--R ++ +--R (399) | (%H d + c)sec(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 446 + +--S 447 of 510 +m0287:= a0287-r0287 +--R +--R +--R x +--R ++ +--R (400) | (%H d + c)sec(%H b + a)d%H - r0287 +--R ++ +--R Type: Expression Integer +--E 447 + +--S 448 of 510 +d0287:= D(m0287,x) +--R +--R +--R (401) (d x + c)sec(b x + a) +--R Type: Expression Integer +--E 448 + +--S 449 of 510 +t0288:= (c+d*x)^2*sec(a+b*x) +--R +--R +--R 2 2 2 +--R (402) (d x + 2c d x + c )sec(b x + a) +--R Type: Expression Integer +--E 449 + +--S 450 of 510 +r0288:= -2*%i*(c+d*x)^2*atan(exp(1)^(%i*b*x+%i*a))/b+2*%i*d*(c+d*x)*polylog(2,-%i*exp(1)^(%i*b*x+%i*a))/b^2-2*%i*d*(c+d*x)*polylog(2,%i*exp(1)^(%i*b*x+%i*a))/b^2-2*d^2*polylog(3,-%i*exp(1)^(%i*b*x+%i*a))/b^3+2*d^2*polylog(3,%i*exp(1)^(%i*b*x+%i*a))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 450 + +--S 451 of 510 +a0288:= integrate(t0288,x) +--R +--R +--R x +--R ++ 2 2 2 +--R (403) | (%H d + 2%H c d + c )sec(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 451 + +--S 452 of 510 +m0288:= a0288-r0288 +--R +--R +--R x +--R ++ 2 2 2 +--R (404) | (%H d + 2%H c d + c )sec(%H b + a)d%H - r0288 +--R ++ +--R Type: Expression Integer +--E 452 + +--S 453 of 510 +d0288:= D(m0288,x) +--R +--R +--R 2 2 2 +--R (405) (d x + 2c d x + c )sec(b x + a) +--R Type: Expression Integer +--E 453 + +--S 454 of 510 +t0289:= (c+d*x)^3*sec(a+b*x) +--R +--R +--R 3 3 2 2 2 3 +--R (406) (d x + 3c d x + 3c d x + c )sec(b x + a) +--R Type: Expression Integer +--E 454 + +--S 455 of 510 +r0289:= -2*%i*(c+d*x)^3*atan(exp(1)^(%i*b*x+%i*a))/b+3*%i*d*(c+d*x)^2*polylog(2,-%i*exp(1)^(%i*b*x+%i*a))/b^2-3*%i*d*(c+d*x)^2*polylog(2,%i*exp(1)^(%i*b*x+%i*a))/b^2-6*d^2*(c+d*x)*polylog(3,-%i*exp(1)^(%i*b*x+%i*a))/b^3+6*d^2*(c+d*x)*polylog(3,%i*exp(1)^(%i*b*x+%i*a))/b^3-6*%i*d^3*polylog(4,-%i*exp(1)^(%i*b*x+%i*a))/b^4+6*%i*d^3*polylog(4,%i*exp(1)^(%i*b*x+%i*a))/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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 455 + +--S 456 of 510 +a0289:= integrate(t0289,x) +--R +--R +--R x +--R ++ 3 3 2 2 2 3 +--R (407) | (%H d + 3%H c d + 3%H c d + c )sec(%H b + a)d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 456 + +--S 457 of 510 +m0289:= a0289-r0289 +--R +--R +--R x +--R ++ 3 3 2 2 2 3 +--R (408) | (%H d + 3%H c d + 3%H c d + c )sec(%H b + a)d%H - r0289 +--R ++ +--R Type: Expression Integer +--E 457 + +--S 458 of 510 +d0289:= D(m0289,x) +--R +--R +--R 3 3 2 2 2 3 +--R (409) (d x + 3c d x + 3c d x + c )sec(b x + a) +--R Type: Expression Integer +--E 458 + +--S 459 of 510 +t0290:= (c+d*x)^2*sec(a+b*x)^2 +--R +--R +--R 2 2 2 2 +--R (410) (d x + 2c d x + c )sec(b x + a) +--R Type: Expression Integer +--E 459 + +--S 460 of 510 +r0290:= -%i*(c+d*x)^2/b+2*d*(c+d*x)*log(1+exp(1)^(2*%i*a+2*%i*b*x))/b^2-%i*d^2*polylog(2,-exp(1)^(2*%i*a+2*%i*b*x))/b^3+(c+d*x)^2*tan(a+b*x)/b +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 460 + +--S 461 of 510 +a0290:= integrate(t0290,x) +--R +--R +--R x +--R ++ 2 2 2 2 +--R (411) | (%H d + 2%H c d + c )sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 461 + +--S 462 of 510 +m0290:= a0290-r0290 +--R +--R +--R x +--R ++ 2 2 2 2 +--R (412) | (%H d + 2%H c d + c )sec(%H b + a) d%H - r0290 +--R ++ +--R Type: Expression Integer +--E 462 + +--S 463 of 510 +d0290:= D(m0290,x) +--R +--R +--R 2 2 2 2 +--R (413) (d x + 2c d x + c )sec(b x + a) +--R Type: Expression Integer +--E 463 + +--S 464 of 510 +t0291:= (c+d*x)^3*sec(a+b*x)^2 +--R +--R +--R 3 3 2 2 2 3 2 +--R (414) (d x + 3c d x + 3c d x + c )sec(b x + a) +--R Type: Expression Integer +--E 464 + +--S 465 of 510 +r0291:= -%i*(c+d*x)^3/b+3*d*(c+d*x)^2*log(1+exp(1)^(2*%i*a+2*%i*b*x))/b^2-3*%i*d^2*(c+d*x)*polylog(2,-exp(1)^(2*%i*a+2*%i*b*x))/b^3+3/2*d^3*polylog(3,-exp(1)^(2*%i*a+2*%i*b*x))/b^4+(c+d*x)^3*tan(a+b*x)/b +--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 Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 465 + +--S 466 of 510 +a0291:= integrate(t0291,x) +--R +--R +--R x +--R ++ 3 3 2 2 2 3 2 +--R (415) | (%H d + 3%H c d + 3%H c d + c )sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 466 + +--S 467 of 510 +m0291:= a0291-r0291 +--R +--R +--R x +--R ++ 3 3 2 2 2 3 2 +--R (416) | (%H d + 3%H c d + 3%H c d + c )sec(%H b + a) d%H - r0291 +--R ++ +--R Type: Expression Integer +--E 467 + +--S 468 of 510 +d0291:= D(m0291,x) +--R +--R +--R 3 3 2 2 2 3 2 +--R (417) (d x + 3c d x + 3c d x + c )sec(b x + a) +--R Type: Expression Integer +--E 468 + +--S 469 of 510 +t0292:= (c+d*x)*sec(a+b*x)^3 +--R +--R +--R 3 +--R (418) (d x + c)sec(b x + a) +--R Type: Expression Integer +--E 469 + +--S 470 of 510 +r0292:= -%i*(c+d*x)*atan(exp(1)^(%i*b*x+%i*a))/b+1/2*%i*d*polylog(2,-%i*exp(1)^(%i*b*x+%i*a))/b^2-1/2*%i*d*polylog(2,%i*exp(1)^(%i*b*x+%i*a))/b^2-1/2*d*sec(a+b*x)/b^2+1/2*(c+d*x)*sec(a+b*x)*tan(a+b*x)/b +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 470 + +--S 471 of 510 +a0292:= integrate(t0292,x) +--R +--R +--R x +--R ++ 3 +--R (419) | (%H d + c)sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 471 + +--S 472 of 510 +m0292:= a0292-r0292 +--R +--R +--R x +--R ++ 3 +--R (420) | (%H d + c)sec(%H b + a) d%H - r0292 +--R ++ +--R Type: Expression Integer +--E 472 + +--S 473 of 510 +d0292:= D(m0292,x) +--R +--R +--R 3 +--R (421) (d x + c)sec(b x + a) +--R Type: Expression Integer +--E 473 + +--S 474 of 510 +t0293:= (c+d*x)^2*sec(a+b*x)^3 +--R +--R +--R 2 2 2 3 +--R (422) (d x + 2c d x + c )sec(b x + a) +--R Type: Expression Integer +--E 474 + +--S 475 of 510 +r0293:= -%i*(c+d*x)^2*atan(exp(1)^(%i*b*x+%i*a))/b+d^2*atanh(sin(a+b*x))/b^3+%i*d*(c+d*x)*polylog(2,-%i*exp(1)^(%i*b*x+%i*a))/b^2-%i*d*(c+d*x)*polylog(2,%i*exp(1)^(%i*b*x+%i*a))/b^2-d^2*polylog(3,-%i*exp(1)^(%i*b*x+%i*a))/b^3+d^2*polylog(3,%i*exp(1)^(%i*b*x+%i*a))/b^3-d*(c+d*x)*sec(a+b*x)/b^2+1/2*(c+d*x)^2*sec(a+b*x)*tan(a+b*x)/b +--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 Complex 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 475 + +--S 476 of 510 +a0293:= integrate(t0293,x) +--R +--R +--R x +--R ++ 2 2 2 3 +--R (423) | (%H d + 2%H c d + c )sec(%H b + a) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 476 + +--S 477 of 510 +m0293:= a0293-r0293 +--R +--R +--R x +--R ++ 2 2 2 3 +--R (424) | (%H d + 2%H c d + c )sec(%H b + a) d%H - r0293 +--R ++ +--R Type: Expression Integer +--E 477 + +--S 478 of 510 +d0293:= D(m0293,x) +--R +--R +--R 2 2 2 3 +--R (425) (d x + 2c d x + c )sec(b x + a) +--R Type: Expression Integer +--E 478 + +--S 479 of 510 +t0294:= (sec(x)^2)^(1/2) +--R +--R +--R +-------+ +--R | 2 +--R (426) \|sec(x) +--R Type: Expression Integer +--E 479 + +--S 480 of 510 +r0294:= asinh(tan(x)) +--R +--R +--R (427) asinh(tan(x)) +--R Type: Expression Integer +--E 480 + +--S 481 of 510 +a0294:= integrate(t0294,x) +--R +--R +--R sin(x) + cos(x) + 1 sin(x) - cos(x) - 1 +--R (428) - log(-------------------) + log(-------------------) +--R cos(x) + 1 cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 481 + +--S 482 of 510 +m0294:= a0294-r0294 +--R +--R +--R (429) +--R sin(x) + cos(x) + 1 sin(x) - cos(x) - 1 +--R - log(-------------------) + log(-------------------) - asinh(tan(x)) +--R cos(x) + 1 cos(x) + 1 +--R Type: Expression Integer +--E 482 + +--S 483 of 510 +d0294:= D(m0294,x) +--R +--R +--R (430) +--R +-----------+ +--R 2 2 | 2 +--R (2sin(x) + 2cos(x) + 2cos(x))\|tan(x) + 1 +--R + +--R 2 2 2 2 2 +--R (- sin(x) + cos(x) + 2cos(x) + 1)tan(x) - sin(x) + cos(x) + 2cos(x) +--R + +--R 1 +--R / +--R +-----------+ +--R 2 2 | 2 +--R (sin(x) - cos(x) - 2cos(x) - 1)\|tan(x) + 1 +--R Type: Expression Integer +--E 483 + +--S 484 of 510 +t0295:= (a*sec(x)^2)^(1/2) +--R +--R +--R +---------+ +--R | 2 +--R (431) \|a sec(x) +--R Type: Expression Integer +--E 484 + +--S 485 of 510 +r0295:= atanh(sin(x))*cos(x)*(a*sec(x)^2)^(1/2) +--R +--R +--R +---------+ +--R | 2 +--R (432) cos(x)atanh(sin(x))\|a sec(x) +--R Type: Expression Integer +--E 485 + +--S 486 of 510 +a0295:= integrate(t0295,x) +--R +--R +--R +---+ +-+ +--R +-+ sin(x) - cos(x) - 1 +---+ (cos(x) + 1)\|- a \|a +--R (433) [\|a log(-------------------),2\|- a atan(----------------------)] +--R sin(x) + cos(x) + 1 a sin(x) +--R Type: Union(List Expression Integer,...) +--E 486 + +--S 487 of 510 +m0295a:= a0295.1-r0295 +--R +--R +--R +---------+ +--R | 2 +-+ sin(x) - cos(x) - 1 +--R (434) - cos(x)atanh(sin(x))\|a sec(x) + \|a log(-------------------) +--R sin(x) + cos(x) + 1 +--R Type: Expression Integer +--E 487 + +--S 488 of 510 +d0295a:= D(m0295a,x) +--R +--R +--R (435) +--R 4 2 2 2 +-+ +--R (2sin(x) + (2cos(x) + 2cos(x) - 2)sin(x) - 2cos(x) - 2cos(x))\|a +--R * +--R +---------+ +--R | 2 +--R \|a sec(x) +--R + +--R 2 4 +--R - a cos(x)sec(x) sin(x) +--R + +--R 3 2 2 2 +--R (a cos(x) + 2a cos(x) + 2a cos(x))sec(x) sin(x) +--R + +--R 3 2 2 +--R (- a cos(x) - 2a cos(x) - a cos(x))sec(x) +--R * +--R tan(x) +--R + +--R 2 5 2 2 3 +--R a sec(x) sin(x) + (- a cos(x) - 2a cos(x) - 2a)sec(x) sin(x) +--R + +--R 2 2 +--R (a cos(x) + 2a cos(x) + a)sec(x) sin(x) +--R * +--R atanh(sin(x)) +--R + +--R 2 2 2 4 3 2 2 +--R a cos(x) sec(x) sin(x) + (- a cos(x) - 2a cos(x) - a cos(x) )sec(x) +--R / +--R 4 2 2 2 +--R (sin(x) + (- cos(x) - 2cos(x) - 2)sin(x) + cos(x) + 2cos(x) + 1) +--R * +--R +---------+ +--R | 2 +--R \|a sec(x) +--R Type: Expression Integer +--E 488 + +--S 489 of 510 +m0295b:= a0295.2-r0295 +--R +--R +--R (436) +--R +---------+ +---+ +-+ +--R | 2 +---+ (cos(x) + 1)\|- a \|a +--R - cos(x)atanh(sin(x))\|a sec(x) + 2\|- a atan(----------------------) +--R a sin(x) +--R Type: Expression Integer +--E 489 + +--S 490 of 510 +d0295b:= D(m0295b,x) +--R +--R +--R (437) +--R 4 2 2 2 +-+ +--R (2sin(x) + (2cos(x) + 2cos(x) - 2)sin(x) - 2cos(x) - 2cos(x))\|a +--R * +--R +---------+ +--R | 2 +--R \|a sec(x) +--R + +--R 2 4 +--R - a cos(x)sec(x) sin(x) +--R + +--R 3 2 2 2 +--R (a cos(x) + 2a cos(x) + 2a cos(x))sec(x) sin(x) +--R + +--R 3 2 2 +--R (- a cos(x) - 2a cos(x) - a cos(x))sec(x) +--R * +--R tan(x) +--R + +--R 2 5 2 2 3 +--R a sec(x) sin(x) + (- a cos(x) - 2a cos(x) - 2a)sec(x) sin(x) +--R + +--R 2 2 +--R (a cos(x) + 2a cos(x) + a)sec(x) sin(x) +--R * +--R atanh(sin(x)) +--R + +--R 2 2 2 4 3 2 2 +--R a cos(x) sec(x) sin(x) + (- a cos(x) - 2a cos(x) - a cos(x) )sec(x) +--R / +--R 4 2 2 2 +--R (sin(x) + (- cos(x) - 2cos(x) - 2)sin(x) + cos(x) + 2cos(x) + 1) +--R * +--R +---------+ +--R | 2 +--R \|a sec(x) +--R Type: Expression Integer +--E 490 + +--S 491 of 510 +t0296:= (a*sec(x)^3)^(1/2) +--R +--R +--R +---------+ +--R | 3 +--R (438) \|a sec(x) +--R Type: Expression Integer +--E 491 + +--S 492 of 510 +r0296:= -2*cos(x)*(a*sec(x)^3)^(1/2)*(cos(x)^(1/2)*EllipticE(1/2*x,2)-sin(x)) +--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 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 492 + +--S 493 of 510 +a0296:= integrate(t0296,x) +--R +--R +--R x +----------+ +--R ++ | 3 +--R (439) | \|a sec(%H) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 493 + +--S 494 of 510 +m0296:= a0296-r0296 +--R +--R +--R x +----------+ +--R ++ | 3 +--R (440) | \|a sec(%H) d%H - r0296 +--R ++ +--R Type: Expression Integer +--E 494 + +--S 495 of 510 +d0296:= D(m0296,x) +--R +--R +--R +---------+ +--R | 3 +--R (441) \|a sec(x) +--R Type: Expression Integer +--E 495 + +--S 496 of 510 +t0297:= (sec(x)^2)^(3/2) +--R +--R +--R +-------+ +--R 2 | 2 +--R (442) sec(x) \|sec(x) +--R Type: Expression Integer +--E 496 + +--S 497 of 510 +r0297:= 1/2*asinh(tan(x))+1/2*(sec(x)^2)^(1/2)*tan(x) +--R +--R +--R +-------+ +--R | 2 +--R tan(x)\|sec(x) + asinh(tan(x)) +--R (443) -------------------------------- +--R 2 +--R Type: Expression Integer +--E 497 + +--S 498 of 510 +a0297:= integrate(t0297,x) +--R +--R +--R (444) +--R 2 sin(x) + cos(x) + 1 2 sin(x) - cos(x) - 1 +--R - cos(x) log(-------------------) + cos(x) log(-------------------) - sin(x) +--R cos(x) + 1 cos(x) + 1 +--R ---------------------------------------------------------------------------- +--R 2 +--R 2cos(x) +--R Type: Union(Expression Integer,...) +--E 498 + +--S 499 of 510 +m0297:= a0297-r0297 +--R +--R +--R (445) +--R +-------+ +--R 2 | 2 2 sin(x) + cos(x) + 1 +--R - cos(x) tan(x)\|sec(x) - cos(x) log(-------------------) +--R cos(x) + 1 +--R + +--R 2 sin(x) - cos(x) - 1 2 +--R cos(x) log(-------------------) - cos(x) asinh(tan(x)) - sin(x) +--R cos(x) + 1 +--R / +--R 2 +--R 2cos(x) +--R Type: Expression Integer +--E 499 + +--S 500 of 510 +d0297:= D(m0297,x) +--R +--R +--R (446) +--R 4 3 2 2 5 +--R - 2sin(x) + (2cos(x) + cos(x) + 4cos(x) + 2)sin(x) + 2cos(x) +--R + +--R 4 3 2 +--R 3cos(x) + 2cos(x) + cos(x) +--R * +--R +-------+ +--R | 2 +--R \|sec(x) +--R + +--R 3 2 2 +--R - 2cos(x) sec(x) sin(x) +--R + +--R 5 4 3 2 +--R (2cos(x) + 4cos(x) + 2cos(x) )sec(x) +--R * +--R 2 +--R tan(x) +--R + +--R 3 2 2 5 4 3 2 +--R - cos(x) sec(x) sin(x) + (cos(x) + 2cos(x) + cos(x) )sec(x) +--R * +--R +-----------+ +--R | 2 +--R \|tan(x) + 1 +--R + +--R 3 2 5 4 3 2 +--R (- cos(x) sin(x) + cos(x) + 2cos(x) + cos(x) )tan(x) +--R + +--R 3 2 5 4 3 +--R - cos(x) sin(x) + cos(x) + 2cos(x) + cos(x) +--R * +--R +-------+ +--R | 2 +--R \|sec(x) +--R / +--R +-------+ +-----------+ +--R 3 2 5 4 3 | 2 | 2 +--R (2cos(x) sin(x) - 2cos(x) - 4cos(x) - 2cos(x) )\|sec(x) \|tan(x) + 1 +--R Type: Expression Integer +--E 500 + +--S 501 of 510 +t0298:= (a*sec(x)^2)^(3/2) +--R +--R +--R +---------+ +--R 2 | 2 +--R (447) a sec(x) \|a sec(x) +--R Type: Expression Integer +--E 501 + +--S 502 of 510 +r0298:= 1/2*a*cos(x)*(a*sec(x)^2)^(1/2)*(atanh(sin(x))+sec(x)*tan(x)) +--R +--R +--R +---------+ +--R | 2 +--R (a cos(x)atanh(sin(x)) + a cos(x)sec(x)tan(x))\|a sec(x) +--R (448) ---------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 502 + +--S 503 of 510 +a0298:= integrate(t0298,x) +--R +--R +--R 2 +-+ sin(x) - cos(x) - 1 +-+ +--R a cos(x) \|a log(-------------------) - a sin(x)\|a +--R sin(x) + cos(x) + 1 +--R (449) ---------------------------------------------------- +--R 2 +--R 2cos(x) +--R Type: Union(Expression Integer,...) +--E 503 + +--S 504 of 510 +m0298:= a0298-r0298 +--R +--R +--R (450) +--R +---------+ +--R 3 3 | 2 +--R (- a cos(x) atanh(sin(x)) - a cos(x) sec(x)tan(x))\|a sec(x) +--R + +--R 2 +-+ sin(x) - cos(x) - 1 +-+ +--R a cos(x) \|a log(-------------------) - a sin(x)\|a +--R sin(x) + cos(x) + 1 +--R / +--R 2 +--R 2cos(x) +--R Type: Expression Integer +--E 504 + +--S 505 of 510 +d0298:= D(m0298,x) +--R +--R +--R (451) +--R 6 3 2 4 +--R - 2a sin(x) + (2a cos(x) + a cos(x) + 4a cos(x) + 4a)sin(x) +--R + +--R 5 4 2 5 +--R (2a cos(x) + 3a cos(x) - 4a cos(x) - 2a)sin(x) - 2a cos(x) +--R + +--R 4 3 2 +--R - 3a cos(x) - 2a cos(x) - a cos(x) +--R * +--R +---------+ +--R +-+ | 2 +--R \|a \|a sec(x) +--R + +--R 2 4 2 4 +--R - a cos(x) sec(x) sin(x) +--R + +--R 2 6 2 5 2 4 2 2 +--R (a cos(x) + 2a cos(x) + 2a cos(x) )sec(x) sin(x) +--R + +--R 2 6 2 5 2 4 2 +--R (- a cos(x) - 2a cos(x) - a cos(x) )sec(x) +--R * +--R tan(x) +--R + +--R 2 3 2 5 +--R a cos(x) sec(x) sin(x) +--R + +--R 2 5 2 4 2 3 2 3 +--R (- a cos(x) - 2a cos(x) - 2a cos(x) )sec(x) sin(x) +--R + +--R 2 5 2 4 2 3 2 +--R (a cos(x) + 2a cos(x) + a cos(x) )sec(x) sin(x) +--R * +--R atanh(sin(x)) +--R + +--R 2 4 3 4 +--R - 3a cos(x) sec(x) sin(x) +--R + +--R 2 6 2 5 2 4 3 2 +--R (3a cos(x) + 6a cos(x) + 6a cos(x) )sec(x) sin(x) +--R + +--R 2 6 2 5 2 4 3 +--R (- 3a cos(x) - 6a cos(x) - 3a cos(x) )sec(x) +--R * +--R 2 +--R tan(x) +--R + +--R 2 3 3 5 +--R a cos(x) sec(x) sin(x) +--R + +--R 2 5 2 4 2 3 3 3 +--R (- a cos(x) - 2a cos(x) - 2a cos(x) )sec(x) sin(x) +--R + +--R 2 5 2 4 2 3 3 +--R (a cos(x) + 2a cos(x) + a cos(x) )sec(x) sin(x) +--R * +--R tan(x) +--R + +--R 2 4 3 4 +--R - a cos(x) sec(x) sin(x) +--R + +--R 2 6 2 5 2 4 3 2 5 2 2 +--R ((a cos(x) + 2a cos(x) + 2a cos(x) )sec(x) + a cos(x) sec(x) )sin(x) +--R + +--R 2 6 2 5 2 4 3 +--R (- a cos(x) - 2a cos(x) - a cos(x) )sec(x) +--R + +--R 2 7 2 6 2 5 2 +--R (- a cos(x) - 2a cos(x) - a cos(x) )sec(x) +--R / +--R 3 4 5 4 3 2 5 +--R 2cos(x) sin(x) + (- 2cos(x) - 4cos(x) - 4cos(x) )sin(x) + 2cos(x) +--R + +--R 4 3 +--R 4cos(x) + 2cos(x) +--R * +--R +---------+ +--R | 2 +--R \|a sec(x) +--R Type: Expression Integer +--E 505 + +--S 506 of 510 +t0299:= (a*sec(x)^3)^(3/2) +--R +--R +--R +---------+ +--R 3 | 3 +--R (452) a sec(x) \|a sec(x) +--R Type: Expression Integer +--E 506 + +--S 507 of 510 +r0299:= 2/21*a*cos(x)*(a*sec(x)^3)^(1/2)*(5*cos(x)^(1/2)*EllipticF(1/2*x,2)+5*tan(x)+3*sec(x)^2*tan(x)) +--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 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 507 + +--S 508 of 510 +a0299:= integrate(t0299,x) +--R +--R +--R x +----------+ +--R ++ 3 | 3 +--R (453) | a sec(%H) \|a sec(%H) d%H +--R ++ +--R Type: Union(Expression Integer,...) +--E 508 + +--S 509 of 510 +m0299:= a0299-r0299 +--R +--R +--R x +----------+ +--R ++ 3 | 3 +--R (454) | a sec(%H) \|a sec(%H) d%H - r0299 +--R ++ +--R Type: Expression Integer +--E 509 + +--S 510 of 510 +d0299:= D(m0299,x) +--R +--R +--R +---------+ +--R 3 | 3 +--R (455) a sec(x) \|a sec(x) +--R Type: Expression Integer +--E 510 + +)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}