1,1,48,0,0.953982," ","integrate(cot(x)^4,x, algorithm=""fricas"")","\frac{4 \, \cos\left(2 \, x\right)^{2} + 3 \, {\left(x \cos\left(2 \, x\right) - x\right)} \sin\left(2 \, x\right) + 2 \, \cos\left(2 \, x\right) - 2}{3 \, {\left(\cos\left(2 \, x\right) - 1\right)} \sin\left(2 \, x\right)}"," ",0,"1/3*(4*cos(2*x)^2 + 3*(x*cos(2*x) - x)*sin(2*x) + 2*cos(2*x) - 2)/((cos(2*x) - 1)*sin(2*x))","B",0
2,1,19,0,0.906881," ","integrate(1/x^4/(x^2+1),x, algorithm=""fricas"")","\frac{3 \, x^{3} \arctan\left(x\right) + 3 \, x^{2} - 1}{3 \, x^{3}}"," ",0,"1/3*(3*x^3*arctan(x) + 3*x^2 - 1)/x^3","A",0
3,1,14,0,0.648279," ","integrate((x^2+x)/x^(1/2),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(3 \, x^{2} + 5 \, x\right)} \sqrt{x}"," ",0,"2/15*(3*x^2 + 5*x)*sqrt(x)","A",0
4,1,2,0,0.991243," ","integrate(cos(x),x, algorithm=""fricas"")","\sin\left(x\right)"," ",0,"sin(x)","A",0
5,1,6,0,0.686138," ","integrate(exp(x^2)*x,x, algorithm=""fricas"")","\frac{1}{2} \, e^{\left(x^{2}\right)}"," ",0,"1/2*e^(x^2)","A",0
6,1,6,0,0.973249," ","integrate(sec(x)^2*tan(x),x, algorithm=""fricas"")","\frac{1}{2 \, \cos\left(x\right)^{2}}"," ",0,"1/2/cos(x)^2","A",0
7,1,9,0,0.942823," ","integrate(x*(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(x^2 + 1)^(3/2)","A",0
8,1,13,0,0.917092," ","integrate(exp(x)*sin(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(x\right) e^{x} + \frac{1}{2} \, e^{x} \sin\left(x\right)"," ",0,"-1/2*cos(x)*e^x + 1/2*e^x*sin(x)","A",0
9,1,14,0,0.884481," ","integrate(cos(x)*csc(x)^2/sin(x)^2,x, algorithm=""fricas"")","\frac{1}{3 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}"," ",0,"1/3/((cos(x)^2 - 1)*sin(x))","B",0
10,1,3,0,0.960913," ","integrate(sin(exp(x)),x, algorithm=""fricas"")","\operatorname{Si}\left(e^{x}\right)"," ",0,"sin_integral(e^x)","A",0
11,1,2,0,0.861279," ","integrate(sin(y)/y,y, algorithm=""fricas"")","\operatorname{Si}\left(y\right)"," ",0,"sin_integral(y)","A",0
12,1,7,0,0.869049," ","integrate(exp(x)+sin(x),x, algorithm=""fricas"")","-\cos\left(x\right) + e^{x}"," ",0,"-cos(x) + e^x","A",0
13,1,6,0,0.873925," ","integrate(exp(x^2)+2*exp(x^2)*x^2,x, algorithm=""fricas"")","x e^{\left(x^{2}\right)}"," ",0,"x*e^(x^2)","A",0
14,1,19,0,0.920975," ","integrate((x+exp(x))^2,x, algorithm=""fricas"")","\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
15,1,16,0,0.910436," ","integrate(2*exp(x)+exp(2*x)+x^2,x, algorithm=""fricas"")","\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
16,1,6,0,0.562975," ","integrate(cos(x)*sin(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(x\right)^{2}"," ",0,"-1/2*cos(x)^2","A",0
17,1,6,0,0.728889," ","integrate(exp(x^2)*x,x, algorithm=""fricas"")","\frac{1}{2} \, e^{\left(x^{2}\right)}"," ",0,"1/2*e^(x^2)","A",0
18,1,9,0,0.973477," ","integrate(x*(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(x^2 + 1)^(3/2)","A",0
19,1,5,0,0.937158," ","integrate(exp(x)/(1+exp(x)),x, algorithm=""fricas"")","\log\left(e^{x} + 1\right)"," ",0,"log(e^x + 1)","A",0
20,1,5,0,0.946445," ","integrate(x^(3/2),x, algorithm=""fricas"")","\frac{2}{5} \, x^{\frac{5}{2}}"," ",0,"2/5*x^(5/2)","A",0
21,1,8,0,0.884484," ","integrate(cos(3+2*x),x, algorithm=""fricas"")","\frac{1}{2} \, \sin\left(2 \, x + 3\right)"," ",0,"1/2*sin(2*x + 3)","A",0
22,1,7,0,0.895144," ","integrate(2*exp(2*x)*y*z,x, algorithm=""fricas"")","y z e^{\left(2 \, x\right)}"," ",0,"y*z*e^(2*x)","A",0
23,1,7,0,0.727403," ","integrate(exp(x)*cos(exp(x))^2*sin(exp(x)),x, algorithm=""fricas"")","-\frac{1}{3} \, \cos\left(e^{x}\right)^{3}"," ",0,"-1/3*cos(e^x)^3","A",0
24,1,15,0,0.826265," ","integrate(x*(1+x)^(1/2),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(3 \, x^{2} + x - 2\right)} \sqrt{x + 1}"," ",0,"2/15*(3*x^2 + x - 2)*sqrt(x + 1)","A",0
25,1,17,0,0.823738," ","integrate(1/(x^4-1),x, algorithm=""fricas"")","-\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
26,1,13,0,0.906146," ","integrate(exp(x)/(2+3*exp(2*x)),x, algorithm=""fricas"")","\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
27,1,76,0,0.930772," ","integrate(exp(2*x)/(A+B*exp(4*x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-A B} \log\left(\frac{B e^{\left(4 \, x\right)} - 2 \, \sqrt{-A B} e^{\left(2 \, x\right)} - A}{B e^{\left(4 \, x\right)} + A}\right)}{4 \, A B}, -\frac{\sqrt{A B} \arctan\left(\frac{\sqrt{A B} e^{\left(-2 \, x\right)}}{B}\right)}{2 \, A B}\right]"," ",0,"[-1/4*sqrt(-A*B)*log((B*e^(4*x) - 2*sqrt(-A*B)*e^(2*x) - A)/(B*e^(4*x) + A))/(A*B), -1/2*sqrt(A*B)*arctan(sqrt(A*B)*e^(-2*x)/B)/(A*B)]","A",0
28,1,11,0,0.881221," ","integrate(exp(1+x)/(1+exp(x)),x, algorithm=""fricas"")","e \log\left(e + e^{\left(x + 1\right)}\right)"," ",0,"e*log(e + e^(x + 1))","A",0
29,1,12,0,0.727360," ","integrate((10*E)^x,x, algorithm=""fricas"")","\frac{\left(10 \, E\right)^{x}}{\log\left(10 \, E\right)}"," ",0,"(10*E)^x/log(10*E)","A",0
30,1,16,0,0.708591," ","integrate(x^3*sin(x^2),x, algorithm=""fricas"")","-\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
31,1,40,0,0.734620," ","integrate(x^7/(x^12+1),x, algorithm=""fricas"")","\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
32,0,0,0,1.275335," ","integrate(x^(3*a)*sin(x^(2*a)),x, algorithm=""fricas"")","{\rm integral}\left(x^{3 \, a} \sin\left(x^{2 \, a}\right), x\right)"," ",0,"integral(x^(3*a)*sin(x^(2*a)), x)","F",0
33,1,16,0,1.159755," ","integrate(cos(x^(1/2)),x, algorithm=""fricas"")","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
34,1,15,0,1.018631," ","integrate(x*(1+x)^(1/2),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(3 \, x^{2} + x - 2\right)} \sqrt{x + 1}"," ",0,"2/15*(3*x^2 + x - 2)*sqrt(x + 1)","A",0
35,1,24,0,1.143269," ","integrate(1/(x^(1/3)+x^(1/2)),x, algorithm=""fricas"")","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
36,1,55,0,0.845880," ","integrate(((1+x)/(3+2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(2 \, x + 3\right)} \sqrt{\frac{x + 1}{2 \, x + 3}} + \frac{1}{8} \, \sqrt{2} \log\left(2 \, \sqrt{2} {\left(2 \, x + 3\right)} \sqrt{\frac{x + 1}{2 \, x + 3}} - 4 \, x - 5\right)"," ",0,"1/2*(2*x + 3)*sqrt((x + 1)/(2*x + 3)) + 1/8*sqrt(2)*log(2*sqrt(2)*(2*x + 3)*sqrt((x + 1)/(2*x + 3)) - 4*x - 5)","A",0
37,1,63,0,1.134400," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""fricas"")","-\frac{6 \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \arctan\left(\frac{\sqrt{-x^{2} + 1} - 1}{x}\right) - {\left(4 \, x^{3} - 3 \, x\right)} \sqrt{-x^{2} + 1}}{3 \, {\left(x^{4} - 2 \, x^{2} + 1\right)}}"," ",0,"-1/3*(6*(x^4 - 2*x^2 + 1)*arctan((sqrt(-x^2 + 1) - 1)/x) - (4*x^3 - 3*x)*sqrt(-x^2 + 1))/(x^4 - 2*x^2 + 1)","B",0
38,1,44,0,1.192974," ","integrate(x^(1/2)*(1+x)^(5/2),x, algorithm=""fricas"")","\frac{1}{192} \, {\left(48 \, x^{3} + 136 \, x^{2} + 118 \, x + 15\right)} \sqrt{x + 1} \sqrt{x} + \frac{5}{128} \, \log\left(2 \, \sqrt{x + 1} \sqrt{x} - 2 \, x - 1\right)"," ",0,"1/192*(48*x^3 + 136*x^2 + 118*x + 15)*sqrt(x + 1)*sqrt(x) + 5/128*log(2*sqrt(x + 1)*sqrt(x) - 2*x - 1)","A",0
39,1,63,0,1.023424," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""fricas"")","-\frac{6 \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \arctan\left(\frac{\sqrt{-x^{2} + 1} - 1}{x}\right) - {\left(4 \, x^{3} - 3 \, x\right)} \sqrt{-x^{2} + 1}}{3 \, {\left(x^{4} - 2 \, x^{2} + 1\right)}}"," ",0,"-1/3*(6*(x^4 - 2*x^2 + 1)*arctan((sqrt(-x^2 + 1) - 1)/x) - (4*x^3 - 3*x)*sqrt(-x^2 + 1))/(x^4 - 2*x^2 + 1)","B",0
40,1,129,0,1.101240," ","integrate((-B^2*y^2+A^2+B^2)^(1/2)/(-y^2+1),y, algorithm=""fricas"")","-B \arctan\left(\frac{\sqrt{-B^{2} y^{2} + A^{2} + B^{2}}}{B y}\right) + \frac{1}{4} \, A \log\left(-\frac{{\left(A^{2} - B^{2}\right)} y^{2} + 2 \, \sqrt{-B^{2} y^{2} + A^{2} + B^{2}} A y + A^{2} + B^{2}}{y^{2}}\right) - \frac{1}{4} \, A \log\left(-\frac{{\left(A^{2} - B^{2}\right)} y^{2} - 2 \, \sqrt{-B^{2} y^{2} + A^{2} + B^{2}} A y + A^{2} + B^{2}}{y^{2}}\right)"," ",0,"-B*arctan(sqrt(-B^2*y^2 + A^2 + B^2)/(B*y)) + 1/4*A*log(-((A^2 - B^2)*y^2 + 2*sqrt(-B^2*y^2 + A^2 + B^2)*A*y + A^2 + B^2)/y^2) - 1/4*A*log(-((A^2 - B^2)*y^2 - 2*sqrt(-B^2*y^2 + A^2 + B^2)*A*y + A^2 + B^2)/y^2)","B",0
41,1,10,0,1.074996," ","integrate(sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{2} \, x"," ",0,"-1/2*cos(x)*sin(x) + 1/2*x","A",0
42,1,244,0,1.417704," ","integrate((A^2+B^2*sin(x)^2)^(1/2)/sin(x),x, algorithm=""fricas"")","\frac{1}{2} \, B \arctan\left(-\frac{{\left(A^{4} + 2 \, A^{2} B^{2} + B^{4}\right)} \cos\left(x\right) \sin\left(x\right) - 2 \, {\left(2 \, B^{3} \cos\left(x\right)^{3} - {\left(A^{2} B + B^{3}\right)} \cos\left(x\right)\right)} \sqrt{-B^{2} \cos\left(x\right)^{2} + A^{2} + B^{2}}}{4 \, B^{4} \cos\left(x\right)^{4} + A^{4} + 2 \, A^{2} B^{2} + B^{4} - {\left(A^{4} + 6 \, A^{2} B^{2} + 5 \, B^{4}\right)} \cos\left(x\right)^{2}}\right) - \frac{1}{2} \, B \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right)}\right) - \frac{1}{2} \, A \log\left(-B^{2} \cos\left(x\right)^{2} + A B \cos\left(x\right) \sin\left(x\right) + A^{2} + B^{2} + \sqrt{-B^{2} \cos\left(x\right)^{2} + A^{2} + B^{2}} {\left(A \cos\left(x\right) + B \sin\left(x\right)\right)}\right) + \frac{1}{2} \, A \log\left(-B^{2} \cos\left(x\right)^{2} - A B \cos\left(x\right) \sin\left(x\right) + A^{2} + B^{2} - \sqrt{-B^{2} \cos\left(x\right)^{2} + A^{2} + B^{2}} {\left(A \cos\left(x\right) - B \sin\left(x\right)\right)}\right)"," ",0,"1/2*B*arctan(-((A^4 + 2*A^2*B^2 + B^4)*cos(x)*sin(x) - 2*(2*B^3*cos(x)^3 - (A^2*B + B^3)*cos(x))*sqrt(-B^2*cos(x)^2 + A^2 + B^2))/(4*B^4*cos(x)^4 + A^4 + 2*A^2*B^2 + B^4 - (A^4 + 6*A^2*B^2 + 5*B^4)*cos(x)^2)) - 1/2*B*arctan(sin(x)/cos(x)) - 1/2*A*log(-B^2*cos(x)^2 + A*B*cos(x)*sin(x) + A^2 + B^2 + sqrt(-B^2*cos(x)^2 + A^2 + B^2)*(A*cos(x) + B*sin(x))) + 1/2*A*log(-B^2*cos(x)^2 - A*B*cos(x)*sin(x) + A^2 + B^2 - sqrt(-B^2*cos(x)^2 + A^2 + B^2)*(A*cos(x) - B*sin(x)))","B",0
43,1,9,0,0.832985," ","integrate(1/(1+cos(x)),x, algorithm=""fricas"")","\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}"," ",0,"sin(x)/(cos(x) + 1)","A",0
44,1,6,0,0.977292," ","integrate(exp(x)*x,x, algorithm=""fricas"")","{\left(x - 1\right)} e^{x}"," ",0,"(x - 1)*e^x","A",0
45,1,8,0,1.081111," ","integrate(exp(x)*x/(1+x)^2,x, algorithm=""fricas"")","\frac{e^{x}}{x + 1}"," ",0,"e^x/(x + 1)","A",0
46,1,6,0,0.825397," ","integrate(exp(x^2)*(2*x^2+1),x, algorithm=""fricas"")","x e^{\left(x^{2}\right)}"," ",0,"x*e^(x^2)","A",0
47,1,7,0,1.131675," ","integrate(exp(x^2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{\pi} \operatorname{erfi}\left(x\right)"," ",0,"1/2*sqrt(pi)*erfi(x)","A",0
48,1,2,0,0.949366," ","integrate(exp(x)/x,x, algorithm=""fricas"")","{\rm Ei}\left(x\right)"," ",0,"Ei(x)","A",0
49,1,34,0,0.656992," ","integrate(x/(x^3+1),x, algorithm=""fricas"")","\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
50,1,65,0,0.745632," ","integrate(1/(x^6-1),x, algorithm=""fricas"")","-\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
51,1,27,0,0.781504," ","integrate(1/(A^4-A^2*B^2+(-A^2+B^2)*x^2),x, algorithm=""fricas"")","\frac{\log\left(A + x\right) - \log\left(-A + x\right)}{2 \, {\left(A^{3} - A B^{2}\right)}}"," ",0,"1/2*(log(A + x) - log(-A + x))/(A^3 - A*B^2)","A",0
52,1,13,0,1.065447," ","integrate(x*log(x),x, algorithm=""fricas"")","\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
53,1,24,0,1.056004," ","integrate(x^2*arcsin(x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \arcsin\left(x\right) + \frac{1}{9} \, {\left(x^{2} + 2\right)} \sqrt{-x^{2} + 1}"," ",0,"1/3*x^3*arcsin(x) + 1/9*(x^2 + 2)*sqrt(-x^2 + 1)","A",0
54,1,7,0,0.836120," ","integrate(1/(x^2+2*x+1),x, algorithm=""fricas"")","-\frac{1}{x + 1}"," ",0,"-1/(x + 1)","A",0
55,1,8,0,0.634332," ","integrate(log(x)/(1+log(x))^2,x, algorithm=""fricas"")","\frac{x}{\log\left(x\right) + 1}"," ",0,"x/(log(x) + 1)","A",0
56,1,3,0,1.209686," ","integrate(1/x/(1+log(x)^2),x, algorithm=""fricas"")","\arctan\left(\log\left(x\right)\right)"," ",0,"arctan(log(x))","A",0
57,1,2,0,1.073958," ","integrate(1/log(x),x, algorithm=""fricas"")","\operatorname{log\_integral}\left(x\right)"," ",0,"log_integral(x)","A",0
58,1,14,0,0.970348," ","integrate(x*(cos(x)+sin(x)),x, algorithm=""fricas"")","-{\left(x - 1\right)} \cos\left(x\right) + {\left(x + 1\right)} \sin\left(x\right)"," ",0,"-(x - 1)*cos(x) + (x + 1)*sin(x)","A",0
59,1,14,0,0.849684," ","integrate((x+exp(x))/exp(x),x, algorithm=""fricas"")","{\left(x e^{x} - x - 1\right)} e^{\left(-x\right)}"," ",0,"(x*e^x - x - 1)*e^(-x)","A",0
60,1,24,0,0.958452," ","integrate((1+exp(x))^2*x,x, algorithm=""fricas"")","\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
61,1,7,0,0.868178," ","integrate(x*cos(x),x, algorithm=""fricas"")","x \sin\left(x\right) + \cos\left(x\right)"," ",0,"x*sin(x) + cos(x)","A",0
62,1,16,0,0.973459," ","integrate(cos(x^(1/2)),x, algorithm=""fricas"")","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
63,1,7,0,0.849242," ","integrate(x*cos(x),x, algorithm=""fricas"")","x \sin\left(x\right) + \cos\left(x\right)"," ",0,"x*sin(x) + cos(x)","A",0
64,1,22,0,1.134780," ","integrate(x*log(x)^2,x, algorithm=""fricas"")","\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
65,1,15,0,1.003072," ","integrate(cos(x)*(1+sin(x)^3),x, algorithm=""fricas"")","\frac{1}{4} \, \cos\left(x\right)^{4} - \frac{1}{2} \, \cos\left(x\right)^{2} + \sin\left(x\right)"," ",0,"1/4*cos(x)^4 - 1/2*cos(x)^2 + sin(x)","A",0
66,1,3,0,1.149317," ","integrate(1/x/(1+log(x)^2),x, algorithm=""fricas"")","\arctan\left(\log\left(x\right)\right)"," ",0,"arctan(log(x))","A",0
67,1,3,0,0.793131," ","integrate(1/(1+arcsin(x)^2)/(-x^2+1)^(1/2),x, algorithm=""fricas"")","\arctan\left(\arcsin\left(x\right)\right)"," ",0,"arctan(arcsin(x))","A",0
68,1,15,0,1.129181," ","integrate(sin(x)/(cos(x)+sin(x)),x, algorithm=""fricas"")","\frac{1}{2} \, x - \frac{1}{4} \, \log\left(2 \, \cos\left(x\right) \sin\left(x\right) + 1\right)"," ",0,"1/2*x - 1/4*log(2*cos(x)*sin(x) + 1)","A",0
69,1,128,0,1.096207," ","integrate(-(A^2+B^2*(-y^2+1))^(1/2)/(-y^2+1),y, algorithm=""fricas"")","B \arctan\left(\frac{\sqrt{-B^{2} y^{2} + A^{2} + B^{2}}}{B y}\right) - \frac{1}{4} \, A \log\left(-\frac{{\left(A^{2} - B^{2}\right)} y^{2} + 2 \, \sqrt{-B^{2} y^{2} + A^{2} + B^{2}} A y + A^{2} + B^{2}}{y^{2}}\right) + \frac{1}{4} \, A \log\left(-\frac{{\left(A^{2} - B^{2}\right)} y^{2} - 2 \, \sqrt{-B^{2} y^{2} + A^{2} + B^{2}} A y + A^{2} + B^{2}}{y^{2}}\right)"," ",0,"B*arctan(sqrt(-B^2*y^2 + A^2 + B^2)/(B*y)) - 1/4*A*log(-((A^2 - B^2)*y^2 + 2*sqrt(-B^2*y^2 + A^2 + B^2)*A*y + A^2 + B^2)/y^2) + 1/4*A*log(-((A^2 - B^2)*y^2 - 2*sqrt(-B^2*y^2 + A^2 + B^2)*A*y + A^2 + B^2)/y^2)","B",0
70,1,67,0,1.395066," ","integrate((-A^2-B^2)*cos(z)^2/B/(1-(A^2+B^2)*sin(z)^2/B^2),z, algorithm=""fricas"")","-B z - \frac{1}{4} \, A \log\left(2 \, A B \cos\left(z\right) \sin\left(z\right) - {\left(A^{2} - B^{2}\right)} \cos\left(z\right)^{2} + A^{2}\right) + \frac{1}{4} \, A \log\left(-2 \, A B \cos\left(z\right) \sin\left(z\right) - {\left(A^{2} - B^{2}\right)} \cos\left(z\right)^{2} + A^{2}\right)"," ",0,"-B*z - 1/4*A*log(2*A*B*cos(z)*sin(z) - (A^2 - B^2)*cos(z)^2 + A^2) + 1/4*A*log(-2*A*B*cos(z)*sin(z) - (A^2 - B^2)*cos(z)^2 + A^2)","B",0
71,1,26,0,0.757734," ","integrate((-A^2-B^2)/B/(w^2+1)^2/(1-(A^2+B^2)*w^2/B^2/(w^2+1)),w, algorithm=""fricas"")","-B \arctan\left(w\right) - \frac{1}{2} \, A \log\left(A w + B\right) + \frac{1}{2} \, A \log\left(A w - B\right)"," ",0,"-B*arctan(w) - 1/2*A*log(A*w + B) + 1/2*A*log(A*w - B)","A",0
72,1,26,0,0.944236," ","integrate(-B*(A^2+B^2)/(w^2+1)/(-A^2*w^2+B^2),w, algorithm=""fricas"")","-B \arctan\left(w\right) - \frac{1}{2} \, A \log\left(A w + B\right) + \frac{1}{2} \, A \log\left(A w - B\right)"," ",0,"-B*arctan(w) - 1/2*A*log(A*w + B) + 1/2*A*log(A*w - B)","A",0
73,1,63,0,0.932849," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""fricas"")","-\frac{6 \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \arctan\left(\frac{\sqrt{-x^{2} + 1} - 1}{x}\right) - {\left(4 \, x^{3} - 3 \, x\right)} \sqrt{-x^{2} + 1}}{3 \, {\left(x^{4} - 2 \, x^{2} + 1\right)}}"," ",0,"-1/3*(6*(x^4 - 2*x^2 + 1)*arctan((sqrt(-x^2 + 1) - 1)/x) - (4*x^3 - 3*x)*sqrt(-x^2 + 1))/(x^4 - 2*x^2 + 1)","B",0
74,1,26,0,1.123335," ","integrate(sin(y)^4/cos(y)^4,y, algorithm=""fricas"")","\frac{3 \, y \cos\left(y\right)^{3} - {\left(4 \, \cos\left(y\right)^{2} - 1\right)} \sin\left(y\right)}{3 \, \cos\left(y\right)^{3}}"," ",0,"1/3*(3*y*cos(y)^3 - (4*cos(y)^2 - 1)*sin(y))/cos(y)^3","B",0
75,1,11,0,0.801837," ","integrate(z^4/(z^2+1),z, algorithm=""fricas"")","\frac{1}{3} \, z^{3} - z + \arctan\left(z\right)"," ",0,"1/3*z^3 - z + arctan(z)","A",0
76,1,6,0,1.067075," ","integrate(exp(x^2)*(2*x^2+1),x, algorithm=""fricas"")","x e^{\left(x^{2}\right)}"," ",0,"x*e^(x^2)","A",0
77,1,23,0,1.083498," ","integrate(exp(x^2)*(2*x^6+5*x^4+x^3+4*x^2+1)/(x^2+1)^2,x, algorithm=""fricas"")","\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
78,1,8,0,0.867785," ","integrate(exp(-1-x),x, algorithm=""fricas"")","-e^{\left(-x - 1\right)}"," ",0,"-e^(-x - 1)","A",0
79,1,19,0,0.817394," ","integrate((1/x+x)*log(x),x, algorithm=""fricas"")","\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
80,1,6,0,0.827891," ","integrate(x/(x^4+1),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(x^{2}\right)"," ",0,"1/2*arctan(x^2)","A",0
81,1,12,0,1.333118," ","integrate(x^5/(x^4+1),x, algorithm=""fricas"")","\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
82,1,20,0,1.111032," ","integrate(1/(1+tan(x)^2),x, algorithm=""fricas"")","\frac{x \tan\left(x\right)^{2} + x + \tan\left(x\right)}{2 \, {\left(\tan\left(x\right)^{2} + 1\right)}}"," ",0,"1/2*(x*tan(x)^2 + x + tan(x))/(tan(x)^2 + 1)","A",0
83,1,63,0,0.766187," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""fricas"")","-\frac{6 \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \arctan\left(\frac{\sqrt{-x^{2} + 1} - 1}{x}\right) - {\left(4 \, x^{3} - 3 \, x\right)} \sqrt{-x^{2} + 1}}{3 \, {\left(x^{4} - 2 \, x^{2} + 1\right)}}"," ",0,"-1/3*(6*(x^4 - 2*x^2 + 1)*arctan((sqrt(-x^2 + 1) - 1)/x) - (4*x^3 - 3*x)*sqrt(-x^2 + 1))/(x^4 - 2*x^2 + 1)","B",0
84,1,45,0,0.985626," ","integrate(-x^2/(-x^2+1)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(x^{2} - 1\right)} \arctan\left(\frac{\sqrt{-x^{2} + 1} - 1}{x}\right) - \sqrt{-x^{2} + 1} x}{x^{2} - 1}"," ",0,"-(2*(x^2 - 1)*arctan((sqrt(-x^2 + 1) - 1)/x) - sqrt(-x^2 + 1)*x)/(x^2 - 1)","B",0
85,1,13,0,0.817231," ","integrate(exp(x)*sin(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(x\right) e^{x} + \frac{1}{2} \, e^{x} \sin\left(x\right)"," ",0,"-1/2*cos(x)*e^x + 1/2*e^x*sin(x)","A",0
86,1,2,0,1.121511," ","integrate(1/x,x, algorithm=""fricas"")","\log\left(x\right)"," ",0,"log(x)","A",0
87,1,71,0,1.370119," ","integrate(sec(2*t)/(1+sec(t)^2+3*tan(t)),t, algorithm=""fricas"")","\frac{4 \, {\left(\cos\left(t\right) + \sin\left(t\right)\right)} \log\left(\frac{3}{4} \, \cos\left(t\right)^{2} + \cos\left(t\right) \sin\left(t\right) + \frac{1}{4}\right) - 3 \, {\left(\cos\left(t\right) + \sin\left(t\right)\right)} \log\left(2 \, \cos\left(t\right) \sin\left(t\right) + 1\right) - {\left(\cos\left(t\right) + \sin\left(t\right)\right)} \log\left(-2 \, \cos\left(t\right) \sin\left(t\right) + 1\right) - 6 \, \cos\left(t\right) + 6 \, \sin\left(t\right)}{24 \, {\left(\cos\left(t\right) + \sin\left(t\right)\right)}}"," ",0,"1/24*(4*(cos(t) + sin(t))*log(3/4*cos(t)^2 + cos(t)*sin(t) + 1/4) - 3*(cos(t) + sin(t))*log(2*cos(t)*sin(t) + 1) - (cos(t) + sin(t))*log(-2*cos(t)*sin(t) + 1) - 6*cos(t) + 6*sin(t))/(cos(t) + sin(t))","A",0
88,1,10,0,0.994040," ","integrate(1/sec(x)^2,x, algorithm=""fricas"")","\frac{1}{2} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{2} \, x"," ",0,"1/2*cos(x)*sin(x) + 1/2*x","A",0
89,1,10,0,0.943791," ","integrate((x^2+1)/x^(1/2),x, algorithm=""fricas"")","\frac{2}{5} \, {\left(x^{2} + 5\right)} \sqrt{x}"," ",0,"2/5*(x^2 + 5)*sqrt(x)","A",0
90,1,27,0,1.011135," ","integrate(x/(x^2+2*x+5)^(1/2),x, algorithm=""fricas"")","\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
91,1,10,0,0.965675," ","integrate(cos(x)*sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{3} \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)"," ",0,"-1/3*(cos(x)^2 - 1)*sin(x)","A",0
92,1,5,0,1.009613," ","integrate(exp(x)/(1+exp(x)),x, algorithm=""fricas"")","\log\left(e^{x} + 1\right)"," ",0,"log(e^x + 1)","A",0
93,1,10,0,1.332173," ","integrate(exp(2*x)/(1+exp(x)),x, algorithm=""fricas"")","e^{x} - \log\left(e^{x} + 1\right)"," ",0,"e^x - log(e^x + 1)","A",0
94,1,10,0,0.768369," ","integrate(1/(1-cos(x)),x, algorithm=""fricas"")","-\frac{\cos\left(x\right) + 1}{\sin\left(x\right)}"," ",0,"-(cos(x) + 1)/sin(x)","A",0
95,1,6,0,0.975319," ","integrate(sec(x)^2*tan(x),x, algorithm=""fricas"")","\frac{1}{2 \, \cos\left(x\right)^{2}}"," ",0,"1/2/cos(x)^2","A",0
96,1,13,0,0.775962," ","integrate(x*log(x),x, algorithm=""fricas"")","\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
97,1,6,0,0.706108," ","integrate(cos(x)*sin(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(x\right)^{2}"," ",0,"-1/2*cos(x)^2","A",0
98,1,32,0,0.947973," ","integrate((1+x)/(-x^2+2*x)^(1/2),x, algorithm=""fricas"")","-\sqrt{-x^{2} + 2 \, x} - 4 \, \arctan\left(\frac{\sqrt{-x^{2} + 2 \, x}}{x}\right)"," ",0,"-sqrt(-x^2 + 2*x) - 4*arctan(sqrt(-x^2 + 2*x)/x)","A",0
99,1,19,0,1.019555," ","integrate(2*exp(x)/(2+3*exp(2*x)),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{3} \sqrt{2} e^{x}\right)"," ",0,"1/3*sqrt(3)*sqrt(2)*arctan(1/2*sqrt(3)*sqrt(2)*e^x)","A",0
100,1,63,0,0.951577," ","integrate(x^4/(-x^2+1)^(5/2),x, algorithm=""fricas"")","-\frac{6 \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \arctan\left(\frac{\sqrt{-x^{2} + 1} - 1}{x}\right) - {\left(4 \, x^{3} - 3 \, x\right)} \sqrt{-x^{2} + 1}}{3 \, {\left(x^{4} - 2 \, x^{2} + 1\right)}}"," ",0,"-1/3*(6*(x^4 - 2*x^2 + 1)*arctan((sqrt(-x^2 + 1) - 1)/x) - (4*x^3 - 3*x)*sqrt(-x^2 + 1))/(x^4 - 2*x^2 + 1)","B",0
101,1,14,0,0.913891," ","integrate(exp(6*x)/(1+exp(4*x)),x, algorithm=""fricas"")","-\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
102,1,32,0,0.992020," ","integrate(log(3*x^2+2),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{3} \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{3} \sqrt{2} x\right) + x \log\left(3 \, x^{2} + 2\right) - 2 \, x"," ",0,"2/3*sqrt(3)*sqrt(2)*arctan(1/2*sqrt(3)*sqrt(2)*x) + x*log(3*x^2 + 2) - 2*x","A",0
103,1,31,0,0.957849," ","integrate(1/r/(2*H*r^2-a^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2 \, H r^{2} - a^{2}} x}{2 \, H r^{3} - a^{2} r}"," ",0,"sqrt(2*H*r^2 - a^2)*x/(2*H*r^3 - a^2*r)","A",0
104,1,40,0,1.062663," ","integrate(1/r/(2*H*r^2-a^2-e^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2 \, H r^{2} - a^{2} - e^{2}} x}{2 \, H r^{3} - {\left(a^{2} + e^{2}\right)} r}"," ",0,"sqrt(2*H*r^2 - a^2 - e^2)*x/(2*H*r^3 - (a^2 + e^2)*r)","A",0
105,1,43,0,1.080011," ","integrate(1/r/(-2*K*r^4+2*H*r^2-a^2)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{-2 \, K r^{4} + 2 \, H r^{2} - a^{2}} x}{2 \, K r^{5} - 2 \, H r^{3} + a^{2} r}"," ",0,"-sqrt(-2*K*r^4 + 2*H*r^2 - a^2)*x/(2*K*r^5 - 2*H*r^3 + a^2*r)","A",0
106,1,52,0,1.007803," ","integrate(1/r/(-2*K*r^4+2*H*r^2-a^2-e^2)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{-2 \, K r^{4} + 2 \, H r^{2} - a^{2} - e^{2}} x}{2 \, K r^{5} - 2 \, H r^{3} + {\left(a^{2} + e^{2}\right)} r}"," ",0,"-sqrt(-2*K*r^4 + 2*H*r^2 - a^2 - e^2)*x/(2*K*r^5 - 2*H*r^3 + (a^2 + e^2)*r)","A",0
107,1,41,0,0.747705," ","integrate(1/r/(2*H*r^2-2*K*r-a^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2 \, H r^{2} - a^{2} - 2 \, K r} x}{2 \, H r^{3} - a^{2} r - 2 \, K r^{2}}"," ",0,"sqrt(2*H*r^2 - a^2 - 2*K*r)*x/(2*H*r^3 - a^2*r - 2*K*r^2)","A",0
108,1,50,0,0.971660," ","integrate(1/r/(2*H*r^2-2*K*r-a^2-e^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2 \, H r^{2} - a^{2} - e^{2} - 2 \, K r} x}{2 \, H r^{3} - 2 \, K r^{2} - {\left(a^{2} + e^{2}\right)} r}"," ",0,"sqrt(2*H*r^2 - a^2 - e^2 - 2*K*r)*x/(2*H*r^3 - 2*K*r^2 - (a^2 + e^2)*r)","A",0
109,1,17,0,0.722726," ","integrate(r/(2*E*r^2-a^2)^(1/2),x, algorithm=""fricas"")","\frac{r x}{\sqrt{2 \, E r^{2} - a^{2}}}"," ",0,"r*x/sqrt(2*E*r^2 - a^2)","A",0
110,1,22,0,0.996774," ","integrate(r/(2*E*r^2-a^2-e^2)^(1/2),x, algorithm=""fricas"")","\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
111,1,42,0,0.897584," ","integrate(r/(-2*K*r^4+2*E*r^2-a^2)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{-2 \, K r^{4} + 2 \, E r^{2} - a^{2}} r x}{2 \, K r^{4} - 2 \, E r^{2} + a^{2}}"," ",0,"-sqrt(-2*K*r^4 + 2*E*r^2 - a^2)*r*x/(2*K*r^4 - 2*E*r^2 + a^2)","A",0
112,1,50,0,0.549281," ","integrate(r/(-2*K*r^4+2*E*r^2-a^2-e^2)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{-2 \, K r^{4} + 2 \, E r^{2} - a^{2} - e^{2}} r x}{2 \, K r^{4} - 2 \, E r^{2} + a^{2} + e^{2}}"," ",0,"-sqrt(-2*K*r^4 + 2*E*r^2 - a^2 - e^2)*r*x/(2*K*r^4 - 2*E*r^2 + a^2 + e^2)","A",0
113,1,26,0,1.040678," ","integrate(r/(2*H*r^2-2*K*r-a^2-e^2)^(1/2),x, algorithm=""fricas"")","\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
