1,0,0,0,0.000000," ","integrate((e*x+d)^4*(a+b*arctan(c*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
2,0,0,0,0.000000," ","integrate((e*x+d)^3*(a+b*arctan(c*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
3,0,0,0,0.000000," ","integrate((e*x+d)^2*(a+b*arctan(c*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
4,0,0,0,0.000000," ","integrate((e*x+d)*(a+b*arctan(c*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
5,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))/(e*x+d),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
6,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))/(e*x+d)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
7,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))/(e*x+d)^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
8,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))/(e*x+d)^4,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
9,0,0,0,0.000000," ","integrate((e*x+d)^3*(a+b*arctan(c*x))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
10,0,0,0,0.000000," ","integrate((e*x+d)^2*(a+b*arctan(c*x))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
11,0,0,0,0.000000," ","integrate((e*x+d)*(a+b*arctan(c*x))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
12,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^2/(e*x+d),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
13,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^2/(e*x+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^2/(e*x+d)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,0,0,0,0.000000," ","integrate((e*x+d)^3*(a+b*arctan(c*x))^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
16,0,0,0,0.000000," ","integrate((e*x+d)^2*(a+b*arctan(c*x))^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
17,0,0,0,0.000000," ","integrate((e*x+d)*(a+b*arctan(c*x))^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
18,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^3/(e*x+d),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^3/(e*x+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^3/(e*x+d)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,1,303,0,34.881114," ","integrate((e*x+d)^2*(a+b*arctan(c*x^2)),x, algorithm=""giac"")","\frac{2 \, b c x^{3} \arctan\left(c x^{2}\right) e^{2} + 6 \, b c d x^{2} \arctan\left(c x^{2}\right) e + 6 \, b c d^{2} x \arctan\left(c x^{2}\right) + 2 \, a c x^{3} e^{2} + 6 \, a c d x^{2} e + 6 \, a c d^{2} x - 3 \, b d e \log\left(c^{2} x^{4} + 1\right) - 4 \, b x e^{2}}{6 \, c} - \frac{\sqrt{2} {\left(3 \, b c^{2} d^{2} + b {\left| c \right|} e^{2}\right)} \log\left(x^{2} - \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{12 \, c {\left| c \right|}^{\frac{3}{2}}} - \frac{\sqrt{2} {\left(3 \, b c^{2} d^{2} \sqrt{{\left| c \right|}} - b {\left| c \right|}^{\frac{3}{2}} e^{2}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{6 \, c^{3}} - \frac{\sqrt{2} {\left(3 \, b c^{2} d^{2} \sqrt{{\left| c \right|}} - b {\left| c \right|}^{\frac{3}{2}} e^{2}\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{6 \, c^{3}} + \frac{\sqrt{2} {\left(3 \, b c^{2} d^{2} \sqrt{{\left| c \right|}} + b {\left| c \right|}^{\frac{3}{2}} e^{2}\right)} \log\left(x^{2} + \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{12 \, c^{3}}"," ",0,"1/6*(2*b*c*x^3*arctan(c*x^2)*e^2 + 6*b*c*d*x^2*arctan(c*x^2)*e + 6*b*c*d^2*x*arctan(c*x^2) + 2*a*c*x^3*e^2 + 6*a*c*d*x^2*e + 6*a*c*d^2*x - 3*b*d*e*log(c^2*x^4 + 1) - 4*b*x*e^2)/c - 1/12*sqrt(2)*(3*b*c^2*d^2 + b*abs(c)*e^2)*log(x^2 - sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/(c*abs(c)^(3/2)) - 1/6*sqrt(2)*(3*b*c^2*d^2*sqrt(abs(c)) - b*abs(c)^(3/2)*e^2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/c^3 - 1/6*sqrt(2)*(3*b*c^2*d^2*sqrt(abs(c)) - b*abs(c)^(3/2)*e^2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/c^3 + 1/12*sqrt(2)*(3*b*c^2*d^2*sqrt(abs(c)) + b*abs(c)^(3/2)*e^2)*log(x^2 + sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/c^3","A",0
22,1,201,0,5.099163," ","integrate((e*x+d)*(a+b*arctan(c*x^2)),x, algorithm=""giac"")","-\frac{1}{4} \, b c^{3} d {\left(\frac{2 \, \sqrt{2} \sqrt{{\left| c \right|}} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{c^{4}} + \frac{2 \, \sqrt{2} \sqrt{{\left| c \right|}} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{c^{4}} - \frac{\sqrt{2} \log\left(x^{2} + \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{c^{2} {\left| c \right|}^{\frac{3}{2}}} + \frac{\sqrt{2} \sqrt{{\left| c \right|}} \log\left(x^{2} - \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{c^{4}}\right)} + \frac{2 \, b c x^{2} \arctan\left(c x^{2}\right) e + 4 \, b c d x \arctan\left(c x^{2}\right) + 2 \, a c x^{2} e + 4 \, a c d x - b e \log\left(c^{2} x^{4} + 1\right)}{4 \, c}"," ",0,"-1/4*b*c^3*d*(2*sqrt(2)*sqrt(abs(c))*arctan(1/2*sqrt(2)*(2*x + sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/c^4 + 2*sqrt(2)*sqrt(abs(c))*arctan(1/2*sqrt(2)*(2*x - sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/c^4 - sqrt(2)*log(x^2 + sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/(c^2*abs(c)^(3/2)) + sqrt(2)*sqrt(abs(c))*log(x^2 - sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/c^4) + 1/4*(2*b*c*x^2*arctan(c*x^2)*e + 4*b*c*d*x*arctan(c*x^2) + 2*a*c*x^2*e + 4*a*c*d*x - b*e*log(c^2*x^4 + 1))/c","A",0
23,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))/(e*x+d),x, algorithm=""giac"")","\int \frac{b \arctan\left(c x^{2}\right) + a}{e x + d}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)/(e*x + d), x)","F",0
24,1,1443,0,3.691350," ","integrate((a+b*arctan(c*x^2))/(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{c d e \log\left(c^{2} - \frac{4 \, c^{2} d}{x e + d} + \frac{6 \, c^{2} d^{2}}{{\left(x e + d\right)}^{2}} - \frac{4 \, c^{2} d^{3}}{{\left(x e + d\right)}^{3}} + \frac{c^{2} d^{4}}{{\left(x e + d\right)}^{4}} + \frac{e^{4}}{{\left(x e + d\right)}^{4}}\right)}{c^{2} d^{4} + e^{4}} - \frac{2 \, \arctan\left(c x^{2}\right) e^{\left(-1\right)}}{x e + d} - \frac{{\left(c^{6} d^{8} e^{16} + 2 \, c^{4} d^{4} e^{20} + c^{2} e^{24}\right)}^{\frac{1}{4}} \cos\left(\frac{1}{2} \, \arctan\left(\frac{{\left(c^{3} d^{4} e^{8} - c e^{12}\right)} e^{\left(-10\right)}}{2 \, c^{2} d^{2}}\right)\right) \log\left(64 \, {\left(2 \, \sqrt{2} c^{\frac{7}{2}} d^{3} - \frac{2 \, \sqrt{2} c^{\frac{7}{2}} d^{4}}{x e + d} + 8 \, \sqrt{c^{2}} c^{2} d^{2} e - \frac{12 \, \sqrt{c^{2}} c^{2} d^{3} e}{x e + d} + 3 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{3}{2}} d e^{2} - \frac{7 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{3}{2}} d^{2} e^{2}}{x e + d} + \frac{\sqrt{2} c^{\frac{3}{2}} e^{4}}{x e + d}\right)}^{2} + 64 \, {\left(2 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{5}{2}} d^{3} - \frac{2 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{5}{2}} d^{4}}{x e + d} - 3 \, \sqrt{2} c^{\frac{5}{2}} d e^{2} + \frac{7 \, \sqrt{2} c^{\frac{5}{2}} d^{2} e^{2}}{x e + d} - 2 \, \sqrt{c^{2}} c e^{3} + \frac{8 \, \sqrt{c^{2}} c d e^{3}}{x e + d} + \frac{\sqrt{2} \sqrt{c^{2}} \sqrt{c} e^{4}}{x e + d}\right)}^{2}\right) - {\left(c^{6} d^{8} e^{16} + 2 \, c^{4} d^{4} e^{20} + c^{2} e^{24}\right)}^{\frac{1}{4}} \cos\left(\frac{1}{2} \, \arctan\left(\frac{{\left(c^{3} d^{4} e^{8} - c e^{12}\right)} e^{\left(-10\right)}}{2 \, c^{2} d^{2}}\right)\right) \log\left(64 \, {\left(2 \, \sqrt{2} c^{\frac{7}{2}} d^{3} - \frac{2 \, \sqrt{2} c^{\frac{7}{2}} d^{4}}{x e + d} - 8 \, \sqrt{c^{2}} c^{2} d^{2} e + \frac{12 \, \sqrt{c^{2}} c^{2} d^{3} e}{x e + d} + 3 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{3}{2}} d e^{2} - \frac{7 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{3}{2}} d^{2} e^{2}}{x e + d} + \frac{\sqrt{2} c^{\frac{3}{2}} e^{4}}{x e + d}\right)}^{2} + 64 \, {\left(2 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{5}{2}} d^{3} - \frac{2 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{5}{2}} d^{4}}{x e + d} - 3 \, \sqrt{2} c^{\frac{5}{2}} d e^{2} + \frac{7 \, \sqrt{2} c^{\frac{5}{2}} d^{2} e^{2}}{x e + d} + 2 \, \sqrt{c^{2}} c e^{3} - \frac{8 \, \sqrt{c^{2}} c d e^{3}}{x e + d} + \frac{\sqrt{2} \sqrt{c^{2}} \sqrt{c} e^{4}}{x e + d}\right)}^{2}\right) - 2 \, {\left(c^{2} d^{3} e^{3} + {\left(c^{6} d^{8} e^{16} + 2 \, c^{4} d^{4} e^{20} + c^{2} e^{24}\right)}^{\frac{1}{4}} \sin\left(\frac{1}{2} \, \arctan\left(\frac{{\left(c^{3} d^{4} e^{8} - c e^{12}\right)} e^{\left(-10\right)}}{2 \, c^{2} d^{2}}\right)\right)\right)} \arctan\left(-\frac{2 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{5}{2}} d^{3} - \frac{2 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{5}{2}} d^{4}}{x e + d} - 3 \, \sqrt{2} c^{\frac{5}{2}} d e^{2} + \frac{7 \, \sqrt{2} c^{\frac{5}{2}} d^{2} e^{2}}{x e + d} + 2 \, \sqrt{c^{2}} c e^{3} - \frac{8 \, \sqrt{c^{2}} c d e^{3}}{x e + d} + \frac{\sqrt{2} \sqrt{c^{2}} \sqrt{c} e^{4}}{x e + d}}{2 \, \sqrt{2} c^{\frac{7}{2}} d^{3} - \frac{2 \, \sqrt{2} c^{\frac{7}{2}} d^{4}}{x e + d} - 8 \, \sqrt{c^{2}} c^{2} d^{2} e + \frac{12 \, \sqrt{c^{2}} c^{2} d^{3} e}{x e + d} + 3 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{3}{2}} d e^{2} - \frac{7 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{3}{2}} d^{2} e^{2}}{x e + d} + \frac{\sqrt{2} c^{\frac{3}{2}} e^{4}}{x e + d}}\right) - 2 \, {\left(c^{2} d^{3} e^{3} - {\left(c^{6} d^{8} e^{16} + 2 \, c^{4} d^{4} e^{20} + c^{2} e^{24}\right)}^{\frac{1}{4}} \sin\left(\frac{1}{2} \, \arctan\left(\frac{{\left(c^{3} d^{4} e^{8} - c e^{12}\right)} e^{\left(-10\right)}}{2 \, c^{2} d^{2}}\right)\right)\right)} \arctan\left(-\frac{2 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{5}{2}} d^{3} - \frac{2 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{5}{2}} d^{4}}{x e + d} - 3 \, \sqrt{2} c^{\frac{5}{2}} d e^{2} + \frac{7 \, \sqrt{2} c^{\frac{5}{2}} d^{2} e^{2}}{x e + d} - 2 \, \sqrt{c^{2}} c e^{3} + \frac{8 \, \sqrt{c^{2}} c d e^{3}}{x e + d} + \frac{\sqrt{2} \sqrt{c^{2}} \sqrt{c} e^{4}}{x e + d}}{2 \, \sqrt{2} c^{\frac{7}{2}} d^{3} - \frac{2 \, \sqrt{2} c^{\frac{7}{2}} d^{4}}{x e + d} + 8 \, \sqrt{c^{2}} c^{2} d^{2} e - \frac{12 \, \sqrt{c^{2}} c^{2} d^{3} e}{x e + d} + 3 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{3}{2}} d e^{2} - \frac{7 \, \sqrt{2} \sqrt{c^{2}} c^{\frac{3}{2}} d^{2} e^{2}}{x e + d} + \frac{\sqrt{2} c^{\frac{3}{2}} e^{4}}{x e + d}}\right)}{c^{2} d^{4} e^{4} + e^{8}}\right)} b - \frac{a e^{\left(-1\right)}}{x e + d}"," ",0,"1/2*(c*d*e*log(c^2 - 4*c^2*d/(x*e + d) + 6*c^2*d^2/(x*e + d)^2 - 4*c^2*d^3/(x*e + d)^3 + c^2*d^4/(x*e + d)^4 + e^4/(x*e + d)^4)/(c^2*d^4 + e^4) - 2*arctan(c*x^2)*e^(-1)/(x*e + d) - ((c^6*d^8*e^16 + 2*c^4*d^4*e^20 + c^2*e^24)^(1/4)*cos(1/2*arctan(1/2*(c^3*d^4*e^8 - c*e^12)*e^(-10)/(c^2*d^2)))*log(64*(2*sqrt(2)*c^(7/2)*d^3 - 2*sqrt(2)*c^(7/2)*d^4/(x*e + d) + 8*sqrt(c^2)*c^2*d^2*e - 12*sqrt(c^2)*c^2*d^3*e/(x*e + d) + 3*sqrt(2)*sqrt(c^2)*c^(3/2)*d*e^2 - 7*sqrt(2)*sqrt(c^2)*c^(3/2)*d^2*e^2/(x*e + d) + sqrt(2)*c^(3/2)*e^4/(x*e + d))^2 + 64*(2*sqrt(2)*sqrt(c^2)*c^(5/2)*d^3 - 2*sqrt(2)*sqrt(c^2)*c^(5/2)*d^4/(x*e + d) - 3*sqrt(2)*c^(5/2)*d*e^2 + 7*sqrt(2)*c^(5/2)*d^2*e^2/(x*e + d) - 2*sqrt(c^2)*c*e^3 + 8*sqrt(c^2)*c*d*e^3/(x*e + d) + sqrt(2)*sqrt(c^2)*sqrt(c)*e^4/(x*e + d))^2) - (c^6*d^8*e^16 + 2*c^4*d^4*e^20 + c^2*e^24)^(1/4)*cos(1/2*arctan(1/2*(c^3*d^4*e^8 - c*e^12)*e^(-10)/(c^2*d^2)))*log(64*(2*sqrt(2)*c^(7/2)*d^3 - 2*sqrt(2)*c^(7/2)*d^4/(x*e + d) - 8*sqrt(c^2)*c^2*d^2*e + 12*sqrt(c^2)*c^2*d^3*e/(x*e + d) + 3*sqrt(2)*sqrt(c^2)*c^(3/2)*d*e^2 - 7*sqrt(2)*sqrt(c^2)*c^(3/2)*d^2*e^2/(x*e + d) + sqrt(2)*c^(3/2)*e^4/(x*e + d))^2 + 64*(2*sqrt(2)*sqrt(c^2)*c^(5/2)*d^3 - 2*sqrt(2)*sqrt(c^2)*c^(5/2)*d^4/(x*e + d) - 3*sqrt(2)*c^(5/2)*d*e^2 + 7*sqrt(2)*c^(5/2)*d^2*e^2/(x*e + d) + 2*sqrt(c^2)*c*e^3 - 8*sqrt(c^2)*c*d*e^3/(x*e + d) + sqrt(2)*sqrt(c^2)*sqrt(c)*e^4/(x*e + d))^2) - 2*(c^2*d^3*e^3 + (c^6*d^8*e^16 + 2*c^4*d^4*e^20 + c^2*e^24)^(1/4)*sin(1/2*arctan(1/2*(c^3*d^4*e^8 - c*e^12)*e^(-10)/(c^2*d^2))))*arctan(-(2*sqrt(2)*sqrt(c^2)*c^(5/2)*d^3 - 2*sqrt(2)*sqrt(c^2)*c^(5/2)*d^4/(x*e + d) - 3*sqrt(2)*c^(5/2)*d*e^2 + 7*sqrt(2)*c^(5/2)*d^2*e^2/(x*e + d) + 2*sqrt(c^2)*c*e^3 - 8*sqrt(c^2)*c*d*e^3/(x*e + d) + sqrt(2)*sqrt(c^2)*sqrt(c)*e^4/(x*e + d))/(2*sqrt(2)*c^(7/2)*d^3 - 2*sqrt(2)*c^(7/2)*d^4/(x*e + d) - 8*sqrt(c^2)*c^2*d^2*e + 12*sqrt(c^2)*c^2*d^3*e/(x*e + d) + 3*sqrt(2)*sqrt(c^2)*c^(3/2)*d*e^2 - 7*sqrt(2)*sqrt(c^2)*c^(3/2)*d^2*e^2/(x*e + d) + sqrt(2)*c^(3/2)*e^4/(x*e + d))) - 2*(c^2*d^3*e^3 - (c^6*d^8*e^16 + 2*c^4*d^4*e^20 + c^2*e^24)^(1/4)*sin(1/2*arctan(1/2*(c^3*d^4*e^8 - c*e^12)*e^(-10)/(c^2*d^2))))*arctan(-(2*sqrt(2)*sqrt(c^2)*c^(5/2)*d^3 - 2*sqrt(2)*sqrt(c^2)*c^(5/2)*d^4/(x*e + d) - 3*sqrt(2)*c^(5/2)*d*e^2 + 7*sqrt(2)*c^(5/2)*d^2*e^2/(x*e + d) - 2*sqrt(c^2)*c*e^3 + 8*sqrt(c^2)*c*d*e^3/(x*e + d) + sqrt(2)*sqrt(c^2)*sqrt(c)*e^4/(x*e + d))/(2*sqrt(2)*c^(7/2)*d^3 - 2*sqrt(2)*c^(7/2)*d^4/(x*e + d) + 8*sqrt(c^2)*c^2*d^2*e - 12*sqrt(c^2)*c^2*d^3*e/(x*e + d) + 3*sqrt(2)*sqrt(c^2)*c^(3/2)*d*e^2 - 7*sqrt(2)*sqrt(c^2)*c^(3/2)*d^2*e^2/(x*e + d) + sqrt(2)*c^(3/2)*e^4/(x*e + d))))/(c^2*d^4*e^4 + e^8))*b - a*e^(-1)/(x*e + d)","B",0
25,0,0,0,0.000000," ","integrate((e*x+d)*(a+b*arctan(c*x^2))^2,x, algorithm=""giac"")","\int {\left(e x + d\right)} {\left(b \arctan\left(c x^{2}\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((e*x + d)*(b*arctan(c*x^2) + a)^2, x)","F",0
26,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^2/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{2}}{e x + d}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2/(e*x + d), x)","F",0
27,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^2/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2/(e*x + d)^2, x)","F",0
28,1,326,0,2.451039," ","integrate((e*x+d)^2*(a+b*arctan(c*x^3)),x, algorithm=""giac"")","\frac{b d^{2} {\left| c \right|}^{\frac{2}{3}} \log\left(x^{2} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{2 \, c} - \frac{b c d \arctan\left(x {\left| c \right|}^{\frac{1}{3}}\right) e}{{\left| c \right|}^{\frac{5}{3}}} + \frac{2 \, b c x^{3} \arctan\left(c x^{3}\right) e^{2} + 6 \, b c d x^{2} \arctan\left(c x^{3}\right) e + 6 \, b c d^{2} x \arctan\left(c x^{3}\right) + 2 \, a c x^{3} e^{2} + 6 \, a c d x^{2} e + 6 \, a c d^{2} x - b e^{2} \log\left(c^{2} x^{6} + 1\right)}{6 \, c} + \frac{{\left(\sqrt{3} b c d^{2} {\left| c \right|}^{\frac{2}{3}} - b c d {\left| c \right|}^{\frac{1}{3}} e\right)} \arctan\left({\left(2 \, x + \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{2 \, c^{2}} - \frac{{\left(\sqrt{3} b c d^{2} {\left| c \right|}^{\frac{2}{3}} + b c d {\left| c \right|}^{\frac{1}{3}} e\right)} \arctan\left({\left(2 \, x - \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{2 \, c^{2}} + \frac{{\left(\sqrt{3} b c d {\left| c \right|}^{\frac{1}{3}} e - b c d^{2} {\left| c \right|}^{\frac{2}{3}}\right)} \log\left(x^{2} + \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{4 \, c^{2}} - \frac{{\left(\sqrt{3} b c d {\left| c \right|}^{\frac{1}{3}} e + b c d^{2} {\left| c \right|}^{\frac{2}{3}}\right)} \log\left(x^{2} - \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{4 \, c^{2}}"," ",0,"1/2*b*d^2*abs(c)^(2/3)*log(x^2 + 1/abs(c)^(2/3))/c - b*c*d*arctan(x*abs(c)^(1/3))*e/abs(c)^(5/3) + 1/6*(2*b*c*x^3*arctan(c*x^3)*e^2 + 6*b*c*d*x^2*arctan(c*x^3)*e + 6*b*c*d^2*x*arctan(c*x^3) + 2*a*c*x^3*e^2 + 6*a*c*d*x^2*e + 6*a*c*d^2*x - b*e^2*log(c^2*x^6 + 1))/c + 1/2*(sqrt(3)*b*c*d^2*abs(c)^(2/3) - b*c*d*abs(c)^(1/3)*e)*arctan((2*x + sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/c^2 - 1/2*(sqrt(3)*b*c*d^2*abs(c)^(2/3) + b*c*d*abs(c)^(1/3)*e)*arctan((2*x - sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/c^2 + 1/4*(sqrt(3)*b*c*d*abs(c)^(1/3)*e - b*c*d^2*abs(c)^(2/3))*log(x^2 + sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/c^2 - 1/4*(sqrt(3)*b*c*d*abs(c)^(1/3)*e + b*c*d^2*abs(c)^(2/3))*log(x^2 - sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/c^2","A",0
29,1,257,0,0.985721," ","integrate((e*x+d)*(a+b*arctan(c*x^3)),x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} \arctan\left(c x^{3}\right) e + b d x \arctan\left(c x^{3}\right) + \frac{1}{2} \, a x^{2} e + a d x + \frac{b d {\left| c \right|}^{\frac{2}{3}} \log\left(x^{2} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{2 \, c} - \frac{b c \arctan\left(x {\left| c \right|}^{\frac{1}{3}}\right) e}{2 \, {\left| c \right|}^{\frac{5}{3}}} + \frac{{\left(2 \, \sqrt{3} b c d {\left| c \right|}^{\frac{2}{3}} - b c {\left| c \right|}^{\frac{1}{3}} e\right)} \arctan\left({\left(2 \, x + \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{4 \, c^{2}} - \frac{{\left(2 \, \sqrt{3} b c d {\left| c \right|}^{\frac{2}{3}} + b c {\left| c \right|}^{\frac{1}{3}} e\right)} \arctan\left({\left(2 \, x - \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{4 \, c^{2}} + \frac{{\left(\sqrt{3} b c {\left| c \right|}^{\frac{1}{3}} e - 2 \, b c d {\left| c \right|}^{\frac{2}{3}}\right)} \log\left(x^{2} + \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{8 \, c^{2}} - \frac{{\left(\sqrt{3} b c {\left| c \right|}^{\frac{1}{3}} e + 2 \, b c d {\left| c \right|}^{\frac{2}{3}}\right)} \log\left(x^{2} - \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{8 \, c^{2}}"," ",0,"1/2*b*x^2*arctan(c*x^3)*e + b*d*x*arctan(c*x^3) + 1/2*a*x^2*e + a*d*x + 1/2*b*d*abs(c)^(2/3)*log(x^2 + 1/abs(c)^(2/3))/c - 1/2*b*c*arctan(x*abs(c)^(1/3))*e/abs(c)^(5/3) + 1/4*(2*sqrt(3)*b*c*d*abs(c)^(2/3) - b*c*abs(c)^(1/3)*e)*arctan((2*x + sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/c^2 - 1/4*(2*sqrt(3)*b*c*d*abs(c)^(2/3) + b*c*abs(c)^(1/3)*e)*arctan((2*x - sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/c^2 + 1/8*(sqrt(3)*b*c*abs(c)^(1/3)*e - 2*b*c*d*abs(c)^(2/3))*log(x^2 + sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/c^2 - 1/8*(sqrt(3)*b*c*abs(c)^(1/3)*e + 2*b*c*d*abs(c)^(2/3))*log(x^2 - sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/c^2","A",0
30,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^3))/(e*x+d),x, algorithm=""giac"")","\int \frac{b \arctan\left(c x^{3}\right) + a}{e x + d}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)/(e*x + d), x)","F",0
31,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x^3))/(e*x+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
