1,1,14,10,0.000000," ","int(cot(x)^4,x)","-\frac{\left(\cot^{3}\left(x \right)\right)}{3}+x +\cot \left(x \right)-\frac{\pi}{2}"," ",0,"-1/3*cot(x)^3+x+cot(x)-1/2*Pi","A"
2,1,12,11,0.007000," ","int(1/x^4/(x^2+1),x)","\arctan \left(x \right)+\frac{1}{x}-\frac{1}{3 x^{3}}"," ",0,"-1/3/x^3+1/x+arctan(x)","A"
3,1,11,11,0.003000," ","int((x^2+x)/x^(1/2),x)","\frac{2 \left(3 x +5\right) x^{\frac{3}{2}}}{15}"," ",0,"2/15*x^(3/2)*(3*x+5)","A"
4,1,3,2,0.000000," ","int(cos(x),x)","\sin \left(x \right)"," ",0,"sin(x)","A"
5,1,7,6,0.000000," ","int(x*exp(x^2),x)","\frac{{\mathrm e}^{x^{2}}}{2}"," ",0,"1/2*exp(x^2)","A"
6,1,7,6,0.018000," ","int(sec(x)^2*tan(x),x)","\frac{\left(\sec^{2}\left(x \right)\right)}{2}"," ",0,"1/2*sec(x)^2","A"
7,1,10,9,0.000000," ","int((x^2+1)^(1/2)*x,x)","\frac{\left(x^{2}+1\right)^{\frac{3}{2}}}{3}"," ",0,"1/3*(x^2+1)^(3/2)","A"
8,1,14,13,0.000000," ","int(exp(x)*sin(x),x)","-\frac{\cos \left(x \right) {\mathrm e}^{x}}{2}+\frac{{\mathrm e}^{x} \sin \left(x \right)}{2}"," ",0,"-1/2*cos(x)*exp(x)+1/2*exp(x)*sin(x)","A"
9,1,7,6,0.033000," ","int(cos(x)*csc(x)^2/sin(x)^2,x)","-\frac{1}{3 \sin \left(x \right)^{3}}"," ",0,"-1/3/sin(x)^3","A"
10,1,4,3,0.014000," ","int(sin(exp(x)),x)","\Si \left({\mathrm e}^{x}\right)"," ",0,"Si(exp(x))","A"
11,1,3,2,0.001000," ","int(sin(y)/y,y)","\Si \left(y \right)"," ",0,"Si(y)","A"
12,1,8,7,0.003000," ","int(exp(x)+sin(x),x)","-\cos \left(x \right)+{\mathrm e}^{x}"," ",0,"exp(x)-cos(x)","A"
13,1,7,6,0.004000," ","int(exp(x^2)+2*exp(x^2)*x^2,x)","x \,{\mathrm e}^{x^{2}}"," ",0,"x*exp(x^2)","A"
14,1,22,21,0.007000," ","int((x+exp(x))^2,x)","\frac{x^{3}}{3}+2 x \,{\mathrm e}^{x}-2 \,{\mathrm e}^{x}+\frac{{\mathrm e}^{2 x}}{2}"," ",0,"1/3*x^3+1/2*exp(x)^2+2*exp(x)*x-2*exp(x)","A"
15,1,17,16,0.001000," ","int(2*exp(x)+exp(2*x)+x^2,x)","\frac{x^{3}}{3}+2 \,{\mathrm e}^{x}+\frac{{\mathrm e}^{2 x}}{2}"," ",0,"2*exp(x)+1/2*exp(2*x)+1/3*x^3","A"
16,1,7,6,0.002000," ","int(cos(x)*sin(x),x)","\frac{\left(\sin^{2}\left(x \right)\right)}{2}"," ",0,"1/2*sin(x)^2","A"
17,1,7,6,0.000000," ","int(x*exp(x^2),x)","\frac{{\mathrm e}^{x^{2}}}{2}"," ",0,"1/2*exp(x^2)","A"
18,1,10,9,0.000000," ","int((x^2+1)^(1/2)*x,x)","\frac{\left(x^{2}+1\right)^{\frac{3}{2}}}{3}"," ",0,"1/3*(x^2+1)^(3/2)","A"
19,1,6,5,0.002000," ","int(exp(x)/(exp(x)+1),x)","\ln \left({\mathrm e}^{x}+1\right)"," ",0,"ln(exp(x)+1)","A"
20,1,6,5,0.003000," ","int(x^(3/2),x)","\frac{2 x^{\frac{5}{2}}}{5}"," ",0,"2/5*x^(5/2)","A"
21,1,9,8,0.018000," ","int(cos(2*x+3),x)","\frac{\sin \left(2 x +3\right)}{2}"," ",0,"1/2*sin(2*x+3)","A"
22,1,8,7,0.003000," ","int(2*exp(2*x)*y*z,x)","y z \,{\mathrm e}^{2 x}"," ",0,"exp(2*x)*y*z","A"
23,1,8,7,0.014000," ","int(exp(x)*cos(exp(x))^2*sin(exp(x)),x)","-\frac{\left(\cos^{3}\left({\mathrm e}^{x}\right)\right)}{3}"," ",0,"-1/3*cos(exp(x))^3","A"
24,1,13,15,0.003000," ","int(x*(x+1)^(1/2),x)","\frac{2 \left(x +1\right)^{\frac{3}{2}} \left(3 x -2\right)}{15}"," ",0,"2/15*(x+1)^(3/2)*(3*x-2)","A"
25,1,10,9,0.000000," ","int(1/(x^4-1),x)","-\frac{\arctanh \left(x \right)}{2}-\frac{\arctan \left(x \right)}{2}"," ",0,"-1/2*arctan(x)-1/2*arctanh(x)","A"
26,1,14,13,0.007000," ","int(exp(x)/(2+3*exp(2*x)),x)","\frac{\sqrt{6}\, \arctan \left(\frac{\sqrt{6}\, {\mathrm e}^{x}}{2}\right)}{6}"," ",0,"1/6*arctan(1/2*exp(x)*6^(1/2))*6^(1/2)","A"
27,1,20,20,0.016000," ","int(exp(2*x)/(A+B*exp(4*x)),x)","\frac{\arctan \left(\frac{B \,{\mathrm e}^{2 x}}{\sqrt{A B}}\right)}{2 \sqrt{A B}}"," ",0,"1/2/(A*B)^(1/2)*arctan(B*exp(x)^2/(A*B)^(1/2))","A"
28,1,9,7,0.007000," ","int(exp(x+1)/(exp(x)+1),x)","{\mathrm e} \ln \left({\mathrm e}^{x}+1\right)"," ",0,"exp(1)*ln(exp(x)+1)","A"
29,1,13,12,0.018000," ","int((10*E)^x,x)","\frac{\left(10 E \right)^{x}}{\ln \left(10 E \right)}"," ",0,"1/ln(10*E)*(10*E)^x","A"
30,1,17,16,0.004000," ","int(x^3*sin(x^2),x)","-\frac{x^{2} \cos \left(x^{2}\right)}{2}+\frac{\sin \left(x^{2}\right)}{2}"," ",0,"-1/2*x^2*cos(x^2)+1/2*sin(x^2)","A"
31,1,41,40,0.004000," ","int(x^7/(x^12+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{4}-1\right) \sqrt{3}}{3}\right)}{12}-\frac{\ln \left(x^{4}+1\right)}{12}+\frac{\ln \left(x^{8}-x^{4}+1\right)}{24}"," ",0,"-1/12*ln(x^4+1)+1/24*ln(x^8-x^4+1)+1/12*3^(1/2)*arctan(1/3*(2*x^4-1)*3^(1/2))","A"
32,1,41,101,0.164000," ","int(x^(3*a)*sin(x^(2*a)),x)","\frac{x^{5 a +1} \hypergeom \left(\left[\frac{1}{4 a}+\frac{5}{4}\right], \left[\frac{3}{2}, \frac{1}{4 a}+\frac{9}{4}\right], -\frac{x^{4 a}}{4}\right)}{5 a +1}"," ",0,"1/(5*a+1)*x^(5*a+1)*hypergeom([5/4+1/4/a],[3/2,9/4+1/4/a],-1/4*x^(4*a))","C"
33,1,17,16,0.029000," ","int(cos(x^(1/2)),x)","2 \sqrt{x}\, \sin \left(\sqrt{x}\right)+2 \cos \left(\sqrt{x}\right)"," ",0,"2*cos(x^(1/2))+2*sin(x^(1/2))*x^(1/2)","A"
34,1,13,15,0.000000," ","int(x*(x+1)^(1/2),x)","\frac{2 \left(x +1\right)^{\frac{3}{2}} \left(3 x -2\right)}{15}"," ",0,"2/15*(x+1)^(3/2)*(3*x-2)","A"
35,1,92,24,0.002000," ","int(1/(x^(1/3)+x^(1/2)),x)","-\ln \left(x -1\right)-2 \ln \left(x^{\frac{1}{6}}+1\right)+\ln \left(\sqrt{x}-1\right)-\ln \left(\sqrt{x}+1\right)-2 \ln \left(x^{\frac{1}{3}}-1\right)+2 \ln \left(x^{\frac{1}{6}}-1\right)+\ln \left(x^{\frac{1}{3}}-x^{\frac{1}{6}}+1\right)-\ln \left(x^{\frac{1}{3}}+x^{\frac{1}{6}}+1\right)+\ln \left(x^{\frac{2}{3}}+x^{\frac{1}{3}}+1\right)+2 \sqrt{x}-3 x^{\frac{1}{3}}+6 x^{\frac{1}{6}}"," ",0,"-ln(x-1)-2*ln(x^(1/6)+1)+ln(x^(1/2)-1)-ln(x^(1/2)+1)-2*ln(x^(1/3)-1)+2*ln(x^(1/6)-1)+ln(x^(1/3)-x^(1/6)+1)-ln(x^(1/3)+x^(1/6)+1)+ln(x^(2/3)+x^(1/3)+1)+2*x^(1/2)-3*x^(1/3)+6*x^(1/6)","B"
36,1,76,30,0.012000," ","int(((x+1)/(2*x+3))^(1/2),x)","\frac{\sqrt{\frac{x +1}{2 x +3}}\, \left(2 x +3\right) \left(-\sqrt{2}\, \ln \left(\sqrt{2}\, x +\frac{5 \sqrt{2}}{4}+\sqrt{2 x^{2}+5 x +3}\right)+4 \sqrt{2 x^{2}+5 x +3}\right)}{8 \sqrt{\left(2 x +3\right) \left(x +1\right)}}"," ",0,"1/8*((x+1)/(2*x+3))^(1/2)*(2*x+3)*(-ln(5/4*2^(1/2)+2^(1/2)*x+(2*x^2+5*x+3)^(1/2))*2^(1/2)+4*(2*x^2+5*x+3)^(1/2))/((2*x+3)*(x+1))^(1/2)","B"
37,1,30,29,0.006000," ","int(x^4/(-x^2+1)^(5/2),x)","\frac{x^{3}}{3 \left(-x^{2}+1\right)^{\frac{3}{2}}}-\frac{x}{\sqrt{-x^{2}+1}}+\arcsin \left(x \right)"," ",0,"1/3*x^3/(-x^2+1)^(3/2)+arcsin(x)-1/(-x^2+1)^(1/2)*x","A"
38,1,70,47,0.003000," ","int(x^(1/2)*(x+1)^(5/2),x)","\frac{\left(x +1\right)^{\frac{7}{2}} \sqrt{x}}{4}-\frac{\left(x +1\right)^{\frac{5}{2}} \sqrt{x}}{24}-\frac{5 \left(x +1\right)^{\frac{3}{2}} \sqrt{x}}{96}-\frac{5 \sqrt{x +1}\, \sqrt{x}}{64}-\frac{5 \sqrt{\left(x +1\right) x}\, \ln \left(x +\frac{1}{2}+\sqrt{x^{2}+x}\right)}{128 \sqrt{x +1}\, \sqrt{x}}"," ",0,"1/4*x^(1/2)*(x+1)^(7/2)-1/24*x^(1/2)*(x+1)^(5/2)-5/96*x^(1/2)*(x+1)^(3/2)-5/64*(x+1)^(1/2)*x^(1/2)-5/128*((x+1)*x)^(1/2)/(x+1)^(1/2)/x^(1/2)*ln(x+1/2+(x^2+x)^(1/2))","A"
39,1,30,29,0.000000," ","int(x^4/(-x^2+1)^(5/2),x)","\frac{x^{3}}{3 \left(-x^{2}+1\right)^{\frac{3}{2}}}-\frac{x}{\sqrt{-x^{2}+1}}+\arcsin \left(x \right)"," ",0,"1/3/(-x^2+1)^(3/2)*x^3-1/(-x^2+1)^(1/2)*x+arcsin(x)","A"
40,1,262,47,0.032000," ","int((-B^2*y^2+A^2+B^2)^(1/2)/(-y^2+1),y)","-\frac{A^{2} \ln \left(\frac{2 A^{2}+2 \left(y +1\right) B^{2}+2 \sqrt{A^{2}}\, \sqrt{A^{2}-\left(y +1\right)^{2} B^{2}+2 \left(y +1\right) B^{2}}}{y +1}\right)}{2 \sqrt{A^{2}}}+\frac{A^{2} \ln \left(\frac{2 A^{2}-2 \left(y -1\right) B^{2}+2 \sqrt{A^{2}}\, \sqrt{A^{2}-\left(y -1\right)^{2} B^{2}-2 \left(y -1\right) B^{2}}}{y -1}\right)}{2 \sqrt{A^{2}}}+\frac{B^{2} \arctan \left(\frac{\sqrt{B^{2}}\, y}{\sqrt{A^{2}-\left(y +1\right)^{2} B^{2}+2 \left(y +1\right) B^{2}}}\right)}{2 \sqrt{B^{2}}}+\frac{B^{2} \arctan \left(\frac{\sqrt{B^{2}}\, y}{\sqrt{A^{2}-\left(y -1\right)^{2} B^{2}-2 \left(y -1\right) B^{2}}}\right)}{2 \sqrt{B^{2}}}+\frac{\sqrt{A^{2}-\left(y +1\right)^{2} B^{2}+2 \left(y +1\right) B^{2}}}{2}-\frac{\sqrt{A^{2}-\left(y -1\right)^{2} B^{2}-2 \left(y -1\right) B^{2}}}{2}"," ",0,"1/2*(-B^2*(1+y)^2+2*B^2*(1+y)+A^2)^(1/2)+1/2*B^2/(B^2)^(1/2)*arctan((B^2)^(1/2)*y/(-B^2*(1+y)^2+2*B^2*(1+y)+A^2)^(1/2))-1/2*A^2/(A^2)^(1/2)*ln((2*A^2+2*B^2*(1+y)+2*(A^2)^(1/2)*(-B^2*(1+y)^2+2*B^2*(1+y)+A^2)^(1/2))/(1+y))-1/2*(-B^2*(y-1)^2-2*B^2*(y-1)+A^2)^(1/2)+1/2*B^2/(B^2)^(1/2)*arctan((B^2)^(1/2)*y/(-B^2*(y-1)^2-2*B^2*(y-1)+A^2)^(1/2))+1/2*A^2/(A^2)^(1/2)*ln((2*A^2-2*B^2*(y-1)+2*(A^2)^(1/2)*(-B^2*(y-1)^2-2*B^2*(y-1)+A^2)^(1/2))/(y-1))","B"
41,1,11,10,0.000000," ","int(sin(x)^2,x)","-\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}"," ",0,"-1/2*cos(x)*sin(x)+1/2*x","A"
42,1,149,45,0.193000," ","int((A^2+B^2*sin(x)^2)^(1/2)/sin(x),x)","-\frac{\sqrt{\left(B^{2} \left(\sin^{2}\left(x \right)\right)+A^{2}\right) \left(\cos^{2}\left(x \right)\right)}\, \left(A \,\mathrm{csgn}\left(A \right) \ln \left(-\frac{A^{2} \left(\sin^{2}\left(x \right)\right)-B^{2} \left(\sin^{2}\left(x \right)\right)-2 A^{2}-2 \sqrt{\left(B^{2} \left(\sin^{2}\left(x \right)\right)+A^{2}\right) \left(\cos^{2}\left(x \right)\right)}\, A \,\mathrm{csgn}\left(A \right)}{\sin \left(x \right)^{2}}\right)-B \arctan \left(\frac{\left(2 B^{2} \left(\sin^{2}\left(x \right)\right)+A^{2}-B^{2}\right) \mathrm{csgn}\left(B \right)}{2 \sqrt{\left(B^{2} \left(\sin^{2}\left(x \right)\right)+A^{2}\right) \left(\cos^{2}\left(x \right)\right)}\, B}\right) \mathrm{csgn}\left(B \right)\right)}{2 \sqrt{B^{2} \left(\sin^{2}\left(x \right)\right)+A^{2}}\, \cos \left(x \right)}"," ",0,"-1/2*((A^2+B^2*sin(x)^2)*cos(x)^2)^(1/2)*(A*csgn(A)*ln(-(A^2*sin(x)^2-B^2*sin(x)^2-2*csgn(A)*A*((A^2+B^2*sin(x)^2)*cos(x)^2)^(1/2)-2*A^2)/sin(x)^2)-B*csgn(B)*arctan(1/2*csgn(B)/B*(2*B^2*sin(x)^2+A^2-B^2)/((A^2+B^2*sin(x)^2)*cos(x)^2)^(1/2)))/cos(x)/(A^2+B^2*sin(x)^2)^(1/2)","C"
43,1,5,9,0.015000," ","int(1/(cos(x)+1),x)","\tan \left(\frac{x}{2}\right)"," ",0,"tan(1/2*x)","A"
44,1,7,9,0.000000," ","int(x*exp(x),x)","\left(x -1\right) {\mathrm e}^{x}"," ",0,"(x-1)*exp(x)","A"
45,1,9,8,0.003000," ","int(exp(x)*x/(x+1)^2,x)","\frac{{\mathrm e}^{x}}{x +1}"," ",0,"exp(x)/(x+1)","A"
46,1,7,6,0.003000," ","int(exp(x^2)*(2*x^2+1),x)","x \,{\mathrm e}^{x^{2}}"," ",0,"x*exp(x^2)","A"
47,1,8,7,0.001000," ","int(exp(x^2),x)","\frac{\sqrt{\pi}\, \erfi \left(x \right)}{2}"," ",0,"1/2*erfi(x)*Pi^(1/2)","A"
48,1,8,2,0.003000," ","int(exp(x)/x,x)","-\Ei \left(1, -x \right)"," ",0,"-Ei(1,-x)","B"
49,1,35,34,0.001000," ","int(x/(x^3+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}-\frac{\ln \left(x +1\right)}{3}+\frac{\ln \left(x^{2}-x +1\right)}{6}"," ",0,"1/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-1/3*ln(x+1)+1/6*ln(x^2-x+1)","A"
50,1,66,37,0.008000," ","int(1/(x^6-1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{\ln \left(x -1\right)}{6}-\frac{\ln \left(x +1\right)}{6}+\frac{\ln \left(x^{2}-x +1\right)}{12}-\frac{\ln \left(x^{2}+x +1\right)}{12}"," ",0,"-1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))-1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))+1/6*ln(x-1)-1/6*ln(x+1)+1/12*ln(x^2-x+1)-1/12*ln(x^2+x+1)","A"
51,1,44,21,0.009000," ","int(1/(A^4-A^2*B^2+(-A^2+B^2)*x^2),x)","-\frac{\ln \left(A -x \right)}{2 \left(A^{2}-B^{2}\right) A}+\frac{\ln \left(A +x \right)}{2 \left(A^{2}-B^{2}\right) A}"," ",0,"1/2/(A^2-B^2)/A*ln(A+x)-1/2/(A^2-B^2)/A*ln(A-x)","B"
52,1,14,13,0.005000," ","int(x*ln(x),x)","\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}"," ",0,"1/2*x^2*ln(x)-1/4*x^2","A"
53,1,34,30,0.001000," ","int(x^2*arcsin(x),x)","\frac{x^{3} \arcsin \left(x \right)}{3}+\frac{\sqrt{-x^{2}+1}\, x^{2}}{9}+\frac{2 \sqrt{-x^{2}+1}}{9}"," ",0,"1/3*x^3*arcsin(x)+1/9*(-x^2+1)^(1/2)*x^2+2/9*(-x^2+1)^(1/2)","A"
54,1,8,7,0.003000," ","int(1/(x^2+2*x+1),x)","-\frac{1}{x +1}"," ",0,"-1/(x+1)","A"
55,1,9,8,0.135000," ","int(ln(x)/(ln(x)+1)^2,x)","\frac{x}{\ln \left(x \right)+1}"," ",0,"x/(ln(x)+1)","A"
56,1,4,3,0.005000," ","int(1/x/(1+ln(x)^2),x)","\arctan \left(\ln \left(x \right)\right)"," ",0,"arctan(ln(x))","A"
57,1,9,2,0.000000," ","int(1/ln(x),x)","-\Ei \left(1, -\ln \left(x \right)\right)"," ",0,"-Ei(1,-ln(x))","B"
58,1,15,14,0.026000," ","int(x*(cos(x)+sin(x)),x)","-x \cos \left(x \right)+x \sin \left(x \right)+\cos \left(x \right)+\sin \left(x \right)"," ",0,"cos(x)-x*cos(x)+sin(x)+x*sin(x)","A"
59,1,16,15,0.003000," ","int((x+exp(x))/exp(x),x)","-x \,{\mathrm e}^{-x}+x -{\mathrm e}^{-x}"," ",0,"-1/exp(x)+x-x/exp(x)","A"
60,1,29,28,0.004000," ","int((exp(x)+1)^2*x,x)","\frac{x^{2}}{2}+2 x \,{\mathrm e}^{x}+\frac{x \,{\mathrm e}^{2 x}}{2}-2 \,{\mathrm e}^{x}-\frac{{\mathrm e}^{2 x}}{4}"," ",0,"1/2*x^2+1/2*exp(x)^2*x-1/4*exp(x)^2+2*x*exp(x)-2*exp(x)","A"
61,1,8,7,0.000000," ","int(x*cos(x),x)","x \sin \left(x \right)+\cos \left(x \right)"," ",0,"x*sin(x)+cos(x)","A"
62,1,17,16,0.001000," ","int(cos(x^(1/2)),x)","2 \sqrt{x}\, \sin \left(\sqrt{x}\right)+2 \cos \left(\sqrt{x}\right)"," ",0,"2*x^(1/2)*sin(x^(1/2))+2*cos(x^(1/2))","A"
63,1,8,7,0.000000," ","int(x*cos(x),x)","x \sin \left(x \right)+\cos \left(x \right)"," ",0,"x*sin(x)+cos(x)","A"
64,1,23,22,0.003000," ","int(x*ln(x)^2,x)","\frac{x^{2} \ln \left(x \right)^{2}}{2}-\frac{x^{2} \ln \left(x \right)}{2}+\frac{x^{2}}{4}"," ",0,"1/4*x^2-1/2*x^2*ln(x)+1/2*x^2*ln(x)^2","A"
65,1,10,9,0.031000," ","int(cos(x)*(1+sin(x)^3),x)","\frac{\left(\sin^{4}\left(x \right)\right)}{4}+\sin \left(x \right)"," ",0,"sin(x)+1/4*sin(x)^4","A"
66,1,4,3,0.001000," ","int(1/x/(1+ln(x)^2),x)","\arctan \left(\ln \left(x \right)\right)"," ",0,"arctan(ln(x))","A"
67,1,4,3,0.007000," ","int(1/(1+arcsin(x)^2)/(-x^2+1)^(1/2),x)","\arctan \left(\arcsin \left(x \right)\right)"," ",0,"arctan(arcsin(x))","A"
68,1,21,12,0.050000," ","int(sin(x)/(cos(x)+sin(x)),x)","\frac{x}{2}+\frac{\ln \left(\tan^{2}\left(x \right)+1\right)}{4}-\frac{\ln \left(\tan \left(x \right)+1\right)}{2}"," ",0,"-1/2*ln(tan(x)+1)+1/4*ln(tan(x)^2+1)+1/2*x","A"
69,1,262,49,0.008000," ","int(-(A^2+B^2*(-y^2+1))^(1/2)/(-y^2+1),y)","\frac{A^{2} \ln \left(\frac{2 A^{2}+2 \left(y +1\right) B^{2}+2 \sqrt{A^{2}}\, \sqrt{A^{2}-\left(y +1\right)^{2} B^{2}+2 \left(y +1\right) B^{2}}}{y +1}\right)}{2 \sqrt{A^{2}}}-\frac{A^{2} \ln \left(\frac{2 A^{2}-2 \left(y -1\right) B^{2}+2 \sqrt{A^{2}}\, \sqrt{A^{2}-\left(y -1\right)^{2} B^{2}-2 \left(y -1\right) B^{2}}}{y -1}\right)}{2 \sqrt{A^{2}}}-\frac{B^{2} \arctan \left(\frac{\sqrt{B^{2}}\, y}{\sqrt{A^{2}-\left(y +1\right)^{2} B^{2}+2 \left(y +1\right) B^{2}}}\right)}{2 \sqrt{B^{2}}}-\frac{B^{2} \arctan \left(\frac{\sqrt{B^{2}}\, y}{\sqrt{A^{2}-\left(y -1\right)^{2} B^{2}-2 \left(y -1\right) B^{2}}}\right)}{2 \sqrt{B^{2}}}-\frac{\sqrt{A^{2}-\left(y +1\right)^{2} B^{2}+2 \left(y +1\right) B^{2}}}{2}+\frac{\sqrt{A^{2}-\left(y -1\right)^{2} B^{2}-2 \left(y -1\right) B^{2}}}{2}"," ",0,"-1/2*(A^2-(y+1)^2*B^2+2*(y+1)*B^2)^(1/2)-1/2/(B^2)^(1/2)*B^2*arctan((B^2)^(1/2)/(A^2-(y+1)^2*B^2+2*(y+1)*B^2)^(1/2)*y)+1/2/(A^2)^(1/2)*A^2*ln((2*A^2+2*(y+1)*B^2+2*(A^2)^(1/2)*(A^2-(y+1)^2*B^2+2*(y+1)*B^2)^(1/2))/(y+1))+1/2*(A^2-(y-1)^2*B^2-2*(y-1)*B^2)^(1/2)-1/2/(B^2)^(1/2)*B^2*arctan((B^2)^(1/2)/(A^2-(y-1)^2*B^2-2*(y-1)*B^2)^(1/2)*y)-1/2/(A^2)^(1/2)*A^2*ln((2*A^2-2*(y-1)*B^2+2*(A^2)^(1/2)*(A^2-(y-1)^2*B^2-2*(y-1)*B^2)^(1/2))/(y-1))","B"
70,1,127,16,0.074000," ","int((-A^2-B^2)*cos(z)^2/B/(1-(A^2+B^2)*sin(z)^2/B^2),z)","\frac{A^{3} \ln \left(A \tan \left(z \right)-B \right)}{2 A^{2}+2 B^{2}}-\frac{A^{3} \ln \left(A \tan \left(z \right)+B \right)}{2 \left(A^{2}+B^{2}\right)}-\frac{A^{2} B \arctan \left(\tan \left(z \right)\right)}{A^{2}+B^{2}}+\frac{A \,B^{2} \ln \left(A \tan \left(z \right)-B \right)}{2 A^{2}+2 B^{2}}-\frac{A \,B^{2} \ln \left(A \tan \left(z \right)+B \right)}{2 \left(A^{2}+B^{2}\right)}-\frac{B^{3} \arctan \left(\tan \left(z \right)\right)}{A^{2}+B^{2}}"," ",0,"-1/2*A^3/(A^2+B^2)*ln(A*tan(z)+B)-1/2*A*B^2/(A^2+B^2)*ln(A*tan(z)+B)+1/2*A^3/(A^2+B^2)*ln(A*tan(z)-B)+1/2*A*B^2/(A^2+B^2)*ln(A*tan(z)-B)-B/(A^2+B^2)*arctan(tan(z))*A^2-1/(A^2+B^2)*arctan(tan(z))*B^3","B"
71,1,121,16,0.010000," ","int((-A^2-B^2)/B/(w^2+1)^2/(1-(A^2+B^2)*w^2/B^2/(w^2+1)),w)","\frac{A^{3} \ln \left(A w -B \right)}{2 A^{2}+2 B^{2}}-\frac{A^{3} \ln \left(A w +B \right)}{2 \left(A^{2}+B^{2}\right)}-\frac{A^{2} B \arctan \left(w \right)}{A^{2}+B^{2}}+\frac{A \,B^{2} \ln \left(A w -B \right)}{2 A^{2}+2 B^{2}}-\frac{A \,B^{2} \ln \left(A w +B \right)}{2 \left(A^{2}+B^{2}\right)}-\frac{B^{3} \arctan \left(w \right)}{A^{2}+B^{2}}"," ",0,"-1/2*A^3/(A^2+B^2)*ln(A*w+B)-1/2*A*B^2/(A^2+B^2)*ln(A*w+B)+1/2*A^3/(A^2+B^2)*ln(A*w-B)+1/2*A*B^2/(A^2+B^2)*ln(A*w-B)-B/(A^2+B^2)*arctan(w)*A^2-1/(A^2+B^2)*arctan(w)*B^3","B"
72,1,121,16,0.009000," ","int(-B*(A^2+B^2)/(w^2+1)/(-A^2*w^2+B^2),w)","\frac{A^{3} \ln \left(A w -B \right)}{2 A^{2}+2 B^{2}}-\frac{A^{3} \ln \left(A w +B \right)}{2 \left(A^{2}+B^{2}\right)}-\frac{A^{2} B \arctan \left(w \right)}{A^{2}+B^{2}}+\frac{A \,B^{2} \ln \left(A w -B \right)}{2 A^{2}+2 B^{2}}-\frac{A \,B^{2} \ln \left(A w +B \right)}{2 \left(A^{2}+B^{2}\right)}-\frac{B^{3} \arctan \left(w \right)}{A^{2}+B^{2}}"," ",0,"1/2/(A^2+B^2)*A^3*ln(A*w-B)-1/2/(A^2+B^2)*A^3*ln(A*w+B)-1/(A^2+B^2)*A^2*B*arctan(w)+1/2/(A^2+B^2)*A*B^2*ln(A*w-B)-1/2/(A^2+B^2)*A*B^2*ln(A*w+B)-1/(A^2+B^2)*B^3*arctan(w)","B"
73,1,30,29,0.001000," ","int(x^4/(-x^2+1)^(5/2),x)","\frac{x^{3}}{3 \left(-x^{2}+1\right)^{\frac{3}{2}}}-\frac{x}{\sqrt{-x^{2}+1}}+\arcsin \left(x \right)"," ",0,"1/3/(-x^2+1)^(3/2)*x^3-1/(-x^2+1)^(1/2)*x+arcsin(x)","A"
74,1,13,12,0.024000," ","int(sin(y)^4/cos(y)^4,y)","\frac{\left(\tan^{3}\left(y \right)\right)}{3}+y -\tan \left(y \right)"," ",0,"y-tan(y)+1/3*tan(y)^3","A"
75,1,12,11,0.002000," ","int(z^4/(z^2+1),z)","\frac{z^{3}}{3}-z +\arctan \left(z \right)"," ",0,"-z+1/3*z^3+arctan(z)","A"
76,1,7,6,0.001000," ","int(exp(x^2)*(2*x^2+1),x)","x \,{\mathrm e}^{x^{2}}"," ",0,"x*exp(x^2)","A"
77,1,24,20,0.005000," ","int(exp(x^2)*(2*x^6+5*x^4+x^3+4*x^2+1)/(x^2+1)^2,x)","\frac{\left(2 x^{3}+2 x +1\right) {\mathrm e}^{x^{2}}}{2 x^{2}+2}"," ",0,"1/2*(2*x^3+2*x+1)*exp(x^2)/(x^2+1)","A"
78,1,9,8,0.001000," ","int(exp(-x-1),x)","-{\mathrm e}^{-x -1}"," ",0,"-exp(-x-1)","A"
79,1,20,19,0.004000," ","int((1/x+x)*ln(x),x)","\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}+\frac{\ln \left(x \right)^{2}}{2}"," ",0,"-1/4*x^2+1/2*x^2*ln(x)+1/2*ln(x)^2","A"
80,1,7,6,0.001000," ","int(x/(x^4+1),x)","\frac{\arctan \left(x^{2}\right)}{2}"," ",0,"1/2*arctan(x^2)","A"
81,1,13,12,0.004000," ","int(x^5/(x^4+1),x)","\frac{x^{2}}{2}-\frac{\arctan \left(x^{2}\right)}{2}"," ",0,"1/2*x^2-1/2*arctan(x^2)","A"
82,1,17,10,0.022000," ","int(1/(tan(x)^2+1),x)","\frac{x}{2}+\frac{\tan \left(x \right)}{2 \left(\tan^{2}\left(x \right)\right)+2}"," ",0,"1/2/(tan(x)^2+1)*tan(x)+1/2*x","A"
83,1,30,29,0.000000," ","int(x^4/(-x^2+1)^(5/2),x)","\frac{x^{3}}{3 \left(-x^{2}+1\right)^{\frac{3}{2}}}-\frac{x}{\sqrt{-x^{2}+1}}+\arcsin \left(x \right)"," ",0,"1/3/(-x^2+1)^(3/2)*x^3-1/(-x^2+1)^(1/2)*x+arcsin(x)","A"
84,1,16,15,0.005000," ","int(-x^2/(-x^2+1)^(3/2),x)","-\frac{x}{\sqrt{-x^{2}+1}}+\arcsin \left(x \right)"," ",0,"arcsin(x)-1/(-x^2+1)^(1/2)*x","A"
85,1,14,13,0.001000," ","int(exp(x)*sin(x),x)","-\frac{\cos \left(x \right) {\mathrm e}^{x}}{2}+\frac{{\mathrm e}^{x} \sin \left(x \right)}{2}"," ",0,"-1/2*cos(x)*exp(x)+1/2*exp(x)*sin(x)","A"
86,1,3,2,0.002000," ","int(1/x,x)","\ln \left(x \right)"," ",0,"ln(x)","A"
87,1,31,37,0.274000," ","int(sec(2*t)/(1+sec(t)^2+3*tan(t)),t)","-\frac{\ln \left(\tan \left(t \right)+1\right)}{4}-\frac{\ln \left(\tan \left(t \right)-1\right)}{12}+\frac{\ln \left(\tan \left(t \right)+2\right)}{3}-\frac{1}{2 \left(\tan \left(t \right)+1\right)}"," ",0,"-1/2/(1+tan(t))-1/4*ln(1+tan(t))+1/3*ln(tan(t)+2)-1/12*ln(tan(t)-1)","A"
88,1,11,10,0.000000," ","int(1/sec(x)^2,x)","\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}"," ",0,"1/2*cos(x)*sin(x)+1/2*x","A"
89,1,11,11,0.006000," ","int((x^2+1)/x^(1/2),x)","\frac{2 \left(x^{2}+5\right) \sqrt{x}}{5}"," ",0,"2/5*x^(1/2)*(x^2+5)","A"
90,1,20,19,0.005000," ","int(x/(x^2+2*x+5)^(1/2),x)","-\arcsinh \left(\frac{x}{2}+\frac{1}{2}\right)+\sqrt{x^{2}+2 x +5}"," ",0,"-arcsinh(1/2*x+1/2)+(x^2+2*x+5)^(1/2)","A"
91,1,7,6,0.004000," ","int(cos(x)*sin(x)^2,x)","\frac{\left(\sin^{3}\left(x \right)\right)}{3}"," ",0,"1/3*sin(x)^3","A"
92,1,6,5,0.001000," ","int(exp(x)/(exp(x)+1),x)","\ln \left({\mathrm e}^{x}+1\right)"," ",0,"ln(exp(x)+1)","A"
93,1,11,10,0.004000," ","int(exp(2*x)/(exp(x)+1),x)","{\mathrm e}^{x}-\ln \left({\mathrm e}^{x}+1\right)"," ",0,"exp(x)-ln(exp(x)+1)","A"
94,1,9,12,0.017000," ","int(1/(1-cos(x)),x)","-\frac{1}{\tan \left(\frac{x}{2}\right)}"," ",0,"-1/tan(1/2*x)","A"
95,1,7,6,0.000000," ","int(sec(x)^2*tan(x),x)","\frac{\left(\sec^{2}\left(x \right)\right)}{2}"," ",0,"1/2*sec(x)^2","A"
96,1,14,13,0.001000," ","int(x*ln(x),x)","\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}"," ",0,"1/2*x^2*ln(x)-1/4*x^2","A"
97,1,7,6,0.000000," ","int(cos(x)*sin(x),x)","\frac{\left(\sin^{2}\left(x \right)\right)}{2}"," ",0,"1/2*sin(x)^2","A"
98,1,21,20,0.007000," ","int((x+1)/(-x^2+2*x)^(1/2),x)","2 \arcsin \left(x -1\right)-\sqrt{-x^{2}+2 x}"," ",0,"2*arcsin(x-1)-(-x^2+2*x)^(1/2)","A"
99,1,14,13,0.002000," ","int(2*exp(x)/(2+3*exp(2*x)),x)","\frac{\sqrt{6}\, \arctan \left(\frac{\sqrt{6}\, {\mathrm e}^{x}}{2}\right)}{3}"," ",0,"1/3*6^(1/2)*arctan(1/2*6^(1/2)*exp(x))","A"
100,1,30,29,0.000000," ","int(x^4/(-x^2+1)^(5/2),x)","\frac{x^{3}}{3 \left(-x^{2}+1\right)^{\frac{3}{2}}}-\frac{x}{\sqrt{-x^{2}+1}}+\arcsin \left(x \right)"," ",0,"1/3/(-x^2+1)^(3/2)*x^3-1/(-x^2+1)^(1/2)*x+arcsin(x)","A"
101,1,15,14,0.011000," ","int(exp(6*x)/(1+exp(4*x)),x)","-\frac{\arctan \left({\mathrm e}^{2 x}\right)}{2}+\frac{{\mathrm e}^{2 x}}{2}"," ",0,"1/2*exp(x)^2-1/2*arctan(exp(x)^2)","A"
102,1,27,26,0.000000," ","int(ln(3*x^2+2),x)","x \ln \left(3 x^{2}+2\right)-2 x +\frac{2 \sqrt{6}\, \arctan \left(\frac{\sqrt{6}\, x}{2}\right)}{3}"," ",0,"x*ln(3*x^2+2)-2*x+2/3*6^(1/2)*arctan(1/2*6^(1/2)*x)","A"
103,1,20,19,0.002000," ","int(1/r/(2*H*r^2-a^2)^(1/2),x)","\frac{x}{\sqrt{2 H \,r^{2}-a^{2}}\, r}"," ",0,"x/r/(2*H*r^2-a^2)^(1/2)","A"
104,1,25,24,0.003000," ","int(1/r/(2*H*r^2-a^2-e^2)^(1/2),x)","\frac{x}{\sqrt{2 H \,r^{2}-a^{2}-e^{2}}\, r}"," ",0,"x/r/(2*H*r^2-a^2-e^2)^(1/2)","A"
105,1,26,25,0.000000," ","int(1/r/(-2*K*r^4+2*H*r^2-a^2)^(1/2),x)","\frac{x}{\sqrt{-2 K \,r^{4}+2 H \,r^{2}-a^{2}}\, r}"," ",0,"x/r/(-2*K*r^4+2*H*r^2-a^2)^(1/2)","A"
106,1,31,30,0.001000," ","int(1/r/(-2*K*r^4+2*H*r^2-a^2-e^2)^(1/2),x)","\frac{x}{\sqrt{-2 K \,r^{4}+2 H \,r^{2}-a^{2}-e^{2}}\, r}"," ",0,"x/r/(-2*K*r^4+2*H*r^2-a^2-e^2)^(1/2)","A"
107,1,24,22,0.000000," ","int(1/r/(2*H*r^2-2*K*r-a^2)^(1/2),x)","\frac{x}{\sqrt{2 H \,r^{2}-2 K r -a^{2}}\, r}"," ",0,"1/r/(2*H*r^2-2*K*r-a^2)^(1/2)*x","A"
108,1,29,28,0.000000," ","int(1/r/(2*H*r^2-2*K*r-a^2-e^2)^(1/2),x)","\frac{x}{\sqrt{2 H \,r^{2}-2 K r -a^{2}-e^{2}}\, r}"," ",0,"x/r/(2*H*r^2-2*K*r-a^2-e^2)^(1/2)","A"
109,1,18,17,0.002000," ","int(r/(2*E*r^2-a^2)^(1/2),x)","\frac{r x}{\sqrt{2 E \,r^{2}-a^{2}}}"," ",0,"r*x/(2*E*r^2-a^2)^(1/2)","A"
110,1,23,22,0.002000," ","int(r/(2*E*r^2-a^2-e^2)^(1/2),x)","\frac{r x}{\sqrt{2 E \,r^{2}-a^{2}-e^{2}}}"," ",0,"r*x/(2*E*r^2-a^2-e^2)^(1/2)","A"
111,1,24,23,0.001000," ","int(r/(-2*K*r^4+2*E*r^2-a^2)^(1/2),x)","\frac{r x}{\sqrt{-2 K \,r^{4}+2 E \,r^{2}-a^{2}}}"," ",0,"r*x/(-2*K*r^4+2*E*r^2-a^2)^(1/2)","A"
112,1,29,28,0.001000," ","int(r/(-2*K*r^4+2*E*r^2-a^2-e^2)^(1/2),x)","\frac{r x}{\sqrt{-2 K \,r^{4}+2 E \,r^{2}-a^{2}-e^{2}}}"," ",0,"r*x/(-2*K*r^4+2*E*r^2-a^2-e^2)^(1/2)","A"
113,1,27,26,0.001000," ","int(r/(2*H*r^2-2*K*r-a^2-e^2)^(1/2),x)","\frac{r x}{\sqrt{2 H \,r^{2}-2 K r -a^{2}-e^{2}}}"," ",0,"r*x/(2*H*r^2-2*K*r-a^2-e^2)^(1/2)","A"