1,1,171,0,0.315225," ","integrate((d*x+c)^4*sin(b*x+a),x, algorithm=""giac"")","-\frac{{\left(b^{4} d^{4} x^{4} + 4 \, b^{4} c d^{3} x^{3} + 6 \, b^{4} c^{2} d^{2} x^{2} + 4 \, b^{4} c^{3} d x + b^{4} c^{4} - 12 \, b^{2} d^{4} x^{2} - 24 \, b^{2} c d^{3} x - 12 \, b^{2} c^{2} d^{2} + 24 \, d^{4}\right)} \cos\left(b x + a\right)}{b^{5}} + \frac{4 \, {\left(b^{3} d^{4} x^{3} + 3 \, b^{3} c d^{3} x^{2} + 3 \, b^{3} c^{2} d^{2} x + b^{3} c^{3} d - 6 \, b d^{4} x - 6 \, b c d^{3}\right)} \sin\left(b x + a\right)}{b^{5}}"," ",0,"-(b^4*d^4*x^4 + 4*b^4*c*d^3*x^3 + 6*b^4*c^2*d^2*x^2 + 4*b^4*c^3*d*x + b^4*c^4 - 12*b^2*d^4*x^2 - 24*b^2*c*d^3*x - 12*b^2*c^2*d^2 + 24*d^4)*cos(b*x + a)/b^5 + 4*(b^3*d^4*x^3 + 3*b^3*c*d^3*x^2 + 3*b^3*c^2*d^2*x + b^3*c^3*d - 6*b*d^4*x - 6*b*c*d^3)*sin(b*x + a)/b^5","A",0
2,1,111,0,1.610868," ","integrate((d*x+c)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{{\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + b^{3} c^{3} - 6 \, b d^{3} x - 6 \, b c d^{2}\right)} \cos\left(b x + a\right)}{b^{4}} + \frac{3 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \sin\left(b x + a\right)}{b^{4}}"," ",0,"-(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + b^3*c^3 - 6*b*d^3*x - 6*b*c*d^2)*cos(b*x + a)/b^4 + 3*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*sin(b*x + a)/b^4","A",0
3,1,65,0,1.045132," ","integrate((d*x+c)^2*sin(b*x+a),x, algorithm=""giac"")","-\frac{{\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}\right)} \cos\left(b x + a\right)}{b^{3}} + \frac{2 \, {\left(b d^{2} x + b c d\right)} \sin\left(b x + a\right)}{b^{3}}"," ",0,"-(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)*cos(b*x + a)/b^3 + 2*(b*d^2*x + b*c*d)*sin(b*x + a)/b^3","A",0
4,1,31,0,1.882657," ","integrate((d*x+c)*sin(b*x+a),x, algorithm=""giac"")","-\frac{{\left(b d x + b c\right)} \cos\left(b x + a\right)}{b^{2}} + \frac{d \sin\left(b x + a\right)}{b^{2}}"," ",0,"-(b*d*x + b*c)*cos(b*x + a)/b^2 + d*sin(b*x + a)/b^2","A",0
5,1,597,0,2.992473," ","integrate(sin(b*x+a)/(d*x+c),x, algorithm=""giac"")","\frac{\Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 8 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right) + \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) - \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) + 2 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right)}{2 \, {\left(d \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + d \tan\left(\frac{1}{2} \, a\right)^{2} + d \tan\left(\frac{b c}{2 \, d}\right)^{2} + d\right)}}"," ",0,"1/2*(imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d) + 2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d) - 2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 - 2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 - imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2 + imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2 - 2*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2 + 4*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) - 4*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) + 8*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)*tan(1/2*b*c/d) - imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*c/d)^2 + imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*c/d)^2 - 2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*c/d)^2 + 2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a) + 2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a) - 2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*c/d) - 2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*c/d) + imag_part(cos_integral(b*x + b*c/d)) - imag_part(cos_integral(-b*x - b*c/d)) + 2*sin_integral((b*d*x + b*c)/d))/(d*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + d*tan(1/2*a)^2 + d*tan(1/2*b*c/d)^2 + d)","C",0
6,1,521,0,1.956679," ","integrate(sin(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} \cos\left(-\frac{b c - a d}{d}\right) \operatorname{Ci}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) + b^{3} c \cos\left(-\frac{b c - a d}{d}\right) \operatorname{Ci}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) - a b^{2} d \cos\left(-\frac{b c - a d}{d}\right) \operatorname{Ci}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) + {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} \sin\left(-\frac{b c - a d}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) + b^{3} c \sin\left(-\frac{b c - a d}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) - a b^{2} d \sin\left(-\frac{b c - a d}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) + b^{2} d \sin\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)\right)} d^{2}}{{\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} d^{4} + b c d^{4} - a d^{5}\right)} b}"," ",0,"((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*cos(-(b*c - a*d)/d)*cos_integral(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) + b^3*c*cos(-(b*c - a*d)/d)*cos_integral(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) - a*b^2*d*cos(-(b*c - a*d)/d)*cos_integral(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) + (d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*sin(-(b*c - a*d)/d)*sin_integral(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) + b^3*c*sin(-(b*c - a*d)/d)*sin_integral(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) - a*b^2*d*sin(-(b*c - a*d)/d)*sin_integral(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) + b^2*d*sin(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d))*d^2/(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*d^4 + b*c*d^4 - a*d^5)*b)","B",0
7,1,5727,0,1.303980," ","integrate(sin(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","-\frac{b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, b^{2} c d x \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - 4 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 8 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + b^{2} c^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} c^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 4 \, b^{2} c d x \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 8 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - 8 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 16 \, b^{2} c d x \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, b^{2} c d x \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, b^{2} c d x \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} - b^{2} c^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b^{2} c^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 4 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - 4 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 8 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 4 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - 4 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 8 \, b^{2} c^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - b^{2} c^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} c^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + b^{2} c^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} c^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 4 \, b^{2} c d x \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 4 \, b^{2} c d x \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right) - 2 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right) - 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 8 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - 8 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 16 \, b^{2} c d x \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, b^{2} c d x \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 8 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) - b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) + 2 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) + b^{2} c^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b^{2} c^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) - b^{2} c^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b^{2} c^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right) - 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right) + 4 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - 4 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 8 \, b^{2} c^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - b^{2} c^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b^{2} c^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 8 \, b c d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, d^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, b c d \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, d^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) - 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) + 4 \, b^{2} c d x \operatorname{Si}\left(\frac{b d x + b c}{d}\right) - 2 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) - 8 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right) - 2 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right) + 2 \, b d^{2} x \tan\left(\frac{b c}{2 \, d}\right)^{2} + b^{2} c^{2} \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) - b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) + 2 \, b^{2} c^{2} \operatorname{Si}\left(\frac{b d x + b c}{d}\right) - 2 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{2} - 8 \, b c d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 4 \, d^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 2 \, b c d \tan\left(\frac{1}{2} \, a\right)^{2} - 4 \, d^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b c d \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, d^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, d^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, b d^{2} x + 2 \, b c d + 4 \, d^{2} \tan\left(\frac{1}{2} \, b x\right) + 4 \, d^{2} \tan\left(\frac{1}{2} \, a\right)}{4 \, {\left(d^{5} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + d^{5} x^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{b c}{2 \, d}\right)^{2} + d^{5} x^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + c^{2} d^{3} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"-1/4*(b^2*d^2*x^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - b^2*d^2*x^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*b^2*d^2*x^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*b^2*d^2*x^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d) + 2*b^2*d^2*x^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d) - 2*b^2*d^2*x^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d)^2 - 2*b^2*d^2*x^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d)^2 + 2*b^2*c*d*x*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - 2*b^2*c*d*x*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 4*b^2*c*d*x*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - b^2*d^2*x^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2 + b^2*d^2*x^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*b^2*d^2*x^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*a)^2 + 4*b^2*d^2*x^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d) - 4*b^2*d^2*x^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d) + 8*b^2*d^2*x^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d) + 4*b^2*c*d*x*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d) + 4*b^2*c*d*x*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d) - b^2*d^2*x^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 + b^2*d^2*x^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 - 2*b^2*d^2*x^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 - 4*b^2*c*d*x*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d)^2 - 4*b^2*c*d*x*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d)^2 + b^2*d^2*x^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - b^2*d^2*x^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*b^2*d^2*x^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + b^2*c^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - b^2*c^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*b^2*c^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*b^2*d^2*x^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a) + 2*b^2*d^2*x^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a) - 2*b^2*c*d*x*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*b^2*c*d*x*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2 - 4*b^2*c*d*x*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*b^2*d^2*x^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d) - 2*b^2*d^2*x^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d) + 8*b^2*c*d*x*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d) - 8*b^2*c*d*x*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d) + 16*b^2*c*d*x*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d) + 2*b^2*d^2*x^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d) + 2*b^2*d^2*x^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d) + 2*b^2*c^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d) + 2*b^2*c^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d) - 2*b^2*c*d*x*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 + 2*b^2*c*d*x*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 - 4*b^2*c*d*x*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 - 2*b^2*d^2*x^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 - 2*b^2*d^2*x^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 - 2*b^2*c^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d)^2 - 2*b^2*c^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d)^2 + 2*b^2*c*d*x*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - 2*b^2*c*d*x*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 4*b^2*c*d*x*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*b*d^2*x*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + b^2*d^2*x^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2 - b^2*d^2*x^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2 + 2*b^2*d^2*x^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2 + 4*b^2*c*d*x*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a) + 4*b^2*c*d*x*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a) - b^2*d^2*x^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2 + b^2*d^2*x^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2 - 2*b^2*d^2*x^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2 - b^2*c^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2 + b^2*c^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*b^2*c^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*a)^2 - 4*b^2*c*d*x*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d) - 4*b^2*c*d*x*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d) + 4*b^2*d^2*x^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) - 4*b^2*d^2*x^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) + 8*b^2*d^2*x^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)*tan(1/2*b*c/d) + 4*b^2*c^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d) - 4*b^2*c^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d) + 8*b^2*c^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d) + 4*b^2*c*d*x*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d) + 4*b^2*c*d*x*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d) - b^2*d^2*x^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*c/d)^2 + b^2*d^2*x^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*c/d)^2 - 2*b^2*d^2*x^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*c/d)^2 - b^2*c^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 + b^2*c^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 - 2*b^2*c^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 - 4*b^2*c*d*x*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 - 4*b^2*c*d*x*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 + b^2*c^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - b^2*c^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*b^2*c^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*b*c*d*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*b^2*c*d*x*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2 - 2*b^2*c*d*x*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2 + 4*b^2*c*d*x*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2 + 2*b^2*d^2*x^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a) + 2*b^2*d^2*x^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a) + 2*b^2*c^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*a) + 2*b^2*c^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*a) - 2*b^2*c*d*x*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2 + 2*b^2*c*d*x*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2 - 4*b^2*c*d*x*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2 + 2*b*d^2*x*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*b^2*d^2*x^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*c/d) - 2*b^2*d^2*x^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*c/d) - 2*b^2*c^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d) - 2*b^2*c^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2*tan(1/2*b*c/d) + 8*b^2*c*d*x*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) - 8*b^2*c*d*x*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) + 16*b^2*c*d*x*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)*tan(1/2*b*c/d) + 2*b^2*c^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d) + 2*b^2*c^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d) - 2*b^2*c*d*x*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*c/d)^2 + 2*b^2*c*d*x*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*c/d)^2 - 4*b^2*c*d*x*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*c/d)^2 - 2*b*d^2*x*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 - 2*b^2*c^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 - 2*b^2*c^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 - 8*b*d^2*x*tan(1/2*b*x)*tan(1/2*a)*tan(1/2*b*c/d)^2 - 2*b*d^2*x*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + b^2*d^2*x^2*imag_part(cos_integral(b*x + b*c/d)) - b^2*d^2*x^2*imag_part(cos_integral(-b*x - b*c/d)) + 2*b^2*d^2*x^2*sin_integral((b*d*x + b*c)/d) + b^2*c^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*x)^2 - b^2*c^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*x)^2 + 2*b^2*c^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*x)^2 + 4*b^2*c*d*x*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a) + 4*b^2*c*d*x*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a) - b^2*c^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2 + b^2*c^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2 - 2*b^2*c^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2 + 2*b*c*d*tan(1/2*b*x)^2*tan(1/2*a)^2 - 4*b^2*c*d*x*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*c/d) - 4*b^2*c*d*x*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*c/d) + 4*b^2*c^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) - 4*b^2*c^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) + 8*b^2*c^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)*tan(1/2*b*c/d) - b^2*c^2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*c/d)^2 + b^2*c^2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*c/d)^2 - 2*b^2*c^2*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*c/d)^2 - 2*b*c*d*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 - 8*b*c*d*tan(1/2*b*x)*tan(1/2*a)*tan(1/2*b*c/d)^2 - 4*d^2*tan(1/2*b*x)^2*tan(1/2*a)*tan(1/2*b*c/d)^2 - 2*b*c*d*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - 4*d^2*tan(1/2*b*x)*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*b^2*c*d*x*imag_part(cos_integral(b*x + b*c/d)) - 2*b^2*c*d*x*imag_part(cos_integral(-b*x - b*c/d)) + 4*b^2*c*d*x*sin_integral((b*d*x + b*c)/d) - 2*b*d^2*x*tan(1/2*b*x)^2 + 2*b^2*c^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a) + 2*b^2*c^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a) - 8*b*d^2*x*tan(1/2*b*x)*tan(1/2*a) - 2*b*d^2*x*tan(1/2*a)^2 - 2*b^2*c^2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*c/d) - 2*b^2*c^2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*c/d) + 2*b*d^2*x*tan(1/2*b*c/d)^2 + b^2*c^2*imag_part(cos_integral(b*x + b*c/d)) - b^2*c^2*imag_part(cos_integral(-b*x - b*c/d)) + 2*b^2*c^2*sin_integral((b*d*x + b*c)/d) - 2*b*c*d*tan(1/2*b*x)^2 - 8*b*c*d*tan(1/2*b*x)*tan(1/2*a) - 4*d^2*tan(1/2*b*x)^2*tan(1/2*a) - 2*b*c*d*tan(1/2*a)^2 - 4*d^2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*b*c*d*tan(1/2*b*c/d)^2 + 4*d^2*tan(1/2*b*x)*tan(1/2*b*c/d)^2 + 4*d^2*tan(1/2*a)*tan(1/2*b*c/d)^2 + 2*b*d^2*x + 2*b*c*d + 4*d^2*tan(1/2*b*x) + 4*d^2*tan(1/2*a))/(d^5*x^2*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*c*d^4*x*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + d^5*x^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + d^5*x^2*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 + d^5*x^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + c^2*d^3*tan(1/2*b*x)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*c*d^4*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*c*d^4*x*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 + 2*c*d^4*x*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + d^5*x^2*tan(1/2*b*x)^2 + d^5*x^2*tan(1/2*a)^2 + c^2*d^3*tan(1/2*b*x)^2*tan(1/2*a)^2 + d^5*x^2*tan(1/2*b*c/d)^2 + c^2*d^3*tan(1/2*b*x)^2*tan(1/2*b*c/d)^2 + c^2*d^3*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*c*d^4*x*tan(1/2*b*x)^2 + 2*c*d^4*x*tan(1/2*a)^2 + 2*c*d^4*x*tan(1/2*b*c/d)^2 + d^5*x^2 + c^2*d^3*tan(1/2*b*x)^2 + c^2*d^3*tan(1/2*a)^2 + c^2*d^3*tan(1/2*b*c/d)^2 + 2*c*d^4*x + c^2*d^3)","C",0
8,1,222,0,0.367352," ","integrate((d*x+c)^4*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{10} \, d^{4} x^{5} + \frac{1}{2} \, c d^{3} x^{4} + c^{2} d^{2} x^{3} + c^{3} d x^{2} + \frac{1}{2} \, c^{4} x - \frac{{\left(2 \, b^{3} d^{4} x^{3} + 6 \, b^{3} c d^{3} x^{2} + 6 \, b^{3} c^{2} d^{2} x + 2 \, b^{3} c^{3} d - 3 \, b d^{4} x - 3 \, b c d^{3}\right)} \cos\left(2 \, b x + 2 \, a\right)}{4 \, b^{5}} - \frac{{\left(2 \, b^{4} d^{4} x^{4} + 8 \, b^{4} c d^{3} x^{3} + 12 \, b^{4} c^{2} d^{2} x^{2} + 8 \, b^{4} c^{3} d x + 2 \, b^{4} c^{4} - 6 \, b^{2} d^{4} x^{2} - 12 \, b^{2} c d^{3} x - 6 \, b^{2} c^{2} d^{2} + 3 \, d^{4}\right)} \sin\left(2 \, b x + 2 \, a\right)}{8 \, b^{5}}"," ",0,"1/10*d^4*x^5 + 1/2*c*d^3*x^4 + c^2*d^2*x^3 + c^3*d*x^2 + 1/2*c^4*x - 1/4*(2*b^3*d^4*x^3 + 6*b^3*c*d^3*x^2 + 6*b^3*c^2*d^2*x + 2*b^3*c^3*d - 3*b*d^4*x - 3*b*c*d^3)*cos(2*b*x + 2*a)/b^5 - 1/8*(2*b^4*d^4*x^4 + 8*b^4*c*d^3*x^3 + 12*b^4*c^2*d^2*x^2 + 8*b^4*c^3*d*x + 2*b^4*c^4 - 6*b^2*d^4*x^2 - 12*b^2*c*d^3*x - 6*b^2*c^2*d^2 + 3*d^4)*sin(2*b*x + 2*a)/b^5","A",0
9,1,153,0,0.317764," ","integrate((d*x+c)^3*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{8} \, d^{3} x^{4} + \frac{1}{2} \, c d^{2} x^{3} + \frac{3}{4} \, c^{2} d x^{2} + \frac{1}{2} \, c^{3} x - \frac{3 \, {\left(2 \, b^{2} d^{3} x^{2} + 4 \, b^{2} c d^{2} x + 2 \, b^{2} c^{2} d - d^{3}\right)} \cos\left(2 \, b x + 2 \, a\right)}{16 \, b^{4}} - \frac{{\left(2 \, b^{3} d^{3} x^{3} + 6 \, b^{3} c d^{2} x^{2} + 6 \, b^{3} c^{2} d x + 2 \, b^{3} c^{3} - 3 \, b d^{3} x - 3 \, b c d^{2}\right)} \sin\left(2 \, b x + 2 \, a\right)}{8 \, b^{4}}"," ",0,"1/8*d^3*x^4 + 1/2*c*d^2*x^3 + 3/4*c^2*d*x^2 + 1/2*c^3*x - 3/16*(2*b^2*d^3*x^2 + 4*b^2*c*d^2*x + 2*b^2*c^2*d - d^3)*cos(2*b*x + 2*a)/b^4 - 1/8*(2*b^3*d^3*x^3 + 6*b^3*c*d^2*x^2 + 6*b^3*c^2*d*x + 2*b^3*c^3 - 3*b*d^3*x - 3*b*c*d^2)*sin(2*b*x + 2*a)/b^4","A",0
10,1,94,0,0.824811," ","integrate((d*x+c)^2*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{6} \, d^{2} x^{3} + \frac{1}{2} \, c d x^{2} + \frac{1}{2} \, c^{2} x - \frac{{\left(b d^{2} x + b c d\right)} \cos\left(2 \, b x + 2 \, a\right)}{4 \, b^{3}} - \frac{{\left(2 \, b^{2} d^{2} x^{2} + 4 \, b^{2} c d x + 2 \, b^{2} c^{2} - d^{2}\right)} \sin\left(2 \, b x + 2 \, a\right)}{8 \, b^{3}}"," ",0,"1/6*d^2*x^3 + 1/2*c*d*x^2 + 1/2*c^2*x - 1/4*(b*d^2*x + b*c*d)*cos(2*b*x + 2*a)/b^3 - 1/8*(2*b^2*d^2*x^2 + 4*b^2*c*d*x + 2*b^2*c^2 - d^2)*sin(2*b*x + 2*a)/b^3","A",0
11,1,48,0,0.421455," ","integrate((d*x+c)*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{4} \, d x^{2} + \frac{1}{2} \, c x - \frac{d \cos\left(2 \, b x + 2 \, a\right)}{8 \, b^{2}} - \frac{{\left(b d x + b c\right)} \sin\left(2 \, b x + 2 \, a\right)}{4 \, b^{2}}"," ",0,"1/4*d*x^2 + 1/2*c*x - 1/8*d*cos(2*b*x + 2*a)/b^2 - 1/4*(b*d*x + b*c)*sin(2*b*x + 2*a)/b^2","A",0
12,1,612,0,0.662738," ","integrate(sin(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\frac{2 \, \log\left({\left| d x + c \right|}\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \log\left({\left| d x + c \right|}\right) \tan\left(a\right)^{2} + \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 2 \, \log\left({\left| d x + c \right|}\right) \tan\left(\frac{b c}{d}\right)^{2} + \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right) + 2 \, \log\left({\left| d x + c \right|}\right) - \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) - \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right)}{4 \, {\left(d \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(a\right)^{2} + d \tan\left(\frac{b c}{d}\right)^{2} + d\right)}}"," ",0,"1/4*(2*log(abs(d*x + c))*tan(a)^2*tan(b*c/d)^2 - real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 - real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d) - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d)^2 + 2*log(abs(d*x + c))*tan(a)^2 + real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 + real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 2*log(abs(d*x + c))*tan(b*c/d)^2 + real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 + real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(a) - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d) + 2*log(abs(d*x + c)) - real_part(cos_integral(2*b*x + 2*b*c/d)) - real_part(cos_integral(-2*b*x - 2*b*c/d)))/(d*tan(a)^2*tan(b*c/d)^2 + d*tan(a)^2 + d*tan(b*c/d)^2 + d)","C",0
13,1,535,0,1.367180," ","integrate(sin(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(2 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} \operatorname{Ci}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) \sin\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right) + 2 \, b^{3} c \operatorname{Ci}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) \sin\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right) - 2 \, a b^{2} d \operatorname{Ci}\left(\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) \sin\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right) - 2 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} \cos\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right) \operatorname{Si}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) - 2 \, b^{3} c \cos\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right) \operatorname{Si}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) + 2 \, a b^{2} d \cos\left(-\frac{2 \, {\left(b c - a d\right)}}{d}\right) \operatorname{Si}\left(-\frac{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) + b^{2} d \cos\left(-\frac{2 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right) - b^{2} d\right)} d^{2}}{2 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} d^{4} + b c d^{4} - a d^{5}\right)} b}"," ",0,"1/2*(2*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*cos_integral(2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*sin(-2*(b*c - a*d)/d) + 2*b^3*c*cos_integral(2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*sin(-2*(b*c - a*d)/d) - 2*a*b^2*d*cos_integral(2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*sin(-2*(b*c - a*d)/d) - 2*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*cos(-2*(b*c - a*d)/d)*sin_integral(-2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) - 2*b^3*c*cos(-2*(b*c - a*d)/d)*sin_integral(-2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) + 2*a*b^2*d*cos(-2*(b*c - a*d)/d)*sin_integral(-2*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) + b^2*d*cos(-2*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) - b^2*d)*d^2/(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*d^4 + b*c*d^4 - a*d^5)*b)","B",0
14,1,5141,0,1.848942," ","integrate(sin(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 4 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 8 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) + 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) - 4 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right) - 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) - 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 4 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 4 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} + b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} - 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) + 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) - 8 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right) - b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) - 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) + 8 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 8 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} - b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} - b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b d^{2} x \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b d^{2} x \tan\left(b x\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} + 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} - 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 4 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) - 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) + 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) - 4 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right) - 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 2 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right) + 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) - 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 4 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b c d \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b c d \tan\left(b x\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) + b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) + b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} + b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} - 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 8 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) + 2 \, b d^{2} x \tan\left(b x\right)^{2} \tan\left(a\right) - b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + 2 \, b d^{2} x \tan\left(b x\right) \tan\left(a\right)^{2} + 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 4 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) + 8 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} - b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b d^{2} x \tan\left(b x\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b d^{2} x \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) + 2 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) - 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 4 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) + 2 \, b c d \tan\left(b x\right)^{2} \tan\left(a\right) + 2 \, b c d \tan\left(b x\right) \tan\left(a\right)^{2} + 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 2 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) + 4 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right) - 2 \, b c d \tan\left(b x\right) \tan\left(\frac{b c}{d}\right)^{2} - d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b c d \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, d^{2} \tan\left(b x\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - d^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) + b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) - 2 \, b d^{2} x \tan\left(b x\right) - 2 \, b d^{2} x \tan\left(a\right) - 2 \, b c d \tan\left(b x\right) - d^{2} \tan\left(b x\right)^{2} - 2 \, b c d \tan\left(a\right) - 2 \, d^{2} \tan\left(b x\right) \tan\left(a\right) - d^{2} \tan\left(a\right)^{2}}{2 \, {\left(d^{5} x^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{5} x^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + d^{5} x^{2} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{5} x^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + c^{2} d^{3} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 2 \, c d^{4} x \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{5} x^{2} \tan\left(b x\right)^{2} + d^{5} x^{2} \tan\left(a\right)^{2} + c^{2} d^{3} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + d^{5} x^{2} \tan\left(\frac{b c}{d}\right)^{2} + c^{2} d^{3} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + c^{2} d^{3} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(b x\right)^{2} + 2 \, c d^{4} x \tan\left(a\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{b c}{d}\right)^{2} + d^{5} x^{2} + c^{2} d^{3} \tan\left(b x\right)^{2} + c^{2} d^{3} \tan\left(a\right)^{2} + c^{2} d^{3} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"1/2*(b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 - 2*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) + 2*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) - 4*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2*tan(b*c/d) + 2*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - 2*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 4*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 2*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 2*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 - b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2 - b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2 + 4*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) + 4*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) - 4*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) + 4*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) - 8*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2*tan(b*c/d) - b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 + 4*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - 4*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 8*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 - 2*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 2*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 4*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a) - 2*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2 - 2*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2 + 2*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 2*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 4*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) + 8*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) + 8*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) - 2*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) + 2*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) - 4*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d) - 2*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) + 2*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) - 4*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2*tan(b*c/d) - 2*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - 2*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 + 2*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 + 4*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d)^2 + 2*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - 2*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 4*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 2*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 2*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 + b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 - 4*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 4*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 8*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a) - b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 - b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 - b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2 - b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2 + 4*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 4*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 8*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) + 4*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) + 4*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 4*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) + 4*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) - 4*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) + 4*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) - 8*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d) - b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 - b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 - b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 + 4*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 4*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 + 8*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d)^2 + 2*b*d^2*x*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 2*b*d^2*x*tan(b*x)*tan(a)^2*tan(b*c/d)^2 + 2*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 + 2*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 - 2*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 2*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 4*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a) - 2*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 2*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 4*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a) - 2*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 - 2*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 + 2*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 2*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + 4*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d) + 2*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 2*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 4*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) + 8*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) + 8*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) - 2*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) + 2*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) - 4*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d) - 2*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 - 2*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 + 2*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 + 4*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d)^2 + 2*b*c*d*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 2*b*c*d*tan(b*x)*tan(a)^2*tan(b*c/d)^2 + b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d)) + b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d)) + b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 + b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 - 4*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 4*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 8*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a) + 2*b*d^2*x*tan(b*x)^2*tan(a) - b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 - b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 + 2*b*d^2*x*tan(b*x)*tan(a)^2 + 4*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 4*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + 8*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d) + 4*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) + 4*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) - b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 - b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 - 2*b*d^2*x*tan(b*x)*tan(b*c/d)^2 - 2*b*d^2*x*tan(a)*tan(b*c/d)^2 + 2*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d)) + 2*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d)) - 2*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 2*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 4*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a) + 2*b*c*d*tan(b*x)^2*tan(a) + 2*b*c*d*tan(b*x)*tan(a)^2 + 2*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 2*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + 4*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d) - 2*b*c*d*tan(b*x)*tan(b*c/d)^2 - d^2*tan(b*x)^2*tan(b*c/d)^2 - 2*b*c*d*tan(a)*tan(b*c/d)^2 - 2*d^2*tan(b*x)*tan(a)*tan(b*c/d)^2 - d^2*tan(a)^2*tan(b*c/d)^2 + b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d)) + b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d)) - 2*b*d^2*x*tan(b*x) - 2*b*d^2*x*tan(a) - 2*b*c*d*tan(b*x) - d^2*tan(b*x)^2 - 2*b*c*d*tan(a) - 2*d^2*tan(b*x)*tan(a) - d^2*tan(a)^2)/(d^5*x^2*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 2*c*d^4*x*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + d^5*x^2*tan(b*x)^2*tan(a)^2 + d^5*x^2*tan(b*x)^2*tan(b*c/d)^2 + d^5*x^2*tan(a)^2*tan(b*c/d)^2 + c^2*d^3*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 2*c*d^4*x*tan(b*x)^2*tan(a)^2 + 2*c*d^4*x*tan(b*x)^2*tan(b*c/d)^2 + 2*c*d^4*x*tan(a)^2*tan(b*c/d)^2 + d^5*x^2*tan(b*x)^2 + d^5*x^2*tan(a)^2 + c^2*d^3*tan(b*x)^2*tan(a)^2 + d^5*x^2*tan(b*c/d)^2 + c^2*d^3*tan(b*x)^2*tan(b*c/d)^2 + c^2*d^3*tan(a)^2*tan(b*c/d)^2 + 2*c*d^4*x*tan(b*x)^2 + 2*c*d^4*x*tan(a)^2 + 2*c*d^4*x*tan(b*c/d)^2 + d^5*x^2 + c^2*d^3*tan(b*x)^2 + c^2*d^3*tan(a)^2 + c^2*d^3*tan(b*c/d)^2 + 2*c*d^4*x + c^2*d^3)","C",0
15,1,7832,0,1.514510," ","integrate(sin(b*x+a)^2/(d*x+c)^4,x, algorithm=""giac"")","-\frac{b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 2 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 4 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 4 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 8 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) + 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) - 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 6 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) - 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) + 12 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 12 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 24 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{2} d^{3} x^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{3} c^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{3} c^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} - b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} + 2 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} + 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) + 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) - b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - 2 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} - 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 6 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) - 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) + 4 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 4 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 8 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 12 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 12 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 24 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} c d^{2} x \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} - 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} + 6 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} + 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) + 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) - 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - 6 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} + b^{2} d^{3} x^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - b^{3} c^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 2 \, b^{3} c^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) - 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) + 12 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 12 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 24 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 4 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 4 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 8 \, b^{3} c^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - b^{2} d^{3} x^{2} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - b^{3} c^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{3} c^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b^{2} d^{3} x^{2} \tan\left(b x\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - b^{2} d^{3} x^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{3} c^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{3} c^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{2} c^{2} d \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) - b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) + 2 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) + 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} - 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} + 6 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} + 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) + 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right) - 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - 6 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} + 2 \, b^{2} c d^{2} x \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) - 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right) + 12 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 12 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 24 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} - 6 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{2} c d^{2} x \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 8 \, b^{2} c d^{2} x \tan\left(b x\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - b d^{3} x \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{2} c d^{2} x \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - b d^{3} x \tan\left(b x\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) - 3 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) + 6 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) - b^{2} d^{3} x^{2} \tan\left(b x\right)^{2} + b^{3} c^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} - b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} + 2 \, b^{3} c^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} + 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 4 \, b^{2} d^{3} x^{2} \tan\left(b x\right) \tan\left(a\right) - b^{2} d^{3} x^{2} \tan\left(a\right)^{2} - b^{3} c^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - 2 \, b^{3} c^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} + b^{2} c^{2} d \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) + 4 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 4 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 8 \, b^{3} c^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + b^{2} d^{3} x^{2} \tan\left(\frac{b c}{d}\right)^{2} - b^{3} c^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b^{3} c^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - b^{2} c^{2} d \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b^{2} c^{2} d \tan\left(b x\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - b c d^{2} \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - b^{2} c^{2} d \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - b c d^{2} \tan\left(b x\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) - 3 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) + 6 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) - 2 \, b^{2} c d^{2} x \tan\left(b x\right)^{2} + 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 8 \, b^{2} c d^{2} x \tan\left(b x\right) \tan\left(a\right) - b d^{3} x \tan\left(b x\right)^{2} \tan\left(a\right) - 2 \, b^{2} c d^{2} x \tan\left(a\right)^{2} - b d^{3} x \tan\left(b x\right) \tan\left(a\right)^{2} - 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) + 2 \, b^{2} c d^{2} x \tan\left(\frac{b c}{d}\right)^{2} + b d^{3} x \tan\left(b x\right) \tan\left(\frac{b c}{d}\right)^{2} + b d^{3} x \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + b^{2} d^{3} x^{2} + b^{3} c^{3} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) - b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) + 2 \, b^{3} c^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) - b^{2} c^{2} d \tan\left(b x\right)^{2} - 4 \, b^{2} c^{2} d \tan\left(b x\right) \tan\left(a\right) - b c d^{2} \tan\left(b x\right)^{2} \tan\left(a\right) - b^{2} c^{2} d \tan\left(a\right)^{2} - b c d^{2} \tan\left(b x\right) \tan\left(a\right)^{2} + b^{2} c^{2} d \tan\left(\frac{b c}{d}\right)^{2} + b c d^{2} \tan\left(b x\right) \tan\left(\frac{b c}{d}\right)^{2} + d^{3} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b c d^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, d^{3} \tan\left(b x\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + d^{3} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} c d^{2} x + b d^{3} x \tan\left(b x\right) + b d^{3} x \tan\left(a\right) + b^{2} c^{2} d + b c d^{2} \tan\left(b x\right) + d^{3} \tan\left(b x\right)^{2} + b c d^{2} \tan\left(a\right) + 2 \, d^{3} \tan\left(b x\right) \tan\left(a\right) + d^{3} \tan\left(a\right)^{2}}{3 \, {\left(d^{7} x^{3} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{7} x^{3} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + d^{7} x^{3} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{7} x^{3} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + c^{3} d^{4} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{7} x^{3} \tan\left(b x\right)^{2} + d^{7} x^{3} \tan\left(a\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + d^{7} x^{3} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(b x\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(a\right)^{2} + c^{3} d^{4} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(\frac{b c}{d}\right)^{2} + c^{3} d^{4} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + c^{3} d^{4} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{7} x^{3} + 3 \, c^{2} d^{5} x \tan\left(b x\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(a\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(\frac{b c}{d}\right)^{2} + 3 \, c d^{6} x^{2} + c^{3} d^{4} \tan\left(b x\right)^{2} + c^{3} d^{4} \tan\left(a\right)^{2} + c^{3} d^{4} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, c^{2} d^{5} x + c^{3} d^{4}\right)}}"," ",0,"-1/3*(b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 - b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 2*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 2*b^3*d^3*x^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) + 2*b^3*d^3*x^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) - 2*b^3*d^3*x^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - 2*b^3*d^3*x^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 3*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 - 3*b^3*c*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 6*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 - b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2 + b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2 - 2*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2 + 4*b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) - 4*b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) + 8*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)*tan(b*c/d) + 6*b^3*c*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) + 6*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) - b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 + b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - 2*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d)^2 - 6*b^3*c*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - 6*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 - b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 2*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 + 3*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 - 3*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 6*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 2*b^3*d^3*x^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 2*b^3*d^3*x^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 3*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2 + 3*b^3*c*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2 - 6*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2 - 2*b^3*d^3*x^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 2*b^3*d^3*x^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 12*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) - 12*b^3*c*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) + 24*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)*tan(b*c/d) + 2*b^3*d^3*x^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) + 2*b^3*d^3*x^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) + 6*b^3*c^2*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) + 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) - 3*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 + 3*b^3*c*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - 6*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d)^2 - 2*b^3*d^3*x^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*b^3*d^3*x^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 6*b^3*c^2*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 3*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 - 3*b^3*c*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 6*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 + b^2*d^3*x^2*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 - b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 2*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 - b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 + 2*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2 + 6*b^3*c*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 6*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 + b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 - 2*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2 - 3*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2 + 3*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2 - 6*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2 - 6*b^3*c*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 6*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 4*b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) - 4*b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 8*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d) + 12*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) - 12*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) + 24*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)*tan(b*c/d) + 6*b^3*c*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) + 6*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) + 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) + 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) - b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 + b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 - 2*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 - 3*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 + 3*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - 6*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d)^2 - 6*b^3*c*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 6*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 3*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 - 3*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 6*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 + 2*b^2*c*d^2*x*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 3*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 - 3*b^3*c*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 + 6*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2 + 2*b^3*d^3*x^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 2*b^3*d^3*x^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) + 6*b^3*c^2*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 3*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 + 3*b^3*c*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 - 6*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2 + b^2*d^3*x^2*tan(b*x)^2*tan(a)^2 - b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2 + b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2 - 2*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2 - 2*b^3*d^3*x^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 2*b^3*d^3*x^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) - 6*b^3*c^2*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 12*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) - 12*b^3*c*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 24*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d) + 4*b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) - 4*b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) + 8*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)*tan(b*c/d) + 6*b^3*c^2*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) + 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) - 3*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 + 3*b^3*c*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 - 6*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 - b^2*d^3*x^2*tan(b*x)^2*tan(b*c/d)^2 - b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 + b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - 2*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d)^2 - 6*b^3*c^2*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 4*b^2*d^3*x^2*tan(b*x)*tan(a)*tan(b*c/d)^2 - b^2*d^3*x^2*tan(a)^2*tan(b*c/d)^2 + b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 - b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 2*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 + b^2*c^2*d*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d)) - b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d)) + 2*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d) + 3*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 - 3*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 + 6*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2 + 6*b^3*c*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 6*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) + 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 3*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 + 3*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 - 6*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2 + 2*b^2*c*d^2*x*tan(b*x)^2*tan(a)^2 - 6*b^3*c*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 6*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) - 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 12*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) - 12*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 24*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d) + 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) + 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) - 3*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 + 3*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 - 6*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 - 2*b^2*c*d^2*x*tan(b*x)^2*tan(b*c/d)^2 - 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 8*b^2*c*d^2*x*tan(b*x)*tan(a)*tan(b*c/d)^2 - b*d^3*x*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - 2*b^2*c*d^2*x*tan(a)^2*tan(b*c/d)^2 - b*d^3*x*tan(b*x)*tan(a)^2*tan(b*c/d)^2 + 3*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d)) - 3*b^3*c*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d)) + 6*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d) - b^2*d^3*x^2*tan(b*x)^2 + b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 - b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 + 2*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2 + 6*b^3*c^2*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 4*b^2*d^3*x^2*tan(b*x)*tan(a) - b^2*d^3*x^2*tan(a)^2 - b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 + b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 - 2*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2 + b^2*c^2*d*tan(b*x)^2*tan(a)^2 - 6*b^3*c^2*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + 4*b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) - 4*b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 8*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d) + b^2*d^3*x^2*tan(b*c/d)^2 - b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 + b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 - 2*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 - b^2*c^2*d*tan(b*x)^2*tan(b*c/d)^2 - 4*b^2*c^2*d*tan(b*x)*tan(a)*tan(b*c/d)^2 - b*c*d^2*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - b^2*c^2*d*tan(a)^2*tan(b*c/d)^2 - b*c*d^2*tan(b*x)*tan(a)^2*tan(b*c/d)^2 + 3*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d)) - 3*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d)) + 6*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d) - 2*b^2*c*d^2*x*tan(b*x)^2 + 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 8*b^2*c*d^2*x*tan(b*x)*tan(a) - b*d^3*x*tan(b*x)^2*tan(a) - 2*b^2*c*d^2*x*tan(a)^2 - b*d^3*x*tan(b*x)*tan(a)^2 - 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + 2*b^2*c*d^2*x*tan(b*c/d)^2 + b*d^3*x*tan(b*x)*tan(b*c/d)^2 + b*d^3*x*tan(a)*tan(b*c/d)^2 + b^2*d^3*x^2 + b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d)) - b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d)) + 2*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d) - b^2*c^2*d*tan(b*x)^2 - 4*b^2*c^2*d*tan(b*x)*tan(a) - b*c*d^2*tan(b*x)^2*tan(a) - b^2*c^2*d*tan(a)^2 - b*c*d^2*tan(b*x)*tan(a)^2 + b^2*c^2*d*tan(b*c/d)^2 + b*c*d^2*tan(b*x)*tan(b*c/d)^2 + d^3*tan(b*x)^2*tan(b*c/d)^2 + b*c*d^2*tan(a)*tan(b*c/d)^2 + 2*d^3*tan(b*x)*tan(a)*tan(b*c/d)^2 + d^3*tan(a)^2*tan(b*c/d)^2 + 2*b^2*c*d^2*x + b*d^3*x*tan(b*x) + b*d^3*x*tan(a) + b^2*c^2*d + b*c*d^2*tan(b*x) + d^3*tan(b*x)^2 + b*c*d^2*tan(a) + 2*d^3*tan(b*x)*tan(a) + d^3*tan(a)^2)/(d^7*x^3*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 3*c*d^6*x^2*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + d^7*x^3*tan(b*x)^2*tan(a)^2 + d^7*x^3*tan(b*x)^2*tan(b*c/d)^2 + d^7*x^3*tan(a)^2*tan(b*c/d)^2 + 3*c^2*d^5*x*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 3*c*d^6*x^2*tan(b*x)^2*tan(a)^2 + 3*c*d^6*x^2*tan(b*x)^2*tan(b*c/d)^2 + 3*c*d^6*x^2*tan(a)^2*tan(b*c/d)^2 + c^3*d^4*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + d^7*x^3*tan(b*x)^2 + d^7*x^3*tan(a)^2 + 3*c^2*d^5*x*tan(b*x)^2*tan(a)^2 + d^7*x^3*tan(b*c/d)^2 + 3*c^2*d^5*x*tan(b*x)^2*tan(b*c/d)^2 + 3*c^2*d^5*x*tan(a)^2*tan(b*c/d)^2 + 3*c*d^6*x^2*tan(b*x)^2 + 3*c*d^6*x^2*tan(a)^2 + c^3*d^4*tan(b*x)^2*tan(a)^2 + 3*c*d^6*x^2*tan(b*c/d)^2 + c^3*d^4*tan(b*x)^2*tan(b*c/d)^2 + c^3*d^4*tan(a)^2*tan(b*c/d)^2 + d^7*x^3 + 3*c^2*d^5*x*tan(b*x)^2 + 3*c^2*d^5*x*tan(a)^2 + 3*c^2*d^5*x*tan(b*c/d)^2 + 3*c*d^6*x^2 + c^3*d^4*tan(b*x)^2 + c^3*d^4*tan(a)^2 + c^3*d^4*tan(b*c/d)^2 + 3*c^2*d^5*x + c^3*d^4)","C",0
16,1,351,0,0.518476," ","integrate((d*x+c)^4*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(27 \, b^{4} d^{4} x^{4} + 108 \, b^{4} c d^{3} x^{3} + 162 \, b^{4} c^{2} d^{2} x^{2} + 108 \, b^{4} c^{3} d x + 27 \, b^{4} c^{4} - 36 \, b^{2} d^{4} x^{2} - 72 \, b^{2} c d^{3} x - 36 \, b^{2} c^{2} d^{2} + 8 \, d^{4}\right)} \cos\left(3 \, b x + 3 \, a\right)}{324 \, b^{5}} - \frac{3 \, {\left(b^{4} d^{4} x^{4} + 4 \, b^{4} c d^{3} x^{3} + 6 \, b^{4} c^{2} d^{2} x^{2} + 4 \, b^{4} c^{3} d x + b^{4} c^{4} - 12 \, b^{2} d^{4} x^{2} - 24 \, b^{2} c d^{3} x - 12 \, b^{2} c^{2} d^{2} + 24 \, d^{4}\right)} \cos\left(b x + a\right)}{4 \, b^{5}} - \frac{{\left(3 \, b^{3} d^{4} x^{3} + 9 \, b^{3} c d^{3} x^{2} + 9 \, b^{3} c^{2} d^{2} x + 3 \, b^{3} c^{3} d - 2 \, b d^{4} x - 2 \, b c d^{3}\right)} \sin\left(3 \, b x + 3 \, a\right)}{27 \, b^{5}} + \frac{3 \, {\left(b^{3} d^{4} x^{3} + 3 \, b^{3} c d^{3} x^{2} + 3 \, b^{3} c^{2} d^{2} x + b^{3} c^{3} d - 6 \, b d^{4} x - 6 \, b c d^{3}\right)} \sin\left(b x + a\right)}{b^{5}}"," ",0,"1/324*(27*b^4*d^4*x^4 + 108*b^4*c*d^3*x^3 + 162*b^4*c^2*d^2*x^2 + 108*b^4*c^3*d*x + 27*b^4*c^4 - 36*b^2*d^4*x^2 - 72*b^2*c*d^3*x - 36*b^2*c^2*d^2 + 8*d^4)*cos(3*b*x + 3*a)/b^5 - 3/4*(b^4*d^4*x^4 + 4*b^4*c*d^3*x^3 + 6*b^4*c^2*d^2*x^2 + 4*b^4*c^3*d*x + b^4*c^4 - 12*b^2*d^4*x^2 - 24*b^2*c*d^3*x - 12*b^2*c^2*d^2 + 24*d^4)*cos(b*x + a)/b^5 - 1/27*(3*b^3*d^4*x^3 + 9*b^3*c*d^3*x^2 + 9*b^3*c^2*d^2*x + 3*b^3*c^3*d - 2*b*d^4*x - 2*b*c*d^3)*sin(3*b*x + 3*a)/b^5 + 3*(b^3*d^4*x^3 + 3*b^3*c*d^3*x^2 + 3*b^3*c^2*d^2*x + b^3*c^3*d - 6*b*d^4*x - 6*b*c*d^3)*sin(b*x + a)/b^5","A",0
17,1,231,0,0.328305," ","integrate((d*x+c)^3*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(3 \, b^{3} d^{3} x^{3} + 9 \, b^{3} c d^{2} x^{2} + 9 \, b^{3} c^{2} d x + 3 \, b^{3} c^{3} - 2 \, b d^{3} x - 2 \, b c d^{2}\right)} \cos\left(3 \, b x + 3 \, a\right)}{36 \, b^{4}} - \frac{3 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + b^{3} c^{3} - 6 \, b d^{3} x - 6 \, b c d^{2}\right)} \cos\left(b x + a\right)}{4 \, b^{4}} - \frac{{\left(9 \, b^{2} d^{3} x^{2} + 18 \, b^{2} c d^{2} x + 9 \, b^{2} c^{2} d - 2 \, d^{3}\right)} \sin\left(3 \, b x + 3 \, a\right)}{108 \, b^{4}} + \frac{9 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d - 2 \, d^{3}\right)} \sin\left(b x + a\right)}{4 \, b^{4}}"," ",0,"1/36*(3*b^3*d^3*x^3 + 9*b^3*c*d^2*x^2 + 9*b^3*c^2*d*x + 3*b^3*c^3 - 2*b*d^3*x - 2*b*c*d^2)*cos(3*b*x + 3*a)/b^4 - 3/4*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + b^3*c^3 - 6*b*d^3*x - 6*b*c*d^2)*cos(b*x + a)/b^4 - 1/108*(9*b^2*d^3*x^2 + 18*b^2*c*d^2*x + 9*b^2*c^2*d - 2*d^3)*sin(3*b*x + 3*a)/b^4 + 9/4*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*sin(b*x + a)/b^4","A",0
18,1,137,0,2.027496," ","integrate((d*x+c)^2*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(9 \, b^{2} d^{2} x^{2} + 18 \, b^{2} c d x + 9 \, b^{2} c^{2} - 2 \, d^{2}\right)} \cos\left(3 \, b x + 3 \, a\right)}{108 \, b^{3}} - \frac{3 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}\right)} \cos\left(b x + a\right)}{4 \, b^{3}} - \frac{{\left(b d^{2} x + b c d\right)} \sin\left(3 \, b x + 3 \, a\right)}{18 \, b^{3}} + \frac{3 \, {\left(b d^{2} x + b c d\right)} \sin\left(b x + a\right)}{2 \, b^{3}}"," ",0,"1/108*(9*b^2*d^2*x^2 + 18*b^2*c*d*x + 9*b^2*c^2 - 2*d^2)*cos(3*b*x + 3*a)/b^3 - 3/4*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)*cos(b*x + a)/b^3 - 1/18*(b*d^2*x + b*c*d)*sin(3*b*x + 3*a)/b^3 + 3/2*(b*d^2*x + b*c*d)*sin(b*x + a)/b^3","A",0
19,1,69,0,1.213664," ","integrate((d*x+c)*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(b d x + b c\right)} \cos\left(3 \, b x + 3 \, a\right)}{12 \, b^{2}} - \frac{3 \, {\left(b d x + b c\right)} \cos\left(b x + a\right)}{4 \, b^{2}} - \frac{d \sin\left(3 \, b x + 3 \, a\right)}{36 \, b^{2}} + \frac{3 \, d \sin\left(b x + a\right)}{4 \, b^{2}}"," ",0,"1/12*(b*d*x + b*c)*cos(3*b*x + 3*a)/b^2 - 3/4*(b*d*x + b*c)*cos(b*x + a)/b^2 - 1/36*d*sin(3*b*x + 3*a)/b^2 + 3/4*d*sin(b*x + a)/b^2","A",0
20,1,6296,0,1.505452," ","integrate(sin(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","-\frac{\Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 12 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 12 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 24 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) + 8 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) + \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 12 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 12 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - 24 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - 12 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 12 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 24 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} - 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} - 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3}{2} \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right) + 8 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{3 \, b c}{2 \, d}\right) - \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - 12 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + 12 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) - 24 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right) + \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) + 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right) - 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) - 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right) + \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) - 3 \, \Im \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) + 3 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) - \Im \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \right) + 2 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) - 6 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right)}{8 \, {\left(d \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + d \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + d \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + d \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + d \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + d \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + d \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + d \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + d \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + d \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + d \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + d \tan\left(\frac{3}{2} \, a\right)^{2} + d \tan\left(\frac{1}{2} \, a\right)^{2} + d \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} + d \tan\left(\frac{b c}{2 \, d}\right)^{2} + d\right)}}"," ",0,"-1/8*(imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 3*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 3*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 2*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 6*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 6*real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) - 6*real_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) + 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 + 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 + 6*real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 6*real_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + 3*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2 - 3*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2 - imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + 2*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + 6*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2 - 12*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) + 12*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) - 24*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) - imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - 3*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 3*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - 2*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - 6*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 4*imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 - 4*imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 + 8*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)*tan(1/2*a)^2*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 + imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 3*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 3*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 2*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 6*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 3*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 3*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 2*sin_integral(3*(b*d*x + b*c)/d)*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 6*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d) + 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d) - 6*real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(3/2*b*c/d)^2 - 6*real_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(3/2*b*c/d)^2 - 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2*tan(3/2*b*c/d)^2 - 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2*tan(3/2*b*c/d)^2 - 6*real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(1/2*b*c/d) - 6*real_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(1/2*b*c/d) + 6*real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) + 6*real_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) - 6*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) - 6*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) + 6*real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(1/2*b*c/d)^2 + 6*real_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(1/2*b*c/d)^2 + 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 + 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 - 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 - 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 - 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 6*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 6*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2 + 3*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2 - 3*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2 + imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2 - 2*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)^2 + 6*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)^2 + 4*imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2*tan(3/2*b*c/d) - 4*imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2*tan(3/2*b*c/d) + 8*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)*tan(1/2*a)^2*tan(3/2*b*c/d) + imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2 - 3*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2 + 3*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2 - imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2 + 2*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)^2*tan(3/2*b*c/d)^2 - 6*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*tan(3/2*b*c/d)^2 - imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + 3*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2 - 3*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2 - 2*sin_integral(3*(b*d*x + b*c)/d)*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + 6*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2*tan(3/2*b*c/d)^2 - 12*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(1/2*b*c/d) + 12*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(1/2*b*c/d) - 24*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)*tan(1/2*b*c/d) - 12*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) + 12*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) - 24*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) - imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(1/2*b*c/d)^2 + 3*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*b*c/d)^2 - 3*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*b*c/d)^2 + imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2*tan(1/2*b*c/d)^2 - 2*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*b*c/d)^2 + 6*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*b*c/d)^2 + imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - 3*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 3*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 2*sin_integral(3*(b*d*x + b*c)/d)*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - 6*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 4*imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 - 4*imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 + 8*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 - imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 3*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 3*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 2*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 6*sin_integral((b*d*x + b*c)/d)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 6*real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a) - 6*real_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a) + 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2 + 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2 + 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d) + 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d) - 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d) - 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d) - 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(3/2*b*c/d)^2 - 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(3/2*b*c/d)^2 - 6*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(3/2*b*c/d)^2 - 6*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(3/2*b*c/d)^2 + 6*real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*b*c/d) + 6*real_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*b*c/d) - 6*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d) - 6*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d) + 6*real_part(cos_integral(b*x + b*c/d))*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) + 6*real_part(cos_integral(-b*x - b*c/d))*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) + 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(1/2*b*c/d)^2 + 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(1/2*b*c/d)^2 + 6*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 + 6*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 - 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 - 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 - imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2 - 3*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2 + 3*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2 + imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)^2 - 2*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)^2 - 6*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2 + imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(1/2*a)^2 + 3*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)^2 - 3*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2 - imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(1/2*a)^2 + 2*sin_integral(3*(b*d*x + b*c)/d)*tan(1/2*a)^2 + 6*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2 + 4*imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(3/2*b*c/d) - 4*imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(3/2*b*c/d) + 8*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)*tan(3/2*b*c/d) - imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*b*c/d)^2 - 3*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*b*c/d)^2 + 3*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*b*c/d)^2 + imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*b*c/d)^2 - 2*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*b*c/d)^2 - 6*sin_integral((b*d*x + b*c)/d)*tan(3/2*b*c/d)^2 - 12*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) + 12*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) - 24*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)*tan(1/2*b*c/d) + imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(1/2*b*c/d)^2 + 3*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*b*c/d)^2 - 3*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*c/d)^2 - imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(1/2*b*c/d)^2 + 2*sin_integral(3*(b*d*x + b*c)/d)*tan(1/2*b*c/d)^2 + 6*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*c/d)^2 + 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a) + 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a) - 6*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a) - 6*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a) - 2*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*b*c/d) - 2*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*b*c/d) + 6*real_part(cos_integral(b*x + b*c/d))*tan(1/2*b*c/d) + 6*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*c/d) + imag_part(cos_integral(3*b*x + 3*b*c/d)) - 3*imag_part(cos_integral(b*x + b*c/d)) + 3*imag_part(cos_integral(-b*x - b*c/d)) - imag_part(cos_integral(-3*b*x - 3*b*c/d)) + 2*sin_integral(3*(b*d*x + b*c)/d) - 6*sin_integral((b*d*x + b*c)/d))/(d*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + d*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + d*tan(3/2*a)^2*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + d*tan(3/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + d*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + d*tan(3/2*a)^2*tan(1/2*a)^2 + d*tan(3/2*a)^2*tan(3/2*b*c/d)^2 + d*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + d*tan(3/2*a)^2*tan(1/2*b*c/d)^2 + d*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + d*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + d*tan(3/2*a)^2 + d*tan(1/2*a)^2 + d*tan(3/2*b*c/d)^2 + d*tan(1/2*b*c/d)^2 + d)","C",0
21,1,1000,0,1.059329," ","integrate(sin(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","-\frac{{\left(3 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} \cos\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right) \operatorname{Ci}\left(\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) + 3 \, b^{3} c \cos\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right) \operatorname{Ci}\left(\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) - 3 \, a b^{2} d \cos\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right) \operatorname{Ci}\left(\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) - 3 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} \cos\left(-\frac{b c - a d}{d}\right) \operatorname{Ci}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) - 3 \, b^{3} c \cos\left(-\frac{b c - a d}{d}\right) \operatorname{Ci}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) + 3 \, a b^{2} d \cos\left(-\frac{b c - a d}{d}\right) \operatorname{Ci}\left(\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) - 3 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} \sin\left(-\frac{b c - a d}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) - 3 \, b^{3} c \sin\left(-\frac{b c - a d}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) + 3 \, a b^{2} d \sin\left(-\frac{b c - a d}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) + 3 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} \sin\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right) \operatorname{Si}\left(-\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) + 3 \, b^{3} c \sin\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right) \operatorname{Si}\left(-\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) - 3 \, a b^{2} d \sin\left(-\frac{3 \, {\left(b c - a d\right)}}{d}\right) \operatorname{Si}\left(-\frac{3 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d\right)}}{d}\right) - 3 \, b^{2} d \sin\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right) + b^{2} d \sin\left(-\frac{3 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)\right)} d^{2}}{4 \, {\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} d^{4} + b c d^{4} - a d^{5}\right)} b}"," ",0,"-1/4*(3*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*cos(-3*(b*c - a*d)/d)*cos_integral(3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) + 3*b^3*c*cos(-3*(b*c - a*d)/d)*cos_integral(3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) - 3*a*b^2*d*cos(-3*(b*c - a*d)/d)*cos_integral(3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) - 3*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*cos(-(b*c - a*d)/d)*cos_integral(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) - 3*b^3*c*cos(-(b*c - a*d)/d)*cos_integral(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) + 3*a*b^2*d*cos(-(b*c - a*d)/d)*cos_integral(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) - 3*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*sin(-(b*c - a*d)/d)*sin_integral(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) - 3*b^3*c*sin(-(b*c - a*d)/d)*sin_integral(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) + 3*a*b^2*d*sin(-(b*c - a*d)/d)*sin_integral(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) + 3*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*sin(-3*(b*c - a*d)/d)*sin_integral(-3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) + 3*b^3*c*sin(-3*(b*c - a*d)/d)*sin_integral(-3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) - 3*a*b^2*d*sin(-3*(b*c - a*d)/d)*sin_integral(-3*((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d) - 3*b^2*d*sin(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + b^2*d*sin(-3*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d))*d^2/(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*d^4 + b*c*d^4 - a*d^5)*b)","B",0
22,-1,0,0,0.000000," ","integrate(sin(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a), x)","F",0
24,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a), x)","F",0
25,0,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)*csc(b*x + a), x)","F",0
26,0,0,0,0.000000," ","integrate(csc(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(csc(b*x + a)/(d*x + c), x)","F",0
27,0,0,0,0.000000," ","integrate(csc(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(csc(b*x + a)/(d*x + c)^2, x)","F",0
28,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)^2, x)","F",0
29,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)^2, x)","F",0
30,1,1251,0,3.367058," ","integrate((d*x+c)*csc(b*x+a)^2,x, algorithm=""giac"")","\frac{b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - b d x \tan\left(\frac{1}{2} \, b x\right)^{2} - 4 \, b d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + d \log\left(\frac{16 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + \tan\left(\frac{1}{2} \, b x\right)^{6} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) - 6 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + \tan\left(\frac{1}{2} \, a\right)^{2}\right)}}{\tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - b d x \tan\left(\frac{1}{2} \, a\right)^{2} + d \log\left(\frac{16 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + \tan\left(\frac{1}{2} \, b x\right)^{6} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) - 6 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + \tan\left(\frac{1}{2} \, a\right)^{2}\right)}}{\tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - b c \tan\left(\frac{1}{2} \, b x\right)^{2} - 4 \, b c \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - b c \tan\left(\frac{1}{2} \, a\right)^{2} + b d x - d \log\left(\frac{16 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + \tan\left(\frac{1}{2} \, b x\right)^{6} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) - 6 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + \tan\left(\frac{1}{2} \, a\right)^{2}\right)}}{\tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right) - d \log\left(\frac{16 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + \tan\left(\frac{1}{2} \, b x\right)^{6} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) - 6 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + \tan\left(\frac{1}{2} \, a\right)^{2}\right)}}{\tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right) + b c}{2 \, {\left(b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + b^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - b^{2} \tan\left(\frac{1}{2} \, b x\right) - b^{2} \tan\left(\frac{1}{2} \, a\right)\right)}}"," ",0,"1/2*(b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + b*c*tan(1/2*b*x)^2*tan(1/2*a)^2 - b*d*x*tan(1/2*b*x)^2 - 4*b*d*x*tan(1/2*b*x)*tan(1/2*a) + d*log(16*(tan(1/2*b*x)^8*tan(1/2*a)^2 + 2*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^6*tan(1/2*a)^4 - 2*tan(1/2*b*x)^7*tan(1/2*a) - 2*tan(1/2*b*x)^6*tan(1/2*a)^2 + 2*tan(1/2*b*x)^5*tan(1/2*a)^3 + 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + tan(1/2*b*x)^6 - 2*tan(1/2*b*x)^5*tan(1/2*a) - 6*tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a)^3 + tan(1/2*b*x)^2*tan(1/2*a)^4 + 2*tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) - 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*b*x)^2 + 2*tan(1/2*b*x)*tan(1/2*a) + tan(1/2*a)^2)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)^2*tan(1/2*a) - b*d*x*tan(1/2*a)^2 + d*log(16*(tan(1/2*b*x)^8*tan(1/2*a)^2 + 2*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^6*tan(1/2*a)^4 - 2*tan(1/2*b*x)^7*tan(1/2*a) - 2*tan(1/2*b*x)^6*tan(1/2*a)^2 + 2*tan(1/2*b*x)^5*tan(1/2*a)^3 + 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + tan(1/2*b*x)^6 - 2*tan(1/2*b*x)^5*tan(1/2*a) - 6*tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a)^3 + tan(1/2*b*x)^2*tan(1/2*a)^4 + 2*tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) - 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*b*x)^2 + 2*tan(1/2*b*x)*tan(1/2*a) + tan(1/2*a)^2)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a)^2 - b*c*tan(1/2*b*x)^2 - 4*b*c*tan(1/2*b*x)*tan(1/2*a) - b*c*tan(1/2*a)^2 + b*d*x - d*log(16*(tan(1/2*b*x)^8*tan(1/2*a)^2 + 2*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^6*tan(1/2*a)^4 - 2*tan(1/2*b*x)^7*tan(1/2*a) - 2*tan(1/2*b*x)^6*tan(1/2*a)^2 + 2*tan(1/2*b*x)^5*tan(1/2*a)^3 + 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + tan(1/2*b*x)^6 - 2*tan(1/2*b*x)^5*tan(1/2*a) - 6*tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a)^3 + tan(1/2*b*x)^2*tan(1/2*a)^4 + 2*tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) - 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*b*x)^2 + 2*tan(1/2*b*x)*tan(1/2*a) + tan(1/2*a)^2)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x) - d*log(16*(tan(1/2*b*x)^8*tan(1/2*a)^2 + 2*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^6*tan(1/2*a)^4 - 2*tan(1/2*b*x)^7*tan(1/2*a) - 2*tan(1/2*b*x)^6*tan(1/2*a)^2 + 2*tan(1/2*b*x)^5*tan(1/2*a)^3 + 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + tan(1/2*b*x)^6 - 2*tan(1/2*b*x)^5*tan(1/2*a) - 6*tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a)^3 + tan(1/2*b*x)^2*tan(1/2*a)^4 + 2*tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) - 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*b*x)^2 + 2*tan(1/2*b*x)*tan(1/2*a) + tan(1/2*a)^2)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*a) + b*c)/(b^2*tan(1/2*b*x)^2*tan(1/2*a) + b^2*tan(1/2*b*x)*tan(1/2*a)^2 - b^2*tan(1/2*b*x) - b^2*tan(1/2*a))","B",0
31,0,0,0,0.000000," ","integrate(csc(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2}}{d x + c}\,{d x}"," ",0,"integrate(csc(b*x + a)^2/(d*x + c), x)","F",0
32,0,0,0,0.000000," ","integrate(csc(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(csc(b*x + a)^2/(d*x + c)^2, x)","F",0
33,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)^3, x)","F",0
34,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)^3, x)","F",0
35,0,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)} \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)*csc(b*x + a)^3, x)","F",0
36,0,0,0,0.000000," ","integrate(csc(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{3}}{d x + c}\,{d x}"," ",0,"integrate(csc(b*x + a)^3/(d*x + c), x)","F",0
37,-1,0,0,0.000000," ","integrate(csc(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,1,1246,0,1.946222," ","integrate((d*x+c)^(5/2)*sin(b*x+a),x, algorithm=""giac"")","-\frac{8 \, {\left(\frac{i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} - \frac{i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}\right)} c^{3} + 6 \, c d^{2} {\left(\frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(4 \, b^{2} c^{2} + 4 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 i \, {\left(2 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 4 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(4 \, b^{2} c^{2} - 4 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 i \, {\left(2 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 4 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b^{2}}}{d^{2}}\right)} + d^{3} {\left(\frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, b^{3} c^{3} + 12 i \, b^{2} c^{2} d - 18 \, b c d^{2} - 15 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{2 i \, {\left(4 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 12 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 12 i \, \sqrt{d x + c} b^{2} c^{2} d + 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 18 \, \sqrt{d x + c} b c d^{2} - 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, b^{3} c^{3} - 12 i \, b^{2} c^{2} d - 18 \, b c d^{2} + 15 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{2 i \, {\left(4 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 12 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 12 i \, \sqrt{d x + c} b^{2} c^{2} d - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + 18 \, \sqrt{d x + c} b c d^{2} - 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b^{3}}}{d^{3}}\right)} + 12 \, {\left(-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(2 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{i \, \sqrt{2} \sqrt{\pi} {\left(2 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{2 \, \sqrt{d x + c} d e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b} + \frac{2 \, \sqrt{d x + c} d e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b}\right)} c^{2}}{16 \, d}"," ",0,"-1/16*(8*(I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^3 + 6*c*d^2*((I*sqrt(2)*sqrt(pi)*(4*b^2*c^2 + 4*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*I*(2*I*(d*x + c)^(3/2)*b*d - 4*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b^2)/d^2 + (-I*sqrt(2)*sqrt(pi)*(4*b^2*c^2 - 4*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*I*(2*I*(d*x + c)^(3/2)*b*d - 4*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b^2)/d^2) + d^3*((-I*sqrt(2)*sqrt(pi)*(8*b^3*c^3 + 12*I*b^2*c^2*d - 18*b*c*d^2 - 15*I*d^3)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 2*I*(4*I*(d*x + c)^(5/2)*b^2*d - 12*I*(d*x + c)^(3/2)*b^2*c*d + 12*I*sqrt(d*x + c)*b^2*c^2*d + 10*(d*x + c)^(3/2)*b*d^2 - 18*sqrt(d*x + c)*b*c*d^2 - 15*I*sqrt(d*x + c)*d^3)*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b^3)/d^3 + (I*sqrt(2)*sqrt(pi)*(8*b^3*c^3 - 12*I*b^2*c^2*d - 18*b*c*d^2 + 15*I*d^3)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 2*I*(4*I*(d*x + c)^(5/2)*b^2*d - 12*I*(d*x + c)^(3/2)*b^2*c*d + 12*I*sqrt(d*x + c)*b^2*c^2*d - 10*(d*x + c)^(3/2)*b*d^2 + 18*sqrt(d*x + c)*b*c*d^2 - 15*I*sqrt(d*x + c)*d^3)*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b^3)/d^3) + 12*(-I*sqrt(2)*sqrt(pi)*(2*b*c + I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + I*sqrt(2)*sqrt(pi)*(2*b*c - I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 2*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 2*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b)*c^2)/d","C",0
39,1,779,0,2.181159," ","integrate((d*x+c)^(3/2)*sin(b*x+a),x, algorithm=""giac"")","-\frac{4 \, {\left(\frac{i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} - \frac{i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}\right)} c^{2} + d^{2} {\left(\frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(4 \, b^{2} c^{2} + 4 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 i \, {\left(2 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 4 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(4 \, b^{2} c^{2} - 4 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 i \, {\left(2 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 4 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b^{2}}}{d^{2}}\right)} + 4 \, {\left(-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(2 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{i \, \sqrt{2} \sqrt{\pi} {\left(2 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{2 \, \sqrt{d x + c} d e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b} + \frac{2 \, \sqrt{d x + c} d e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b}\right)} c}{8 \, d}"," ",0,"-1/8*(4*(I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^2 + d^2*((I*sqrt(2)*sqrt(pi)*(4*b^2*c^2 + 4*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*I*(2*I*(d*x + c)^(3/2)*b*d - 4*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b^2)/d^2 + (-I*sqrt(2)*sqrt(pi)*(4*b^2*c^2 - 4*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*I*(2*I*(d*x + c)^(3/2)*b*d - 4*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b^2)/d^2) + 4*(-I*sqrt(2)*sqrt(pi)*(2*b*c + I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + I*sqrt(2)*sqrt(pi)*(2*b*c - I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 2*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 2*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b)*c)/d","C",0
40,1,426,0,0.624417," ","integrate((d*x+c)^(1/2)*sin(b*x+a),x, algorithm=""giac"")","-\frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(2 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{i \, \sqrt{2} \sqrt{\pi} {\left(2 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + 2 \, {\left(\frac{i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} - \frac{i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}\right)} c + \frac{2 \, \sqrt{d x + c} d e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b} + \frac{2 \, \sqrt{d x + c} d e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b}}{4 \, d}"," ",0,"-1/4*(-I*sqrt(2)*sqrt(pi)*(2*b*c + I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + I*sqrt(2)*sqrt(pi)*(2*b*c - I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 2*(I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c + 2*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 2*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b)/d","C",0
41,1,168,0,0.470053," ","integrate(sin(b*x+a)/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{\frac{i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} - \frac{i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}}{2 \, d}"," ",0,"-1/2*(I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))/d","C",0
42,0,0,0,0.000000," ","integrate(sin(b*x+a)/(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)}{{\left(d x + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)/(d*x + c)^(3/2), x)","F",0
43,0,0,0,0.000000," ","integrate(sin(b*x+a)/(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)}{{\left(d x + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)/(d*x + c)^(5/2), x)","F",0
44,0,0,0,0.000000," ","integrate(sin(b*x+a)/(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)}{{\left(d x + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)/(d*x + c)^(7/2), x)","F",0
45,1,1310,0,1.163382," ","integrate((d*x+c)^(5/2)*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{2240 \, {\left(\frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{2 i \, b c - 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-2 i \, b c + 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + 4 \, \sqrt{d x + c}\right)} c^{3} + 28 \, c d^{2} {\left(\frac{64 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)}}{d^{2}} + \frac{15 \, {\left(\frac{\sqrt{\pi} {\left(16 \, b^{2} c^{2} + 8 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{2 i \, b c - 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 \, {\left(4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 8 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-2 i \, {\left(d x + c\right)} b + 2 i \, b c - 2 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{15 \, {\left(\frac{\sqrt{\pi} {\left(16 \, b^{2} c^{2} - 8 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-2 i \, b c + 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 \, {\left(-4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 8 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{2 i \, {\left(d x + c\right)} b - 2 i \, b c + 2 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} + d^{3} {\left(\frac{256 \, {\left(5 \, {\left(d x + c\right)}^{\frac{7}{2}} - 21 \, {\left(d x + c\right)}^{\frac{5}{2}} c + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} c^{2} - 35 \, \sqrt{d x + c} c^{3}\right)}}{d^{3}} - \frac{35 \, {\left(\frac{\sqrt{\pi} {\left(64 \, b^{3} c^{3} + 48 i \, b^{2} c^{2} d - 36 \, b c d^{2} - 15 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{2 i \, b c - 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} + \frac{2 \, {\left(16 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 48 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 48 i \, \sqrt{d x + c} b^{2} c^{2} d + 20 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 36 \, \sqrt{d x + c} b c d^{2} - 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-2 i \, {\left(d x + c\right)} b + 2 i \, b c - 2 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}} - \frac{35 \, {\left(\frac{\sqrt{\pi} {\left(64 \, b^{3} c^{3} - 48 i \, b^{2} c^{2} d - 36 \, b c d^{2} + 15 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-2 i \, b c + 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} + \frac{2 \, {\left(-16 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 48 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 48 i \, \sqrt{d x + c} b^{2} c^{2} d + 20 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 36 \, \sqrt{d x + c} b c d^{2} + 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{2 i \, {\left(d x + c\right)} b - 2 i \, b c + 2 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}}\right)} - 560 \, {\left(\frac{3 \, \sqrt{\pi} {\left(4 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{2 i \, b c - 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{3 \, \sqrt{\pi} {\left(4 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-2 i \, b c + 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - 16 \, {\left(d x + c\right)}^{\frac{3}{2}} + 48 \, \sqrt{d x + c} c - \frac{6 i \, \sqrt{d x + c} d e^{\left(\frac{2 i \, {\left(d x + c\right)} b - 2 i \, b c + 2 i \, a d}{d}\right)}}{b} + \frac{6 i \, \sqrt{d x + c} d e^{\left(\frac{-2 i \, {\left(d x + c\right)} b + 2 i \, b c - 2 i \, a d}{d}\right)}}{b}\right)} c^{2}}{8960 \, d}"," ",0,"1/8960*(2240*(sqrt(pi)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((2*I*b*c - 2*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + sqrt(pi)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-2*I*b*c + 2*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*sqrt(d*x + c))*c^3 + 28*c*d^2*(64*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)/d^2 + 15*(sqrt(pi)*(16*b^2*c^2 + 8*I*b*c*d - 3*d^2)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((2*I*b*c - 2*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*(4*I*(d*x + c)^(3/2)*b*d - 8*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b^2)/d^2 + 15*(sqrt(pi)*(16*b^2*c^2 - 8*I*b*c*d - 3*d^2)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-2*I*b*c + 2*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*(-4*I*(d*x + c)^(3/2)*b*d + 8*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b^2)/d^2) + d^3*(256*(5*(d*x + c)^(7/2) - 21*(d*x + c)^(5/2)*c + 35*(d*x + c)^(3/2)*c^2 - 35*sqrt(d*x + c)*c^3)/d^3 - 35*(sqrt(pi)*(64*b^3*c^3 + 48*I*b^2*c^2*d - 36*b*c*d^2 - 15*I*d^3)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((2*I*b*c - 2*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) + 2*(16*I*(d*x + c)^(5/2)*b^2*d - 48*I*(d*x + c)^(3/2)*b^2*c*d + 48*I*sqrt(d*x + c)*b^2*c^2*d + 20*(d*x + c)^(3/2)*b*d^2 - 36*sqrt(d*x + c)*b*c*d^2 - 15*I*sqrt(d*x + c)*d^3)*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b^3)/d^3 - 35*(sqrt(pi)*(64*b^3*c^3 - 48*I*b^2*c^2*d - 36*b*c*d^2 + 15*I*d^3)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-2*I*b*c + 2*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) + 2*(-16*I*(d*x + c)^(5/2)*b^2*d + 48*I*(d*x + c)^(3/2)*b^2*c*d - 48*I*sqrt(d*x + c)*b^2*c^2*d + 20*(d*x + c)^(3/2)*b*d^2 - 36*sqrt(d*x + c)*b*c*d^2 + 15*I*sqrt(d*x + c)*d^3)*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b^3)/d^3) - 560*(3*sqrt(pi)*(4*b*c + I*d)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((2*I*b*c - 2*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 3*sqrt(pi)*(4*b*c - I*d)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-2*I*b*c + 2*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 16*(d*x + c)^(3/2) + 48*sqrt(d*x + c)*c - 6*I*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 6*I*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b)*c^2)/d","C",0
46,1,806,0,0.920048," ","integrate((d*x+c)^(3/2)*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{240 \, {\left(\frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{2 i \, b c - 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-2 i \, b c + 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + 4 \, \sqrt{d x + c}\right)} c^{2} + d^{2} {\left(\frac{64 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} c + 15 \, \sqrt{d x + c} c^{2}\right)}}{d^{2}} + \frac{15 \, {\left(\frac{\sqrt{\pi} {\left(16 \, b^{2} c^{2} + 8 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{2 i \, b c - 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 \, {\left(4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 8 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-2 i \, {\left(d x + c\right)} b + 2 i \, b c - 2 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{15 \, {\left(\frac{\sqrt{\pi} {\left(16 \, b^{2} c^{2} - 8 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-2 i \, b c + 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 \, {\left(-4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 8 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{2 i \, {\left(d x + c\right)} b - 2 i \, b c + 2 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} - 40 \, {\left(\frac{3 \, \sqrt{\pi} {\left(4 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{2 i \, b c - 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{3 \, \sqrt{\pi} {\left(4 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-2 i \, b c + 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - 16 \, {\left(d x + c\right)}^{\frac{3}{2}} + 48 \, \sqrt{d x + c} c - \frac{6 i \, \sqrt{d x + c} d e^{\left(\frac{2 i \, {\left(d x + c\right)} b - 2 i \, b c + 2 i \, a d}{d}\right)}}{b} + \frac{6 i \, \sqrt{d x + c} d e^{\left(\frac{-2 i \, {\left(d x + c\right)} b + 2 i \, b c - 2 i \, a d}{d}\right)}}{b}\right)} c}{960 \, d}"," ",0,"1/960*(240*(sqrt(pi)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((2*I*b*c - 2*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + sqrt(pi)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-2*I*b*c + 2*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*sqrt(d*x + c))*c^2 + d^2*(64*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)/d^2 + 15*(sqrt(pi)*(16*b^2*c^2 + 8*I*b*c*d - 3*d^2)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((2*I*b*c - 2*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*(4*I*(d*x + c)^(3/2)*b*d - 8*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b^2)/d^2 + 15*(sqrt(pi)*(16*b^2*c^2 - 8*I*b*c*d - 3*d^2)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-2*I*b*c + 2*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*(-4*I*(d*x + c)^(3/2)*b*d + 8*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b^2)/d^2) - 40*(3*sqrt(pi)*(4*b*c + I*d)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((2*I*b*c - 2*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 3*sqrt(pi)*(4*b*c - I*d)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-2*I*b*c + 2*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 16*(d*x + c)^(3/2) + 48*sqrt(d*x + c)*c - 6*I*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 6*I*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b)*c)/d","C",0
47,1,428,0,1.156019," ","integrate((d*x+c)^(1/2)*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{12 \, {\left(\frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{2 i \, b c - 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-2 i \, b c + 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + 4 \, \sqrt{d x + c}\right)} c - \frac{3 \, \sqrt{\pi} {\left(4 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{2 i \, b c - 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{3 \, \sqrt{\pi} {\left(4 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-2 i \, b c + 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + 16 \, {\left(d x + c\right)}^{\frac{3}{2}} - 48 \, \sqrt{d x + c} c + \frac{6 i \, \sqrt{d x + c} d e^{\left(\frac{2 i \, {\left(d x + c\right)} b - 2 i \, b c + 2 i \, a d}{d}\right)}}{b} - \frac{6 i \, \sqrt{d x + c} d e^{\left(\frac{-2 i \, {\left(d x + c\right)} b + 2 i \, b c - 2 i \, a d}{d}\right)}}{b}}{48 \, d}"," ",0,"1/48*(12*(sqrt(pi)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((2*I*b*c - 2*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + sqrt(pi)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-2*I*b*c + 2*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*sqrt(d*x + c))*c - 3*sqrt(pi)*(4*b*c + I*d)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((2*I*b*c - 2*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - 3*sqrt(pi)*(4*b*c - I*d)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-2*I*b*c + 2*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 16*(d*x + c)^(3/2) - 48*sqrt(d*x + c)*c + 6*I*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b - 6*I*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b)/d","C",0
48,1,163,0,1.134751," ","integrate(sin(b*x+a)^2/(d*x+c)^(1/2),x, algorithm=""giac"")","\frac{\frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{2 i \, b c - 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-2 i \, b c + 2 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + 4 \, \sqrt{d x + c}}{4 \, d}"," ",0,"1/4*(sqrt(pi)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((2*I*b*c - 2*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + sqrt(pi)*d*erf(-sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-2*I*b*c + 2*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*sqrt(d*x + c))/d","C",0
49,0,0,0,0.000000," ","integrate(sin(b*x+a)^2/(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^2/(d*x + c)^(3/2), x)","F",0
50,0,0,0,0.000000," ","integrate(sin(b*x+a)^2/(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^2/(d*x + c)^(5/2), x)","F",0
51,0,0,0,0.000000," ","integrate(sin(b*x+a)^2/(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^2/(d*x + c)^(7/2), x)","F",0
52,0,0,0,0.000000," ","integrate(sin(b*x+a)^2/(d*x+c)^(9/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^2/(d*x + c)^(9/2), x)","F",0
53,1,2465,0,2.773829," ","integrate((d*x+c)^(5/2)*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{72 \, {\left(-\frac{i \, \sqrt{6} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{3 i \, b c - 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{9 i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} - \frac{9 i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{i \, \sqrt{6} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-3 i \, b c + 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}\right)} c^{3} + 18 \, c d^{2} {\left(\frac{-\frac{i \, \sqrt{6} \sqrt{\pi} {\left(12 \, b^{2} c^{2} + 4 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{3 i \, b c - 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{6 i \, {\left(-2 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 4 i \, \sqrt{d x + c} b c d - \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-3 i \, {\left(d x + c\right)} b + 3 i \, b c - 3 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{9 \, {\left(\frac{3 i \, \sqrt{2} \sqrt{\pi} {\left(4 \, b^{2} c^{2} + 4 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 i \, {\left(6 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 12 i \, \sqrt{d x + c} b c d + 9 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{9 \, {\left(-\frac{3 i \, \sqrt{2} \sqrt{\pi} {\left(4 \, b^{2} c^{2} - 4 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 i \, {\left(6 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 12 i \, \sqrt{d x + c} b c d - 9 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{\frac{i \, \sqrt{6} \sqrt{\pi} {\left(12 \, b^{2} c^{2} - 4 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-3 i \, b c + 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{6 i \, {\left(-2 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 4 i \, \sqrt{d x + c} b c d + \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{3 i \, {\left(d x + c\right)} b - 3 i \, b c + 3 i \, a d}{d}\right)}}{b^{2}}}{d^{2}}\right)} + d^{3} {\left(\frac{\frac{i \, \sqrt{6} \sqrt{\pi} {\left(72 \, b^{3} c^{3} + 36 i \, b^{2} c^{2} d - 18 \, b c d^{2} - 5 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{3 i \, b c - 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{6 i \, {\left(-12 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 36 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 36 i \, \sqrt{d x + c} b^{2} c^{2} d - 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + 18 \, \sqrt{d x + c} b c d^{2} + 5 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-3 i \, {\left(d x + c\right)} b + 3 i \, b c - 3 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{27 \, {\left(-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(24 \, b^{3} c^{3} + 36 i \, b^{2} c^{2} d - 54 \, b c d^{2} - 45 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{2 i \, {\left(12 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 36 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 36 i \, \sqrt{d x + c} b^{2} c^{2} d + 30 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 54 \, \sqrt{d x + c} b c d^{2} - 45 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}} + \frac{27 \, {\left(\frac{i \, \sqrt{2} \sqrt{\pi} {\left(24 \, b^{3} c^{3} - 36 i \, b^{2} c^{2} d - 54 \, b c d^{2} + 45 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{2 i \, {\left(12 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 36 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 36 i \, \sqrt{d x + c} b^{2} c^{2} d - 30 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + 54 \, \sqrt{d x + c} b c d^{2} - 45 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}} + \frac{-\frac{i \, \sqrt{6} \sqrt{\pi} {\left(72 \, b^{3} c^{3} - 36 i \, b^{2} c^{2} d - 18 \, b c d^{2} + 5 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-3 i \, b c + 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{6 i \, {\left(-12 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 36 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 36 i \, \sqrt{d x + c} b^{2} c^{2} d + 10 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 18 \, \sqrt{d x + c} b c d^{2} + 5 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{3 i \, {\left(d x + c\right)} b - 3 i \, b c + 3 i \, a d}{d}\right)}}{b^{3}}}{d^{3}}\right)} + 36 \, {\left(\frac{i \, \sqrt{6} \sqrt{\pi} {\left(6 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{3 i \, b c - 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{9 i \, \sqrt{2} \sqrt{\pi} {\left(6 \, b c + 3 i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{9 i \, \sqrt{2} \sqrt{\pi} {\left(6 \, b c - 3 i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{i \, \sqrt{6} \sqrt{\pi} {\left(6 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-3 i \, b c + 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{6 \, \sqrt{d x + c} d e^{\left(\frac{3 i \, {\left(d x + c\right)} b - 3 i \, b c + 3 i \, a d}{d}\right)}}{b} + \frac{54 \, \sqrt{d x + c} d e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b} + \frac{54 \, \sqrt{d x + c} d e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b} - \frac{6 \, \sqrt{d x + c} d e^{\left(\frac{-3 i \, {\left(d x + c\right)} b + 3 i \, b c - 3 i \, a d}{d}\right)}}{b}\right)} c^{2}}{1728 \, d}"," ",0,"-1/1728*(72*(-I*sqrt(6)*sqrt(pi)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((3*I*b*c - 3*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 9*I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - 9*I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(6)*sqrt(pi)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-3*I*b*c + 3*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^3 + 18*c*d^2*((-I*sqrt(6)*sqrt(pi)*(12*b^2*c^2 + 4*I*b*c*d - d^2)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((3*I*b*c - 3*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-2*I*(d*x + c)^(3/2)*b*d + 4*I*sqrt(d*x + c)*b*c*d - sqrt(d*x + c)*d^2)*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b^2)/d^2 + 9*(3*I*sqrt(2)*sqrt(pi)*(4*b^2*c^2 + 4*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*I*(6*I*(d*x + c)^(3/2)*b*d - 12*I*sqrt(d*x + c)*b*c*d + 9*sqrt(d*x + c)*d^2)*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b^2)/d^2 + 9*(-3*I*sqrt(2)*sqrt(pi)*(4*b^2*c^2 - 4*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*I*(6*I*(d*x + c)^(3/2)*b*d - 12*I*sqrt(d*x + c)*b*c*d - 9*sqrt(d*x + c)*d^2)*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b^2)/d^2 + (I*sqrt(6)*sqrt(pi)*(12*b^2*c^2 - 4*I*b*c*d - d^2)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-3*I*b*c + 3*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-2*I*(d*x + c)^(3/2)*b*d + 4*I*sqrt(d*x + c)*b*c*d + sqrt(d*x + c)*d^2)*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b^2)/d^2) + d^3*((I*sqrt(6)*sqrt(pi)*(72*b^3*c^3 + 36*I*b^2*c^2*d - 18*b*c*d^2 - 5*I*d^3)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((3*I*b*c - 3*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 6*I*(-12*I*(d*x + c)^(5/2)*b^2*d + 36*I*(d*x + c)^(3/2)*b^2*c*d - 36*I*sqrt(d*x + c)*b^2*c^2*d - 10*(d*x + c)^(3/2)*b*d^2 + 18*sqrt(d*x + c)*b*c*d^2 + 5*I*sqrt(d*x + c)*d^3)*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b^3)/d^3 + 27*(-I*sqrt(2)*sqrt(pi)*(24*b^3*c^3 + 36*I*b^2*c^2*d - 54*b*c*d^2 - 45*I*d^3)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 2*I*(12*I*(d*x + c)^(5/2)*b^2*d - 36*I*(d*x + c)^(3/2)*b^2*c*d + 36*I*sqrt(d*x + c)*b^2*c^2*d + 30*(d*x + c)^(3/2)*b*d^2 - 54*sqrt(d*x + c)*b*c*d^2 - 45*I*sqrt(d*x + c)*d^3)*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b^3)/d^3 + 27*(I*sqrt(2)*sqrt(pi)*(24*b^3*c^3 - 36*I*b^2*c^2*d - 54*b*c*d^2 + 45*I*d^3)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 2*I*(12*I*(d*x + c)^(5/2)*b^2*d - 36*I*(d*x + c)^(3/2)*b^2*c*d + 36*I*sqrt(d*x + c)*b^2*c^2*d - 30*(d*x + c)^(3/2)*b*d^2 + 54*sqrt(d*x + c)*b*c*d^2 - 45*I*sqrt(d*x + c)*d^3)*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b^3)/d^3 + (-I*sqrt(6)*sqrt(pi)*(72*b^3*c^3 - 36*I*b^2*c^2*d - 18*b*c*d^2 + 5*I*d^3)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-3*I*b*c + 3*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 6*I*(-12*I*(d*x + c)^(5/2)*b^2*d + 36*I*(d*x + c)^(3/2)*b^2*c*d - 36*I*sqrt(d*x + c)*b^2*c^2*d + 10*(d*x + c)^(3/2)*b*d^2 - 18*sqrt(d*x + c)*b*c*d^2 + 5*I*sqrt(d*x + c)*d^3)*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b^3)/d^3) + 36*(I*sqrt(6)*sqrt(pi)*(6*b*c + I*d)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((3*I*b*c - 3*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - 9*I*sqrt(2)*sqrt(pi)*(6*b*c + 3*I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 9*I*sqrt(2)*sqrt(pi)*(6*b*c - 3*I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(6)*sqrt(pi)*(6*b*c - I*d)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-3*I*b*c + 3*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 6*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b - 6*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b)*c^2)/d","C",0
54,1,1538,0,3.206766," ","integrate((d*x+c)^(3/2)*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{12 \, {\left(-\frac{i \, \sqrt{6} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{3 i \, b c - 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{9 i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} - \frac{9 i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{i \, \sqrt{6} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-3 i \, b c + 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}\right)} c^{2} + d^{2} {\left(\frac{-\frac{i \, \sqrt{6} \sqrt{\pi} {\left(12 \, b^{2} c^{2} + 4 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{3 i \, b c - 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{6 i \, {\left(-2 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 4 i \, \sqrt{d x + c} b c d - \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-3 i \, {\left(d x + c\right)} b + 3 i \, b c - 3 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{9 \, {\left(\frac{3 i \, \sqrt{2} \sqrt{\pi} {\left(4 \, b^{2} c^{2} + 4 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 i \, {\left(6 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 12 i \, \sqrt{d x + c} b c d + 9 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{9 \, {\left(-\frac{3 i \, \sqrt{2} \sqrt{\pi} {\left(4 \, b^{2} c^{2} - 4 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{2 i \, {\left(6 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 12 i \, \sqrt{d x + c} b c d - 9 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{\frac{i \, \sqrt{6} \sqrt{\pi} {\left(12 \, b^{2} c^{2} - 4 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-3 i \, b c + 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{6 i \, {\left(-2 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 4 i \, \sqrt{d x + c} b c d + \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{3 i \, {\left(d x + c\right)} b - 3 i \, b c + 3 i \, a d}{d}\right)}}{b^{2}}}{d^{2}}\right)} + 4 \, {\left(\frac{i \, \sqrt{6} \sqrt{\pi} {\left(6 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{3 i \, b c - 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{9 i \, \sqrt{2} \sqrt{\pi} {\left(6 \, b c + 3 i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{9 i \, \sqrt{2} \sqrt{\pi} {\left(6 \, b c - 3 i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{i \, \sqrt{6} \sqrt{\pi} {\left(6 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-3 i \, b c + 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{6 \, \sqrt{d x + c} d e^{\left(\frac{3 i \, {\left(d x + c\right)} b - 3 i \, b c + 3 i \, a d}{d}\right)}}{b} + \frac{54 \, \sqrt{d x + c} d e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b} + \frac{54 \, \sqrt{d x + c} d e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b} - \frac{6 \, \sqrt{d x + c} d e^{\left(\frac{-3 i \, {\left(d x + c\right)} b + 3 i \, b c - 3 i \, a d}{d}\right)}}{b}\right)} c}{288 \, d}"," ",0,"-1/288*(12*(-I*sqrt(6)*sqrt(pi)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((3*I*b*c - 3*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 9*I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - 9*I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(6)*sqrt(pi)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-3*I*b*c + 3*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^2 + d^2*((-I*sqrt(6)*sqrt(pi)*(12*b^2*c^2 + 4*I*b*c*d - d^2)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((3*I*b*c - 3*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-2*I*(d*x + c)^(3/2)*b*d + 4*I*sqrt(d*x + c)*b*c*d - sqrt(d*x + c)*d^2)*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b^2)/d^2 + 9*(3*I*sqrt(2)*sqrt(pi)*(4*b^2*c^2 + 4*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*I*(6*I*(d*x + c)^(3/2)*b*d - 12*I*sqrt(d*x + c)*b*c*d + 9*sqrt(d*x + c)*d^2)*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b^2)/d^2 + 9*(-3*I*sqrt(2)*sqrt(pi)*(4*b^2*c^2 - 4*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 2*I*(6*I*(d*x + c)^(3/2)*b*d - 12*I*sqrt(d*x + c)*b*c*d - 9*sqrt(d*x + c)*d^2)*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b^2)/d^2 + (I*sqrt(6)*sqrt(pi)*(12*b^2*c^2 - 4*I*b*c*d - d^2)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-3*I*b*c + 3*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-2*I*(d*x + c)^(3/2)*b*d + 4*I*sqrt(d*x + c)*b*c*d + sqrt(d*x + c)*d^2)*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b^2)/d^2) + 4*(I*sqrt(6)*sqrt(pi)*(6*b*c + I*d)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((3*I*b*c - 3*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - 9*I*sqrt(2)*sqrt(pi)*(6*b*c + 3*I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 9*I*sqrt(2)*sqrt(pi)*(6*b*c - 3*I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(6)*sqrt(pi)*(6*b*c - I*d)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-3*I*b*c + 3*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 6*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b - 6*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b)*c)/d","C",0
55,1,842,0,0.981403," ","integrate((d*x+c)^(1/2)*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{i \, \sqrt{6} \sqrt{\pi} {\left(6 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{3 i \, b c - 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{9 i \, \sqrt{2} \sqrt{\pi} {\left(6 \, b c + 3 i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{9 i \, \sqrt{2} \sqrt{\pi} {\left(6 \, b c - 3 i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{i \, \sqrt{6} \sqrt{\pi} {\left(6 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-3 i \, b c + 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + 6 \, {\left(-\frac{i \, \sqrt{6} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{3 i \, b c - 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{9 i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} - \frac{9 i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{i \, \sqrt{6} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-3 i \, b c + 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}\right)} c - \frac{6 \, \sqrt{d x + c} d e^{\left(\frac{3 i \, {\left(d x + c\right)} b - 3 i \, b c + 3 i \, a d}{d}\right)}}{b} + \frac{54 \, \sqrt{d x + c} d e^{\left(\frac{i \, {\left(d x + c\right)} b - i \, b c + i \, a d}{d}\right)}}{b} + \frac{54 \, \sqrt{d x + c} d e^{\left(\frac{-i \, {\left(d x + c\right)} b + i \, b c - i \, a d}{d}\right)}}{b} - \frac{6 \, \sqrt{d x + c} d e^{\left(\frac{-3 i \, {\left(d x + c\right)} b + 3 i \, b c - 3 i \, a d}{d}\right)}}{b}}{144 \, d}"," ",0,"-1/144*(I*sqrt(6)*sqrt(pi)*(6*b*c + I*d)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((3*I*b*c - 3*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - 9*I*sqrt(2)*sqrt(pi)*(6*b*c + 3*I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 9*I*sqrt(2)*sqrt(pi)*(6*b*c - 3*I*d)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(6)*sqrt(pi)*(6*b*c - I*d)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-3*I*b*c + 3*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 6*(-I*sqrt(6)*sqrt(pi)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((3*I*b*c - 3*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 9*I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - 9*I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(6)*sqrt(pi)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-3*I*b*c + 3*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c - 6*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b - 6*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b)/d","C",0
56,1,330,0,0.930981," ","integrate(sin(b*x+a)^3/(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{-\frac{i \, \sqrt{6} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{3 i \, b c - 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{9 i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{i \, b c - i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} - \frac{9 i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-i \, b c + i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{i \, \sqrt{6} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{6} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{2 \, d}\right) e^{\left(\frac{-3 i \, b c + 3 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}}{24 \, d}"," ",0,"-1/24*(-I*sqrt(6)*sqrt(pi)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((3*I*b*c - 3*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 9*I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((I*b*c - I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - 9*I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-I*b*c + I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(6)*sqrt(pi)*d*erf(-1/2*sqrt(6)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-3*I*b*c + 3*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))/d","C",0
57,0,0,0,0.000000," ","integrate(sin(b*x+a)^3/(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{3}}{{\left(d x + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^3/(d*x + c)^(3/2), x)","F",0
58,0,0,0,0.000000," ","integrate(sin(b*x+a)^3/(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{3}}{{\left(d x + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^3/(d*x + c)^(5/2), x)","F",0
59,0,0,0,0.000000," ","integrate(sin(b*x+a)^3/(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{3}}{{\left(d x + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^3/(d*x + c)^(7/2), x)","F",0
60,1,220,0,0.926279," ","integrate((d*x)^(3/2)*sin(f*x),x, algorithm=""giac"")","-\frac{1}{8} \, d {\left(\frac{-\frac{3 i \, \sqrt{2} \sqrt{\pi} d^{3} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{d f} \sqrt{d x} {\left(\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)}}{2 \, d}\right)}{\sqrt{d f} {\left(\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)} f^{2}} - \frac{2 i \, {\left(2 i \, \sqrt{d x} d^{2} f x + 3 \, \sqrt{d x} d^{2}\right)} e^{\left(-i \, f x\right)}}{f^{2}}}{d^{2}} + \frac{\frac{3 i \, \sqrt{2} \sqrt{\pi} d^{3} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{d f} \sqrt{d x} {\left(-\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)}}{2 \, d}\right)}{\sqrt{d f} {\left(-\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)} f^{2}} - \frac{2 i \, {\left(2 i \, \sqrt{d x} d^{2} f x - 3 \, \sqrt{d x} d^{2}\right)} e^{\left(i \, f x\right)}}{f^{2}}}{d^{2}}\right)}"," ",0,"-1/8*d*((-3*I*sqrt(2)*sqrt(pi)*d^3*erf(-1/2*sqrt(2)*sqrt(d*f)*sqrt(d*x)*(I*d*f/sqrt(d^2*f^2) + 1)/d)/(sqrt(d*f)*(I*d*f/sqrt(d^2*f^2) + 1)*f^2) - 2*I*(2*I*sqrt(d*x)*d^2*f*x + 3*sqrt(d*x)*d^2)*e^(-I*f*x)/f^2)/d^2 + (3*I*sqrt(2)*sqrt(pi)*d^3*erf(-1/2*sqrt(2)*sqrt(d*f)*sqrt(d*x)*(-I*d*f/sqrt(d^2*f^2) + 1)/d)/(sqrt(d*f)*(-I*d*f/sqrt(d^2*f^2) + 1)*f^2) - 2*I*(2*I*sqrt(d*x)*d^2*f*x - 3*sqrt(d*x)*d^2)*e^(I*f*x)/f^2)/d^2)","C",0
61,1,176,0,0.758008," ","integrate((d*x)^(1/2)*sin(f*x),x, algorithm=""giac"")","-\frac{\frac{\sqrt{2} \sqrt{\pi} d^{2} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{d f} \sqrt{d x} {\left(\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)}}{2 \, d}\right)}{\sqrt{d f} {\left(\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)} f} + \frac{\sqrt{2} \sqrt{\pi} d^{2} \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{d f} \sqrt{d x} {\left(-\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)}}{2 \, d}\right)}{\sqrt{d f} {\left(-\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)} f} + \frac{2 \, \sqrt{d x} d e^{\left(i \, f x\right)}}{f} + \frac{2 \, \sqrt{d x} d e^{\left(-i \, f x\right)}}{f}}{4 \, d}"," ",0,"-1/4*(sqrt(2)*sqrt(pi)*d^2*erf(-1/2*sqrt(2)*sqrt(d*f)*sqrt(d*x)*(I*d*f/sqrt(d^2*f^2) + 1)/d)/(sqrt(d*f)*(I*d*f/sqrt(d^2*f^2) + 1)*f) + sqrt(2)*sqrt(pi)*d^2*erf(-1/2*sqrt(2)*sqrt(d*f)*sqrt(d*x)*(-I*d*f/sqrt(d^2*f^2) + 1)/d)/(sqrt(d*f)*(-I*d*f/sqrt(d^2*f^2) + 1)*f) + 2*sqrt(d*x)*d*e^(I*f*x)/f + 2*sqrt(d*x)*d*e^(-I*f*x)/f)/d","C",0
62,1,136,0,0.366141," ","integrate(sin(f*x)/(d*x)^(1/2),x, algorithm=""giac"")","-\frac{\frac{i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{d f} \sqrt{d x} {\left(\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)}}{2 \, d}\right)}{\sqrt{d f} {\left(\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)}} - \frac{i \, \sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{d f} \sqrt{d x} {\left(-\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)}}{2 \, d}\right)}{\sqrt{d f} {\left(-\frac{i \, d f}{\sqrt{d^{2} f^{2}}} + 1\right)}}}{2 \, d}"," ",0,"-1/2*(I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(d*f)*sqrt(d*x)*(I*d*f/sqrt(d^2*f^2) + 1)/d)/(sqrt(d*f)*(I*d*f/sqrt(d^2*f^2) + 1)) - I*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(d*f)*sqrt(d*x)*(-I*d*f/sqrt(d^2*f^2) + 1)/d)/(sqrt(d*f)*(-I*d*f/sqrt(d^2*f^2) + 1)))/d","C",0
63,0,0,0,0.000000," ","integrate(sin(f*x)/(d*x)^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x\right)}{\left(d x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x)/(d*x)^(3/2), x)","F",0
64,0,0,0,0.000000," ","integrate(sin(f*x)/(d*x)^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x\right)}{\left(d x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(f*x)/(d*x)^(5/2), x)","F",0
65,0,0,0,0.000000," ","integrate(csc(b*x+a)*(d*x+c)^(1/2),x, algorithm=""giac"")","\int \sqrt{d x + c} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate(sqrt(d*x + c)*csc(b*x + a), x)","F",0
66,0,0,0,0.000000," ","integrate(csc(b*x+a)/(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)}{\sqrt{d x + c}}\,{d x}"," ",0,"integrate(csc(b*x + a)/sqrt(d*x + c), x)","F",0
67,0,0,0,0.000000," ","integrate(x/sin(f*x+e)^(3/2)+x*sin(f*x+e)^(1/2),x, algorithm=""giac"")","\int x \sqrt{\sin\left(f x + e\right)} + \frac{x}{\sin\left(f x + e\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*sqrt(sin(f*x + e)) + x/sin(f*x + e)^(3/2), x)","F",0
68,0,0,0,0.000000," ","integrate(x^2/sin(f*x+e)^(3/2)+x^2*sin(f*x+e)^(1/2),x, algorithm=""giac"")","\int x^{2} \sqrt{\sin\left(f x + e\right)} + \frac{x^{2}}{\sin\left(f x + e\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2*sqrt(sin(f*x + e)) + x^2/sin(f*x + e)^(3/2), x)","F",0
69,0,0,0,0.000000," ","integrate(x/sin(f*x+e)^(5/2)-1/3*x/sin(f*x+e)^(1/2),x, algorithm=""giac"")","\int -\frac{x}{3 \, \sqrt{\sin\left(f x + e\right)}} + \frac{x}{\sin\left(f x + e\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(-1/3*x/sqrt(sin(f*x + e)) + x/sin(f*x + e)^(5/2), x)","F",0
70,0,0,0,0.000000," ","integrate(x/sin(f*x+e)^(7/2)+3/5*x*sin(f*x+e)^(1/2),x, algorithm=""giac"")","\int \frac{3}{5} \, x \sqrt{\sin\left(f x + e\right)} + \frac{x}{\sin\left(f x + e\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(3/5*x*sqrt(sin(f*x + e)) + x/sin(f*x + e)^(7/2), x)","F",0
71,0,0,0,0.000000," ","integrate((d*x+c)^m*(b*sin(f*x+e))^n,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \left(b \sin\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((d*x + c)^m*(b*sin(f*x + e))^n, x)","F",0
72,0,0,0,0.000000," ","integrate((d*x+c)^m*sin(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*sin(b*x + a)^3, x)","F",0
73,0,0,0,0.000000," ","integrate((d*x+c)^m*sin(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*sin(b*x + a)^2, x)","F",0
74,0,0,0,0.000000," ","integrate((d*x+c)^m*sin(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*sin(b*x + a), x)","F",0
75,0,0,0,0.000000," ","integrate((d*x+c)^m*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*csc(b*x + a), x)","F",0
76,0,0,0,0.000000," ","integrate((d*x+c)^m*csc(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*csc(b*x + a)^2, x)","F",0
77,0,0,0,0.000000," ","integrate(x^(3+m)*sin(b*x+a),x, algorithm=""giac"")","\int x^{m + 3} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m + 3)*sin(b*x + a), x)","F",0
78,0,0,0,0.000000," ","integrate(x^(2+m)*sin(b*x+a),x, algorithm=""giac"")","\int x^{m + 2} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m + 2)*sin(b*x + a), x)","F",0
79,0,0,0,0.000000," ","integrate(x^(1+m)*sin(b*x+a),x, algorithm=""giac"")","\int x^{m + 1} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m + 1)*sin(b*x + a), x)","F",0
80,0,0,0,0.000000," ","integrate(x^m*sin(b*x+a),x, algorithm=""giac"")","\int x^{m} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*sin(b*x + a), x)","F",0
81,0,0,0,0.000000," ","integrate(x^(-1+m)*sin(b*x+a),x, algorithm=""giac"")","\int x^{m - 1} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m - 1)*sin(b*x + a), x)","F",0
82,0,0,0,0.000000," ","integrate(x^(-2+m)*sin(b*x+a),x, algorithm=""giac"")","\int x^{m - 2} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m - 2)*sin(b*x + a), x)","F",0
83,0,0,0,0.000000," ","integrate(x^(-3+m)*sin(b*x+a),x, algorithm=""giac"")","\int x^{m - 3} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x^(m - 3)*sin(b*x + a), x)","F",0
84,0,0,0,0.000000," ","integrate(x^(3+m)*sin(b*x+a)^2,x, algorithm=""giac"")","\int x^{m + 3} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m + 3)*sin(b*x + a)^2, x)","F",0
85,0,0,0,0.000000," ","integrate(x^(2+m)*sin(b*x+a)^2,x, algorithm=""giac"")","\int x^{m + 2} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m + 2)*sin(b*x + a)^2, x)","F",0
86,0,0,0,0.000000," ","integrate(x^(1+m)*sin(b*x+a)^2,x, algorithm=""giac"")","\int x^{m + 1} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m + 1)*sin(b*x + a)^2, x)","F",0
87,0,0,0,0.000000," ","integrate(x^m*sin(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*sin(b*x + a)^2, x)","F",0
88,0,0,0,0.000000," ","integrate(x^(-1+m)*sin(b*x+a)^2,x, algorithm=""giac"")","\int x^{m - 1} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m - 1)*sin(b*x + a)^2, x)","F",0
89,0,0,0,0.000000," ","integrate(x^(-2+m)*sin(b*x+a)^2,x, algorithm=""giac"")","\int x^{m - 2} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m - 2)*sin(b*x + a)^2, x)","F",0
90,0,0,0,0.000000," ","integrate(x^(-3+m)*sin(b*x+a)^2,x, algorithm=""giac"")","\int x^{m - 3} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^(m - 3)*sin(b*x + a)^2, x)","F",0
91,0,0,0,0.000000," ","integrate(x/csc(f*x+e)^(3/2)-1/3*x*csc(f*x+e)^(1/2),x, algorithm=""giac"")","\int -\frac{1}{3} \, x \sqrt{\csc\left(f x + e\right)} + \frac{x}{\csc\left(f x + e\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-1/3*x*sqrt(csc(f*x + e)) + x/csc(f*x + e)^(3/2), x)","F",0
92,0,0,0,0.000000," ","integrate(x^2/csc(f*x+e)^(3/2)-1/3*x^2*csc(f*x+e)^(1/2),x, algorithm=""giac"")","\int -\frac{1}{3} \, x^{2} \sqrt{\csc\left(f x + e\right)} + \frac{x^{2}}{\csc\left(f x + e\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(-1/3*x^2*sqrt(csc(f*x + e)) + x^2/csc(f*x + e)^(3/2), x)","F",0
93,0,0,0,0.000000," ","integrate(x/csc(f*x+e)^(5/2)-3/5*x/csc(f*x+e)^(1/2),x, algorithm=""giac"")","\int -\frac{3 \, x}{5 \, \sqrt{\csc\left(f x + e\right)}} + \frac{x}{\csc\left(f x + e\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(-3/5*x/sqrt(csc(f*x + e)) + x/csc(f*x + e)^(5/2), x)","F",0
94,0,0,0,0.000000," ","integrate(x/csc(f*x+e)^(7/2)-5/21*x*csc(f*x+e)^(1/2),x, algorithm=""giac"")","\int -\frac{5}{21} \, x \sqrt{\csc\left(f x + e\right)} + \frac{x}{\csc\left(f x + e\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(-5/21*x*sqrt(csc(f*x + e)) + x/csc(f*x + e)^(7/2), x)","F",0
95,1,157,0,0.353079," ","integrate((d*x+c)^3*(a+a*sin(f*x+e)),x, algorithm=""giac"")","\frac{1}{4} \, a d^{3} x^{4} + a c d^{2} x^{3} + \frac{3}{2} \, a c^{2} d x^{2} + a c^{3} x - \frac{{\left(a d^{3} f^{3} x^{3} + 3 \, a c d^{2} f^{3} x^{2} + 3 \, a c^{2} d f^{3} x + a c^{3} f^{3} - 6 \, a d^{3} f x - 6 \, a c d^{2} f\right)} \cos\left(f x + e\right)}{f^{4}} + \frac{3 \, {\left(a d^{3} f^{2} x^{2} + 2 \, a c d^{2} f^{2} x + a c^{2} d f^{2} - 2 \, a d^{3}\right)} \sin\left(f x + e\right)}{f^{4}}"," ",0,"1/4*a*d^3*x^4 + a*c*d^2*x^3 + 3/2*a*c^2*d*x^2 + a*c^3*x - (a*d^3*f^3*x^3 + 3*a*c*d^2*f^3*x^2 + 3*a*c^2*d*f^3*x + a*c^3*f^3 - 6*a*d^3*f*x - 6*a*c*d^2*f)*cos(f*x + e)/f^4 + 3*(a*d^3*f^2*x^2 + 2*a*c*d^2*f^2*x + a*c^2*d*f^2 - 2*a*d^3)*sin(f*x + e)/f^4","A",0
96,1,95,0,0.285985," ","integrate((d*x+c)^2*(a+a*sin(f*x+e)),x, algorithm=""giac"")","\frac{1}{3} \, a d^{2} x^{3} + a c d x^{2} + a c^{2} x - \frac{{\left(a d^{2} f^{2} x^{2} + 2 \, a c d f^{2} x + a c^{2} f^{2} - 2 \, a d^{2}\right)} \cos\left(f x + e\right)}{f^{3}} + \frac{2 \, {\left(a d^{2} f x + a c d f\right)} \sin\left(f x + e\right)}{f^{3}}"," ",0,"1/3*a*d^2*x^3 + a*c*d*x^2 + a*c^2*x - (a*d^2*f^2*x^2 + 2*a*c*d*f^2*x + a*c^2*f^2 - 2*a*d^2)*cos(f*x + e)/f^3 + 2*(a*d^2*f*x + a*c*d*f)*sin(f*x + e)/f^3","A",0
97,1,47,0,3.742550," ","integrate((d*x+c)*(a+a*sin(f*x+e)),x, algorithm=""giac"")","\frac{1}{2} \, a d x^{2} + a c x + \frac{a d \sin\left(f x + e\right)}{f^{2}} - \frac{{\left(a d f x + a c f\right)} \cos\left(f x + e\right)}{f^{2}}"," ",0,"1/2*a*d*x^2 + a*c*x + a*d*sin(f*x + e)/f^2 - (a*d*f*x + a*c*f)*cos(f*x + e)/f^2","A",0
98,1,712,0,0.402212," ","integrate((a+a*sin(f*x+e))/(d*x+c),x, algorithm=""giac"")","\frac{a \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - a \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, a \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 2 \, a \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - a \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + a \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, a \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, a \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 8 \, a \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - a \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + a \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a \log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 2 \, a \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) + 2 \, a \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 2 \, a \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + a \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) - a \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) + 2 \, a \log\left({\left| d x + c \right|}\right) + 2 \, a \operatorname{Si}\left(\frac{d f x + c f}{d}\right)}{2 \, {\left(d \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d \tan\left(\frac{c f}{2 \, d}\right)^{2} + d \tan\left(\frac{1}{2} \, e\right)^{2} + d\right)}}"," ",0,"1/2*(a*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - a*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*log(abs(d*x + c))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*a*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*a*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) + 2*a*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*a*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 - a*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2 + a*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2 + 2*a*log(abs(d*x + c))*tan(1/2*c*f/d)^2 - 2*a*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2 + 4*a*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) - 4*a*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) + 8*a*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e) - a*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2 + a*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2 + 2*a*log(abs(d*x + c))*tan(1/2*e)^2 - 2*a*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2 - 2*a*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d) - 2*a*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d) + 2*a*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e) + 2*a*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e) + a*imag_part(cos_integral(f*x + c*f/d)) - a*imag_part(cos_integral(-f*x - c*f/d)) + 2*a*log(abs(d*x + c)) + 2*a*sin_integral((d*f*x + c*f)/d))/(d*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + d*tan(1/2*c*f/d)^2 + d*tan(1/2*e)^2 + d)","C",0
99,1,578,0,0.880261," ","integrate((a+a*sin(f*x+e))/(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left({\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{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) - c f^{3} \cos\left(\frac{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) + d f^{2} \cos\left(\frac{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e + {\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{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) - c f^{3} \sin\left(\frac{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) + d f^{2} e \sin\left(\frac{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) - d f^{2} \sin\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)\right)} a d^{2}}{{\left({\left(d x + c\right)} d^{4} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c d^{4} f + d^{5} e\right)} f} - \frac{a}{{\left(d x + c\right)} d}"," ",0,"((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - c*f^3*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + d*f^2*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e + (d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - c*f^3*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + d*f^2*e*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - d*f^2*sin((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d))*a*d^2/(((d*x + c)*d^4*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*d^4*f + d^5*e)*f) - a/((d*x + c)*d)","B",0
100,1,6157,0,1.355813," ","integrate((a+a*sin(f*x+e))/(d*x+c)^3,x, algorithm=""giac"")","-\frac{a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, a d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 8 \, a d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} - 4 \, a c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 8 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 8 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 16 \, a c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} f x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} - a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} + 2 \, a d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} - 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, a d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, a c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 4 \, a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 8 \, a d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 4 \, a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 8 \, a c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c d f \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} - 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} + 4 \, a c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} - 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 4 \, a c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, a d^{2} f x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 2 \, a d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 8 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 8 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 16 \, a c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 8 \, a d^{2} f x \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} f x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a d^{2} f x \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) - a d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) + 2 \, a d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) + a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} - a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} + 2 \, a c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} - 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, a c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, a c d f \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 4 \, a c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 4 \, a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 8 \, a c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 8 \, a c d f \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 4 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c d f \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a c d f \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) - 2 \, a c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) + 4 \, a c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) - 2 \, a d^{2} f x \tan\left(\frac{1}{2} \, f x\right)^{2} - 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) + 2 \, a d^{2} f x \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 2 \, a c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) - 8 \, a d^{2} f x \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - 2 \, a d^{2} f x \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) - a c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) + 2 \, a c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) - 2 \, a c d f \tan\left(\frac{1}{2} \, f x\right)^{2} + 2 \, a c d f \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 8 \, a c d f \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 4 \, a d^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, a c d f \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} f x + 2 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} + 2 \, a d^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a d^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a c d f + 4 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right) + 4 \, a d^{2} \tan\left(\frac{1}{2} \, e\right) + 2 \, a d^{2}}{4 \, {\left(d^{5} x^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d^{5} x^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} + d^{5} x^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + c^{2} d^{3} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, f x\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, e\right)^{2} + d^{5} x^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, f x\right)^{2} + c^{2} d^{3} \tan\left(\frac{c f}{2 \, d}\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"-1/4*(a*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - a*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*a*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*a*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) + 2*a*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*a*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*a*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*a*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 4*a*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - a*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + a*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 - 2*a*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 4*a*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 4*a*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) + 8*a*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 4*a*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 4*a*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - a*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 + a*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*a*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*e)^2 + 4*a*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 4*a*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + a*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - a*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + a*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - a*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*a*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - 2*a*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - 2*a*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 2*a*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 - 4*a*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 2*a*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 2*a*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 8*a*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 8*a*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) + 16*a*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 2*a*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*a*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*a*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*a*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*a*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*a*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 - 4*a*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*a*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*a*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*a*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*a*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*a*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*a*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 4*a*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*d^2*f*x*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + a*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2 - a*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2 + 2*a*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2 - 4*a*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - 4*a*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - a*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2 + a*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2 - 2*a*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2 - a*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + a*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 - 2*a*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 4*a*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 4*a*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 4*a*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) - 4*a*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) + 8*a*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e) + 4*a*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 4*a*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) + 8*a*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 4*a*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 4*a*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - a*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2 + a*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2 - 2*a*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2 - a*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 + a*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*a*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*e)^2 + 4*a*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 4*a*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + a*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - a*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*c*d*f*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2 - 2*a*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2 + 4*a*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2 - 2*a*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d) - 2*a*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d) - 2*a*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - 2*a*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - 2*a*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2 + 2*a*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2 - 4*a*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2 - 2*a*d^2*f*x*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 2*a*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e) + 2*a*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e) + 2*a*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 2*a*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 8*a*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) - 8*a*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) + 16*a*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e) - 2*a*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*a*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 8*a*d^2*f*x*tan(1/2*f*x)*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*a*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2 + 2*a*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2 - 4*a*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2 + 2*a*d^2*f*x*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*a*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*a*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 - 2*a*d^2*f*x*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*d^2*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + a*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d)) - a*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d)) + 2*a*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d) + a*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2 - a*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2 + 2*a*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2 - 4*a*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d) - 4*a*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d) - a*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2 + a*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2 - 2*a*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2 - 2*a*c*d*f*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 4*a*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e) + 4*a*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e) + 4*a*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) - 4*a*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) + 8*a*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e) - 8*a*c*d*f*tan(1/2*f*x)*tan(1/2*c*f/d)^2*tan(1/2*e) - 4*a*d^2*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - a*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2 + a*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2 - 2*a*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2 + 2*a*c*d*f*tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*a*c*d*f*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*a*d^2*tan(1/2*f*x)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d)) - 2*a*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d)) + 4*a*c*d*f^2*x*sin_integral((d*f*x + c*f)/d) - 2*a*d^2*f*x*tan(1/2*f*x)^2 - 2*a*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d) - 2*a*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d) + 2*a*d^2*f*x*tan(1/2*c*f/d)^2 + 2*a*d^2*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 2*a*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e) + 2*a*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e) - 8*a*d^2*f*x*tan(1/2*f*x)*tan(1/2*e) - 2*a*d^2*f*x*tan(1/2*e)^2 + 2*a*d^2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*a*d^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + a*c^2*f^2*imag_part(cos_integral(f*x + c*f/d)) - a*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d)) + 2*a*c^2*f^2*sin_integral((d*f*x + c*f)/d) - 2*a*c*d*f*tan(1/2*f*x)^2 + 2*a*c*d*f*tan(1/2*c*f/d)^2 + 4*a*d^2*tan(1/2*f*x)*tan(1/2*c*f/d)^2 - 8*a*c*d*f*tan(1/2*f*x)*tan(1/2*e) - 4*a*d^2*tan(1/2*f*x)^2*tan(1/2*e) + 4*a*d^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*a*c*d*f*tan(1/2*e)^2 - 4*a*d^2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*a*d^2*f*x + 2*a*d^2*tan(1/2*f*x)^2 + 2*a*d^2*tan(1/2*c*f/d)^2 + 2*a*d^2*tan(1/2*e)^2 + 2*a*c*d*f + 4*a*d^2*tan(1/2*f*x) + 4*a*d^2*tan(1/2*e) + 2*a*d^2)/(d^5*x^2*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*c*d^4*x*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + d^5*x^2*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + d^5*x^2*tan(1/2*f*x)^2*tan(1/2*e)^2 + d^5*x^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + c^2*d^3*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*c*d^4*x*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 2*c*d^4*x*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*c*d^4*x*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + d^5*x^2*tan(1/2*f*x)^2 + d^5*x^2*tan(1/2*c*f/d)^2 + c^2*d^3*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + d^5*x^2*tan(1/2*e)^2 + c^2*d^3*tan(1/2*f*x)^2*tan(1/2*e)^2 + c^2*d^3*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*c*d^4*x*tan(1/2*f*x)^2 + 2*c*d^4*x*tan(1/2*c*f/d)^2 + 2*c*d^4*x*tan(1/2*e)^2 + d^5*x^2 + c^2*d^3*tan(1/2*f*x)^2 + c^2*d^3*tan(1/2*c*f/d)^2 + c^2*d^3*tan(1/2*e)^2 + 2*c*d^4*x + c^2*d^3)","C",0
101,1,339,0,2.042418," ","integrate((d*x+c)^3*(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{3}{8} \, a^{2} d^{3} x^{4} + \frac{3}{2} \, a^{2} c d^{2} x^{3} + \frac{9}{4} \, a^{2} c^{2} d x^{2} + \frac{3}{2} \, a^{2} c^{3} x - \frac{3 \, {\left(2 \, a^{2} d^{3} f^{2} x^{2} + 4 \, a^{2} c d^{2} f^{2} x + 2 \, a^{2} c^{2} d f^{2} - a^{2} d^{3}\right)} \cos\left(2 \, f x + 2 \, e\right)}{16 \, f^{4}} - \frac{2 \, {\left(a^{2} d^{3} f^{3} x^{3} + 3 \, a^{2} c d^{2} f^{3} x^{2} + 3 \, a^{2} c^{2} d f^{3} x + a^{2} c^{3} f^{3} - 6 \, a^{2} d^{3} f x - 6 \, a^{2} c d^{2} f\right)} \cos\left(f x + e\right)}{f^{4}} - \frac{{\left(2 \, a^{2} d^{3} f^{3} x^{3} + 6 \, a^{2} c d^{2} f^{3} x^{2} + 6 \, a^{2} c^{2} d f^{3} x + 2 \, a^{2} c^{3} f^{3} - 3 \, a^{2} d^{3} f x - 3 \, a^{2} c d^{2} f\right)} \sin\left(2 \, f x + 2 \, e\right)}{8 \, f^{4}} + \frac{6 \, {\left(a^{2} d^{3} f^{2} x^{2} + 2 \, a^{2} c d^{2} f^{2} x + a^{2} c^{2} d f^{2} - 2 \, a^{2} d^{3}\right)} \sin\left(f x + e\right)}{f^{4}}"," ",0,"3/8*a^2*d^3*x^4 + 3/2*a^2*c*d^2*x^3 + 9/4*a^2*c^2*d*x^2 + 3/2*a^2*c^3*x - 3/16*(2*a^2*d^3*f^2*x^2 + 4*a^2*c*d^2*f^2*x + 2*a^2*c^2*d*f^2 - a^2*d^3)*cos(2*f*x + 2*e)/f^4 - 2*(a^2*d^3*f^3*x^3 + 3*a^2*c*d^2*f^3*x^2 + 3*a^2*c^2*d*f^3*x + a^2*c^3*f^3 - 6*a^2*d^3*f*x - 6*a^2*c*d^2*f)*cos(f*x + e)/f^4 - 1/8*(2*a^2*d^3*f^3*x^3 + 6*a^2*c*d^2*f^3*x^2 + 6*a^2*c^2*d*f^3*x + 2*a^2*c^3*f^3 - 3*a^2*d^3*f*x - 3*a^2*c*d^2*f)*sin(2*f*x + 2*e)/f^4 + 6*(a^2*d^3*f^2*x^2 + 2*a^2*c*d^2*f^2*x + a^2*c^2*d*f^2 - 2*a^2*d^3)*sin(f*x + e)/f^4","A",0
102,1,207,0,3.639467," ","integrate((d*x+c)^2*(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{1}{2} \, a^{2} d^{2} x^{3} + \frac{3}{2} \, a^{2} c d x^{2} + \frac{3}{2} \, a^{2} c^{2} x - \frac{{\left(a^{2} d^{2} f x + a^{2} c d f\right)} \cos\left(2 \, f x + 2 \, e\right)}{4 \, f^{3}} - \frac{2 \, {\left(a^{2} d^{2} f^{2} x^{2} + 2 \, a^{2} c d f^{2} x + a^{2} c^{2} f^{2} - 2 \, a^{2} d^{2}\right)} \cos\left(f x + e\right)}{f^{3}} - \frac{{\left(2 \, a^{2} d^{2} f^{2} x^{2} + 4 \, a^{2} c d f^{2} x + 2 \, a^{2} c^{2} f^{2} - a^{2} d^{2}\right)} \sin\left(2 \, f x + 2 \, e\right)}{8 \, f^{3}} + \frac{4 \, {\left(a^{2} d^{2} f x + a^{2} c d f\right)} \sin\left(f x + e\right)}{f^{3}}"," ",0,"1/2*a^2*d^2*x^3 + 3/2*a^2*c*d*x^2 + 3/2*a^2*c^2*x - 1/4*(a^2*d^2*f*x + a^2*c*d*f)*cos(2*f*x + 2*e)/f^3 - 2*(a^2*d^2*f^2*x^2 + 2*a^2*c*d*f^2*x + a^2*c^2*f^2 - 2*a^2*d^2)*cos(f*x + e)/f^3 - 1/8*(2*a^2*d^2*f^2*x^2 + 4*a^2*c*d*f^2*x + 2*a^2*c^2*f^2 - a^2*d^2)*sin(2*f*x + 2*e)/f^3 + 4*(a^2*d^2*f*x + a^2*c*d*f)*sin(f*x + e)/f^3","A",0
103,1,107,0,2.193758," ","integrate((d*x+c)*(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{3}{4} \, a^{2} d x^{2} + \frac{3}{2} \, a^{2} c x - \frac{a^{2} d \cos\left(2 \, f x + 2 \, e\right)}{8 \, f^{2}} + \frac{2 \, a^{2} d \sin\left(f x + e\right)}{f^{2}} - \frac{2 \, {\left(a^{2} d f x + a^{2} c f\right)} \cos\left(f x + e\right)}{f^{2}} - \frac{{\left(a^{2} d f x + a^{2} c f\right)} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f^{2}}"," ",0,"3/4*a^2*d*x^2 + 3/2*a^2*c*x - 1/8*a^2*d*cos(2*f*x + 2*e)/f^2 + 2*a^2*d*sin(f*x + e)/f^2 - 2*(a^2*d*f*x + a^2*c*f)*cos(f*x + e)/f^2 - 1/4*(a^2*d*f*x + a^2*c*f)*sin(2*f*x + 2*e)/f^2","A",0
104,1,7049,0,1.193564," ","integrate((a+a*sin(f*x+e))^2/(d*x+c),x, algorithm=""giac"")","\frac{4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 4 \, a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} - 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 16 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 16 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 32 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) - 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(e\right)^{2} - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(e\right)^{2} + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} - 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 16 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 16 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 32 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) - 4 \, a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) - 4 \, a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 4 \, a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} + 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} - 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 16 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 16 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 32 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right) + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right) - 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right) + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) + 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(e\right)^{2} - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(e\right)^{2} + 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(e\right)^{2} - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(e\right)^{2} - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(e\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} + 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 16 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 16 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 32 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} - a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} - 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(e\right) - 4 \, a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(e\right) + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(e\right)^{2} - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(e\right)^{2} + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(e\right)^{2} + a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(e\right)^{2} + 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(e\right)^{2} - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) - 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 8 \, a^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 2 \, a^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(e\right) - 2 \, a^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(e\right) + 4 \, a^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(e\right) + 4 \, a^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) - 4 \, a^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) + 6 \, a^{2} \log\left({\left| d x + c \right|}\right) - a^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) - a^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) + 8 \, a^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right)}{4 \, {\left(d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} + d \tan\left(\frac{c f}{2 \, d}\right)^{2} + d \tan\left(\frac{1}{2} \, e\right)^{2} + d \tan\left(e\right)^{2} + d\right)}}"," ",0,"1/4*(4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 6*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) + 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)*tan(e)^2 - 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)*tan(e)^2 + 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)^2*tan(e)^2 + 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)^2*tan(e)^2 + 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 6*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 4*a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 + 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 + 6*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 - a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 - a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 - 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 + 16*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 - 16*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 + 32*a^2*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 - 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 6*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 6*a^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e) + 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 - 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e) + 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e) - 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e) - 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e) + 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e) - 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*e)^2*tan(e) + 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) + 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(e)^2 - 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(e)^2 + 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(e)^2 - 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(e)^2 + 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(e)^2 + 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*e)*tan(e)^2 + 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*e)*tan(e)^2 - 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)*tan(e)^2 - 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)*tan(e)^2 + 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2*tan(e)^2 - 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2*tan(e)^2 + 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*e)^2*tan(e)^2 + 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2*tan(e)^2 + 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2*tan(e)^2 - 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + 6*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2 - 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + 16*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e) - 16*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e) + 32*a^2*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e) - 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2 + 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2 + 6*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*e)^2 + a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2 + a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2 - 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*e)^2 + 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 6*a^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(e) - 4*a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(e) - 4*a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2*tan(e) - 4*a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2*tan(e) + 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(e)^2 - 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(e)^2 + 6*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(e)^2 - a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(e)^2 - a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(e)^2 + 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(e)^2 - 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(e)^2 + 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(e)^2 + 6*a^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2*tan(e)^2 + a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2*tan(e)^2 + a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2*tan(e)^2 - 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(e)^2 + 16*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 - 16*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 + 32*a^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 - 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2*tan(e)^2 + 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2*tan(e)^2 + 6*a^2*log(abs(d*x + c))*tan(1/2*e)^2*tan(e)^2 + a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*e)^2*tan(e)^2 + a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*e)^2*tan(e)^2 - 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2*tan(e)^2 - 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d) - 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d) - 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2 + 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2 - 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*c*f/d)^2 + 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*e) + 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*e) - 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2 + 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2 - 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*e)^2 + 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 - 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(e) + 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(e) - 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)^2*tan(e) + 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2*tan(e) - 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2*tan(e) + 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(e) + 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*e)^2*tan(e) - 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*e)^2*tan(e) + 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(1/2*e)^2*tan(e) + 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(e)^2 - 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(e)^2 + 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(e)^2 - 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(e)^2 - 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(e)^2 + 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e)*tan(e)^2 + 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)*tan(e)^2 + 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2 - 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2 + 6*a^2*log(abs(d*x + c))*tan(c*f/d)^2 + a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2 + a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2 + 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2 - 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2 + 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2 + 6*a^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2 - a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2 - a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2 - 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2 + 16*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) - 16*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) + 32*a^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e) - 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2 + 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2 + 6*a^2*log(abs(d*x + c))*tan(1/2*e)^2 - a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*e)^2 - a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*e)^2 - 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2 - 4*a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(e) - 4*a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(e) + 4*a^2*imag_part(cos_integral(f*x + c*f/d))*tan(e)^2 - 4*a^2*imag_part(cos_integral(-f*x - c*f/d))*tan(e)^2 + 6*a^2*log(abs(d*x + c))*tan(e)^2 + a^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(e)^2 + a^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(e)^2 + 8*a^2*sin_integral((d*f*x + c*f)/d)*tan(e)^2 - 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d) + 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d) - 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d) - 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d) - 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d) + 8*a^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e) + 8*a^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e) + 2*a^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(e) - 2*a^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(e) + 4*a^2*sin_integral(2*(d*f*x + c*f)/d)*tan(e) + 4*a^2*imag_part(cos_integral(f*x + c*f/d)) - 4*a^2*imag_part(cos_integral(-f*x - c*f/d)) + 6*a^2*log(abs(d*x + c)) - a^2*real_part(cos_integral(2*f*x + 2*c*f/d)) - a^2*real_part(cos_integral(-2*f*x - 2*c*f/d)) + 8*a^2*sin_integral((d*f*x + c*f)/d))/(d*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + d*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + d*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 + d*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + d*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + d*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + d*tan(c*f/d)^2*tan(1/2*e)^2 + d*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + d*tan(c*f/d)^2*tan(e)^2 + d*tan(1/2*c*f/d)^2*tan(e)^2 + d*tan(1/2*e)^2*tan(e)^2 + d*tan(c*f/d)^2 + d*tan(1/2*c*f/d)^2 + d*tan(1/2*e)^2 + d*tan(e)^2 + d)","C",0
105,1,1134,0,0.777102," ","integrate((a+a*sin(f*x+e))^2/(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(4 \, {\left(d x + c\right)} a^{2} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} \cos\left(\frac{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) - 4 \, a^{2} c f^{3} \cos\left(\frac{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) + 4 \, a^{2} d f^{2} \cos\left(\frac{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e - 2 \, {\left(d x + c\right)} a^{2} {\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 \, a^{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 \, a^{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) + 4 \, {\left(d x + c\right)} a^{2} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} \sin\left(\frac{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) - 4 \, a^{2} c f^{3} \sin\left(\frac{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) + 4 \, a^{2} d f^{2} e \sin\left(\frac{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) + 2 \, {\left(d x + c\right)} a^{2} {\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 \, a^{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 \, a^{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) - a^{2} 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) - 4 \, a^{2} d f^{2} \sin\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right) + 3 \, a^{2} d f^{2}\right)} d^{2}}{2 \, {\left({\left(d x + c\right)} d^{4} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c d^{4} f + d^{5} e\right)} f}"," ",0,"1/2*(4*(d*x + c)*a^2*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - 4*a^2*c*f^3*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + 4*a^2*d*f^2*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e - 2*(d*x + c)*a^2*(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*a^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*a^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) + 4*(d*x + c)*a^2*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - 4*a^2*c*f^3*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + 4*a^2*d*f^2*e*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + 2*(d*x + c)*a^2*(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*a^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*a^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) - a^2*d*f^2*cos(2*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - 4*a^2*d*f^2*sin((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) + 3*a^2*d*f^2)*d^2/(((d*x + c)*d^4*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*d^4*f + d^5*e)*f)","B",0
106,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^2/(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
107,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{a \sin\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^3/(a*sin(f*x + e) + a), x)","F",0
108,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{a \sin\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^2/(a*sin(f*x + e) + a), x)","F",0
109,1,696,0,0.618222," ","integrate((d*x+c)/(a+a*sin(f*x+e)),x, algorithm=""giac"")","-\frac{d f x \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) + d f x \tan\left(\frac{1}{2} \, f x\right) + d f x \tan\left(\frac{1}{2} \, e\right) + c f \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - d f x + c f \tan\left(\frac{1}{2} \, f x\right) + d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right) + c f \tan\left(\frac{1}{2} \, e\right) + d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, e\right) - c f + d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right)}{a f^{2} \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - a f^{2} \tan\left(\frac{1}{2} \, f x\right) - a f^{2} \tan\left(\frac{1}{2} \, e\right) - a f^{2}}"," ",0,"-(d*f*x*tan(1/2*f*x)*tan(1/2*e) + d*f*x*tan(1/2*f*x) + d*f*x*tan(1/2*e) + c*f*tan(1/2*f*x)*tan(1/2*e) - d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)*tan(1/2*e) - d*f*x + c*f*tan(1/2*f*x) + d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x) + c*f*tan(1/2*e) + d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*e) - c*f + d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1)))/(a*f^2*tan(1/2*f*x)*tan(1/2*e) - a*f^2*tan(1/2*f*x) - a*f^2*tan(1/2*e) - a*f^2)","B",0
110,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)} {\left(a \sin\left(f x + e\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(a*sin(f*x + e) + a)), x)","F",0
111,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)}^{2} {\left(a \sin\left(f x + e\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)^2*(a*sin(f*x + e) + a)), x)","F",0
112,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{{\left(a \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^3/(a*sin(f*x + e) + a)^2, x)","F",0
113,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{{\left(a \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^2/(a*sin(f*x + e) + a)^2, x)","F",0
114,1,3094,0,41.368585," ","integrate((d*x+c)/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","-\frac{2 \, d f x \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{3} + 2 \, c f \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{3} - d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{3} - 6 \, d f x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{3} + d \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{3} + 2 \, d f x \tan\left(\frac{1}{2} \, f x\right)^{3} + 6 \, d f x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right) + 6 \, d f x \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 6 \, c f \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - d \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, d f x \tan\left(\frac{1}{2} \, e\right)^{3} - 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{3} - d \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{3} + 2 \, c f \tan\left(\frac{1}{2} \, f x\right)^{3} + d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right)^{3} + 6 \, d f x \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) + 6 \, c f \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + d \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right) + 6 \, c f \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} - d \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, c f \tan\left(\frac{1}{2} \, e\right)^{3} + d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, e\right)^{3} + d \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{3} + 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} - d \tan\left(\frac{1}{2} \, f x\right)^{3} + 6 \, c f \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) + 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - d \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - d \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} - d \tan\left(\frac{1}{2} \, e\right)^{3} - 2 \, d f x + 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right) - d \tan\left(\frac{1}{2} \, f x\right)^{2} + 3 \, d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, e\right) + d \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - d \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, c f + d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right) + 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) - d \tan\left(\frac{1}{2} \, f x\right) - d \tan\left(\frac{1}{2} \, e\right) - d}{3 \, {\left(a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{3} - 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} - 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{3} + 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right) + 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{3} - a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right)^{3} + 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} - a^{2} f^{2} \tan\left(\frac{1}{2} \, e\right)^{3} - 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} - 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, f x\right) - 3 \, a^{2} f^{2} \tan\left(\frac{1}{2} \, e\right) - a^{2} f^{2}\right)}}"," ",0,"-1/3*(2*d*f*x*tan(1/2*f*x)^3*tan(1/2*e)^3 + 2*c*f*tan(1/2*f*x)^3*tan(1/2*e)^3 - d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)^3*tan(1/2*e)^3 - 6*d*f*x*tan(1/2*f*x)^2*tan(1/2*e)^2 + 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)^3*tan(1/2*e)^2 + 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)^2*tan(1/2*e)^3 + d*tan(1/2*f*x)^3*tan(1/2*e)^3 + 2*d*f*x*tan(1/2*f*x)^3 + 6*d*f*x*tan(1/2*f*x)^2*tan(1/2*e) - 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)^3*tan(1/2*e) + 6*d*f*x*tan(1/2*f*x)*tan(1/2*e)^2 - 6*c*f*tan(1/2*f*x)^2*tan(1/2*e)^2 - 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)^2*tan(1/2*e)^2 - d*tan(1/2*f*x)^3*tan(1/2*e)^2 + 2*d*f*x*tan(1/2*e)^3 - 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)*tan(1/2*e)^3 - d*tan(1/2*f*x)^2*tan(1/2*e)^3 + 2*c*f*tan(1/2*f*x)^3 + d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)^3 + 6*d*f*x*tan(1/2*f*x)*tan(1/2*e) + 6*c*f*tan(1/2*f*x)^2*tan(1/2*e) - 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)^2*tan(1/2*e) + d*tan(1/2*f*x)^3*tan(1/2*e) + 6*c*f*tan(1/2*f*x)*tan(1/2*e)^2 - 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)*tan(1/2*e)^2 - d*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*c*f*tan(1/2*e)^3 + d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*e)^3 + d*tan(1/2*f*x)*tan(1/2*e)^3 + 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)^2 - d*tan(1/2*f*x)^3 + 6*c*f*tan(1/2*f*x)*tan(1/2*e) + 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)*tan(1/2*e) - d*tan(1/2*f*x)^2*tan(1/2*e) + 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*e)^2 - d*tan(1/2*f*x)*tan(1/2*e)^2 - d*tan(1/2*e)^3 - 2*d*f*x + 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x) - d*tan(1/2*f*x)^2 + 3*d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*e) + d*tan(1/2*f*x)*tan(1/2*e) - d*tan(1/2*e)^2 - 2*c*f + d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 - 2*tan(1/2*f*x)^4*tan(1/2*e) - 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*tan(1/2*f*x)^3 - 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 + 2*tan(1/2*f*x) + 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1)) - d*tan(1/2*f*x) - d*tan(1/2*e) - d)/(a^2*f^2*tan(1/2*f*x)^3*tan(1/2*e)^3 - 3*a^2*f^2*tan(1/2*f*x)^3*tan(1/2*e)^2 - 3*a^2*f^2*tan(1/2*f*x)^2*tan(1/2*e)^3 + 3*a^2*f^2*tan(1/2*f*x)^3*tan(1/2*e) + 3*a^2*f^2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 3*a^2*f^2*tan(1/2*f*x)*tan(1/2*e)^3 - a^2*f^2*tan(1/2*f*x)^3 + 3*a^2*f^2*tan(1/2*f*x)^2*tan(1/2*e) + 3*a^2*f^2*tan(1/2*f*x)*tan(1/2*e)^2 - a^2*f^2*tan(1/2*e)^3 - 3*a^2*f^2*tan(1/2*f*x)^2 - 3*a^2*f^2*tan(1/2*f*x)*tan(1/2*e) - 3*a^2*f^2*tan(1/2*e)^2 - 3*a^2*f^2*tan(1/2*f*x) - 3*a^2*f^2*tan(1/2*e) - a^2*f^2)","B",0
115,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(a*sin(f*x + e) + a)^2), x)","F",0
116,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)}^{2} {\left(a \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x + c)^2*(a*sin(f*x + e) + a)^2), x)","F",0
117,0,0,0,0.000000," ","integrate((d*x+c)^3/(a-a*sin(f*x+e)),x, algorithm=""giac"")","\int -\frac{{\left(d x + c\right)}^{3}}{a \sin\left(f x + e\right) - a}\,{d x}"," ",0,"integrate(-(d*x + c)^3/(a*sin(f*x + e) - a), x)","F",0
118,0,0,0,0.000000," ","integrate((d*x+c)^2/(a-a*sin(f*x+e)),x, algorithm=""giac"")","\int -\frac{{\left(d x + c\right)}^{2}}{a \sin\left(f x + e\right) - a}\,{d x}"," ",0,"integrate(-(d*x + c)^2/(a*sin(f*x + e) - a), x)","F",0
119,1,697,0,0.664359," ","integrate((d*x+c)/(a-a*sin(f*x+e)),x, algorithm=""giac"")","\frac{d f x \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - d f x \tan\left(\frac{1}{2} \, f x\right) - d f x \tan\left(\frac{1}{2} \, e\right) + c f \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) + d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right) - 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - d f x - c f \tan\left(\frac{1}{2} \, f x\right) + d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right) - 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, f x\right) - c f \tan\left(\frac{1}{2} \, e\right) + d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right) - 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, e\right) - c f - d \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{4} \tan\left(\frac{1}{2} \, e\right) + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, f x\right)^{2} + \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, f x\right) - 2 \, \tan\left(\frac{1}{2} \, e\right) + 1\right)}}{\tan\left(\frac{1}{2} \, e\right)^{2} + 1}\right)}{a f^{2} \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) + a f^{2} \tan\left(\frac{1}{2} \, f x\right) + a f^{2} \tan\left(\frac{1}{2} \, e\right) - a f^{2}}"," ",0,"(d*f*x*tan(1/2*f*x)*tan(1/2*e) - d*f*x*tan(1/2*f*x) - d*f*x*tan(1/2*e) + c*f*tan(1/2*f*x)*tan(1/2*e) + d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 + 2*tan(1/2*f*x)^4*tan(1/2*e) + 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^3 + 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x)*tan(1/2*e) - d*f*x - c*f*tan(1/2*f*x) + d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 + 2*tan(1/2*f*x)^4*tan(1/2*e) + 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^3 + 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*f*x) - c*f*tan(1/2*e) + d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 + 2*tan(1/2*f*x)^4*tan(1/2*e) + 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^3 + 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1))*tan(1/2*e) - c*f - d*log(2*(tan(1/2*f*x)^4*tan(1/2*e)^2 + 2*tan(1/2*f*x)^4*tan(1/2*e) + 2*tan(1/2*f*x)^3*tan(1/2*e)^2 + tan(1/2*f*x)^4 + 2*tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*tan(1/2*f*x)^3 + 2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*tan(1/2*f*x)^2 + tan(1/2*e)^2 - 2*tan(1/2*f*x) - 2*tan(1/2*e) + 1)/(tan(1/2*e)^2 + 1)))/(a*f^2*tan(1/2*f*x)*tan(1/2*e) + a*f^2*tan(1/2*f*x) + a*f^2*tan(1/2*e) - a*f^2)","B",0
120,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a-a*sin(f*x+e)),x, algorithm=""giac"")","\int -\frac{1}{{\left(d x + c\right)} {\left(a \sin\left(f x + e\right) - a\right)}}\,{d x}"," ",0,"integrate(-1/((d*x + c)*(a*sin(f*x + e) - a)), x)","F",0
121,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a-a*sin(f*x+e)),x, algorithm=""giac"")","\int -\frac{1}{{\left(d x + c\right)}^{2} {\left(a \sin\left(f x + e\right) - a\right)}}\,{d x}"," ",0,"integrate(-1/((d*x + c)^2*(a*sin(f*x + e) - a)), x)","F",0
122,1,116,0,1.088280," ","integrate(x^3*(a+a*sin(d*x+c))^(1/2),x, algorithm=""giac"")","2 \, \sqrt{2} \sqrt{a} {\left(\frac{6 \, {\left(d^{2} x^{2} \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - 8 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)\right)} \cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{d^{4}} + \frac{{\left(d^{3} x^{3} \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - 24 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)\right)} \sin\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{d^{4}}\right)}"," ",0,"2*sqrt(2)*sqrt(a)*(6*(d^2*x^2*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) - 8*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)))*cos(-1/4*pi + 1/2*d*x + 1/2*c)/d^4 + (d^3*x^3*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) - 24*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)))*sin(-1/4*pi + 1/2*d*x + 1/2*c)/d^4)","A",0
123,1,92,0,0.603231," ","integrate(x^2*(a+a*sin(d*x+c))^(1/2),x, algorithm=""giac"")","2 \, \sqrt{2} \sqrt{a} {\left(\frac{4 \, x \cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}{d^{2}} + \frac{{\left(d^{2} x^{2} \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - 8 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)\right)} \sin\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{d^{3}}\right)}"," ",0,"2*sqrt(2)*sqrt(a)*(4*x*cos(-1/4*pi + 1/2*d*x + 1/2*c)*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))/d^2 + (d^2*x^2*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) - 8*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)))*sin(-1/4*pi + 1/2*d*x + 1/2*c)/d^3)","A",0
124,1,69,0,0.832416," ","integrate(x*(a+a*sin(d*x+c))^(1/2),x, algorithm=""giac"")","2 \, \sqrt{2} {\left(\frac{x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \sin\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{d} + \frac{2 \, \cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}{d^{2}}\right)} \sqrt{a}"," ",0,"2*sqrt(2)*(x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin(-1/4*pi + 1/2*d*x + 1/2*c)/d + 2*cos(-1/4*pi + 1/2*d*x + 1/2*c)*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))/d^2)*sqrt(a)","A",0
125,1,383,0,2.249522," ","integrate((a+a*sin(d*x+c))^(1/2)/x,x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} - \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} + 2 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, c\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) - 2 \, \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) - 2 \, \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) - 2 \, \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) + 4 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, c\right) - \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - 2 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right)\right)} \sqrt{a}}{2 \, {\left(\sqrt{2} \tan\left(\frac{1}{4} \, c\right)^{2} + \sqrt{2}\right)}}"," ",0,"-1/2*sqrt(2)*(imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 - imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 + real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 + real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 + 2*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*c)^2 + 2*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) - 2*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) - 2*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) - 2*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) + 4*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*c) - imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) + imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) - real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) - real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) - 2*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x))*sqrt(a)/(sqrt(2)*tan(1/4*c)^2 + sqrt(2))","C",0
126,1,1140,0,2.620260," ","integrate((a+a*sin(d*x+c))^(1/2)/x^2,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(d x \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} - d x \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} - d x \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} - d x \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} + 2 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} - 2 \, d x \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) + 2 \, d x \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) - 2 \, d x \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) - 2 \, d x \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) - 4 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) - d x \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} + d x \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} + d x \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} + d x \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} - 2 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, d x\right)^{2} + d x \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} - d x \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} - d x \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} - d x \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} + 2 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, c\right)^{2} - 2 \, d x \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) + 2 \, d x \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) - 2 \, d x \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) - 2 \, d x \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) - 4 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, c\right) - 4 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} - d x \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + d x \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + d x \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + d x \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - 2 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) + 8 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) + 8 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right) \tan\left(\frac{1}{4} \, c\right)^{2} + 4 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} + 16 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right) \tan\left(\frac{1}{4} \, c\right) + 4 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} - 8 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right) - 8 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) - 4 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)\right)} \sqrt{a}}{4 \, {\left(\sqrt{2} x \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} + \sqrt{2} x \tan\left(\frac{1}{4} \, d x\right)^{2} + \sqrt{2} x \tan\left(\frac{1}{4} \, c\right)^{2} + \sqrt{2} x\right)}}"," ",0,"1/4*sqrt(2)*(d*x*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c)^2 - d*x*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c)^2 - d*x*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c)^2 - d*x*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c)^2 + 2*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*d*x)^2*tan(1/4*c)^2 - 2*d*x*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c) + 2*d*x*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c) - 2*d*x*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c) - 2*d*x*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c) - 4*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*d*x)^2*tan(1/4*c) - d*x*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2 + d*x*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2 + d*x*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2 + d*x*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2 - 2*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*d*x)^2 + d*x*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 - d*x*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 - d*x*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 - d*x*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 + 2*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*c)^2 - 2*d*x*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) + 2*d*x*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) - 2*d*x*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) - 2*d*x*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) - 4*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*c) - 4*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c)^2 - d*x*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) + d*x*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) + d*x*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) + d*x*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) - 2*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x) + 8*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c) + 8*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)*tan(1/4*c)^2 + 4*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2 + 16*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)*tan(1/4*c) + 4*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 - 8*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x) - 8*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) - 4*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)))*sqrt(a)/(sqrt(2)*x*tan(1/4*d*x)^2*tan(1/4*c)^2 + sqrt(2)*x*tan(1/4*d*x)^2 + sqrt(2)*x*tan(1/4*c)^2 + sqrt(2)*x)","C",0
127,1,1487,0,2.081750," ","integrate((a+a*sin(d*x+c))^(1/2)/x^3,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(d^{2} x^{2} \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} - d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} + d^{2} x^{2} \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} + d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} + 2 \, d^{2} x^{2} \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} + 2 \, d^{2} x^{2} \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) - 2 \, d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) - 2 \, d^{2} x^{2} \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) - 2 \, d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) + 4 \, d^{2} x^{2} \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) - d^{2} x^{2} \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} + d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} - d^{2} x^{2} \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} - d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} - 2 \, d^{2} x^{2} \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, d x\right)^{2} + d^{2} x^{2} \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} - d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} + d^{2} x^{2} \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} + d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} + 2 \, d^{2} x^{2} \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, c\right)^{2} + 2 \, d^{2} x^{2} \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) - 2 \, d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) - 2 \, d^{2} x^{2} \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) - 2 \, d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) + 4 \, d^{2} x^{2} \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{4} \, c\right) - 4 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} - d^{2} x^{2} \Im \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - d^{2} x^{2} \Re \left( \operatorname{Ci}\left(\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-\frac{1}{2} \, d x\right) \right) \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - 2 \, d^{2} x^{2} \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \operatorname{Si}\left(\frac{1}{2} \, d x\right) - 8 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) - 8 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right) \tan\left(\frac{1}{4} \, c\right)^{2} + 4 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} + 16 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right) \tan\left(\frac{1}{4} \, c\right) + 4 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} - 8 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} + 8 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right) + 8 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) + 16 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right) + 16 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right) \tan\left(\frac{1}{4} \, c\right)^{2} - 4 \, d x \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + 8 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right)^{2} + 32 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right) \tan\left(\frac{1}{4} \, c\right) + 8 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right)^{2} - 16 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, d x\right) - 16 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) \tan\left(\frac{1}{4} \, c\right) - 8 \, \mathrm{sgn}\left(\cos\left(-\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)\right)} \sqrt{a}}{16 \, {\left(\sqrt{2} x^{2} \tan\left(\frac{1}{4} \, d x\right)^{2} \tan\left(\frac{1}{4} \, c\right)^{2} + \sqrt{2} x^{2} \tan\left(\frac{1}{4} \, d x\right)^{2} + \sqrt{2} x^{2} \tan\left(\frac{1}{4} \, c\right)^{2} + \sqrt{2} x^{2}\right)}}"," ",0,"1/16*sqrt(2)*(d^2*x^2*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c)^2 - d^2*x^2*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c)^2 + d^2*x^2*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c)^2 + d^2*x^2*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c)^2 + 2*d^2*x^2*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*d*x)^2*tan(1/4*c)^2 + 2*d^2*x^2*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c) - 2*d^2*x^2*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c) - 2*d^2*x^2*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c) - 2*d^2*x^2*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c) + 4*d^2*x^2*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*d*x)^2*tan(1/4*c) - d^2*x^2*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2 + d^2*x^2*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2 - d^2*x^2*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2 - d^2*x^2*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2 - 2*d^2*x^2*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*d*x)^2 + d^2*x^2*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 - d^2*x^2*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 + d^2*x^2*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 + d^2*x^2*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 + 2*d^2*x^2*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*c)^2 + 2*d^2*x^2*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) - 2*d^2*x^2*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) - 2*d^2*x^2*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) - 2*d^2*x^2*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) + 4*d^2*x^2*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x)*tan(1/4*c) - 4*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c)^2 - d^2*x^2*imag_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) + d^2*x^2*imag_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) - d^2*x^2*real_part(cos_integral(1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) - d^2*x^2*real_part(cos_integral(-1/2*d*x))*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) - 2*d^2*x^2*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*sin_integral(1/2*d*x) - 8*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c) - 8*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)*tan(1/4*c)^2 + 4*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2 + 16*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)*tan(1/4*c) + 4*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 - 8*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c)^2 + 8*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x) + 8*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) + 16*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2*tan(1/4*c) + 16*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)*tan(1/4*c)^2 - 4*d*x*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)) + 8*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)^2 + 32*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x)*tan(1/4*c) + 8*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c)^2 - 16*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*d*x) - 16*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c))*tan(1/4*c) - 8*sgn(cos(-1/4*pi + 1/2*d*x + 1/2*c)))*sqrt(a)/(sqrt(2)*x^2*tan(1/4*d*x)^2*tan(1/4*c)^2 + sqrt(2)*x^2*tan(1/4*d*x)^2 + sqrt(2)*x^2*tan(1/4*c)^2 + sqrt(2)*x^2)","C",0
128,-2,0,0,0.000000," ","integrate(x^3*(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(-(48*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*a*f^3*x^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/f^4+1/2*(48*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*a*f^3*x^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/f^4+1/162*(144*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-54*a*f^3*x^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/f^4+1/2*(-96*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x+2*exp(1)+pi))/f^4+(-96*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/f^4+1/162*(-96*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+108*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)-pi))/f^4)","F(-2)",0
129,-2,0,0,0.000000," ","integrate(x^2*(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(-f^3*(16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(-f^3)^2+2*f^3*(16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(-2*f^3)^2+54*f^3*(16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(-54*f^3)^2+16*a*f^4*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(2*f*x+2*exp(1)+pi))/(-2*f^3)^2+1296*a*f^4*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(6*f*x+6*exp(1)-pi))/(-54*f^3)^2+8*a*f^4*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(-f^3)^2)","F(-2)",0
130,-2,0,0,0.000000," ","integrate(x*(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(2*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(2*f*x+2*exp(1)+pi))/f^2+2/9*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(6*f*x+6*exp(1)-pi))/f^2+4*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/f^2+2*a*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/f-a*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(2*f*x+2*exp(1)+pi))/f-1/3*a*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(6*f*x+6*exp(1)-pi))/f)","F(-2)",0
131,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)/x,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(6*a*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*a*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))+a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))-3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))-a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))+3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))-a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))+3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))-a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))-6*a*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2+6*a*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2-12*a*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))+2*a*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2-2*a*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2+4*a*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))-3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))^2+3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(3/4*exp(1))^2-6*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))+a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2-a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(3/4*exp(1))^2+2*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(3/4*exp(1))+3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2-3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(3/4*exp(1))^2+6*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))-a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2+a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))^2-2*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))-3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2+3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(3/4*exp(1))^2+6*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))-a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2+a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))^2+2*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))-3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2+3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(3/4*exp(1))^2+6*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))-a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2+a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))^2+2*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))-6*a*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2-12*a*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2-2*a*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+4*a*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))-3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2-6*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2-a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+2*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))+3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+6*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2+a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2-2*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))-3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+6*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2+a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+2*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))-3*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+6*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2+a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+2*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1)))/(4*sqrt(2)*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+4*sqrt(2)*tan(1/4*exp(1))^2+4*sqrt(2)*tan(3/4*exp(1))^2+4*sqrt(2))","F(-2)",0
132,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)/x^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)^2-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*f*x)^2-24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))-24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*f*x)+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))+24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*f*x)+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(3/4*f*x)+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)^2*tan(3/4*f*x)-24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2+24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(1/4*f*x)^2-24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*f*x)^2+48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(1/4*f*x)-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))*tan(1/4*f*x)^2+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))*tan(3/4*f*x)^2-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))*tan(3/4*f*x)-24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)*tan(3/4*f*x)^2-6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)^2-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)+24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)*tan(3/4*f*x)^2+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)-24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)*tan(3/4*f*x)^2+24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)+24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(1/4*f*x)*tan(3/4*f*x)^2+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)+6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2-6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2-6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)^2-6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*f*x)^2-12*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))+6*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2-6*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2+6*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)^2+6*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*f*x)^2-12*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(3/4*exp(1))^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(3/4*exp(1))^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(3/4*exp(1))-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(3/4*exp(1))^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(3/4*exp(1))^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(3/4*exp(1))^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))-8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)+24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)*tan(3/4*f*x)^2+8*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)+24*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)*tan(3/4*f*x)^2+6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2-6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-12*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2-12*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(1/4*f*x)^2-12*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*f*x)^2-6*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+6*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+6*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2-12*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))-6*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-6*a*f*x*Si(3/2*f*x)*sign(co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)^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-12*a*f*x*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-12*a*f*x*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2)/(8*sqrt(2)*x*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+8*sqrt(2)*x*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+8*sqrt(2)*x*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+8*sqrt(2)*x*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+8*sqrt(2)*x*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+8*sqrt(2)*x*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+8*sqrt(2)*x*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+8*sqrt(2)*x*tan(1/4*exp(1))^2*tan(3/4*f*x)^2+8*sqrt(2)*x*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+8*sqrt(2)*x*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+8*sqrt(2)*x*tan(1/4*f*x)^2*tan(3/4*f*x)^2+8*sqrt(2)*x*tan(1/4*exp(1))^2+8*sqrt(2)*x*tan(3/4*exp(1))^2+8*sqrt(2)*x*tan(1/4*f*x)^2+8*sqrt(2)*x*tan(3/4*f*x)^2+8*sqrt(2)*x)","F(-2)",0
133,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)/x^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+32*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2-32*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2+32*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)^2-32*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*f*x)^2-48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))-48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*f*x)-24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))+48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*f*x)+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(3/4*f*x)+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)^2*tan(3/4*f*x)-48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2+48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(1/4*f*x)^2-48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*f*x)^2+96*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(1/4*f*x)-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))*tan(1/4*f*x)^2+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))*tan(3/4*f*x)^2-32*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))*tan(3/4*f*x)-48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)*tan(3/4*f*x)^2+24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))-24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))+24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*f*x)-24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*f*x)-6*a*f^2*x^2*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-18*a*f^2*x^2*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))-32*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+32*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)-32*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)-16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)^2-32*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)+48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)*tan(3/4*f*x)^2+32*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)-48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)*tan(3/4*f*x)^2+48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+96*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)+48*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+96*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(1/4*f*x)*tan(3/4*f*x)^2+16*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-32*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)+24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2-24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2-24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))-24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)-24*a*f*x*sig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xp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(3/4*exp(1))*tan(1/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(3/4*exp(1))*tan(3/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(1/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2+18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))*tan(1/4*f*x)^2+18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(1/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))*tan(1/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(1/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))*tan(1/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))*tan(3/4*f*x)^2-24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)-24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)*tan(3/4*f*x)^2+24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+48*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)-24*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+48*a*f*x*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)*tan(3/4*f*x)^2+6*a*f^2*x^2*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+6*a*f^2*x^2*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+6*a*f^2*x^2*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f^2*x^2*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+12*a*f^2*x^2*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+12*a*f^2*x^2*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+12*a*f^2*x^2*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+18*a*f^2*x^2*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+18*a*f^2*x^2*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-18*a*f^2*x^2*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-36*a*f^2*x^2*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2-36*a*f^2*x^2*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)^2+18*a*f^2*x^2*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-36*a*f^2*x^2*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2+18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f^2*x^2*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+12*a*f^2*x^2*Si(1/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+18*a*f^2*x^2*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-36*a*f^2*x^2*Si(3/2*f*x)*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2-3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*im(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2+3*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-6*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-1/2*f*x))*tan(1/4*exp(1))*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-9*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2-18*a*f^2*x^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*re(Ci(-3/2*f*x))*tan(1/4*exp(1))^2*tan(3/4*exp(1))*tan(1/4*f*x)^2*tan(3/4*f*x)^2)/(32*sqrt(2)*x^2*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+32*sqrt(2)*x^2*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+32*sqrt(2)*x^2*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+32*sqrt(2)*x^2*tan(1/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+32*sqrt(2)*x^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+32*sqrt(2)*x^2*tan(1/4*exp(1))^2*tan(3/4*exp(1))^2+32*sqrt(2)*x^2*tan(1/4*exp(1))^2*tan(1/4*f*x)^2+32*sqrt(2)*x^2*tan(1/4*exp(1))^2*tan(3/4*f*x)^2+32*sqrt(2)*x^2*tan(3/4*exp(1))^2*tan(1/4*f*x)^2+32*sqrt(2)*x^2*tan(3/4*exp(1))^2*tan(3/4*f*x)^2+32*sqrt(2)*x^2*tan(1/4*f*x)^2*tan(3/4*f*x)^2+32*sqrt(2)*x^2*tan(1/4*exp(1))^2+32*sqrt(2)*x^2*tan(3/4*exp(1))^2+32*sqrt(2)*x^2*tan(1/4*f*x)^2+32*sqrt(2)*x^2*tan(3/4*f*x)^2+32*sqrt(2)*x^2)","F(-2)",0
134,0,0,0,0.000000," ","integrate(x^3/(a+a*sin(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\sqrt{a \sin\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(x^3/sqrt(a*sin(d*x + c) + a), x)","F",0
135,0,0,0,0.000000," ","integrate(x^2/(a+a*sin(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\sqrt{a \sin\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(x^2/sqrt(a*sin(d*x + c) + a), x)","F",0
136,0,0,0,0.000000," ","integrate(x/(a+a*sin(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{x}{\sqrt{a \sin\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(x/sqrt(a*sin(d*x + c) + a), x)","F",0
137,0,0,0,0.000000," ","integrate(1/x/(a+a*sin(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a \sin\left(d x + c\right) + a} x}\,{d x}"," ",0,"integrate(1/(sqrt(a*sin(d*x + c) + a)*x), x)","F",0
138,0,0,0,0.000000," ","integrate(1/x^2/(a+a*sin(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a \sin\left(d x + c\right) + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(a*sin(d*x + c) + a)*x^2), x)","F",0
139,0,0,0,0.000000," ","integrate(x^3/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{x^{3}}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/(a*sin(f*x + e) + a)^(3/2), x)","F",0
140,0,0,0,0.000000," ","integrate(x^2/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(a*sin(f*x + e) + a)^(3/2), x)","F",0
141,0,0,0,0.000000," ","integrate(x/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{x}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(a*sin(f*x + e) + a)^(3/2), x)","F",0
142,0,0,0,0.000000," ","integrate(1/x/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((a*sin(f*x + e) + a)^(3/2)*x), x)","F",0
143,0,0,0,0.000000," ","integrate(1/x^2/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((a*sin(f*x + e) + a)^(3/2)*x^2), x)","F",0
144,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))^(1/3)/x,x, algorithm=""giac"")","\int \frac{{\left(a \sin\left(d x + c\right) + a\right)}^{\frac{1}{3}}}{x}\,{d x}"," ",0,"integrate((a*sin(d*x + c) + a)^(1/3)/x, x)","F",0
145,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+a*sin(f*x+e))^n,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} {\left(a \sin\left(f x + e\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((d*x + c)^m*(a*sin(f*x + e) + a)^n, x)","F",0
146,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","\int {\left(a \sin\left(f x + e\right) + a\right)}^{3} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((a*sin(f*x + e) + a)^3*(d*x + c)^m, x)","F",0
147,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\int {\left(a \sin\left(f x + e\right) + a\right)}^{2} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((a*sin(f*x + e) + a)^2*(d*x + c)^m, x)","F",0
148,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+a*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(a \sin\left(f x + e\right) + a\right)} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((a*sin(f*x + e) + a)*(d*x + c)^m, x)","F",0
149,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{a \sin\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^m/(a*sin(f*x + e) + a), x)","F",0
150,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(a \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^m/(a*sin(f*x + e) + a)^2, x)","F",0
151,1,157,0,0.393079," ","integrate((d*x+c)^3*(a+b*sin(f*x+e)),x, algorithm=""giac"")","\frac{1}{4} \, a d^{3} x^{4} + a c d^{2} x^{3} + \frac{3}{2} \, a c^{2} d x^{2} + a c^{3} x - \frac{{\left(b d^{3} f^{3} x^{3} + 3 \, b c d^{2} f^{3} x^{2} + 3 \, b c^{2} d f^{3} x + b c^{3} f^{3} - 6 \, b d^{3} f x - 6 \, b c d^{2} f\right)} \cos\left(f x + e\right)}{f^{4}} + \frac{3 \, {\left(b d^{3} f^{2} x^{2} + 2 \, b c d^{2} f^{2} x + b c^{2} d f^{2} - 2 \, b d^{3}\right)} \sin\left(f x + e\right)}{f^{4}}"," ",0,"1/4*a*d^3*x^4 + a*c*d^2*x^3 + 3/2*a*c^2*d*x^2 + a*c^3*x - (b*d^3*f^3*x^3 + 3*b*c*d^2*f^3*x^2 + 3*b*c^2*d*f^3*x + b*c^3*f^3 - 6*b*d^3*f*x - 6*b*c*d^2*f)*cos(f*x + e)/f^4 + 3*(b*d^3*f^2*x^2 + 2*b*c*d^2*f^2*x + b*c^2*d*f^2 - 2*b*d^3)*sin(f*x + e)/f^4","A",0
152,1,95,0,0.358365," ","integrate((d*x+c)^2*(a+b*sin(f*x+e)),x, algorithm=""giac"")","\frac{1}{3} \, a d^{2} x^{3} + a c d x^{2} + a c^{2} x - \frac{{\left(b d^{2} f^{2} x^{2} + 2 \, b c d f^{2} x + b c^{2} f^{2} - 2 \, b d^{2}\right)} \cos\left(f x + e\right)}{f^{3}} + \frac{2 \, {\left(b d^{2} f x + b c d f\right)} \sin\left(f x + e\right)}{f^{3}}"," ",0,"1/3*a*d^2*x^3 + a*c*d*x^2 + a*c^2*x - (b*d^2*f^2*x^2 + 2*b*c*d*f^2*x + b*c^2*f^2 - 2*b*d^2)*cos(f*x + e)/f^3 + 2*(b*d^2*f*x + b*c*d*f)*sin(f*x + e)/f^3","A",0
153,1,47,0,0.742641," ","integrate((d*x+c)*(a+b*sin(f*x+e)),x, algorithm=""giac"")","\frac{1}{2} \, a d x^{2} + a c x + \frac{b d \sin\left(f x + e\right)}{f^{2}} - \frac{{\left(b d f x + b c f\right)} \cos\left(f x + e\right)}{f^{2}}"," ",0,"1/2*a*d*x^2 + a*c*x + b*d*sin(f*x + e)/f^2 - (b*d*f*x + b*c*f)*cos(f*x + e)/f^2","A",0
154,1,712,0,0.419438," ","integrate((a+b*sin(f*x+e))/(d*x+c),x, algorithm=""giac"")","\frac{b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 2 \, b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 8 \, b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a \log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 2 \, b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) + 2 \, b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 2 \, b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) - b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) + 2 \, a \log\left({\left| d x + c \right|}\right) + 2 \, b \operatorname{Si}\left(\frac{d f x + c f}{d}\right)}{2 \, {\left(d \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d \tan\left(\frac{c f}{2 \, d}\right)^{2} + d \tan\left(\frac{1}{2} \, e\right)^{2} + d\right)}}"," ",0,"1/2*(b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*log(abs(d*x + c))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) + 2*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 - b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2 + b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2 + 2*a*log(abs(d*x + c))*tan(1/2*c*f/d)^2 - 2*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2 + 4*b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) - 4*b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) + 8*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e) - b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2 + b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2 + 2*a*log(abs(d*x + c))*tan(1/2*e)^2 - 2*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2 - 2*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d) - 2*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d) + 2*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e) + 2*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e) + b*imag_part(cos_integral(f*x + c*f/d)) - b*imag_part(cos_integral(-f*x - c*f/d)) + 2*a*log(abs(d*x + c)) + 2*b*sin_integral((d*f*x + c*f)/d))/(d*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + d*tan(1/2*c*f/d)^2 + d*tan(1/2*e)^2 + d)","C",0
155,1,578,0,2.525914," ","integrate((a+b*sin(f*x+e))/(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left({\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{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) - c f^{3} \cos\left(\frac{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) + d f^{2} \cos\left(\frac{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e + {\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{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) - c f^{3} \sin\left(\frac{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) + d f^{2} e \sin\left(\frac{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) - d f^{2} \sin\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right)\right)} b d^{2}}{{\left({\left(d x + c\right)} d^{4} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c d^{4} f + d^{5} e\right)} f} - \frac{a}{{\left(d x + c\right)} d}"," ",0,"((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - c*f^3*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + d*f^2*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e + (d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - c*f^3*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + d*f^2*e*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - d*f^2*sin((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d))*b*d^2/(((d*x + c)*d^4*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*d^4*f + d^5*e)*f) - a/((d*x + c)*d)","B",0
156,1,6157,0,1.418652," ","integrate((a+b*sin(f*x+e))/(d*x+c)^3,x, algorithm=""giac"")","-\frac{b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, b c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, b d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 8 \, b d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} - 4 \, b c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 8 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 8 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 16 \, b c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, b c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, b c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b d^{2} f x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} - b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} + 2 \, b d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} - 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, b d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, b c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 4 \, b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 8 \, b d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 4 \, b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 8 \, b c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c d f \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} - 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} + 4 \, b c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} - 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 4 \, b c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, b d^{2} f x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 2 \, b d^{2} f^{2} x^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 8 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 8 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 16 \, b c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 8 \, b d^{2} f x \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, b c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b d^{2} f x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b d^{2} f x \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) - b d^{2} f^{2} x^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) + 2 \, b d^{2} f^{2} x^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) + b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} - b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, f x\right)^{2} + 2 \, b c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, f x\right)^{2} - 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, b c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 2 \, b c d f \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 4 \, b c d f^{2} x \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 4 \, b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 8 \, b c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 8 \, b c d f \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 4 \, b d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c d f \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b c d f \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, b d^{2} \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) - 2 \, b c d f^{2} x \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) + 4 \, b c d f^{2} x \operatorname{Si}\left(\frac{d f x + c f}{d}\right) - 2 \, b d^{2} f x \tan\left(\frac{1}{2} \, f x\right)^{2} - 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) + 2 \, b d^{2} f x \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 2 \, b c^{2} f^{2} \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) - 8 \, b d^{2} f x \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - 2 \, b d^{2} f x \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, a d^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) - b c^{2} f^{2} \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) + 2 \, b c^{2} f^{2} \operatorname{Si}\left(\frac{d f x + c f}{d}\right) - 2 \, b c d f \tan\left(\frac{1}{2} \, f x\right)^{2} + 2 \, b c d f \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, b d^{2} \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 8 \, b c d f \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, b d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 4 \, b d^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, b c d f \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, b d^{2} \tan\left(\frac{1}{2} \, f x\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b d^{2} f x + 2 \, a d^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} + 2 \, a d^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, a d^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b c d f + 4 \, b d^{2} \tan\left(\frac{1}{2} \, f x\right) + 4 \, b d^{2} \tan\left(\frac{1}{2} \, e\right) + 2 \, a d^{2}}{4 \, {\left(d^{5} x^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d^{5} x^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, f x\right)^{2} + d^{5} x^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, f x\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + c^{2} d^{3} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, f x\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, e\right)^{2} + d^{5} x^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, f x\right)^{2} + c^{2} d^{3} \tan\left(\frac{c f}{2 \, d}\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"-1/4*(b*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - b*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*b*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*b*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) + 2*b*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*b*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*b*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*b*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 4*b*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - b*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + b*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 - 2*b*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 4*b*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 4*b*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) + 8*b*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 4*b*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 4*b*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - b*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 + b*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*b*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*e)^2 + 4*b*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 4*b*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + b*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - b*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + b*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - b*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*b*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - 2*b*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - 2*b*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 2*b*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 - 4*b*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 2*b*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 2*b*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 8*b*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 8*b*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) + 16*b*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 2*b*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*b*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*b*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*b*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*b*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*b*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 - 4*b*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*b*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*b*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*b*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*b*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*b*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*b*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 4*b*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b*d^2*f*x*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + b*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2 - b*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2 + 2*b*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2 - 4*b*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - 4*b*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - b*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2 + b*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2 - 2*b*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2 - b*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + b*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 - 2*b*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 4*b*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 4*b*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 4*b*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) - 4*b*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) + 8*b*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e) + 4*b*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 4*b*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) + 8*b*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*c*f/d)*tan(1/2*e) - 4*b*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 4*b*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - b*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2 + b*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2 - 2*b*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2 - b*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 + b*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*b*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2*tan(1/2*e)^2 + 4*b*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 4*b*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + b*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - b*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b*c*d*f*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2 - 2*b*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2 + 4*b*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2 - 2*b*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d) - 2*b*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d) - 2*b*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - 2*b*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*c*f/d) - 2*b*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2 + 2*b*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2 - 4*b*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2 - 2*b*d^2*f*x*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 2*b*d^2*f^2*x^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e) + 2*b*d^2*f^2*x^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e) + 2*b*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 2*b*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2*tan(1/2*e) + 8*b*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) - 8*b*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) + 16*b*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e) - 2*b*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*b*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 8*b*d^2*f*x*tan(1/2*f*x)*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*b*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2 + 2*b*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2 - 4*b*c*d*f^2*x*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2 + 2*b*d^2*f*x*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*b*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 2*b*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 - 2*b*d^2*f*x*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*a*d^2*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + b*d^2*f^2*x^2*imag_part(cos_integral(f*x + c*f/d)) - b*d^2*f^2*x^2*imag_part(cos_integral(-f*x - c*f/d)) + 2*b*d^2*f^2*x^2*sin_integral((d*f*x + c*f)/d) + b*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*f*x)^2 - b*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*f*x)^2 + 2*b*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*f*x)^2 - 4*b*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d) - 4*b*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d) - b*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2 + b*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2 - 2*b*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2 - 2*b*c*d*f*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 4*b*c*d*f^2*x*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e) + 4*b*c*d*f^2*x*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e) + 4*b*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) - 4*b*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) + 8*b*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e) - 8*b*c*d*f*tan(1/2*f*x)*tan(1/2*c*f/d)^2*tan(1/2*e) - 4*b*d^2*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - b*c^2*f^2*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2 + b*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2 - 2*b*c^2*f^2*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2 + 2*b*c*d*f*tan(1/2*f*x)^2*tan(1/2*e)^2 - 2*b*c*d*f*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*b*d^2*tan(1/2*f*x)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b*c*d*f^2*x*imag_part(cos_integral(f*x + c*f/d)) - 2*b*c*d*f^2*x*imag_part(cos_integral(-f*x - c*f/d)) + 4*b*c*d*f^2*x*sin_integral((d*f*x + c*f)/d) - 2*b*d^2*f*x*tan(1/2*f*x)^2 - 2*b*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d) - 2*b*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d) + 2*b*d^2*f*x*tan(1/2*c*f/d)^2 + 2*a*d^2*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 2*b*c^2*f^2*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e) + 2*b*c^2*f^2*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e) - 8*b*d^2*f*x*tan(1/2*f*x)*tan(1/2*e) - 2*b*d^2*f*x*tan(1/2*e)^2 + 2*a*d^2*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*a*d^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + b*c^2*f^2*imag_part(cos_integral(f*x + c*f/d)) - b*c^2*f^2*imag_part(cos_integral(-f*x - c*f/d)) + 2*b*c^2*f^2*sin_integral((d*f*x + c*f)/d) - 2*b*c*d*f*tan(1/2*f*x)^2 + 2*b*c*d*f*tan(1/2*c*f/d)^2 + 4*b*d^2*tan(1/2*f*x)*tan(1/2*c*f/d)^2 - 8*b*c*d*f*tan(1/2*f*x)*tan(1/2*e) - 4*b*d^2*tan(1/2*f*x)^2*tan(1/2*e) + 4*b*d^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*b*c*d*f*tan(1/2*e)^2 - 4*b*d^2*tan(1/2*f*x)*tan(1/2*e)^2 + 2*b*d^2*f*x + 2*a*d^2*tan(1/2*f*x)^2 + 2*a*d^2*tan(1/2*c*f/d)^2 + 2*a*d^2*tan(1/2*e)^2 + 2*b*c*d*f + 4*b*d^2*tan(1/2*f*x) + 4*b*d^2*tan(1/2*e) + 2*a*d^2)/(d^5*x^2*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*c*d^4*x*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + d^5*x^2*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + d^5*x^2*tan(1/2*f*x)^2*tan(1/2*e)^2 + d^5*x^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + c^2*d^3*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*c*d^4*x*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + 2*c*d^4*x*tan(1/2*f*x)^2*tan(1/2*e)^2 + 2*c*d^4*x*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + d^5*x^2*tan(1/2*f*x)^2 + d^5*x^2*tan(1/2*c*f/d)^2 + c^2*d^3*tan(1/2*f*x)^2*tan(1/2*c*f/d)^2 + d^5*x^2*tan(1/2*e)^2 + c^2*d^3*tan(1/2*f*x)^2*tan(1/2*e)^2 + c^2*d^3*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*c*d^4*x*tan(1/2*f*x)^2 + 2*c*d^4*x*tan(1/2*c*f/d)^2 + 2*c*d^4*x*tan(1/2*e)^2 + d^5*x^2 + c^2*d^3*tan(1/2*f*x)^2 + c^2*d^3*tan(1/2*c*f/d)^2 + c^2*d^3*tan(1/2*e)^2 + 2*c*d^4*x + c^2*d^3)","C",0
157,1,371,0,0.340616," ","integrate((d*x+c)^3*(a+b*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{1}{4} \, a^{2} d^{3} x^{4} + \frac{1}{8} \, b^{2} d^{3} x^{4} + a^{2} c d^{2} x^{3} + \frac{1}{2} \, b^{2} c d^{2} x^{3} + \frac{3}{2} \, a^{2} c^{2} d x^{2} + \frac{3}{4} \, b^{2} c^{2} d x^{2} + a^{2} c^{3} x + \frac{1}{2} \, b^{2} c^{3} x - \frac{3 \, {\left(2 \, b^{2} d^{3} f^{2} x^{2} + 4 \, b^{2} c d^{2} f^{2} x + 2 \, b^{2} c^{2} d f^{2} - b^{2} d^{3}\right)} \cos\left(2 \, f x + 2 \, e\right)}{16 \, f^{4}} - \frac{2 \, {\left(a b d^{3} f^{3} x^{3} + 3 \, a b c d^{2} f^{3} x^{2} + 3 \, a b c^{2} d f^{3} x + a b c^{3} f^{3} - 6 \, a b d^{3} f x - 6 \, a b c d^{2} f\right)} \cos\left(f x + e\right)}{f^{4}} - \frac{{\left(2 \, b^{2} d^{3} f^{3} x^{3} + 6 \, b^{2} c d^{2} f^{3} x^{2} + 6 \, b^{2} c^{2} d f^{3} x + 2 \, b^{2} c^{3} f^{3} - 3 \, b^{2} d^{3} f x - 3 \, b^{2} c d^{2} f\right)} \sin\left(2 \, f x + 2 \, e\right)}{8 \, f^{4}} + \frac{6 \, {\left(a b d^{3} f^{2} x^{2} + 2 \, a b c d^{2} f^{2} x + a b c^{2} d f^{2} - 2 \, a b d^{3}\right)} \sin\left(f x + e\right)}{f^{4}}"," ",0,"1/4*a^2*d^3*x^4 + 1/8*b^2*d^3*x^4 + a^2*c*d^2*x^3 + 1/2*b^2*c*d^2*x^3 + 3/2*a^2*c^2*d*x^2 + 3/4*b^2*c^2*d*x^2 + a^2*c^3*x + 1/2*b^2*c^3*x - 3/16*(2*b^2*d^3*f^2*x^2 + 4*b^2*c*d^2*f^2*x + 2*b^2*c^2*d*f^2 - b^2*d^3)*cos(2*f*x + 2*e)/f^4 - 2*(a*b*d^3*f^3*x^3 + 3*a*b*c*d^2*f^3*x^2 + 3*a*b*c^2*d*f^3*x + a*b*c^3*f^3 - 6*a*b*d^3*f*x - 6*a*b*c*d^2*f)*cos(f*x + e)/f^4 - 1/8*(2*b^2*d^3*f^3*x^3 + 6*b^2*c*d^2*f^3*x^2 + 6*b^2*c^2*d*f^3*x + 2*b^2*c^3*f^3 - 3*b^2*d^3*f*x - 3*b^2*c*d^2*f)*sin(2*f*x + 2*e)/f^4 + 6*(a*b*d^3*f^2*x^2 + 2*a*b*c*d^2*f^2*x + a*b*c^2*d*f^2 - 2*a*b*d^3)*sin(f*x + e)/f^4","A",0
158,1,229,0,0.338144," ","integrate((d*x+c)^2*(a+b*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{1}{3} \, a^{2} d^{2} x^{3} + \frac{1}{6} \, b^{2} d^{2} x^{3} + a^{2} c d x^{2} + \frac{1}{2} \, b^{2} c d x^{2} + a^{2} c^{2} x + \frac{1}{2} \, b^{2} c^{2} x - \frac{{\left(b^{2} d^{2} f x + b^{2} c d f\right)} \cos\left(2 \, f x + 2 \, e\right)}{4 \, f^{3}} - \frac{2 \, {\left(a b d^{2} f^{2} x^{2} + 2 \, a b c d f^{2} x + a b c^{2} f^{2} - 2 \, a b d^{2}\right)} \cos\left(f x + e\right)}{f^{3}} - \frac{{\left(2 \, b^{2} d^{2} f^{2} x^{2} + 4 \, b^{2} c d f^{2} x + 2 \, b^{2} c^{2} f^{2} - b^{2} d^{2}\right)} \sin\left(2 \, f x + 2 \, e\right)}{8 \, f^{3}} + \frac{4 \, {\left(a b d^{2} f x + a b c d f\right)} \sin\left(f x + e\right)}{f^{3}}"," ",0,"1/3*a^2*d^2*x^3 + 1/6*b^2*d^2*x^3 + a^2*c*d*x^2 + 1/2*b^2*c*d*x^2 + a^2*c^2*x + 1/2*b^2*c^2*x - 1/4*(b^2*d^2*f*x + b^2*c*d*f)*cos(2*f*x + 2*e)/f^3 - 2*(a*b*d^2*f^2*x^2 + 2*a*b*c*d*f^2*x + a*b*c^2*f^2 - 2*a*b*d^2)*cos(f*x + e)/f^3 - 1/8*(2*b^2*d^2*f^2*x^2 + 4*b^2*c*d*f^2*x + 2*b^2*c^2*f^2 - b^2*d^2)*sin(2*f*x + 2*e)/f^3 + 4*(a*b*d^2*f*x + a*b*c*d*f)*sin(f*x + e)/f^3","A",0
159,1,119,0,0.974651," ","integrate((d*x+c)*(a+b*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{1}{2} \, a^{2} d x^{2} + \frac{1}{4} \, b^{2} d x^{2} + a^{2} c x + \frac{1}{2} \, b^{2} c x - \frac{b^{2} d \cos\left(2 \, f x + 2 \, e\right)}{8 \, f^{2}} + \frac{2 \, a b d \sin\left(f x + e\right)}{f^{2}} - \frac{2 \, {\left(a b d f x + a b c f\right)} \cos\left(f x + e\right)}{f^{2}} - \frac{{\left(b^{2} d f x + b^{2} c f\right)} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f^{2}}"," ",0,"1/2*a^2*d*x^2 + 1/4*b^2*d*x^2 + a^2*c*x + 1/2*b^2*c*x - 1/8*b^2*d*cos(2*f*x + 2*e)/f^2 + 2*a*b*d*sin(f*x + e)/f^2 - 2*(a*b*d*f*x + a*b*c*f)*cos(f*x + e)/f^2 - 1/4*(b^2*d*f*x + b^2*c*f)*sin(2*f*x + 2*e)/f^2","A",0
160,1,7397,0,1.718361," ","integrate((a+b*sin(f*x+e))^2/(d*x+c),x, algorithm=""giac"")","\frac{4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 4 \, b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} - 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 16 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 16 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 32 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) - 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(e\right)^{2} - 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(e\right)^{2} + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} - 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + 16 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 16 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 32 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) - 4 \, b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) - 4 \, b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 4 \, b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} + 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} - 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + 16 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 16 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 32 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} - 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right) - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) + 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right) - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right) + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right) - 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right) + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) + 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right) + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right) + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(e\right)^{2} - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(e\right)^{2} + 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) \tan\left(e\right)^{2} - 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(e\right)^{2} - 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(e\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) \tan\left(e\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{d}\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right)^{2} + 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{d}\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right)^{2} - 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right)^{2} + 16 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 16 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) + 32 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{c f}{2 \, d}\right) \tan\left(\frac{1}{2} \, e\right) - 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} - b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right)^{2} - 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(\frac{1}{2} \, e\right)^{2} - 4 \, b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(e\right) - 4 \, b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) \tan\left(e\right) + 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(e\right)^{2} - 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(e\right)^{2} + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) \tan\left(e\right)^{2} + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) \tan\left(e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(e\right)^{2} + b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(e\right)^{2} + 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right) \tan\left(e\right)^{2} - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(\frac{c f}{d}\right) - 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(\frac{c f}{d}\right) - 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) - 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{c f}{2 \, d}\right) + 8 \, a b \Re \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 8 \, a b \Re \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) \tan\left(\frac{1}{2} \, e\right) + 2 \, b^{2} \Im \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) \tan\left(e\right) - 2 \, b^{2} \Im \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) \tan\left(e\right) + 4 \, b^{2} \operatorname{Si}\left(\frac{2 \, {\left(d f x + c f\right)}}{d}\right) \tan\left(e\right) + 4 \, a b \Im \left( \operatorname{Ci}\left(f x + \frac{c f}{d}\right) \right) - 4 \, a b \Im \left( \operatorname{Ci}\left(-f x - \frac{c f}{d}\right) \right) + 4 \, a^{2} \log\left({\left| d x + c \right|}\right) + 2 \, b^{2} \log\left({\left| d x + c \right|}\right) - b^{2} \Re \left( \operatorname{Ci}\left(2 \, f x + \frac{2 \, c f}{d}\right) \right) - b^{2} \Re \left( \operatorname{Ci}\left(-2 \, f x - \frac{2 \, c f}{d}\right) \right) + 8 \, a b \operatorname{Si}\left(\frac{d f x + c f}{d}\right)}{4 \, {\left(d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{c f}{2 \, d}\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(\frac{1}{2} \, e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{2 \, d}\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{1}{2} \, e\right)^{2} \tan\left(e\right)^{2} + d \tan\left(\frac{c f}{d}\right)^{2} + d \tan\left(\frac{c f}{2 \, d}\right)^{2} + d \tan\left(\frac{1}{2} \, e\right)^{2} + d \tan\left(e\right)^{2} + d\right)}}"," ",0,"1/4*(4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 4*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 2*b^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) + 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)*tan(e)^2 - 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)*tan(e)^2 + 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)^2*tan(e)^2 + 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)^2*tan(e)^2 + 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 4*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 4*b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 + 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 + 4*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 + 2*b^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 - b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 - b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 - 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 + 16*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 - 16*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 + 32*a*b*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 - 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 4*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 2*b^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 4*a^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 2*b^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 - 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e) - 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e) + 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 + 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e)^2 - 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e) + 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e) - 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e) - 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e) + 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2*tan(e) - 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*e)^2*tan(e) + 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) + 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e) - 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(e)^2 - 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(e)^2 + 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(e)^2 - 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(e)^2 + 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(e)^2 + 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*e)*tan(e)^2 + 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*e)*tan(e)^2 - 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)*tan(e)^2 - 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)*tan(e)^2 + 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2*tan(e)^2 - 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2*tan(e)^2 + 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*e)^2*tan(e)^2 + 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2*tan(e)^2 + 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2*tan(e)^2 - 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + 4*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + 2*b^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)^2 - 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + 16*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e) - 16*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e) + 32*a*b*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*c*f/d)*tan(1/2*e) - 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2 + 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2 + 4*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*e)^2 + 2*b^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(1/2*e)^2 + b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2 + b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(1/2*e)^2 - 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(1/2*e)^2 + 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 4*a^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 2*b^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(1/2*e)^2 - 4*b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(e) - 4*b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2*tan(e) - 4*b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2*tan(e) - 4*b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2*tan(e) + 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(e)^2 - 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(e)^2 + 4*a^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(e)^2 + 2*b^2*log(abs(d*x + c))*tan(c*f/d)^2*tan(e)^2 - b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(e)^2 - b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(e)^2 + 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2*tan(e)^2 - 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(e)^2 + 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(e)^2 + 4*a^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2*tan(e)^2 + 2*b^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2*tan(e)^2 + b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2*tan(e)^2 + b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2*tan(e)^2 - 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(e)^2 + 16*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 - 16*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 + 32*a*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e)*tan(e)^2 - 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2*tan(e)^2 + 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2*tan(e)^2 + 4*a^2*log(abs(d*x + c))*tan(1/2*e)^2*tan(e)^2 + 2*b^2*log(abs(d*x + c))*tan(1/2*e)^2*tan(e)^2 + b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*e)^2*tan(e)^2 + b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*e)^2*tan(e)^2 - 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2*tan(e)^2 - 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d) - 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*c*f/d) - 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2 + 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*c*f/d)^2 - 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*c*f/d)^2 + 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2*tan(1/2*e) + 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2*tan(1/2*e) - 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2*tan(1/2*e) - 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2 + 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(1/2*e)^2 - 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(1/2*e)^2 + 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 + 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e)^2 - 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2*tan(e) + 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2*tan(e) - 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)^2*tan(e) + 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2*tan(e) - 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2*tan(e) + 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(1/2*c*f/d)^2*tan(e) + 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*e)^2*tan(e) - 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*e)^2*tan(e) + 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(1/2*e)^2*tan(e) + 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(e)^2 - 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(e)^2 + 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d)*tan(e)^2 - 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(e)^2 - 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(e)^2 + 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e)*tan(e)^2 + 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)*tan(e)^2 + 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(c*f/d)^2 - 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(c*f/d)^2 + 4*a^2*log(abs(d*x + c))*tan(c*f/d)^2 + 2*b^2*log(abs(d*x + c))*tan(c*f/d)^2 + b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)^2 + b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)^2 + 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(c*f/d)^2 - 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)^2 + 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)^2 + 4*a^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2 + 2*b^2*log(abs(d*x + c))*tan(1/2*c*f/d)^2 - b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*c*f/d)^2 - b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*c*f/d)^2 - 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)^2 + 16*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) - 16*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d)*tan(1/2*e) + 32*a*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*c*f/d)*tan(1/2*e) - 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(1/2*e)^2 + 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(1/2*e)^2 + 4*a^2*log(abs(d*x + c))*tan(1/2*e)^2 + 2*b^2*log(abs(d*x + c))*tan(1/2*e)^2 - b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(1/2*e)^2 - b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(1/2*e)^2 - 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(1/2*e)^2 - 4*b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d)*tan(e) - 4*b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d)*tan(e) + 4*a*b*imag_part(cos_integral(f*x + c*f/d))*tan(e)^2 - 4*a*b*imag_part(cos_integral(-f*x - c*f/d))*tan(e)^2 + 4*a^2*log(abs(d*x + c))*tan(e)^2 + 2*b^2*log(abs(d*x + c))*tan(e)^2 + b^2*real_part(cos_integral(2*f*x + 2*c*f/d))*tan(e)^2 + b^2*real_part(cos_integral(-2*f*x - 2*c*f/d))*tan(e)^2 + 8*a*b*sin_integral((d*f*x + c*f)/d)*tan(e)^2 - 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(c*f/d) + 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(c*f/d) - 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(c*f/d) - 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*c*f/d) - 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*c*f/d) + 8*a*b*real_part(cos_integral(f*x + c*f/d))*tan(1/2*e) + 8*a*b*real_part(cos_integral(-f*x - c*f/d))*tan(1/2*e) + 2*b^2*imag_part(cos_integral(2*f*x + 2*c*f/d))*tan(e) - 2*b^2*imag_part(cos_integral(-2*f*x - 2*c*f/d))*tan(e) + 4*b^2*sin_integral(2*(d*f*x + c*f)/d)*tan(e) + 4*a*b*imag_part(cos_integral(f*x + c*f/d)) - 4*a*b*imag_part(cos_integral(-f*x - c*f/d)) + 4*a^2*log(abs(d*x + c)) + 2*b^2*log(abs(d*x + c)) - b^2*real_part(cos_integral(2*f*x + 2*c*f/d)) - b^2*real_part(cos_integral(-2*f*x - 2*c*f/d)) + 8*a*b*sin_integral((d*f*x + c*f)/d))/(d*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + d*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + d*tan(c*f/d)^2*tan(1/2*c*f/d)^2*tan(e)^2 + d*tan(c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + d*tan(1/2*c*f/d)^2*tan(1/2*e)^2*tan(e)^2 + d*tan(c*f/d)^2*tan(1/2*c*f/d)^2 + d*tan(c*f/d)^2*tan(1/2*e)^2 + d*tan(1/2*c*f/d)^2*tan(1/2*e)^2 + d*tan(c*f/d)^2*tan(e)^2 + d*tan(1/2*c*f/d)^2*tan(e)^2 + d*tan(1/2*e)^2*tan(e)^2 + d*tan(c*f/d)^2 + d*tan(1/2*c*f/d)^2 + d*tan(1/2*e)^2 + d*tan(e)^2 + d)","C",0
161,1,1135,0,1.129810," ","integrate((a+b*sin(f*x+e))^2/(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(4 \, {\left(d x + c\right)} a b {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} \cos\left(\frac{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) - 4 \, a b c f^{3} \cos\left(\frac{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) + 4 \, a b d f^{2} \cos\left(\frac{c f - d e}{d}\right) \operatorname{Ci}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) e - 2 \, {\left(d x + c\right)} b^{2} {\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 \, b^{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 \, b^{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) + 4 \, {\left(d x + c\right)} a b {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} f^{2} \sin\left(\frac{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) - 4 \, a b c f^{3} \sin\left(\frac{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) + 4 \, a b d f^{2} e \sin\left(\frac{c f - d e}{d}\right) \operatorname{Si}\left(-\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c f + d e}{d}\right) + 2 \, {\left(d x + c\right)} b^{2} {\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 \, b^{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 \, b^{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) - b^{2} 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) - 4 \, a b d f^{2} \sin\left(\frac{{\left(d x + c\right)} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)}}{d}\right) + 2 \, a^{2} d f^{2} + b^{2} d f^{2}\right)} d^{2}}{2 \, {\left({\left(d x + c\right)} d^{4} {\left(\frac{c f}{d x + c} - f - \frac{d e}{d x + c}\right)} - c d^{4} f + d^{5} e\right)} f}"," ",0,"1/2*(4*(d*x + c)*a*b*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - 4*a*b*c*f^3*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + 4*a*b*d*f^2*cos((c*f - d*e)/d)*cos_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d)*e - 2*(d*x + c)*b^2*(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*b^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*b^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) + 4*(d*x + c)*a*b*(c*f/(d*x + c) - f - d*e/(d*x + c))*f^2*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) - 4*a*b*c*f^3*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + 4*a*b*d*f^2*e*sin((c*f - d*e)/d)*sin_integral(-((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*f + d*e)/d) + 2*(d*x + c)*b^2*(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*b^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*b^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) - b^2*d*f^2*cos(2*(d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) - 4*a*b*d*f^2*sin((d*x + c)*(c*f/(d*x + c) - f - d*e/(d*x + c))/d) + 2*a^2*d*f^2 + b^2*d*f^2)*d^2/(((d*x + c)*d^4*(c*f/(d*x + c) - f - d*e/(d*x + c)) - c*d^4*f + d^5*e)*f)","B",0
162,-1,0,0,0.000000," ","integrate((a+b*sin(f*x+e))^2/(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{b \sin\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^3/(b*sin(f*x + e) + a), x)","F",0
164,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{b \sin\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^2/(b*sin(f*x + e) + a), x)","F",0
165,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{d x + c}{b \sin\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)/(b*sin(f*x + e) + a), x)","F",0
166,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)} {\left(b \sin\left(f x + e\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(b*sin(f*x + e) + a)), x)","F",0
167,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)}^{2} {\left(b \sin\left(f x + e\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x + c)^2*(b*sin(f*x + e) + a)), x)","F",0
168,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{{\left(b \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^3/(b*sin(f*x + e) + a)^2, x)","F",0
169,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{{\left(b \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^2/(b*sin(f*x + e) + a)^2, x)","F",0
170,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{d x + c}{{\left(b \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)/(b*sin(f*x + e) + a)^2, x)","F",0
171,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(d x + c\right)} {\left(b \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x + c)*(b*sin(f*x + e) + a)^2), x)","F",0
172,-1,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
173,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+b*sin(f*x+e))^n,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} {\left(b \sin\left(f x + e\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((d*x + c)^m*(b*sin(f*x + e) + a)^n, x)","F",0
174,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+b*sin(f*x+e))^3,x, algorithm=""giac"")","\int {\left(b \sin\left(f x + e\right) + a\right)}^{3} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((b*sin(f*x + e) + a)^3*(d*x + c)^m, x)","F",0
175,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+b*sin(f*x+e))^2,x, algorithm=""giac"")","\int {\left(b \sin\left(f x + e\right) + a\right)}^{2} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((b*sin(f*x + e) + a)^2*(d*x + c)^m, x)","F",0
176,0,0,0,0.000000," ","integrate((d*x+c)^m*(a+b*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(b \sin\left(f x + e\right) + a\right)} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate((b*sin(f*x + e) + a)*(d*x + c)^m, x)","F",0
177,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+b*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{b \sin\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((d*x + c)^m/(b*sin(f*x + e) + a), x)","F",0
178,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+b*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(b \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^m/(b*sin(f*x + e) + a)^2, x)","F",0
179,0,0,0,0.000000," ","integrate((f*x+e)^3*sin(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sin\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*sin(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
180,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sin\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*sin(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
181,1,772,0,1.708603," ","integrate((f*x+e)*sin(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\frac{d^{2} f x^{2} \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) - d^{2} f x^{2} \tan\left(\frac{1}{2} \, d x\right) - d^{2} f x^{2} \tan\left(\frac{1}{2} \, c\right) + 2 \, d^{2} x e \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) - d^{2} f x^{2} - 2 \, d^{2} x e \tan\left(\frac{1}{2} \, d x\right) - 2 \, d^{2} x e \tan\left(\frac{1}{2} \, c\right) + 2 \, d f x \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) - 2 \, d^{2} x e + 2 \, d f x \tan\left(\frac{1}{2} \, d x\right) + 2 \, d f x \tan\left(\frac{1}{2} \, c\right) + 2 \, d e \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) - 2 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) - 2 \, d f x + 2 \, d e \tan\left(\frac{1}{2} \, d x\right) + 2 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) + 2 \, d e \tan\left(\frac{1}{2} \, c\right) + 2 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, c\right) - 2 \, d e + 2 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right)}{2 \, {\left(a d^{2} \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) - a d^{2} \tan\left(\frac{1}{2} \, d x\right) - a d^{2} \tan\left(\frac{1}{2} \, c\right) - a d^{2}\right)}}"," ",0,"1/2*(d^2*f*x^2*tan(1/2*d*x)*tan(1/2*c) - d^2*f*x^2*tan(1/2*d*x) - d^2*f*x^2*tan(1/2*c) + 2*d^2*x*e*tan(1/2*d*x)*tan(1/2*c) - d^2*f*x^2 - 2*d^2*x*e*tan(1/2*d*x) - 2*d^2*x*e*tan(1/2*c) + 2*d*f*x*tan(1/2*d*x)*tan(1/2*c) - 2*d^2*x*e + 2*d*f*x*tan(1/2*d*x) + 2*d*f*x*tan(1/2*c) + 2*d*e*tan(1/2*d*x)*tan(1/2*c) - 2*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)*tan(1/2*c) - 2*d*f*x + 2*d*e*tan(1/2*d*x) + 2*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x) + 2*d*e*tan(1/2*c) + 2*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*c) - 2*d*e + 2*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1)))/(a*d^2*tan(1/2*d*x)*tan(1/2*c) - a*d^2*tan(1/2*d*x) - a*d^2*tan(1/2*c) - a*d^2)","B",0
182,1,32,0,0.853473," ","integrate(sin(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{d x + c}{a} + \frac{2}{a {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}}}{d}"," ",0,"((d*x + c)/a + 2/(a*(tan(1/2*d*x + 1/2*c) + 1)))/d","A",0
183,0,0,0,0.000000," ","integrate(sin(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\sin\left(d x + c\right)}{{\left(f x + e\right)} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((f*x + e)*(a*sin(d*x + c) + a)), x)","F",0
184,0,0,0,0.000000," ","integrate(sin(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\sin\left(d x + c\right)}{{\left(f x + e\right)}^{2} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(sin(d*x + c)/((f*x + e)^2*(a*sin(d*x + c) + a)), x)","F",0
185,0,0,0,0.000000," ","integrate((f*x+e)^3*sin(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sin\left(d x + c\right)^{2}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*sin(d*x + c)^2/(a*sin(d*x + c) + a), x)","F",0
186,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sin\left(d x + c\right)^{2}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*sin(d*x + c)^2/(a*sin(d*x + c) + a), x)","F",0
187,-1,0,0,0.000000," ","integrate((f*x+e)*sin(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
188,1,77,0,0.631042," ","integrate(sin(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{d x + c}{a} + \frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)} a}}{d}"," ",0,"-((d*x + c)/a + 2*(tan(1/2*d*x + 1/2*c)^2 + tan(1/2*d*x + 1/2*c) + 2)/((tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c)^2 + tan(1/2*d*x + 1/2*c) + 1)*a))/d","A",0
189,0,0,0,0.000000," ","integrate(sin(d*x+c)^2/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\sin\left(d x + c\right)^{2}}{{\left(f x + e\right)} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(sin(d*x + c)^2/((f*x + e)*(a*sin(d*x + c) + a)), x)","F",0
190,0,0,0,0.000000," ","integrate(sin(d*x+c)^2/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\sin\left(d x + c\right)^{2}}{{\left(f x + e\right)}^{2} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(sin(d*x + c)^2/((f*x + e)^2*(a*sin(d*x + c) + a)), x)","F",0
191,0,0,0,0.000000," ","integrate((f*x+e)^3*sin(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sin\left(d x + c\right)^{3}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*sin(d*x + c)^3/(a*sin(d*x + c) + a), x)","F",0
192,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sin\left(d x + c\right)^{3}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*sin(d*x + c)^3/(a*sin(d*x + c) + a), x)","F",0
193,-1,0,0,0.000000," ","integrate((f*x+e)*sin(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
194,1,91,0,0.397596," ","integrate(sin(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{3 \, {\left(d x + c\right)}}{a} + \frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{2} a} + \frac{4}{a {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}}}{2 \, d}"," ",0,"1/2*(3*(d*x + c)/a + 2*(tan(1/2*d*x + 1/2*c)^3 + 2*tan(1/2*d*x + 1/2*c)^2 - tan(1/2*d*x + 1/2*c) + 2)/((tan(1/2*d*x + 1/2*c)^2 + 1)^2*a) + 4/(a*(tan(1/2*d*x + 1/2*c) + 1)))/d","A",0
195,0,0,0,0.000000," ","integrate(sin(d*x+c)^3/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\sin\left(d x + c\right)^{3}}{{\left(f x + e\right)} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(sin(d*x + c)^3/((f*x + e)*(a*sin(d*x + c) + a)), x)","F",0
196,0,0,0,0.000000," ","integrate(sin(d*x+c)^3/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\sin\left(d x + c\right)^{3}}{{\left(f x + e\right)}^{2} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(sin(d*x + c)^3/((f*x + e)^2*(a*sin(d*x + c) + a)), x)","F",0
197,0,0,0,0.000000," ","integrate((f*x+e)^3*csc(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \csc\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*csc(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
198,0,0,0,0.000000," ","integrate((f*x+e)^2*csc(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \csc\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*csc(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
199,0,0,0,0.000000," ","integrate((f*x+e)*csc(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \csc\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*csc(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
200,1,38,0,1.474069," ","integrate(csc(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{\log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a} + \frac{2}{a {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}}}{d}"," ",0,"(log(abs(tan(1/2*d*x + 1/2*c)))/a + 2/(a*(tan(1/2*d*x + 1/2*c) + 1)))/d","A",0
201,0,0,0,0.000000," ","integrate(csc(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\csc\left(d x + c\right)}{{\left(f x + e\right)} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(csc(d*x + c)/((f*x + e)*(a*sin(d*x + c) + a)), x)","F",0
202,-1,0,0,0.000000," ","integrate(csc(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
203,-1,0,0,0.000000," ","integrate((f*x+e)^3*csc(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
204,-1,0,0,0.000000," ","integrate((f*x+e)^2*csc(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
205,0,0,0,0.000000," ","integrate((f*x+e)*csc(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \csc\left(d x + c\right)^{2}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*csc(d*x + c)^2/(a*sin(d*x + c) + a), x)","F",0
206,1,88,0,0.379579," ","integrate(csc(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a} - \frac{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{a} - \frac{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 4 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} a}}{2 \, d}"," ",0,"-1/2*(2*log(abs(tan(1/2*d*x + 1/2*c)))/a - tan(1/2*d*x + 1/2*c)/a - (tan(1/2*d*x + 1/2*c)^2 - 4*tan(1/2*d*x + 1/2*c) - 1)/((tan(1/2*d*x + 1/2*c)^2 + tan(1/2*d*x + 1/2*c))*a))/d","A",0
207,-1,0,0,0.000000," ","integrate(csc(d*x+c)^2/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
208,-1,0,0,0.000000," ","integrate(csc(d*x+c)^2/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
209,-1,0,0,0.000000," ","integrate((f*x+e)^3*csc(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,-1,0,0,0.000000," ","integrate((f*x+e)^2*csc(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
211,0,0,0,0.000000," ","integrate((f*x+e)*csc(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \csc\left(d x + c\right)^{3}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*csc(d*x + c)^3/(a*sin(d*x + c) + a), x)","F",0
212,1,112,0,0.664346," ","integrate(csc(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{12 \, \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a} + \frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{a^{2}} + \frac{16}{a {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}} - \frac{18 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 4 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1}{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}}{8 \, d}"," ",0,"1/8*(12*log(abs(tan(1/2*d*x + 1/2*c)))/a + (a*tan(1/2*d*x + 1/2*c)^2 - 4*a*tan(1/2*d*x + 1/2*c))/a^2 + 16/(a*(tan(1/2*d*x + 1/2*c) + 1)) - (18*tan(1/2*d*x + 1/2*c)^2 - 4*tan(1/2*d*x + 1/2*c) + 1)/(a*tan(1/2*d*x + 1/2*c)^2))/d","A",0
213,-1,0,0,0.000000," ","integrate(csc(d*x+c)^3/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
214,-1,0,0,0.000000," ","integrate(csc(d*x+c)^3/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
215,0,0,0,0.000000," ","integrate((f*x+e)^m*sin(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \sin\left(d x + c\right)^{2}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*sin(d*x + c)^2/(a*sin(d*x + c) + a), x)","F",0
216,0,0,0,0.000000," ","integrate((f*x+e)^m*sin(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \sin\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*sin(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
217,0,0,0,0.000000," ","integrate((f*x+e)^m/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m/(a*sin(d*x + c) + a), x)","F",0
218,0,0,0,0.000000," ","integrate((f*x+e)^m*csc(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \csc\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*csc(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
219,0,0,0,0.000000," ","integrate((f*x+e)^m*csc(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \csc\left(d x + c\right)^{2}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*csc(d*x + c)^2/(a*sin(d*x + c) + a), x)","F",0
220,0,0,0,0.000000," ","integrate((f*x+e)^3*sin(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sin\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*sin(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
221,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sin\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*sin(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
222,0,0,0,0.000000," ","integrate((f*x+e)*sin(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \sin\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*sin(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
223,1,77,0,0.316141," ","integrate(sin(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(\pi \left \lfloor \frac{d x + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)} a}{\sqrt{a^{2} - b^{2}} b} - \frac{d x + c}{b}}{d}"," ",0,"-(2*(pi*floor(1/2*(d*x + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x + 1/2*c) + b)/sqrt(a^2 - b^2)))*a/(sqrt(a^2 - b^2)*b) - (d*x + c)/b)/d","A",0
224,0,0,0,0.000000," ","integrate((f*x+e)^3*sin(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sin\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*sin(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
225,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sin\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*sin(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
226,0,0,0,0.000000," ","integrate((f*x+e)*sin(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \sin\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*sin(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
227,1,99,0,0.733790," ","integrate(sin(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(\pi \left \lfloor \frac{d x + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)} a^{2}}{\sqrt{a^{2} - b^{2}} b^{2}} - \frac{{\left(d x + c\right)} a}{b^{2}} - \frac{2}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)} b}}{d}"," ",0,"(2*(pi*floor(1/2*(d*x + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x + 1/2*c) + b)/sqrt(a^2 - b^2)))*a^2/(sqrt(a^2 - b^2)*b^2) - (d*x + c)*a/b^2 - 2/((tan(1/2*d*x + 1/2*c)^2 + 1)*b))/d","A",0
228,0,0,0,0.000000," ","integrate((f*x+e)^3*sin(d*x+c)^3/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sin\left(d x + c\right)^{3}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*sin(d*x + c)^3/(b*sin(d*x + c) + a), x)","F",0
229,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(d*x+c)^3/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sin\left(d x + c\right)^{3}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*sin(d*x + c)^3/(b*sin(d*x + c) + a), x)","F",0
230,0,0,0,0.000000," ","integrate((f*x+e)*sin(d*x+c)^3/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \sin\left(d x + c\right)^{3}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*sin(d*x + c)^3/(b*sin(d*x + c) + a), x)","F",0
231,1,151,0,0.321523," ","integrate(sin(d*x+c)^3/(a+b*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(\pi \left \lfloor \frac{d x + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)} a^{3}}{\sqrt{a^{2} - b^{2}} b^{3}} - \frac{{\left(2 \, a^{2} + b^{2}\right)} {\left(d x + c\right)}}{b^{3}} - \frac{2 \, {\left(b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 2 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \, a\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{2} b^{2}}}{2 \, d}"," ",0,"-1/2*(4*(pi*floor(1/2*(d*x + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x + 1/2*c) + b)/sqrt(a^2 - b^2)))*a^3/(sqrt(a^2 - b^2)*b^3) - (2*a^2 + b^2)*(d*x + c)/b^3 - 2*(b*tan(1/2*d*x + 1/2*c)^3 + 2*a*tan(1/2*d*x + 1/2*c)^2 - b*tan(1/2*d*x + 1/2*c) + 2*a)/((tan(1/2*d*x + 1/2*c)^2 + 1)^2*b^2))/d","A",0
232,-1,0,0,0.000000," ","integrate((f*x+e)^3*csc(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
233,-1,0,0,0.000000," ","integrate((f*x+e)^2*csc(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
234,-1,0,0,0.000000," ","integrate((f*x+e)*csc(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
235,1,83,0,0.695992," ","integrate(csc(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(\pi \left \lfloor \frac{d x + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)} b}{\sqrt{a^{2} - b^{2}} a} - \frac{\log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a}}{d}"," ",0,"-(2*(pi*floor(1/2*(d*x + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x + 1/2*c) + b)/sqrt(a^2 - b^2)))*b/(sqrt(a^2 - b^2)*a) - log(abs(tan(1/2*d*x + 1/2*c)))/a)/d","A",0
236,-1,0,0,0.000000," ","integrate((f*x+e)^3*csc(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
237,-1,0,0,0.000000," ","integrate((f*x+e)^2*csc(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
238,-1,0,0,0.000000," ","integrate((f*x+e)*csc(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,1,130,0,2.406715," ","integrate(csc(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{4 \, {\left(\pi \left \lfloor \frac{d x + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)} b^{2}}{\sqrt{a^{2} - b^{2}} a^{2}} - \frac{2 \, b \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a^{2}} + \frac{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{a} + \frac{2 \, b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - a}{a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{2 \, d}"," ",0,"1/2*(4*(pi*floor(1/2*(d*x + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x + 1/2*c) + b)/sqrt(a^2 - b^2)))*b^2/(sqrt(a^2 - b^2)*a^2) - 2*b*log(abs(tan(1/2*d*x + 1/2*c)))/a^2 + tan(1/2*d*x + 1/2*c)/a + (2*b*tan(1/2*d*x + 1/2*c) - a)/(a^2*tan(1/2*d*x + 1/2*c)))/d","A",0
240,0,0,0,0.000000," ","integrate((f*x+e)^m*sin(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \sin\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*sin(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
241,0,0,0,0.000000," ","integrate((f*x+e)^m*sin(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \sin\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*sin(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
242,0,0,0,0.000000," ","integrate((f*x+e)^m/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m/(b*sin(d*x + c) + a), x)","F",0
243,0,0,0,0.000000," ","integrate((f*x+e)^m*csc(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \csc\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*csc(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
244,0,0,0,0.000000," ","integrate((f*x+e)^m*csc(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \csc\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*csc(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
245,0,0,0,0.000000," ","integrate((f*x+e)*sin(d*x+c)/(a+b*sin(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \sin\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((f*x + e)*sin(d*x + c)/(b*sin(d*x + c) + a)^2, x)","F",0
246,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(d*x+c)/(a+b*sin(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sin\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((f*x + e)^2*sin(d*x + c)/(b*sin(d*x + c) + a)^2, x)","F",0
247,0,0,0,0.000000," ","integrate((f*x+e)^3*sin(d*x+c)/(a+b*sin(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sin\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((f*x + e)^3*sin(d*x + c)/(b*sin(d*x + c) + a)^2, x)","F",0
248,0,0,0,0.000000," ","integrate((f*x+e)*sin(d*x+c)/(a+b*sin(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \sin\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((f*x + e)*sin(d*x + c)/(b*sin(d*x + c) + a)^3, x)","F",0
249,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(d*x+c)/(a+b*sin(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sin\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((f*x + e)^2*sin(d*x + c)/(b*sin(d*x + c) + a)^3, x)","F",0
250,0,0,0,0.000000," ","integrate((f*x+e)^3*sin(d*x+c)/(a+b*sin(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sin\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((f*x + e)^3*sin(d*x + c)/(b*sin(d*x + c) + a)^3, x)","F",0
251,0,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \cos\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*cos(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
252,0,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \cos\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*cos(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
253,0,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \cos\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*cos(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
254,1,19,0,1.868833," ","integrate(cos(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\frac{\log\left({\left| a \sin\left(d x + c\right) + a \right|}\right)}{a d}"," ",0,"log(abs(a*sin(d*x + c) + a))/(a*d)","A",0
255,0,0,0,0.000000," ","integrate(cos(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)}{{\left(f x + e\right)} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(cos(d*x + c)/((f*x + e)*(a*sin(d*x + c) + a)), x)","F",0
256,0,0,0,0.000000," ","integrate(cos(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)}{{\left(f x + e\right)}^{2} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(cos(d*x + c)/((f*x + e)^2*(a*sin(d*x + c) + a)), x)","F",0
257,-1,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,-1,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,-1,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
260,1,34,0,0.672407," ","integrate(cos(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{d x + c}{a} + \frac{2}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)} a}}{d}"," ",0,"((d*x + c)/a + 2/((tan(1/2*d*x + 1/2*c)^2 + 1)*a))/d","A",0
261,1,716,0,1.305466," ","integrate(cos(d*x+c)^2/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, \log\left({\left| f x + e \right|}\right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 2 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \log\left({\left| f x + e \right|}\right) \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) + 8 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) - \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, \log\left({\left| f x + e \right|}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) + 2 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) - 2 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right) + \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) - \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) - 2 \, \log\left({\left| f x + e \right|}\right) + 2 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right)}{2 \, {\left(a f \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f \tan\left(\frac{1}{2} \, c\right)^{2} + a f \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f\right)}}"," ",0,"-1/2*(imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f)^2 - imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f)^2 - 2*log(abs(f*x + e))*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + 2*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + 2*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f) + 2*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f) - 2*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)*tan(1/2*d*e/f)^2 - 2*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)*tan(1/2*d*e/f)^2 - imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^2 + imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^2 - 2*log(abs(f*x + e))*tan(1/2*c)^2 - 2*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)^2 + 4*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)*tan(1/2*d*e/f) - 4*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)*tan(1/2*d*e/f) + 8*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)*tan(1/2*d*e/f) - imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*e/f)^2 + imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*e/f)^2 - 2*log(abs(f*x + e))*tan(1/2*d*e/f)^2 - 2*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*e/f)^2 + 2*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c) + 2*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c) - 2*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*e/f) - 2*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*e/f) + imag_part(cos_integral(d*x + d*e/f)) - imag_part(cos_integral(-d*x - d*e/f)) - 2*log(abs(f*x + e)) + 2*sin_integral((d*f*x + d*e)/f))/(a*f*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + a*f*tan(1/2*c)^2 + a*f*tan(1/2*d*e/f)^2 + a*f)","C",0
262,1,3408,0,6.452790," ","integrate(cos(d*x+c)^2/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","-\frac{d f x \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + d f x \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, d f x \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 2 \, d f x \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 4 \, d f x \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 2 \, d f x \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, d f x \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, d f x \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + d e \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + d e \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - d f x \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - d f x \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 4 \, d f x \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) + 4 \, d f x \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) - 2 \, d e \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 2 \, d e \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 4 \, d e \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - d f x \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - d f x \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, d e \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, d e \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, d e \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + d f x \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + d f x \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, d f x \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) + 2 \, d f x \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) - 4 \, d f x \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) - d e \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - d e \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, d f x \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 2 \, d f x \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 4 \, d f x \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 4 \, d e \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) + 4 \, d e \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) - 2 \, d f x \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 2 \, d f x \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 4 \, d f x \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - d e \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - d e \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, d f x \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, d f x \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, d f x \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + d e \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + d e \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, f \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + d f x \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} + d f x \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} - 2 \, d e \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) + 2 \, d e \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) - 4 \, d e \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) - d f x \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} - d f x \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, d e \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 2 \, d e \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 4 \, d e \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 4 \, d f x \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) + 4 \, d f x \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) - 2 \, d e \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 2 \, d e \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 4 \, d e \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - d f x \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - d f x \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, d e \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, d e \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, d e \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, f \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, f \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + d e \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} + d e \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, d x\right)^{2} - 2 \, d f x \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) + 2 \, d f x \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) - 4 \, d f x \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right) - d e \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} - d e \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, f \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, d f x \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right) - 2 \, d f x \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right) + 4 \, d f x \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right) + 4 \, d e \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) + 4 \, d e \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) - d e \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - d e \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, f \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, f \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + d f x \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) + d f x \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) - 2 \, d e \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) + 2 \, d e \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) - 4 \, d e \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right) + 4 \, f \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) + 4 \, f \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, d e \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right) - 2 \, d e \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right) + 4 \, d e \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right) - 4 \, f \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, f \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + d e \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) + d e \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) + 2 \, f \tan\left(\frac{1}{2} \, d x\right)^{2} + 2 \, f \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, f \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, f \tan\left(\frac{1}{2} \, d x\right) - 4 \, f \tan\left(\frac{1}{2} \, c\right) + 2 \, f}{2 \, {\left(a f^{3} x \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f^{2} e \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f^{3} x \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + a f^{3} x \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f^{3} x \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f^{2} e \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + a f^{2} e \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f^{2} e \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f^{3} x \tan\left(\frac{1}{2} \, d x\right)^{2} + a f^{3} x \tan\left(\frac{1}{2} \, c\right)^{2} + a f^{3} x \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f^{2} e \tan\left(\frac{1}{2} \, d x\right)^{2} + a f^{2} e \tan\left(\frac{1}{2} \, c\right)^{2} + a f^{2} e \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f^{3} x + a f^{2} e\right)}}"," ",0,"-1/2*(d*f*x*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + d*f*x*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f)^2 - 2*d*f*x*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f) + 2*d*f*x*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f) - 4*d*f*x*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f) + 2*d*f*x*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)*tan(1/2*d*e/f)^2 - 2*d*f*x*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)*tan(1/2*d*e/f)^2 + 4*d*f*x*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*x)^2*tan(1/2*c)*tan(1/2*d*e/f)^2 + d*e*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + d*e*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f)^2 - d*f*x*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2 - d*f*x*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2 + 4*d*f*x*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)*tan(1/2*d*e/f) + 4*d*f*x*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)*tan(1/2*d*e/f) - 2*d*e*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f) + 2*d*e*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f) - 4*d*e*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f) - d*f*x*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*d*e/f)^2 - d*f*x*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*d*e/f)^2 + 2*d*e*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)*tan(1/2*d*e/f)^2 - 2*d*e*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)*tan(1/2*d*e/f)^2 + 4*d*e*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*x)^2*tan(1/2*c)*tan(1/2*d*e/f)^2 + d*f*x*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + d*f*x*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f)^2 - 2*d*f*x*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c) + 2*d*f*x*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c) - 4*d*f*x*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*x)^2*tan(1/2*c) - d*e*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2 - d*e*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*d*f*x*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*d*e/f) - 2*d*f*x*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*d*e/f) + 4*d*f*x*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*x)^2*tan(1/2*d*e/f) + 4*d*e*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)*tan(1/2*d*e/f) + 4*d*e*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c)*tan(1/2*d*e/f) - 2*d*f*x*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f) + 2*d*f*x*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f) - 4*d*f*x*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)^2*tan(1/2*d*e/f) - d*e*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*d*e/f)^2 - d*e*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*d*e/f)^2 + 2*d*f*x*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)*tan(1/2*d*e/f)^2 - 2*d*f*x*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)*tan(1/2*d*e/f)^2 + 4*d*f*x*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)*tan(1/2*d*e/f)^2 + d*e*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + d*e*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + 2*f*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + d*f*x*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2 + d*f*x*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2 - 2*d*e*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*c) + 2*d*e*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*c) - 4*d*e*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*x)^2*tan(1/2*c) - d*f*x*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^2 - d*f*x*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^2 + 2*d*e*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2*tan(1/2*d*e/f) - 2*d*e*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2*tan(1/2*d*e/f) + 4*d*e*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*x)^2*tan(1/2*d*e/f) + 4*d*f*x*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)*tan(1/2*d*e/f) + 4*d*f*x*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)*tan(1/2*d*e/f) - 2*d*e*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f) + 2*d*e*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f) - 4*d*e*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)^2*tan(1/2*d*e/f) - d*f*x*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*e/f)^2 - d*f*x*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*e/f)^2 + 2*d*e*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)*tan(1/2*d*e/f)^2 - 2*d*e*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)*tan(1/2*d*e/f)^2 + 4*d*e*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)*tan(1/2*d*e/f)^2 + 4*f*tan(1/2*d*x)^2*tan(1/2*c)*tan(1/2*d*e/f)^2 + 4*f*tan(1/2*d*x)*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + d*e*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*x)^2 + d*e*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*x)^2 - 2*d*f*x*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c) + 2*d*f*x*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c) - 4*d*f*x*sin_integral((d*f*x + d*e)/f)*tan(1/2*c) - d*e*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^2 - d*e*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^2 + 2*f*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*d*f*x*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*e/f) - 2*d*f*x*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*e/f) + 4*d*f*x*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*e/f) + 4*d*e*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)*tan(1/2*d*e/f) + 4*d*e*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)*tan(1/2*d*e/f) - d*e*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*e/f)^2 - d*e*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*e/f)^2 + 2*f*tan(1/2*d*x)^2*tan(1/2*d*e/f)^2 + 2*f*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + d*f*x*real_part(cos_integral(d*x + d*e/f)) + d*f*x*real_part(cos_integral(-d*x - d*e/f)) - 2*d*e*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c) + 2*d*e*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c) - 4*d*e*sin_integral((d*f*x + d*e)/f)*tan(1/2*c) + 4*f*tan(1/2*d*x)^2*tan(1/2*c) + 4*f*tan(1/2*d*x)*tan(1/2*c)^2 + 2*d*e*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*e/f) - 2*d*e*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*e/f) + 4*d*e*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*e/f) - 4*f*tan(1/2*d*x)*tan(1/2*d*e/f)^2 - 4*f*tan(1/2*c)*tan(1/2*d*e/f)^2 + d*e*real_part(cos_integral(d*x + d*e/f)) + d*e*real_part(cos_integral(-d*x - d*e/f)) + 2*f*tan(1/2*d*x)^2 + 2*f*tan(1/2*c)^2 + 2*f*tan(1/2*d*e/f)^2 - 4*f*tan(1/2*d*x) - 4*f*tan(1/2*c) + 2*f)/(a*f^3*x*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + a*f^2*e*tan(1/2*d*x)^2*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + a*f^3*x*tan(1/2*d*x)^2*tan(1/2*c)^2 + a*f^3*x*tan(1/2*d*x)^2*tan(1/2*d*e/f)^2 + a*f^3*x*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + a*f^2*e*tan(1/2*d*x)^2*tan(1/2*c)^2 + a*f^2*e*tan(1/2*d*x)^2*tan(1/2*d*e/f)^2 + a*f^2*e*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + a*f^3*x*tan(1/2*d*x)^2 + a*f^3*x*tan(1/2*c)^2 + a*f^3*x*tan(1/2*d*e/f)^2 + a*f^2*e*tan(1/2*d*x)^2 + a*f^2*e*tan(1/2*c)^2 + a*f^2*e*tan(1/2*d*e/f)^2 + a*f^3*x + a*f^2*e)","C",0
263,-1,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
264,-1,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
265,-1,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
266,1,25,0,1.031211," ","integrate(cos(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\sin\left(d x + c\right)^{2} - 2 \, \sin\left(d x + c\right)}{2 \, a d}"," ",0,"-1/2*(sin(d*x + c)^2 - 2*sin(d*x + c))/(a*d)","A",0
267,1,4828,0,4.170686," ","integrate(cos(d*x+c)^3/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","-\frac{3 \, \pi + 3 \, \pi \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 4 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 8 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 8 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 3 \, \pi \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} - 16 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 16 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 3 \, \pi \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 16 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 16 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 32 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 6 \, \pi \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 12 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 12 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 24 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right) - 4 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right) + 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} - 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} + 8 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} + 8 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} + 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right)^{2} + 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{2 \, f}\right) - 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{2 \, f}\right) + 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{2 \, f}\right) - 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 8 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 8 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 24 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 24 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 8 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 8 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 3 \, \pi \tan\left(\frac{1}{2} \, c\right)^{4} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} + 4 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} + 4 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{4} + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{4} - 16 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right) + 16 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right) - 32 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{f}\right) + 6 \, \pi \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right)^{2} + 12 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right)^{2} - 12 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right)^{2} + 24 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right)^{2} - 16 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{2 \, f}\right) - 16 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} \tan\left(\frac{d e}{2 \, f}\right) - 16 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 16 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 6 \, \pi \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 12 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 12 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 24 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 16 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 16 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 32 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 3 \, \pi \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} - 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} - 8 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} - 8 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{3} + 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{3} + 24 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right) + 24 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right) + 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} - 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} - 8 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} - 8 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} + 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right)^{2} - 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) + 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right) - 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 8 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 8 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 6 \, \pi \tan\left(\frac{1}{2} \, c\right)^{2} - 12 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} + 12 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right)^{2} - 24 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 16 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right) - 16 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right) + 32 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{f}\right) + 3 \, \pi \tan\left(\frac{d e}{f}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{d e}{f}\right)^{2} - 16 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) - 16 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) \tan\left(\frac{d e}{2 \, f}\right) + 3 \, \pi \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right) \tan\left(\frac{d e}{2 \, f}\right)^{2} + 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) - 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) + 8 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) + 8 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{1}{2} \, c\right) + 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{1}{2} \, c\right) - 4 \, \Re \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right) - 4 \, \Re \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) \tan\left(\frac{d e}{f}\right) - 8 \, \Im \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right) + 8 \, \Im \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) \tan\left(\frac{d e}{2 \, f}\right) - 16 \, \operatorname{Si}\left(\frac{d f x + d e}{f}\right) \tan\left(\frac{d e}{2 \, f}\right) + 2 \, \Im \left( \operatorname{Ci}\left(2 \, d x + \frac{2 \, d e}{f}\right) \right) - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, d x - \frac{2 \, d e}{f}\right) \right) - 4 \, \Re \left( \operatorname{Ci}\left(d x + \frac{d e}{f}\right) \right) - 4 \, \Re \left( \operatorname{Ci}\left(-d x - \frac{d e}{f}\right) \right) + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(d f x + d e\right)}}{f}\right)}{8 \, {\left(a f \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{f}\right)^{2} + a f \tan\left(\frac{1}{2} \, c\right)^{4} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, a f \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f \tan\left(\frac{1}{2} \, c\right)^{4} + 2 \, a f \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{f}\right)^{2} + 2 \, a f \tan\left(\frac{1}{2} \, c\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f \tan\left(\frac{d e}{f}\right)^{2} \tan\left(\frac{d e}{2 \, f}\right)^{2} + 2 \, a f \tan\left(\frac{1}{2} \, c\right)^{2} + a f \tan\left(\frac{d e}{f}\right)^{2} + a f \tan\left(\frac{d e}{2 \, f}\right)^{2} + a f\right)}}"," ",0,"-1/8*(3*pi + 3*pi*tan(1/2*c)^4*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 2*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^4*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 2*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^4*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 4*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^4*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 4*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^4*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 4*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)^4*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 8*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^4*tan(d*e/f)^2*tan(1/2*d*e/f) - 8*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^4*tan(d*e/f)^2*tan(1/2*d*e/f) + 16*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)^4*tan(d*e/f)^2*tan(1/2*d*e/f) - 4*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^4*tan(d*e/f)*tan(1/2*d*e/f)^2 - 4*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^4*tan(d*e/f)*tan(1/2*d*e/f)^2 - 8*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^3*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 8*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^3*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 8*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^3*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 8*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^3*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 16*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)^3*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 3*pi*tan(1/2*c)^4*tan(d*e/f)^2 - 2*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^4*tan(d*e/f)^2 + 2*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^4*tan(d*e/f)^2 + 4*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^4*tan(d*e/f)^2 + 4*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^4*tan(d*e/f)^2 - 4*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)^4*tan(d*e/f)^2 - 16*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^3*tan(d*e/f)^2*tan(1/2*d*e/f) - 16*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^3*tan(d*e/f)^2*tan(1/2*d*e/f) + 3*pi*tan(1/2*c)^4*tan(1/2*d*e/f)^2 + 2*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^4*tan(1/2*d*e/f)^2 - 2*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^4*tan(1/2*d*e/f)^2 - 4*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^4*tan(1/2*d*e/f)^2 - 4*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^4*tan(1/2*d*e/f)^2 + 4*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)^4*tan(1/2*d*e/f)^2 - 16*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^3*tan(d*e/f)*tan(1/2*d*e/f)^2 + 16*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^3*tan(d*e/f)*tan(1/2*d*e/f)^2 - 32*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)^3*tan(d*e/f)*tan(1/2*d*e/f)^2 + 6*pi*tan(1/2*c)^2*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 12*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^2*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 12*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^2*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 24*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)^2*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 4*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^4*tan(d*e/f) - 4*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^4*tan(d*e/f) + 8*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^3*tan(d*e/f)^2 - 8*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^3*tan(d*e/f)^2 + 8*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^3*tan(d*e/f)^2 + 8*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^3*tan(d*e/f)^2 + 16*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)^3*tan(d*e/f)^2 + 8*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^4*tan(1/2*d*e/f) - 8*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^4*tan(1/2*d*e/f) + 16*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)^4*tan(1/2*d*e/f) - 8*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^3*tan(1/2*d*e/f)^2 + 8*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^3*tan(1/2*d*e/f)^2 - 8*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^3*tan(1/2*d*e/f)^2 - 8*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^3*tan(1/2*d*e/f)^2 - 16*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)^3*tan(1/2*d*e/f)^2 + 24*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^2*tan(d*e/f)*tan(1/2*d*e/f)^2 + 24*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^2*tan(d*e/f)*tan(1/2*d*e/f)^2 - 8*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 8*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 8*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 8*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 16*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 3*pi*tan(1/2*c)^4 + 2*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^4 - 2*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^4 + 4*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^4 + 4*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^4 + 4*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)^4 - 16*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^3*tan(d*e/f) + 16*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^3*tan(d*e/f) - 32*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)^3*tan(d*e/f) + 6*pi*tan(1/2*c)^2*tan(d*e/f)^2 + 12*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^2*tan(d*e/f)^2 - 12*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^2*tan(d*e/f)^2 + 24*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)^2*tan(d*e/f)^2 - 16*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^3*tan(1/2*d*e/f) - 16*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^3*tan(1/2*d*e/f) - 16*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)*tan(d*e/f)^2*tan(1/2*d*e/f) - 16*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)*tan(d*e/f)^2*tan(1/2*d*e/f) + 6*pi*tan(1/2*c)^2*tan(1/2*d*e/f)^2 - 12*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + 12*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^2*tan(1/2*d*e/f)^2 - 24*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + 16*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)*tan(d*e/f)*tan(1/2*d*e/f)^2 - 16*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)*tan(d*e/f)*tan(1/2*d*e/f)^2 + 32*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)*tan(d*e/f)*tan(1/2*d*e/f)^2 + 3*pi*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 2*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 2*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 4*real_part(cos_integral(d*x + d*e/f))*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 4*real_part(cos_integral(-d*x - d*e/f))*tan(d*e/f)^2*tan(1/2*d*e/f)^2 - 4*sin_integral(2*(d*f*x + d*e)/f)*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 8*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)^3 - 8*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)^3 - 8*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^3 - 8*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^3 + 16*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)^3 + 24*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^2*tan(d*e/f) + 24*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^2*tan(d*e/f) + 8*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)*tan(d*e/f)^2 - 8*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)*tan(d*e/f)^2 - 8*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)*tan(d*e/f)^2 - 8*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)*tan(d*e/f)^2 + 16*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)*tan(d*e/f)^2 - 8*imag_part(cos_integral(d*x + d*e/f))*tan(d*e/f)^2*tan(1/2*d*e/f) + 8*imag_part(cos_integral(-d*x - d*e/f))*tan(d*e/f)^2*tan(1/2*d*e/f) - 16*sin_integral((d*f*x + d*e)/f)*tan(d*e/f)^2*tan(1/2*d*e/f) - 8*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c)*tan(1/2*d*e/f)^2 + 8*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)*tan(1/2*d*e/f)^2 + 8*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)*tan(1/2*d*e/f)^2 + 8*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)*tan(1/2*d*e/f)^2 - 16*sin_integral((d*f*x + d*e)/f)*tan(1/2*c)*tan(1/2*d*e/f)^2 - 4*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(d*e/f)*tan(1/2*d*e/f)^2 - 4*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(d*e/f)*tan(1/2*d*e/f)^2 + 6*pi*tan(1/2*c)^2 - 12*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)^2 + 12*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)^2 - 24*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)^2 + 16*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c)*tan(d*e/f) - 16*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c)*tan(d*e/f) + 32*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*c)*tan(d*e/f) + 3*pi*tan(d*e/f)^2 - 2*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(d*e/f)^2 + 2*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(d*e/f)^2 - 4*real_part(cos_integral(d*x + d*e/f))*tan(d*e/f)^2 - 4*real_part(cos_integral(-d*x - d*e/f))*tan(d*e/f)^2 - 4*sin_integral(2*(d*f*x + d*e)/f)*tan(d*e/f)^2 - 16*real_part(cos_integral(d*x + d*e/f))*tan(1/2*c)*tan(1/2*d*e/f) - 16*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*c)*tan(1/2*d*e/f) + 3*pi*tan(1/2*d*e/f)^2 + 2*imag_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*d*e/f)^2 - 2*imag_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*d*e/f)^2 + 4*real_part(cos_integral(d*x + d*e/f))*tan(1/2*d*e/f)^2 + 4*real_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*e/f)^2 + 4*sin_integral(2*(d*f*x + d*e)/f)*tan(1/2*d*e/f)^2 + 8*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*c) - 8*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*c) + 8*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(1/2*c) + 8*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(1/2*c) + 16*sin_integral((d*f*x + d*e)/f)*tan(1/2*c) - 4*real_part(cos_integral(2*d*x + 2*d*e/f))*tan(d*e/f) - 4*real_part(cos_integral(-2*d*x - 2*d*e/f))*tan(d*e/f) - 8*imag_part(cos_integral(d*x + d*e/f))*tan(1/2*d*e/f) + 8*imag_part(cos_integral(-d*x - d*e/f))*tan(1/2*d*e/f) - 16*sin_integral((d*f*x + d*e)/f)*tan(1/2*d*e/f) + 2*imag_part(cos_integral(2*d*x + 2*d*e/f)) - 2*imag_part(cos_integral(-2*d*x - 2*d*e/f)) - 4*real_part(cos_integral(d*x + d*e/f)) - 4*real_part(cos_integral(-d*x - d*e/f)) + 4*sin_integral(2*(d*f*x + d*e)/f))/(a*f*tan(1/2*c)^4*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + a*f*tan(1/2*c)^4*tan(d*e/f)^2 + a*f*tan(1/2*c)^4*tan(1/2*d*e/f)^2 + 2*a*f*tan(1/2*c)^2*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + a*f*tan(1/2*c)^4 + 2*a*f*tan(1/2*c)^2*tan(d*e/f)^2 + 2*a*f*tan(1/2*c)^2*tan(1/2*d*e/f)^2 + a*f*tan(d*e/f)^2*tan(1/2*d*e/f)^2 + 2*a*f*tan(1/2*c)^2 + a*f*tan(d*e/f)^2 + a*f*tan(1/2*d*e/f)^2 + a*f)","C",0
268,-1,0,0,0.000000," ","integrate(cos(d*x+c)^3/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
269,0,0,0,0.000000," ","integrate((f*x+e)^3*sec(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sec\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*sec(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
270,0,0,0,0.000000," ","integrate((f*x+e)^2*sec(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sec\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*sec(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
271,0,0,0,0.000000," ","integrate((f*x+e)*sec(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \sec\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*sec(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
272,1,58,0,3.943319," ","integrate(sec(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{\log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right)}{a} - \frac{\log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right)}{a} - \frac{\sin\left(d x + c\right) + 3}{a {\left(\sin\left(d x + c\right) + 1\right)}}}{4 \, d}"," ",0,"1/4*(log(abs(sin(d*x + c) + 1))/a - log(abs(sin(d*x + c) - 1))/a - (sin(d*x + c) + 3)/(a*(sin(d*x + c) + 1)))/d","A",0
273,0,0,0,0.000000," ","integrate(sec(d*x+c)/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)}{{\left(f x + e\right)} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(sec(d*x + c)/((f*x + e)*(a*sin(d*x + c) + a)), x)","F",0
274,0,0,0,0.000000," ","integrate(sec(d*x+c)/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)}{{\left(f x + e\right)}^{2} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(sec(d*x + c)/((f*x + e)^2*(a*sin(d*x + c) + a)), x)","F",0
275,0,0,0,0.000000," ","integrate((f*x+e)^3*sec(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sec\left(d x + c\right)^{2}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*sec(d*x + c)^2/(a*sin(d*x + c) + a), x)","F",0
276,0,0,0,0.000000," ","integrate((f*x+e)^2*sec(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sec\left(d x + c\right)^{2}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*sec(d*x + c)^2/(a*sin(d*x + c) + a), x)","F",0
277,1,6656,0,8.777622," ","integrate((f*x+e)*sec(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","-\frac{4 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{4} + 16 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{3} + 16 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{4} + 4 \, d e \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{4} - 3 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{4} - 5 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{4} - 24 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 64 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{3} + 16 \, d e \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{3} + 6 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{3} + 10 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{3} - 24 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{4} + 16 \, d e \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{4} + 6 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{4} + 10 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{4} + 2 \, f \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{4} + 16 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 24 \, d e \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 64 \, d e \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{3} + 12 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{3} + 20 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{3} + 16 \, d f x \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{4} - 24 \, d e \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{4} + 4 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{4} + 64 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right) + 16 \, d e \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 6 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 10 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 144 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 36 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} - 60 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + 64 \, d f x \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{3} - 36 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{3} - 60 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{3} - 8 \, f \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{3} + 4 \, d f x \tan\left(\frac{1}{2} \, c\right)^{4} + 16 \, d e \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{4} - 6 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{4} - 10 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{4} - 16 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{3} + 4 \, d e \tan\left(\frac{1}{2} \, d x\right)^{4} + 3 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{4} + 5 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{4} + 64 \, d e \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right) + 12 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right) + 20 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right) + 144 \, d e \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 16 \, d f x \tan\left(\frac{1}{2} \, c\right)^{3} + 64 \, d e \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{3} + 12 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{3} + 20 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{3} + 4 \, d e \tan\left(\frac{1}{2} \, c\right)^{4} + 3 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, c\right)^{4} + 5 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, c\right)^{4} - 24 \, d f x \tan\left(\frac{1}{2} \, d x\right)^{2} - 16 \, d e \tan\left(\frac{1}{2} \, d x\right)^{3} + 6 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{3} + 10 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, f \tan\left(\frac{1}{2} \, d x\right)^{4} - 64 \, d f x \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) + 36 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) + 60 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) - 8 \, f \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right) - 24 \, d f x \tan\left(\frac{1}{2} \, c\right)^{2} + 36 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 60 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} - 16 \, d e \tan\left(\frac{1}{2} \, c\right)^{3} + 6 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, c\right)^{3} + 10 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, c\right)^{3} - 8 \, f \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{3} - 2 \, f \tan\left(\frac{1}{2} \, c\right)^{4} - 16 \, d f x \tan\left(\frac{1}{2} \, d x\right) - 24 \, d e \tan\left(\frac{1}{2} \, d x\right)^{2} - 16 \, d f x \tan\left(\frac{1}{2} \, c\right) - 64 \, d e \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) + 12 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) + 20 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) - 24 \, d e \tan\left(\frac{1}{2} \, c\right)^{2} + 4 \, d f x - 16 \, d e \tan\left(\frac{1}{2} \, d x\right) - 6 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) - 10 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, d x\right) - 16 \, d e \tan\left(\frac{1}{2} \, c\right) - 6 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, c\right) - 10 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, c\right) - 8 \, f \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) + 4 \, d e - 3 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} + 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right) - 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) - 5 \, f \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) - 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + \tan\left(\frac{1}{2} \, d x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right)^{2} + \tan\left(\frac{1}{2} \, c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x\right) + 2 \, \tan\left(\frac{1}{2} \, c\right) + 1\right)}}{\tan\left(\frac{1}{2} \, c\right)^{2} + 1}\right) + 2 \, f}{12 \, {\left(a d^{2} \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{4} - 2 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right)^{3} - 2 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{4} - 4 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{3} + 2 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right)^{4} \tan\left(\frac{1}{2} \, c\right) + 12 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right)^{2} + 12 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right)^{3} + 2 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{4} - a d^{2} \tan\left(\frac{1}{2} \, d x\right)^{4} - 4 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right)^{3} \tan\left(\frac{1}{2} \, c\right) - 4 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{3} - a d^{2} \tan\left(\frac{1}{2} \, c\right)^{4} - 2 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right)^{3} - 12 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right)^{2} \tan\left(\frac{1}{2} \, c\right) - 12 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right)^{2} - 2 \, a d^{2} \tan\left(\frac{1}{2} \, c\right)^{3} - 4 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right) \tan\left(\frac{1}{2} \, c\right) + 2 \, a d^{2} \tan\left(\frac{1}{2} \, d x\right) + 2 \, a d^{2} \tan\left(\frac{1}{2} \, c\right) + a d^{2}\right)}}"," ",0,"-1/12*(4*d*f*x*tan(1/2*d*x)^4*tan(1/2*c)^4 + 16*d*f*x*tan(1/2*d*x)^4*tan(1/2*c)^3 + 16*d*f*x*tan(1/2*d*x)^3*tan(1/2*c)^4 + 4*d*e*tan(1/2*d*x)^4*tan(1/2*c)^4 - 3*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^4*tan(1/2*c)^4 - 5*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^4*tan(1/2*c)^4 - 24*d*f*x*tan(1/2*d*x)^4*tan(1/2*c)^2 - 64*d*f*x*tan(1/2*d*x)^3*tan(1/2*c)^3 + 16*d*e*tan(1/2*d*x)^4*tan(1/2*c)^3 + 6*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^4*tan(1/2*c)^3 + 10*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^4*tan(1/2*c)^3 - 24*d*f*x*tan(1/2*d*x)^2*tan(1/2*c)^4 + 16*d*e*tan(1/2*d*x)^3*tan(1/2*c)^4 + 6*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^3*tan(1/2*c)^4 + 10*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^3*tan(1/2*c)^4 + 2*f*tan(1/2*d*x)^4*tan(1/2*c)^4 + 16*d*f*x*tan(1/2*d*x)^4*tan(1/2*c) - 24*d*e*tan(1/2*d*x)^4*tan(1/2*c)^2 - 64*d*e*tan(1/2*d*x)^3*tan(1/2*c)^3 + 12*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^3*tan(1/2*c)^3 + 20*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^3*tan(1/2*c)^3 + 16*d*f*x*tan(1/2*d*x)*tan(1/2*c)^4 - 24*d*e*tan(1/2*d*x)^2*tan(1/2*c)^4 + 4*d*f*x*tan(1/2*d*x)^4 + 64*d*f*x*tan(1/2*d*x)^3*tan(1/2*c) + 16*d*e*tan(1/2*d*x)^4*tan(1/2*c) - 6*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^4*tan(1/2*c) - 10*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^4*tan(1/2*c) + 144*d*f*x*tan(1/2*d*x)^2*tan(1/2*c)^2 - 36*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^3*tan(1/2*c)^2 - 60*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^3*tan(1/2*c)^2 + 64*d*f*x*tan(1/2*d*x)*tan(1/2*c)^3 - 36*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^2*tan(1/2*c)^3 - 60*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^2*tan(1/2*c)^3 - 8*f*tan(1/2*d*x)^3*tan(1/2*c)^3 + 4*d*f*x*tan(1/2*c)^4 + 16*d*e*tan(1/2*d*x)*tan(1/2*c)^4 - 6*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)*tan(1/2*c)^4 - 10*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)*tan(1/2*c)^4 - 16*d*f*x*tan(1/2*d*x)^3 + 4*d*e*tan(1/2*d*x)^4 + 3*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^4 + 5*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^4 + 64*d*e*tan(1/2*d*x)^3*tan(1/2*c) + 12*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^3*tan(1/2*c) + 20*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^3*tan(1/2*c) + 144*d*e*tan(1/2*d*x)^2*tan(1/2*c)^2 - 16*d*f*x*tan(1/2*c)^3 + 64*d*e*tan(1/2*d*x)*tan(1/2*c)^3 + 12*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)*tan(1/2*c)^3 + 20*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)*tan(1/2*c)^3 + 4*d*e*tan(1/2*c)^4 + 3*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*c)^4 + 5*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*c)^4 - 24*d*f*x*tan(1/2*d*x)^2 - 16*d*e*tan(1/2*d*x)^3 + 6*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^3 + 10*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^3 - 2*f*tan(1/2*d*x)^4 - 64*d*f*x*tan(1/2*d*x)*tan(1/2*c) + 36*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^2*tan(1/2*c) + 60*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)^2*tan(1/2*c) - 8*f*tan(1/2*d*x)^3*tan(1/2*c) - 24*d*f*x*tan(1/2*c)^2 + 36*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)*tan(1/2*c)^2 + 60*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)*tan(1/2*c)^2 - 16*d*e*tan(1/2*c)^3 + 6*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*c)^3 + 10*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*c)^3 - 8*f*tan(1/2*d*x)*tan(1/2*c)^3 - 2*f*tan(1/2*c)^4 - 16*d*f*x*tan(1/2*d*x) - 24*d*e*tan(1/2*d*x)^2 - 16*d*f*x*tan(1/2*c) - 64*d*e*tan(1/2*d*x)*tan(1/2*c) + 12*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)*tan(1/2*c) + 20*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x)*tan(1/2*c) - 24*d*e*tan(1/2*c)^2 + 4*d*f*x - 16*d*e*tan(1/2*d*x) - 6*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x) - 10*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*d*x) - 16*d*e*tan(1/2*c) - 6*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*c) - 10*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1))*tan(1/2*c) - 8*f*tan(1/2*d*x)*tan(1/2*c) + 4*d*e - 3*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 + 2*tan(1/2*d*x)^4*tan(1/2*c) + 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 - 2*tan(1/2*d*x)^3 + 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 - 2*tan(1/2*d*x) - 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1)) - 5*f*log(2*(tan(1/2*d*x)^4*tan(1/2*c)^2 - 2*tan(1/2*d*x)^4*tan(1/2*c) - 2*tan(1/2*d*x)^3*tan(1/2*c)^2 + tan(1/2*d*x)^4 + 2*tan(1/2*d*x)^2*tan(1/2*c)^2 + 2*tan(1/2*d*x)^3 - 2*tan(1/2*d*x)*tan(1/2*c)^2 + 2*tan(1/2*d*x)^2 + tan(1/2*c)^2 + 2*tan(1/2*d*x) + 2*tan(1/2*c) + 1)/(tan(1/2*c)^2 + 1)) + 2*f)/(a*d^2*tan(1/2*d*x)^4*tan(1/2*c)^4 - 2*a*d^2*tan(1/2*d*x)^4*tan(1/2*c)^3 - 2*a*d^2*tan(1/2*d*x)^3*tan(1/2*c)^4 - 4*a*d^2*tan(1/2*d*x)^3*tan(1/2*c)^3 + 2*a*d^2*tan(1/2*d*x)^4*tan(1/2*c) + 12*a*d^2*tan(1/2*d*x)^3*tan(1/2*c)^2 + 12*a*d^2*tan(1/2*d*x)^2*tan(1/2*c)^3 + 2*a*d^2*tan(1/2*d*x)*tan(1/2*c)^4 - a*d^2*tan(1/2*d*x)^4 - 4*a*d^2*tan(1/2*d*x)^3*tan(1/2*c) - 4*a*d^2*tan(1/2*d*x)*tan(1/2*c)^3 - a*d^2*tan(1/2*c)^4 - 2*a*d^2*tan(1/2*d*x)^3 - 12*a*d^2*tan(1/2*d*x)^2*tan(1/2*c) - 12*a*d^2*tan(1/2*d*x)*tan(1/2*c)^2 - 2*a*d^2*tan(1/2*c)^3 - 4*a*d^2*tan(1/2*d*x)*tan(1/2*c) + 2*a*d^2*tan(1/2*d*x) + 2*a*d^2*tan(1/2*c) + a*d^2)","B",0
278,1,67,0,0.268265," ","integrate(sec(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{3}{a {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1\right)}} + \frac{9 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 12 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 7}{a {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}^{3}}}{6 \, d}"," ",0,"-1/6*(3/(a*(tan(1/2*d*x + 1/2*c) - 1)) + (9*tan(1/2*d*x + 1/2*c)^2 + 12*tan(1/2*d*x + 1/2*c) + 7)/(a*(tan(1/2*d*x + 1/2*c) + 1)^3))/d","A",0
279,0,0,0,0.000000," ","integrate(sec(d*x+c)^2/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{2}}{{\left(f x + e\right)} {\left(a \sin\left(d x + c\right) + a\right)}}\,{d x}"," ",0,"integrate(sec(d*x + c)^2/((f*x + e)*(a*sin(d*x + c) + a)), x)","F",0
280,-1,0,0,0.000000," ","integrate(sec(d*x+c)^2/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
281,0,0,0,0.000000," ","integrate((f*x+e)^3*sec(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sec\left(d x + c\right)^{3}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*sec(d*x + c)^3/(a*sin(d*x + c) + a), x)","F",0
282,0,0,0,0.000000," ","integrate((f*x+e)^2*sec(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sec\left(d x + c\right)^{3}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*sec(d*x + c)^3/(a*sin(d*x + c) + a), x)","F",0
283,0,0,0,0.000000," ","integrate((f*x+e)*sec(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \sec\left(d x + c\right)^{3}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*sec(d*x + c)^3/(a*sin(d*x + c) + a), x)","F",0
284,1,96,0,1.991815," ","integrate(sec(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{6 \, \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right)}{a} - \frac{6 \, \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right)}{a} + \frac{2 \, {\left(3 \, \sin\left(d x + c\right) - 5\right)}}{a {\left(\sin\left(d x + c\right) - 1\right)}} - \frac{9 \, \sin\left(d x + c\right)^{2} + 26 \, \sin\left(d x + c\right) + 21}{a {\left(\sin\left(d x + c\right) + 1\right)}^{2}}}{32 \, d}"," ",0,"1/32*(6*log(abs(sin(d*x + c) + 1))/a - 6*log(abs(sin(d*x + c) - 1))/a + 2*(3*sin(d*x + c) - 5)/(a*(sin(d*x + c) - 1)) - (9*sin(d*x + c)^2 + 26*sin(d*x + c) + 21)/(a*(sin(d*x + c) + 1)^2))/d","A",0
285,-1,0,0,0.000000," ","integrate(sec(d*x+c)^3/(f*x+e)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
286,-1,0,0,0.000000," ","integrate(sec(d*x+c)^3/(f*x+e)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
287,0,0,0,0.000000," ","integrate((f*x+e)^m*cos(d*x+c)^4/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \cos\left(d x + c\right)^{4}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*cos(d*x + c)^4/(a*sin(d*x + c) + a), x)","F",0
288,0,0,0,0.000000," ","integrate((f*x+e)^m*cos(d*x+c)^3/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \cos\left(d x + c\right)^{3}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*cos(d*x + c)^3/(a*sin(d*x + c) + a), x)","F",0
289,0,0,0,0.000000," ","integrate((f*x+e)^m*cos(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \cos\left(d x + c\right)^{2}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*cos(d*x + c)^2/(a*sin(d*x + c) + a), x)","F",0
290,0,0,0,0.000000," ","integrate((f*x+e)^m*cos(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \cos\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*cos(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
291,0,0,0,0.000000," ","integrate((f*x+e)^m/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m/(a*sin(d*x + c) + a), x)","F",0
292,0,0,0,0.000000," ","integrate((f*x+e)^m*sec(d*x+c)/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \sec\left(d x + c\right)}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*sec(d*x + c)/(a*sin(d*x + c) + a), x)","F",0
293,0,0,0,0.000000," ","integrate((f*x+e)^m*sec(d*x+c)^2/(a+a*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \sec\left(d x + c\right)^{2}}{a \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*sec(d*x + c)^2/(a*sin(d*x + c) + a), x)","F",0
294,0,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \cos\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*cos(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
295,0,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \cos\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*cos(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
296,0,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \cos\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*cos(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
297,1,19,0,0.313719," ","integrate(cos(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\frac{\log\left({\left| b \sin\left(d x + c\right) + a \right|}\right)}{b d}"," ",0,"log(abs(b*sin(d*x + c) + a))/(b*d)","A",0
298,0,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \cos\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*cos(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
299,0,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \cos\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*cos(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
300,0,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \cos\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*cos(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
301,1,95,0,0.321570," ","integrate(cos(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{{\left(d x + c\right)} a}{b^{2}} - \frac{2 \, {\left(\pi \left \lfloor \frac{d x + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)} \sqrt{a^{2} - b^{2}}}{b^{2}} + \frac{2}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)} b}}{d}"," ",0,"((d*x + c)*a/b^2 - 2*(pi*floor(1/2*(d*x + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x + 1/2*c) + b)/sqrt(a^2 - b^2)))*sqrt(a^2 - b^2)/b^2 + 2/((tan(1/2*d*x + 1/2*c)^2 + 1)*b))/d","A",0
302,0,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)^3/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \cos\left(d x + c\right)^{3}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*cos(d*x + c)^3/(b*sin(d*x + c) + a), x)","F",0
303,0,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)^3/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \cos\left(d x + c\right)^{3}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*cos(d*x + c)^3/(b*sin(d*x + c) + a), x)","F",0
304,0,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)^3/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \cos\left(d x + c\right)^{3}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*cos(d*x + c)^3/(b*sin(d*x + c) + a), x)","F",0
305,1,56,0,0.725661," ","integrate(cos(d*x+c)^3/(a+b*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{b \sin\left(d x + c\right)^{2} - 2 \, a \sin\left(d x + c\right)}{b^{2}} + \frac{2 \, {\left(a^{2} - b^{2}\right)} \log\left({\left| b \sin\left(d x + c\right) + a \right|}\right)}{b^{3}}}{2 \, d}"," ",0,"-1/2*((b*sin(d*x + c)^2 - 2*a*sin(d*x + c))/b^2 + 2*(a^2 - b^2)*log(abs(b*sin(d*x + c) + a))/b^3)/d","A",0
306,0,0,0,0.000000," ","integrate((f*x+e)^3*sec(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sec\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*sec(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
307,0,0,0,0.000000," ","integrate((f*x+e)^2*sec(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sec\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*sec(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
308,0,0,0,0.000000," ","integrate((f*x+e)*sec(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \sec\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*sec(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
309,1,71,0,2.090641," ","integrate(sec(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, b^{2} \log\left({\left| b \sin\left(d x + c\right) + a \right|}\right)}{a^{2} b - b^{3}} - \frac{\log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right)}{a - b} + \frac{\log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right)}{a + b}}{2 \, d}"," ",0,"-1/2*(2*b^2*log(abs(b*sin(d*x + c) + a))/(a^2*b - b^3) - log(abs(sin(d*x + c) + 1))/(a - b) + log(abs(sin(d*x + c) - 1))/(a + b))/d","A",0
310,0,0,0,0.000000," ","integrate((f*x+e)^3*sec(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \sec\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^3*sec(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
311,0,0,0,0.000000," ","integrate((f*x+e)^2*sec(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \sec\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2*sec(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
312,0,0,0,0.000000," ","integrate((f*x+e)*sec(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \sec\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*sec(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
313,1,107,0,1.979223," ","integrate(sec(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{{\left(\pi \left \lfloor \frac{d x + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)} b^{2}}{{\left(a^{2} - b^{2}\right)}^{\frac{3}{2}}} + \frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - b}{{\left(a^{2} - b^{2}\right)} {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}}\right)}}{d}"," ",0,"-2*((pi*floor(1/2*(d*x + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x + 1/2*c) + b)/sqrt(a^2 - b^2)))*b^2/(a^2 - b^2)^(3/2) + (a*tan(1/2*d*x + 1/2*c) - b)/((a^2 - b^2)*(tan(1/2*d*x + 1/2*c)^2 - 1)))/d","A",0
314,0,0,0,0.000000," ","integrate((f*x+e)^m*cos(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \cos\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*cos(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
315,0,0,0,0.000000," ","integrate((f*x+e)^m*cos(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \cos\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*cos(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
316,0,0,0,0.000000," ","integrate((f*x+e)^m/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m/(b*sin(d*x + c) + a), x)","F",0
317,0,0,0,0.000000," ","integrate((f*x+e)^m*sec(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \sec\left(d x + c\right)}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*sec(d*x + c)/(b*sin(d*x + c) + a), x)","F",0
318,0,0,0,0.000000," ","integrate((f*x+e)^m*sec(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{m} \sec\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^m*sec(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
319,0,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)/(a+b*sin(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \cos\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((f*x + e)*cos(d*x + c)/(b*sin(d*x + c) + a)^2, x)","F",0
320,0,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)/(a+b*sin(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \cos\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((f*x + e)^2*cos(d*x + c)/(b*sin(d*x + c) + a)^2, x)","F",0
321,0,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)/(a+b*sin(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \cos\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((f*x + e)^3*cos(d*x + c)/(b*sin(d*x + c) + a)^2, x)","F",0
322,0,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)/(a+b*sin(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \cos\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((f*x + e)*cos(d*x + c)/(b*sin(d*x + c) + a)^3, x)","F",0
323,0,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)/(a+b*sin(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} \cos\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((f*x + e)^2*cos(d*x + c)/(b*sin(d*x + c) + a)^3, x)","F",0
324,0,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)/(a+b*sin(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{3} \cos\left(d x + c\right)}{{\left(b \sin\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((f*x + e)^3*cos(d*x + c)/(b*sin(d*x + c) + a)^3, x)","F",0
325,-1,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
326,-1,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
327,-1,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
328,1,94,0,3.342970," ","integrate(cos(d*x+c)*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{d x + c}{b} - \frac{\log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a} - \frac{2 \, {\left(\pi \left \lfloor \frac{d x + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)} \sqrt{a^{2} - b^{2}}}{a b}}{d}"," ",0,"-((d*x + c)/b - log(abs(tan(1/2*d*x + 1/2*c)))/a - 2*(pi*floor(1/2*(d*x + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x + 1/2*c) + b)/sqrt(a^2 - b^2)))*sqrt(a^2 - b^2)/(a*b))/d","A",0
329,-1,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)^2*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
330,-1,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)^2*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
331,-1,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)^2*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
332,1,56,0,0.722423," ","integrate(cos(d*x+c)^2*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{\log\left({\left| \sin\left(d x + c\right) \right|}\right)}{a} - \frac{\sin\left(d x + c\right)}{b} + \frac{{\left(a^{2} - b^{2}\right)} \log\left({\left| b \sin\left(d x + c\right) + a \right|}\right)}{a b^{2}}}{d}"," ",0,"(log(abs(sin(d*x + c)))/a - sin(d*x + c)/b + (a^2 - b^2)*log(abs(b*sin(d*x + c) + a))/(a*b^2))/d","A",0
333,-1,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
334,-1,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
335,-1,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
336,1,183,0,0.645017," ","integrate(cos(d*x+c)^3*cot(d*x+c)/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\frac{\frac{2 \, \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a} + \frac{{\left(2 \, a^{2} - 3 \, b^{2}\right)} {\left(d x + c\right)}}{b^{3}} - \frac{4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(\pi \left \lfloor \frac{d x + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)}}{\sqrt{a^{2} - b^{2}} a b^{3}} + \frac{2 \, {\left(b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 2 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \, a\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{2} b^{2}}}{2 \, d}"," ",0,"1/2*(2*log(abs(tan(1/2*d*x + 1/2*c)))/a + (2*a^2 - 3*b^2)*(d*x + c)/b^3 - 4*(a^4 - 2*a^2*b^2 + b^4)*(pi*floor(1/2*(d*x + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x + 1/2*c) + b)/sqrt(a^2 - b^2)))/(sqrt(a^2 - b^2)*a*b^3) + 2*(b*tan(1/2*d*x + 1/2*c)^3 + 2*a*tan(1/2*d*x + 1/2*c)^2 - b*tan(1/2*d*x + 1/2*c) + 2*a)/((tan(1/2*d*x + 1/2*c)^2 + 1)^2*b^2))/d","A",0
337,-1,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
338,-1,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
339,0,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)} \cos\left(d x + c\right) \cot\left(d x + c\right)^{2}}{b \sin\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((f*x + e)*cos(d*x + c)*cot(d*x + c)^2/(b*sin(d*x + c) + a), x)","F",0
340,1,72,0,0.665588," ","integrate(cos(d*x+c)*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{b \log\left({\left| \sin\left(d x + c\right) \right|}\right)}{a^{2}} + \frac{{\left(a^{2} - b^{2}\right)} \log\left({\left| b \sin\left(d x + c\right) + a \right|}\right)}{a^{2} b} - \frac{b \sin\left(d x + c\right) - a}{a^{2} \sin\left(d x + c\right)}}{d}"," ",0,"-(b*log(abs(sin(d*x + c)))/a^2 + (a^2 - b^2)*log(abs(b*sin(d*x + c) + a))/(a^2*b) - (b*sin(d*x + c) - a)/(a^2*sin(d*x + c)))/d","A",0
341,-1,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
342,-1,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
343,-1,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
344,1,221,0,1.022305," ","integrate(cos(d*x+c)^2*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(d x + c\right)} a}{b^{2}} + \frac{6 \, b \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a^{2}} - \frac{3 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{a} - \frac{12 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(\pi \left \lfloor \frac{d x + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)}}{\sqrt{a^{2} - b^{2}} a^{2} b^{2}} - \frac{2 \, b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 3 \, a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 12 \, a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \, b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 3 \, a b}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)} a^{2} b}}{6 \, d}"," ",0,"-1/6*(6*(d*x + c)*a/b^2 + 6*b*log(abs(tan(1/2*d*x + 1/2*c)))/a^2 - 3*tan(1/2*d*x + 1/2*c)/a - 12*(a^4 - 2*a^2*b^2 + b^4)*(pi*floor(1/2*(d*x + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x + 1/2*c) + b)/sqrt(a^2 - b^2)))/(sqrt(a^2 - b^2)*a^2*b^2) - (2*b^2*tan(1/2*d*x + 1/2*c)^3 - 3*a*b*tan(1/2*d*x + 1/2*c)^2 - 12*a^2*tan(1/2*d*x + 1/2*c) + 2*b^2*tan(1/2*d*x + 1/2*c) - 3*a*b)/((tan(1/2*d*x + 1/2*c)^3 + tan(1/2*d*x + 1/2*c))*a^2*b))/d","B",0
345,-1,0,0,0.000000," ","integrate((f*x+e)^3*cos(d*x+c)^3*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
346,-1,0,0,0.000000," ","integrate((f*x+e)^2*cos(d*x+c)^3*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
347,-1,0,0,0.000000," ","integrate((f*x+e)*cos(d*x+c)^3*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
348,1,105,0,1.905677," ","integrate(cos(d*x+c)^3*cot(d*x+c)^2/(a+b*sin(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, b \log\left({\left| \sin\left(d x + c\right) \right|}\right)}{a^{2}} - \frac{b \sin\left(d x + c\right)^{2} - 2 \, a \sin\left(d x + c\right)}{b^{2}} - \frac{2 \, {\left(b \sin\left(d x + c\right) - a\right)}}{a^{2} \sin\left(d x + c\right)} - \frac{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \log\left({\left| b \sin\left(d x + c\right) + a \right|}\right)}{a^{2} b^{3}}}{2 \, d}"," ",0,"-1/2*(2*b*log(abs(sin(d*x + c)))/a^2 - (b*sin(d*x + c)^2 - 2*a*sin(d*x + c))/b^2 - 2*(b*sin(d*x + c) - a)/(a^2*sin(d*x + c)) - 2*(a^4 - 2*a^2*b^2 + b^4)*log(abs(b*sin(d*x + c) + a))/(a^2*b^3))/d","A",0
