1,1,125,87,0.259000," ","int(x^3*tan(b*x+a),x)","\frac{i x^{4}}{4}+\frac{2 i a^{3} x}{b^{3}}+\frac{3 i a^{4}}{2 b^{4}}-\frac{x^{3} \ln \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}{b}+\frac{3 i x^{2} \polylog \left(2, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{2 b^{2}}-\frac{3 x \polylog \left(3, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{2 b^{3}}-\frac{3 i \polylog \left(4, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{4 b^{4}}-\frac{2 a^{3} \ln \left({\mathrm e}^{i \left(b x +a \right)}\right)}{b^{4}}"," ",0,"1/4*I*x^4+2*I/b^3*a^3*x+3/2*I/b^4*a^4-x^3*ln(exp(2*I*(b*x+a))+1)/b+3/2*I*x^2*polylog(2,-exp(2*I*(b*x+a)))/b^2-3/2*x*polylog(3,-exp(2*I*(b*x+a)))/b^3-3/4*I*polylog(4,-exp(2*I*(b*x+a)))/b^4-2/b^4*a^3*ln(exp(I*(b*x+a)))","A"
2,1,103,65,0.250000," ","int(x^2*tan(b*x+a),x)","\frac{i x^{3}}{3}-\frac{2 i a^{2} x}{b^{2}}-\frac{4 i a^{3}}{3 b^{3}}-\frac{x^{2} \ln \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}{b}+\frac{i x \polylog \left(2, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{b^{2}}-\frac{\polylog \left(3, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{2 b^{3}}+\frac{2 a^{2} \ln \left({\mathrm e}^{i \left(b x +a \right)}\right)}{b^{3}}"," ",0,"1/3*I*x^3-2*I/b^2*a^2*x-4/3*I/b^3*a^3-x^2*ln(exp(2*I*(b*x+a))+1)/b+I*x*polylog(2,-exp(2*I*(b*x+a)))/b^2-1/2*polylog(3,-exp(2*I*(b*x+a)))/b^3+2/b^3*a^2*ln(exp(I*(b*x+a)))","A"
3,1,78,44,0.243000," ","int(x*tan(b*x+a),x)","\frac{i x^{2}}{2}+\frac{2 i a x}{b}+\frac{i a^{2}}{b^{2}}-\frac{x \ln \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}{b}+\frac{i \polylog \left(2, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{2 b^{2}}-\frac{2 a \ln \left({\mathrm e}^{i \left(b x +a \right)}\right)}{b^{2}}"," ",0,"1/2*I*x^2+2*I/b*a*x+I/b^2*a^2-x*ln(exp(2*I*(b*x+a))+1)/b+1/2*I*polylog(2,-exp(2*I*(b*x+a)))/b^2-2/b^2*a*ln(exp(I*(b*x+a)))","A"
4,0,0,12,0.300000," ","int(tan(b*x+a)/x,x)","\int \frac{\tan \left(b x +a \right)}{x}\, dx"," ",0,"int(tan(b*x+a)/x,x)","F"
5,0,0,12,0.296000," ","int(tan(b*x+a)/x^2,x)","\int \frac{\tan \left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(tan(b*x+a)/x^2,x)","F"
6,1,133,86,0.361000," ","int(x^3*tan(b*x+a)^2,x)","-\frac{x^{4}}{4}+\frac{2 i x^{3}}{b \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}-\frac{2 i x^{3}}{b}+\frac{6 i a^{2} x}{b^{3}}+\frac{4 i a^{3}}{b^{4}}+\frac{3 x^{2} \ln \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}{b^{2}}-\frac{3 i x \polylog \left(2, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{b^{3}}+\frac{3 \polylog \left(3, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{2 b^{4}}-\frac{6 a^{2} \ln \left({\mathrm e}^{i \left(b x +a \right)}\right)}{b^{4}}"," ",0,"-1/4*x^4+2*I*x^3/b/(exp(2*I*(b*x+a))+1)-2*I/b*x^3+6*I/b^3*a^2*x+4*I/b^4*a^3+3*x^2*ln(exp(2*I*(b*x+a))+1)/b^2-3*I*x*polylog(2,-exp(2*I*(b*x+a)))/b^3+3/2*polylog(3,-exp(2*I*(b*x+a)))/b^4-6/b^4*a^2*ln(exp(I*(b*x+a)))","A"
7,1,108,65,0.348000," ","int(x^2*tan(b*x+a)^2,x)","-\frac{x^{3}}{3}+\frac{2 i x^{2}}{b \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}-\frac{2 i x^{2}}{b}-\frac{4 i a x}{b^{2}}-\frac{2 i a^{2}}{b^{3}}+\frac{2 x \ln \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}{b^{2}}-\frac{i \polylog \left(2, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{b^{3}}+\frac{4 a \ln \left({\mathrm e}^{i \left(b x +a \right)}\right)}{b^{3}}"," ",0,"-1/3*x^3+2*I*x^2/b/(exp(2*I*(b*x+a))+1)-2*I/b*x^2-4*I/b^2*a*x-2*I/b^3*a^2+2*x*ln(exp(2*I*(b*x+a))+1)/b^2-I*polylog(2,-exp(2*I*(b*x+a)))/b^3+4/b^3*a*ln(exp(I*(b*x+a)))","A"
8,1,29,28,0.258000," ","int(x*tan(b*x+a)^2,x)","-\frac{x^{2}}{2}+\frac{\ln \left(\cos \left(b x +a \right)\right)}{b^{2}}+\frac{x \tan \left(b x +a \right)}{b}"," ",0,"-1/2*x^2+ln(cos(b*x+a))/b^2+x*tan(b*x+a)/b","A"
9,0,0,14,0.365000," ","int(tan(b*x+a)^2/x,x)","\int \frac{\tan^{2}\left(b x +a \right)}{x}\, dx"," ",0,"int(tan(b*x+a)^2/x,x)","F"
10,0,0,14,0.363000," ","int(tan(b*x+a)^2/x^2,x)","\int \frac{\tan^{2}\left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(tan(b*x+a)^2/x^2,x)","F"
11,1,251,170,0.319000," ","int(x^3*tan(b*x+a)^3,x)","-\frac{2 i a^{3} x}{b^{3}}+\frac{x^{2} \left(2 b x \,{\mathrm e}^{2 i \left(b x +a \right)}-3 i {\mathrm e}^{2 i \left(b x +a \right)}-3 i\right)}{b^{2} \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)^{2}}+\frac{3 i \polylog \left(2, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{2 b^{4}}+\frac{3 i \polylog \left(4, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{4 b^{4}}+\frac{3 i x^{2}}{b^{2}}-\frac{3 i a^{4}}{2 b^{4}}-\frac{3 i x^{2} \polylog \left(2, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{2 b^{2}}-\frac{i x^{4}}{4}+\frac{3 i a^{2}}{b^{4}}+\frac{6 i a x}{b^{3}}+\frac{x^{3} \ln \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}{b}+\frac{3 x \polylog \left(3, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{2 b^{3}}-\frac{3 x \ln \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}{b^{3}}-\frac{6 a \ln \left({\mathrm e}^{i \left(b x +a \right)}\right)}{b^{4}}+\frac{2 a^{3} \ln \left({\mathrm e}^{i \left(b x +a \right)}\right)}{b^{4}}"," ",0,"-2*I/b^3*a^3*x+x^2*(2*b*x*exp(2*I*(b*x+a))-3*I*exp(2*I*(b*x+a))-3*I)/b^2/(exp(2*I*(b*x+a))+1)^2+3/2*I*polylog(2,-exp(2*I*(b*x+a)))/b^4+3/4*I*polylog(4,-exp(2*I*(b*x+a)))/b^4+3*I/b^2*x^2-3/2*I/b^4*a^4-3/2*I*x^2*polylog(2,-exp(2*I*(b*x+a)))/b^2-1/4*I*x^4+3*I/b^4*a^2+6*I/b^3*a*x+x^3*ln(exp(2*I*(b*x+a))+1)/b+3/2*x*polylog(3,-exp(2*I*(b*x+a)))/b^3-3*x*ln(exp(2*I*(b*x+a))+1)/b^3-6/b^4*a*ln(exp(I*(b*x+a)))+2/b^4*a^3*ln(exp(I*(b*x+a)))","A"
12,1,180,112,0.289000," ","int(x^2*tan(b*x+a)^3,x)","-\frac{i x^{3}}{3}+\frac{2 x \left(b x \,{\mathrm e}^{2 i \left(b x +a \right)}-i {\mathrm e}^{2 i \left(b x +a \right)}-i\right)}{b^{2} \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)^{2}}-\frac{2 a^{2} \ln \left({\mathrm e}^{i \left(b x +a \right)}\right)}{b^{3}}+\frac{4 i a^{3}}{3 b^{3}}+\frac{x^{2} \ln \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}{b}-\frac{i x \polylog \left(2, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{b^{2}}+\frac{\polylog \left(3, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{2 b^{3}}-\frac{\ln \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}{b^{3}}+\frac{2 \ln \left({\mathrm e}^{i \left(b x +a \right)}\right)}{b^{3}}+\frac{2 i a^{2} x}{b^{2}}"," ",0,"-1/3*I*x^3+2*x*(b*x*exp(2*I*(b*x+a))-I*exp(2*I*(b*x+a))-I)/b^2/(exp(2*I*(b*x+a))+1)^2-2/b^3*a^2*ln(exp(I*(b*x+a)))+4/3*I/b^3*a^3+x^2*ln(exp(2*I*(b*x+a))+1)/b-I*x*polylog(2,-exp(2*I*(b*x+a)))/b^2+1/2*polylog(3,-exp(2*I*(b*x+a)))/b^3-1/b^3*ln(exp(2*I*(b*x+a))+1)+2/b^3*ln(exp(I*(b*x+a)))+2*I/b^2*a^2*x","A"
13,1,122,74,0.217000," ","int(x*tan(b*x+a)^3,x)","-\frac{i x^{2}}{2}+\frac{2 b x \,{\mathrm e}^{2 i \left(b x +a \right)}-i {\mathrm e}^{2 i \left(b x +a \right)}-i}{b^{2} \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)^{2}}-\frac{2 i a x}{b}-\frac{i a^{2}}{b^{2}}+\frac{x \ln \left({\mathrm e}^{2 i \left(b x +a \right)}+1\right)}{b}-\frac{i \polylog \left(2, -{\mathrm e}^{2 i \left(b x +a \right)}\right)}{2 b^{2}}+\frac{2 a \ln \left({\mathrm e}^{i \left(b x +a \right)}\right)}{b^{2}}"," ",0,"-1/2*I*x^2+(2*b*x*exp(2*I*(b*x+a))-I*exp(2*I*(b*x+a))-I)/b^2/(exp(2*I*(b*x+a))+1)^2-2*I/b*a*x-I/b^2*a^2+x*ln(exp(2*I*(b*x+a))+1)/b-1/2*I*polylog(2,-exp(2*I*(b*x+a)))/b^2+2/b^2*a*ln(exp(I*(b*x+a)))","A"
14,0,0,14,1.208000," ","int(tan(b*x+a)^3/x,x)","\int \frac{\tan^{3}\left(b x +a \right)}{x}\, dx"," ",0,"int(tan(b*x+a)^3/x,x)","F"
15,0,0,14,1.361000," ","int(tan(b*x+a)^3/x^2,x)","\int \frac{\tan^{3}\left(b x +a \right)}{x^{2}}\, dx"," ",0,"int(tan(b*x+a)^3/x^2,x)","F"
16,0,0,16,0.873000," ","int(-4*x/b/tan(b*x+a)^(1/2)+x^2*tan(b*x+a)^(1/2)+x^2/tan(b*x+a)^(3/2),x)","\int -\frac{4 x}{b \sqrt{\tan \left(b x +a \right)}}+x^{2} \left(\sqrt{\tan}\left(b x +a \right)\right)+\frac{x^{2}}{\tan \left(b x +a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(-4*x/b/tan(b*x+a)^(1/2)+x^2*tan(b*x+a)^(1/2)+x^2/tan(b*x+a)^(3/2),x)","F"
17,0,0,15,1.057000," ","int(x^2/tan(b*x^2+a)^(1/2)+tan(b*x^2+a)^(1/2)/b+x^2*tan(b*x^2+a)^(3/2),x)","\int \frac{x^{2}}{\sqrt{\tan \left(b \,x^{2}+a \right)}}+\frac{\sqrt{\tan}\left(b \,x^{2}+a \right)}{b}+x^{2} \left(\tan^{\frac{3}{2}}\left(b \,x^{2}+a \right)\right)\, dx"," ",0,"int(x^2/tan(b*x^2+a)^(1/2)+tan(b*x^2+a)^(1/2)/b+x^2*tan(b*x^2+a)^(3/2),x)","F"
18,1,1061,165,0.646000," ","int((d*x+c)^3/(a+I*a*tan(f*x+e)),x)","\frac{-\frac{3 i c^{2} d e \left(\cos^{2}\left(f x +e \right)\right)}{2 f}+\frac{i c^{3} \left(\cos^{2}\left(f x +e \right)\right)}{2}-\frac{3 i d^{3} e^{2} \left(-\frac{\left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{2}+\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{4}+\frac{f x}{4}+\frac{e}{4}\right)}{f^{3}}-\frac{i d^{3} \left(-\frac{\left(f x +e \right)^{3} \left(\cos^{2}\left(f x +e \right)\right)}{2}+\frac{3 \left(f x +e \right)^{2} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{2}+\frac{3 \left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{4}-\frac{3 \sin \left(f x +e \right) \cos \left(f x +e \right)}{8}-\frac{3 f x}{8}-\frac{3 e}{8}-\frac{\left(f x +e \right)^{3}}{2}\right)}{f^{3}}+\frac{3 i c \,d^{2} e^{2} \left(\cos^{2}\left(f x +e \right)\right)}{2 f^{2}}-\frac{3 i c^{2} d \left(-\frac{\left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{2}+\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{4}+\frac{f x}{4}+\frac{e}{4}\right)}{f}+\frac{3 i d^{3} e \left(-\frac{\left(f x +e \right)^{2} \left(\cos^{2}\left(f x +e \right)\right)}{2}+\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f^{3}}+\frac{6 i c \,d^{2} e \left(-\frac{\left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{2}+\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{4}+\frac{f x}{4}+\frac{e}{4}\right)}{f^{2}}-\frac{i d^{3} e^{3} \left(\cos^{2}\left(f x +e \right)\right)}{2 f^{3}}-\frac{3 i c \,d^{2} \left(-\frac{\left(f x +e \right)^{2} \left(\cos^{2}\left(f x +e \right)\right)}{2}+\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f^{2}}+\frac{d^{3} \left(\left(f x +e \right)^{3} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+\frac{3 \left(f x +e \right)^{2} \left(\cos^{2}\left(f x +e \right)\right)}{4}-\frac{3 \left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{2}+\frac{3 \left(f x +e \right)^{2}}{8}+\frac{3 \left(\sin^{2}\left(f x +e \right)\right)}{8}-\frac{3 \left(f x +e \right)^{4}}{8}\right)}{f^{3}}+\frac{3 c \,d^{2} \left(\left(f x +e \right)^{2} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+\frac{\left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{2}-\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{4}-\frac{f x}{4}-\frac{e}{4}-\frac{\left(f x +e \right)^{3}}{3}\right)}{f^{2}}-\frac{3 d^{3} e \left(\left(f x +e \right)^{2} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+\frac{\left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{2}-\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{4}-\frac{f x}{4}-\frac{e}{4}-\frac{\left(f x +e \right)^{3}}{3}\right)}{f^{3}}+\frac{3 c^{2} d \left(\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f}-\frac{6 c \,d^{2} e \left(\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f^{2}}+\frac{3 d^{3} e^{2} \left(\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f^{3}}+c^{3} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{3 c^{2} d e \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f}+\frac{3 c \,d^{2} e^{2} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f^{2}}-\frac{d^{3} e^{3} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f^{3}}}{a f}"," ",0,"1/a/f*(-3/2*I/f*c^2*d*e*cos(f*x+e)^2+1/2*I*c^3*cos(f*x+e)^2-3*I/f^3*d^3*e^2*(-1/2*(f*x+e)*cos(f*x+e)^2+1/4*sin(f*x+e)*cos(f*x+e)+1/4*f*x+1/4*e)-I/f^3*d^3*(-1/2*(f*x+e)^3*cos(f*x+e)^2+3/2*(f*x+e)^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+3/4*(f*x+e)*cos(f*x+e)^2-3/8*sin(f*x+e)*cos(f*x+e)-3/8*f*x-3/8*e-1/2*(f*x+e)^3)+3/2*I/f^2*c*d^2*e^2*cos(f*x+e)^2-3*I/f*c^2*d*(-1/2*(f*x+e)*cos(f*x+e)^2+1/4*sin(f*x+e)*cos(f*x+e)+1/4*f*x+1/4*e)+3*I/f^3*d^3*e*(-1/2*(f*x+e)^2*cos(f*x+e)^2+(f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)+6*I/f^2*c*d^2*e*(-1/2*(f*x+e)*cos(f*x+e)^2+1/4*sin(f*x+e)*cos(f*x+e)+1/4*f*x+1/4*e)-1/2*I/f^3*d^3*e^3*cos(f*x+e)^2-3*I/f^2*c*d^2*(-1/2*(f*x+e)^2*cos(f*x+e)^2+(f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)+1/f^3*d^3*((f*x+e)^3*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+3/4*(f*x+e)^2*cos(f*x+e)^2-3/2*(f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+3/8*(f*x+e)^2+3/8*sin(f*x+e)^2-3/8*(f*x+e)^4)+3/f^2*c*d^2*((f*x+e)^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+1/2*(f*x+e)*cos(f*x+e)^2-1/4*sin(f*x+e)*cos(f*x+e)-1/4*f*x-1/4*e-1/3*(f*x+e)^3)-3/f^3*d^3*e*((f*x+e)^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+1/2*(f*x+e)*cos(f*x+e)^2-1/4*sin(f*x+e)*cos(f*x+e)-1/4*f*x-1/4*e-1/3*(f*x+e)^3)+3/f*c^2*d*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)-6/f^2*c*d^2*e*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)+3/f^3*d^3*e^2*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)+c^3*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-3/f*c^2*d*e*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+3/f^2*c*d^2*e^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/f^3*d^3*e^3*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e))","B"
19,1,509,119,0.618000," ","int((d*x+c)^2/(a+I*a*tan(f*x+e)),x)","\frac{-\frac{i d^{2} \left(-\frac{\left(f x +e \right)^{2} \left(\cos^{2}\left(f x +e \right)\right)}{2}+\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f^{2}}-\frac{2 i c d \left(-\frac{\left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{2}+\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{4}+\frac{f x}{4}+\frac{e}{4}\right)}{f}+\frac{2 i d^{2} e \left(-\frac{\left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{2}+\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{4}+\frac{f x}{4}+\frac{e}{4}\right)}{f^{2}}+\frac{i c^{2} \left(\cos^{2}\left(f x +e \right)\right)}{2}-\frac{i c d e \left(\cos^{2}\left(f x +e \right)\right)}{f}+\frac{i d^{2} e^{2} \left(\cos^{2}\left(f x +e \right)\right)}{2 f^{2}}+\frac{d^{2} \left(\left(f x +e \right)^{2} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+\frac{\left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{2}-\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{4}-\frac{f x}{4}-\frac{e}{4}-\frac{\left(f x +e \right)^{3}}{3}\right)}{f^{2}}+\frac{2 c d \left(\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f}-\frac{2 d^{2} e \left(\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f^{2}}+c^{2} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{2 c d e \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f}+\frac{d^{2} e^{2} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f^{2}}}{a f}"," ",0,"1/a/f*(-I/f^2*d^2*(-1/2*(f*x+e)^2*cos(f*x+e)^2+(f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)-2*I/f*c*d*(-1/2*(f*x+e)*cos(f*x+e)^2+1/4*sin(f*x+e)*cos(f*x+e)+1/4*f*x+1/4*e)+2*I/f^2*d^2*e*(-1/2*(f*x+e)*cos(f*x+e)^2+1/4*sin(f*x+e)*cos(f*x+e)+1/4*f*x+1/4*e)+1/2*I*c^2*cos(f*x+e)^2-I/f*c*d*e*cos(f*x+e)^2+1/2*I/f^2*d^2*e^2*cos(f*x+e)^2+1/f^2*d^2*((f*x+e)^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+1/2*(f*x+e)*cos(f*x+e)^2-1/4*sin(f*x+e)*cos(f*x+e)-1/4*f*x-1/4*e-1/3*(f*x+e)^3)+2/f*c*d*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)-2/f^2*d^2*e*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)+c^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-2/f*c*d*e*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+1/f^2*d^2*e^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e))","B"
20,1,187,72,0.555000," ","int((d*x+c)/(a+I*a*tan(f*x+e)),x)","\frac{-\frac{i d \left(-\frac{\left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{2}+\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{4}+\frac{f x}{4}+\frac{e}{4}\right)}{f}+\frac{i c \left(\cos^{2}\left(f x +e \right)\right)}{2}-\frac{i d e \left(\cos^{2}\left(f x +e \right)\right)}{2 f}+\frac{d \left(\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f}+c \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{d e \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f}}{a f}"," ",0,"1/a/f*(-I/f*d*(-1/2*(f*x+e)*cos(f*x+e)^2+1/4*sin(f*x+e)*cos(f*x+e)+1/4*f*x+1/4*e)+1/2*I*c*cos(f*x+e)^2-1/2*I/f*d*e*cos(f*x+e)^2+1/f*d*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)+c*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/f*d*e*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e))","B"
21,1,204,149,0.513000," ","int(1/(d*x+c)/(a+I*a*tan(f*x+e)),x)","-\frac{i \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{2 a d}+\frac{i \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{2 a d}+\frac{\Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{2 a d}+\frac{\Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{2 a d}+\frac{\ln \left(\left(f x +e \right) d +c f -d e \right)}{2 a d}"," ",0,"-1/2*I/a*Si(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d+1/2*I/a*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d+1/2/a*Si(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d+1/2/a*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d+1/2/a*ln((f*x+e)*d+c*f-d*e)/d","A"
22,1,285,164,0.474000," ","int(1/(d*x+c)^2/(a+I*a*tan(f*x+e)),x)","\frac{-\frac{i f^{2} \left(-\frac{2 \sin \left(2 f x +2 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}+\frac{\frac{4 \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{d}+\frac{4 \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{d}}{d}\right)}{4}+\frac{f^{2} \left(-\frac{2 \cos \left(2 f x +2 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}-\frac{2 \left(\frac{2 \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{d}-\frac{2 \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{d}\right)}{d}\right)}{4}-\frac{f^{2}}{2 \left(\left(f x +e \right) d +c f -d e \right) d}}{a f}"," ",0,"1/a/f*(-1/4*I*f^2*(-2*sin(2*f*x+2*e)/((f*x+e)*d+c*f-d*e)/d+2*(2*Si(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d+2*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d)/d)+1/4*f^2*(-2*cos(2*f*x+2*e)/((f*x+e)*d+c*f-d*e)/d-2*(2*Si(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d-2*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d)/d)-1/2*f^2/((f*x+e)*d+c*f-d*e)/d)","A"
23,1,358,218,0.491000," ","int(1/(d*x+c)^3/(a+I*a*tan(f*x+e)),x)","\frac{-\frac{i f^{3} \left(-\frac{\sin \left(2 f x +2 e \right)}{\left(\left(f x +e \right) d +c f -d e \right)^{2} d}+\frac{-\frac{2 \cos \left(2 f x +2 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}-\frac{2 \left(\frac{2 \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{d}-\frac{2 \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{d}\right)}{d}}{d}\right)}{4}+\frac{f^{3} \left(-\frac{\cos \left(2 f x +2 e \right)}{\left(\left(f x +e \right) d +c f -d e \right)^{2} d}-\frac{-\frac{2 \sin \left(2 f x +2 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}+\frac{\frac{4 \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{d}+\frac{4 \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{d}}{d}}{d}\right)}{4}-\frac{f^{3}}{4 \left(\left(f x +e \right) d +c f -d e \right)^{2} d}}{a f}"," ",0,"1/a/f*(-1/4*I*f^3*(-sin(2*f*x+2*e)/((f*x+e)*d+c*f-d*e)^2/d+(-2*cos(2*f*x+2*e)/((f*x+e)*d+c*f-d*e)/d-2*(2*Si(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d-2*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d)/d)/d)+1/4*f^3*(-cos(2*f*x+2*e)/((f*x+e)*d+c*f-d*e)^2/d-(-2*sin(2*f*x+2*e)/((f*x+e)*d+c*f-d*e)/d+2*(2*Si(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d+2*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d)/d)/d)-1/4*f^3/((f*x+e)*d+c*f-d*e)^2/d)","A"
24,1,2070,224,0.869000," ","int((d*x+c)^3/(a+I*a*tan(f*x+e))^2,x)","\text{Expression too large to display}"," ",0,"1/a^2/f*(-3/f^2*c*d^2*((f*x+e)^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+1/2*(f*x+e)*cos(f*x+e)^2-1/4*sin(f*x+e)*cos(f*x+e)-1/4*f*x-1/4*e-1/3*(f*x+e)^3)+3/f^3*d^3*e*((f*x+e)^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+1/2*(f*x+e)*cos(f*x+e)^2-1/4*sin(f*x+e)*cos(f*x+e)-1/4*f*x-1/4*e-1/3*(f*x+e)^3)-3/f*c^2*d*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)-3/f^3*d^3*e^2*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)+1/f^3*d^3*e^3*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+6/f*c^2*d*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)-6/f^3*d^3*e*((f*x+e)^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+1/8*(f*x+e)*cos(f*x+e)^4-1/32*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)-15/64*f*x-15/64*e+3/8*(f*x+e)*cos(f*x+e)^2-3/16*sin(f*x+e)*cos(f*x+e)-1/4*(f*x+e)^3)+6/f^3*d^3*e^2*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)+6/f^2*c*d^2*((f*x+e)^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+1/8*(f*x+e)*cos(f*x+e)^4-1/32*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)-15/64*f*x-15/64*e+3/8*(f*x+e)*cos(f*x+e)^2-3/16*sin(f*x+e)*cos(f*x+e)-1/4*(f*x+e)^3)-2/f^3*d^3*e^3*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-2*I/f^3*d^3*(-1/4*(f*x+e)^3*cos(f*x+e)^4+3/4*(f*x+e)^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+3/32*(f*x+e)*cos(f*x+e)^4-3/128*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)-45/256*f*x-45/256*e+9/32*(f*x+e)*cos(f*x+e)^2-9/64*sin(f*x+e)*cos(f*x+e)-3/16*(f*x+e)^3)+3/2*I/f^2*c*d^2*e^2*cos(f*x+e)^4-3/2*I/f*c^2*d*e*cos(f*x+e)^4+12*I/f^2*c*d^2*e*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)-1/f^3*d^3*((f*x+e)^3*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+3/4*(f*x+e)^2*cos(f*x+e)^2-3/2*(f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+3/8*(f*x+e)^2+3/8*sin(f*x+e)^2-3/8*(f*x+e)^4)+6/f^2*c*d^2*e^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-6/f*c^2*d*e*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-1/2*I/f^3*d^3*e^3*cos(f*x+e)^4-6*I/f*c^2*d*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)+6*I/f^3*d^3*e*(-1/4*(f*x+e)^2*cos(f*x+e)^4+1/2*(f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/32*(f*x+e)^2+1/32*cos(f*x+e)^4+3/32*cos(f*x+e)^2)-6*I/f^2*c*d^2*(-1/4*(f*x+e)^2*cos(f*x+e)^4+1/2*(f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/32*(f*x+e)^2+1/32*cos(f*x+e)^4+3/32*cos(f*x+e)^2)-6*I/f^3*d^3*e^2*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)-12/f^2*c*d^2*e*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)+6/f^2*c*d^2*e*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)+3/f*c^2*d*e*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-3/f^2*c*d^2*e^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+1/2*I*c^3*cos(f*x+e)^4+2/f^3*d^3*((f*x+e)^3*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+3/16*(f*x+e)^2*cos(f*x+e)^4-3/8*(f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+45/128*(f*x+e)^2-3/128*cos(f*x+e)^4-9/128*cos(f*x+e)^2+9/16*(f*x+e)^2*cos(f*x+e)^2-9/8*(f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+9/32*sin(f*x+e)^2-9/32*(f*x+e)^4)+2*c^3*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-c^3*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e))","B"
25,1,968,166,0.751000," ","int((d*x+c)^2/(a+I*a*tan(f*x+e))^2,x)","\frac{-\frac{i c d e \left(\cos^{4}\left(f x +e \right)\right)}{f}+\frac{i c^{2} \left(\cos^{4}\left(f x +e \right)\right)}{2}-\frac{2 i d^{2} \left(-\frac{\left(f x +e \right)^{2} \left(\cos^{4}\left(f x +e \right)\right)}{4}+\frac{\left(f x +e \right) \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)}{2}-\frac{3 \left(f x +e \right)^{2}}{32}+\frac{\left(\cos^{4}\left(f x +e \right)\right)}{32}+\frac{3 \left(\cos^{2}\left(f x +e \right)\right)}{32}\right)}{f^{2}}+\frac{i d^{2} e^{2} \left(\cos^{4}\left(f x +e \right)\right)}{2 f^{2}}-\frac{4 i c d \left(-\frac{\left(f x +e \right) \left(\cos^{4}\left(f x +e \right)\right)}{4}+\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{16}+\frac{3 f x}{32}+\frac{3 e}{32}\right)}{f}+\frac{4 i d^{2} e \left(-\frac{\left(f x +e \right) \left(\cos^{4}\left(f x +e \right)\right)}{4}+\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{16}+\frac{3 f x}{32}+\frac{3 e}{32}\right)}{f^{2}}+\frac{2 d^{2} \left(\left(f x +e \right)^{2} \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)+\frac{\left(f x +e \right) \left(\cos^{4}\left(f x +e \right)\right)}{8}-\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{32}-\frac{15 f x}{64}-\frac{15 e}{64}+\frac{3 \left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{8}-\frac{3 \sin \left(f x +e \right) \cos \left(f x +e \right)}{16}-\frac{\left(f x +e \right)^{3}}{4}\right)}{f^{2}}+\frac{4 c d \left(\left(f x +e \right) \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)-\frac{3 \left(f x +e \right)^{2}}{16}+\frac{\left(\cos^{4}\left(f x +e \right)\right)}{16}+\frac{3 \left(\cos^{2}\left(f x +e \right)\right)}{16}\right)}{f}-\frac{4 d^{2} e \left(\left(f x +e \right) \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)-\frac{3 \left(f x +e \right)^{2}}{16}+\frac{\left(\cos^{4}\left(f x +e \right)\right)}{16}+\frac{3 \left(\cos^{2}\left(f x +e \right)\right)}{16}\right)}{f^{2}}+2 c^{2} \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)-\frac{4 c d e \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)}{f}+\frac{2 d^{2} e^{2} \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)}{f^{2}}-\frac{d^{2} \left(\left(f x +e \right)^{2} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+\frac{\left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{2}-\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{4}-\frac{f x}{4}-\frac{e}{4}-\frac{\left(f x +e \right)^{3}}{3}\right)}{f^{2}}-\frac{2 c d \left(\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f}+\frac{2 d^{2} e \left(\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f^{2}}-c^{2} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+\frac{2 c d e \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f}-\frac{d^{2} e^{2} \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f^{2}}}{a^{2} f}"," ",0,"1/a^2/f*(-I/f*c*d*e*cos(f*x+e)^4+1/2*I*c^2*cos(f*x+e)^4-2*I/f^2*d^2*(-1/4*(f*x+e)^2*cos(f*x+e)^4+1/2*(f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/32*(f*x+e)^2+1/32*cos(f*x+e)^4+3/32*cos(f*x+e)^2)+1/2*I/f^2*d^2*e^2*cos(f*x+e)^4-4*I/f*c*d*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)+4*I/f^2*d^2*e*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)+2/f^2*d^2*((f*x+e)^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+1/8*(f*x+e)*cos(f*x+e)^4-1/32*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)-15/64*f*x-15/64*e+3/8*(f*x+e)*cos(f*x+e)^2-3/16*sin(f*x+e)*cos(f*x+e)-1/4*(f*x+e)^3)+4/f*c*d*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)-4/f^2*d^2*e*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)+2*c^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-4/f*c*d*e*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+2/f^2*d^2*e^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-1/f^2*d^2*((f*x+e)^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+1/2*(f*x+e)*cos(f*x+e)^2-1/4*sin(f*x+e)*cos(f*x+e)-1/4*f*x-1/4*e-1/3*(f*x+e)^3)-2/f*c*d*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)+2/f^2*d^2*e*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)-c^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+2/f*c*d*e*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/f^2*d^2*e^2*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e))","B"
26,1,350,130,0.679000," ","int((d*x+c)/(a+I*a*tan(f*x+e))^2,x)","\frac{-\frac{2 i d \left(-\frac{\left(f x +e \right) \left(\cos^{4}\left(f x +e \right)\right)}{4}+\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{16}+\frac{3 f x}{32}+\frac{3 e}{32}\right)}{f}+\frac{i c \left(\cos^{4}\left(f x +e \right)\right)}{2}-\frac{i d e \left(\cos^{4}\left(f x +e \right)\right)}{2 f}+\frac{2 d \left(\left(f x +e \right) \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)-\frac{3 \left(f x +e \right)^{2}}{16}+\frac{\left(\cos^{4}\left(f x +e \right)\right)}{16}+\frac{3 \left(\cos^{2}\left(f x +e \right)\right)}{16}\right)}{f}+2 c \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)-\frac{2 d e \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)}{f}-\frac{d \left(\left(f x +e \right) \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)-\frac{\left(f x +e \right)^{2}}{4}-\frac{\left(\sin^{2}\left(f x +e \right)\right)}{4}\right)}{f}-c \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)+\frac{d e \left(\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f}}{a^{2} f}"," ",0,"1/a^2/f*(-2*I/f*d*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)+1/2*I*c*cos(f*x+e)^4-1/2*I/f*d*e*cos(f*x+e)^4+2/f*d*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)+2*c*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-2/f*d*e*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-1/f*d*((f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)-1/4*(f*x+e)^2-1/4*sin(f*x+e)^2)-c*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+1/f*d*e*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e))","B"
27,1,382,283,0.572000," ","int(1/(d*x+c)/(a+I*a*tan(f*x+e))^2,x)","-\frac{i \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{2 a^{2} d}+\frac{i \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{2 a^{2} d}-\frac{i \Si \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \cos \left(\frac{4 c f -4 d e}{d}\right)}{4 a^{2} d}+\frac{i \Ci \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \sin \left(\frac{4 c f -4 d e}{d}\right)}{4 a^{2} d}+\frac{\Si \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \sin \left(\frac{4 c f -4 d e}{d}\right)}{4 a^{2} d}+\frac{\Ci \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \cos \left(\frac{4 c f -4 d e}{d}\right)}{4 a^{2} d}+\frac{\Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{2 a^{2} d}+\frac{\Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{2 a^{2} d}+\frac{\ln \left(\left(f x +e \right) d +c f -d e \right)}{4 a^{2} d}"," ",0,"-1/2*I/a^2*Si(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d+1/2*I/a^2*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d-1/4*I/a^2*Si(4*f*x+4*e+4*(c*f-d*e)/d)*cos(4*(c*f-d*e)/d)/d+1/4*I/a^2*Ci(4*f*x+4*e+4*(c*f-d*e)/d)*sin(4*(c*f-d*e)/d)/d+1/4/a^2*Si(4*f*x+4*e+4*(c*f-d*e)/d)*sin(4*(c*f-d*e)/d)/d+1/4/a^2*Ci(4*f*x+4*e+4*(c*f-d*e)/d)*cos(4*(c*f-d*e)/d)/d+1/2/a^2*Si(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d+1/2/a^2*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d+1/4/a^2*ln((f*x+e)*d+c*f-d*e)/d","A"
28,1,536,416,0.568000," ","int(1/(d*x+c)^2/(a+I*a*tan(f*x+e))^2,x)","\frac{-\frac{i f^{2} \left(-\frac{2 \sin \left(2 f x +2 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}+\frac{\frac{4 \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{d}+\frac{4 \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{d}}{d}\right)}{4}-\frac{i f^{2} \left(-\frac{4 \sin \left(4 f x +4 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}+\frac{\frac{16 \Si \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \sin \left(\frac{4 c f -4 d e}{d}\right)}{d}+\frac{16 \Ci \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \cos \left(\frac{4 c f -4 d e}{d}\right)}{d}}{d}\right)}{16}+\frac{f^{2} \left(-\frac{4 \cos \left(4 f x +4 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}-\frac{4 \left(\frac{4 \Si \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \cos \left(\frac{4 c f -4 d e}{d}\right)}{d}-\frac{4 \Ci \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \sin \left(\frac{4 c f -4 d e}{d}\right)}{d}\right)}{d}\right)}{16}+\frac{f^{2} \left(-\frac{2 \cos \left(2 f x +2 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}-\frac{2 \left(\frac{2 \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{d}-\frac{2 \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{d}\right)}{d}\right)}{4}-\frac{f^{2}}{4 \left(\left(f x +e \right) d +c f -d e \right) d}}{a^{2} f}"," ",0,"1/a^2/f*(-1/4*I*f^2*(-2*sin(2*f*x+2*e)/((f*x+e)*d+c*f-d*e)/d+2*(2*Si(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d+2*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d)/d)-1/16*I*f^2*(-4*sin(4*f*x+4*e)/((f*x+e)*d+c*f-d*e)/d+4*(4*Si(4*f*x+4*e+4*(c*f-d*e)/d)*sin(4*(c*f-d*e)/d)/d+4*Ci(4*f*x+4*e+4*(c*f-d*e)/d)*cos(4*(c*f-d*e)/d)/d)/d)+1/16*f^2*(-4*cos(4*f*x+4*e)/((f*x+e)*d+c*f-d*e)/d-4*(4*Si(4*f*x+4*e+4*(c*f-d*e)/d)*cos(4*(c*f-d*e)/d)/d-4*Ci(4*f*x+4*e+4*(c*f-d*e)/d)*sin(4*(c*f-d*e)/d)/d)/d)+1/4*f^2*(-2*cos(2*f*x+2*e)/((f*x+e)*d+c*f-d*e)/d-2*(2*Si(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d-2*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d)/d)-1/4*f^2/((f*x+e)*d+c*f-d*e)/d)","A"
29,1,3404,328,0.930000," ","int((d*x+c)^3/(a+I*a*tan(f*x+e))^3,x)","\text{output too large to display}"," ",0,"1/a^3/f*(2/3*I*c^3*cos(f*x+e)^6-3/4*I/f^2*c*d^2*e^2*cos(f*x+e)^4-2*I/f*c^2*d*e*cos(f*x+e)^6+2*I/f^2*c*d^2*e^2*cos(f*x+e)^6+4/f^3*d^3*((f*x+e)^3*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)+1/12*(f*x+e)^2*cos(f*x+e)^6-1/6*(f*x+e)*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)+245/768*(f*x+e)^2-1/216*cos(f*x+e)^6-65/2304*cos(f*x+e)^4-65/768*cos(f*x+e)^2+5/32*(f*x+e)^2*cos(f*x+e)^4-5/16*(f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+15/32*(f*x+e)^2*cos(f*x+e)^2-15/16*(f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+15/64*sin(f*x+e)^2-15/64*(f*x+e)^4)-3/f^3*d^3*((f*x+e)^3*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+3/16*(f*x+e)^2*cos(f*x+e)^4-3/8*(f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+45/128*(f*x+e)^2-3/128*cos(f*x+e)^4-9/128*cos(f*x+e)^2+9/16*(f*x+e)^2*cos(f*x+e)^2-9/8*(f*x+e)*(1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)+9/32*sin(f*x+e)^2-9/32*(f*x+e)^4)-1/4*I*c^3*cos(f*x+e)^4-3*c^3*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+4*c^3*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-9/f*c^2*d*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)+9/f^3*d^3*e*((f*x+e)^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+1/8*(f*x+e)*cos(f*x+e)^4-1/32*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)-15/64*f*x-15/64*e+3/8*(f*x+e)*cos(f*x+e)^2-3/16*sin(f*x+e)*cos(f*x+e)-1/4*(f*x+e)^3)-9/f^3*d^3*e^2*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)-9/f^2*c*d^2*((f*x+e)^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+1/8*(f*x+e)*cos(f*x+e)^4-1/32*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)-15/64*f*x-15/64*e+3/8*(f*x+e)*cos(f*x+e)^2-3/16*sin(f*x+e)*cos(f*x+e)-1/4*(f*x+e)^3)+3/f^3*d^3*e^3*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+I/f^3*d^3*(-1/4*(f*x+e)^3*cos(f*x+e)^4+3/4*(f*x+e)^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+3/32*(f*x+e)*cos(f*x+e)^4-3/128*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)-45/256*f*x-45/256*e+9/32*(f*x+e)*cos(f*x+e)^2-9/64*sin(f*x+e)*cos(f*x+e)-3/16*(f*x+e)^3)-4*I/f^3*d^3*(-1/6*(f*x+e)^3*cos(f*x+e)^6+1/2*(f*x+e)^2*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)+1/36*(f*x+e)*cos(f*x+e)^6-1/216*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)-245/2304*f*x-245/2304*e+5/96*(f*x+e)*cos(f*x+e)^4-5/384*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+5/32*(f*x+e)*cos(f*x+e)^2-5/64*sin(f*x+e)*cos(f*x+e)-5/48*(f*x+e)^3)-4/f^3*d^3*e^3*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)+12/f^2*c*d^2*((f*x+e)^2*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)+1/18*(f*x+e)*cos(f*x+e)^6-1/108*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)-245/1152*f*x-245/1152*e+5/48*(f*x+e)*cos(f*x+e)^4-5/192*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+5/16*(f*x+e)*cos(f*x+e)^2-5/32*sin(f*x+e)*cos(f*x+e)-5/24*(f*x+e)^3)+12/f*c^2*d*((f*x+e)*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-5/32*(f*x+e)^2+1/36*cos(f*x+e)^6+5/96*cos(f*x+e)^4+5/32*cos(f*x+e)^2)-12/f^3*d^3*e*((f*x+e)^2*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)+1/18*(f*x+e)*cos(f*x+e)^6-1/108*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)-245/1152*f*x-245/1152*e+5/48*(f*x+e)*cos(f*x+e)^4-5/192*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+5/16*(f*x+e)*cos(f*x+e)^2-5/32*sin(f*x+e)*cos(f*x+e)-5/24*(f*x+e)^3)+12/f^3*d^3*e^2*((f*x+e)*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-5/32*(f*x+e)^2+1/36*cos(f*x+e)^6+5/96*cos(f*x+e)^4+5/32*cos(f*x+e)^2)+3*I/f^3*d^3*e^2*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)+12*I/f^3*d^3*e*(-1/6*(f*x+e)^2*cos(f*x+e)^6+1/3*(f*x+e)*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-5/96*(f*x+e)^2+1/108*cos(f*x+e)^6+5/288*cos(f*x+e)^4+5/96*cos(f*x+e)^2)-12*I/f^3*d^3*e^2*(-1/6*(f*x+e)*cos(f*x+e)^6+1/36*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/96*f*x+5/96*e)+3*I/f^2*c*d^2*(-1/4*(f*x+e)^2*cos(f*x+e)^4+1/2*(f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/32*(f*x+e)^2+1/32*cos(f*x+e)^4+3/32*cos(f*x+e)^2)+3*I/f*c^2*d*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)-12*I/f^2*c*d^2*(-1/6*(f*x+e)^2*cos(f*x+e)^6+1/3*(f*x+e)*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-5/96*(f*x+e)^2+1/108*cos(f*x+e)^6+5/288*cos(f*x+e)^4+5/96*cos(f*x+e)^2)-12*I/f*c^2*d*(-1/6*(f*x+e)*cos(f*x+e)^6+1/36*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/96*f*x+5/96*e)+1/4*I/f^3*d^3*e^3*cos(f*x+e)^4-2/3*I/f^3*d^3*e^3*cos(f*x+e)^6+12/f^2*c*d^2*e^2*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-9/f^2*c*d^2*e^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+9/f*c^2*d*e*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+18/f^2*c*d^2*e*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)-24/f^2*c*d^2*e*((f*x+e)*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-5/32*(f*x+e)^2+1/36*cos(f*x+e)^6+5/96*cos(f*x+e)^4+5/32*cos(f*x+e)^2)-12/f*c^2*d*e*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-3*I/f^3*d^3*e*(-1/4*(f*x+e)^2*cos(f*x+e)^4+1/2*(f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/32*(f*x+e)^2+1/32*cos(f*x+e)^4+3/32*cos(f*x+e)^2)-6*I/f^2*c*d^2*e*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)+3/4*I/f*c^2*d*e*cos(f*x+e)^4+24*I/f^2*c*d^2*e*(-1/6*(f*x+e)*cos(f*x+e)^6+1/36*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/96*f*x+5/96*e))","B"
30,1,1525,241,0.892000," ","int((d*x+c)^2/(a+I*a*tan(f*x+e))^3,x)","\frac{\frac{8 i d^{2} e \left(-\frac{\left(f x +e \right) \left(\cos^{6}\left(f x +e \right)\right)}{6}+\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{36}+\frac{5 f x}{96}+\frac{5 e}{96}\right)}{f^{2}}+\frac{2 i c^{2} \left(\cos^{6}\left(f x +e \right)\right)}{3}-\frac{i c^{2} \left(\cos^{4}\left(f x +e \right)\right)}{4}-\frac{2 i d^{2} e \left(-\frac{\left(f x +e \right) \left(\cos^{4}\left(f x +e \right)\right)}{4}+\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{16}+\frac{3 f x}{32}+\frac{3 e}{32}\right)}{f^{2}}-\frac{8 i c d \left(-\frac{\left(f x +e \right) \left(\cos^{6}\left(f x +e \right)\right)}{6}+\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{36}+\frac{5 f x}{96}+\frac{5 e}{96}\right)}{f}+\frac{i c d e \left(\cos^{4}\left(f x +e \right)\right)}{2 f}+\frac{4 d^{2} \left(\left(f x +e \right)^{2} \left(\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{6}+\frac{5 f x}{16}+\frac{5 e}{16}\right)+\frac{\left(f x +e \right) \left(\cos^{6}\left(f x +e \right)\right)}{18}-\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{108}-\frac{245 f x}{1152}-\frac{245 e}{1152}+\frac{5 \left(f x +e \right) \left(\cos^{4}\left(f x +e \right)\right)}{48}-\frac{5 \left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{192}+\frac{5 \left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{16}-\frac{5 \sin \left(f x +e \right) \cos \left(f x +e \right)}{32}-\frac{5 \left(f x +e \right)^{3}}{24}\right)}{f^{2}}+\frac{8 c d \left(\left(f x +e \right) \left(\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{6}+\frac{5 f x}{16}+\frac{5 e}{16}\right)-\frac{5 \left(f x +e \right)^{2}}{32}+\frac{\left(\cos^{6}\left(f x +e \right)\right)}{36}+\frac{5 \left(\cos^{4}\left(f x +e \right)\right)}{96}+\frac{5 \left(\cos^{2}\left(f x +e \right)\right)}{32}\right)}{f}-\frac{8 d^{2} e \left(\left(f x +e \right) \left(\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{6}+\frac{5 f x}{16}+\frac{5 e}{16}\right)-\frac{5 \left(f x +e \right)^{2}}{32}+\frac{\left(\cos^{6}\left(f x +e \right)\right)}{36}+\frac{5 \left(\cos^{4}\left(f x +e \right)\right)}{96}+\frac{5 \left(\cos^{2}\left(f x +e \right)\right)}{32}\right)}{f^{2}}+4 c^{2} \left(\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{6}+\frac{5 f x}{16}+\frac{5 e}{16}\right)-\frac{8 c d e \left(\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{6}+\frac{5 f x}{16}+\frac{5 e}{16}\right)}{f}+\frac{4 d^{2} e^{2} \left(\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{6}+\frac{5 f x}{16}+\frac{5 e}{16}\right)}{f^{2}}+\frac{2 i d^{2} e^{2} \left(\cos^{6}\left(f x +e \right)\right)}{3 f^{2}}+\frac{2 i c d \left(-\frac{\left(f x +e \right) \left(\cos^{4}\left(f x +e \right)\right)}{4}+\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{16}+\frac{3 f x}{32}+\frac{3 e}{32}\right)}{f}-\frac{i d^{2} e^{2} \left(\cos^{4}\left(f x +e \right)\right)}{4 f^{2}}-\frac{4 i d^{2} \left(-\frac{\left(f x +e \right)^{2} \left(\cos^{6}\left(f x +e \right)\right)}{6}+\frac{\left(f x +e \right) \left(\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{6}+\frac{5 f x}{16}+\frac{5 e}{16}\right)}{3}-\frac{5 \left(f x +e \right)^{2}}{96}+\frac{\left(\cos^{6}\left(f x +e \right)\right)}{108}+\frac{5 \left(\cos^{4}\left(f x +e \right)\right)}{288}+\frac{5 \left(\cos^{2}\left(f x +e \right)\right)}{96}\right)}{f^{2}}+\frac{i d^{2} \left(-\frac{\left(f x +e \right)^{2} \left(\cos^{4}\left(f x +e \right)\right)}{4}+\frac{\left(f x +e \right) \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)}{2}-\frac{3 \left(f x +e \right)^{2}}{32}+\frac{\left(\cos^{4}\left(f x +e \right)\right)}{32}+\frac{3 \left(\cos^{2}\left(f x +e \right)\right)}{32}\right)}{f^{2}}-\frac{4 i c d e \left(\cos^{6}\left(f x +e \right)\right)}{3 f}-\frac{3 d^{2} \left(\left(f x +e \right)^{2} \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)+\frac{\left(f x +e \right) \left(\cos^{4}\left(f x +e \right)\right)}{8}-\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{32}-\frac{15 f x}{64}-\frac{15 e}{64}+\frac{3 \left(f x +e \right) \left(\cos^{2}\left(f x +e \right)\right)}{8}-\frac{3 \sin \left(f x +e \right) \cos \left(f x +e \right)}{16}-\frac{\left(f x +e \right)^{3}}{4}\right)}{f^{2}}-\frac{6 c d \left(\left(f x +e \right) \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)-\frac{3 \left(f x +e \right)^{2}}{16}+\frac{\left(\cos^{4}\left(f x +e \right)\right)}{16}+\frac{3 \left(\cos^{2}\left(f x +e \right)\right)}{16}\right)}{f}+\frac{6 d^{2} e \left(\left(f x +e \right) \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)-\frac{3 \left(f x +e \right)^{2}}{16}+\frac{\left(\cos^{4}\left(f x +e \right)\right)}{16}+\frac{3 \left(\cos^{2}\left(f x +e \right)\right)}{16}\right)}{f^{2}}-3 c^{2} \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)+\frac{6 c d e \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)}{f}-\frac{3 d^{2} e^{2} \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)}{f^{2}}}{a^{3} f}"," ",0,"1/a^3/f*(8*I/f^2*d^2*e*(-1/6*(f*x+e)*cos(f*x+e)^6+1/36*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/96*f*x+5/96*e)+2/3*I*c^2*cos(f*x+e)^6-1/4*I*c^2*cos(f*x+e)^4-2*I/f^2*d^2*e*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)-8*I/f*c*d*(-1/6*(f*x+e)*cos(f*x+e)^6+1/36*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/96*f*x+5/96*e)+1/2*I/f*c*d*e*cos(f*x+e)^4+4/f^2*d^2*((f*x+e)^2*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)+1/18*(f*x+e)*cos(f*x+e)^6-1/108*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)-245/1152*f*x-245/1152*e+5/48*(f*x+e)*cos(f*x+e)^4-5/192*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+5/16*(f*x+e)*cos(f*x+e)^2-5/32*sin(f*x+e)*cos(f*x+e)-5/24*(f*x+e)^3)+8/f*c*d*((f*x+e)*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-5/32*(f*x+e)^2+1/36*cos(f*x+e)^6+5/96*cos(f*x+e)^4+5/32*cos(f*x+e)^2)-8/f^2*d^2*e*((f*x+e)*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-5/32*(f*x+e)^2+1/36*cos(f*x+e)^6+5/96*cos(f*x+e)^4+5/32*cos(f*x+e)^2)+4*c^2*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-8/f*c*d*e*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)+4/f^2*d^2*e^2*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)+2/3*I/f^2*d^2*e^2*cos(f*x+e)^6+2*I/f*c*d*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)-1/4*I/f^2*d^2*e^2*cos(f*x+e)^4-4*I/f^2*d^2*(-1/6*(f*x+e)^2*cos(f*x+e)^6+1/3*(f*x+e)*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-5/96*(f*x+e)^2+1/108*cos(f*x+e)^6+5/288*cos(f*x+e)^4+5/96*cos(f*x+e)^2)+I/f^2*d^2*(-1/4*(f*x+e)^2*cos(f*x+e)^4+1/2*(f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/32*(f*x+e)^2+1/32*cos(f*x+e)^4+3/32*cos(f*x+e)^2)-4/3*I/f*c*d*e*cos(f*x+e)^6-3/f^2*d^2*((f*x+e)^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+1/8*(f*x+e)*cos(f*x+e)^4-1/32*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)-15/64*f*x-15/64*e+3/8*(f*x+e)*cos(f*x+e)^2-3/16*sin(f*x+e)*cos(f*x+e)-1/4*(f*x+e)^3)-6/f*c*d*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)+6/f^2*d^2*e*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)-3*c^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+6/f*c*d*e*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/f^2*d^2*e^2*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e))","B"
31,1,527,181,0.849000," ","int((d*x+c)/(a+I*a*tan(f*x+e))^3,x)","\frac{-\frac{4 i d \left(-\frac{\left(f x +e \right) \left(\cos^{6}\left(f x +e \right)\right)}{6}+\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{36}+\frac{5 f x}{96}+\frac{5 e}{96}\right)}{f}+\frac{2 i c \left(\cos^{6}\left(f x +e \right)\right)}{3}-\frac{2 i d e \left(\cos^{6}\left(f x +e \right)\right)}{3 f}+\frac{4 d \left(\left(f x +e \right) \left(\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{6}+\frac{5 f x}{16}+\frac{5 e}{16}\right)-\frac{5 \left(f x +e \right)^{2}}{32}+\frac{\left(\cos^{6}\left(f x +e \right)\right)}{36}+\frac{5 \left(\cos^{4}\left(f x +e \right)\right)}{96}+\frac{5 \left(\cos^{2}\left(f x +e \right)\right)}{32}\right)}{f}+4 c \left(\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{6}+\frac{5 f x}{16}+\frac{5 e}{16}\right)-\frac{4 d e \left(\frac{\left(\cos^{5}\left(f x +e \right)+\frac{5 \left(\cos^{3}\left(f x +e \right)\right)}{4}+\frac{15 \cos \left(f x +e \right)}{8}\right) \sin \left(f x +e \right)}{6}+\frac{5 f x}{16}+\frac{5 e}{16}\right)}{f}+\frac{i d \left(-\frac{\left(f x +e \right) \left(\cos^{4}\left(f x +e \right)\right)}{4}+\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{16}+\frac{3 f x}{32}+\frac{3 e}{32}\right)}{f}-\frac{i c \left(\cos^{4}\left(f x +e \right)\right)}{4}+\frac{i d e \left(\cos^{4}\left(f x +e \right)\right)}{4 f}-\frac{3 d \left(\left(f x +e \right) \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)-\frac{3 \left(f x +e \right)^{2}}{16}+\frac{\left(\cos^{4}\left(f x +e \right)\right)}{16}+\frac{3 \left(\cos^{2}\left(f x +e \right)\right)}{16}\right)}{f}-3 c \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)+\frac{3 d e \left(\frac{\left(\cos^{3}\left(f x +e \right)+\frac{3 \cos \left(f x +e \right)}{2}\right) \sin \left(f x +e \right)}{4}+\frac{3 f x}{8}+\frac{3 e}{8}\right)}{f}}{a^{3} f}"," ",0,"1/a^3/f*(-4*I/f*d*(-1/6*(f*x+e)*cos(f*x+e)^6+1/36*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/96*f*x+5/96*e)+2/3*I*c*cos(f*x+e)^6-2/3*I/f*d*e*cos(f*x+e)^6+4/f*d*((f*x+e)*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-5/32*(f*x+e)^2+1/36*cos(f*x+e)^6+5/96*cos(f*x+e)^4+5/32*cos(f*x+e)^2)+4*c*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)-4/f*d*e*(1/6*(cos(f*x+e)^5+5/4*cos(f*x+e)^3+15/8*cos(f*x+e))*sin(f*x+e)+5/16*f*x+5/16*e)+I/f*d*(-1/4*(f*x+e)*cos(f*x+e)^4+1/16*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/32*f*x+3/32*e)-1/4*I*c*cos(f*x+e)^4+1/4*I/f*d*e*cos(f*x+e)^4-3/f*d*((f*x+e)*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)-3/16*(f*x+e)^2+1/16*cos(f*x+e)^4+3/16*cos(f*x+e)^2)-3*c*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e)+3/f*d*e*(1/4*(cos(f*x+e)^3+3/2*cos(f*x+e))*sin(f*x+e)+3/8*f*x+3/8*e))","B"
32,1,560,417,0.615000," ","int(1/(d*x+c)/(a+I*a*tan(f*x+e))^3,x)","-\frac{3 i \Si \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \cos \left(\frac{4 c f -4 d e}{d}\right)}{8 a^{3} d}+\frac{3 i \Ci \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \sin \left(\frac{4 c f -4 d e}{d}\right)}{8 a^{3} d}-\frac{3 i \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{8 a^{3} d}+\frac{3 i \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{8 a^{3} d}-\frac{i \Si \left(6 f x +6 e +\frac{6 c f -6 d e}{d}\right) \cos \left(\frac{6 c f -6 d e}{d}\right)}{8 a^{3} d}+\frac{i \Ci \left(6 f x +6 e +\frac{6 c f -6 d e}{d}\right) \sin \left(\frac{6 c f -6 d e}{d}\right)}{8 a^{3} d}+\frac{\Si \left(6 f x +6 e +\frac{6 c f -6 d e}{d}\right) \sin \left(\frac{6 c f -6 d e}{d}\right)}{8 a^{3} d}+\frac{\Ci \left(6 f x +6 e +\frac{6 c f -6 d e}{d}\right) \cos \left(\frac{6 c f -6 d e}{d}\right)}{8 a^{3} d}+\frac{3 \Si \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \sin \left(\frac{4 c f -4 d e}{d}\right)}{8 a^{3} d}+\frac{3 \Ci \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \cos \left(\frac{4 c f -4 d e}{d}\right)}{8 a^{3} d}+\frac{3 \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{8 a^{3} d}+\frac{3 \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{8 a^{3} d}+\frac{\ln \left(\left(f x +e \right) d +c f -d e \right)}{8 a^{3} d}"," ",0,"-3/8*I/a^3*Si(4*f*x+4*e+4*(c*f-d*e)/d)*cos(4*(c*f-d*e)/d)/d+3/8*I/a^3*Ci(4*f*x+4*e+4*(c*f-d*e)/d)*sin(4*(c*f-d*e)/d)/d-3/8*I/a^3*Si(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d+3/8*I/a^3*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d-1/8*I/a^3*Si(6*f*x+6*e+6*(c*f-d*e)/d)*cos(6*(c*f-d*e)/d)/d+1/8*I/a^3*Ci(6*f*x+6*e+6*(c*f-d*e)/d)*sin(6*(c*f-d*e)/d)/d+1/8/a^3*Si(6*f*x+6*e+6*(c*f-d*e)/d)*sin(6*(c*f-d*e)/d)/d+1/8/a^3*Ci(6*f*x+6*e+6*(c*f-d*e)/d)*cos(6*(c*f-d*e)/d)/d+3/8/a^3*Si(4*f*x+4*e+4*(c*f-d*e)/d)*sin(4*(c*f-d*e)/d)/d+3/8/a^3*Ci(4*f*x+4*e+4*(c*f-d*e)/d)*cos(4*(c*f-d*e)/d)/d+3/8/a^3*Si(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d+3/8/a^3*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d+1/8/a^3*ln((f*x+e)*d+c*f-d*e)/d","A"
33,1,787,658,0.630000," ","int(1/(d*x+c)^2/(a+I*a*tan(f*x+e))^3,x)","\frac{-\frac{3 i f^{2} \left(-\frac{4 \sin \left(4 f x +4 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}+\frac{\frac{16 \Si \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \sin \left(\frac{4 c f -4 d e}{d}\right)}{d}+\frac{16 \Ci \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \cos \left(\frac{4 c f -4 d e}{d}\right)}{d}}{d}\right)}{32}-\frac{3 i f^{2} \left(-\frac{2 \sin \left(2 f x +2 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}+\frac{\frac{4 \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{d}+\frac{4 \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{d}}{d}\right)}{16}-\frac{i f^{2} \left(-\frac{6 \sin \left(6 f x +6 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}+\frac{\frac{36 \Si \left(6 f x +6 e +\frac{6 c f -6 d e}{d}\right) \sin \left(\frac{6 c f -6 d e}{d}\right)}{d}+\frac{36 \Ci \left(6 f x +6 e +\frac{6 c f -6 d e}{d}\right) \cos \left(\frac{6 c f -6 d e}{d}\right)}{d}}{d}\right)}{48}+\frac{f^{2} \left(-\frac{6 \cos \left(6 f x +6 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}-\frac{6 \left(\frac{6 \Si \left(6 f x +6 e +\frac{6 c f -6 d e}{d}\right) \cos \left(\frac{6 c f -6 d e}{d}\right)}{d}-\frac{6 \Ci \left(6 f x +6 e +\frac{6 c f -6 d e}{d}\right) \sin \left(\frac{6 c f -6 d e}{d}\right)}{d}\right)}{d}\right)}{48}+\frac{3 f^{2} \left(-\frac{4 \cos \left(4 f x +4 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}-\frac{4 \left(\frac{4 \Si \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \cos \left(\frac{4 c f -4 d e}{d}\right)}{d}-\frac{4 \Ci \left(4 f x +4 e +\frac{4 c f -4 d e}{d}\right) \sin \left(\frac{4 c f -4 d e}{d}\right)}{d}\right)}{d}\right)}{32}+\frac{3 f^{2} \left(-\frac{2 \cos \left(2 f x +2 e \right)}{\left(\left(f x +e \right) d +c f -d e \right) d}-\frac{2 \left(\frac{2 \Si \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \cos \left(\frac{2 c f -2 d e}{d}\right)}{d}-\frac{2 \Ci \left(2 f x +2 e +\frac{2 c f -2 d e}{d}\right) \sin \left(\frac{2 c f -2 d e}{d}\right)}{d}\right)}{d}\right)}{16}-\frac{f^{2}}{8 \left(\left(f x +e \right) d +c f -d e \right) d}}{a^{3} f}"," ",0,"1/a^3/f*(-3/32*I*f^2*(-4*sin(4*f*x+4*e)/((f*x+e)*d+c*f-d*e)/d+4*(4*Si(4*f*x+4*e+4*(c*f-d*e)/d)*sin(4*(c*f-d*e)/d)/d+4*Ci(4*f*x+4*e+4*(c*f-d*e)/d)*cos(4*(c*f-d*e)/d)/d)/d)-3/16*I*f^2*(-2*sin(2*f*x+2*e)/((f*x+e)*d+c*f-d*e)/d+2*(2*Si(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d+2*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d)/d)-1/48*I*f^2*(-6*sin(6*f*x+6*e)/((f*x+e)*d+c*f-d*e)/d+6*(6*Si(6*f*x+6*e+6*(c*f-d*e)/d)*sin(6*(c*f-d*e)/d)/d+6*Ci(6*f*x+6*e+6*(c*f-d*e)/d)*cos(6*(c*f-d*e)/d)/d)/d)+1/48*f^2*(-6*cos(6*f*x+6*e)/((f*x+e)*d+c*f-d*e)/d-6*(6*Si(6*f*x+6*e+6*(c*f-d*e)/d)*cos(6*(c*f-d*e)/d)/d-6*Ci(6*f*x+6*e+6*(c*f-d*e)/d)*sin(6*(c*f-d*e)/d)/d)/d)+3/32*f^2*(-4*cos(4*f*x+4*e)/((f*x+e)*d+c*f-d*e)/d-4*(4*Si(4*f*x+4*e+4*(c*f-d*e)/d)*cos(4*(c*f-d*e)/d)/d-4*Ci(4*f*x+4*e+4*(c*f-d*e)/d)*sin(4*(c*f-d*e)/d)/d)/d)+3/16*f^2*(-2*cos(2*f*x+2*e)/((f*x+e)*d+c*f-d*e)/d-2*(2*Si(2*f*x+2*e+2*(c*f-d*e)/d)*cos(2*(c*f-d*e)/d)/d-2*Ci(2*f*x+2*e+2*(c*f-d*e)/d)*sin(2*(c*f-d*e)/d)/d)/d)-1/8*f^2/((f*x+e)*d+c*f-d*e)/d)","A"
34,0,0,24,0.404000," ","int((d*x+c)^m*(a+I*a*tan(f*x+e))^2,x)","\int \left(d x +c \right)^{m} \left(a +i a \tan \left(f x +e \right)\right)^{2}\, dx"," ",0,"int((d*x+c)^m*(a+I*a*tan(f*x+e))^2,x)","F"
35,0,0,22,0.560000," ","int((d*x+c)^m*(a+I*a*tan(f*x+e)),x)","\int \left(d x +c \right)^{m} \left(a +i a \tan \left(f x +e \right)\right)\, dx"," ",0,"int((d*x+c)^m*(a+I*a*tan(f*x+e)),x)","F"
36,0,0,93,0.831000," ","int((d*x+c)^m/(a+I*a*tan(f*x+e)),x)","\int \frac{\left(d x +c \right)^{m}}{a +i a \tan \left(f x +e \right)}\, dx"," ",0,"int((d*x+c)^m/(a+I*a*tan(f*x+e)),x)","F"
37,0,0,163,0.914000," ","int((d*x+c)^m/(a+I*a*tan(f*x+e))^2,x)","\int \frac{\left(d x +c \right)^{m}}{\left(a +i a \tan \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int((d*x+c)^m/(a+I*a*tan(f*x+e))^2,x)","F"
38,0,0,240,1.030000," ","int((d*x+c)^m/(a+I*a*tan(f*x+e))^3,x)","\int \frac{\left(d x +c \right)^{m}}{\left(a +i a \tan \left(f x +e \right)\right)^{3}}\, dx"," ",0,"int((d*x+c)^m/(a+I*a*tan(f*x+e))^3,x)","F"
39,1,481,131,0.519000," ","int((d*x+c)^3*(a+b*tan(f*x+e)),x)","\frac{3 a \,c^{2} d \,x^{2}}{2}+a c \,d^{2} x^{3}-i b \,c^{3} x +\frac{i b \,d^{3} x^{4}}{4}+\frac{2 b \,c^{3} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}-\frac{b \,c^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}+\frac{6 i b \,c^{2} d e x}{f}+\frac{3 i b c \,d^{2} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x}{f^{2}}-\frac{6 i b c \,d^{2} e^{2} x}{f^{2}}+a \,c^{3} x +\frac{a \,d^{3} x^{4}}{4}-\frac{3 b c \,d^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x^{2}}{f}-\frac{3 b \,c^{2} d \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x}{f}-\frac{6 b \,c^{2} d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{6 b c \,d^{2} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}+\frac{3 i b \,c^{2} d \,e^{2}}{f^{2}}-\frac{4 i b c \,d^{2} e^{3}}{f^{3}}+\frac{2 i b \,d^{3} e^{3} x}{f^{3}}+\frac{3 i b \,d^{3} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x^{2}}{2 f^{2}}+\frac{3 i b \,c^{2} d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{2}}-\frac{2 b \,d^{3} e^{3} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{4}}-\frac{b \,d^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x^{3}}{f}+\frac{3 i b \,c^{2} d \,x^{2}}{2}+\frac{3 i b \,e^{4} d^{3}}{2 f^{4}}-\frac{3 b c \,d^{2} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{3}}-\frac{3 b \,d^{3} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x}{2 f^{3}}-\frac{3 i b \,d^{3} \polylog \left(4, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{4 f^{4}}+i b c \,d^{2} x^{3}"," ",0,"-I*b*c^3*x+3/2*a*c^2*d*x^2+I*b*c*d^2*x^3+a*c*d^2*x^3+1/4*I*b*d^3*x^4+2/f*b*c^3*ln(exp(I*(f*x+e)))-1/f*b*c^3*ln(exp(2*I*(f*x+e))+1)+6*I/f*b*c^2*d*e*x+3*I/f^2*b*c*d^2*polylog(2,-exp(2*I*(f*x+e)))*x-6*I/f^2*b*c*d^2*e^2*x+a*c^3*x+1/4*a*d^3*x^4-3/2/f^3*b*c*d^2*polylog(3,-exp(2*I*(f*x+e)))-2/f^4*b*d^3*e^3*ln(exp(I*(f*x+e)))-3/f*b*c*d^2*ln(exp(2*I*(f*x+e))+1)*x^2-3/f*b*c^2*d*ln(exp(2*I*(f*x+e))+1)*x-1/f*b*d^3*ln(exp(2*I*(f*x+e))+1)*x^3-6/f^2*b*c^2*d*e*ln(exp(I*(f*x+e)))+6/f^3*b*c*d^2*e^2*ln(exp(I*(f*x+e)))+3*I/f^2*b*c^2*d*e^2-4*I/f^3*b*c*d^2*e^3+2*I/f^3*b*d^3*e^3*x+3/2*I/f^2*b*d^3*polylog(2,-exp(2*I*(f*x+e)))*x^2+3/2*I/f^2*b*c^2*d*polylog(2,-exp(2*I*(f*x+e)))+3/2*I*b*c^2*d*x^2+3/2*I/f^4*b*e^4*d^3-3/2/f^3*b*d^3*polylog(3,-exp(2*I*(f*x+e)))*x-3/4*I*b*d^3*polylog(4,-exp(2*I*(f*x+e)))/f^4","B"
40,1,295,101,0.434000," ","int((d*x+c)^2*(a+b*tan(f*x+e)),x)","\frac{i b c d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{2}}+\frac{i b \,d^{2} x^{3}}{3}+\frac{a \,d^{2} x^{3}}{3}+i b c d \,x^{2}+a c d \,x^{2}+a \,c^{2} x -\frac{b \,c^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}+\frac{2 b \,c^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}+\frac{2 b \,d^{2} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}-\frac{2 i b \,d^{2} e^{2} x}{f^{2}}+\frac{2 i b c d \,e^{2}}{f^{2}}-\frac{4 i b \,d^{2} e^{3}}{3 f^{3}}-\frac{b \,d^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x^{2}}{f}+\frac{i b \,d^{2} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x}{f^{2}}-\frac{b \,d^{2} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{3}}-\frac{4 b c d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}-i b \,c^{2} x +\frac{4 i b c d e x}{f}-\frac{2 b c d \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x}{f}"," ",0,"1/3*I*b*d^2*x^3+I/f^2*b*c*d*polylog(2,-exp(2*I*(f*x+e)))+1/3*a*d^2*x^3+I/f^2*b*d^2*polylog(2,-exp(2*I*(f*x+e)))*x+a*c*d*x^2+a*c^2*x-1/f*b*c^2*ln(exp(2*I*(f*x+e))+1)+2/f*b*c^2*ln(exp(I*(f*x+e)))+2/f^3*b*d^2*e^2*ln(exp(I*(f*x+e)))+I*b*c*d*x^2-2*I/f^2*b*d^2*e^2*x+2*I/f^2*b*c*d*e^2-1/f*b*d^2*ln(exp(2*I*(f*x+e))+1)*x^2-4/3*I/f^3*b*d^2*e^3-1/2*b*d^2*polylog(3,-exp(2*I*(f*x+e)))/f^3-4/f^2*b*c*d*e*ln(exp(I*(f*x+e)))-I*b*c^2*x+4*I/f*b*c*d*e*x-2/f*b*c*d*ln(exp(2*I*(f*x+e))+1)*x","B"
41,1,143,72,0.393000," ","int((d*x+c)*(a+b*tan(f*x+e)),x)","\frac{i b d \,x^{2}}{2}-i b c x +\frac{a d \,x^{2}}{2}+c a x -\frac{b c \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}+\frac{2 b c \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}+\frac{2 i b d e x}{f}+\frac{i b d \,e^{2}}{f^{2}}-\frac{b d \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x}{f}+\frac{i b d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{2}}-\frac{2 b d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}"," ",0,"1/2*I*b*d*x^2-I*b*c*x+1/2*a*d*x^2+c*a*x-1/f*b*c*ln(exp(2*I*(f*x+e))+1)+2/f*b*c*ln(exp(I*(f*x+e)))+2*I/f*b*d*e*x+I/f^2*b*d*e^2-1/f*b*d*ln(exp(2*I*(f*x+e))+1)*x+1/2*I*b*d*polylog(2,-exp(2*I*(f*x+e)))/f^2-2/f^2*b*d*e*ln(exp(I*(f*x+e)))","A"
42,0,0,20,0.757000," ","int((a+b*tan(f*x+e))/(d*x+c),x)","\int \frac{a +b \tan \left(f x +e \right)}{d x +c}\, dx"," ",0,"int((a+b*tan(f*x+e))/(d*x+c),x)","F"
43,0,0,20,0.779000," ","int((a+b*tan(f*x+e))/(d*x+c)^2,x)","\int \frac{a +b \tan \left(f x +e \right)}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((a+b*tan(f*x+e))/(d*x+c)^2,x)","F"
44,1,919,271,0.818000," ","int((d*x+c)^3*(a+b*tan(f*x+e))^2,x)","\frac{6 b^{2} c \,d^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x}{f^{2}}+\frac{12 b^{2} c \,d^{2} e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}-\frac{4 b a \,d^{3} e^{3} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{4}}-\frac{3 b a \,d^{3} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x}{f^{3}}-\frac{3 b a c \,d^{2} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{3}}-\frac{3 i b^{2} c \,d^{2} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{3}}-\frac{3 i b^{2} d^{3} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x}{f^{3}}-\frac{3 i a b \,d^{3} \polylog \left(4, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{4}}+a^{2} c^{3} x -b^{2} c^{3} x +\frac{12 i b a \,c^{2} d e x}{f}+\frac{6 i b a c \,d^{2} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x}{f^{2}}-\frac{12 i b a c \,d^{2} e^{2} x}{f^{2}}+a^{2} c \,d^{2} x^{3}+\frac{3 b^{2} d^{3} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{4}}-b^{2} c \,d^{2} x^{3}+\frac{3 a^{2} c^{2} d \,x^{2}}{2}-\frac{3 b^{2} c^{2} d \,x^{2}}{2}+\frac{3 i b a \,c^{2} d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{2}}-\frac{2 b a \,d^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x^{3}}{f}+\frac{3 i b a \,d^{3} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x^{2}}{f^{2}}-\frac{12 b a \,c^{2} d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{12 b a c \,d^{2} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}-\frac{12 i b^{2} c \,d^{2} e x}{f^{2}}+\frac{4 i b a \,d^{3} e^{3} x}{f^{3}}-\frac{8 i b a c \,d^{2} e^{3}}{f^{3}}+\frac{6 i b a \,c^{2} d \,e^{2}}{f^{2}}-\frac{6 b a c \,d^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x^{2}}{f}-\frac{6 b \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) a \,c^{2} d x}{f}+\frac{2 i b^{2} \left(d^{3} x^{3}+3 c \,d^{2} x^{2}+3 c^{2} d x +c^{3}\right)}{f \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}-2 i a b \,c^{3} x +\frac{i a b \,d^{3} x^{4}}{2}+\frac{3 b^{2} d^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x^{2}}{f^{2}}+\frac{4 b a \,c^{3} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}-\frac{6 b^{2} c^{2} d \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{3 b^{2} c^{2} d \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f^{2}}-\frac{2 b a \,c^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}-\frac{6 b^{2} d^{3} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{4}}-\frac{2 i b^{2} d^{3} x^{3}}{f}+\frac{4 i b^{2} d^{3} e^{3}}{f^{4}}+\frac{a^{2} d^{3} x^{4}}{4}-\frac{b^{2} d^{3} x^{4}}{4}+\frac{3 i b a \,d^{3} e^{4}}{f^{4}}-\frac{6 i b^{2} c \,d^{2} x^{2}}{f}-\frac{6 i b^{2} c \,d^{2} e^{2}}{f^{3}}+\frac{6 i b^{2} d^{3} e^{2} x}{f^{3}}+3 i a b \,c^{2} d \,x^{2}+2 i a b c \,d^{2} x^{3}"," ",0,"a^2*c^3*x-b^2*c^3*x+a^2*c*d^2*x^3+12*I/f*b*a*c^2*d*e*x+6*I/f^2*b*a*c*d^2*polylog(2,-exp(2*I*(f*x+e)))*x-12*I/f^2*b*a*c*d^2*e^2*x+2*I*b^2*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)/f/(exp(2*I*(f*x+e))+1)-b^2*c*d^2*x^3+3/2*a^2*c^2*d*x^2-3/2*b^2*c^2*d*x^2-12/f^2*b*a*c^2*d*e*ln(exp(I*(f*x+e)))+12/f^3*b*a*c*d^2*e^2*ln(exp(I*(f*x+e)))-12*I/f^2*b^2*c*d^2*e*x+4*I/f^3*b*a*d^3*e^3*x-8*I/f^3*b*a*c*d^2*e^3+3*I/f^2*b*a*c^2*d*polylog(2,-exp(2*I*(f*x+e)))+3*I/f^2*b*a*d^3*polylog(2,-exp(2*I*(f*x+e)))*x^2+6*I/f^2*b*a*c^2*d*e^2-6/f*b*a*c*d^2*ln(exp(2*I*(f*x+e))+1)*x^2-6/f*b*ln(exp(2*I*(f*x+e))+1)*a*c^2*d*x-2/f*b*a*d^3*ln(exp(2*I*(f*x+e))+1)*x^3-2*I*a*b*c^3*x+1/2*I*a*b*d^3*x^4+1/4*a^2*d^3*x^4-1/4*b^2*d^3*x^4-3/f^3*b*a*d^3*polylog(3,-exp(2*I*(f*x+e)))*x+6/f^2*b^2*c*d^2*ln(exp(2*I*(f*x+e))+1)*x+12/f^3*b^2*c*d^2*e*ln(exp(I*(f*x+e)))-4/f^4*b*a*d^3*e^3*ln(exp(I*(f*x+e)))-3/f^3*b*a*c*d^2*polylog(3,-exp(2*I*(f*x+e)))+3/f^2*b^2*d^3*ln(exp(2*I*(f*x+e))+1)*x^2+4/f*b*a*c^3*ln(exp(I*(f*x+e)))-6/f^2*b^2*c^2*d*ln(exp(I*(f*x+e)))+3/f^2*b^2*c^2*d*ln(exp(2*I*(f*x+e))+1)-2/f*b*a*c^3*ln(exp(2*I*(f*x+e))+1)-6/f^4*b^2*d^3*e^2*ln(exp(I*(f*x+e)))-2*I/f*b^2*d^3*x^3+4*I/f^4*b^2*d^3*e^3-3*I/f^3*b^2*c*d^2*polylog(2,-exp(2*I*(f*x+e)))-3*I/f^3*b^2*d^3*polylog(2,-exp(2*I*(f*x+e)))*x+3*I/f^4*b*a*d^3*e^4-6*I/f*b^2*c*d^2*x^2-6*I/f^3*b^2*c*d^2*e^2+6*I/f^3*b^2*d^3*e^2*x+3/2*b^2*d^3*polylog(3,-exp(2*I*(f*x+e)))/f^4+3*I*a*b*c^2*d*x^2+2*I*a*b*c*d^2*x^3-3/2*I*a*b*d^3*polylog(4,-exp(2*I*(f*x+e)))/f^4","B"
45,1,542,209,0.678000," ","int((d*x+c)^2*(a+b*tan(f*x+e))^2,x)","-\frac{i b^{2} d^{2} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{3}}-\frac{a b \,d^{2} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{3}}-b^{2} c d \,x^{2}+a^{2} c d \,x^{2}+\frac{8 i b a c d e x}{f}+\frac{4 b a \,c^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}+\frac{2 b^{2} c d \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f^{2}}-\frac{4 b^{2} c d \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{2 b^{2} d^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x}{f^{2}}+\frac{2 i a b \,d^{2} x^{3}}{3}+\frac{4 b^{2} d^{2} e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}-\frac{4 i b a \,d^{2} e^{2} x}{f^{2}}+\frac{2 i b a c d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{2}}+\frac{2 i b a \,d^{2} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x}{f^{2}}-2 i a b \,c^{2} x +\frac{2 i b^{2} \left(d^{2} x^{2}+2 c d x +c^{2}\right)}{f \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}-\frac{2 i b^{2} d^{2} x^{2}}{f}-\frac{2 i b^{2} d^{2} e^{2}}{f^{3}}-\frac{2 b a \,c^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}-\frac{8 b a c d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}-\frac{4 b \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) a c d x}{f}+\frac{4 i b a c d \,e^{2}}{f^{2}}-b^{2} c^{2} x +\frac{a^{2} d^{2} x^{3}}{3}-\frac{b^{2} d^{2} x^{3}}{3}+a^{2} c^{2} x +\frac{4 b a \,d^{2} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}-\frac{2 b a \,d^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x^{2}}{f}+2 i a b c d \,x^{2}-\frac{4 i b^{2} d^{2} e x}{f^{2}}-\frac{8 i b a \,d^{2} e^{3}}{3 f^{3}}"," ",0,"-2*I*a*b*c^2*x+2*I*b^2*(d^2*x^2+2*c*d*x+c^2)/f/(exp(2*I*(f*x+e))+1)-b^2*c*d*x^2+4/f^3*b*a*d^2*e^2*ln(exp(I*(f*x+e)))+a^2*c*d*x^2+8*I/f*b*a*c*d*e*x-8/f^2*b*a*c*d*e*ln(exp(I*(f*x+e)))-4/f*b*ln(exp(2*I*(f*x+e))+1)*a*c*d*x+2*I/f^2*b*a*c*d*polylog(2,-exp(2*I*(f*x+e)))+4*I/f^2*b*a*c*d*e^2-4*I/f^2*b*a*d^2*e^2*x+2*I/f^2*b*a*d^2*polylog(2,-exp(2*I*(f*x+e)))*x-2*I/f*b^2*d^2*x^2-2*I/f^3*b^2*d^2*e^2-2/f*b*a*c^2*ln(exp(2*I*(f*x+e))+1)+4/f*b*a*c^2*ln(exp(I*(f*x+e)))+2/f^2*b^2*c*d*ln(exp(2*I*(f*x+e))+1)-4/f^2*b^2*c*d*ln(exp(I*(f*x+e)))+2/f^2*b^2*d^2*ln(exp(2*I*(f*x+e))+1)*x+2/3*I*a*b*d^2*x^3-I*b^2*d^2*polylog(2,-exp(2*I*(f*x+e)))/f^3+4/f^3*b^2*d^2*e*ln(exp(I*(f*x+e)))-2/f*b*a*d^2*ln(exp(2*I*(f*x+e))+1)*x^2-b^2*c^2*x+1/3*a^2*d^2*x^3-1/3*b^2*d^2*x^3+a^2*c^2*x+2*I*a*b*c*d*x^2-4*I/f^2*b^2*d^2*e*x-8/3*I/f^3*b*a*d^2*e^3-a*b*d^2*polylog(3,-exp(2*I*(f*x+e)))/f^3","B"
46,1,238,126,0.638000," ","int((d*x+c)*(a+b*tan(f*x+e))^2,x)","-2 i a b c x +\frac{2 i b a d \,e^{2}}{f^{2}}+\frac{a^{2} d \,x^{2}}{2}-\frac{b^{2} d \,x^{2}}{2}+a^{2} c x -b^{2} c x +i a b d \,x^{2}-\frac{2 b^{2} d \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{b^{2} d \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f^{2}}-\frac{2 b a c \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}+\frac{4 b a c \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}-\frac{4 b a d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{2 i b^{2} \left(d x +c \right)}{f \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}+\frac{i a b d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{2}}+\frac{4 i b a d e x}{f}-\frac{2 b \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) a d x}{f}"," ",0,"-2*I*a*b*c*x+2*I/f^2*b*a*d*e^2+1/2*a^2*d*x^2-1/2*b^2*d*x^2+a^2*c*x-b^2*c*x+2*I*b^2*(d*x+c)/f/(exp(2*I*(f*x+e))+1)-2/f^2*b^2*d*ln(exp(I*(f*x+e)))+1/f^2*b^2*d*ln(exp(2*I*(f*x+e))+1)-2/f*b*a*c*ln(exp(2*I*(f*x+e))+1)+4/f*b*a*c*ln(exp(I*(f*x+e)))-4/f^2*b*a*d*e*ln(exp(I*(f*x+e)))+I*a*b*d*x^2+4*I/f*b*a*d*e*x+I*a*b*d*polylog(2,-exp(2*I*(f*x+e)))/f^2-2/f*b*ln(exp(2*I*(f*x+e))+1)*a*d*x","A"
47,0,0,22,2.697000," ","int((a+b*tan(f*x+e))^2/(d*x+c),x)","\int \frac{\left(a +b \tan \left(f x +e \right)\right)^{2}}{d x +c}\, dx"," ",0,"int((a+b*tan(f*x+e))^2/(d*x+c),x)","F"
48,0,0,22,3.307000," ","int((a+b*tan(f*x+e))^2/(d*x+c)^2,x)","\int \frac{\left(a +b \tan \left(f x +e \right)\right)^{2}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((a+b*tan(f*x+e))^2/(d*x+c)^2,x)","F"
49,1,1882,544,1.007000," ","int((d*x+c)^3*(a+b*tan(f*x+e))^3,x)","\frac{9 i b \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) a^{2} c \,d^{2} x}{f^{2}}-\frac{18 i b \,a^{2} c \,d^{2} e^{2} x}{f^{2}}+\frac{18 i b \,a^{2} c^{2} d e x}{f}-\frac{36 i b^{2} a c \,d^{2} e x}{f^{2}}+a^{3} c \,d^{2} x^{3}+\frac{b^{2} \left(-6 i b c \,d^{2} x +6 i a \,d^{3} f \,x^{3} {\mathrm e}^{2 i \left(f x +e \right)}+2 b \,d^{3} f \,x^{3} {\mathrm e}^{2 i \left(f x +e \right)}-3 i b \,c^{2} d +18 i a \,c^{2} d f x \,{\mathrm e}^{2 i \left(f x +e \right)}+6 i a \,c^{3} f \,{\mathrm e}^{2 i \left(f x +e \right)}+6 b c \,d^{2} f \,x^{2} {\mathrm e}^{2 i \left(f x +e \right)}-3 i b \,c^{2} d \,{\mathrm e}^{2 i \left(f x +e \right)}+6 i a \,d^{3} f \,x^{3}+18 i a \,c^{2} d f x +6 b \,c^{2} d f x \,{\mathrm e}^{2 i \left(f x +e \right)}-3 i b \,d^{3} x^{2} {\mathrm e}^{2 i \left(f x +e \right)}+18 i a c \,d^{2} f \,x^{2} {\mathrm e}^{2 i \left(f x +e \right)}-3 i d^{3} x^{2} b +2 b \,c^{3} f \,{\mathrm e}^{2 i \left(f x +e \right)}+6 i a \,c^{3} f -6 i b c \,d^{2} x \,{\mathrm e}^{2 i \left(f x +e \right)}+18 i a c \,d^{2} f \,x^{2}\right)}{f^{2} \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)^{2}}+\frac{b^{3} c^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}-\frac{2 b^{3} c^{3} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}-\frac{i b^{3} d^{3} x^{4}}{4}+i b^{3} c^{3} x -\frac{9 i b^{2} a \,d^{3} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x}{f^{3}}-\frac{9 i b^{2} a c \,d^{2} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{3}}+\frac{9 i b \,a^{2} c^{2} d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{2}}-\frac{3 i b^{3} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) c \,d^{2} x}{f^{2}}+\frac{9 i b \,a^{2} d^{3} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x^{2}}{2 f^{2}}-\frac{18 b \,a^{2} c^{2} d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{36 b^{2} a c \,d^{2} e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}-\frac{18 i b^{2} a c \,d^{2} x^{2}}{f}-\frac{3 a \,b^{2} d^{3} x^{4}}{4}+\frac{3 a^{3} c^{2} d \,x^{2}}{2}-3 b^{2} a \,c^{3} x -\frac{9 b \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) a^{2} c^{2} d x}{f}+\frac{18 b^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) a c \,d^{2} x}{f^{2}}-\frac{9 b \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) a^{2} c \,d^{2} x^{2}}{f}+\frac{18 b \,a^{2} c \,d^{2} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}+\frac{6 i b^{3} c \,d^{2} e^{2} x}{f^{2}}-\frac{6 i b^{3} c^{2} d e x}{f}+\frac{18 i b^{2} a \,d^{3} e^{2} x}{f^{3}}-\frac{18 i b^{2} a c \,d^{2} e^{2}}{f^{3}}+\frac{3 i b^{3} d^{3} x^{2}}{f^{2}}-\frac{3 i b^{3} d^{3} e^{4}}{2 f^{4}}+\frac{3 i b^{3} d^{3} e^{2}}{f^{4}}-\frac{3 b^{3} d^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x}{f^{3}}+\frac{2 b^{3} d^{3} e^{3} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{4}}-\frac{6 b^{3} d^{3} e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{4}}+\frac{6 b \,a^{2} c^{3} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}+\frac{3 i b^{3} d^{3} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{4}}+\frac{3 i b^{3} d^{3} \polylog \left(4, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{4 f^{4}}+\frac{9 a \,b^{2} d^{3} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{4}}+\frac{3 b^{3} c \,d^{2} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{3}}+\frac{3 b^{3} d^{3} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x}{2 f^{3}}-3 i a^{2} b \,c^{3} x +\frac{b^{3} d^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x^{3}}{f}-\frac{3 i b^{3} c^{2} d \,x^{2}}{2}-i b^{3} c \,d^{2} x^{3}+\frac{3 i a^{2} b \,d^{3} x^{4}}{4}-\frac{3 b \,a^{2} c^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}+\frac{6 b^{3} c \,d^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}-\frac{3 b^{3} c \,d^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f^{3}}+\frac{9 i b \,a^{2} c^{2} d \,e^{2}}{f^{2}}+\frac{6 i b \,a^{2} d^{3} e^{3} x}{f^{3}}-\frac{12 i b \,a^{2} c \,d^{2} e^{3}}{f^{3}}+\frac{a^{3} d^{3} x^{4}}{4}+a^{3} c^{3} x -3 a \,b^{2} c \,d^{2} x^{3}-\frac{9 a \,b^{2} c^{2} d \,x^{2}}{2}+\frac{9 b^{2} a \,c^{2} d \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f^{2}}+\frac{6 b^{3} c^{2} d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{12 i b^{2} a \,d^{3} e^{3}}{f^{4}}-\frac{3 i b^{3} c^{2} d \,e^{2}}{f^{2}}-\frac{6 i b^{2} d^{3} a \,x^{3}}{f}-\frac{2 i b^{3} d^{3} e^{3} x}{f^{3}}+\frac{6 i b^{3} d^{3} e x}{f^{3}}+\frac{9 i b \,a^{2} d^{3} e^{4}}{2 f^{4}}+\frac{4 i b^{3} c \,d^{2} e^{3}}{f^{3}}-\frac{3 b \,a^{2} d^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x^{3}}{f}-\frac{9 b \,a^{2} c \,d^{2} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{3}}-\frac{9 b \,a^{2} d^{3} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x}{2 f^{3}}-\frac{3 i b^{3} c^{2} d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{2}}-\frac{3 i b^{3} d^{3} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) x^{2}}{2 f^{2}}-\frac{9 i a^{2} b \,d^{3} \polylog \left(4, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{4 f^{4}}+3 i a^{2} b c \,d^{2} x^{3}+\frac{9 i a^{2} b \,c^{2} d \,x^{2}}{2}-\frac{6 b^{3} c \,d^{2} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}-\frac{6 b \,a^{2} d^{3} e^{3} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{4}}-\frac{18 b^{2} a \,d^{3} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{4}}-\frac{18 b^{2} a \,c^{2} d \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{9 b^{2} a \,d^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) x^{2}}{f^{2}}+\frac{3 b^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) c \,d^{2} x^{2}}{f}+\frac{3 b^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) c^{2} d x}{f}"," ",0,"-18*I/f^2*b*a^2*c*d^2*e^2*x+18*I/f*b*a^2*c^2*d*e*x-36*I/f^2*b^2*a*c*d^2*e*x+9*I/f^2*b*polylog(2,-exp(2*I*(f*x+e)))*a^2*c*d^2*x+b^2*(-6*I*b*c*d^2*x+6*I*a*d^3*f*x^3*exp(2*I*(f*x+e))+2*b*d^3*f*x^3*exp(2*I*(f*x+e))-3*I*b*c^2*d+18*I*a*c^2*d*f*x*exp(2*I*(f*x+e))+6*I*a*c^3*f*exp(2*I*(f*x+e))+6*b*c*d^2*f*x^2*exp(2*I*(f*x+e))-3*I*b*c^2*d*exp(2*I*(f*x+e))+6*I*a*d^3*f*x^3+18*I*a*c^2*d*f*x+6*b*c^2*d*f*x*exp(2*I*(f*x+e))-3*I*b*d^3*x^2*exp(2*I*(f*x+e))+18*I*a*c*d^2*f*x^2*exp(2*I*(f*x+e))-3*I*d^3*x^2*b+2*b*c^3*f*exp(2*I*(f*x+e))+6*I*a*c^3*f-6*I*b*c*d^2*x*exp(2*I*(f*x+e))+18*I*a*c*d^2*f*x^2)/f^2/(exp(2*I*(f*x+e))+1)^2+a^3*c*d^2*x^3+1/f*b^3*c^3*ln(exp(2*I*(f*x+e))+1)-2/f*b^3*c^3*ln(exp(I*(f*x+e)))-1/4*I*b^3*d^3*x^4+3/2*I*b^3*d^3*polylog(2,-exp(2*I*(f*x+e)))/f^4+3/4*I*b^3*d^3*polylog(4,-exp(2*I*(f*x+e)))/f^4-3/4*a*b^2*d^3*x^4+3/2*a^3*c^2*d*x^2-3*b^2*a*c^3*x+I*b^3*c^3*x-9/2/f^3*b*a^2*c*d^2*polylog(3,-exp(2*I*(f*x+e)))+1/f*b^3*d^3*ln(exp(2*I*(f*x+e))+1)*x^3-6/f^3*b^3*c*d^2*e^2*ln(exp(I*(f*x+e)))-6/f^4*b*a^2*d^3*e^3*ln(exp(I*(f*x+e)))-18/f^4*b^2*a*d^3*e^2*ln(exp(I*(f*x+e)))-18/f^2*b^2*a*c^2*d*ln(exp(I*(f*x+e)))+9/f^2*b^2*a*d^3*ln(exp(2*I*(f*x+e))+1)*x^2-3/2*I*b^3*c^2*d*x^2-I*b^3*c*d^2*x^3+3/4*I*a^2*b*d^3*x^4-9/f*b*ln(exp(2*I*(f*x+e))+1)*a^2*c^2*d*x+18/f^2*b^2*ln(exp(2*I*(f*x+e))+1)*a*c*d^2*x-9/f*b*ln(exp(2*I*(f*x+e))+1)*a^2*c*d^2*x^2+9/2*a*b^2*d^3*polylog(3,-exp(2*I*(f*x+e)))/f^4-18/f^2*b*a^2*c^2*d*e*ln(exp(I*(f*x+e)))+36/f^3*b^2*a*c*d^2*e*ln(exp(I*(f*x+e)))-18*I/f*b^2*a*c*d^2*x^2-3/f*b*a^2*c^3*ln(exp(2*I*(f*x+e))+1)+6/f^3*b^3*c*d^2*ln(exp(I*(f*x+e)))-3/f^3*b^3*c*d^2*ln(exp(2*I*(f*x+e))+1)+3/2/f^3*b^3*c*d^2*polylog(3,-exp(2*I*(f*x+e)))+3*I/f^2*b^3*d^3*x^2-3/2*I/f^4*b^3*d^3*e^4+3*I/f^4*b^3*d^3*e^2+3/2/f^3*b^3*d^3*polylog(3,-exp(2*I*(f*x+e)))*x-3/f^3*b^3*d^3*ln(exp(2*I*(f*x+e))+1)*x+2/f^4*b^3*d^3*e^3*ln(exp(I*(f*x+e)))-6/f^4*b^3*d^3*e*ln(exp(I*(f*x+e)))+6/f*b*a^2*c^3*ln(exp(I*(f*x+e)))+3/f*b^3*ln(exp(2*I*(f*x+e))+1)*c*d^2*x^2+3/f*b^3*ln(exp(2*I*(f*x+e))+1)*c^2*d*x-9/2/f^3*b*a^2*d^3*polylog(3,-exp(2*I*(f*x+e)))*x+9/f^2*b^2*a*c^2*d*ln(exp(2*I*(f*x+e))+1)+6/f^2*b^3*c^2*d*e*ln(exp(I*(f*x+e)))-3/2*I/f^2*b^3*c^2*d*polylog(2,-exp(2*I*(f*x+e)))-3/2*I/f^2*b^3*d^3*polylog(2,-exp(2*I*(f*x+e)))*x^2+12*I/f^4*b^2*a*d^3*e^3-3*I/f^2*b^3*c^2*d*e^2-6*I/f*b^2*d^3*a*x^3-2*I/f^3*b^3*d^3*e^3*x+6*I/f^3*b^3*d^3*e*x+9/2*I/f^4*b*a^2*d^3*e^4+4*I/f^3*b^3*c*d^2*e^3-3/f*b*a^2*d^3*ln(exp(2*I*(f*x+e))+1)*x^3+18/f^3*b*a^2*c*d^2*e^2*ln(exp(I*(f*x+e)))+6*I/f^2*b^3*c*d^2*e^2*x-9*I/f^3*b^2*a*d^3*polylog(2,-exp(2*I*(f*x+e)))*x-9*I/f^3*b^2*a*c*d^2*polylog(2,-exp(2*I*(f*x+e)))+9/2*I/f^2*b*a^2*c^2*d*polylog(2,-exp(2*I*(f*x+e)))-3*I/f^2*b^3*polylog(2,-exp(2*I*(f*x+e)))*c*d^2*x+9/2*I/f^2*b*a^2*d^3*polylog(2,-exp(2*I*(f*x+e)))*x^2-6*I/f*b^3*c^2*d*e*x+18*I/f^3*b^2*a*d^3*e^2*x-18*I/f^3*b^2*a*c*d^2*e^2+9*I/f^2*b*a^2*c^2*d*e^2+6*I/f^3*b*a^2*d^3*e^3*x-12*I/f^3*b*a^2*c*d^2*e^3+1/4*a^3*d^3*x^4+a^3*c^3*x-3*a*b^2*c*d^2*x^3-9/2*a*b^2*c^2*d*x^2-3*I*a^2*b*c^3*x+3*I*a^2*b*c*d^2*x^3+9/2*I*a^2*b*c^2*d*x^2-9/4*I*a^2*b*d^3*polylog(4,-exp(2*I*(f*x+e)))/f^4","B"
50,1,1090,402,0.842000," ","int((d*x+c)^2*(a+b*tan(f*x+e))^3,x)","i a^{2} b \,d^{2} x^{3}-\frac{2 b^{3} d^{2} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}+\frac{6 b \,a^{2} c^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}-3 i a^{2} b \,c^{2} x -\frac{3 b \,a^{2} c^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}+\frac{b^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) d^{2} x^{2}}{f}+\frac{4 i b^{3} d^{2} e^{3}}{3 f^{3}}-\frac{3 a^{2} b \,d^{2} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{3}}-3 a \,b^{2} c d \,x^{2}-\frac{3 i a \,b^{2} d^{2} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{3}}-\frac{i b^{3} c d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{2}}-\frac{i b^{3} \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) d^{2} x}{f^{2}}-\frac{i b^{3} d^{2} x^{3}}{3}+\frac{b^{3} d^{2} \polylog \left(3, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{3}}-\frac{2 b^{3} c^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}+\frac{b^{3} c^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}+\frac{2 b^{3} d^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}-\frac{b^{3} d^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f^{3}}+i b^{3} c^{2} x -\frac{12 b \,a^{2} c d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}-\frac{6 b \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) a^{2} c d x}{f}-\frac{12 i b^{2} a \,d^{2} e x}{f^{2}}-\frac{4 i b^{3} c d e x}{f}+\frac{12 i b \,a^{2} c d e x}{f}+a^{3} c d \,x^{2}+\frac{2 b^{2} \left(3 i a \,d^{2} f \,x^{2} {\mathrm e}^{2 i \left(f x +e \right)}+6 i a c d f x \,{\mathrm e}^{2 i \left(f x +e \right)}+b \,d^{2} f \,x^{2} {\mathrm e}^{2 i \left(f x +e \right)}+3 i a \,c^{2} f \,{\mathrm e}^{2 i \left(f x +e \right)}+3 i a \,d^{2} f \,x^{2}-i b \,d^{2} x \,{\mathrm e}^{2 i \left(f x +e \right)}+2 b c d f x \,{\mathrm e}^{2 i \left(f x +e \right)}+6 i a c d f x -i b c d \,{\mathrm e}^{2 i \left(f x +e \right)}+b \,c^{2} f \,{\mathrm e}^{2 i \left(f x +e \right)}+3 i a \,c^{2} f -i d^{2} x b -i b c d \right)}{f^{2} \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)^{2}}-\frac{6 i b^{2} a \,d^{2} x^{2}}{f}-\frac{2 i b^{3} c d \,e^{2}}{f^{2}}+\frac{6 b \,a^{2} d^{2} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}-\frac{4 i b \,a^{2} d^{2} e^{3}}{f^{3}}-\frac{6 i b^{2} a \,d^{2} e^{2}}{f^{3}}+\frac{2 i b^{3} d^{2} e^{2} x}{f^{2}}+\frac{12 b^{2} a \,d^{2} e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3}}+3 i a^{2} b c d \,x^{2}+\frac{4 b^{3} c d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}-\frac{12 b^{2} a c d \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{6 b^{2} a c d \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f^{2}}+\frac{6 b^{2} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) a \,d^{2} x}{f^{2}}+\frac{2 b^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) c d x}{f}-\frac{3 b \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) a^{2} d^{2} x^{2}}{f}+\frac{6 i b \,a^{2} c d \,e^{2}}{f^{2}}-\frac{6 i b \,a^{2} d^{2} e^{2} x}{f^{2}}+\frac{3 i b \,a^{2} c d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{f^{2}}+\frac{3 i b \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right) a^{2} d^{2} x}{f^{2}}-a \,b^{2} d^{2} x^{3}-3 b^{2} a \,c^{2} x +\frac{a^{3} d^{2} x^{3}}{3}+a^{3} c^{2} x -i b^{3} c d \,x^{2}"," ",0,"-3*a*b^2*c*d*x^2-1/3*I*b^3*d^2*x^3-12/f^2*b*a^2*c*d*e*ln(exp(I*(f*x+e)))-6/f*b*ln(exp(2*I*(f*x+e))+1)*a^2*c*d*x+3*I/f^2*b*a^2*c*d*polylog(2,-exp(2*I*(f*x+e)))-12*I/f^2*b^2*a*d^2*e*x-4*I/f*b^3*c*d*e*x+3*I/f^2*b*polylog(2,-exp(2*I*(f*x+e)))*a^2*d^2*x+6*I/f^2*b*a^2*c*d*e^2-6*I/f^2*b*a^2*d^2*e^2*x+a^3*c*d*x^2+12*I/f*b*a^2*c*d*e*x-2/f*b^3*c^2*ln(exp(I*(f*x+e)))+1/f*b^3*c^2*ln(exp(2*I*(f*x+e))+1)+2/f^3*b^3*d^2*ln(exp(I*(f*x+e)))-1/f^3*b^3*d^2*ln(exp(2*I*(f*x+e))+1)-I*b^3*c*d*x^2+I*b^3*c^2*x-a*b^2*d^2*x^3-3*b^2*a*c^2*x+2*b^2*(3*I*a*d^2*f*x^2*exp(2*I*(f*x+e))+6*I*a*c*d*f*x*exp(2*I*(f*x+e))+b*d^2*f*x^2*exp(2*I*(f*x+e))+3*I*a*c^2*f*exp(2*I*(f*x+e))+3*I*a*d^2*f*x^2-I*b*d^2*x*exp(2*I*(f*x+e))+2*b*c*d*f*x*exp(2*I*(f*x+e))+6*I*a*c*d*f*x-I*b*c*d*exp(2*I*(f*x+e))+b*c^2*f*exp(2*I*(f*x+e))+3*I*a*c^2*f-I*d^2*x*b-I*b*c*d)/f^2/(exp(2*I*(f*x+e))+1)^2+I*a^2*b*d^2*x^3-3/2*a^2*b*d^2*polylog(3,-exp(2*I*(f*x+e)))/f^3-2/f^3*b^3*d^2*e^2*ln(exp(I*(f*x+e)))+6/f*b*a^2*c^2*ln(exp(I*(f*x+e)))+1/3*a^3*d^2*x^3+a^3*c^2*x-3*I*a^2*b*c^2*x+3*I*a^2*b*c*d*x^2+4/f^2*b^3*c*d*e*ln(exp(I*(f*x+e)))-12/f^2*b^2*a*c*d*ln(exp(I*(f*x+e)))+6/f^2*b^2*a*c*d*ln(exp(2*I*(f*x+e))+1)+6/f^2*b^2*ln(exp(2*I*(f*x+e))+1)*a*d^2*x+2/f*b^3*ln(exp(2*I*(f*x+e))+1)*c*d*x-3/f*b*ln(exp(2*I*(f*x+e))+1)*a^2*d^2*x^2-6*I/f*b^2*a*d^2*x^2-2*I/f^2*b^3*c*d*e^2-3/f*b*a^2*c^2*ln(exp(2*I*(f*x+e))+1)+1/f*b^3*ln(exp(2*I*(f*x+e))+1)*d^2*x^2+4/3*I/f^3*b^3*d^2*e^3+6/f^3*b*a^2*d^2*e^2*ln(exp(I*(f*x+e)))-I/f^2*b^3*c*d*polylog(2,-exp(2*I*(f*x+e)))-4*I/f^3*b*a^2*d^2*e^3-6*I/f^3*b^2*a*d^2*e^2-I/f^2*b^3*polylog(2,-exp(2*I*(f*x+e)))*d^2*x+2*I/f^2*b^3*d^2*e^2*x+1/2*b^3*d^2*polylog(3,-exp(2*I*(f*x+e)))/f^3+12/f^3*b^2*a*d^2*e*ln(exp(I*(f*x+e)))-3*I*a*b^2*d^2*polylog(2,-exp(2*I*(f*x+e)))/f^3","B"
51,1,493,247,0.769000," ","int((d*x+c)*(a+b*tan(f*x+e))^3,x)","\frac{3 i a^{2} b d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{2}}+\frac{6 i b \,a^{2} d e x}{f}+\frac{b^{3} \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) d x}{f}-\frac{3 b \,a^{2} c \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}+\frac{6 b \,a^{2} c \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}+\frac{3 b^{2} a d \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f^{2}}-\frac{i b^{3} d \,e^{2}}{f^{2}}+\frac{3 i a^{2} b d \,x^{2}}{2}-\frac{i b^{3} d \polylog \left(2, -{\mathrm e}^{2 i \left(f x +e \right)}\right)}{2 f^{2}}-3 i a^{2} b c x -\frac{6 b^{2} a d \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{2 b^{3} d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}+\frac{b^{3} c \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)}{f}-\frac{2 b^{3} c \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f}+\frac{b^{2} \left(6 i a d f x \,{\mathrm e}^{2 i \left(f x +e \right)}+6 i a c f \,{\mathrm e}^{2 i \left(f x +e \right)}+2 b d f x \,{\mathrm e}^{2 i \left(f x +e \right)}+6 i a d f x -i b d \,{\mathrm e}^{2 i \left(f x +e \right)}+2 b c f \,{\mathrm e}^{2 i \left(f x +e \right)}+6 i a c f -i d b \right)}{f^{2} \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right)^{2}}+i b^{3} c x -\frac{i b^{3} d \,x^{2}}{2}-\frac{6 b \,a^{2} d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2}}-\frac{3 b \ln \left({\mathrm e}^{2 i \left(f x +e \right)}+1\right) a^{2} d x}{f}-\frac{2 i b^{3} d e x}{f}+\frac{3 i b \,a^{2} d \,e^{2}}{f^{2}}+\frac{a^{3} d \,x^{2}}{2}+a^{3} c x -3 a \,b^{2} c x -\frac{3 a \,b^{2} d \,x^{2}}{2}"," ",0,"1/f*b^3*ln(exp(2*I*(f*x+e))+1)*d*x-3/f*b*a^2*c*ln(exp(2*I*(f*x+e))+1)+6/f*b*a^2*c*ln(exp(I*(f*x+e)))+3/f^2*b^2*a*d*ln(exp(2*I*(f*x+e))+1)-6/f^2*b^2*a*d*ln(exp(I*(f*x+e)))+2/f^2*b^3*d*e*ln(exp(I*(f*x+e)))-I/f^2*b^3*d*e^2+b^2*(6*I*a*d*f*x*exp(2*I*(f*x+e))+6*I*a*c*f*exp(2*I*(f*x+e))+2*b*d*f*x*exp(2*I*(f*x+e))+6*I*a*d*f*x-I*b*d*exp(2*I*(f*x+e))+2*b*c*f*exp(2*I*(f*x+e))+6*I*a*c*f-I*d*b)/f^2/(exp(2*I*(f*x+e))+1)^2+I*b^3*c*x+3/2*I*a^2*b*d*polylog(2,-exp(2*I*(f*x+e)))/f^2+6*I/f*b*a^2*d*e*x+3/2*I*a^2*b*d*x^2-1/2*I*b^3*d*x^2+1/f*b^3*c*ln(exp(2*I*(f*x+e))+1)-2/f*b^3*c*ln(exp(I*(f*x+e)))-1/2*I*b^3*d*polylog(2,-exp(2*I*(f*x+e)))/f^2-6/f^2*b*a^2*d*e*ln(exp(I*(f*x+e)))-3/f*b*ln(exp(2*I*(f*x+e))+1)*a^2*d*x-2*I/f*b^3*d*e*x+3*I/f^2*b*a^2*d*e^2-3*I*a^2*b*c*x+1/2*a^3*d*x^2+a^3*c*x-3*a*b^2*c*x-3/2*a*b^2*d*x^2","A"
52,0,0,22,4.502000," ","int((a+b*tan(f*x+e))^3/(d*x+c),x)","\int \frac{\left(a +b \tan \left(f x +e \right)\right)^{3}}{d x +c}\, dx"," ",0,"int((a+b*tan(f*x+e))^3/(d*x+c),x)","F"
53,0,0,22,6.923000," ","int((a+b*tan(f*x+e))^3/(d*x+c)^2,x)","\int \frac{\left(a +b \tan \left(f x +e \right)\right)^{3}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((a+b*tan(f*x+e))^3/(d*x+c)^2,x)","F"
54,1,1450,220,1.184000," ","int((d*x+c)^3/(a+b*tan(f*x+e)),x)","-\frac{b \,d^{3} x^{4}}{2 \left(i a +b \right) \left(-i b -a \right)}-\frac{3 b c \,d^{2} \polylog \left(2, \frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) x}{f^{2} \left(i a +b \right) \left(-i b -a \right)}-\frac{3 i b \,d^{3} \polylog \left(3, \frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) x}{2 f^{3} \left(i a +b \right) \left(-i b -a \right)}-\frac{3 i b c \,d^{2} \polylog \left(3, \frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right)}{2 f^{3} \left(i a +b \right) \left(-i b -a \right)}-\frac{i b \,d^{3} e^{3} \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{f^{4} \left(i a +b \right) \left(i b +a \right)}+\frac{6 b c \,d^{2} e^{2} x}{f^{2} \left(i a +b \right) \left(-i b -a \right)}+\frac{2 i b \,d^{3} e^{3} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{4} \left(i a +b \right) \left(i b +a \right)}-\frac{i b \,d^{3} \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) x^{3}}{f \left(i a +b \right) \left(-i b -a \right)}-\frac{i b \,d^{3} \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) e^{3}}{f^{4} \left(i a +b \right) \left(-i b -a \right)}-\frac{6 b \,c^{2} d e x}{f \left(i a +b \right) \left(-i b -a \right)}+\frac{4 b c \,d^{2} e^{3}}{f^{3} \left(i a +b \right) \left(-i b -a \right)}-\frac{3 b \,c^{2} d \,e^{2}}{f^{2} \left(i a +b \right) \left(-i b -a \right)}-\frac{2 b \,d^{3} e^{3} x}{f^{3} \left(i a +b \right) \left(-i b -a \right)}-\frac{2 i b \,c^{3} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f \left(i a +b \right) \left(i b +a \right)}-\frac{3 b \,d^{3} \polylog \left(2, \frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) x^{2}}{2 f^{2} \left(i a +b \right) \left(-i b -a \right)}-\frac{3 b \,c^{2} d \polylog \left(2, \frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right)}{2 f^{2} \left(i a +b \right) \left(-i b -a \right)}+\frac{i b \,c^{3} \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{f \left(i a +b \right) \left(i b +a \right)}-\frac{c \,d^{2} x^{3}}{i b -a}-\frac{3 c^{2} d \,x^{2}}{2 \left(i b -a \right)}-\frac{d^{3} x^{4}}{4 \left(i b -a \right)}-\frac{c^{3} x}{i b -a}-\frac{3 i b \,c^{2} d \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) x}{f \left(i a +b \right) \left(-i b -a \right)}-\frac{3 i b \,c^{2} d e \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{f^{2} \left(i a +b \right) \left(i b +a \right)}-\frac{3 i b c \,d^{2} \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) x^{2}}{f \left(i a +b \right) \left(-i b -a \right)}-\frac{6 i b c \,d^{2} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3} \left(i a +b \right) \left(i b +a \right)}+\frac{3 i b c \,d^{2} e^{2} \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{f^{3} \left(i a +b \right) \left(i b +a \right)}-\frac{3 i b \,c^{2} d \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) e}{f^{2} \left(i a +b \right) \left(-i b -a \right)}+\frac{6 i b \,c^{2} d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2} \left(i a +b \right) \left(i b +a \right)}+\frac{3 i b c \,d^{2} \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) e^{2}}{f^{3} \left(i a +b \right) \left(-i b -a \right)}+\frac{3 b \,d^{3} \polylog \left(4, \frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right)}{4 f^{4} \left(i a +b \right) \left(-i b -a \right)}-\frac{2 b c \,d^{2} x^{3}}{\left(i a +b \right) \left(-i b -a \right)}-\frac{3 b \,c^{2} d \,x^{2}}{\left(i a +b \right) \left(-i b -a \right)}-\frac{3 b \,d^{3} e^{4}}{2 f^{4} \left(i a +b \right) \left(-i b -a \right)}"," ",0,"-1/4/(I*b-a)*d^3*x^4-1/(I*b-a)*c^3*x-1/2/(I*a+b)*b*d^3/(-I*b-a)*x^4+4/f^3/(I*a+b)*b*c*d^2*e^3/(-I*b-a)-3/f^2/(I*a+b)*b*c^2*d/(-I*b-a)*e^2-2/f^3/(I*a+b)*b*d^3/(-I*b-a)*e^3*x-2*I/f/(I*a+b)*b*c^3/(a+I*b)*ln(exp(I*(f*x+e)))-I/f^4/(I*a+b)*b*d^3*e^3/(a+I*b)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+6/f^2/(I*a+b)*b*c*d^2*e^2/(-I*b-a)*x-3/f^2/(I*a+b)*b*c*d^2/(-I*b-a)*polylog(2,(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*x-3/2*I/f^3/(I*a+b)*b*d^3/(-I*b-a)*polylog(3,(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*x+2*I/f^4/(I*a+b)*b*d^3*e^3/(a+I*b)*ln(exp(I*(f*x+e)))-3/2*I/f^3/(I*a+b)*b*c*d^2/(-I*b-a)*polylog(3,(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))-I/f/(I*a+b)*b*d^3/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*x^3-I/f^4/(I*a+b)*b*d^3/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*e^3-6/f/(I*a+b)*b*c^2*d/(-I*b-a)*e*x-1/(I*b-a)*c*d^2*x^3-3/2/(I*b-a)*c^2*d*x^2-3*I/f/(I*a+b)*b*c^2*d/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*x-3*I/f^2/(I*a+b)*b*c^2*d/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*e+6*I/f^2/(I*a+b)*b*c^2*d*e/(a+I*b)*ln(exp(I*(f*x+e)))+3*I/f^3/(I*a+b)*b*c*d^2/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*e^2-3*I/f^2/(I*a+b)*b*c^2*d*e/(a+I*b)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-3*I/f/(I*a+b)*b*c*d^2/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*x^2-6*I/f^3/(I*a+b)*b*c*d^2*e^2/(a+I*b)*ln(exp(I*(f*x+e)))+3*I/f^3/(I*a+b)*b*c*d^2*e^2/(a+I*b)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-3/2/f^2/(I*a+b)*b*d^3/(-I*b-a)*polylog(2,(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*x^2-3/2/f^2/(I*a+b)*b*c^2*d/(-I*b-a)*polylog(2,(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))+I/f/(I*a+b)*b*c^3/(a+I*b)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-2/(I*a+b)*b*c*d^2/(-I*b-a)*x^3-3/(I*a+b)*b*c^2*d/(-I*b-a)*x^2-3/2/f^4/(I*a+b)*b*d^3/(-I*b-a)*e^4+3/4/f^4/(I*a+b)*b*d^3/(-I*b-a)*polylog(4,(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))","B"
55,1,922,166,1.099000," ","int((d*x+c)^2/(a+b*tan(f*x+e)),x)","-\frac{d^{2} x^{3}}{3 \left(i b -a \right)}-\frac{c d \,x^{2}}{i b -a}-\frac{c^{2} x}{i b -a}-\frac{i b \,d^{2} \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) x^{2}}{f \left(i a +b \right) \left(-i b -a \right)}+\frac{i b \,c^{2} \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{f \left(i a +b \right) \left(i b +a \right)}-\frac{2 b \,d^{2} x^{3}}{3 \left(i a +b \right) \left(-i b -a \right)}+\frac{2 b \,d^{2} e^{2} x}{f^{2} \left(i a +b \right) \left(-i b -a \right)}+\frac{4 b \,d^{2} e^{3}}{3 f^{3} \left(i a +b \right) \left(-i b -a \right)}-\frac{b \,d^{2} \polylog \left(2, \frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) x}{f^{2} \left(i a +b \right) \left(-i b -a \right)}-\frac{i b \,d^{2} \polylog \left(3, \frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right)}{2 f^{3} \left(i a +b \right) \left(-i b -a \right)}+\frac{4 i b c d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2} \left(i a +b \right) \left(i b +a \right)}-\frac{2 i b \,d^{2} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{3} \left(i a +b \right) \left(i b +a \right)}+\frac{i b \,d^{2} e^{2} \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{f^{3} \left(i a +b \right) \left(i b +a \right)}+\frac{i b \,d^{2} e^{2} \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right)}{f^{3} \left(i a +b \right) \left(-i b -a \right)}-\frac{2 i b c d \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) x}{f \left(i a +b \right) \left(-i b -a \right)}-\frac{2 i b c d \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) e}{f^{2} \left(i a +b \right) \left(-i b -a \right)}-\frac{2 i b c d e \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{f^{2} \left(i a +b \right) \left(i b +a \right)}-\frac{2 i b \,c^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f \left(i a +b \right) \left(i b +a \right)}-\frac{2 b c d \,x^{2}}{\left(i a +b \right) \left(-i b -a \right)}-\frac{4 b c d e x}{f \left(i a +b \right) \left(-i b -a \right)}-\frac{2 b c d \,e^{2}}{f^{2} \left(i a +b \right) \left(-i b -a \right)}-\frac{b c d \polylog \left(2, \frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right)}{f^{2} \left(i a +b \right) \left(-i b -a \right)}"," ",0,"-1/3/(I*b-a)*d^2*x^3-1/(I*b-a)*c*d*x^2-1/(I*b-a)*c^2*x-I/f/(I*a+b)*b*d^2/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*x^2+I/f/(I*a+b)*b*c^2/(a+I*b)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-2/3/(I*a+b)*b*d^2/(-I*b-a)*x^3+2/f^2/(I*a+b)*b*d^2/(-I*b-a)*e^2*x+4/3/f^3/(I*a+b)*b*d^2/(-I*b-a)*e^3-1/f^2/(I*a+b)*b*d^2/(-I*b-a)*polylog(2,(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*x+4*I/f^2/(I*a+b)*b*c*d*e/(a+I*b)*ln(exp(I*(f*x+e)))-2*I/f^3/(I*a+b)*b*d^2*e^2/(a+I*b)*ln(exp(I*(f*x+e)))-1/2*I/f^3/(I*a+b)*b*d^2/(-I*b-a)*polylog(3,(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))+I/f^3/(I*a+b)*b*d^2*e^2/(a+I*b)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+I/f^3/(I*a+b)*b*d^2*e^2/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))-2*I/f/(I*a+b)*b*c*d/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*x-2*I/f^2/(I*a+b)*b*c*d/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*e-2*I/f^2/(I*a+b)*b*c*d*e/(a+I*b)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-2*I/f/(I*a+b)*b*c^2/(a+I*b)*ln(exp(I*(f*x+e)))-2/(I*a+b)*b*c*d/(-I*b-a)*x^2-4/f/(I*a+b)*b*c*d/(-I*b-a)*e*x-2/f^2/(I*a+b)*b*c*d/(-I*b-a)*e^2-1/f^2/(I*a+b)*b*c*d/(-I*b-a)*polylog(2,(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))","B"
56,1,462,113,0.964000," ","int((d*x+c)/(a+b*tan(f*x+e)),x)","-\frac{d \,x^{2}}{2 \left(i b -a \right)}-\frac{c x}{i b -a}-\frac{2 b c \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f \left(-i b +a \right) \left(i b +a \right)}+\frac{b c \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{f \left(-i b +a \right) \left(i b +a \right)}-\frac{b d \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) x}{f \left(-i b +a \right) \left(-i b -a \right)}-\frac{b d \ln \left(1-\frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right) e}{f^{2} \left(-i b +a \right) \left(-i b -a \right)}+\frac{i b d \,x^{2}}{\left(-i b +a \right) \left(-i b -a \right)}+\frac{2 i b d e x}{f \left(-i b +a \right) \left(-i b -a \right)}+\frac{i b d \,e^{2}}{f^{2} \left(-i b +a \right) \left(-i b -a \right)}+\frac{i b d \polylog \left(2, \frac{\left(-i b +a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{-i b -a}\right)}{2 f^{2} \left(-i b +a \right) \left(-i b -a \right)}+\frac{2 b d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{f^{2} \left(-i b +a \right) \left(i b +a \right)}-\frac{b d e \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{f^{2} \left(-i b +a \right) \left(i b +a \right)}"," ",0,"-1/2/(I*b-a)*d*x^2-1/(I*b-a)*c*x-2/f*b/(a-I*b)*c/(a+I*b)*ln(exp(I*(f*x+e)))+1/f*b/(a-I*b)*c/(a+I*b)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-1/f*b/(a-I*b)*d/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*x-1/f^2*b/(a-I*b)*d/(-I*b-a)*ln(1-(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))*e+I*b/(a-I*b)*d/(-I*b-a)*x^2+2*I/f*b/(a-I*b)*d/(-I*b-a)*e*x+I/f^2*b/(a-I*b)*d/(-I*b-a)*e^2+1/2*I/f^2*b/(a-I*b)*d/(-I*b-a)*polylog(2,(a-I*b)*exp(2*I*(f*x+e))/(-I*b-a))+2/f^2*b/(a-I*b)*d*e/(a+I*b)*ln(exp(I*(f*x+e)))-1/f^2*b/(a-I*b)*d*e/(a+I*b)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)","B"
57,0,0,22,1.720000," ","int(1/(d*x+c)/(a+b*tan(f*x+e)),x)","\int \frac{1}{\left(d x +c \right) \left(a +b \tan \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)/(a+b*tan(f*x+e)),x)","F"
58,0,0,22,3.202000," ","int(1/(d*x+c)^2/(a+b*tan(f*x+e)),x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +b \tan \left(f x +e \right)\right)}\, dx"," ",0,"int(1/(d*x+c)^2/(a+b*tan(f*x+e)),x)","F"
59,1,3488,763,1.346000," ","int((d*x+c)^3/(a+b*tan(f*x+e))^2,x)","\text{output too large to display}"," ",0,"-1/4/(2*I*a*b-a^2+b^2)*d^3*x^4-1/(2*I*a*b-a^2+b^2)*c^3*x-12/(I*a+b)^2/f^2/(b-I*a)*b*a*c*d^2/(a+I*b)*e^2*x+6*I/(I*a+b)^2/f^2/(b-I*a)*b^2*c*d^2/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x+6*I/(I*a+b)^2/f^3/(b-I*a)*b^2*c*d^2/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*e+12*I/(I*a+b)^2/f^3/(b-I*a)*b^2*c*d^2*e/(a+I*b)*ln(exp(I*(f*x+e)))+3*I/(I*a+b)^2/f^3/(b-I*a)*b*a*c*d^2/(a+I*b)*polylog(3,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))+4*I/(I*a+b)^2/f^4/(b-I*a)*b*a*d^3*e^3/(a+I*b)*ln(exp(I*(f*x+e)))-2*I/(I*a+b)^2/f/(b-I*a)*b*a^2*c^3/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+2*I/(I*a+b)^2/f/(b-I*a)*b*a*d^3/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x^3+3*I/(I*a+b)^2/f^3/(b-I*a)*b*a*d^3/(a+I*b)*polylog(3,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x+6/(I*a+b)^2/f/(b-I*a)*b^2*c*d^2/(a+I*b)*x^2+3/(I*a+b)^2/f^4/(b-I*a)*b*a*d^3/(a+I*b)*e^4-3/2/(I*a+b)^2/f^4/(b-I*a)*b*a*d^3/(a+I*b)*polylog(4,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))+6/(I*a+b)^2/f^3/(b-I*a)*b^2*c*d^2/(a+I*b)*e^2-6/(I*a+b)^2/f^3/(b-I*a)*b^2*d^3/(a+I*b)*e^2*x+3/(I*a+b)^2/f^3/(b-I*a)*b^2*d^3/(a+I*b)*polylog(2,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x+4/(I*a+b)^2/(b-I*a)*b*a*c*d^2/(a+I*b)*x^3+6/(I*a+b)^2/(b-I*a)*b*a*c^2*d/(a+I*b)*x^2+3/2*I/(I*a+b)^2/f^4/(b-I*a)*b^2*d^3/(a+I*b)*polylog(3,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))+3/(I*a+b)^2/f^3/(b-I*a)*b^2*c*d^2/(a+I*b)*polylog(2,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))+2*I/(I*a+b)^2/f^4/(b-I*a)*b*a*d^3*e^3/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))+2/(I*a+b)^2/f^4/(b-I*a)*b^2*a*d^3*e^3/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+6/(I*a+b)^2/f^3/(b-I*a)*b^3*c*d^2*e/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+12/(I*a+b)^2/f/(b-I*a)*b*a*c^2*d/(a+I*b)*e*x+6/(I*a+b)^2/f^2/(b-I*a)*b*a*c*d^2/(a+I*b)*polylog(2,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x+6*I/(I*a+b)^2/f^3/(b-I*a)*b^2*c*d^2*e/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)*a+6*I/(I*a+b)^2/f^2/(b-I*a)*b*a^2*c^2*d*e/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-6*I/(I*a+b)^2/f^3/(b-I*a)*b*a^2*c*d^2*e^2/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+2*I/(I*a+b)^2/f^4/(b-I*a)*b*a^2*d^3*e^3/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-3*I/(I*a+b)^2/f^4/(b-I*a)*b^2*d^3*e^2/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)*a+12*I/(I*a+b)^2/f^2/(b-I*a)*b*a*c^2*d*e/(a+I*b)*ln(exp(I*(f*x+e)))+6*I/(I*a+b)^2/f^2/(b-I*a)*b*a*c^2*d/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*e-6*I/(I*a+b)^2/f^3/(b-I*a)*b*a*c*d^2/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*e^2-6/(I*a+b)^2/f^3/(b-I*a)*b^2*a*c*d^2*e^2/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+6*I/(I*a+b)^2/f/(b-I*a)*b*a*c^2*d/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x+6*I/(I*a+b)^2/f/(b-I*a)*b*a*c*d^2/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x^2-12*I/(I*a+b)^2/f^3/(b-I*a)*b*a*c*d^2*e^2/(a+I*b)*ln(exp(I*(f*x+e)))-3*I/(I*a+b)^2/f^2/(b-I*a)*b^2*c^2*d/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)*a+6/(I*a+b)^2/f^2/(b-I*a)*b^2*a*c^2*d*e/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+3/(I*a+b)^2/f^2/(b-I*a)*b*a*d^3/(a+I*b)*polylog(2,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x^2+3/(I*a+b)^2/f^2/(b-I*a)*b*a*c^2*d/(a+I*b)*polylog(2,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))-2/(I*a+b)^2/f/(b-I*a)*b^2*a*c^3/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-3/(I*a+b)^2/f^4/(b-I*a)*b^3*d^3*e^2/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+6/(I*a+b)^2/f^2/(b-I*a)*b*a*c^2*d/(a+I*b)*e^2-1/(2*I*a*b-a^2+b^2)*c*d^2*x^3-3/2/(2*I*a*b-a^2+b^2)*c^2*d*x^2-3*I/(I*a+b)^2/f^4/(b-I*a)*b^2*d^3/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*e^2-3/(I*a+b)^2/f^2/(b-I*a)*b^3*c^2*d/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+4/(I*a+b)^2/f^3/(b-I*a)*b*a*d^3/(a+I*b)*e^3*x-8/(I*a+b)^2/f^3/(b-I*a)*b*a*c*d^2/(a+I*b)*e^3+12/(I*a+b)^2/f^2/(b-I*a)*b^2*c*d^2/(a+I*b)*e*x-6*I/(I*a+b)^2/f^4/(b-I*a)*b^2*d^3*e^2/(a+I*b)*ln(exp(I*(f*x+e)))+3*I/(I*a+b)^2/f^2/(b-I*a)*b^2*d^3/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x^2-6*I/(I*a+b)^2/f^2/(b-I*a)*b^2*c^2*d/(a+I*b)*ln(exp(I*(f*x+e)))-4*I/(I*a+b)^2/f/(b-I*a)*b*a*c^3/(a+I*b)*ln(exp(I*(f*x+e)))+1/(I*a+b)^2/(b-I*a)*b*a*d^3/(a+I*b)*x^4-4/(I*a+b)^2/f^4/(b-I*a)*b^2*d^3/(a+I*b)*e^3+2/(I*a+b)^2/f/(b-I*a)*b^2*d^3/(a+I*b)*x^3-2*I*b^2*(d^3*x^3+3*c*d^2*x^2+3*c^2*d*x+c^3)/(b-I*a)/f/(I*a+b)^2/(exp(2*I*(f*x+e))*b+I*a*exp(2*I*(f*x+e))-b+I*a)","B"
60,1,2160,588,1.228000," ","int((d*x+c)^2/(a+b*tan(f*x+e))^2,x)","\frac{2 b^{2} d^{2} x^{2}}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right)}+\frac{2 b^{2} d^{2} e^{2}}{\left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right)}+\frac{4 b a \,d^{2} x^{3}}{3 \left(i a +b \right)^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{b^{2} d^{2} \polylog \left(2, \frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right)}{\left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right)}-\frac{2 i b^{2} \left(d^{2} x^{2}+2 c d x +c^{2}\right)}{\left(-i a +b \right) f \left(i a +b \right)^{2} \left({\mathrm e}^{2 i \left(f x +e \right)} b +i a \,{\mathrm e}^{2 i \left(f x +e \right)}-b +i a \right)}-\frac{2 b^{2} a \,d^{2} e^{2} \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}+\frac{2 i b a \,d^{2} \ln \left(1-\frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right) x^{2}}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right)}-\frac{2 i b \,a^{2} c^{2} \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}-\frac{4 i b a \,d^{2} e^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{\left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right)}-\frac{2 i b a \,d^{2} \ln \left(1-\frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right) e^{2}}{\left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right)}+\frac{4 b a c d \,x^{2}}{\left(i a +b \right)^{2} \left(-i a +b \right) \left(i b +a \right)}-\frac{8 b a \,d^{2} e^{3}}{3 \left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right)}+\frac{4 b^{2} d^{2} e x}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{8 i b a c d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{4 b^{2} a c d e \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}-\frac{2 i b^{2} c d \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right) a}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}+\frac{4 i b a c d \ln \left(1-\frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right) e}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{4 i b a c d \ln \left(1-\frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right) x}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right)}-\frac{2 i b \,a^{2} d^{2} e^{2} \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}+\frac{8 b a c d e x}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right)}+\frac{2 i b^{2} d^{2} e \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right) a}{\left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}-\frac{c d \,x^{2}}{2 i a b -a^{2}+b^{2}}-\frac{4 b a \,d^{2} e^{2} x}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{2 b a \,d^{2} \polylog \left(2, \frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right) x}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{i b a \,d^{2} \polylog \left(3, \frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right)}{\left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right)}+\frac{2 b a c d \polylog \left(2, \frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}-\frac{4 i b^{2} c d \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{2 i b^{2} d^{2} \ln \left(1-\frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right) x}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{2 i b^{2} d^{2} \ln \left(1-\frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right) e}{\left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right)}-\frac{2 b^{3} c d \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}+\frac{4 b a c d \,e^{2}}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{2 b^{3} d^{2} e \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}-\frac{2 b^{2} a \,c^{2} \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}+\frac{4 i b^{2} d^{2} e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{\left(i a +b \right)^{2} f^{3} \left(-i a +b \right) \left(i b +a \right)}-\frac{4 i b a \,c^{2} \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right)}-\frac{d^{2} x^{3}}{3 \left(2 i a b -a^{2}+b^{2}\right)}-\frac{c^{2} x}{2 i a b -a^{2}+b^{2}}+\frac{4 i b \,a^{2} c d e \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}"," ",0,"-1/3/(2*I*a*b-a^2+b^2)*d^2*x^3-1/(2*I*a*b-a^2+b^2)*c^2*x+1/(I*a+b)^2/f^3/(b-I*a)*b^2*d^2/(a+I*b)*polylog(2,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))+2/(I*a+b)^2/f/(b-I*a)*b^2*d^2/(a+I*b)*x^2+2/(I*a+b)^2/f^3/(b-I*a)*b^2*d^2/(a+I*b)*e^2+4/3/(I*a+b)^2/(b-I*a)*b*a*d^2/(a+I*b)*x^3+I/(I*a+b)^2/f^3/(b-I*a)*b*a*d^2/(a+I*b)*polylog(3,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))+2*I/(I*a+b)^2/f^3/(b-I*a)*b^2*d^2*e/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)*a+8*I/(I*a+b)^2/f^2/(b-I*a)*b*a*c*d*e/(a+I*b)*ln(exp(I*(f*x+e)))-2/(I*a+b)^2/f^2/(b-I*a)*b^3*c*d/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+4/(I*a+b)^2/(b-I*a)*b*a*c*d/(a+I*b)*x^2-8/3/(I*a+b)^2/f^3/(b-I*a)*b*a*d^2*e^3/(a+I*b)+4/(I*a+b)^2/f^2/(b-I*a)*b^2*d^2/(a+I*b)*e*x+8/(I*a+b)^2/f/(b-I*a)*b*a*c*d/(a+I*b)*e*x+4/(I*a+b)^2/f^2/(b-I*a)*b^2*a*c*d*e/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-2*I/(I*a+b)^2/f^2/(b-I*a)*b^2*c*d/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)*a+4*I/(I*a+b)^2/f^2/(b-I*a)*b*a*c*d/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*e+4*I/(I*a+b)^2/f/(b-I*a)*b*a*c*d/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x-2*I/(I*a+b)^2/f^3/(b-I*a)*b*a^2*d^2*e^2/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+4*I/(I*a+b)^2/f^2/(b-I*a)*b*a^2*c*d*e/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-1/(2*I*a*b-a^2+b^2)*c*d*x^2+2/(I*a+b)^2/f^2/(b-I*a)*b*a*c*d/(a+I*b)*polylog(2,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))+2/(I*a+b)^2/f^2/(b-I*a)*b*a*d^2/(a+I*b)*polylog(2,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x+4/(I*a+b)^2/f^2/(b-I*a)*b*a*c*d/(a+I*b)*e^2+2/(I*a+b)^2/f^3/(b-I*a)*b^3*d^2*e/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-2/(I*a+b)^2/f/(b-I*a)*b^2*a*c^2/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+4*I/(I*a+b)^2/f^3/(b-I*a)*b^2*d^2*e/(a+I*b)*ln(exp(I*(f*x+e)))-4*I/(I*a+b)^2/f/(b-I*a)*b*a*c^2/(a+I*b)*ln(exp(I*(f*x+e)))-4/(I*a+b)^2/f^2/(b-I*a)*b*a*d^2*e^2/(a+I*b)*x-2*I*b^2*(d^2*x^2+2*c*d*x+c^2)/(b-I*a)/f/(I*a+b)^2/(exp(2*I*(f*x+e))*b+I*a*exp(2*I*(f*x+e))-b+I*a)-2/(I*a+b)^2/f^3/(b-I*a)*b^2*a*d^2*e^2/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+2*I/(I*a+b)^2/f/(b-I*a)*b*a*d^2/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x^2-2*I/(I*a+b)^2/f/(b-I*a)*b*a^2*c^2/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-4*I/(I*a+b)^2/f^3/(b-I*a)*b*a*d^2*e^2/(a+I*b)*ln(exp(I*(f*x+e)))-2*I/(I*a+b)^2/f^3/(b-I*a)*b*a*d^2/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*e^2-4*I/(I*a+b)^2/f^2/(b-I*a)*b^2*c*d/(a+I*b)*ln(exp(I*(f*x+e)))+2*I/(I*a+b)^2/f^2/(b-I*a)*b^2*d^2/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x+2*I/(I*a+b)^2/f^3/(b-I*a)*b^2*d^2/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*e","B"
61,1,999,202,1.146000," ","int((d*x+c)/(a+b*tan(f*x+e))^2,x)","-\frac{d \,x^{2}}{2 \left(2 i a b -a^{2}+b^{2}\right)}-\frac{c x}{2 i a b -a^{2}+b^{2}}+\frac{2 i b a d \ln \left(1-\frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right) e}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}-\frac{2 i b^{2} \left(d x +c \right)}{\left(-i a +b \right) f \left(i a +b \right)^{2} \left({\mathrm e}^{2 i \left(f x +e \right)} b +i a \,{\mathrm e}^{2 i \left(f x +e \right)}-b +i a \right)}-\frac{b^{3} d \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}+\frac{2 i b \,a^{2} d e \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}+\frac{2 i b a d \ln \left(1-\frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right) x}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right)}-\frac{2 b^{2} a c \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}-\frac{2 i b^{2} d \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}-\frac{4 i b a c \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right)}+\frac{2 b^{2} a d e \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}-\frac{2 i b \,a^{2} c \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right)}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}-\frac{i b^{2} d \ln \left(i {\mathrm e}^{2 i \left(f x +e \right)} b -a \,{\mathrm e}^{2 i \left(f x +e \right)}-i b -a \right) a}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right) \left(i b -a \right)}+\frac{4 i b a d e \ln \left({\mathrm e}^{i \left(f x +e \right)}\right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{2 b a d \,x^{2}}{\left(i a +b \right)^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{4 b a d e x}{\left(i a +b \right)^{2} f \left(-i a +b \right) \left(i b +a \right)}+\frac{2 b a d \,e^{2}}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}+\frac{b a d \polylog \left(2, \frac{\left(i b -a \right) {\mathrm e}^{2 i \left(f x +e \right)}}{i b +a}\right)}{\left(i a +b \right)^{2} f^{2} \left(-i a +b \right) \left(i b +a \right)}"," ",0,"-1/2/(2*I*a*b-a^2+b^2)*d*x^2-1/(2*I*a*b-a^2+b^2)*c*x+2*I/(I*a+b)^2/f^2/(b-I*a)*b*a*d/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*e-2*I*b^2*(d*x+c)/(b-I*a)/f/(I*a+b)^2/(exp(2*I*(f*x+e))*b+I*a*exp(2*I*(f*x+e))-b+I*a)-1/(I*a+b)^2/f^2/(b-I*a)*b^3*d/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+2*I/(I*a+b)^2/f^2/(b-I*a)*b*a^2*d*e/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)+2*I/(I*a+b)^2/f/(b-I*a)*b*a*d/(a+I*b)*ln(1-(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))*x-2/(I*a+b)^2/f/(b-I*a)*b^2*a*c/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-2*I/(I*a+b)^2/f^2/(b-I*a)*b^2*d/(a+I*b)*ln(exp(I*(f*x+e)))-4*I/(I*a+b)^2/f/(b-I*a)*b*a*c/(a+I*b)*ln(exp(I*(f*x+e)))+2/(I*a+b)^2/f^2/(b-I*a)*b^2*a*d*e/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-2*I/(I*a+b)^2/f/(b-I*a)*b*a^2*c/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)-I/(I*a+b)^2/f^2/(b-I*a)*b^2*d/(a+I*b)/(I*b-a)*ln(I*exp(2*I*(f*x+e))*b-a*exp(2*I*(f*x+e))-I*b-a)*a+4*I/(I*a+b)^2/f^2/(b-I*a)*b*a*d*e/(a+I*b)*ln(exp(I*(f*x+e)))+2/(I*a+b)^2/(b-I*a)*b*a*d/(a+I*b)*x^2+4/(I*a+b)^2/f/(b-I*a)*b*a*d/(a+I*b)*e*x+2/(I*a+b)^2/f^2/(b-I*a)*b*a*d/(a+I*b)*e^2+1/(I*a+b)^2/f^2/(b-I*a)*b*a*d/(a+I*b)*polylog(2,(I*b-a)*exp(2*I*(f*x+e))/(a+I*b))","B"
62,0,0,22,10.733000," ","int(1/(d*x+c)/(a+b*tan(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right) \left(a +b \tan \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)/(a+b*tan(f*x+e))^2,x)","F"
63,0,0,22,18.371000," ","int(1/(d*x+c)^2/(a+b*tan(f*x+e))^2,x)","\int \frac{1}{\left(d x +c \right)^{2} \left(a +b \tan \left(f x +e \right)\right)^{2}}\, dx"," ",0,"int(1/(d*x+c)^2/(a+b*tan(f*x+e))^2,x)","F"