1,1,34,0,0.936514," ","integrate(cot(x)^4,x, algorithm=""giac"")","\frac{1}{24} \, \tan\left(\frac{1}{2} \, x\right)^{3} + x + \frac{15 \, \tan\left(\frac{1}{2} \, x\right)^{2} - 1}{24 \, \tan\left(\frac{1}{2} \, x\right)^{3}} - \frac{5}{8} \, \tan\left(\frac{1}{2} \, x\right)"," ",0,"1/24*tan(1/2*x)^3 + x + 1/24*(15*tan(1/2*x)^2 - 1)/tan(1/2*x)^3 - 5/8*tan(1/2*x)","B",0
2,1,15,0,0.804784," ","integrate(1/x^4/(x^2+1),x, algorithm=""giac"")","\frac{3 \, x^{2} - 1}{3 \, x^{3}} + \arctan\left(x\right)"," ",0,"1/3*(3*x^2 - 1)/x^3 + arctan(x)","A",0
3,1,11,0,0.942534," ","integrate((x^2+x)/x^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, x^{\frac{5}{2}} + \frac{2}{3} \, x^{\frac{3}{2}}"," ",0,"2/5*x^(5/2) + 2/3*x^(3/2)","A",0
4,1,2,0,1.004517," ","integrate(cos(x),x, algorithm=""giac"")","\sin\left(x\right)"," ",0,"sin(x)","A",0
5,1,6,0,1.058416," ","integrate(exp(x^2)*x,x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(x^{2}\right)}"," ",0,"1/2*e^(x^2)","A",0
6,1,6,0,1.039089," ","integrate(sec(x)^2*tan(x),x, algorithm=""giac"")","\frac{1}{2 \, \cos\left(x\right)^{2}}"," ",0,"1/2/cos(x)^2","A",0
7,1,9,0,1.040347," ","integrate(x*(x^2+1)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(x^2 + 1)^(3/2)","A",0
8,1,11,0,1.052268," ","integrate(exp(x)*sin(x),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\cos\left(x\right) - \sin\left(x\right)\right)} e^{x}"," ",0,"-1/2*(cos(x) - sin(x))*e^x","A",0
9,1,6,0,1.192480," ","integrate(cos(x)*csc(x)^2/sin(x)^2,x, algorithm=""giac"")","-\frac{1}{3 \, \sin\left(x\right)^{3}}"," ",0,"-1/3/sin(x)^3","A",0
10,1,3,0,0.995607," ","integrate(sin(exp(x)),x, algorithm=""giac"")","\operatorname{Si}\left(e^{x}\right)"," ",0,"sin_integral(e^x)","A",0
11,1,2,0,0.976068," ","integrate(sin(y)/y,y, algorithm=""giac"")","\operatorname{Si}\left(y\right)"," ",0,"sin_integral(y)","A",0
12,1,7,0,1.081893," ","integrate(exp(x)+sin(x),x, algorithm=""giac"")","-\cos\left(x\right) + e^{x}"," ",0,"-cos(x) + e^x","A",0
13,1,6,0,0.882010," ","integrate(exp(x^2)+2*exp(x^2)*x^2,x, algorithm=""giac"")","x e^{\left(x^{2}\right)}"," ",0,"x*e^(x^2)","A",0
14,1,19,0,0.930041," ","integrate((x+exp(x))^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} + 2 \, {\left(x - 1\right)} e^{x} + \frac{1}{2} \, e^{\left(2 \, x\right)}"," ",0,"1/3*x^3 + 2*(x - 1)*e^x + 1/2*e^(2*x)","A",0
15,1,16,0,1.081294," ","integrate(2*exp(x)+exp(2*x)+x^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, e^{\left(2 \, x\right)} + 2 \, e^{x}"," ",0,"1/3*x^3 + 1/2*e^(2*x) + 2*e^x","A",0
16,1,6,0,1.077165," ","integrate(cos(x)*sin(x),x, algorithm=""giac"")","-\frac{1}{2} \, \cos\left(x\right)^{2}"," ",0,"-1/2*cos(x)^2","A",0
17,1,6,0,0.914563," ","integrate(exp(x^2)*x,x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(x^{2}\right)}"," ",0,"1/2*e^(x^2)","A",0
18,1,9,0,1.100093," ","integrate(x*(x^2+1)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(x^2 + 1)^(3/2)","A",0
19,1,5,0,0.905374," ","integrate(exp(x)/(1+exp(x)),x, algorithm=""giac"")","\log\left(e^{x} + 1\right)"," ",0,"log(e^x + 1)","A",0
20,1,5,0,0.954319," ","integrate(x^(3/2),x, algorithm=""giac"")","\frac{2}{5} \, x^{\frac{5}{2}}"," ",0,"2/5*x^(5/2)","A",0
21,1,8,0,1.035677," ","integrate(cos(3+2*x),x, algorithm=""giac"")","\frac{1}{2} \, \sin\left(2 \, x + 3\right)"," ",0,"1/2*sin(2*x + 3)","A",0
22,1,7,0,1.098103," ","integrate(2*exp(2*x)*y*z,x, algorithm=""giac"")","y z e^{\left(2 \, x\right)}"," ",0,"y*z*e^(2*x)","A",0
23,1,7,0,1.185864," ","integrate(exp(x)*cos(exp(x))^2*sin(exp(x)),x, algorithm=""giac"")","-\frac{1}{3} \, \cos\left(e^{x}\right)^{3}"," ",0,"-1/3*cos(e^x)^3","A",0
24,1,15,0,0.960582," ","integrate(x*(1+x)^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, {\left(x + 1\right)}^{\frac{5}{2}} - \frac{2}{3} \, {\left(x + 1\right)}^{\frac{3}{2}}"," ",0,"2/5*(x + 1)^(5/2) - 2/3*(x + 1)^(3/2)","A",0
25,1,19,0,1.031472," ","integrate(1/(x^4-1),x, algorithm=""giac"")","-\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left({\left| x + 1 \right|}\right) + \frac{1}{4} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/2*arctan(x) - 1/4*log(abs(x + 1)) + 1/4*log(abs(x - 1))","B",0
26,1,13,0,1.108030," ","integrate(exp(x)/(2+3*exp(2*x)),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} e^{x}\right)"," ",0,"1/6*sqrt(6)*arctan(1/2*sqrt(6)*e^x)","A",0
27,1,19,0,0.942967," ","integrate(exp(2*x)/(A+B*exp(4*x)),x, algorithm=""giac"")","\frac{\arctan\left(\frac{B e^{\left(2 \, x\right)}}{\sqrt{A B}}\right)}{2 \, \sqrt{A B}}"," ",0,"1/2*arctan(B*e^(2*x)/sqrt(A*B))/sqrt(A*B)","A",0
28,1,8,0,1.101842," ","integrate(exp(1+x)/(1+exp(x)),x, algorithm=""giac"")","e \log\left(e^{x} + 1\right)"," ",0,"e*log(e^x + 1)","A",0
29,1,12,0,0.958091," ","integrate((10*E)^x,x, algorithm=""giac"")","\frac{\left(10 \, E\right)^{x}}{\log\left(10 \, E\right)}"," ",0,"(10*E)^x/log(10*E)","A",0
30,1,16,0,0.893472," ","integrate(x^3*sin(x^2),x, algorithm=""giac"")","-\frac{1}{2} \, x^{2} \cos\left(x^{2}\right) + \frac{1}{2} \, \sin\left(x^{2}\right)"," ",0,"-1/2*x^2*cos(x^2) + 1/2*sin(x^2)","A",0
31,1,40,0,0.894199," ","integrate(x^7/(x^12+1),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} - 1\right)}\right) + \frac{1}{24} \, \log\left(x^{8} - x^{4} + 1\right) - \frac{1}{12} \, \log\left(x^{4} + 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 - 1)) + 1/24*log(x^8 - x^4 + 1) - 1/12*log(x^4 + 1)","A",0
32,0,0,0,0.000000," ","integrate(x^(3*a)*sin(x^(2*a)),x, algorithm=""giac"")","\int x^{3 \, a} \sin\left(x^{2 \, a}\right)\,{d x}"," ",0,"integrate(x^(3*a)*sin(x^(2*a)), x)","F",0
33,1,16,0,1.269102," ","integrate(cos(x^(1/2)),x, algorithm=""giac"")","2 \, \sqrt{x} \sin\left(\sqrt{x}\right) + 2 \, \cos\left(\sqrt{x}\right)"," ",0,"2*sqrt(x)*sin(sqrt(x)) + 2*cos(sqrt(x))","A",0
34,1,15,0,0.928148," ","integrate(x*(1+x)^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, {\left(x + 1\right)}^{\frac{5}{2}} - \frac{2}{3} \, {\left(x + 1\right)}^{\frac{3}{2}}"," ",0,"2/5*(x + 1)^(5/2) - 2/3*(x + 1)^(3/2)","A",0
35,1,24,0,0.917428," ","integrate(1/(x^(1/3)+x^(1/2)),x, algorithm=""giac"")","2 \, \sqrt{x} - 3 \, x^{\frac{1}{3}} + 6 \, x^{\frac{1}{6}} - 6 \, \log\left(x^{\frac{1}{6}} + 1\right)"," ",0,"2*sqrt(x) - 3*x^(1/3) + 6*x^(1/6) - 6*log(x^(1/6) + 1)","A",0
36,1,61,0,1.055491," ","integrate(((1+x)/(3+2*x))^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{2} \log\left({\left| -2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} + 5 \, x + 3}\right)} - 5 \right|}\right) \mathrm{sgn}\left(2 \, x + 3\right) + \frac{1}{2} \, \sqrt{2 \, x^{2} + 5 \, x + 3} \mathrm{sgn}\left(2 \, x + 3\right)"," ",0,"1/8*sqrt(2)*log(abs(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 + 5*x + 3)) - 5))*sgn(2*x + 3) + 1/2*sqrt(2*x^2 + 5*x + 3)*sgn(2*x + 3)","B",0
37,1,29,0,0.928853," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""giac"")","\frac{{\left(4 \, x^{2} - 3\right)} \sqrt{-x^{2} + 1} x}{3 \, {\left(x^{2} - 1\right)}^{2}} + \arcsin\left(x\right)"," ",0,"1/3*(4*x^2 - 3)*sqrt(-x^2 + 1)*x/(x^2 - 1)^2 + arcsin(x)","A",0
38,1,90,0,1.155739," ","integrate(x^(1/2)*(1+x)^(5/2),x, algorithm=""giac"")","\frac{1}{192} \, {\left(2 \, {\left(4 \, {\left(6 \, x - 19\right)} {\left(x + 1\right)} + 163\right)} {\left(x + 1\right)} - 279\right)} \sqrt{x + 1} \sqrt{x} + \frac{1}{8} \, {\left(2 \, {\left(4 \, x - 9\right)} {\left(x + 1\right)} + 33\right)} \sqrt{x + 1} \sqrt{x} + \frac{3}{4} \, {\left(2 \, x - 3\right)} \sqrt{x + 1} \sqrt{x} + \sqrt{x + 1} \sqrt{x} + \frac{5}{64} \, \log\left(\sqrt{x + 1} - \sqrt{x}\right)"," ",0,"1/192*(2*(4*(6*x - 19)*(x + 1) + 163)*(x + 1) - 279)*sqrt(x + 1)*sqrt(x) + 1/8*(2*(4*x - 9)*(x + 1) + 33)*sqrt(x + 1)*sqrt(x) + 3/4*(2*x - 3)*sqrt(x + 1)*sqrt(x) + sqrt(x + 1)*sqrt(x) + 5/64*log(sqrt(x + 1) - sqrt(x))","A",0
39,1,29,0,1.069847," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""giac"")","\frac{{\left(4 \, x^{2} - 3\right)} \sqrt{-x^{2} + 1} x}{3 \, {\left(x^{2} - 1\right)}^{2}} + \arcsin\left(x\right)"," ",0,"1/3*(4*x^2 - 3)*sqrt(-x^2 + 1)*x/(x^2 - 1)^2 + arcsin(x)","A",0
40,-2,0,0,0.000000," ","integrate((-B^2*y^2+A^2+B^2)^(1/2)/(-y^2+1),y, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[2,0,0]%%%}+%%%{2,[0,2,2]%%%}+%%%{-4,[0,2,0]%%%},0,%%%{1,[0,4,4]%%%}] at parameters values [88,76,-66]Warning, choosing root of [1,0,%%%{-4,[2,0,0]%%%}+%%%{2,[0,2,2]%%%}+%%%{-4,[0,2,0]%%%},0,%%%{1,[0,4,4]%%%}] at parameters values [66,5,-23]-B^2*(1/2*pi*sign(y)-atan(B^2*y*((-1/2*(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B))/B^2/y)^2-1)/(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B))))/abs(B)+1/2*A*B^2*ln(abs(B*(-1/2*(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B))/B^2/y+2*B^2*y/(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B)))+2*A))/B/abs(B)-1/2*A*B^2*ln(abs(B*(-1/2*(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B))/B^2/y+2*B^2*y/(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B)))-2*A))/B/abs(B)","F(-2)",0
41,1,10,0,0.941334," ","integrate(sin(x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x - 1/4*sin(2*x)","A",0
42,0,0,0,0.000000," ","integrate((A^2+B^2*sin(x)^2)^(1/2)/sin(x),x, algorithm=""giac"")","\int \frac{\sqrt{B^{2} \sin\left(x\right)^{2} + A^{2}}}{\sin\left(x\right)}\,{d x}"," ",0,"integrate(sqrt(B^2*sin(x)^2 + A^2)/sin(x), x)","F",0
43,1,30,0,0.819932," ","integrate(1/(1+cos(x)),x, algorithm=""giac"")","-\frac{2 \, \tan\left(\frac{1}{2} \, x\right)}{{\left(x^{2} + 1\right)} {\left(\frac{x^{2} - 1}{x^{2} + 1} - 1\right)}}"," ",0,"-2*tan(1/2*x)/((x^2 + 1)*((x^2 - 1)/(x^2 + 1) - 1))","B",0
44,1,6,0,1.091764," ","integrate(exp(x)*x,x, algorithm=""giac"")","{\left(x - 1\right)} e^{x}"," ",0,"(x - 1)*e^x","A",0
45,1,30,0,0.916629," ","integrate(exp(x)*x/(1+x)^2,x, algorithm=""giac"")","-\frac{e^{\left(-{\left(x + 1\right)} {\left(\frac{1}{x + 1} - 1\right)}\right)}}{{\left(x + 1\right)} {\left(\frac{1}{x + 1} - 1\right)} - 1}"," ",0,"-e^(-(x + 1)*(1/(x + 1) - 1))/((x + 1)*(1/(x + 1) - 1) - 1)","B",0
46,1,6,0,0.827464," ","integrate(exp(x^2)*(2*x^2+1),x, algorithm=""giac"")","x e^{\left(x^{2}\right)}"," ",0,"x*e^(x^2)","A",0
47,1,9,0,1.047887," ","integrate(exp(x^2),x, algorithm=""giac"")","\frac{1}{2} i \, \sqrt{\pi} \operatorname{erf}\left(-i \, x\right)"," ",0,"1/2*I*sqrt(pi)*erf(-I*x)","C",0
48,1,2,0,1.012210," ","integrate(exp(x)/x,x, algorithm=""giac"")","{\rm Ei}\left(x\right)"," ",0,"Ei(x)","A",0
49,1,35,0,0.888638," ","integrate(x/(x^3+1),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{6} \, \log\left(x^{2} - x + 1\right) - \frac{1}{3} \, \log\left({\left| x + 1 \right|}\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/6*log(x^2 - x + 1) - 1/3*log(abs(x + 1))","A",0
50,1,67,0,1.013201," ","integrate(1/(x^6-1),x, algorithm=""giac"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{12} \, \log\left(x^{2} + x + 1\right) + \frac{1}{12} \, \log\left(x^{2} - x + 1\right) - \frac{1}{6} \, \log\left({\left| x + 1 \right|}\right) + \frac{1}{6} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/12*log(x^2 + x + 1) + 1/12*log(x^2 - x + 1) - 1/6*log(abs(x + 1)) + 1/6*log(abs(x - 1))","A",0
51,1,41,0,1.143307," ","integrate(1/(A^4-A^2*B^2+(-A^2+B^2)*x^2),x, algorithm=""giac"")","\frac{\log\left({\left| A + x \right|}\right)}{2 \, {\left(A^{3} - A B^{2}\right)}} - \frac{\log\left({\left| -A + x \right|}\right)}{2 \, {\left(A^{3} - A B^{2}\right)}}"," ",0,"1/2*log(abs(A + x))/(A^3 - A*B^2) - 1/2*log(abs(-A + x))/(A^3 - A*B^2)","A",0
52,1,13,0,1.066780," ","integrate(x*log(x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(x\right) - \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(x) - 1/4*x^2","A",0
53,1,38,0,1.087073," ","integrate(x^2*arcsin(x),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x^{2} - 1\right)} x \arcsin\left(x\right) + \frac{1}{3} \, x \arcsin\left(x\right) - \frac{1}{9} \, {\left(-x^{2} + 1\right)}^{\frac{3}{2}} + \frac{1}{3} \, \sqrt{-x^{2} + 1}"," ",0,"1/3*(x^2 - 1)*x*arcsin(x) + 1/3*x*arcsin(x) - 1/9*(-x^2 + 1)^(3/2) + 1/3*sqrt(-x^2 + 1)","A",0
54,1,7,0,1.049924," ","integrate(1/(x^2+2*x+1),x, algorithm=""giac"")","-\frac{1}{x + 1}"," ",0,"-1/(x + 1)","A",0
55,1,8,0,0.960713," ","integrate(log(x)/(1+log(x))^2,x, algorithm=""giac"")","\frac{x}{\log\left(x\right) + 1}"," ",0,"x/(log(x) + 1)","A",0
56,1,3,0,0.908635," ","integrate(1/x/(1+log(x)^2),x, algorithm=""giac"")","\arctan\left(\log\left(x\right)\right)"," ",0,"arctan(log(x))","A",0
57,1,3,0,0.892320," ","integrate(1/log(x),x, algorithm=""giac"")","{\rm Ei}\left(\log\left(x\right)\right)"," ",0,"Ei(log(x))","A",0
58,1,14,0,1.108251," ","integrate(x*(cos(x)+sin(x)),x, algorithm=""giac"")","-x \cos\left(x\right) + x \sin\left(x\right) + \cos\left(x\right) + \sin\left(x\right)"," ",0,"-x*cos(x) + x*sin(x) + cos(x) + sin(x)","A",0
59,1,11,0,0.987231," ","integrate((x+exp(x))/exp(x),x, algorithm=""giac"")","-{\left(x + 1\right)} e^{\left(-x\right)} + x"," ",0,"-(x + 1)*e^(-x) + x","A",0
60,1,24,0,0.951523," ","integrate((1+exp(x))^2*x,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} + \frac{1}{4} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x\right)} + 2 \, {\left(x - 1\right)} e^{x}"," ",0,"1/2*x^2 + 1/4*(2*x - 1)*e^(2*x) + 2*(x - 1)*e^x","A",0
61,1,7,0,0.920545," ","integrate(x*cos(x),x, algorithm=""giac"")","x \sin\left(x\right) + \cos\left(x\right)"," ",0,"x*sin(x) + cos(x)","A",0
62,1,16,0,0.915841," ","integrate(cos(x^(1/2)),x, algorithm=""giac"")","2 \, \sqrt{x} \sin\left(\sqrt{x}\right) + 2 \, \cos\left(\sqrt{x}\right)"," ",0,"2*sqrt(x)*sin(sqrt(x)) + 2*cos(sqrt(x))","A",0
63,1,7,0,1.007893," ","integrate(x*cos(x),x, algorithm=""giac"")","x \sin\left(x\right) + \cos\left(x\right)"," ",0,"x*sin(x) + cos(x)","A",0
64,1,22,0,0.945738," ","integrate(x*log(x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(x\right)^{2} - \frac{1}{2} \, x^{2} \log\left(x\right) + \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(x)^2 - 1/2*x^2*log(x) + 1/4*x^2","A",0
65,1,9,0,0.961735," ","integrate(cos(x)*(1+sin(x)^3),x, algorithm=""giac"")","\frac{1}{4} \, \sin\left(x\right)^{4} + \sin\left(x\right)"," ",0,"1/4*sin(x)^4 + sin(x)","A",0
66,1,3,0,0.914822," ","integrate(1/x/(1+log(x)^2),x, algorithm=""giac"")","\arctan\left(\log\left(x\right)\right)"," ",0,"arctan(log(x))","A",0
67,1,3,0,1.131592," ","integrate(1/(1+arcsin(x)^2)/(-x^2+1)^(1/2),x, algorithm=""giac"")","\arctan\left(\arcsin\left(x\right)\right)"," ",0,"arctan(arcsin(x))","A",0
68,1,21,0,1.082464," ","integrate(sin(x)/(cos(x)+sin(x)),x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{1}{4} \, \log\left(\tan\left(x\right)^{2} + 1\right) - \frac{1}{2} \, \log\left({\left| \tan\left(x\right) + 1 \right|}\right)"," ",0,"1/2*x + 1/4*log(tan(x)^2 + 1) - 1/2*log(abs(tan(x) + 1))","A",0
69,-2,0,0,0.000000," ","integrate(-(A^2+B^2*(-y^2+1))^(1/2)/(-y^2+1),y, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[2,0,0]%%%}+%%%{2,[0,2,2]%%%}+%%%{-4,[0,2,0]%%%},0,%%%{1,[0,4,4]%%%}] at parameters values [88,76,-66]Warning, choosing root of [1,0,%%%{-4,[2,0,0]%%%}+%%%{2,[0,2,2]%%%}+%%%{-4,[0,2,0]%%%},0,%%%{1,[0,4,4]%%%}] at parameters values [66,5,-23]B^2*(1/2*pi*sign(y)-atan(B^2*y*((-1/2*(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B))/B^2/y)^2-1)/(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B))))/abs(B)-1/2*A*B^2*ln(abs(B*(-1/2*(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B))/B^2/y+2*B^2*y/(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B)))+2*A))/B/abs(B)+1/2*A*B^2*ln(abs(B*(-1/2*(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B))/B^2/y+2*B^2*y/(-2*B*sqrt(A^2+B^2)-2*sqrt(-B^2*y^2+A^2+B^2)*abs(B)))-2*A))/B/abs(B)","F(-2)",0
70,1,83,0,1.231664," ","integrate((-A^2-B^2)*cos(z)^2/B/(1-(A^2+B^2)*sin(z)^2/B^2),z, algorithm=""giac"")","-\frac{{\left(\frac{A^{3} B \log\left({\left| A \tan\left(z\right) + B \right|}\right)}{A^{4} + A^{2} B^{2}} - \frac{A^{3} B \log\left({\left| A \tan\left(z\right) - B \right|}\right)}{A^{4} + A^{2} B^{2}} + \frac{2 \, B^{2} z}{A^{2} + B^{2}}\right)} {\left(A^{2} + B^{2}\right)}}{2 \, B}"," ",0,"-1/2*(A^3*B*log(abs(A*tan(z) + B))/(A^4 + A^2*B^2) - A^3*B*log(abs(A*tan(z) - B))/(A^4 + A^2*B^2) + 2*B^2*z/(A^2 + B^2))*(A^2 + B^2)/B","B",0
71,1,82,0,1.158451," ","integrate((-A^2-B^2)/B/(w^2+1)^2/(1-(A^2+B^2)*w^2/B^2/(w^2+1)),w, algorithm=""giac"")","-\frac{{\left(\frac{A^{3} B \log\left({\left| A w + B \right|}\right)}{A^{4} + A^{2} B^{2}} - \frac{A^{3} B \log\left({\left| A w - B \right|}\right)}{A^{4} + A^{2} B^{2}} + \frac{2 \, B^{2} \arctan\left(w\right)}{A^{2} + B^{2}}\right)} {\left(A^{2} + B^{2}\right)}}{2 \, B}"," ",0,"-1/2*(A^3*B*log(abs(A*w + B))/(A^4 + A^2*B^2) - A^3*B*log(abs(A*w - B))/(A^4 + A^2*B^2) + 2*B^2*arctan(w)/(A^2 + B^2))*(A^2 + B^2)/B","B",0
72,1,79,0,1.041492," ","integrate(-B*(A^2+B^2)/(w^2+1)/(-A^2*w^2+B^2),w, algorithm=""giac"")","-\frac{1}{2} \, {\left(\frac{A^{3} \log\left({\left| A w + B \right|}\right)}{A^{4} B + A^{2} B^{3}} - \frac{A^{3} \log\left({\left| A w - B \right|}\right)}{A^{4} B + A^{2} B^{3}} + \frac{2 \, \arctan\left(w\right)}{A^{2} + B^{2}}\right)} {\left(A^{2} + B^{2}\right)} B"," ",0,"-1/2*(A^3*log(abs(A*w + B))/(A^4*B + A^2*B^3) - A^3*log(abs(A*w - B))/(A^4*B + A^2*B^3) + 2*arctan(w)/(A^2 + B^2))*(A^2 + B^2)*B","B",0
73,1,29,0,1.050581," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""giac"")","\frac{{\left(4 \, x^{2} - 3\right)} \sqrt{-x^{2} + 1} x}{3 \, {\left(x^{2} - 1\right)}^{2}} + \arcsin\left(x\right)"," ",0,"1/3*(4*x^2 - 3)*sqrt(-x^2 + 1)*x/(x^2 - 1)^2 + arcsin(x)","A",0
74,1,12,0,0.988790," ","integrate(sin(y)^4/cos(y)^4,y, algorithm=""giac"")","\frac{1}{3} \, \tan\left(y\right)^{3} + y - \tan\left(y\right)"," ",0,"1/3*tan(y)^3 + y - tan(y)","A",0
75,1,11,0,0.888918," ","integrate(z^4/(z^2+1),z, algorithm=""giac"")","\frac{1}{3} \, z^{3} - z + \arctan\left(z\right)"," ",0,"1/3*z^3 - z + arctan(z)","A",0
76,1,6,0,1.078883," ","integrate(exp(x^2)*(2*x^2+1),x, algorithm=""giac"")","x e^{\left(x^{2}\right)}"," ",0,"x*e^(x^2)","A",0
77,1,30,0,1.057832," ","integrate(exp(x^2)*(2*x^6+5*x^4+x^3+4*x^2+1)/(x^2+1)^2,x, algorithm=""giac"")","\frac{2 \, x^{3} e^{\left(x^{2}\right)} + 2 \, x e^{\left(x^{2}\right)} + e^{\left(x^{2}\right)}}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/2*(2*x^3*e^(x^2) + 2*x*e^(x^2) + e^(x^2))/(x^2 + 1)","A",0
78,1,8,0,1.146786," ","integrate(exp(-1-x),x, algorithm=""giac"")","-e^{\left(-x - 1\right)}"," ",0,"-e^(-x - 1)","A",0
79,1,19,0,0.957694," ","integrate((1/x+x)*log(x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(x\right) - \frac{1}{4} \, x^{2} + \frac{1}{2} \, \log\left(x\right)^{2}"," ",0,"1/2*x^2*log(x) - 1/4*x^2 + 1/2*log(x)^2","A",0
80,1,6,0,1.057147," ","integrate(x/(x^4+1),x, algorithm=""giac"")","\frac{1}{2} \, \arctan\left(x^{2}\right)"," ",0,"1/2*arctan(x^2)","A",0
81,1,12,0,1.028922," ","integrate(x^5/(x^4+1),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} - \frac{1}{2} \, \arctan\left(x^{2}\right)"," ",0,"1/2*x^2 - 1/2*arctan(x^2)","A",0
82,1,16,0,0.919302," ","integrate(1/(1+tan(x)^2),x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{\tan\left(x\right)}{2 \, {\left(\tan\left(x\right)^{2} + 1\right)}}"," ",0,"1/2*x + 1/2*tan(x)/(tan(x)^2 + 1)","A",0
83,1,29,0,1.095533," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""giac"")","\frac{{\left(4 \, x^{2} - 3\right)} \sqrt{-x^{2} + 1} x}{3 \, {\left(x^{2} - 1\right)}^{2}} + \arcsin\left(x\right)"," ",0,"1/3*(4*x^2 - 3)*sqrt(-x^2 + 1)*x/(x^2 - 1)^2 + arcsin(x)","A",0
84,1,21,0,1.074169," ","integrate(-x^2/(-x^2+1)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{-x^{2} + 1} x}{x^{2} - 1} + \arcsin\left(x\right)"," ",0,"sqrt(-x^2 + 1)*x/(x^2 - 1) + arcsin(x)","A",0
85,1,11,0,0.948246," ","integrate(exp(x)*sin(x),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\cos\left(x\right) - \sin\left(x\right)\right)} e^{x}"," ",0,"-1/2*(cos(x) - sin(x))*e^x","A",0
86,1,3,0,0.951305," ","integrate(1/x,x, algorithm=""giac"")","\log\left({\left| x \right|}\right)"," ",0,"log(abs(x))","A",0
87,1,33,0,1.043043," ","integrate(sec(2*t)/(1+sec(t)^2+3*tan(t)),t, algorithm=""giac"")","-\frac{1}{2 \, {\left(\tan\left(t\right) + 1\right)}} + \frac{1}{3} \, \log\left({\left| \tan\left(t\right) + 2 \right|}\right) - \frac{1}{4} \, \log\left({\left| \tan\left(t\right) + 1 \right|}\right) - \frac{1}{12} \, \log\left({\left| \tan\left(t\right) - 1 \right|}\right)"," ",0,"-1/2/(tan(t) + 1) + 1/3*log(abs(tan(t) + 2)) - 1/4*log(abs(tan(t) + 1)) - 1/12*log(abs(tan(t) - 1))","A",0
88,1,16,0,0.909691," ","integrate(1/sec(x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{\tan\left(x\right)}{2 \, {\left(\tan\left(x\right)^{2} + 1\right)}}"," ",0,"1/2*x + 1/2*tan(x)/(tan(x)^2 + 1)","A",0
89,1,11,0,0.945516," ","integrate((x^2+1)/x^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, x^{\frac{5}{2}} + 2 \, \sqrt{x}"," ",0,"2/5*x^(5/2) + 2*sqrt(x)","A",0
90,1,27,0,1.022922," ","integrate(x/(x^2+2*x+5)^(1/2),x, algorithm=""giac"")","\sqrt{x^{2} + 2 \, x + 5} + \log\left(-x + \sqrt{x^{2} + 2 \, x + 5} - 1\right)"," ",0,"sqrt(x^2 + 2*x + 5) + log(-x + sqrt(x^2 + 2*x + 5) - 1)","A",0
91,1,6,0,0.988002," ","integrate(cos(x)*sin(x)^2,x, algorithm=""giac"")","\frac{1}{3} \, \sin\left(x\right)^{3}"," ",0,"1/3*sin(x)^3","A",0
92,1,5,0,0.969564," ","integrate(exp(x)/(1+exp(x)),x, algorithm=""giac"")","\log\left(e^{x} + 1\right)"," ",0,"log(e^x + 1)","A",0
93,1,10,0,0.980553," ","integrate(exp(2*x)/(1+exp(x)),x, algorithm=""giac"")","e^{x} - \log\left(e^{x} + 1\right)"," ",0,"e^x - log(e^x + 1)","A",0
94,1,8,0,0.873559," ","integrate(1/(1-cos(x)),x, algorithm=""giac"")","-\frac{1}{\tan\left(\frac{1}{2} \, x\right)}"," ",0,"-1/tan(1/2*x)","A",0
95,1,6,0,0.856922," ","integrate(sec(x)^2*tan(x),x, algorithm=""giac"")","\frac{1}{2 \, \cos\left(x\right)^{2}}"," ",0,"1/2/cos(x)^2","A",0
96,1,13,0,0.973735," ","integrate(x*log(x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(x\right) - \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(x) - 1/4*x^2","A",0
97,1,6,0,0.901783," ","integrate(cos(x)*sin(x),x, algorithm=""giac"")","-\frac{1}{2} \, \cos\left(x\right)^{2}"," ",0,"-1/2*cos(x)^2","A",0
98,1,20,0,1.026951," ","integrate((1+x)/(-x^2+2*x)^(1/2),x, algorithm=""giac"")","-\sqrt{-x^{2} + 2 \, x} + 2 \, \arcsin\left(x - 1\right)"," ",0,"-sqrt(-x^2 + 2*x) + 2*arcsin(x - 1)","A",0
99,1,13,0,0.976859," ","integrate(2*exp(x)/(2+3*exp(2*x)),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} e^{x}\right)"," ",0,"1/3*sqrt(6)*arctan(1/2*sqrt(6)*e^x)","A",0
100,1,29,0,0.905052," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""giac"")","\frac{{\left(4 \, x^{2} - 3\right)} \sqrt{-x^{2} + 1} x}{3 \, {\left(x^{2} - 1\right)}^{2}} + \arcsin\left(x\right)"," ",0,"1/3*(4*x^2 - 3)*sqrt(-x^2 + 1)*x/(x^2 - 1)^2 + arcsin(x)","A",0
101,1,14,0,0.920518," ","integrate(exp(6*x)/(1+exp(4*x)),x, algorithm=""giac"")","-\frac{1}{2} \, \arctan\left(e^{\left(2 \, x\right)}\right) + \frac{1}{2} \, e^{\left(2 \, x\right)}"," ",0,"-1/2*arctan(e^(2*x)) + 1/2*e^(2*x)","A",0
102,1,26,0,1.121533," ","integrate(log(3*x^2+2),x, algorithm=""giac"")","x \log\left(3 \, x^{2} + 2\right) + \frac{2}{3} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} x\right) - 2 \, x"," ",0,"x*log(3*x^2 + 2) + 2/3*sqrt(6)*arctan(1/2*sqrt(6)*x) - 2*x","A",0
103,1,19,0,0.962280," ","integrate(1/r/(2*H*r^2-a^2)^(1/2),x, algorithm=""giac"")","\frac{x}{\sqrt{2 \, H r^{2} - a^{2}} r}"," ",0,"x/(sqrt(2*H*r^2 - a^2)*r)","A",0
104,1,23,0,0.919027," ","integrate(1/r/(2*H*r^2-a^2-e^2)^(1/2),x, algorithm=""giac"")","\frac{x}{\sqrt{2 \, H r^{2} - a^{2} - e^{2}} r}"," ",0,"x/(sqrt(2*H*r^2 - a^2 - e^2)*r)","A",0
105,1,25,0,0.878566," ","integrate(1/r/(-2*K*r^4+2*H*r^2-a^2)^(1/2),x, algorithm=""giac"")","\frac{x}{\sqrt{-2 \, K r^{4} + 2 \, H r^{2} - a^{2}} r}"," ",0,"x/(sqrt(-2*K*r^4 + 2*H*r^2 - a^2)*r)","A",0
106,1,29,0,0.888628," ","integrate(1/r/(-2*K*r^4+2*H*r^2-a^2-e^2)^(1/2),x, algorithm=""giac"")","\frac{x}{\sqrt{-2 \, K r^{4} + 2 \, H r^{2} - a^{2} - e^{2}} r}"," ",0,"x/(sqrt(-2*K*r^4 + 2*H*r^2 - a^2 - e^2)*r)","A",0
107,1,23,0,0.942389," ","integrate(1/r/(2*H*r^2-2*K*r-a^2)^(1/2),x, algorithm=""giac"")","\frac{x}{\sqrt{2 \, H r^{2} - a^{2} - 2 \, K r} r}"," ",0,"x/(sqrt(2*H*r^2 - a^2 - 2*K*r)*r)","A",0
108,1,27,0,0.965330," ","integrate(1/r/(2*H*r^2-2*K*r-a^2-e^2)^(1/2),x, algorithm=""giac"")","\frac{x}{\sqrt{2 \, H r^{2} - a^{2} - 2 \, K r - e^{2}} r}"," ",0,"x/(sqrt(2*H*r^2 - a^2 - 2*K*r - e^2)*r)","A",0
109,1,17,0,0.983894," ","integrate(r/(2*E*r^2-a^2)^(1/2),x, algorithm=""giac"")","\frac{r x}{\sqrt{2 \, E r^{2} - a^{2}}}"," ",0,"r*x/sqrt(2*E*r^2 - a^2)","A",0
110,1,21,0,0.976611," ","integrate(r/(2*E*r^2-a^2-e^2)^(1/2),x, algorithm=""giac"")","\frac{r x}{\sqrt{2 \, E r^{2} - a^{2} - e^{2}}}"," ",0,"r*x/sqrt(2*E*r^2 - a^2 - e^2)","A",0
111,1,23,0,0.918164," ","integrate(r/(-2*K*r^4+2*E*r^2-a^2)^(1/2),x, algorithm=""giac"")","\frac{r x}{\sqrt{-2 \, K r^{4} + 2 \, E r^{2} - a^{2}}}"," ",0,"r*x/sqrt(-2*K*r^4 + 2*E*r^2 - a^2)","A",0
112,1,27,0,1.075158," ","integrate(r/(-2*K*r^4+2*E*r^2-a^2-e^2)^(1/2),x, algorithm=""giac"")","\frac{r x}{\sqrt{-2 \, K r^{4} + 2 \, E r^{2} - a^{2} - e^{2}}}"," ",0,"r*x/sqrt(-2*K*r^4 + 2*E*r^2 - a^2 - e^2)","A",0
113,1,25,0,1.283599," ","integrate(r/(2*H*r^2-2*K*r-a^2-e^2)^(1/2),x, algorithm=""giac"")","\frac{r x}{\sqrt{2 \, H r^{2} - a^{2} - 2 \, K r - e^{2}}}"," ",0,"r*x/sqrt(2*H*r^2 - a^2 - 2*K*r - e^2)","A",0
