1,1,16,0,1.284120," ","integrate(cot(x)^4,x, algorithm=""maxima"")","x + \frac{3 \, \tan\left(x\right)^{2} - 1}{3 \, \tan\left(x\right)^{3}}"," ",0,"x + 1/3*(3*tan(x)^2 - 1)/tan(x)^3","A",0
2,1,15,0,1.286796," ","integrate(1/x^4/(x^2+1),x, algorithm=""maxima"")","\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
3,1,11,0,0.499603," ","integrate((x^2+x)/x^(1/2),x, algorithm=""maxima"")","\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
4,1,2,0,0.511480," ","integrate(cos(x),x, algorithm=""maxima"")","\sin\left(x\right)"," ",0,"sin(x)","A",0
5,1,6,0,0.582870," ","integrate(exp(x^2)*x,x, algorithm=""maxima"")","\frac{1}{2} \, e^{\left(x^{2}\right)}"," ",0,"1/2*e^(x^2)","A",0
6,1,6,0,0.552668," ","integrate(sec(x)^2*tan(x),x, algorithm=""maxima"")","\frac{1}{2} \, \tan\left(x\right)^{2}"," ",0,"1/2*tan(x)^2","A",0
7,1,9,0,0.525515," ","integrate(x*(x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(x^2 + 1)^(3/2)","A",0
8,1,11,0,0.572385," ","integrate(exp(x)*sin(x),x, algorithm=""maxima"")","-\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
9,1,6,0,0.519125," ","integrate(cos(x)*csc(x)^2/sin(x)^2,x, algorithm=""maxima"")","-\frac{1}{3 \, \sin\left(x\right)^{3}}"," ",0,"-1/3/sin(x)^3","A",0
10,1,15,0,0.829434," ","integrate(sin(exp(x)),x, algorithm=""maxima"")","-\frac{1}{2} i \, {\rm Ei}\left(i \, e^{x}\right) + \frac{1}{2} i \, {\rm Ei}\left(-i \, e^{x}\right)"," ",0,"-1/2*I*Ei(I*e^x) + 1/2*I*Ei(-I*e^x)","C",0
11,1,13,0,0.696023," ","integrate(sin(y)/y,y, algorithm=""maxima"")","-\frac{1}{2} i \, {\rm Ei}\left(i \, y\right) + \frac{1}{2} i \, {\rm Ei}\left(-i \, y\right)"," ",0,"-1/2*I*Ei(I*y) + 1/2*I*Ei(-I*y)","C",0
12,1,7,0,0.483962," ","integrate(exp(x)+sin(x),x, algorithm=""maxima"")","-\cos\left(x\right) + e^{x}"," ",0,"-cos(x) + e^x","A",0
13,1,6,0,0.466453," ","integrate(exp(x^2)+2*exp(x^2)*x^2,x, algorithm=""maxima"")","x e^{\left(x^{2}\right)}"," ",0,"x*e^(x^2)","A",0
14,1,19,0,0.476309," ","integrate((x+exp(x))^2,x, algorithm=""maxima"")","\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
15,1,16,0,0.523537," ","integrate(2*exp(x)+exp(2*x)+x^2,x, algorithm=""maxima"")","\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
16,1,6,0,0.602380," ","integrate(cos(x)*sin(x),x, algorithm=""maxima"")","-\frac{1}{2} \, \cos\left(x\right)^{2}"," ",0,"-1/2*cos(x)^2","A",0
17,1,6,0,0.680699," ","integrate(exp(x^2)*x,x, algorithm=""maxima"")","\frac{1}{2} \, e^{\left(x^{2}\right)}"," ",0,"1/2*e^(x^2)","A",0
18,1,9,0,0.514257," ","integrate(x*(x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(x^2 + 1)^(3/2)","A",0
19,1,5,0,0.562246," ","integrate(exp(x)/(1+exp(x)),x, algorithm=""maxima"")","\log\left(e^{x} + 1\right)"," ",0,"log(e^x + 1)","A",0
20,1,5,0,0.506116," ","integrate(x^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, x^{\frac{5}{2}}"," ",0,"2/5*x^(5/2)","A",0
21,1,8,0,0.516598," ","integrate(cos(3+2*x),x, algorithm=""maxima"")","\frac{1}{2} \, \sin\left(2 \, x + 3\right)"," ",0,"1/2*sin(2*x + 3)","A",0
22,1,7,0,0.478631," ","integrate(2*exp(2*x)*y*z,x, algorithm=""maxima"")","y z e^{\left(2 \, x\right)}"," ",0,"y*z*e^(2*x)","A",0
23,1,7,0,0.453347," ","integrate(exp(x)*cos(exp(x))^2*sin(exp(x)),x, algorithm=""maxima"")","-\frac{1}{3} \, \cos\left(e^{x}\right)^{3}"," ",0,"-1/3*cos(e^x)^3","A",0
24,1,15,0,0.549393," ","integrate(x*(1+x)^(1/2),x, algorithm=""maxima"")","\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
25,1,17,0,1.409994," ","integrate(1/(x^4-1),x, algorithm=""maxima"")","-\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x + 1\right) + \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"-1/2*arctan(x) - 1/4*log(x + 1) + 1/4*log(x - 1)","A",0
26,1,13,0,1.326218," ","integrate(exp(x)/(2+3*exp(2*x)),x, algorithm=""maxima"")","\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
27,1,19,0,1.328131," ","integrate(exp(2*x)/(A+B*exp(4*x)),x, algorithm=""maxima"")","\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
28,1,8,0,0.557420," ","integrate(exp(1+x)/(1+exp(x)),x, algorithm=""maxima"")","e \log\left(e^{x} + 1\right)"," ",0,"e*log(e^x + 1)","A",0
29,1,12,0,0.473721," ","integrate((10*E)^x,x, algorithm=""maxima"")","\frac{\left(10 \, E\right)^{x}}{\log\left(10 \, E\right)}"," ",0,"(10*E)^x/log(10*E)","A",0
30,1,16,0,0.642608," ","integrate(x^3*sin(x^2),x, algorithm=""maxima"")","-\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
31,1,40,0,1.156005," ","integrate(x^7/(x^12+1),x, algorithm=""maxima"")","\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=""maxima"")","-\frac{x x^{a} \cos\left(x^{2 \, a}\right) - \frac{{\left(a + 1\right)} x x^{a} \Gamma\left(\frac{1}{4 \, a} + \frac{1}{4}\right) \,_1F_2\left(\begin{matrix} \frac{1}{4 \, a} + \frac{1}{4} \\ \frac{1}{2},\frac{1}{4 \, a} + \frac{5}{4} \end{matrix} ; -\frac{1}{4} \, x^{4 \, a} \right)}{4 \, a \Gamma\left(\frac{1}{4 \, a} + \frac{5}{4}\right)}}{2 \, a}"," ",0,"-1/2*(x*x^a*cos(x^(2*a)) - (a + 1)*integrate(x^a*cos(x^(2*a)), x))/a","F",0
33,1,16,0,0.507258," ","integrate(cos(x^(1/2)),x, algorithm=""maxima"")","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
34,1,15,0,0.472826," ","integrate(x*(1+x)^(1/2),x, algorithm=""maxima"")","\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
35,1,24,0,0.506728," ","integrate(1/(x^(1/3)+x^(1/2)),x, algorithm=""maxima"")","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
36,1,80,0,1.314062," ","integrate(((1+x)/(3+2*x))^(1/2),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - 2 \, \sqrt{\frac{x + 1}{2 \, x + 3}}}{\sqrt{2} + 2 \, \sqrt{\frac{x + 1}{2 \, x + 3}}}\right) - \frac{\sqrt{\frac{x + 1}{2 \, x + 3}}}{2 \, {\left(\frac{2 \, {\left(x + 1\right)}}{2 \, x + 3} - 1\right)}}"," ",0,"1/8*sqrt(2)*log(-(sqrt(2) - 2*sqrt((x + 1)/(2*x + 3)))/(sqrt(2) + 2*sqrt((x + 1)/(2*x + 3)))) - 1/2*sqrt((x + 1)/(2*x + 3))/(2*(x + 1)/(2*x + 3) - 1)","B",0
37,1,44,0,1.217428," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, x {\left(\frac{3 \, x^{2}}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}} - \frac{2}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}\right)} - \frac{x}{3 \, \sqrt{-x^{2} + 1}} + \arcsin\left(x\right)"," ",0,"1/3*x*(3*x^2/(-x^2 + 1)^(3/2) - 2/(-x^2 + 1)^(3/2)) - 1/3*x/sqrt(-x^2 + 1) + arcsin(x)","A",0
38,1,113,0,0.531932," ","integrate(x^(1/2)*(1+x)^(5/2),x, algorithm=""maxima"")","\frac{\frac{15 \, {\left(x + 1\right)}^{\frac{7}{2}}}{x^{\frac{7}{2}}} + \frac{73 \, {\left(x + 1\right)}^{\frac{5}{2}}}{x^{\frac{5}{2}}} - \frac{55 \, {\left(x + 1\right)}^{\frac{3}{2}}}{x^{\frac{3}{2}}} + \frac{15 \, \sqrt{x + 1}}{\sqrt{x}}}{192 \, {\left(\frac{{\left(x + 1\right)}^{4}}{x^{4}} - \frac{4 \, {\left(x + 1\right)}^{3}}{x^{3}} + \frac{6 \, {\left(x + 1\right)}^{2}}{x^{2}} - \frac{4 \, {\left(x + 1\right)}}{x} + 1\right)}} - \frac{5}{128} \, \log\left(\frac{\sqrt{x + 1}}{\sqrt{x}} + 1\right) + \frac{5}{128} \, \log\left(\frac{\sqrt{x + 1}}{\sqrt{x}} - 1\right)"," ",0,"1/192*(15*(x + 1)^(7/2)/x^(7/2) + 73*(x + 1)^(5/2)/x^(5/2) - 55*(x + 1)^(3/2)/x^(3/2) + 15*sqrt(x + 1)/sqrt(x))/((x + 1)^4/x^4 - 4*(x + 1)^3/x^3 + 6*(x + 1)^2/x^2 - 4*(x + 1)/x + 1) - 5/128*log(sqrt(x + 1)/sqrt(x) + 1) + 5/128*log(sqrt(x + 1)/sqrt(x) - 1)","B",0
39,1,44,0,1.320039," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, x {\left(\frac{3 \, x^{2}}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}} - \frac{2}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}\right)} - \frac{x}{3 \, \sqrt{-x^{2} + 1}} + \arcsin\left(x\right)"," ",0,"1/3*x*(3*x^2/(-x^2 + 1)^(3/2) - 2/(-x^2 + 1)^(3/2)) - 1/3*x/sqrt(-x^2 + 1) + arcsin(x)","A",0
40,1,122,0,1.458860," ","integrate((-B^2*y^2+A^2+B^2)^(1/2)/(-y^2+1),y, algorithm=""maxima"")","B \arcsin\left(\frac{B^{2} y}{\sqrt{A^{2} B^{2} + B^{4}}}\right) - \frac{1}{2} \, A \log\left(B^{2} + \frac{2 \, A^{2}}{{\left| 2 \, y + 2 \right|}} + \frac{2 \, \sqrt{-B^{2} y^{2} + A^{2} + B^{2}} A}{{\left| 2 \, y + 2 \right|}}\right) + \frac{1}{2} \, A \log\left(-B^{2} + \frac{2 \, A^{2}}{{\left| 2 \, y - 2 \right|}} + \frac{2 \, \sqrt{-B^{2} y^{2} + A^{2} + B^{2}} A}{{\left| 2 \, y - 2 \right|}}\right)"," ",0,"B*arcsin(B^2*y/sqrt(A^2*B^2 + B^4)) - 1/2*A*log(B^2 + 2*A^2/abs(2*y + 2) + 2*sqrt(-B^2*y^2 + A^2 + B^2)*A/abs(2*y + 2)) + 1/2*A*log(-B^2 + 2*A^2/abs(2*y - 2) + 2*sqrt(-B^2*y^2 + A^2 + B^2)*A/abs(2*y - 2))","B",0
41,1,10,0,0.603162," ","integrate(sin(x)^2,x, algorithm=""maxima"")","\frac{1}{2} \, x - \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x - 1/4*sin(2*x)","A",0
42,1,116,0,1.357157," ","integrate((A^2+B^2*sin(x)^2)^(1/2)/sin(x),x, algorithm=""maxima"")","-B \arcsin\left(\frac{B^{2} \cos\left(x\right)}{\sqrt{A^{2} B^{2} + B^{4}}}\right) - \frac{1}{2} \, A \log\left(B^{2} - \frac{A^{2}}{\cos\left(x\right) - 1} - \frac{\sqrt{-B^{2} \cos\left(x\right)^{2} + A^{2} + B^{2}} A}{\cos\left(x\right) - 1}\right) + \frac{1}{2} \, A \log\left(-B^{2} + \frac{A^{2}}{\cos\left(x\right) + 1} + \frac{\sqrt{-B^{2} \cos\left(x\right)^{2} + A^{2} + B^{2}} A}{\cos\left(x\right) + 1}\right)"," ",0,"-B*arcsin(B^2*cos(x)/sqrt(A^2*B^2 + B^4)) - 1/2*A*log(B^2 - A^2/(cos(x) - 1) - sqrt(-B^2*cos(x)^2 + A^2 + B^2)*A/(cos(x) - 1)) + 1/2*A*log(-B^2 + A^2/(cos(x) + 1) + sqrt(-B^2*cos(x)^2 + A^2 + B^2)*A/(cos(x) + 1))","B",0
43,1,9,0,0.548584," ","integrate(1/(1+cos(x)),x, algorithm=""maxima"")","\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}"," ",0,"sin(x)/(cos(x) + 1)","A",0
44,1,6,0,0.569839," ","integrate(exp(x)*x,x, algorithm=""maxima"")","{\left(x - 1\right)} e^{x}"," ",0,"(x - 1)*e^x","A",0
45,1,8,0,0.462494," ","integrate(exp(x)*x/(1+x)^2,x, algorithm=""maxima"")","\frac{e^{x}}{x + 1}"," ",0,"e^x/(x + 1)","A",0
46,1,6,0,0.480261," ","integrate(exp(x^2)*(2*x^2+1),x, algorithm=""maxima"")","x e^{\left(x^{2}\right)}"," ",0,"x*e^(x^2)","A",0
47,1,9,0,0.544930," ","integrate(exp(x^2),x, algorithm=""maxima"")","-\frac{1}{2} i \, \sqrt{\pi} \operatorname{erf}\left(i \, x\right)"," ",0,"-1/2*I*sqrt(pi)*erf(I*x)","C",0
48,1,2,0,0.714283," ","integrate(exp(x)/x,x, algorithm=""maxima"")","{\rm Ei}\left(x\right)"," ",0,"Ei(x)","A",0
49,1,34,0,1.087904," ","integrate(x/(x^3+1),x, algorithm=""maxima"")","\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(x + 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/6*log(x^2 - x + 1) - 1/3*log(x + 1)","A",0
50,1,65,0,1.281347," ","integrate(1/(x^6-1),x, algorithm=""maxima"")","-\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(x + 1\right) + \frac{1}{6} \, \log\left(x - 1\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(x + 1) + 1/6*log(x - 1)","A",0
51,1,39,0,0.509727," ","integrate(1/(A^4-A^2*B^2+(-A^2+B^2)*x^2),x, algorithm=""maxima"")","\frac{\log\left(A + x\right)}{2 \, {\left(A^{3} - A B^{2}\right)}} - \frac{\log\left(-A + x\right)}{2 \, {\left(A^{3} - A B^{2}\right)}}"," ",0,"1/2*log(A + x)/(A^3 - A*B^2) - 1/2*log(-A + x)/(A^3 - A*B^2)","A",0
52,1,13,0,0.609182," ","integrate(x*log(x),x, algorithm=""maxima"")","\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
53,1,33,0,1.287780," ","integrate(x^2*arcsin(x),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \arcsin\left(x\right) + \frac{1}{9} \, \sqrt{-x^{2} + 1} x^{2} + \frac{2}{9} \, \sqrt{-x^{2} + 1}"," ",0,"1/3*x^3*arcsin(x) + 1/9*sqrt(-x^2 + 1)*x^2 + 2/9*sqrt(-x^2 + 1)","A",0
54,1,7,0,0.533708," ","integrate(1/(x^2+2*x+1),x, algorithm=""maxima"")","-\frac{1}{x + 1}"," ",0,"-1/(x + 1)","A",0
55,1,8,0,0.540148," ","integrate(log(x)/(1+log(x))^2,x, algorithm=""maxima"")","\frac{x}{\log\left(x\right) + 1}"," ",0,"x/(log(x) + 1)","A",0
56,1,3,0,1.292907," ","integrate(1/x/(1+log(x)^2),x, algorithm=""maxima"")","\arctan\left(\log\left(x\right)\right)"," ",0,"arctan(log(x))","A",0
57,1,3,0,0.645862," ","integrate(1/log(x),x, algorithm=""maxima"")","{\rm Ei}\left(\log\left(x\right)\right)"," ",0,"Ei(log(x))","A",0
58,1,14,0,0.576494," ","integrate(x*(cos(x)+sin(x)),x, algorithm=""maxima"")","-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
59,1,11,0,0.559425," ","integrate((x+exp(x))/exp(x),x, algorithm=""maxima"")","-{\left(x + 1\right)} e^{\left(-x\right)} + x"," ",0,"-(x + 1)*e^(-x) + x","A",0
60,1,24,0,0.618614," ","integrate((1+exp(x))^2*x,x, algorithm=""maxima"")","\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
61,1,7,0,0.505666," ","integrate(x*cos(x),x, algorithm=""maxima"")","x \sin\left(x\right) + \cos\left(x\right)"," ",0,"x*sin(x) + cos(x)","A",0
62,1,16,0,0.616319," ","integrate(cos(x^(1/2)),x, algorithm=""maxima"")","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
63,1,7,0,0.660490," ","integrate(x*cos(x),x, algorithm=""maxima"")","x \sin\left(x\right) + \cos\left(x\right)"," ",0,"x*sin(x) + cos(x)","A",0
64,1,17,0,0.594990," ","integrate(x*log(x)^2,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, \log\left(x\right)^{2} - 2 \, \log\left(x\right) + 1\right)} x^{2}"," ",0,"1/4*(2*log(x)^2 - 2*log(x) + 1)*x^2","A",0
65,1,9,0,0.532490," ","integrate(cos(x)*(1+sin(x)^3),x, algorithm=""maxima"")","\frac{1}{4} \, \sin\left(x\right)^{4} + \sin\left(x\right)"," ",0,"1/4*sin(x)^4 + sin(x)","A",0
66,1,3,0,1.364244," ","integrate(1/x/(1+log(x)^2),x, algorithm=""maxima"")","\arctan\left(\log\left(x\right)\right)"," ",0,"arctan(log(x))","A",0
67,0,0,0,0.000000," ","integrate(1/(1+arcsin(x)^2)/(-x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{2} + 1} {\left(\arcsin\left(x\right)^{2} + 1\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^2 + 1)*(arcsin(x)^2 + 1)), x)","F",0
68,1,53,0,1.278728," ","integrate(sin(x)/(cos(x)+sin(x)),x, algorithm=""maxima"")","\arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right) - \frac{1}{2} \, \log\left(-\frac{2 \, \sin\left(x\right)}{\cos\left(x\right) + 1} + \frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} - 1\right) + \frac{1}{2} \, \log\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)"," ",0,"arctan(sin(x)/(cos(x) + 1)) - 1/2*log(-2*sin(x)/(cos(x) + 1) + sin(x)^2/(cos(x) + 1)^2 - 1) + 1/2*log(sin(x)^2/(cos(x) + 1)^2 + 1)","B",0
69,1,123,0,1.494898," ","integrate(-(A^2+B^2*(-y^2+1))^(1/2)/(-y^2+1),y, algorithm=""maxima"")","-B \arcsin\left(\frac{B^{2} y}{\sqrt{A^{2} B^{2} + B^{4}}}\right) + \frac{1}{2} \, A \log\left(B^{2} + \frac{2 \, A^{2}}{{\left| 2 \, y + 2 \right|}} + \frac{2 \, \sqrt{-B^{2} y^{2} + A^{2} + B^{2}} A}{{\left| 2 \, y + 2 \right|}}\right) - \frac{1}{2} \, A \log\left(-B^{2} + \frac{2 \, A^{2}}{{\left| 2 \, y - 2 \right|}} + \frac{2 \, \sqrt{-B^{2} y^{2} + A^{2} + B^{2}} A}{{\left| 2 \, y - 2 \right|}}\right)"," ",0,"-B*arcsin(B^2*y/sqrt(A^2*B^2 + B^4)) + 1/2*A*log(B^2 + 2*A^2/abs(2*y + 2) + 2*sqrt(-B^2*y^2 + A^2 + B^2)*A/abs(2*y + 2)) - 1/2*A*log(-B^2 + 2*A^2/abs(2*y - 2) + 2*sqrt(-B^2*y^2 + A^2 + B^2)*A/abs(2*y - 2))","B",0
70,1,69,0,1.513224," ","integrate((-A^2-B^2)*cos(z)^2/B/(1-(A^2+B^2)*sin(z)^2/B^2),z, algorithm=""maxima"")","-\frac{{\left(A^{2} + B^{2}\right)} {\left(\frac{2 \, B^{2} z}{A^{2} + B^{2}} + \frac{A B \log\left(A \tan\left(z\right) + B\right)}{A^{2} + B^{2}} - \frac{A B \log\left(A \tan\left(z\right) - B\right)}{A^{2} + B^{2}}\right)}}{2 \, B}"," ",0,"-1/2*(A^2 + B^2)*(2*B^2*z/(A^2 + B^2) + A*B*log(A*tan(z) + B)/(A^2 + B^2) - A*B*log(A*tan(z) - B)/(A^2 + B^2))/B","B",0
71,1,68,0,1.413956," ","integrate((-A^2-B^2)/B/(w^2+1)^2/(1-(A^2+B^2)*w^2/B^2/(w^2+1)),w, algorithm=""maxima"")","-\frac{{\left(A^{2} + B^{2}\right)} {\left(\frac{2 \, B^{2} \arctan\left(w\right)}{A^{2} + B^{2}} + \frac{A B \log\left(A w + B\right)}{A^{2} + B^{2}} - \frac{A B \log\left(A w - B\right)}{A^{2} + B^{2}}\right)}}{2 \, B}"," ",0,"-1/2*(A^2 + B^2)*(2*B^2*arctan(w)/(A^2 + B^2) + A*B*log(A*w + B)/(A^2 + B^2) - A*B*log(A*w - B)/(A^2 + B^2))/B","B",0
72,1,65,0,1.422294," ","integrate(-B*(A^2+B^2)/(w^2+1)/(-A^2*w^2+B^2),w, algorithm=""maxima"")","-\frac{1}{2} \, {\left(A^{2} + B^{2}\right)} B {\left(\frac{A \log\left(A w + B\right)}{A^{2} B + B^{3}} - \frac{A \log\left(A w - B\right)}{A^{2} B + B^{3}} + \frac{2 \, \arctan\left(w\right)}{A^{2} + B^{2}}\right)}"," ",0,"-1/2*(A^2 + B^2)*B*(A*log(A*w + B)/(A^2*B + B^3) - A*log(A*w - B)/(A^2*B + B^3) + 2*arctan(w)/(A^2 + B^2))","B",0
73,1,44,0,1.269351," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, x {\left(\frac{3 \, x^{2}}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}} - \frac{2}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}\right)} - \frac{x}{3 \, \sqrt{-x^{2} + 1}} + \arcsin\left(x\right)"," ",0,"1/3*x*(3*x^2/(-x^2 + 1)^(3/2) - 2/(-x^2 + 1)^(3/2)) - 1/3*x/sqrt(-x^2 + 1) + arcsin(x)","A",0
74,1,12,0,1.332282," ","integrate(sin(y)^4/cos(y)^4,y, algorithm=""maxima"")","\frac{1}{3} \, \tan\left(y\right)^{3} + y - \tan\left(y\right)"," ",0,"1/3*tan(y)^3 + y - tan(y)","A",0
75,1,11,0,1.470682," ","integrate(z^4/(z^2+1),z, algorithm=""maxima"")","\frac{1}{3} \, z^{3} - z + \arctan\left(z\right)"," ",0,"1/3*z^3 - z + arctan(z)","A",0
76,1,6,0,0.668311," ","integrate(exp(x^2)*(2*x^2+1),x, algorithm=""maxima"")","x e^{\left(x^{2}\right)}"," ",0,"x*e^(x^2)","A",0
77,1,23,0,1.799574," ","integrate(exp(x^2)*(2*x^6+5*x^4+x^3+4*x^2+1)/(x^2+1)^2,x, algorithm=""maxima"")","\frac{{\left(2 \, x^{3} + 2 \, x + 1\right)} e^{\left(x^{2}\right)}}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/2*(2*x^3 + 2*x + 1)*e^(x^2)/(x^2 + 1)","A",0
78,1,8,0,0.469343," ","integrate(exp(-1-x),x, algorithm=""maxima"")","-e^{\left(-x - 1\right)}"," ",0,"-e^(-x - 1)","A",0
79,1,24,0,0.567005," ","integrate((1/x+x)*log(x),x, algorithm=""maxima"")","-\frac{1}{4} \, x^{2} + \frac{1}{2} \, {\left(x^{2} + 2 \, \log\left(x\right)\right)} \log\left(x\right) - \frac{1}{2} \, \log\left(x\right)^{2}"," ",0,"-1/4*x^2 + 1/2*(x^2 + 2*log(x))*log(x) - 1/2*log(x)^2","A",0
80,1,6,0,1.416485," ","integrate(x/(x^4+1),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(x^{2}\right)"," ",0,"1/2*arctan(x^2)","A",0
81,1,12,0,1.470428," ","integrate(x^5/(x^4+1),x, algorithm=""maxima"")","\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
82,1,16,0,1.361554," ","integrate(1/(1+tan(x)^2),x, algorithm=""maxima"")","\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
83,1,44,0,1.396060," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, x {\left(\frac{3 \, x^{2}}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}} - \frac{2}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}\right)} - \frac{x}{3 \, \sqrt{-x^{2} + 1}} + \arcsin\left(x\right)"," ",0,"1/3*x*(3*x^2/(-x^2 + 1)^(3/2) - 2/(-x^2 + 1)^(3/2)) - 1/3*x/sqrt(-x^2 + 1) + arcsin(x)","A",0
84,1,15,0,1.533222," ","integrate(-x^2/(-x^2+1)^(3/2),x, algorithm=""maxima"")","-\frac{x}{\sqrt{-x^{2} + 1}} + \arcsin\left(x\right)"," ",0,"-x/sqrt(-x^2 + 1) + arcsin(x)","A",0
85,1,11,0,0.815399," ","integrate(exp(x)*sin(x),x, algorithm=""maxima"")","-\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
86,1,2,0,0.513294," ","integrate(1/x,x, algorithm=""maxima"")","\log\left(x\right)"," ",0,"log(x)","A",0
87,1,256,0,1.983636," ","integrate(sec(2*t)/(1+sec(t)^2+3*tan(t)),t, algorithm=""maxima"")","\frac{3 \, {\left(\cos\left(2 \, t\right)^{2} + \sin\left(2 \, t\right)^{2} + 2 \, \sin\left(2 \, t\right) + 1\right)} \log\left(953674316406250 \, {\left(3 \, \cos\left(2 \, t\right) + \sin\left(2 \, t\right) + 4\right)} \cos\left(4 \, t\right) + 2384185791015625 \, \cos\left(4 \, t\right)^{2} + 953674316406250 \, \cos\left(2 \, t\right)^{2} - 953674316406250 \, {\left(\cos\left(2 \, t\right) - 3 \, \sin\left(2 \, t\right) + 3\right)} \sin\left(4 \, t\right) + 2384185791015625 \, \sin\left(4 \, t\right)^{2} + 953674316406250 \, \sin\left(2 \, t\right)^{2} + 2861022949218750 \, \cos\left(2 \, t\right) - 953674316406250 \, \sin\left(2 \, t\right) + 2384185791015625\right) - 6 \, {\left(\cos\left(2 \, t\right)^{2} + \sin\left(2 \, t\right)^{2} + 2 \, \sin\left(2 \, t\right) + 1\right)} \log\left(\cos\left(2 \, t\right)^{2} + \sin\left(2 \, t\right)^{2} + 2 \, \sin\left(2 \, t\right) + 1\right) + 5 \, {\left(\cos\left(2 \, t\right)^{2} + \sin\left(2 \, t\right)^{2} + 2 \, \sin\left(2 \, t\right) + 1\right)} \log\left(\frac{5 \, \cos\left(2 \, t\right)^{2} + 5 \, \sin\left(2 \, t\right)^{2} + 6 \, \cos\left(2 \, t\right) + 8 \, \sin\left(2 \, t\right) + 5}{5 \, {\left(\cos\left(2 \, t\right)^{2} + \sin\left(2 \, t\right)^{2} - 2 \, \sin\left(2 \, t\right) + 1\right)}}\right) - 24 \, \cos\left(2 \, t\right)}{48 \, {\left(\cos\left(2 \, t\right)^{2} + \sin\left(2 \, t\right)^{2} + 2 \, \sin\left(2 \, t\right) + 1\right)}}"," ",0,"1/48*(3*(cos(2*t)^2 + sin(2*t)^2 + 2*sin(2*t) + 1)*log(953674316406250*(3*cos(2*t) + sin(2*t) + 4)*cos(4*t) + 2384185791015625*cos(4*t)^2 + 953674316406250*cos(2*t)^2 - 953674316406250*(cos(2*t) - 3*sin(2*t) + 3)*sin(4*t) + 2384185791015625*sin(4*t)^2 + 953674316406250*sin(2*t)^2 + 2861022949218750*cos(2*t) - 953674316406250*sin(2*t) + 2384185791015625) - 6*(cos(2*t)^2 + sin(2*t)^2 + 2*sin(2*t) + 1)*log(cos(2*t)^2 + sin(2*t)^2 + 2*sin(2*t) + 1) + 5*(cos(2*t)^2 + sin(2*t)^2 + 2*sin(2*t) + 1)*log(1/5*(5*cos(2*t)^2 + 5*sin(2*t)^2 + 6*cos(2*t) + 8*sin(2*t) + 5)/(cos(2*t)^2 + sin(2*t)^2 - 2*sin(2*t) + 1)) - 24*cos(2*t))/(cos(2*t)^2 + sin(2*t)^2 + 2*sin(2*t) + 1)","B",0
88,1,10,0,0.672096," ","integrate(1/sec(x)^2,x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x + 1/4*sin(2*x)","A",0
89,1,11,0,0.519532," ","integrate((x^2+1)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{5} \, x^{\frac{5}{2}} + 2 \, \sqrt{x}"," ",0,"2/5*x^(5/2) + 2*sqrt(x)","A",0
90,1,19,0,1.272225," ","integrate(x/(x^2+2*x+5)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} + 2 \, x + 5} - \operatorname{arsinh}\left(\frac{1}{2} \, x + \frac{1}{2}\right)"," ",0,"sqrt(x^2 + 2*x + 5) - arcsinh(1/2*x + 1/2)","A",0
91,1,6,0,0.513005," ","integrate(cos(x)*sin(x)^2,x, algorithm=""maxima"")","\frac{1}{3} \, \sin\left(x\right)^{3}"," ",0,"1/3*sin(x)^3","A",0
92,1,5,0,0.554135," ","integrate(exp(x)/(1+exp(x)),x, algorithm=""maxima"")","\log\left(e^{x} + 1\right)"," ",0,"log(e^x + 1)","A",0
93,1,10,0,0.687147," ","integrate(exp(2*x)/(1+exp(x)),x, algorithm=""maxima"")","e^{x} - \log\left(e^{x} + 1\right)"," ",0,"e^x - log(e^x + 1)","A",0
94,1,10,0,0.763466," ","integrate(1/(1-cos(x)),x, algorithm=""maxima"")","-\frac{\cos\left(x\right) + 1}{\sin\left(x\right)}"," ",0,"-(cos(x) + 1)/sin(x)","A",0
95,1,6,0,0.669412," ","integrate(sec(x)^2*tan(x),x, algorithm=""maxima"")","\frac{1}{2} \, \tan\left(x\right)^{2}"," ",0,"1/2*tan(x)^2","A",0
96,1,13,0,0.473135," ","integrate(x*log(x),x, algorithm=""maxima"")","\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
97,1,6,0,0.544907," ","integrate(cos(x)*sin(x),x, algorithm=""maxima"")","-\frac{1}{2} \, \cos\left(x\right)^{2}"," ",0,"-1/2*cos(x)^2","A",0
98,1,22,0,1.202379," ","integrate((1+x)/(-x^2+2*x)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 2 \, x} - 2 \, \arcsin\left(-x + 1\right)"," ",0,"-sqrt(-x^2 + 2*x) - 2*arcsin(-x + 1)","A",0
99,1,13,0,1.341123," ","integrate(2*exp(x)/(2+3*exp(2*x)),x, algorithm=""maxima"")","\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
100,1,44,0,1.334700," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, x {\left(\frac{3 \, x^{2}}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}} - \frac{2}{{\left(-x^{2} + 1\right)}^{\frac{3}{2}}}\right)} - \frac{x}{3 \, \sqrt{-x^{2} + 1}} + \arcsin\left(x\right)"," ",0,"1/3*x*(3*x^2/(-x^2 + 1)^(3/2) - 2/(-x^2 + 1)^(3/2)) - 1/3*x/sqrt(-x^2 + 1) + arcsin(x)","A",0
101,1,14,0,1.295954," ","integrate(exp(6*x)/(1+exp(4*x)),x, algorithm=""maxima"")","-\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
102,1,26,0,1.272078," ","integrate(log(3*x^2+2),x, algorithm=""maxima"")","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
103,1,19,0,0.495543," ","integrate(1/r/(2*H*r^2-a^2)^(1/2),x, algorithm=""maxima"")","\frac{x}{\sqrt{2 \, H r^{2} - a^{2}} r}"," ",0,"x/(sqrt(2*H*r^2 - a^2)*r)","A",0
104,1,24,0,0.684460," ","integrate(1/r/(2*H*r^2-a^2-e^2)^(1/2),x, algorithm=""maxima"")","\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
105,1,25,0,0.785625," ","integrate(1/r/(-2*K*r^4+2*H*r^2-a^2)^(1/2),x, algorithm=""maxima"")","\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
106,1,30,0,0.543257," ","integrate(1/r/(-2*K*r^4+2*H*r^2-a^2-e^2)^(1/2),x, algorithm=""maxima"")","\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
107,1,23,0,0.605584," ","integrate(1/r/(2*H*r^2-2*K*r-a^2)^(1/2),x, algorithm=""maxima"")","\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
108,1,28,0,0.575877," ","integrate(1/r/(2*H*r^2-2*K*r-a^2-e^2)^(1/2),x, algorithm=""maxima"")","\frac{x}{\sqrt{2 \, H r^{2} - a^{2} - e^{2} - 2 \, K r} r}"," ",0,"x/(sqrt(2*H*r^2 - a^2 - e^2 - 2*K*r)*r)","A",0
109,1,17,0,0.594848," ","integrate(r/(2*E*r^2-a^2)^(1/2),x, algorithm=""maxima"")","\frac{r x}{\sqrt{2 \, E r^{2} - a^{2}}}"," ",0,"r*x/sqrt(2*E*r^2 - a^2)","A",0
110,1,22,0,0.731642," ","integrate(r/(2*E*r^2-a^2-e^2)^(1/2),x, algorithm=""maxima"")","\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
111,1,23,0,0.474981," ","integrate(r/(-2*K*r^4+2*E*r^2-a^2)^(1/2),x, algorithm=""maxima"")","\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
112,1,28,0,0.550704," ","integrate(r/(-2*K*r^4+2*E*r^2-a^2-e^2)^(1/2),x, algorithm=""maxima"")","\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
113,1,26,0,0.648939," ","integrate(r/(2*H*r^2-2*K*r-a^2-e^2)^(1/2),x, algorithm=""maxima"")","\frac{r x}{\sqrt{2 \, H r^{2} - a^{2} - e^{2} - 2 \, K r}}"," ",0,"r*x/sqrt(2*H*r^2 - a^2 - e^2 - 2*K*r)","A",0
