1,0,0,0,0.000000," ","integrate(x^3*tan(b*x+a),x, algorithm=""giac"")","\int x^{3} \tan\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*tan(b*x + a), x)","F",0
2,0,0,0,0.000000," ","integrate(x^2*tan(b*x+a),x, algorithm=""giac"")","\int x^{2} \tan\left(b x + a\right)\,{d x}"," ",0,"integrate(x^2*tan(b*x + a), x)","F",0
3,0,0,0,0.000000," ","integrate(x*tan(b*x+a),x, algorithm=""giac"")","\int x \tan\left(b x + a\right)\,{d x}"," ",0,"integrate(x*tan(b*x + a), x)","F",0
4,0,0,0,0.000000," ","integrate(tan(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\tan\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(tan(b*x + a)/x, x)","F",0
5,0,0,0,0.000000," ","integrate(tan(b*x+a)/x^2,x, algorithm=""giac"")","\int \frac{\tan\left(b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(tan(b*x + a)/x^2, x)","F",0
6,0,0,0,0.000000," ","integrate(x^3*tan(b*x+a)^2,x, algorithm=""giac"")","\int x^{3} \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^3*tan(b*x + a)^2, x)","F",0
7,0,0,0,0.000000," ","integrate(x^2*tan(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*tan(b*x + a)^2, x)","F",0
8,1,182,0,1.263086," ","integrate(x*tan(b*x+a)^2,x, algorithm=""giac"")","-\frac{b^{2} x^{2} \tan\left(b x\right) \tan\left(a\right) - b^{2} x^{2} + 2 \, b x \tan\left(b x\right) + 2 \, b x \tan\left(a\right) - \log\left(\frac{4 \, {\left(\tan\left(b x\right)^{4} \tan\left(a\right)^{2} - 2 \, \tan\left(b x\right)^{3} \tan\left(a\right) + \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + \tan\left(b x\right)^{2} - 2 \, \tan\left(b x\right) \tan\left(a\right) + 1\right)}}{\tan\left(a\right)^{2} + 1}\right) \tan\left(b x\right) \tan\left(a\right) + \log\left(\frac{4 \, {\left(\tan\left(b x\right)^{4} \tan\left(a\right)^{2} - 2 \, \tan\left(b x\right)^{3} \tan\left(a\right) + \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + \tan\left(b x\right)^{2} - 2 \, \tan\left(b x\right) \tan\left(a\right) + 1\right)}}{\tan\left(a\right)^{2} + 1}\right)}{2 \, {\left(b^{2} \tan\left(b x\right) \tan\left(a\right) - b^{2}\right)}}"," ",0,"-1/2*(b^2*x^2*tan(b*x)*tan(a) - b^2*x^2 + 2*b*x*tan(b*x) + 2*b*x*tan(a) - log(4*(tan(b*x)^4*tan(a)^2 - 2*tan(b*x)^3*tan(a) + tan(b*x)^2*tan(a)^2 + tan(b*x)^2 - 2*tan(b*x)*tan(a) + 1)/(tan(a)^2 + 1))*tan(b*x)*tan(a) + log(4*(tan(b*x)^4*tan(a)^2 - 2*tan(b*x)^3*tan(a) + tan(b*x)^2*tan(a)^2 + tan(b*x)^2 - 2*tan(b*x)*tan(a) + 1)/(tan(a)^2 + 1)))/(b^2*tan(b*x)*tan(a) - b^2)","B",0
9,0,0,0,0.000000," ","integrate(tan(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\tan\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(tan(b*x + a)^2/x, x)","F",0
10,0,0,0,0.000000," ","integrate(tan(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\tan\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(tan(b*x + a)^2/x^2, x)","F",0
11,0,0,0,0.000000," ","integrate(x^3*tan(b*x+a)^3,x, algorithm=""giac"")","\int x^{3} \tan\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^3*tan(b*x + a)^3, x)","F",0
12,0,0,0,0.000000," ","integrate(x^2*tan(b*x+a)^3,x, algorithm=""giac"")","\int x^{2} \tan\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^2*tan(b*x + a)^3, x)","F",0
13,0,0,0,0.000000," ","integrate(x*tan(b*x+a)^3,x, algorithm=""giac"")","\int x \tan\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x*tan(b*x + a)^3, x)","F",0
14,0,0,0,0.000000," ","integrate(tan(b*x+a)^3/x,x, algorithm=""giac"")","\int \frac{\tan\left(b x + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(tan(b*x + a)^3/x, x)","F",0
15,0,0,0,0.000000," ","integrate(tan(b*x+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\tan\left(b x + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(tan(b*x + a)^3/x^2, x)","F",0
16,0,0,0,0.000000," ","integrate(-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, algorithm=""giac"")","\int x^{2} \sqrt{\tan\left(b x + a\right)} + \frac{x^{2}}{\tan\left(b x + a\right)^{\frac{3}{2}}} - \frac{4 \, x}{b \sqrt{\tan\left(b x + a\right)}}\,{d x}"," ",0,"integrate(x^2*sqrt(tan(b*x + a)) + x^2/tan(b*x + a)^(3/2) - 4*x/(b*sqrt(tan(b*x + a))), x)","F",0
17,0,0,0,0.000000," ","integrate(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, algorithm=""giac"")","\int x^{2} \tan\left(b x^{2} + a\right)^{\frac{3}{2}} + \frac{x^{2}}{\sqrt{\tan\left(b x^{2} + a\right)}} + \frac{\sqrt{\tan\left(b x^{2} + a\right)}}{b}\,{d x}"," ",0,"integrate(x^2*tan(b*x^2 + a)^(3/2) + x^2/sqrt(tan(b*x^2 + a)) + sqrt(tan(b*x^2 + a))/b, x)","F",0
18,1,193,0,0.671342," ","integrate((d*x+c)^3/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\frac{{\left(2 \, d^{3} f^{4} x^{4} e^{\left(2 i \, f x + 2 i \, e\right)} + 8 \, c d^{2} f^{4} x^{3} e^{\left(2 i \, f x + 2 i \, e\right)} + 12 \, c^{2} d f^{4} x^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 4 i \, d^{3} f^{3} x^{3} + 8 \, c^{3} f^{4} x e^{\left(2 i \, f x + 2 i \, e\right)} + 12 i \, c d^{2} f^{3} x^{2} + 12 i \, c^{2} d f^{3} x + 6 \, d^{3} f^{2} x^{2} + 4 i \, c^{3} f^{3} + 12 \, c d^{2} f^{2} x + 6 \, c^{2} d f^{2} - 6 i \, d^{3} f x - 6 i \, c d^{2} f - 3 \, d^{3}\right)} e^{\left(-2 i \, f x - 2 i \, e\right)}}{16 \, a f^{4}}"," ",0,"1/16*(2*d^3*f^4*x^4*e^(2*I*f*x + 2*I*e) + 8*c*d^2*f^4*x^3*e^(2*I*f*x + 2*I*e) + 12*c^2*d*f^4*x^2*e^(2*I*f*x + 2*I*e) + 4*I*d^3*f^3*x^3 + 8*c^3*f^4*x*e^(2*I*f*x + 2*I*e) + 12*I*c*d^2*f^3*x^2 + 12*I*c^2*d*f^3*x + 6*d^3*f^2*x^2 + 4*I*c^3*f^3 + 12*c*d^2*f^2*x + 6*c^2*d*f^2 - 6*I*d^3*f*x - 6*I*c*d^2*f - 3*d^3)*e^(-2*I*f*x - 2*I*e)/(a*f^4)","A",0
19,1,123,0,0.793145," ","integrate((d*x+c)^2/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\frac{{\left(4 \, d^{2} f^{3} x^{3} e^{\left(2 i \, f x + 2 i \, e\right)} + 12 \, c d f^{3} x^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 12 \, c^{2} f^{3} x e^{\left(2 i \, f x + 2 i \, e\right)} + 6 i \, d^{2} f^{2} x^{2} + 12 i \, c d f^{2} x + 6 i \, c^{2} f^{2} + 6 \, d^{2} f x + 6 \, c d f - 3 i \, d^{2}\right)} e^{\left(-2 i \, f x - 2 i \, e\right)}}{24 \, a f^{3}}"," ",0,"1/24*(4*d^2*f^3*x^3*e^(2*I*f*x + 2*I*e) + 12*c*d*f^3*x^2*e^(2*I*f*x + 2*I*e) + 12*c^2*f^3*x*e^(2*I*f*x + 2*I*e) + 6*I*d^2*f^2*x^2 + 12*I*c*d*f^2*x + 6*I*c^2*f^2 + 6*d^2*f*x + 6*c*d*f - 3*I*d^2)*e^(-2*I*f*x - 2*I*e)/(a*f^3)","A",0
20,1,65,0,0.703115," ","integrate((d*x+c)/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\frac{{\left(2 \, d f^{2} x^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 4 \, c f^{2} x e^{\left(2 i \, f x + 2 i \, e\right)} + 2 i \, d f x + 2 i \, c f + d\right)} e^{\left(-2 i \, f x - 2 i \, e\right)}}{8 \, a f^{2}}"," ",0,"1/8*(2*d*f^2*x^2*e^(2*I*f*x + 2*I*e) + 4*c*f^2*x*e^(2*I*f*x + 2*I*e) + 2*I*d*f*x + 2*I*c*f + d)*e^(-2*I*f*x - 2*I*e)/(a*f^2)","A",0
21,1,142,0,0.776093," ","integrate(1/(d*x+c)/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\frac{\cos\left(\frac{2 \, c f}{d}\right) \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + \cos\left(2 \, e\right) \log\left(d x + c\right) + i \, \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{2 \, c f}{d}\right) + i \, \log\left(d x + c\right) \sin\left(2 \, e\right) - i \, \cos\left(\frac{2 \, c f}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + \sin\left(\frac{2 \, c f}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right)}{2 \, {\left(a d \cos\left(2 \, e\right) + i \, a d \sin\left(2 \, e\right)\right)}}"," ",0,"1/2*(cos(2*c*f/d)*cos_integral(-2*(d*f*x + c*f)/d) + cos(2*e)*log(d*x + c) + I*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*c*f/d) + I*log(d*x + c)*sin(2*e) - I*cos(2*c*f/d)*sin_integral(2*(d*f*x + c*f)/d) + sin(2*c*f/d)*sin_integral(2*(d*f*x + c*f)/d))/(a*d*cos(2*e) + I*a*d*sin(2*e))","A",0
22,1,1099,0,74.992103," ","integrate(1/(d*x+c)^2/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","-\frac{{\left(2 i \, {\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} \cos\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) \operatorname{Ci}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) - 2 i \, c f^{3} \cos\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) \operatorname{Ci}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) + 2 i \, d f^{2} \cos\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) \operatorname{Ci}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e - 2 \, {\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} \operatorname{Ci}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) \sin\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) + 2 \, c f^{3} \operatorname{Ci}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) \sin\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) - 2 \, d f^{2} \operatorname{Ci}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) e \sin\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) + 2 \, {\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} \cos\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) \operatorname{Si}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) - 2 \, c f^{3} \cos\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) \operatorname{Si}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) + 2 \, d f^{2} \cos\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) e \operatorname{Si}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) + 2 i \, {\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} \sin\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) \operatorname{Si}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) - 2 i \, c f^{3} \sin\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) \operatorname{Si}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) + 2 i \, d f^{2} e \sin\left(\frac{2 \, {\left(c f - d e\right)}}{d}\right) \operatorname{Si}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e\right)}}{d}\right) - d f^{2} \cos\left(\frac{2 \, {\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right) - i \, d f^{2} \sin\left(\frac{2 \, {\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right) - d f^{2}\right)} d^{2}}{2 \, {\left({\left(d x + c\right)} a d^{4} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - a c d^{4} f + a d^{5} e\right)} f}"," ",0,"-1/2*(2*I*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*cos(2*(c*f - d*e)/d)*cos_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - 2*I*c*f^3*cos(2*(c*f - d*e)/d)*cos_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + 2*I*d*f^2*cos(2*(c*f - d*e)/d)*cos_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e - 2*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*cos_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*sin(2*(c*f - d*e)/d) + 2*c*f^3*cos_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*sin(2*(c*f - d*e)/d) - 2*d*f^2*cos_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e*sin(2*(c*f - d*e)/d) + 2*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*cos(2*(c*f - d*e)/d)*sin_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - 2*c*f^3*cos(2*(c*f - d*e)/d)*sin_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + 2*d*f^2*cos(2*(c*f - d*e)/d)*e*sin_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + 2*I*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*sin(2*(c*f - d*e)/d)*sin_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - 2*I*c*f^3*sin(2*(c*f - d*e)/d)*sin_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + 2*I*d*f^2*e*sin(2*(c*f - d*e)/d)*sin_integral(-2*((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - d*f^2*cos(2*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - I*d*f^2*sin(2*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - d*f^2)*d^2/(((d*x + c)*a*d^4*(c*f/(d*x + c) - f - d*e/(d*x + c)) - a*c*d^4*f + a*d^5*e)*f)","B",0
23,1,542,0,0.876173," ","integrate(1/(d*x+c)^3/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","-\frac{4 \, d^{2} f^{2} x^{2} \cos\left(\frac{2 \, c f}{d}\right) \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 4 i \, d^{2} f^{2} x^{2} \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{2 \, c f}{d}\right) - 4 i \, d^{2} f^{2} x^{2} \cos\left(\frac{2 \, c f}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 4 \, d^{2} f^{2} x^{2} \sin\left(\frac{2 \, c f}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 8 \, c d f^{2} x \cos\left(\frac{2 \, c f}{d}\right) \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 8 i \, c d f^{2} x \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{2 \, c f}{d}\right) - 8 i \, c d f^{2} x \cos\left(\frac{2 \, c f}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 8 \, c d f^{2} x \sin\left(\frac{2 \, c f}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 4 \, c^{2} f^{2} \cos\left(\frac{2 \, c f}{d}\right) \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 4 i \, c^{2} f^{2} \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{2 \, c f}{d}\right) - 4 i \, c^{2} f^{2} \cos\left(\frac{2 \, c f}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 4 \, c^{2} f^{2} \sin\left(\frac{2 \, c f}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) - 2 i \, d^{2} f x \cos\left(2 \, f x\right) - 2 \, d^{2} f x \sin\left(2 \, f x\right) - 2 i \, c d f \cos\left(2 \, f x\right) - 2 \, c d f \sin\left(2 \, f x\right) + d^{2} \cos\left(2 \, f x\right) + d^{2} \cos\left(2 \, e\right) - i \, d^{2} \sin\left(2 \, f x\right) + i \, d^{2} \sin\left(2 \, e\right)}{4 \, a d^{5} x^{2} \cos\left(2 \, e\right) + 4 i \, a d^{5} x^{2} \sin\left(2 \, e\right) + 8 \, a c d^{4} x \cos\left(2 \, e\right) + 8 i \, a c d^{4} x \sin\left(2 \, e\right) + 4 \, a c^{2} d^{3} \cos\left(2 \, e\right) + 4 i \, a c^{2} d^{3} \sin\left(2 \, e\right)}"," ",0,"-(4*d^2*f^2*x^2*cos(2*c*f/d)*cos_integral(-2*(d*f*x + c*f)/d) + 4*I*d^2*f^2*x^2*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*c*f/d) - 4*I*d^2*f^2*x^2*cos(2*c*f/d)*sin_integral(2*(d*f*x + c*f)/d) + 4*d^2*f^2*x^2*sin(2*c*f/d)*sin_integral(2*(d*f*x + c*f)/d) + 8*c*d*f^2*x*cos(2*c*f/d)*cos_integral(-2*(d*f*x + c*f)/d) + 8*I*c*d*f^2*x*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*c*f/d) - 8*I*c*d*f^2*x*cos(2*c*f/d)*sin_integral(2*(d*f*x + c*f)/d) + 8*c*d*f^2*x*sin(2*c*f/d)*sin_integral(2*(d*f*x + c*f)/d) + 4*c^2*f^2*cos(2*c*f/d)*cos_integral(-2*(d*f*x + c*f)/d) + 4*I*c^2*f^2*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*c*f/d) - 4*I*c^2*f^2*cos(2*c*f/d)*sin_integral(2*(d*f*x + c*f)/d) + 4*c^2*f^2*sin(2*c*f/d)*sin_integral(2*(d*f*x + c*f)/d) - 2*I*d^2*f*x*cos(2*f*x) - 2*d^2*f*x*sin(2*f*x) - 2*I*c*d*f*cos(2*f*x) - 2*c*d*f*sin(2*f*x) + d^2*cos(2*f*x) + d^2*cos(2*e) - I*d^2*sin(2*f*x) + I*d^2*sin(2*e))/(4*a*d^5*x^2*cos(2*e) + 4*I*a*d^5*x^2*sin(2*e) + 8*a*c*d^4*x*cos(2*e) + 8*I*a*c*d^4*x*sin(2*e) + 4*a*c^2*d^3*cos(2*e) + 4*I*a*c^2*d^3*sin(2*e))","B",0
24,1,383,0,0.948082," ","integrate((d*x+c)^3/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\frac{{\left(32 \, d^{3} f^{4} x^{4} e^{\left(4 i \, f x + 4 i \, e\right)} + 128 \, c d^{2} f^{4} x^{3} e^{\left(4 i \, f x + 4 i \, e\right)} + 192 \, c^{2} d f^{4} x^{2} e^{\left(4 i \, f x + 4 i \, e\right)} + 128 i \, d^{3} f^{3} x^{3} e^{\left(2 i \, f x + 2 i \, e\right)} + 32 i \, d^{3} f^{3} x^{3} + 128 \, c^{3} f^{4} x e^{\left(4 i \, f x + 4 i \, e\right)} + 384 i \, c d^{2} f^{3} x^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 96 i \, c d^{2} f^{3} x^{2} + 384 i \, c^{2} d f^{3} x e^{\left(2 i \, f x + 2 i \, e\right)} + 192 \, d^{3} f^{2} x^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 96 i \, c^{2} d f^{3} x + 24 \, d^{3} f^{2} x^{2} + 128 i \, c^{3} f^{3} e^{\left(2 i \, f x + 2 i \, e\right)} + 384 \, c d^{2} f^{2} x e^{\left(2 i \, f x + 2 i \, e\right)} + 32 i \, c^{3} f^{3} + 48 \, c d^{2} f^{2} x + 192 \, c^{2} d f^{2} e^{\left(2 i \, f x + 2 i \, e\right)} - 192 i \, d^{3} f x e^{\left(2 i \, f x + 2 i \, e\right)} + 24 \, c^{2} d f^{2} - 12 i \, d^{3} f x - 192 i \, c d^{2} f e^{\left(2 i \, f x + 2 i \, e\right)} - 12 i \, c d^{2} f - 96 \, d^{3} e^{\left(2 i \, f x + 2 i \, e\right)} - 3 \, d^{3}\right)} e^{\left(-4 i \, f x - 4 i \, e\right)}}{512 \, a^{2} f^{4}}"," ",0,"1/512*(32*d^3*f^4*x^4*e^(4*I*f*x + 4*I*e) + 128*c*d^2*f^4*x^3*e^(4*I*f*x + 4*I*e) + 192*c^2*d*f^4*x^2*e^(4*I*f*x + 4*I*e) + 128*I*d^3*f^3*x^3*e^(2*I*f*x + 2*I*e) + 32*I*d^3*f^3*x^3 + 128*c^3*f^4*x*e^(4*I*f*x + 4*I*e) + 384*I*c*d^2*f^3*x^2*e^(2*I*f*x + 2*I*e) + 96*I*c*d^2*f^3*x^2 + 384*I*c^2*d*f^3*x*e^(2*I*f*x + 2*I*e) + 192*d^3*f^2*x^2*e^(2*I*f*x + 2*I*e) + 96*I*c^2*d*f^3*x + 24*d^3*f^2*x^2 + 128*I*c^3*f^3*e^(2*I*f*x + 2*I*e) + 384*c*d^2*f^2*x*e^(2*I*f*x + 2*I*e) + 32*I*c^3*f^3 + 48*c*d^2*f^2*x + 192*c^2*d*f^2*e^(2*I*f*x + 2*I*e) - 192*I*d^3*f*x*e^(2*I*f*x + 2*I*e) + 24*c^2*d*f^2 - 12*I*d^3*f*x - 192*I*c*d^2*f*e^(2*I*f*x + 2*I*e) - 12*I*c*d^2*f - 96*d^3*e^(2*I*f*x + 2*I*e) - 3*d^3)*e^(-4*I*f*x - 4*I*e)/(a^2*f^4)","A",0
25,1,227,0,1.054148," ","integrate((d*x+c)^2/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\frac{{\left(32 \, d^{2} f^{3} x^{3} e^{\left(4 i \, f x + 4 i \, e\right)} + 96 \, c d f^{3} x^{2} e^{\left(4 i \, f x + 4 i \, e\right)} + 96 \, c^{2} f^{3} x e^{\left(4 i \, f x + 4 i \, e\right)} + 96 i \, d^{2} f^{2} x^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 24 i \, d^{2} f^{2} x^{2} + 192 i \, c d f^{2} x e^{\left(2 i \, f x + 2 i \, e\right)} + 48 i \, c d f^{2} x + 96 i \, c^{2} f^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 96 \, d^{2} f x e^{\left(2 i \, f x + 2 i \, e\right)} + 24 i \, c^{2} f^{2} + 12 \, d^{2} f x + 96 \, c d f e^{\left(2 i \, f x + 2 i \, e\right)} + 12 \, c d f - 48 i \, d^{2} e^{\left(2 i \, f x + 2 i \, e\right)} - 3 i \, d^{2}\right)} e^{\left(-4 i \, f x - 4 i \, e\right)}}{384 \, a^{2} f^{3}}"," ",0,"1/384*(32*d^2*f^3*x^3*e^(4*I*f*x + 4*I*e) + 96*c*d*f^3*x^2*e^(4*I*f*x + 4*I*e) + 96*c^2*f^3*x*e^(4*I*f*x + 4*I*e) + 96*I*d^2*f^2*x^2*e^(2*I*f*x + 2*I*e) + 24*I*d^2*f^2*x^2 + 192*I*c*d*f^2*x*e^(2*I*f*x + 2*I*e) + 48*I*c*d*f^2*x + 96*I*c^2*f^2*e^(2*I*f*x + 2*I*e) + 96*d^2*f*x*e^(2*I*f*x + 2*I*e) + 24*I*c^2*f^2 + 12*d^2*f*x + 96*c*d*f*e^(2*I*f*x + 2*I*e) + 12*c*d*f - 48*I*d^2*e^(2*I*f*x + 2*I*e) - 3*I*d^2)*e^(-4*I*f*x - 4*I*e)/(a^2*f^3)","A",0
26,1,107,0,2.031767," ","integrate((d*x+c)/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\frac{{\left(8 \, d f^{2} x^{2} e^{\left(4 i \, f x + 4 i \, e\right)} + 16 \, c f^{2} x e^{\left(4 i \, f x + 4 i \, e\right)} + 16 i \, d f x e^{\left(2 i \, f x + 2 i \, e\right)} + 4 i \, d f x + 16 i \, c f e^{\left(2 i \, f x + 2 i \, e\right)} + 4 i \, c f + 8 \, d e^{\left(2 i \, f x + 2 i \, e\right)} + d\right)} e^{\left(-4 i \, f x - 4 i \, e\right)}}{64 \, a^{2} f^{2}}"," ",0,"1/64*(8*d*f^2*x^2*e^(4*I*f*x + 4*I*e) + 16*c*f^2*x*e^(4*I*f*x + 4*I*e) + 16*I*d*f*x*e^(2*I*f*x + 2*I*e) + 4*I*d*f*x + 16*I*c*f*e^(2*I*f*x + 2*I*e) + 4*I*c*f + 8*d*e^(2*I*f*x + 2*I*e) + d)*e^(-4*I*f*x - 4*I*e)/(a^2*f^2)","A",0
27,1,420,0,1.136204," ","integrate(1/(d*x+c)/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\frac{2 \, \cos\left(\frac{2 \, c f}{d}\right) \cos\left(2 \, e\right) \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + \cos\left(2 \, e\right)^{2} \log\left(d x + c\right) + 2 i \, \cos\left(2 \, e\right) \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{2 \, c f}{d}\right) + 2 i \, \cos\left(\frac{2 \, c f}{d}\right) \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(2 \, e\right) + 2 i \, \cos\left(2 \, e\right) \log\left(d x + c\right) \sin\left(2 \, e\right) - 2 \, \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{2 \, c f}{d}\right) \sin\left(2 \, e\right) - \log\left(d x + c\right) \sin\left(2 \, e\right)^{2} - 2 i \, \cos\left(\frac{2 \, c f}{d}\right) \cos\left(2 \, e\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 2 \, \cos\left(2 \, e\right) \sin\left(\frac{2 \, c f}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 2 \, \cos\left(\frac{2 \, c f}{d}\right) \sin\left(2 \, e\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 2 i \, \sin\left(\frac{2 \, c f}{d}\right) \sin\left(2 \, e\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + \cos\left(\frac{4 \, c f}{d}\right) \operatorname{Ci}\left(-\frac{4 \, {\left(d f x + c f\right)}}{d}\right) + i \, \operatorname{Ci}\left(-\frac{4 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{4 \, c f}{d}\right) - i \, \cos\left(\frac{4 \, c f}{d}\right) \operatorname{Si}\left(\frac{4 \, {\left(d f x + c f\right)}}{d}\right) + \sin\left(\frac{4 \, c f}{d}\right) \operatorname{Si}\left(\frac{4 \, {\left(d f x + c f\right)}}{d}\right)}{4 \, {\left(a^{2} d \cos\left(2 \, e\right)^{2} + 2 i \, a^{2} d \cos\left(2 \, e\right) \sin\left(2 \, e\right) - a^{2} d \sin\left(2 \, e\right)^{2}\right)}}"," ",0,"1/4*(2*cos(2*c*f/d)*cos(2*e)*cos_integral(-2*(d*f*x + c*f)/d) + cos(2*e)^2*log(d*x + c) + 2*I*cos(2*e)*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*c*f/d) + 2*I*cos(2*c*f/d)*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*e) + 2*I*cos(2*e)*log(d*x + c)*sin(2*e) - 2*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*c*f/d)*sin(2*e) - log(d*x + c)*sin(2*e)^2 - 2*I*cos(2*c*f/d)*cos(2*e)*sin_integral(2*(d*f*x + c*f)/d) + 2*cos(2*e)*sin(2*c*f/d)*sin_integral(2*(d*f*x + c*f)/d) + 2*cos(2*c*f/d)*sin(2*e)*sin_integral(2*(d*f*x + c*f)/d) + 2*I*sin(2*c*f/d)*sin(2*e)*sin_integral(2*(d*f*x + c*f)/d) + cos(4*c*f/d)*cos_integral(-4*(d*f*x + c*f)/d) + I*cos_integral(-4*(d*f*x + c*f)/d)*sin(4*c*f/d) - I*cos(4*c*f/d)*sin_integral(4*(d*f*x + c*f)/d) + sin(4*c*f/d)*sin_integral(4*(d*f*x + c*f)/d))/(a^2*d*cos(2*e)^2 + 2*I*a^2*d*cos(2*e)*sin(2*e) - a^2*d*sin(2*e)^2)","A",0
28,-1,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,1,573,0,2.325526," ","integrate((d*x+c)^3/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\frac{{\left(864 \, d^{3} f^{4} x^{4} e^{\left(6 i \, f x + 6 i \, e\right)} + 3456 \, c d^{2} f^{4} x^{3} e^{\left(6 i \, f x + 6 i \, e\right)} + 5184 \, c^{2} d f^{4} x^{2} e^{\left(6 i \, f x + 6 i \, e\right)} + 5184 i \, d^{3} f^{3} x^{3} e^{\left(4 i \, f x + 4 i \, e\right)} + 2592 i \, d^{3} f^{3} x^{3} e^{\left(2 i \, f x + 2 i \, e\right)} + 576 i \, d^{3} f^{3} x^{3} + 3456 \, c^{3} f^{4} x e^{\left(6 i \, f x + 6 i \, e\right)} + 15552 i \, c d^{2} f^{3} x^{2} e^{\left(4 i \, f x + 4 i \, e\right)} + 7776 i \, c d^{2} f^{3} x^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 1728 i \, c d^{2} f^{3} x^{2} + 15552 i \, c^{2} d f^{3} x e^{\left(4 i \, f x + 4 i \, e\right)} + 7776 \, d^{3} f^{2} x^{2} e^{\left(4 i \, f x + 4 i \, e\right)} + 7776 i \, c^{2} d f^{3} x e^{\left(2 i \, f x + 2 i \, e\right)} + 1944 \, d^{3} f^{2} x^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 1728 i \, c^{2} d f^{3} x + 288 \, d^{3} f^{2} x^{2} + 5184 i \, c^{3} f^{3} e^{\left(4 i \, f x + 4 i \, e\right)} + 15552 \, c d^{2} f^{2} x e^{\left(4 i \, f x + 4 i \, e\right)} + 2592 i \, c^{3} f^{3} e^{\left(2 i \, f x + 2 i \, e\right)} + 3888 \, c d^{2} f^{2} x e^{\left(2 i \, f x + 2 i \, e\right)} + 576 i \, c^{3} f^{3} + 576 \, c d^{2} f^{2} x + 7776 \, c^{2} d f^{2} e^{\left(4 i \, f x + 4 i \, e\right)} - 7776 i \, d^{3} f x e^{\left(4 i \, f x + 4 i \, e\right)} + 1944 \, c^{2} d f^{2} e^{\left(2 i \, f x + 2 i \, e\right)} - 972 i \, d^{3} f x e^{\left(2 i \, f x + 2 i \, e\right)} + 288 \, c^{2} d f^{2} - 96 i \, d^{3} f x - 7776 i \, c d^{2} f e^{\left(4 i \, f x + 4 i \, e\right)} - 972 i \, c d^{2} f e^{\left(2 i \, f x + 2 i \, e\right)} - 96 i \, c d^{2} f - 3888 \, d^{3} e^{\left(4 i \, f x + 4 i \, e\right)} - 243 \, d^{3} e^{\left(2 i \, f x + 2 i \, e\right)} - 16 \, d^{3}\right)} e^{\left(-6 i \, f x - 6 i \, e\right)}}{27648 \, a^{3} f^{4}}"," ",0,"1/27648*(864*d^3*f^4*x^4*e^(6*I*f*x + 6*I*e) + 3456*c*d^2*f^4*x^3*e^(6*I*f*x + 6*I*e) + 5184*c^2*d*f^4*x^2*e^(6*I*f*x + 6*I*e) + 5184*I*d^3*f^3*x^3*e^(4*I*f*x + 4*I*e) + 2592*I*d^3*f^3*x^3*e^(2*I*f*x + 2*I*e) + 576*I*d^3*f^3*x^3 + 3456*c^3*f^4*x*e^(6*I*f*x + 6*I*e) + 15552*I*c*d^2*f^3*x^2*e^(4*I*f*x + 4*I*e) + 7776*I*c*d^2*f^3*x^2*e^(2*I*f*x + 2*I*e) + 1728*I*c*d^2*f^3*x^2 + 15552*I*c^2*d*f^3*x*e^(4*I*f*x + 4*I*e) + 7776*d^3*f^2*x^2*e^(4*I*f*x + 4*I*e) + 7776*I*c^2*d*f^3*x*e^(2*I*f*x + 2*I*e) + 1944*d^3*f^2*x^2*e^(2*I*f*x + 2*I*e) + 1728*I*c^2*d*f^3*x + 288*d^3*f^2*x^2 + 5184*I*c^3*f^3*e^(4*I*f*x + 4*I*e) + 15552*c*d^2*f^2*x*e^(4*I*f*x + 4*I*e) + 2592*I*c^3*f^3*e^(2*I*f*x + 2*I*e) + 3888*c*d^2*f^2*x*e^(2*I*f*x + 2*I*e) + 576*I*c^3*f^3 + 576*c*d^2*f^2*x + 7776*c^2*d*f^2*e^(4*I*f*x + 4*I*e) - 7776*I*d^3*f*x*e^(4*I*f*x + 4*I*e) + 1944*c^2*d*f^2*e^(2*I*f*x + 2*I*e) - 972*I*d^3*f*x*e^(2*I*f*x + 2*I*e) + 288*c^2*d*f^2 - 96*I*d^3*f*x - 7776*I*c*d^2*f*e^(4*I*f*x + 4*I*e) - 972*I*c*d^2*f*e^(2*I*f*x + 2*I*e) - 96*I*c*d^2*f - 3888*d^3*e^(4*I*f*x + 4*I*e) - 243*d^3*e^(2*I*f*x + 2*I*e) - 16*d^3)*e^(-6*I*f*x - 6*I*e)/(a^3*f^4)","A",0
30,1,331,0,2.564064," ","integrate((d*x+c)^2/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\frac{{\left(288 \, d^{2} f^{3} x^{3} e^{\left(6 i \, f x + 6 i \, e\right)} + 864 \, c d f^{3} x^{2} e^{\left(6 i \, f x + 6 i \, e\right)} + 864 \, c^{2} f^{3} x e^{\left(6 i \, f x + 6 i \, e\right)} + 1296 i \, d^{2} f^{2} x^{2} e^{\left(4 i \, f x + 4 i \, e\right)} + 648 i \, d^{2} f^{2} x^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 144 i \, d^{2} f^{2} x^{2} + 2592 i \, c d f^{2} x e^{\left(4 i \, f x + 4 i \, e\right)} + 1296 i \, c d f^{2} x e^{\left(2 i \, f x + 2 i \, e\right)} + 288 i \, c d f^{2} x + 1296 i \, c^{2} f^{2} e^{\left(4 i \, f x + 4 i \, e\right)} + 1296 \, d^{2} f x e^{\left(4 i \, f x + 4 i \, e\right)} + 648 i \, c^{2} f^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 324 \, d^{2} f x e^{\left(2 i \, f x + 2 i \, e\right)} + 144 i \, c^{2} f^{2} + 48 \, d^{2} f x + 1296 \, c d f e^{\left(4 i \, f x + 4 i \, e\right)} + 324 \, c d f e^{\left(2 i \, f x + 2 i \, e\right)} + 48 \, c d f - 648 i \, d^{2} e^{\left(4 i \, f x + 4 i \, e\right)} - 81 i \, d^{2} e^{\left(2 i \, f x + 2 i \, e\right)} - 8 i \, d^{2}\right)} e^{\left(-6 i \, f x - 6 i \, e\right)}}{6912 \, a^{3} f^{3}}"," ",0,"1/6912*(288*d^2*f^3*x^3*e^(6*I*f*x + 6*I*e) + 864*c*d*f^3*x^2*e^(6*I*f*x + 6*I*e) + 864*c^2*f^3*x*e^(6*I*f*x + 6*I*e) + 1296*I*d^2*f^2*x^2*e^(4*I*f*x + 4*I*e) + 648*I*d^2*f^2*x^2*e^(2*I*f*x + 2*I*e) + 144*I*d^2*f^2*x^2 + 2592*I*c*d*f^2*x*e^(4*I*f*x + 4*I*e) + 1296*I*c*d*f^2*x*e^(2*I*f*x + 2*I*e) + 288*I*c*d*f^2*x + 1296*I*c^2*f^2*e^(4*I*f*x + 4*I*e) + 1296*d^2*f*x*e^(4*I*f*x + 4*I*e) + 648*I*c^2*f^2*e^(2*I*f*x + 2*I*e) + 324*d^2*f*x*e^(2*I*f*x + 2*I*e) + 144*I*c^2*f^2 + 48*d^2*f*x + 1296*c*d*f*e^(4*I*f*x + 4*I*e) + 324*c*d*f*e^(2*I*f*x + 2*I*e) + 48*c*d*f - 648*I*d^2*e^(4*I*f*x + 4*I*e) - 81*I*d^2*e^(2*I*f*x + 2*I*e) - 8*I*d^2)*e^(-6*I*f*x - 6*I*e)/(a^3*f^3)","A",0
31,1,151,0,2.128571," ","integrate((d*x+c)/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\frac{{\left(72 \, d f^{2} x^{2} e^{\left(6 i \, f x + 6 i \, e\right)} + 144 \, c f^{2} x e^{\left(6 i \, f x + 6 i \, e\right)} + 216 i \, d f x e^{\left(4 i \, f x + 4 i \, e\right)} + 108 i \, d f x e^{\left(2 i \, f x + 2 i \, e\right)} + 24 i \, d f x + 216 i \, c f e^{\left(4 i \, f x + 4 i \, e\right)} + 108 i \, c f e^{\left(2 i \, f x + 2 i \, e\right)} + 24 i \, c f + 108 \, d e^{\left(4 i \, f x + 4 i \, e\right)} + 27 \, d e^{\left(2 i \, f x + 2 i \, e\right)} + 4 \, d\right)} e^{\left(-6 i \, f x - 6 i \, e\right)}}{1152 \, a^{3} f^{2}}"," ",0,"1/1152*(72*d*f^2*x^2*e^(6*I*f*x + 6*I*e) + 144*c*f^2*x*e^(6*I*f*x + 6*I*e) + 216*I*d*f*x*e^(4*I*f*x + 4*I*e) + 108*I*d*f*x*e^(2*I*f*x + 2*I*e) + 24*I*d*f*x + 216*I*c*f*e^(4*I*f*x + 4*I*e) + 108*I*c*f*e^(2*I*f*x + 2*I*e) + 24*I*c*f + 108*d*e^(4*I*f*x + 4*I*e) + 27*d*e^(2*I*f*x + 2*I*e) + 4*d)*e^(-6*I*f*x - 6*I*e)/(a^3*f^2)","A",0
32,1,846,0,1.464207," ","integrate(1/(d*x+c)/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\frac{3 \, \cos\left(\frac{2 \, c f}{d}\right) \cos\left(2 \, e\right)^{2} \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + \cos\left(2 \, e\right)^{3} \log\left(d x + c\right) + 3 i \, \cos\left(2 \, e\right)^{2} \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{2 \, c f}{d}\right) + 6 i \, \cos\left(\frac{2 \, c f}{d}\right) \cos\left(2 \, e\right) \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(2 \, e\right) + 3 i \, \cos\left(2 \, e\right)^{2} \log\left(d x + c\right) \sin\left(2 \, e\right) - 6 \, \cos\left(2 \, e\right) \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{2 \, c f}{d}\right) \sin\left(2 \, e\right) - 3 \, \cos\left(\frac{2 \, c f}{d}\right) \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(2 \, e\right)^{2} - 3 \, \cos\left(2 \, e\right) \log\left(d x + c\right) \sin\left(2 \, e\right)^{2} - 3 i \, \operatorname{Ci}\left(-\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{2 \, c f}{d}\right) \sin\left(2 \, e\right)^{2} - i \, \log\left(d x + c\right) \sin\left(2 \, e\right)^{3} - 3 i \, \cos\left(\frac{2 \, c f}{d}\right) \cos\left(2 \, e\right)^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 3 \, \cos\left(2 \, e\right)^{2} \sin\left(\frac{2 \, c f}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 6 \, \cos\left(\frac{2 \, c f}{d}\right) \cos\left(2 \, e\right) \sin\left(2 \, e\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 6 i \, \cos\left(2 \, e\right) \sin\left(\frac{2 \, c f}{d}\right) \sin\left(2 \, e\right) \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 3 i \, \cos\left(\frac{2 \, c f}{d}\right) \sin\left(2 \, e\right)^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) - 3 \, \sin\left(\frac{2 \, c f}{d}\right) \sin\left(2 \, e\right)^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) + 3 \, \cos\left(\frac{4 \, c f}{d}\right) \cos\left(2 \, e\right) \operatorname{Ci}\left(-\frac{4 \, {\left(d f x + c f\right)}}{d}\right) + 3 i \, \cos\left(2 \, e\right) \operatorname{Ci}\left(-\frac{4 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{4 \, c f}{d}\right) + 3 i \, \cos\left(\frac{4 \, c f}{d}\right) \operatorname{Ci}\left(-\frac{4 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(2 \, e\right) - 3 \, \operatorname{Ci}\left(-\frac{4 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{4 \, c f}{d}\right) \sin\left(2 \, e\right) - 3 i \, \cos\left(\frac{4 \, c f}{d}\right) \cos\left(2 \, e\right) \operatorname{Si}\left(\frac{4 \, {\left(d f x + c f\right)}}{d}\right) + 3 \, \cos\left(2 \, e\right) \sin\left(\frac{4 \, c f}{d}\right) \operatorname{Si}\left(\frac{4 \, {\left(d f x + c f\right)}}{d}\right) + 3 \, \cos\left(\frac{4 \, c f}{d}\right) \sin\left(2 \, e\right) \operatorname{Si}\left(\frac{4 \, {\left(d f x + c f\right)}}{d}\right) + 3 i \, \sin\left(\frac{4 \, c f}{d}\right) \sin\left(2 \, e\right) \operatorname{Si}\left(\frac{4 \, {\left(d f x + c f\right)}}{d}\right) + \cos\left(\frac{6 \, c f}{d}\right) \operatorname{Ci}\left(-\frac{6 \, {\left(d f x + c f\right)}}{d}\right) + i \, \operatorname{Ci}\left(-\frac{6 \, {\left(d f x + c f\right)}}{d}\right) \sin\left(\frac{6 \, c f}{d}\right) - i \, \cos\left(\frac{6 \, c f}{d}\right) \operatorname{Si}\left(\frac{6 \, {\left(d f x + c f\right)}}{d}\right) + \sin\left(\frac{6 \, c f}{d}\right) \operatorname{Si}\left(\frac{6 \, {\left(d f x + c f\right)}}{d}\right)}{8 \, a^{3} d \cos\left(2 \, e\right)^{3} + 24 i \, a^{3} d \cos\left(2 \, e\right)^{2} \sin\left(2 \, e\right) - 24 \, a^{3} d \cos\left(2 \, e\right) \sin\left(2 \, e\right)^{2} - 8 i \, a^{3} d \sin\left(2 \, e\right)^{3}}"," ",0,"(3*cos(2*c*f/d)*cos(2*e)^2*cos_integral(-2*(d*f*x + c*f)/d) + cos(2*e)^3*log(d*x + c) + 3*I*cos(2*e)^2*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*c*f/d) + 6*I*cos(2*c*f/d)*cos(2*e)*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*e) + 3*I*cos(2*e)^2*log(d*x + c)*sin(2*e) - 6*cos(2*e)*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*c*f/d)*sin(2*e) - 3*cos(2*c*f/d)*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*e)^2 - 3*cos(2*e)*log(d*x + c)*sin(2*e)^2 - 3*I*cos_integral(-2*(d*f*x + c*f)/d)*sin(2*c*f/d)*sin(2*e)^2 - I*log(d*x + c)*sin(2*e)^3 - 3*I*cos(2*c*f/d)*cos(2*e)^2*sin_integral(2*(d*f*x + c*f)/d) + 3*cos(2*e)^2*sin(2*c*f/d)*sin_integral(2*(d*f*x + c*f)/d) + 6*cos(2*c*f/d)*cos(2*e)*sin(2*e)*sin_integral(2*(d*f*x + c*f)/d) + 6*I*cos(2*e)*sin(2*c*f/d)*sin(2*e)*sin_integral(2*(d*f*x + c*f)/d) + 3*I*cos(2*c*f/d)*sin(2*e)^2*sin_integral(2*(d*f*x + c*f)/d) - 3*sin(2*c*f/d)*sin(2*e)^2*sin_integral(2*(d*f*x + c*f)/d) + 3*cos(4*c*f/d)*cos(2*e)*cos_integral(-4*(d*f*x + c*f)/d) + 3*I*cos(2*e)*cos_integral(-4*(d*f*x + c*f)/d)*sin(4*c*f/d) + 3*I*cos(4*c*f/d)*cos_integral(-4*(d*f*x + c*f)/d)*sin(2*e) - 3*cos_integral(-4*(d*f*x + c*f)/d)*sin(4*c*f/d)*sin(2*e) - 3*I*cos(4*c*f/d)*cos(2*e)*sin_integral(4*(d*f*x + c*f)/d) + 3*cos(2*e)*sin(4*c*f/d)*sin_integral(4*(d*f*x + c*f)/d) + 3*cos(4*c*f/d)*sin(2*e)*sin_integral(4*(d*f*x + c*f)/d) + 3*I*sin(4*c*f/d)*sin(2*e)*sin_integral(4*(d*f*x + c*f)/d) + cos(6*c*f/d)*cos_integral(-6*(d*f*x + c*f)/d) + I*cos_integral(-6*(d*f*x + c*f)/d)*sin(6*c*f/d) - I*cos(6*c*f/d)*sin_integral(6*(d*f*x + c*f)/d) + sin(6*c*f/d)*sin_integral(6*(d*f*x + c*f)/d))/(8*a^3*d*cos(2*e)^3 + 24*I*a^3*d*cos(2*e)^2*sin(2*e) - 24*a^3*d*cos(2*e)*sin(2*e)^2 - 8*I*a^3*d*sin(2*e)^3)","B",0
33,-1,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\int {\left(i \, a \tan\left(f x + e\right) + a\right)}^{2} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((I*a*tan(f*x + e) + a)^2*(d*x + c)^m, x)","F",0
35,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\int {\left(i \, a \tan\left(f x + e\right) + a\right)} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((I*a*tan(f*x + e) + a)*(d*x + c)^m, x)","F",0
36,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{i \, a \tan\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^m/(I*a*tan(f*x + e) + a), x)","F",0
37,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^m/(I*a*tan(f*x + e) + a)^2, x)","F",0
38,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*x + c)^m/(I*a*tan(f*x + e) + a)^3, x)","F",0
39,0,0,0,0.000000," ","integrate((d*x+c)^3*(a+b*tan(f*x+e)),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} {\left(b \tan\left(f x + e\right) + a\right)}\,{d x}"," ",0,"integrate((d*x + c)^3*(b*tan(f*x + e) + a), x)","F",0
40,0,0,0,0.000000," ","integrate((d*x+c)^2*(a+b*tan(f*x+e)),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} {\left(b \tan\left(f x + e\right) + a\right)}\,{d x}"," ",0,"integrate((d*x + c)^2*(b*tan(f*x + e) + a), x)","F",0
41,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*tan(f*x+e)),x, algorithm=""giac"")","\int {\left(d x + c\right)} {\left(b \tan\left(f x + e\right) + a\right)}\,{d x}"," ",0,"integrate((d*x + c)*(b*tan(f*x + e) + a), x)","F",0
42,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))/(d*x+c),x, algorithm=""giac"")","\int \frac{b \tan\left(f x + e\right) + a}{d x + c}\,{d x}"," ",0,"integrate((b*tan(f*x + e) + a)/(d*x + c), x)","F",0
43,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{b \tan\left(f x + e\right) + a}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*tan(f*x + e) + a)/(d*x + c)^2, x)","F",0
44,0,0,0,0.000000," ","integrate((d*x+c)^3*(a+b*tan(f*x+e))^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} {\left(b \tan\left(f x + e\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*(b*tan(f*x + e) + a)^2, x)","F",0
45,0,0,0,0.000000," ","integrate((d*x+c)^2*(a+b*tan(f*x+e))^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} {\left(b \tan\left(f x + e\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*(b*tan(f*x + e) + a)^2, x)","F",0
46,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*tan(f*x+e))^2,x, algorithm=""giac"")","\int {\left(d x + c\right)} {\left(b \tan\left(f x + e\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((d*x + c)*(b*tan(f*x + e) + a)^2, x)","F",0
47,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))^2/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(b \tan\left(f x + e\right) + a\right)}^{2}}{d x + c}\,{d x}"," ",0,"integrate((b*tan(f*x + e) + a)^2/(d*x + c), x)","F",0
48,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left(b \tan\left(f x + e\right) + a\right)}^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*tan(f*x + e) + a)^2/(d*x + c)^2, x)","F",0
49,0,0,0,0.000000," ","integrate((d*x+c)^3*(a+b*tan(f*x+e))^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} {\left(b \tan\left(f x + e\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((d*x + c)^3*(b*tan(f*x + e) + a)^3, x)","F",0
50,0,0,0,0.000000," ","integrate((d*x+c)^2*(a+b*tan(f*x+e))^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} {\left(b \tan\left(f x + e\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((d*x + c)^2*(b*tan(f*x + e) + a)^3, x)","F",0
51,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*tan(f*x+e))^3,x, algorithm=""giac"")","\int {\left(d x + c\right)} {\left(b \tan\left(f x + e\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((d*x + c)*(b*tan(f*x + e) + a)^3, x)","F",0
52,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))^3/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(b \tan\left(f x + e\right) + a\right)}^{3}}{d x + c}\,{d x}"," ",0,"integrate((b*tan(f*x + e) + a)^3/(d*x + c), x)","F",0
53,0,0,0,0.000000," ","integrate((a+b*tan(f*x+e))^3/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left(b \tan\left(f x + e\right) + a\right)}^{3}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((b*tan(f*x + e) + a)^3/(d*x + c)^2, x)","F",0
54,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*tan(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{b \tan\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^3/(b*tan(f*x + e) + a), x)","F",0
55,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*tan(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{b \tan\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^2/(b*tan(f*x + e) + a), x)","F",0
56,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*tan(f*x+e)),x, algorithm=""giac"")","\int \frac{d x + c}{b \tan\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)/(b*tan(f*x + e) + a), x)","F",0
57,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*tan(f*x+e)),x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)} {\left(b \tan\left(f x + e\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(b*tan(f*x + e) + a)), x)","F",0
58,-1,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*tan(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{{\left(b \tan\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^3/(b*tan(f*x + e) + a)^2, x)","F",0
60,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{{\left(b \tan\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^2/(b*tan(f*x + e) + a)^2, x)","F",0
61,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{d x + c}{{\left(b \tan\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)/(b*tan(f*x + e) + a)^2, x)","F",0
62,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)} {\left(b \tan\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(b*tan(f*x + e) + a)^2), x)","F",0
63,-1,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*tan(f*x+e))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
