diff --git a/changelog b/changelog index a4bab1a..ae6a4d7 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20110125 tpd src/axiom-website/patches.html 20110125.01.tpd.patch +20110125 tpd src/input/richlog000-099.input fix long lines +20110125 tpd src/input/richhyper400-499.input fix long lines 20110124 tpd src/axiom-website/patches.html 20110124.01.tpd.patch 20110124 tpd src/Makefile move to lisp tangle 20110124 tpd books/bookvol7.1 move to lisp tangle diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index ccc89fe..e5fc76c 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -3369,5 +3369,7 @@ src/input/fname.input fix failing test
books/Makefile, volumes 5,6,7 move to lisp tangle
20110124.01.tpd.patch books/bookvol7.1 move to lisp tangle
+20110125.01.tpd.patch +src/input/rich* fix long lines
diff --git a/src/input/richhyper400-499.input.pamphlet b/src/input/richhyper400-499.input.pamphlet index 481828b..97e4744 100644 --- a/src/input/richhyper400-499.input.pamphlet +++ b/src/input/richhyper400-499.input.pamphlet @@ -232,7 +232,9 @@ t0401:= 1/(a+b*sech(x))^2 --E 8 --S 9 of 526 -r0401:= x/a^2-2*b^3*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/a^2/(a^2-b^2)^(3/2)-4*b*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/a^2/(a^2-b^2)^(1/2)+b^2*sinh(x)/a/(a^2-b^2)/(b+a*cosh(x)) +r0401:= x/a^2-2*b^3*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/a^2/_ + (a^2-b^2)^(3/2)-4*b*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/_ + a^2/(a^2-b^2)^(1/2)+b^2*sinh(x)/a/(a^2-b^2)/(b+a*cosh(x)) --R --R --R (9) @@ -1204,7 +1206,13 @@ t0402:= 1/(a+b*sech(x))^3 --E 15 --S 16 of 526 -r0402:= x/a^3-6*b^3*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/(a^2-b^2)^(3/2)/a^3-6*b*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/a^3/(a^2-b^2)^(1/2)-b^3*(a^2+2*b^2)*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/(a^2-b^2)^(5/2)/a^3-1/2*b^3*sinh(x)/a^2/(a^2-b^2)/(b+a*cosh(x))^2+3/2*b^4*sinh(x)/a^2/(a^2-b^2)^2/(b+a*cosh(x))+3*b^2*sinh(x)/a^2/(a^2-b^2)/(b+a*cosh(x)) +r0402:= x/a^3-6*b^3*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/_ + (a^2-b^2)^(3/2)/a^3-6*b*atan((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/_ + a^3/(a^2-b^2)^(1/2)-b^3*(a^2+2*b^2)*atan((a-b)*tanh(1/2*x)/_ + (a^2-b^2)^(1/2))/(a^2-b^2)^(5/2)/a^3-1/2*b^3*_ + sinh(x)/a^2/(a^2-b^2)/(b+a*cosh(x))^2+3/2*b^4*_ + sinh(x)/a^2/(a^2-b^2)^2/(b+a*cosh(x))+3*_ + b^2*sinh(x)/a^2/(a^2-b^2)/(b+a*cosh(x)) --R --R --R (16) @@ -4989,7 +4997,10 @@ t0404:= 1/(a+b*sech(x)^2)^2 --E 29 --S 30 of 526 -r0404:= x/a^2-2*b^(1/2)*atanh(b^(1/2)*tanh(x)/(a+b)^(1/2))/a^2/(a+b)^(1/2)+1/2*b^(1/2)*(a+2*b)*atanh(b^(1/2)*tanh(x)/(a+b)^(1/2))/a^2/(a+b)^(3/2)-b*tanh(x)/a^2/(a+b*sech(x)^2)+1/2*b*(a+2*b)*tanh(x)/a^2/(a+b)/(a+b*sech(x)^2) +r0404:= x/a^2-2*b^(1/2)*atanh(b^(1/2)*tanh(x)/(a+b)^(1/2))/a^2/(a+b)^(1/2)+_ + 1/2*b^(1/2)*(a+2*b)*atanh(b^(1/2)*tanh(x)/(a+b)^(1/2))/a^2/_ + (a+b)^(3/2)-b*tanh(x)/a^2/(a+b*sech(x)^2)+1/2*b*(a+2*b)*_ + tanh(x)/a^2/(a+b)/(a+b*sech(x)^2) --R --R --R (30) @@ -8363,7 +8374,8 @@ t0408:= (-1-sech(x)^2)^(1/2) --E 51 --S 52 of 526 -r0408:= -atan(tanh(x)/(-2+tanh(x)^2)^(1/2))-atanh(coth(x)*(-2+tanh(x)^2)^(1/2)) +r0408:= -atan(tanh(x)/(-2+tanh(x)^2)^(1/2))-_ + atanh(coth(x)*(-2+tanh(x)^2)^(1/2)) --R --R --R +------------+ @@ -8638,7 +8650,8 @@ t0409:= (a+b*sech(x)^2)^(1/2) --E 56 --S 57 of 526 -r0409:= -b^(1/2)*atan(coth(x)*(a+b*sech(x)^2)^(1/2)/b^(1/2))+a^(1/2)*atanh(a^(1/2)*tanh(x)/(a+b*sech(x)^2)^(1/2)) +r0409:= -b^(1/2)*atan(coth(x)*(a+b*sech(x)^2)^(1/2)/b^(1/2))+_ + a^(1/2)*atanh(a^(1/2)*tanh(x)/(a+b*sech(x)^2)^(1/2)) --R --R --R +--------------+ @@ -10308,7 +10321,8 @@ t0415:= (1+sech(x)^2)^(3/2) --E 88 --S 89 of 526 -r0415:= 2*asin(1/2*2^(1/2)*tanh(x))+atanh(tanh(x)/(2-tanh(x)^2)^(1/2))+1/2*tanh(x)*(2-tanh(x)^2)^(1/2) +r0415:= 2*asin(1/2*2^(1/2)*tanh(x))+atanh(tanh(x)/(2-tanh(x)^2)^(1/2))+_ + 1/2*tanh(x)*(2-tanh(x)^2)^(1/2) --R --R --R (87) @@ -10999,7 +11013,9 @@ t0418:= (-1-sech(x)^2)^(3/2) --E 103 --S 104 of 526 -r0418:= atan(tanh(x)/(-2+tanh(x)^2)^(1/2))+2*atanh(coth(x)*(-2+tanh(x)^2)^(1/2))-1/2*tanh(x)*(-2+tanh(x)^2)^(1/2) +r0418:= atan(tanh(x)/(-2+tanh(x)^2)^(1/2))+_ + 2*atanh(coth(x)*(-2+tanh(x)^2)^(1/2))-_ + 1/2*tanh(x)*(-2+tanh(x)^2)^(1/2) --R --R --R (100) @@ -11667,7 +11683,10 @@ t0419:= (a+b*sech(x)^2)^(3/2) --E 108 --S 109 of 526 -r0419:= -3/2*a*b^(1/2)*atan(coth(x)*(a+b*sech(x)^2)^(1/2)/b^(1/2))-1/2*b^(3/2)*atan(coth(x)*(a+b*sech(x)^2)^(1/2)/b^(1/2))+a^(3/2)*atanh(a^(1/2)*tanh(x)/(a+b*sech(x)^2)^(1/2))+1/2*b*(a+b*sech(x)^2)^(1/2)*tanh(x) +r0419:= -3/2*a*b^(1/2)*atan(coth(x)*(a+b*sech(x)^2)^(1/2)/b^(1/2))-_ + 1/2*b^(3/2)*atan(coth(x)*(a+b*sech(x)^2)^(1/2)/b^(1/2))+_ + a^(3/2)*atanh(a^(1/2)*tanh(x)/(a+b*sech(x)^2)^(1/2))+_ + 1/2*b*(a+b*sech(x)^2)^(1/2)*tanh(x) --R --R --R (105) @@ -15444,7 +15463,9 @@ t0423:= x^2/sech(x)^(3/2)-1/3*x^2*sech(x)^(1/2) --E 130 --S 131 of 526 -r0423:= -8/9*x/sech(x)^(3/2)-16/27*%i*cosh(x)^(1/2)*EllipticF(1/2*%i*x,2)*sech(x)^(1/2)+16/27*sinh(x)/sech(x)^(1/2)+2/3*x^2*sinh(x)/sech(x)^(1/2) +r0423:= -8/9*x/sech(x)^(3/2)-16/27*%i*cosh(x)^(1/2)*_ + EllipticF(1/2*%i*x,2)*sech(x)^(1/2)+16/27*sinh(x)/sech(x)^(1/2)+_ + 2/3*x^2*sinh(x)/sech(x)^(1/2) --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue @@ -15549,7 +15570,8 @@ t0425:= csch(a+b*x)^(1/2) --E 140 --S 141 of 526 -r0425:= -2*%i*csch(a+b*x)^(1/2)*EllipticF(-1/4*%pi+1/2*%i*(a+b*x),2)*(%i*sinh(a+b*x))^(1/2)/b +r0425:= -2*%i*csch(a+b*x)^(1/2)*EllipticF(-1/4*%pi+1/2*%i*(a+b*x),2)*_ + (%i*sinh(a+b*x))^(1/2)/b --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue @@ -15595,7 +15617,9 @@ t0426:= csch(a+b*x)^(3/2) --E 145 --S 146 of 526 -r0426:= -2*cosh(a+b*x)*csch(a+b*x)^(1/2)/b-2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*x),2)/b/csch(a+b*x)^(1/2)/(%i*sinh(a+b*x))^(1/2) +r0426:= -2*cosh(a+b*x)*csch(a+b*x)^(1/2)/b-2*%i*_ + EllipticE(-1/4*%pi+1/2*%i*(a+b*x),2)/b/csch(a+b*x)^(1/2)/_ + (%i*sinh(a+b*x))^(1/2) --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue @@ -15641,7 +15665,8 @@ t0427:= csch(a+b*x)^(5/2) --E 150 --S 151 of 526 -r0427:= -2/3*cosh(a+b*x)*csch(a+b*x)^(3/2)/b+2/3*%i*csch(a+b*x)^(1/2)*EllipticF(-1/4*%pi+1/2*%i*(a+b*x),2)*(%i*sinh(a+b*x))^(1/2)/b +r0427:= -2/3*cosh(a+b*x)*csch(a+b*x)^(3/2)/b+2/3*%i*csch(a+b*x)^(1/2)*_ + EllipticF(-1/4*%pi+1/2*%i*(a+b*x),2)*(%i*sinh(a+b*x))^(1/2)/b --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue @@ -15689,7 +15714,8 @@ t0428:= 1/csch(a+b*x)^(1/2) --E 155 --S 156 of 526 -r0428:= -2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*x),2)/b/csch(a+b*x)^(1/2)/(%i*sinh(a+b*x))^(1/2) +r0428:= -2*%i*EllipticE(-1/4*%pi+1/2*%i*_ + (a+b*x),2)/b/csch(a+b*x)^(1/2)/(%i*sinh(a+b*x))^(1/2) --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue @@ -15738,7 +15764,8 @@ t0429:= 1/csch(a+b*x)^(3/2) --E 160 --S 161 of 526 -r0429:= 2/3*cosh(a+b*x)/b/csch(a+b*x)^(1/2)+2/3*%i*csch(a+b*x)^(1/2)*EllipticF(-1/4*%pi+1/2*%i*(a+b*x),2)*(%i*sinh(a+b*x))^(1/2)/b +r0429:= 2/3*cosh(a+b*x)/b/csch(a+b*x)^(1/2)+2/3*%i*csch(a+b*x)^(1/2)*_ + EllipticF(-1/4*%pi+1/2*%i*(a+b*x),2)*(%i*sinh(a+b*x))^(1/2)/b --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue @@ -15787,7 +15814,9 @@ t0430:= 1/csch(a+b*x)^(5/2) --E 165 --S 166 of 526 -r0430:= 2/5*cosh(a+b*x)/b/csch(a+b*x)^(3/2)+6/5*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*x),2)/b/csch(a+b*x)^(1/2)/(%i*sinh(a+b*x))^(1/2) +r0430:= 2/5*cosh(a+b*x)/b/csch(a+b*x)^(3/2)+6/5*%i*_ + EllipticE(-1/4*%pi+1/2*%i*(a+b*x),2)/b/csch(a+b*x)^(1/2)/_ + (%i*sinh(a+b*x))^(1/2) --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue @@ -15833,7 +15862,8 @@ t0431:= x*csch(a+b*x) --E 170 --S 171 of 526 -r0431:= -(2*x*atanh(exp(a+b*x))*b+polylog(2,-exp(a+b*x))-polylog(2,exp(a+b*x)))/b^2 +r0431:= -(2*x*atanh(exp(a+b*x))*b+polylog(2,-exp(a+b*x))-_ + polylog(2,exp(a+b*x)))/b^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -15879,7 +15909,9 @@ t0432:= x^2*csch(a+b*x) --E 175 --S 176 of 526 -r0432:= -2*(x^2*atanh(exp(a+b*x))*b^2+polylog(2,-exp(a+b*x))*x*b-polylog(2,exp(a+b*x))*x*b-polylog(3,-exp(a+b*x))+polylog(3,exp(a+b*x)))/b^3 +r0432:= -2*(x^2*atanh(exp(a+b*x))*b^2+polylog(2,-exp(a+b*x))*x*b-_ + polylog(2,exp(a+b*x))*x*b-polylog(3,-exp(a+b*x))+_ + polylog(3,exp(a+b*x)))/b^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -15925,7 +15957,10 @@ t0433:= x^3*csch(a+b*x) --E 180 --S 181 of 526 -r0433:= -(2*x^3*atanh(exp(a+b*x))*b^3+3*polylog(2,-exp(a+b*x))*x^2*b^2-3*polylog(2,exp(a+b*x))*x^2*b^2-6*polylog(3,-exp(a+b*x))*x*b+6*polylog(3,exp(a+b*x))*x*b+6*polylog(4,-exp(a+b*x))-6*polylog(4,exp(a+b*x)))/b^4 +r0433:= -(2*x^3*atanh(exp(a+b*x))*b^3+3*polylog(2,-exp(a+b*x))*x^2*b^2-_ + 3*polylog(2,exp(a+b*x))*x^2*b^2-6*polylog(3,-exp(a+b*x))*x*b+_ + 6*polylog(3,exp(a+b*x))*x*b+6*polylog(4,-exp(a+b*x))-_ + 6*polylog(4,exp(a+b*x)))/b^4 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16103,7 +16138,8 @@ t0435:= x^2*csch(a+b*x)^2 --E 190 --S 191 of 526 -r0435:= -(b^2*x^2+x^2*coth(a+b*x)*b^2-2*x*log(1-exp(2*a+2*b*x))*b-polylog(2,exp(2*a+2*b*x)))/b^3 +r0435:= -(b^2*x^2+x^2*coth(a+b*x)*b^2-2*x*log(1-exp(2*a+2*b*x))*b-_ + polylog(2,exp(2*a+2*b*x)))/b^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16149,7 +16185,8 @@ t0436:= x^3*csch(a+b*x)^2 --E 195 --S 196 of 526 -r0436:= -1/2*(2*b^3*x^3+2*x^3*coth(a+b*x)*b^3-6*x^2*log(1-exp(2*a+2*b*x))*b^2-6*x*polylog(2,exp(2*a+2*b*x))*b+3*polylog(3,exp(2*a+2*b*x)))/b^4 +r0436:= -1/2*(2*b^3*x^3+2*x^3*coth(a+b*x)*b^3-6*x^2*log(1-exp(2*a+2*b*x))*_ + b^2-6*x*polylog(2,exp(2*a+2*b*x))*b+3*polylog(3,exp(2*a+2*b*x)))/b^4 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16195,7 +16232,9 @@ t0437:= x*csch(a+b*x)^3 --E 200 --S 201 of 526 -r0437:= x*atanh(exp(1)^(a+b*x))/b-1/2*csch(a+b*x)/b^2-1/2*x*coth(a+b*x)*csch(a+b*x)/b+1/2*polylog(2,-exp(1)^(a+b*x))/b^2-1/2*polylog(2,exp(1)^(a+b*x))/b^2 +r0437:= x*atanh(exp(1)^(a+b*x))/b-1/2*csch(a+b*x)/b^2-_ + 1/2*x*coth(a+b*x)*csch(a+b*x)/b+1/2*polylog(2,-exp(1)^(a+b*x))/b^2-_ + 1/2*polylog(2,exp(1)^(a+b*x))/b^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16241,7 +16280,10 @@ t0438:= x^2*csch(a+b*x)^3 --E 205 --S 206 of 526 -r0438:= -acoth(cosh(a+b*x))/b^3+x^2*atanh(exp(1)^(a+b*x))/b-x*csch(a+b*x)/b^2-1/2*x^2*coth(a+b*x)*csch(a+b*x)/b+x*polylog(2,-exp(1)^(a+b*x))/b^2-x*polylog(2,exp(1)^(a+b*x))/b^2-polylog(3,-exp(1)^(a+b*x))/b^3+polylog(3,exp(1)^(a+b*x))/b^3 +r0438:= -acoth(cosh(a+b*x))/b^3+x^2*atanh(exp(1)^(a+b*x))/b-_ + x*csch(a+b*x)/b^2-1/2*x^2*coth(a+b*x)*csch(a+b*x)/b+_ + x*polylog(2,-exp(1)^(a+b*x))/b^2-x*polylog(2,exp(1)^(a+b*x))/b^2-_ + polylog(3,-exp(1)^(a+b*x))/b^3+polylog(3,exp(1)^(a+b*x))/b^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16286,7 +16328,8 @@ t0439:= (c+d*x)*csch(a+b*x) --E 210 --S 211 of 526 -r0439:= -(2*atanh(exp(a+b*x))*c*b+2*atanh(exp(a+b*x))*d*x*b+d*polylog(2,-exp(a+b*x))-d*polylog(2,exp(a+b*x)))/b^2 +r0439:= -(2*atanh(exp(a+b*x))*c*b+2*atanh(exp(a+b*x))*d*x*b+_ + d*polylog(2,-exp(a+b*x))-d*polylog(2,exp(a+b*x)))/b^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16332,7 +16375,11 @@ t0440:= (c+d*x)^2*csch(a+b*x) --E 215 --S 216 of 526 -r0440:= -2*(c+d*x)^2*atanh(exp(1)^(a+b*x))/b-2*d*(c+d*x)*polylog(2,-exp(1)^(a+b*x))/b^2+2*d*(c+d*x)*polylog(2,exp(1)^(a+b*x))/b^2+2*d^2*polylog(3,-exp(1)^(a+b*x))/b^3-2*d^2*polylog(3,exp(1)^(a+b*x))/b^3 +r0440:= -2*(c+d*x)^2*atanh(exp(1)^(a+b*x))/b-2*d*(c+d*x)*_ + polylog(2,-exp(1)^(a+b*x))/b^2+2*d*(c+d*x)*_ + polylog(2,exp(1)^(a+b*x))/b^2+2*d^2*_ + polylog(3,-exp(1)^(a+b*x))/b^3-2*d^2*_ + polylog(3,exp(1)^(a+b*x))/b^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16378,7 +16425,13 @@ t0441:= (c+d*x)^3*csch(a+b*x) --E 220 --S 221 of 526 -r0441:= -2*(c+d*x)^3*atanh(exp(1)^(a+b*x))/b-3*d*(c+d*x)^2*polylog(2,-exp(1)^(a+b*x))/b^2+3*d*(c+d*x)^2*polylog(2,exp(1)^(a+b*x))/b^2+6*d^2*(c+d*x)*polylog(3,-exp(1)^(a+b*x))/b^3-6*d^2*(c+d*x)*polylog(3,exp(1)^(a+b*x))/b^3-6*d^3*polylog(4,-exp(1)^(a+b*x))/b^4+6*d^3*polylog(4,exp(1)^(a+b*x))/b^4 +r0441:= -2*(c+d*x)^3*atanh(exp(1)^(a+b*x))/b-3*d*(c+d*x)^2*_ + polylog(2,-exp(1)^(a+b*x))/b^2+3*d*(c+d*x)^2*_ + polylog(2,exp(1)^(a+b*x))/b^2+6*d^2*(c+d*x)*_ + polylog(3,-exp(1)^(a+b*x))/b^3-6*d^2*(c+d*x)*_ + polylog(3,exp(1)^(a+b*x))/b^3-6*d^3*_ + polylog(4,-exp(1)^(a+b*x))/b^4+6*d^3*_ + polylog(4,exp(1)^(a+b*x))/b^4 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16583,7 +16636,8 @@ t0443:= (c+d*x)^2*csch(a+b*x)^2 --E 230 --S 231 of 526 -r0443:= -(c+d*x)^2/b-(c+d*x)^2*coth(a+b*x)/b+2*d*(c+d*x)*log(1-exp(1)^(2*a+2*b*x))/b^2+d^2*polylog(2,exp(1)^(2*a+2*b*x))/b^3 +r0443:= -(c+d*x)^2/b-(c+d*x)^2*coth(a+b*x)/b+2*d*(c+d*x)*_ + log(1-exp(1)^(2*a+2*b*x))/b^2+d^2*polylog(2,exp(1)^(2*a+2*b*x))/b^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16629,7 +16683,10 @@ t0444:= (c+d*x)^3*csch(a+b*x)^2 --E 235 --S 236 of 526 -r0444:= -(c+d*x)^3/b-(c+d*x)^3*coth(a+b*x)/b+3*d*(c+d*x)^2*log(1-exp(1)^(2*a+2*b*x))/b^2+3*d^2*(c+d*x)*polylog(2,exp(1)^(2*a+2*b*x))/b^3-3/2*d^3*polylog(3,exp(1)^(2*a+2*b*x))/b^4 +r0444:= -(c+d*x)^3/b-(c+d*x)^3*coth(a+b*x)/b+3*d*(c+d*x)^2*_ + log(1-exp(1)^(2*a+2*b*x))/b^2+3*d^2*(c+d*x)*_ + polylog(2,exp(1)^(2*a+2*b*x))/b^3-3/2*d^3*_ + polylog(3,exp(1)^(2*a+2*b*x))/b^4 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16675,7 +16732,10 @@ t0445:= (c+d*x)*csch(a+b*x)^3 --E 240 --S 241 of 526 -r0445:= (c+d*x)*atanh(exp(1)^(a+b*x))/b-1/2*d*csch(a+b*x)/b^2-1/2*(c+d*x)*coth(a+b*x)*csch(a+b*x)/b+1/2*d*polylog(2,-exp(1)^(a+b*x))/b^2-1/2*d*polylog(2,exp(1)^(a+b*x))/b^2 +r0445:= (c+d*x)*atanh(exp(1)^(a+b*x))/b-1/2*d*csch(a+b*x)/b^2-_ + 1/2*(c+d*x)*coth(a+b*x)*csch(a+b*x)/b+1/2*d*_ + polylog(2,-exp(1)^(a+b*x))/b^2-1/2*d*_ + polylog(2,exp(1)^(a+b*x))/b^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16721,7 +16781,12 @@ t0446:= (c+d*x)^2*csch(a+b*x)^3 --E 245 --S 246 of 526 -r0446:= -d^2*acoth(cosh(a+b*x))/b^3+(c+d*x)^2*atanh(exp(1)^(a+b*x))/b-d*(c+d*x)*csch(a+b*x)/b^2-1/2*(c+d*x)^2*coth(a+b*x)*csch(a+b*x)/b+d*(c+d*x)*polylog(2,-exp(1)^(a+b*x))/b^2-d*(c+d*x)*polylog(2,exp(1)^(a+b*x))/b^2-d^2*polylog(3,-exp(1)^(a+b*x))/b^3+d^2*polylog(3,exp(1)^(a+b*x))/b^3 +r0446:= -d^2*acoth(cosh(a+b*x))/b^3+(c+d*x)^2*atanh(exp(1)^(a+b*x))/b-_ + d*(c+d*x)*csch(a+b*x)/b^2-1/2*(c+d*x)^2*coth(a+b*x)*csch(a+b*x)/b+_ + d*(c+d*x)*polylog(2,-exp(1)^(a+b*x))/b^2-_ + d*(c+d*x)*polylog(2,exp(1)^(a+b*x))/b^2-_ + d^2*polylog(3,-exp(1)^(a+b*x))/b^3+_ + d^2*polylog(3,exp(1)^(a+b*x))/b^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue @@ -16908,7 +16973,8 @@ t0450:= (csch(x)^3)^(1/2) --E 265 --S 266 of 526 -r0450:= -2*(csch(x)^3)^(1/2)*(coth(x)+%i*EllipticE(-1/4*%pi+1/2*%i*x,2)/(%i*sinh(x))^(1/2))*sinh(x)^2 +r0450:= -2*(csch(x)^3)^(1/2)*(coth(x)+_ + %i*EllipticE(-1/4*%pi+1/2*%i*x,2)/(%i*sinh(x))^(1/2))*sinh(x)^2 --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue @@ -17156,7 +17222,8 @@ t0454:= (3+3*%i*csch(x))^(1/2) --E 285 --S 286 of 526 -r0454:= 2*3^(1/2)*atan((-1+%i*csch(x))^(1/2))*coth(x)/(-1+%i*csch(x))^(1/2)/(1+%i*csch(x))^(1/2) +r0454:= 2*3^(1/2)*atan((-1+%i*csch(x))^(1/2))*_ + coth(x)/(-1+%i*csch(x))^(1/2)/(1+%i*csch(x))^(1/2) --R --R --R +-+ +--------------+ @@ -17796,7 +17863,8 @@ t0455:= (3-3*%i*csch(x))^(1/2) --E 290 --S 291 of 526 -r0455:= 2*3^(1/2)*atan((-1-%i*csch(x))^(1/2))*coth(x)/(-1-%i*csch(x))^(1/2)/(1-%i*csch(x))^(1/2) +r0455:= 2*3^(1/2)*atan((-1-%i*csch(x))^(1/2))*_ + coth(x)/(-1-%i*csch(x))^(1/2)/(1-%i*csch(x))^(1/2) --R --R --R +-+ +----------------+ @@ -18442,7 +18510,8 @@ t0456:= (-3+3*%i*csch(x))^(1/2) --E 295 --S 296 of 526 -r0456:= -2*3^(1/2)*atan((-1-%i*csch(x))^(1/2))*coth(x)/(-1-%i*csch(x))^(1/2)/(-1+%i*csch(x))^(1/2) +r0456:= -2*3^(1/2)*atan((-1-%i*csch(x))^(1/2))*_ + coth(x)/(-1-%i*csch(x))^(1/2)/(-1+%i*csch(x))^(1/2) --R --R --R +-+ +----------------+ @@ -19088,7 +19157,8 @@ t0457:= (-3-3*%i*csch(x))^(1/2) --E 300 --S 301 of 526 -r0457:= -2*3^(1/2)*atan((-1+%i*csch(x))^(1/2))*coth(x)/(-1-%i*csch(x))^(1/2)/(-1+%i*csch(x))^(1/2) +r0457:= -2*3^(1/2)*atan((-1+%i*csch(x))^(1/2))*_ + coth(x)/(-1-%i*csch(x))^(1/2)/(-1+%i*csch(x))^(1/2) --R --R --R +-+ +--------------+ @@ -19737,7 +19807,8 @@ t0458:= (a+%i*a*csch(x))^(1/2) --E 305 --S 306 of 526 -r0458:= 2*a*atan((-1+%i*csch(x))^(1/2))*coth(x)/(-1+%i*csch(x))^(1/2)/(a+%i*a*csch(x))^(1/2) +r0458:= 2*a*atan((-1+%i*csch(x))^(1/2))*_ + coth(x)/(-1+%i*csch(x))^(1/2)/(a+%i*a*csch(x))^(1/2) --R --R --R +--------------+ @@ -20366,7 +20437,8 @@ t0459:= (a-%i*a*csch(x))^(1/2) --E 310 --S 311 of 526 -r0459:= 2*a*atan((-1-%i*csch(x))^(1/2))*coth(x)/(-1-%i*csch(x))^(1/2)/(a-%i*a*csch(x))^(1/2) +r0459:= 2*a*atan((-1-%i*csch(x))^(1/2))*_ + coth(x)/(-1-%i*csch(x))^(1/2)/(a-%i*a*csch(x))^(1/2) --R --R --R +----------------+ @@ -20999,7 +21071,9 @@ t0460:= 1/(a+%i*a*csch(x))^(1/2) --E 315 --S 316 of 526 -r0460:= -(2^(1/2)*atan(2^(1/2)*a^(1/2)/(-a+%i*a*csch(x))^(1/2))+2*atan((-a+%i*a*csch(x))^(1/2)/a^(1/2)))*(-a+%i*a*csch(x))^(1/2)*(a+%i*a*csch(x))^(1/2)*tanh(x)/a^(3/2) +r0460:= -(2^(1/2)*atan(2^(1/2)*a^(1/2)/(-a+%i*a*csch(x))^(1/2))+_ + 2*atan((-a+%i*a*csch(x))^(1/2)/a^(1/2)))*(-a+%i*a*csch(x))^(1/2)*_ + (a+%i*a*csch(x))^(1/2)*tanh(x)/a^(3/2) --R --R --R (229) @@ -21952,7 +22026,9 @@ t0461:= 1/(a-%i*a*csch(x))^(1/2) --E 322 --S 323 of 526 -r0461:= -(2^(1/2)*atan(2^(1/2)*a^(1/2)/(-a-%i*a*csch(x))^(1/2))+2*atan((-a-%i*a*csch(x))^(1/2)/a^(1/2)))*(-a-%i*a*csch(x))^(1/2)*(a-%i*a*csch(x))^(1/2)*tanh(x)/a^(3/2) +r0461:= -(2^(1/2)*atan(2^(1/2)*a^(1/2)/(-a-%i*a*csch(x))^(1/2))+_ + 2*atan((-a-%i*a*csch(x))^(1/2)/a^(1/2)))*(-a-%i*a*csch(x))^(1/2)*_ + (a-%i*a*csch(x))^(1/2)*tanh(x)/a^(3/2) --R --R --R (234) @@ -23154,7 +23230,9 @@ t0464:= 1/(a+b*csch(x))^2 --E 339 --S 340 of 526 -r0464:= x/a^2-2*b^3*atanh((a-b*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^2/(a^2+b^2)^(3/2)+4*b*atanh((a-b*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^2/(a^2+b^2)^(1/2)-b^2*cosh(x)/a/(a^2+b^2)/(b+a*sinh(x)) +r0464:= x/a^2-2*b^3*atanh((a-b*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^2/_ + (a^2+b^2)^(3/2)+4*b*atanh((a-b*tanh(1/2*x))/(a^2+b^2)^(1/2))/_ + a^2/(a^2+b^2)^(1/2)-b^2*cosh(x)/a/(a^2+b^2)/(b+a*sinh(x)) --R --R --R (249) @@ -23680,7 +23758,12 @@ t0465:= 1/(a+b*csch(x))^3 --E 344 --S 345 of 526 -r0465:= x/a^3-b^3*(a^2-2*b^2)*atanh((a-b*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^3/(a^2+b^2)^(5/2)-6*b^3*atanh((a-b*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^3/(a^2+b^2)^(3/2)+6*b*atanh((a-b*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^3/(a^2+b^2)^(1/2)+1/2*b^3*cosh(x)/a^2/(a^2+b^2)/(b+a*sinh(x))^2+3/2*b^4*cosh(x)/a^2/(a^2+b^2)^2/(b+a*sinh(x))-3*b^2*cosh(x)/a^2/(a^2+b^2)/(b+a*sinh(x)) +r0465:= x/a^3-b^3*(a^2-2*b^2)*atanh((a-b*tanh(1/2*x))/(a^2+b^2)^(1/2))/_ + a^3/(a^2+b^2)^(5/2)-6*b^3*atanh((a-b*tanh(1/2*x))/(a^2+b^2)^(1/2))/_ + a^3/(a^2+b^2)^(3/2)+6*b*atanh((a-b*tanh(1/2*x))/(a^2+b^2)^(1/2))/_ + a^3/(a^2+b^2)^(1/2)+1/2*b^3*cosh(x)/a^2/(a^2+b^2)/(b+a*sinh(x))^2+_ + 3/2*b^4*cosh(x)/a^2/(a^2+b^2)^2/(b+a*sinh(x))-_ + 3*b^2*cosh(x)/a^2/(a^2+b^2)/(b+a*sinh(x)) --R --R --R (254) @@ -25475,7 +25558,10 @@ t0467:= 1/(a+b*csch(x)^2)^2 --E 356 --S 357 of 526 -r0467:= x/a^2+1/2*(a-2*b)*b^(1/2)*atan((a-b)^(1/2)*tanh(x)/b^(1/2))/a^2/(a-b)^(3/2)-2*b^(1/2)*atan((a-b)^(1/2)*tanh(x)/b^(1/2))/a^2/(a-b)^(1/2)+1/2*b*tanh(x)/a/(a-b)/(b+(a-b)*tanh(x)^2) +r0467:= x/a^2+1/2*(a-2*b)*b^(1/2)*atan((a-b)^(1/2)*_ + tanh(x)/b^(1/2))/a^2/(a-b)^(3/2)-2*b^(1/2)*atan((a-b)^(1/2)*_ + tanh(x)/b^(1/2))/a^2/(a-b)^(1/2)+1/2*b*_ + tanh(x)/a/(a-b)/(b+(a-b)*tanh(x)^2) --R --R --R (266) @@ -27503,7 +27589,8 @@ t0470:= (-1+csch(x)^2)^(1/2) --E 373 --S 374 of 526 -r0470:= -atan(coth(x)/(-2+coth(x)^2)^(1/2))-atanh((-2+coth(x)^2)^(1/2)*tanh(x)) +r0470:= -atan(coth(x)/(-2+coth(x)^2)^(1/2))-_ + atanh((-2+coth(x)^2)^(1/2)*tanh(x)) --R --R --R +------------+ @@ -29752,7 +29839,8 @@ t0472:= (a+b*csch(x)^2)^(1/2) --E 383 --S 384 of 526 -r0472:= a^(1/2)*atanh(a^(1/2)*coth(x)/(a+b*csch(x)^2)^(1/2))-b^(1/2)*atanh((a+b*csch(x)^2)^(1/2)*tanh(x)/b^(1/2)) +r0472:= a^(1/2)*atanh(a^(1/2)*coth(x)/(a+b*csch(x)^2)^(1/2))-_ + b^(1/2)*atanh((a+b*csch(x)^2)^(1/2)*tanh(x)/b^(1/2)) --R --R --R +--------------+ @@ -31769,7 +31857,8 @@ t0479:= (1-csch(x)^2)^(3/2) --E 420 --S 421 of 526 -r0479:= 2*asin(1/2*2^(1/2)*coth(x))+atanh(coth(x)/(2-coth(x)^2)^(1/2))+1/2*coth(x)*(2-coth(x)^2)^(1/2) +r0479:= 2*asin(1/2*2^(1/2)*coth(x))+atanh(coth(x)/(2-coth(x)^2)^(1/2))+_ + 1/2*coth(x)*(2-coth(x)^2)^(1/2) --R --R --R (327) @@ -32416,7 +32505,8 @@ t0480:= (-1+csch(x)^2)^(3/2) --E 425 --S 426 of 526 -r0480:= atan(coth(x)/(-2+coth(x)^2)^(1/2))+2*atanh((-2+coth(x)^2)^(1/2)*tanh(x))-1/2*coth(x)*(-2+coth(x)^2)^(1/2) +r0480:= atan(coth(x)/(-2+coth(x)^2)^(1/2))+2*atanh((-2+coth(x)^2)^(1/2)*_ + tanh(x))-1/2*coth(x)*(-2+coth(x)^2)^(1/2) --R --R --R (331) @@ -32817,7 +32907,10 @@ t0482:= (a+b*csch(x)^2)^(3/2) --E 435 --S 436 of 526 -r0482:= a^(3/2)*atanh(a^(1/2)*coth(x)/(a+b*csch(x)^2)^(1/2))-3/2*a*b^(1/2)*atanh((a+b*csch(x)^2)^(1/2)*tanh(x)/b^(1/2))+1/2*b^(3/2)*atanh((a+b*csch(x)^2)^(1/2)*tanh(x)/b^(1/2))-1/2*b*coth(x)*(a+b*csch(x)^2)^(1/2) +r0482:= a^(3/2)*atanh(a^(1/2)*coth(x)/(a+b*csch(x)^2)^(1/2))-_ + 3/2*a*b^(1/2)*atanh((a+b*csch(x)^2)^(1/2)*tanh(x)/b^(1/2))+_ + 1/2*b^(3/2)*atanh((a+b*csch(x)^2)^(1/2)*tanh(x)/b^(1/2))-_ + 1/2*b*coth(x)*(a+b*csch(x)^2)^(1/2) --R --R --R (340) @@ -36526,7 +36619,8 @@ t0485:= x/csch(x)^(7/2)-5/21*x*csch(x)^(1/2) --E 452 --S 453 of 526 -r0485:= -2/441*(-88*sinh(x)+18*sinh(x)*cosh(x)^2+168*x*cosh(x)-63*x*cosh(x)^3)/(1/sinh(x))^(1/2) +r0485:= -2/441*(-88*sinh(x)+18*sinh(x)*cosh(x)^2+168*x*cosh(x)-_ + 63*x*cosh(x)^3)/(1/sinh(x))^(1/2) --R --R --R 2 3 @@ -36571,7 +36665,9 @@ t0486:= x^2/csch(x)^(3/2)+1/3*x^2*csch(x)^(1/2) --E 457 --S 458 of 526 -r0486:= 2/27*(12*x-12*x*cosh(x)^2+8*cosh(x)*sinh(x)+9*x^2*cosh(x)*sinh(x)+8*%i*EllipticF(-1/4*%pi+1/2*%i*x,2)*(%i*sinh(x))^(1/2))/sinh(x)/(1/sinh(x))^(1/2) +r0486:= 2/27*(12*x-12*x*cosh(x)^2+8*cosh(x)*sinh(x)+9*x^2*cosh(x)*sinh(x)+_ + 8*%i*EllipticF(-1/4*%pi+1/2*%i*x,2)*_ + (%i*sinh(x))^(1/2))/sinh(x)/(1/sinh(x))^(1/2) --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue @@ -36767,7 +36863,8 @@ t0488:= sinh(x)^2/(a+b*sinh(x)) --E 467 --S 468 of 526 -r0488:= -a*x/b^2-2*a^2*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^2/(a^2+b^2)^(1/2)+cosh(x)/b +r0488:= -a*x/b^2-2*a^2*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/_ + b^2/(a^2+b^2)^(1/2)+cosh(x)/b --R --R --R x @@ -36966,7 +37063,8 @@ t0489:= sinh(x)^3/(a+b*sinh(x)) --E 472 --S 473 of 526 -r0489:= a^2*x/b^3-1/2*x/b+2*a^3*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^3/(a^2+b^2)^(1/2)-a*cosh(x)/b^2+1/2*cosh(x)*sinh(x)/b +r0489:= a^2*x/b^3-1/2*x/b+2*a^3*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/_ + b^3/(a^2+b^2)^(1/2)-a*cosh(x)/b^2+1/2*cosh(x)*sinh(x)/b --R --R --R (364) @@ -37254,7 +37352,9 @@ t0490:= sinh(x)^4/(a+b*sinh(x)) --E 477 --S 478 of 526 -r0490:= -a^3*x/b^4+1/2*a*x/b^2-2*a^4*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^4/(a^2+b^2)^(1/2)+a^2*cosh(x)/b^3-cosh(x)/b+1/3*cosh(x)^3/b-1/2*a*cosh(x)*sinh(x)/b^2 +r0490:= -a^3*x/b^4+1/2*a*x/b^2-2*a^4*atanh((b-a*tanh(1/2*x))/_ + (a^2+b^2)^(1/2))/b^4/(a^2+b^2)^(1/2)+a^2*cosh(x)/b^3-_ + cosh(x)/b+1/3*cosh(x)^3/b-1/2*a*cosh(x)*sinh(x)/b^2 --R --R --R (369) @@ -37959,7 +38059,8 @@ t0494:= sinh(x)^4/(%i+sinh(x)) --E 497 --S 498 of 526 -r0494:= 3/2*%i*x-2*cosh(x)+1/3*cosh(x)^3-cosh(x)/(1-%i*sinh(x))-1/2*%i*cosh(x)*sinh(x) +r0494:= 3/2*%i*x-2*cosh(x)+1/3*cosh(x)^3-cosh(x)/(1-%i*sinh(x))-_ + 1/2*%i*cosh(x)*sinh(x) --R --R --R (389) @@ -38100,7 +38201,8 @@ t0495:= cosh(x)^2/(a+b*sinh(x)) --E 502 --S 503 of 526 -r0495:= -a*x/b^2-2*(a^2+b^2)^(1/2)*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^2+cosh(x)/b +r0495:= -a*x/b^2-2*(a^2+b^2)^(1/2)*atanh((b-a*tanh(1/2*x))/_ + (a^2+b^2)^(1/2))/b^2+cosh(x)/b --R --R --R x @@ -38398,7 +38500,10 @@ t0497:= cosh(x)^4/(a+b*sinh(x)) --E 512 --S 513 of 526 -r0497:= -a^3*x/b^4-3/2*a*x/b^2-2*(a^2+b^2)^(3/2)*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^4+a^2*cosh(x)/b^3+cosh(x)/b+1/3*cosh(x)^3/b-1/2*a*cosh(x)*sinh(x)/b^2 +r0497:= -a^3*x/b^4-3/2*a*x/b^2-2*(a^2+b^2)^(3/2)*_ + atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^4+_ + a^2*cosh(x)/b^3+cosh(x)/b+1/3*cosh(x)^3/b-_ + 1/2*a*cosh(x)*sinh(x)/b^2 --R --R --R (404) diff --git a/src/input/richlog000-099.input.pamphlet b/src/input/richlog000-099.input.pamphlet index f76e56f..686cec8 100644 --- a/src/input/richlog000-099.input.pamphlet +++ b/src/input/richlog000-099.input.pamphlet @@ -780,7 +780,8 @@ t0012:= x^m*log(a*x^n)^2 --E 61 --S 62 of 500 -r0012:= 2*n^2*x^(1+m)/(1+m)^3-2*n*x^(1+m)*log(a*x^n)/(1+m)^2+x^(1+m)*log(a*x^n)^2/(1+m) +r0012:= 2*n^2*x^(1+m)/(1+m)^3-2*n*x^(1+m)*log(a*x^n)/(1+m)^2+_ + x^(1+m)*log(a*x^n)^2/(1+m) --R --R --R (62) @@ -880,7 +881,8 @@ t0013:= x^m*log(a*x)^3 --E 66 --S 67 of 500 -r0013:= -6*x^(1+m)/(1+m)^4+6*x^(1+m)*log(a*x)/(1+m)^3-3*x^(1+m)*log(a*x)^2/(1+m)^2+x^(1+m)*log(a*x)^3/(1+m) +r0013:= -6*x^(1+m)/(1+m)^4+6*x^(1+m)*log(a*x)/(1+m)^3-_ + 3*x^(1+m)*log(a*x)^2/(1+m)^2+x^(1+m)*log(a*x)^3/(1+m) --R --R --R (67) @@ -1499,7 +1501,8 @@ t0020:= x^m*log(a*x^n)^3 --E 101 --S 102 of 500 -r0020:= -6*n^3*x^(1+m)/(1+m)^4+6*n^2*x^(1+m)*log(a*x^n)/(1+m)^3-3*n*x^(1+m)*log(a*x^n)^2/(1+m)^2+x^(1+m)*log(a*x^n)^3/(1+m) +r0020:= -6*n^3*x^(1+m)/(1+m)^4+6*n^2*x^(1+m)*log(a*x^n)/(1+m)^3-_ + 3*n*x^(1+m)*log(a*x^n)^2/(1+m)^2+x^(1+m)*log(a*x^n)^3/(1+m) --R --R --R (102) @@ -2412,7 +2415,8 @@ t0038:= x^m/log(a*x^n)^2 --E 191 --S 192 of 500 -r0038:= (1+m)*x^(1+m)*Ei((1+m)*log(a*x^n)/n)/((a*x^n)^((1+m)/n))/n^2-x^(1+m)/n/log(a*x^n) +r0038:= (1+m)*x^(1+m)*Ei((1+m)*log(a*x^n)/n)/((a*x^n)^((1+m)/n))/n^2-_ + x^(1+m)/n/log(a*x^n) --R --R --R m + 1 @@ -2461,7 +2465,8 @@ t0039:= x^m/log(a*x)^3 --E 196 --S 197 of 500 -r0039:= 1/2*(1+m)^2*x^(1+m)*(a*x)^(-1-m)*Ei((1+m)*log(a*x))-1/2*x^(1+m)/log(a*x)^2-1/2*(1+m)*x^(1+m)/log(a*x) +r0039:= 1/2*(1+m)^2*x^(1+m)*(a*x)^(-1-m)*Ei((1+m)*log(a*x))-_ + 1/2*x^(1+m)/log(a*x)^2-1/2*(1+m)*x^(1+m)/log(a*x) --R --R --R (163) @@ -2508,7 +2513,8 @@ t0040:= 1/log(a*x^n)^3 --E 201 --S 202 of 500 -r0040:= 1/2/n^3/log(a*x^n)^2*x*(Ei(log(a*x^n)/n)*(a*x^n)^(-1/n)*log(a*x^n)^2-n^2-n*log(a*x^n)) +r0040:= 1/2/n^3/log(a*x^n)^2*x*(Ei(log(a*x^n)/n)*_ + (a*x^n)^(-1/n)*log(a*x^n)^2-n^2-n*log(a*x^n)) --R --R --R 1 @@ -2554,7 +2560,8 @@ t0041:= x/log(a*x^n)^3 --E 206 --S 207 of 500 -r0041:= 1/2/n^3/log(a*x^n)^2*x^2*(4*Ei(2*log(a*x^n)/n)*(a*x^n)^(-2/n)*log(a*x^n)^2-n^2-2*n*log(a*x^n)) +r0041:= 1/2/n^3/log(a*x^n)^2*x^2*(4*Ei(2*log(a*x^n)/n)*(a*x^n)^(-2/n)*_ + log(a*x^n)^2-n^2-2*n*log(a*x^n)) --R --R --R 2 @@ -2601,7 +2608,8 @@ t0042:= x^2/log(a*x^n)^3 --E 211 --S 212 of 500 -r0042:= 1/2/n^3/log(a*x^n)^2*x^3*(9*Ei(3*log(a*x^n)/n)*(a*x^n)^(-3/n)*log(a*x^n)^2-n^2-3*n*log(a*x^n)) +r0042:= 1/2/n^3/log(a*x^n)^2*x^3*(9*Ei(3*log(a*x^n)/n)*(a*x^n)^(-3/n)*_ + log(a*x^n)^2-n^2-3*n*log(a*x^n)) --R --R --R 3 @@ -2648,7 +2656,8 @@ t0043:= x^3/log(a*x^n)^3 --E 216 --S 217 of 500 -r0043:= 1/2/n^3/log(a*x^n)^2*x^4*(16*Ei(4*log(a*x^n)/n)*(a*x^n)^(-4/n)*log(a*x^n)^2-n^2-4*n*log(a*x^n)) +r0043:= 1/2/n^3/log(a*x^n)^2*x^4*(16*Ei(4*log(a*x^n)/n)*(a*x^n)^(-4/n)*_ + log(a*x^n)^2-n^2-4*n*log(a*x^n)) --R --R --R 4 @@ -2694,7 +2703,8 @@ t0044:= 1/x^2/log(a*x^n)^3 --E 221 --S 222 of 500 -r0044:= 1/2/n^3/x/log(a*x^n)^2*((a*x^n)^(1/n)*Ei(-log(a*x^n)/n)*log(a*x^n)^2-n^2+n*log(a*x^n)) +r0044:= 1/2/n^3/x/log(a*x^n)^2*((a*x^n)^(1/n)*Ei(-log(a*x^n)/n)*_ + log(a*x^n)^2-n^2+n*log(a*x^n)) --R --R --R 1 @@ -2740,7 +2750,8 @@ t0045:= 1/x^3/log(a*x^n)^3 --E 226 --S 227 of 500 -r0045:= 2*(a*x^n)^(2/n)*Ei(-2*log(a*x^n)/n)/n^3/x^2-1/2/n/x^2/log(a*x^n)^2+1/n^2/x^2/log(a*x^n) +r0045:= 2*(a*x^n)^(2/n)*Ei(-2*log(a*x^n)/n)/n^3/x^2-_ + 1/2/n/x^2/log(a*x^n)^2+1/n^2/x^2/log(a*x^n) --R --R --R 2 @@ -2787,7 +2798,8 @@ t0046:= x^m/log(a*x^n)^3 --E 231 --S 232 of 500 -r0046:= 1/2*(1+m)^2*x^(1+m)*Ei((1+m)*log(a*x^n)/n)/((a*x^n)^((1+m)/n))/n^3-1/2*x^(1+m)/n/log(a*x^n)^2-1/2*(1+m)*x^(1+m)/n^2/log(a*x^n) +r0046:= 1/2*(1+m)^2*x^(1+m)*Ei((1+m)*log(a*x^n)/n)/((a*x^n)^((1+m)/n))/n^3-_ + 1/2*x^(1+m)/n/log(a*x^n)^2-1/2*(1+m)*x^(1+m)/n^2/log(a*x^n) --R --R --R (184) @@ -2839,7 +2851,9 @@ t0047:= log(a*x^n)^(3/2) --E 236 --S 237 of 500 -r0047:= 1/4*x*(3*(a*x^n)^(-1/n)*n^(3/2)*%pi^(1/2)*erfi(log(a*x^n)^(1/2)/n^(1/2))-6*n*log(a*x^n)^(1/2)+4*log(a*x^n)^(3/2)) +r0047:= 1/4*x*(3*(a*x^n)^(-1/n)*n^(3/2)*%pi^(1/2)*_ + erfi(log(a*x^n)^(1/2)/n^(1/2))-6*n*log(a*x^n)^(1/2)+_ + 4*log(a*x^n)^(3/2)) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -2885,7 +2899,9 @@ t0048:= x*log(a*x^n)^(3/2) --E 241 --S 242 of 500 -r0048:= 1/32*x^2*(3*(a*x^n)^(-2/n)*n^(3/2)*2^(1/2)*%pi^(1/2)*erfi(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))-12*n*log(a*x^n)^(1/2)+16*log(a*x^n)^(3/2)) +r0048:= 1/32*x^2*(3*(a*x^n)^(-2/n)*n^(3/2)*2^(1/2)*%pi^(1/2)*_ + erfi(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))-12*n*log(a*x^n)^(1/2)+_ + 16*log(a*x^n)^(3/2)) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -2931,7 +2947,9 @@ t0049:= x^2*log(a*x^n)^(3/2) --E 246 --S 247 of 500 -r0049:= 1/36*x^3*((a*x^n)^(-3/n)*n^(3/2)*3^(1/2)*%pi^(1/2)*erfi(3^(1/2)*log(a*x^n)^(1/2)/n^(1/2))-6*n*log(a*x^n)^(1/2)+12*log(a*x^n)^(3/2)) +r0049:= 1/36*x^3*((a*x^n)^(-3/n)*n^(3/2)*3^(1/2)*%pi^(1/2)*_ + erfi(3^(1/2)*log(a*x^n)^(1/2)/n^(1/2))-6*n*log(a*x^n)^(1/2)+_ + 12*log(a*x^n)^(3/2)) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -2977,7 +2995,9 @@ t0050:= x^3*log(a*x^n)^(3/2) --E 251 --S 252 of 500 -r0050:= 1/128*x^4*(3*(a*x^n)^(-4/n)*n^(3/2)*%pi^(1/2)*erfi(2*log(a*x^n)^(1/2)/n^(1/2))-12*n*log(a*x^n)^(1/2)+32*log(a*x^n)^(3/2)) +r0050:= 1/128*x^4*(3*(a*x^n)^(-4/n)*n^(3/2)*%pi^(1/2)*_ + erfi(2*log(a*x^n)^(1/2)/n^(1/2))-12*n*log(a*x^n)^(1/2)+_ + 32*log(a*x^n)^(3/2)) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3026,7 +3046,9 @@ t0051:= log(a*x^n)^(3/2)/x^2 --E 256 --S 257 of 500 -r0051:= -1/4*(-3*n^(3/2)*%pi^(1/2)*(a*x^n)^(1/n)*erf(log(a*x^n)^(1/2)/n^(1/2))+6*n*log(a*x^n)^(1/2)+4*log(a*x^n)^(3/2))/x +r0051:= -1/4*(-3*n^(3/2)*%pi^(1/2)*(a*x^n)^(1/n)*_ + erf(log(a*x^n)^(1/2)/n^(1/2))+6*n*log(a*x^n)^(1/2)+_ + 4*log(a*x^n)^(3/2))/x --R --R --R (191) @@ -3074,7 +3096,9 @@ t0052:= log(a*x^n)^(3/2)/x^3 --E 261 --S 262 of 500 -r0052:= -1/32*(-3*n^(3/2)*2^(1/2)*%pi^(1/2)*(a*x^n)^(2/n)*erf(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))+12*n*log(a*x^n)^(1/2)+16*log(a*x^n)^(3/2))/x^2 +r0052:= -1/32*(-3*n^(3/2)*2^(1/2)*%pi^(1/2)*(a*x^n)^(2/n)*_ + erf(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))+12*n*log(a*x^n)^(1/2)+_ + 16*log(a*x^n)^(3/2))/x^2 --R --R --R (193) @@ -3124,7 +3148,9 @@ t0053:= x^m*log(a*x^n)^(3/2) --E 266 --S 267 of 500 -r0053:= 3/4*n^(3/2)*%pi^(1/2)*x^(1+m)*erfi((1+m)^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^((1+m)/n))/(1+m)^(5/2)-3/2*n*x^(1+m)*log(a*x^n)^(1/2)/(1+m)^2+x^(1+m)*log(a*x^n)^(3/2)/(1+m) +r0053:= 3/4*n^(3/2)*%pi^(1/2)*x^(1+m)*erfi((1+m)^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^((1+m)/n))/(1+m)^(5/2)-_ + 3/2*n*x^(1+m)*log(a*x^n)^(1/2)/(1+m)^2+x^(1+m)*log(a*x^n)^(3/2)/(1+m) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3170,7 +3196,8 @@ t0054:= log(a*x^n)^(1/2) --E 271 --S 272 of 500 -r0054:= -1/2*n^(1/2)*%pi^(1/2)*x*erfi(log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^(1/n))+x*log(a*x^n)^(1/2) +r0054:= -1/2*n^(1/2)*%pi^(1/2)*x*erfi(log(a*x^n)^(1/2)/n^(1/2))/_ + ((a*x^n)^(1/n))+x*log(a*x^n)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3216,7 +3243,8 @@ t0055:= x*log(a*x^n)^(1/2) --E 276 --S 277 of 500 -r0055:= 1/8*x^2*(-(a*x^n)^(-2/n)*n^(1/2)*2^(1/2)*%pi^(1/2)*erfi(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))+4*log(a*x^n)^(1/2)) +r0055:= 1/8*x^2*(-(a*x^n)^(-2/n)*n^(1/2)*2^(1/2)*%pi^(1/2)*_ + erfi(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))+4*log(a*x^n)^(1/2)) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3262,7 +3290,8 @@ t0056:= x^2*log(a*x^n)^(1/2) --E 281 --S 282 of 500 -r0056:= 1/18*x^3*(-(a*x^n)^(-3/n)*n^(1/2)*3^(1/2)*%pi^(1/2)*erfi(3^(1/2)*log(a*x^n)^(1/2)/n^(1/2))+6*log(a*x^n)^(1/2)) +r0056:= 1/18*x^3*(-(a*x^n)^(-3/n)*n^(1/2)*3^(1/2)*%pi^(1/2)*erfi(3^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))+6*log(a*x^n)^(1/2)) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3308,7 +3337,8 @@ t0057:= x^3*log(a*x^n)^(1/2) --E 286 --S 287 of 500 -r0057:= 1/16*x^4*(-(a*x^n)^(-4/n)*n^(1/2)*%pi^(1/2)*erfi(2*log(a*x^n)^(1/2)/n^(1/2))+4*log(a*x^n)^(1/2)) +r0057:= 1/16*x^4*(-(a*x^n)^(-4/n)*n^(1/2)*%pi^(1/2)*_ + erfi(2*log(a*x^n)^(1/2)/n^(1/2))+4*log(a*x^n)^(1/2)) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3357,7 +3387,8 @@ t0058:= log(a*x^n)^(1/2)/x^2 --E 291 --S 292 of 500 -r0058:= -1/2*(-n^(1/2)*%pi^(1/2)*(a*x^n)^(1/n)*erf(log(a*x^n)^(1/2)/n^(1/2))+2*log(a*x^n)^(1/2))/x +r0058:= -1/2*(-n^(1/2)*%pi^(1/2)*(a*x^n)^(1/n)*_ + erf(log(a*x^n)^(1/2)/n^(1/2))+2*log(a*x^n)^(1/2))/x --R --R --R 1 +---------+ @@ -3404,7 +3435,8 @@ t0059:= log(a*x^n)^(1/2)/x^3 --E 296 --S 297 of 500 -r0059:= -1/8*(-n^(1/2)*2^(1/2)*%pi^(1/2)*(a*x^n)^(2/n)*erf(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))+4*log(a*x^n)^(1/2))/x^2 +r0059:= -1/8*(-n^(1/2)*2^(1/2)*%pi^(1/2)*(a*x^n)^(2/n)*_ + erf(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))+4*log(a*x^n)^(1/2))/x^2 --R --R --R 2 +---------+ @@ -3449,7 +3481,9 @@ t0060:= x^m*log(a*x^n)^(1/2) --E 301 --S 302 of 500 -r0060:= 1/2*x*x^m*(-(a*x^n)^(-(1+m)/n)*n^(1/2)*%pi^(1/2)*erfi((1+m)^(1/2)*log(a*x^n)^(1/2)/n^(1/2))+2*(1+m)^(1/2)*log(a*x^n)^(1/2))/(1+m)^(3/2) +r0060:= 1/2*x*x^m*(-(a*x^n)^(-(1+m)/n)*n^(1/2)*%pi^(1/2)*_ + erfi((1+m)^(1/2)*log(a*x^n)^(1/2)/n^(1/2))+2*(1+m)^(1/2)*_ + log(a*x^n)^(1/2))/(1+m)^(3/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3545,7 +3579,8 @@ t0062:= x/log(a*x^n)^(1/2) --E 311 --S 312 of 500 -r0062:= 1/2*2^(1/2)*%pi^(1/2)*x^2*erfi(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/n^(1/2)*(a*x^n)^(-2/n) +r0062:= 1/2*2^(1/2)*%pi^(1/2)*x^2*erfi(2^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/n^(1/2)*(a*x^n)^(-2/n) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3594,7 +3629,8 @@ t0063:= x^2/log(a*x^n)^(1/2) --E 316 --S 317 of 500 -r0063:= 1/3*3^(1/2)*%pi^(1/2)*x^3*erfi(3^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/n^(1/2)*(a*x^n)^(-3/n) +r0063:= 1/3*3^(1/2)*%pi^(1/2)*x^3*erfi(3^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/n^(1/2)*(a*x^n)^(-3/n) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3643,7 +3679,8 @@ t0064:= x^3/log(a*x^n)^(1/2) --E 321 --S 322 of 500 -r0064:= 1/2*%pi^(1/2)*x^4*erfi(2*log(a*x^n)^(1/2)/n^(1/2))/n^(1/2)*(a*x^n)^(-4/n) +r0064:= 1/2*%pi^(1/2)*x^4*erfi(2*log(a*x^n)^(1/2)/n^(1/2))/n^(1/2)*_ + (a*x^n)^(-4/n) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3738,7 +3775,8 @@ t0066:= 1/x^3/log(a*x^n)^(1/2) --E 331 --S 332 of 500 -r0066:= 1/2*2^(1/2)*%pi^(1/2)*(a*x^n)^(2/n)*erf(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/n^(1/2)/x^2 +r0066:= 1/2*2^(1/2)*%pi^(1/2)*(a*x^n)^(2/n)*erf(2^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/n^(1/2)/x^2 --R --R --R 2 +---------+ @@ -3786,7 +3824,8 @@ t0067:= x^m/log(a*x^n)^(1/2) --E 336 --S 337 of 500 -r0067:= %pi^(1/2)*x^(1+m)*erfi((1+m)^(1/2)*log(a*x^n)^(1/2)/n^(1/2))*(a*x^n)^(-(1+m)/n)/(1+m)^(1/2)/n^(1/2) +r0067:= %pi^(1/2)*x^(1+m)*erfi((1+m)^(1/2)*log(a*x^n)^(1/2)/n^(1/2))*_ + (a*x^n)^(-(1+m)/n)/(1+m)^(1/2)/n^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3834,7 +3873,8 @@ t0068:= 1/log(a*x^n)^(3/2) --E 341 --S 342 of 500 -r0068:= 2*%pi^(1/2)*x*erfi(log(a*x^n)^(1/2)/n^(1/2))/n^(3/2)/((a*x^n)^(1/n))-2*x/n/log(a*x^n)^(1/2) +r0068:= 2*%pi^(1/2)*x*erfi(log(a*x^n)^(1/2)/n^(1/2))/n^(3/2)/_ + ((a*x^n)^(1/n))-2*x/n/log(a*x^n)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3882,7 +3922,9 @@ t0069:= x/log(a*x^n)^(3/2) --E 346 --S 347 of 500 -r0069:= 2*2^(1/2)*%pi^(1/2)*x^2*erfi(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^(2/n))/n^(3/2)-2*x^2/n/log(a*x^n)^(1/2) +r0069:= 2*2^(1/2)*%pi^(1/2)*x^2*erfi(2^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^(2/n))/n^(3/2)-_ + 2*x^2/n/log(a*x^n)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3931,7 +3973,9 @@ t0070:= x^2/log(a*x^n)^(3/2) --E 351 --S 352 of 500 -r0070:= 2*3^(1/2)*%pi^(1/2)*x^3*erfi(3^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^(3/n))/n^(3/2)-2*x^3/n/log(a*x^n)^(1/2) +r0070:= 2*3^(1/2)*%pi^(1/2)*x^3*erfi(3^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^(3/n))/n^(3/2)-_ + 2*x^3/n/log(a*x^n)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -3980,7 +4024,8 @@ t0071:= x^3/log(a*x^n)^(3/2) --E 356 --S 357 of 500 -r0071:= 4*%pi^(1/2)*x^4*erfi(2*log(a*x^n)^(1/2)/n^(1/2))/n^(3/2)/((a*x^n)^(4/n))-2*x^4/n/log(a*x^n)^(1/2) +r0071:= 4*%pi^(1/2)*x^4*erfi(2*log(a*x^n)^(1/2)/n^(1/2))/_ + n^(3/2)/((a*x^n)^(4/n))-2*x^4/n/log(a*x^n)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -4028,7 +4073,8 @@ t0072:= 1/x^2/log(a*x^n)^(3/2) --E 361 --S 362 of 500 -r0072:= -2*%pi^(1/2)*(a*x^n)^(1/n)*erf(log(a*x^n)^(1/2)/n^(1/2))/n^(3/2)/x-2/n/x/log(a*x^n)^(1/2) +r0072:= -2*%pi^(1/2)*(a*x^n)^(1/n)*erf(log(a*x^n)^(1/2)/n^(1/2))/n^(3/2)/x-_ + 2/n/x/log(a*x^n)^(1/2) --R --R --R 1 +---------+ @@ -4076,7 +4122,8 @@ t0073:= 1/x^3/log(a*x^n)^(3/2) --E 366 --S 367 of 500 -r0073:= -2*2^(1/2)*%pi^(1/2)*(a*x^n)^(2/n)*erf(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/n^(3/2)/x^2-2/n/x^2/log(a*x^n)^(1/2) +r0073:= -2*2^(1/2)*%pi^(1/2)*(a*x^n)^(2/n)*erf(2^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/n^(3/2)/x^2-2/n/x^2/log(a*x^n)^(1/2) --R --R --R 2 +---------+ @@ -4125,7 +4172,9 @@ t0074:= x^m/log(a*x^n)^(3/2) --E 371 --S 372 of 500 -r0074:= 2*(1+m)^(1/2)*%pi^(1/2)*x^(1+m)*erfi((1+m)^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^((1+m)/n))/n^(3/2)-2*x^(1+m)/n/log(a*x^n)^(1/2) +r0074:= 2*(1+m)^(1/2)*%pi^(1/2)*x^(1+m)*erfi((1+m)^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^((1+m)/n))/n^(3/2)-_ + 2*x^(1+m)/n/log(a*x^n)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -4173,7 +4222,9 @@ t0075:= 1/log(a*x^n)^(5/2) --E 376 --S 377 of 500 -r0075:= 4/3*%pi^(1/2)*x*erfi(log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^(1/n))/n^(5/2)-2/3*x/n/log(a*x^n)^(3/2)-4/3*x/n^2/log(a*x^n)^(1/2) +r0075:= 4/3*%pi^(1/2)*x*erfi(log(a*x^n)^(1/2)/n^(1/2))/_ + ((a*x^n)^(1/n))/n^(5/2)-2/3*x/n/log(a*x^n)^(3/2)-_ + 4/3*x/n^2/log(a*x^n)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -4221,7 +4272,9 @@ t0076:= x/log(a*x^n)^(5/2) --E 381 --S 382 of 500 -r0076:= 8/3*2^(1/2)*%pi^(1/2)*x^2*erfi(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^(2/n))/n^(5/2)-2/3*x^2/n/log(a*x^n)^(3/2)-8/3*x^2/n^2/log(a*x^n)^(1/2) +r0076:= 8/3*2^(1/2)*%pi^(1/2)*x^2*erfi(2^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^(2/n))/n^(5/2)-_ + 2/3*x^2/n/log(a*x^n)^(3/2)-8/3*x^2/n^2/log(a*x^n)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -4270,7 +4323,9 @@ t0077:= x^2/log(a*x^n)^(5/2) --E 386 --S 387 of 500 -r0077:= 4*3^(1/2)*%pi^(1/2)*x^3*erfi(3^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^(3/n))/n^(5/2)-2/3*x^3/n/log(a*x^n)^(3/2)-4*x^3/n^2/log(a*x^n)^(1/2) +r0077:= 4*3^(1/2)*%pi^(1/2)*x^3*erfi(3^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^(3/n))/n^(5/2)-_ + 2/3*x^3/n/log(a*x^n)^(3/2)-4*x^3/n^2/log(a*x^n)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -4319,7 +4374,9 @@ t0078:= x^3/log(a*x^n)^(5/2) --E 391 --S 392 of 500 -r0078:= 32/3*%pi^(1/2)*x^4*erfi(2*log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^(4/n))/n^(5/2)-2/3*x^4/n/log(a*x^n)^(3/2)-16/3*x^4/n^2/log(a*x^n)^(1/2) +r0078:= 32/3*%pi^(1/2)*x^4*erfi(2*log(a*x^n)^(1/2)/n^(1/2))/_ + ((a*x^n)^(4/n))/n^(5/2)-2/3*x^4/n/log(a*x^n)^(3/2)-_ + 16/3*x^4/n^2/log(a*x^n)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -4367,7 +4424,8 @@ t0079:= 1/x^2/log(a*x^n)^(5/2) --E 396 --S 397 of 500 -r0079:= 4/3*%pi^(1/2)*(a*x^n)^(1/n)*erf(log(a*x^n)^(1/2)/n^(1/2))/n^(5/2)/x-2/3/n/x/log(a*x^n)^(3/2)+4/3/n^2/x/log(a*x^n)^(1/2) +r0079:= 4/3*%pi^(1/2)*(a*x^n)^(1/n)*erf(log(a*x^n)^(1/2)/n^(1/2))/n^(5/2)/x-_ + 2/3/n/x/log(a*x^n)^(3/2)+4/3/n^2/x/log(a*x^n)^(1/2) --R --R --R (227) @@ -4419,7 +4477,9 @@ t0080:= 1/x^3/log(a*x^n)^(5/2) --E 401 --S 402 of 500 -r0080:= 8/3*2^(1/2)*%pi^(1/2)*(a*x^n)^(2/n)*erf(2^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/n^(5/2)/x^2-2/3/n/x^2/log(a*x^n)^(3/2)+8/3/n^2/x^2/log(a*x^n)^(1/2) +r0080:= 8/3*2^(1/2)*%pi^(1/2)*(a*x^n)^(2/n)*erf(2^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/n^(5/2)/x^2-2/3/n/x^2/log(a*x^n)^(3/2)+_ + 8/3/n^2/x^2/log(a*x^n)^(1/2) --R --R --R (229) @@ -4472,7 +4532,9 @@ t0081:= x^m/log(a*x^n)^(5/2) --E 406 --S 407 of 500 -r0081:= 4/3*(1+m)^(3/2)*%pi^(1/2)*x^(1+m)*erfi((1+m)^(1/2)*log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^((1+m)/n))/n^(5/2)-2/3*x^(1+m)/n/log(a*x^n)^(3/2)-4/3*(1+m)*x^(1+m)/n^2/log(a*x^n)^(1/2) +r0081:= 4/3*(1+m)^(3/2)*%pi^(1/2)*x^(1+m)*erfi((1+m)^(1/2)*_ + log(a*x^n)^(1/2)/n^(1/2))/((a*x^n)^((1+m)/n))/n^(5/2)-_ + 2/3*x^(1+m)/n/log(a*x^n)^(3/2)-4/3*(1+m)*x^(1+m)/n^2/log(a*x^n)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue @@ -4759,7 +4821,8 @@ t0088:= x^m*log(a*x)^p --E 441 --S 442 of 500 -r0088:= x^m/a*(a*x)^(-m)*Gamma(p+1,-(1+m)*log(a*x))*log(a*x)^p*(-(1+m)*log(a*x))^(-p)/(1+m) +r0088:= x^m/a*(a*x)^(-m)*Gamma(p+1,-(1+m)*log(a*x))*_ + log(a*x)^p*(-(1+m)*log(a*x))^(-p)/(1+m) --R --R --R m - m - p p _ @@ -4798,7 +4861,8 @@ t0089:= log(a*x^n)^p --E 446 --S 447 of 500 -r0089:= x*Gamma(p+1,-log(a*x^n)/n)*log(a*x^n)^p/((a*x^n)^(1/n))/((-log(a*x^n)/n)^p) +r0089:= x*Gamma(p+1,-log(a*x^n)/n)*log(a*x^n)^p/((a*x^n)^(1/n))/_ + ((-log(a*x^n)/n)^p) --R --R --R n @@ -4843,7 +4907,8 @@ t0090:= x*log(a*x^n)^p --E 451 --S 452 of 500 -r0090:= 2^(-1-p)*x^2*Gamma(p+1,-2*log(a*x^n)/n)*log(a*x^n)^p*(a*x^n)^(-2/n)*(-log(a*x^n)/n)^(-p) +r0090:= 2^(-1-p)*x^2*Gamma(p+1,-2*log(a*x^n)/n)*_ + log(a*x^n)^p*(a*x^n)^(-2/n)*(-log(a*x^n)/n)^(-p) --R --R --R 2 @@ -4883,7 +4948,8 @@ t0091:= x^2*log(a*x^n)^p --E 456 --S 457 of 500 -r0091:= 3^(-1-p)*x^3*Gamma(p+1,-3*log(a*x^n)/n)*log(a*x^n)^p*(a*x^n)^(-3/n)*(-log(a*x^n)/n)^(-p) +r0091:= 3^(-1-p)*x^3*Gamma(p+1,-3*log(a*x^n)/n)*_ + log(a*x^n)^p*(a*x^n)^(-3/n)*(-log(a*x^n)/n)^(-p) --R --R --R 3 @@ -4923,7 +4989,8 @@ t0092:= x^3*log(a*x^n)^p --E 461 --S 462 of 500 -r0092:= 2^(-2*p-2)*x^4*Gamma(p+1,-4*log(a*x^n)/n)*log(a*x^n)^p*(a*x^n)^(-4/n)*(-log(a*x^n)/n)^(-p) +r0092:= 2^(-2*p-2)*x^4*Gamma(p+1,-4*log(a*x^n)/n)*_ + log(a*x^n)^p*(a*x^n)^(-4/n)*(-log(a*x^n)/n)^(-p) --R --R --R 4 @@ -4966,7 +5033,8 @@ t0093:= log(a*x^n)^p/x^2 --E 466 --S 467 of 500 -r0093:= -(a*x^n)^(1/n)*Gamma(p+1,log(a*x^n)/n)*log(a*x^n)^p/((log(a*x^n)/n)^p)/x +r0093:= -(a*x^n)^(1/n)*Gamma(p+1,log(a*x^n)/n)*_ + log(a*x^n)^p/((log(a*x^n)/n)^p)/x --R --R --R 1 @@ -5015,7 +5083,8 @@ t0094:= log(a*x^n)^p/x^3 --E 471 --S 472 of 500 -r0094:= -2^(-1-p)*(a*x^n)^(2/n)*Gamma(p+1,2*log(a*x^n)/n)*log(a*x^n)^p/((log(a*x^n)/n)^p)/x^2 +r0094:= -2^(-1-p)*(a*x^n)^(2/n)*Gamma(p+1,2*log(a*x^n)/n)*_ + log(a*x^n)^p/((log(a*x^n)/n)^p)/x^2 --R --R --R 2 @@ -5061,7 +5130,8 @@ t0095:= x^m*log(a*x^n)^p --E 476 --S 477 of 500 -r0095:= x^(1+m)*Gamma(p+1,-(1+m)*log(a*x^n)/n)*log(a*x^n)^p*(a*x^n)^(-(1+m)/n)*(-(1+m)*log(a*x^n)/n)^(-p)/(1+m) +r0095:= x^(1+m)*Gamma(p+1,-(1+m)*log(a*x^n)/n)*log(a*x^n)^p*_ + (a*x^n)^(-(1+m)/n)*(-(1+m)*log(a*x^n)/n)^(-p)/(1+m) --R --R --R (271) @@ -5109,7 +5179,8 @@ t0096:= (a+b*log(c*x^n))^3 --E 481 --S 482 of 500 -r0096:= 6*a*b^2*n^2*x-6*b^3*n^3*x+6*b^3*n^2*x*log(c*x^n)-3*b*n*x*(a+b*log(c*x^n))^2+x*(a+b*log(c*x^n))^3 +r0096:= 6*a*b^2*n^2*x-6*b^3*n^3*x+6*b^3*n^2*x*log(c*x^n)-_ + 3*b*n*x*(a+b*log(c*x^n))^2+x*(a+b*log(c*x^n))^3 --R --R --R (274) @@ -5260,7 +5331,8 @@ t0098:= 1/(a+b*log(c*x^n))^2 --E 491 --S 492 of 500 -r0098:= x*Ei((a+b*log(c*x^n))/b/n)/(exp(1)^(a/b/n))/((c*x^n)^(1/n))/b^2/n^2-x/b/n/(a+b*log(c*x^n)) +r0098:= x*Ei((a+b*log(c*x^n))/b/n)/(exp(1)^(a/b/n))/_ + ((c*x^n)^(1/n))/b^2/n^2-x/b/n/(a+b*log(c*x^n)) --R --R --R a 1 @@ -5308,7 +5380,9 @@ t0099:= 1/(a+b*log(c*x^n))^3 --E 496 --S 497 of 500 -r0099:= 1/2*x*Ei((a+b*log(c*x^n))/b/n)/(exp(1)^(a/b/n))/((c*x^n)^(1/n))/b^3/n^3-1/2*x/b/n/(a+b*log(c*x^n))^2-1/2*x/b^2/n^2/(a+b*log(c*x^n)) +r0099:= 1/2*x*Ei((a+b*log(c*x^n))/b/n)/(exp(1)^(a/b/n))/_ + ((c*x^n)^(1/n))/b^3/n^3-1/2*x/b/n/(a+b*log(c*x^n))^2-_ + 1/2*x/b^2/n^2/(a+b*log(c*x^n)) --R --R --R (285)