1,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right) \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)*sin(b*x + a), x)","F",0
2,1,181,0,0.195697," ","integrate((d*x+c)^4*cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\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)} \cos\left(2 \, b x + 2 \, a\right)}{8 \, b^{5}} + \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)} \sin\left(2 \, b x + 2 \, a\right)}{4 \, b^{5}}"," ",0,"-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)*cos(2*b*x + 2*a)/b^5 + 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)*sin(2*b*x + 2*a)/b^5","A",0
3,1,121,0,0.220814," ","integrate((d*x+c)^3*cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\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)} \cos\left(2 \, b x + 2 \, a\right)}{8 \, b^{4}} + \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)} \sin\left(2 \, b x + 2 \, a\right)}{16 \, b^{4}}"," ",0,"-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)*cos(2*b*x + 2*a)/b^4 + 3/16*(2*b^2*d^3*x^2 + 4*b^2*c*d^2*x + 2*b^2*c^2*d - d^3)*sin(2*b*x + 2*a)/b^4","A",0
4,1,73,0,0.204751," ","integrate((d*x+c)^2*cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\frac{{\left(2 \, b^{2} d^{2} x^{2} + 4 \, b^{2} c d x + 2 \, b^{2} c^{2} - d^{2}\right)} \cos\left(2 \, b x + 2 \, a\right)}{8 \, b^{3}} + \frac{{\left(b d^{2} x + b c d\right)} \sin\left(2 \, b x + 2 \, a\right)}{4 \, b^{3}}"," ",0,"-1/8*(2*b^2*d^2*x^2 + 4*b^2*c*d*x + 2*b^2*c^2 - d^2)*cos(2*b*x + 2*a)/b^3 + 1/4*(b*d^2*x + b*c*d)*sin(2*b*x + 2*a)/b^3","A",0
5,1,38,0,1.720355," ","integrate((d*x+c)*cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\frac{{\left(b d x + b c\right)} \cos\left(2 \, b x + 2 \, a\right)}{4 \, b^{2}} + \frac{d \sin\left(2 \, b x + 2 \, a\right)}{8 \, b^{2}}"," ",0,"-1/4*(b*d*x + b*c)*cos(2*b*x + 2*a)/b^2 + 1/8*d*sin(2*b*x + 2*a)/b^2","A",0
6,1,569,0,0.846994," ","integrate(cos(b*x+a)*sin(b*x+a)/(d*x+c),x, algorithm=""giac"")","\frac{\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)^{2} + 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} + 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 \, \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 \, \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} - \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)^{2} - 2 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} + 4 \, \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 \, \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 \, \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) - \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)^{2} - 2 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 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 \, \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) + \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) - \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) + 2 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\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*(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)^2 + 2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 + 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*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^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)^2 - 2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2 + 4*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) - 4*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 8*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d) - 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)^2 - 2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 + 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*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) + imag_part(cos_integral(2*b*x + 2*b*c/d)) - imag_part(cos_integral(-2*b*x - 2*b*c/d)) + 2*sin_integral(2*(b*d*x + 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
7,1,2870,0,0.564364," ","integrate(cos(b*x+a)*sin(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\frac{b 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 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 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 \, b 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 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 \, b 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} - 2 \, b 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 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 c \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 c \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 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} - b 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} + 4 \, b 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) + 4 \, b 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 c \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 c \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 c \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 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} - b 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 c \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 c \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 c \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 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 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 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 \, b 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 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 c \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 c \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 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 \, b 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 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 c \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 c \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 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 \, b 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 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 c \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 c \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 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} - 2 \, b 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 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 c \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 c \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 d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} + b 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 c \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 c \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 c \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 d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - b d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + 2 \, b c \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 c \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 c \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 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) + 4 \, b 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 c \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 c \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 c \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 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} - b 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 c \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 c \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 c \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 \, d \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, d \tan\left(b x\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} + b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} - 2 \, b d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 2 \, b d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 4 \, b d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) - b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + 2 \, b 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 \, b 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 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 c \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 c \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 c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} - b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + b d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) + b d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) - 2 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 2 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 4 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) + 2 \, d \tan\left(b x\right)^{2} \tan\left(a\right) + 2 \, d \tan\left(b x\right) \tan\left(a\right)^{2} + 2 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 2 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) + 4 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right) - 2 \, d \tan\left(b x\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, d \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) + b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) - 2 \, d \tan\left(b x\right) - 2 \, d \tan\left(a\right)}{2 \, {\left(d^{3} x \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + c d^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{3} x \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + d^{3} x \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{3} x \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + c d^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + c d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + c d^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{3} x \tan\left(b x\right)^{2} + d^{3} x \tan\left(a\right)^{2} + d^{3} x \tan\left(\frac{b c}{d}\right)^{2} + c d^{2} \tan\left(b x\right)^{2} + c d^{2} \tan\left(a\right)^{2} + c d^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{3} x + c d^{2}\right)}}"," ",0,"1/2*(b*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*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*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*b*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*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2*tan(b*c/d) + 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - 2*b*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*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 - b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2 - b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2 + 4*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) + 4*b*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*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) + 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2*tan(b*c/d) - 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2*tan(b*c/d) - b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 + 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 - 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a) - b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2 - b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2 + 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) + 4*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) + 4*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)*tan(b*c/d) - 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) + 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) - 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d) - b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 + 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 + 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d)^2 + b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 + b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 - 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a) - b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 - b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 + 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) + 4*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) + 4*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) - 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) + 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) - 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d) - b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 - b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 + 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 + 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d)^2 + 2*d*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 2*d*tan(b*x)*tan(a)^2*tan(b*c/d)^2 + b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 + b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 - 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a) - b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 - b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 + 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d) + 4*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) + 4*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) - b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 - b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 + b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d)) + b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d)) - 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(a) + 2*d*tan(b*x)^2*tan(a) + 2*d*tan(b*x)*tan(a)^2 + 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d) - 2*d*tan(b*x)*tan(b*c/d)^2 - 2*d*tan(a)*tan(b*c/d)^2 + b*c*real_part(cos_integral(2*b*x + 2*b*c/d)) + b*c*real_part(cos_integral(-2*b*x - 2*b*c/d)) - 2*d*tan(b*x) - 2*d*tan(a))/(d^3*x*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + c*d^2*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + d^3*x*tan(b*x)^2*tan(a)^2 + d^3*x*tan(b*x)^2*tan(b*c/d)^2 + d^3*x*tan(a)^2*tan(b*c/d)^2 + c*d^2*tan(b*x)^2*tan(a)^2 + c*d^2*tan(b*x)^2*tan(b*c/d)^2 + c*d^2*tan(a)^2*tan(b*c/d)^2 + d^3*x*tan(b*x)^2 + d^3*x*tan(a)^2 + d^3*x*tan(b*c/d)^2 + c*d^2*tan(b*x)^2 + c*d^2*tan(a)^2 + c*d^2*tan(b*c/d)^2 + d^3*x + c*d^2)","C",0
8,1,5398,0,0.533880," ","integrate(cos(b*x+a)*sin(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","-\frac{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)^{2} + 2 \, 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} + 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 \, 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) \tan\left(\frac{b c}{d}\right)^{2} - 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) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, 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)^{2} - 2 \, 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)^{2} + 4 \, 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)^{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)^{2} - 2 \, 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} + 4 \, 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) - 4 \, 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) + 8 \, 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) + 4 \, 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) + 4 \, 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) - 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)^{2} - 2 \, 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)^{2} - 4 \, 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} - 4 \, 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)^{2} + 2 \, 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)^{2} + 2 \, 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} + 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 \, 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} + 2 \, 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} - 4 \, 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} - 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 \, 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) + 8 \, 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) - 8 \, 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) + 16 \, 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 \, 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)^{2} + 2 \, 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)^{2} - 4 \, 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)^{2} - 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) \tan\left(\frac{b c}{d}\right)^{2} - 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) \tan\left(\frac{b c}{d}\right)^{2} - 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) \tan\left(\frac{b c}{d}\right)^{2} - 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) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, 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)^{2} - 2 \, 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)^{2} + 4 \, 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)^{2} + b d^{2} x \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} - 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} + 2 \, 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} + 4 \, 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) + 4 \, 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) - 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)^{2} - 2 \, 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)^{2} - 2 \, 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} - 4 \, 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) - 4 \, 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) + 4 \, 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) - 4 \, 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) + 8 \, 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) + 4 \, 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) - 4 \, 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) + 8 \, 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) + 4 \, 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) + 4 \, 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) - 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)^{2} - 2 \, 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)^{2} - 2 \, 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)^{2} - 4 \, 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} - 4 \, 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)^{2} + 2 \, 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 c d \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 \Im \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 \Im \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 \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} + 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} 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 \, 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} + 2 \, 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} - 4 \, 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)^{2} - 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} 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) + 8 \, 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) - 8 \, 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) + 16 \, 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 \, 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 \, 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)^{2} + 2 \, 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)^{2} - 4 \, 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)^{2} - b d^{2} x \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, 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)^{2} - 2 \, 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)^{2} - 4 \, b d^{2} x \tan\left(b x\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - b d^{2} x \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) - b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) + 2 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) + 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} - 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} + 2 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} + 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 4 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 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)^{2} - 2 \, 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} - 4 \, 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) - 4 \, 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) + 4 \, 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) - 4 \, 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) + 8 \, 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) - 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)^{2} - 2 \, 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)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b c d \tan\left(b x\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - d^{2} \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - b c d \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - d^{2} \tan\left(b x\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) - 2 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) + 4 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) - b d^{2} x \tan\left(b x\right)^{2} + 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 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 4 \, b d^{2} x \tan\left(b x\right) \tan\left(a\right) - b d^{2} x \tan\left(a\right)^{2} - 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 \, 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) + b d^{2} x \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) - b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) + 2 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) - b c d \tan\left(b x\right)^{2} - 4 \, b c d \tan\left(b x\right) \tan\left(a\right) - d^{2} \tan\left(b x\right)^{2} \tan\left(a\right) - b c d \tan\left(a\right)^{2} - d^{2} \tan\left(b x\right) \tan\left(a\right)^{2} + b c d \tan\left(\frac{b c}{d}\right)^{2} + d^{2} \tan\left(b x\right) \tan\left(\frac{b c}{d}\right)^{2} + d^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + b d^{2} x + b c d + d^{2} \tan\left(b x\right) + d^{2} \tan\left(a\right)}{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*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)^2 + 2*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 + 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*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)^2 - 2*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)^2 + 2*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)^2 - 2*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)^2 + 4*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)^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)^2 - 2*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2 + 4*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) - 4*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) + 8*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) + 4*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) + 4*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) - 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)^2 - 2*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d)^2 - 4*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 - 4*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)^2 + 2*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)^2 + 2*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 + 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*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2 + 2*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a)^2 - 4*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2 - 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*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) + 8*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) - 8*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) + 16*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*b^2*c*d*x*imag_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*imag_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*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d)^2 - 2*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*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)^2 - 2*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)^2 + 2*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 - 2*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 4*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 + b*d^2*x*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 - b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 + 2*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2 + 4*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 4*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 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)^2 - 2*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)^2 - 2*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)^2 - 4*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 4*b^2*c*d*x*real_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*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) - 4*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 8*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d) + 4*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) - 4*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) + 8*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(a)*tan(b*c/d) + 4*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) + 4*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) - 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)^2 - 2*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)^2 - 2*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d)^2 - 4*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 4*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)^2 + 2*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 + b*c*d*tan(b*x)^2*tan(a)^2*tan(b*c/d)^2 + 2*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 - 2*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 + 4*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2 + 2*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*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 + 2*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 - 4*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)^2 - 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*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) + 8*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) - 8*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 16*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*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*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 + 2*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 - 4*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 - b*d^2*x*tan(b*x)^2*tan(b*c/d)^2 - 2*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 4*b*d^2*x*tan(b*x)*tan(a)*tan(b*c/d)^2 - b*d^2*x*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)) - b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d)) + 2*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d) + b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 - b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 + 2*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2 + 4*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 4*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 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)^2 - 2*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 - 4*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 4*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + 4*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) - 4*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 8*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d) - 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)^2 - 2*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 - b*c*d*tan(b*x)^2*tan(b*c/d)^2 - 4*b*c*d*tan(b*x)*tan(a)*tan(b*c/d)^2 - d^2*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - b*c*d*tan(a)^2*tan(b*c/d)^2 - d^2*tan(b*x)*tan(a)^2*tan(b*c/d)^2 + 2*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d)) - 2*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d)) + 4*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d) - b*d^2*x*tan(b*x)^2 + 2*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) - 4*b*d^2*x*tan(b*x)*tan(a) - b*d^2*x*tan(a)^2 - 2*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) + b*d^2*x*tan(b*c/d)^2 + b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d)) - b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d)) + 2*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d) - b*c*d*tan(b*x)^2 - 4*b*c*d*tan(b*x)*tan(a) - d^2*tan(b*x)^2*tan(a) - b*c*d*tan(a)^2 - d^2*tan(b*x)*tan(a)^2 + b*c*d*tan(b*c/d)^2 + d^2*tan(b*x)*tan(b*c/d)^2 + d^2*tan(a)*tan(b*c/d)^2 + b*d^2*x + b*c*d + d^2*tan(b*x) + d^2*tan(a))/(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
9,1,7592,0,0.611682," ","integrate(cos(b*x+a)*sin(b*x+a)/(d*x+c)^4,x, algorithm=""giac"")","-\frac{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} + 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} - 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)^{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(b x\right)^{2} \tan\left(a\right)^{2} \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)^{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(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\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)^{2} + 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)^{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)^{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)^{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} - 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} + 8 \, 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) + 8 \, 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) - 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)^{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)^{2} \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)^{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)^{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} + 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)^{2} - 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)^{2} + 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} + 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} + 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} + 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)^{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)^{2} \tan\left(\frac{b c}{d}\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) + 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) - 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) - 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} - 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} + 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(\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(\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(\frac{b c}{d}\right) + 24 \, 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) + 24 \, 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) - 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)^{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)^{2} \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)^{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(b x\right)^{2} \tan\left(a\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(b x\right)^{2} \tan\left(a\right)^{2} \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)^{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)^{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)^{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(a\right) \tan\left(\frac{b c}{d}\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(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 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)^{2} + 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)^{2} - 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)^{2} + 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)^{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)^{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)^{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(b x\right)^{2} \tan\left(a\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(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} + 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} - 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) + 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) - 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) - 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} - 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} - 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} - 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} + 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(\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(\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(\frac{b c}{d}\right) + 8 \, 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) + 8 \, 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) + 24 \, 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) + 24 \, 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) - 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)^{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)^{2} \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)^{2} \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)^{2} \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)^{2} \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)^{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(\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(\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(\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(\frac{b c}{d}\right)^{2} + 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)^{2} - 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)^{2} + 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)^{2} + 4 \, b^{2} d^{3} x^{2} \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 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)^{2} - 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)^{2} + 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)^{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)^{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)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b^{2} d^{3} x^{2} \tan\left(b x\right) \tan\left(a\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} + 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} - 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) + 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) - 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) - 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) + 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) - 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) - 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} - 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} - 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} - 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} + 4 \, 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) - 4 \, 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) + 8 \, 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) + 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(\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(\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(\frac{b c}{d}\right) + 24 \, 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) + 24 \, 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) + 8 \, 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) + 8 \, 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) - 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)^{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)^{2} \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)^{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(\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(\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(\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(\frac{b c}{d}\right)^{2} + 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)^{2} - 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)^{2} + 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} + 8 \, b^{2} c d^{2} x \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(a\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)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b^{2} c d^{2} x \tan\left(b x\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b d^{3} x \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) + 2 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \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} + 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} - 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) + 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) - 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) + 4 \, b^{2} d^{3} x^{2} \tan\left(b x\right)^{2} \tan\left(a\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) + 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) - 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) - 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} - 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} + 4 \, b^{2} d^{3} x^{2} \tan\left(b x\right) \tan\left(a\right)^{2} + 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(\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(\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(\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(\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(\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(\frac{b c}{d}\right) + 24 \, 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) + 24 \, 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) - 4 \, 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) + 4 \, 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) - 8 \, 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) - 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)^{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)^{2} - 4 \, b^{2} d^{3} x^{2} \tan\left(b x\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b^{2} d^{3} x^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 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)^{2} - 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)^{2} + 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)^{2} + 4 \, b^{2} c^{2} d \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b^{2} c^{2} d \tan\left(b x\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + b c d^{2} \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} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) + 6 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \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} + 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} - 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) + 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) - 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) + 8 \, b^{2} c d^{2} x \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(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(a\right)^{2} + 8 \, b^{2} c d^{2} x \tan\left(b x\right) \tan\left(a\right)^{2} + b d^{3} x \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 12 \, 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) - 12 \, 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) + 24 \, 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) + 8 \, 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) + 8 \, 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 \, 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} - 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} - 8 \, b^{2} c d^{2} x \tan\left(b x\right) \tan\left(\frac{b c}{d}\right)^{2} - b d^{3} x \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 8 \, b^{2} c d^{2} x \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b d^{3} x \tan\left(b x\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - b d^{3} x \tan\left(a\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) + 6 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) - 4 \, b^{2} d^{3} x^{2} \tan\left(b x\right) - 4 \, b^{2} d^{3} x^{2} \tan\left(a\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) + 4 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 8 \, b^{3} c^{3} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) + 4 \, b^{2} c^{2} d \tan\left(b x\right)^{2} \tan\left(a\right) + 4 \, b^{2} c^{2} d \tan\left(b x\right) \tan\left(a\right)^{2} + b c d^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 4 \, 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) - 4 \, 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) + 8 \, 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) - 4 \, b^{2} c^{2} d \tan\left(b x\right) \tan\left(\frac{b c}{d}\right)^{2} - b c d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b^{2} c^{2} d \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b c d^{2} \tan\left(b x\right) \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, d^{3} \tan\left(b x\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - b c d^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, d^{3} \tan\left(b x\right) \tan\left(a\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) + 2 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) - 8 \, b^{2} c d^{2} x \tan\left(b x\right) - b d^{3} x \tan\left(b x\right)^{2} - 8 \, b^{2} c d^{2} x \tan\left(a\right) - 4 \, b d^{3} x \tan\left(b x\right) \tan\left(a\right) - b d^{3} x \tan\left(a\right)^{2} + b d^{3} x \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b^{2} c^{2} d \tan\left(b x\right) - b c d^{2} \tan\left(b x\right)^{2} - 4 \, b^{2} c^{2} d \tan\left(a\right) - 4 \, b c d^{2} \tan\left(b x\right) \tan\left(a\right) - 2 \, d^{3} \tan\left(b x\right)^{2} \tan\left(a\right) - b c d^{2} \tan\left(a\right)^{2} - 2 \, d^{3} \tan\left(b x\right) \tan\left(a\right)^{2} + b c d^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, d^{3} \tan\left(b x\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, d^{3} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + b d^{3} x + b c d^{2} + 2 \, d^{3} \tan\left(b x\right) + 2 \, d^{3} \tan\left(a\right)}{6 \, {\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,"-1/6*(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 + 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 - 4*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) + 4*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) - 8*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) + 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)^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)^2 + 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)^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)^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)^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 - 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 + 8*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) + 8*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) - 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)^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)^2*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)^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)^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 + 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)^2 - 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)^2 + 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 + 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 + 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 + 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)^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)^2*tan(b*c/d)^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) + 4*b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 8*b^3*d^3*x^3*sin_integral(2*(b*d*x + 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)^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)^2 + 4*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) - 4*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) + 8*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) + 24*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) + 24*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) - 4*b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^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)^2*tan(b*c/d) - 8*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*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)^2*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)^2*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)^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)^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)^2 + 4*b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 4*b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 + 8*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d)^2 + 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)^2 - 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)^2 + 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)^2 + 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 + 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 + 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 + 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 + 2*b^3*d^3*x^3*real_part(cos_integral(2*b*x + 2*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(b*x)^2 - 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) + 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) - 24*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + 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(a)^2 - 2*b^3*d^3*x^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^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)^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)^2 + 12*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) - 12*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) + 24*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) + 8*b^3*d^3*x^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) + 8*b^3*d^3*x^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 24*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) + 24*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) - 12*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) + 12*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) - 24*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*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)^2*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)^2*tan(b*c/d) - 8*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*real_part(cos_integral(2*b*x + 2*b*c/d))*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*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(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(b*c/d)^2 + 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)^2 - 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)^2 + 24*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d)^2 + 4*b^2*d^3*x^2*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 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)^2 - 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)^2 + 8*b^3*c^3*sin_integral(2*(b*d*x + 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(a)^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)^2*tan(b*c/d)^2 + 4*b^2*d^3*x^2*tan(b*x)*tan(a)^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 + 6*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 - 4*b^3*d^3*x^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 4*b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 8*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*tan(a) - 12*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 12*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 24*b^3*c^2*d*x*sin_integral(2*(b*d*x + 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(a)^2 - 6*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 - 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a)^2 - 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*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*c/d) - 4*b^3*d^3*x^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + 8*b^3*d^3*x^3*sin_integral(2*(b*d*x + b*c)/d)*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(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(b*c/d) + 24*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) + 24*b^3*c*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) + 24*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 8*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) + 8*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) - 12*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^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)^2*tan(b*c/d) - 24*b^3*c^2*d*x*sin_integral(2*(b*d*x + 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(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*c/d)^2 - 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 - 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 + 12*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 12*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 + 24*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d)^2 + 8*b^2*c*d^2*x*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(a)^2*tan(b*c/d)^2 + 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 8*b^2*c*d^2*x*tan(b*x)*tan(a)^2*tan(b*c/d)^2 + b*d^3*x*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)) + 2*b^3*d^3*x^3*real_part(cos_integral(-2*b*x - 2*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 + 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 - 12*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 12*b^3*c*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 24*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(a) + 4*b^2*d^3*x^2*tan(b*x)^2*tan(a) - 4*b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(a) + 4*b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(a) - 8*b^3*c^3*sin_integral(2*(b*d*x + 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(a)^2 - 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 + 4*b^2*d^3*x^2*tan(b*x)*tan(a)^2 + 12*b^3*c*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*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*c/d) + 24*b^3*c*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*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(b*c/d) - 4*b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 8*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) + 24*b^3*c^2*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) + 24*b^3*c^2*d*x*real_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)^2*tan(b*c/d) + 4*b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) - 8*b^3*c^3*sin_integral(2*(b*d*x + 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*c/d)^2 - 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 - 4*b^2*d^3*x^2*tan(b*x)*tan(b*c/d)^2 - 4*b^2*d^3*x^2*tan(a)*tan(b*c/d)^2 + 4*b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 4*b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 + 8*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d)^2 + 4*b^2*c^2*d*tan(b*x)^2*tan(a)*tan(b*c/d)^2 + 4*b^2*c^2*d*tan(b*x)*tan(a)^2*tan(b*c/d)^2 + b*c*d^2*tan(b*x)^2*tan(a)^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)) + 6*b^3*c*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d)) + 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 + 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 - 12*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 12*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 24*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(a) + 8*b^2*c*d^2*x*tan(b*x)^2*tan(a) - 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 - 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 + 8*b^2*c*d^2*x*tan(b*x)*tan(a)^2 + b*d^3*x*tan(b*x)^2*tan(a)^2 + 12*b^3*c^2*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 12*b^3*c^2*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + 24*b^3*c^2*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d) + 8*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) + 8*b^3*c^3*real_part(cos_integral(-2*b*x - 2*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(b*c/d)^2 - 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 - 8*b^2*c*d^2*x*tan(b*x)*tan(b*c/d)^2 - b*d^3*x*tan(b*x)^2*tan(b*c/d)^2 - 8*b^2*c*d^2*x*tan(a)*tan(b*c/d)^2 - 4*b*d^3*x*tan(b*x)*tan(a)*tan(b*c/d)^2 - b*d^3*x*tan(a)^2*tan(b*c/d)^2 + 6*b^3*c^2*d*x*real_part(cos_integral(2*b*x + 2*b*c/d)) + 6*b^3*c^2*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d)) - 4*b^2*d^3*x^2*tan(b*x) - 4*b^2*d^3*x^2*tan(a) - 4*b^3*c^3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 4*b^3*c^3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 8*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(a) + 4*b^2*c^2*d*tan(b*x)^2*tan(a) + 4*b^2*c^2*d*tan(b*x)*tan(a)^2 + b*c*d^2*tan(b*x)^2*tan(a)^2 + 4*b^3*c^3*imag_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(b*c/d) + 8*b^3*c^3*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d) - 4*b^2*c^2*d*tan(b*x)*tan(b*c/d)^2 - b*c*d^2*tan(b*x)^2*tan(b*c/d)^2 - 4*b^2*c^2*d*tan(a)*tan(b*c/d)^2 - 4*b*c*d^2*tan(b*x)*tan(a)*tan(b*c/d)^2 - 2*d^3*tan(b*x)^2*tan(a)*tan(b*c/d)^2 - b*c*d^2*tan(a)^2*tan(b*c/d)^2 - 2*d^3*tan(b*x)*tan(a)^2*tan(b*c/d)^2 + 2*b^3*c^3*real_part(cos_integral(2*b*x + 2*b*c/d)) + 2*b^3*c^3*real_part(cos_integral(-2*b*x - 2*b*c/d)) - 8*b^2*c*d^2*x*tan(b*x) - b*d^3*x*tan(b*x)^2 - 8*b^2*c*d^2*x*tan(a) - 4*b*d^3*x*tan(b*x)*tan(a) - b*d^3*x*tan(a)^2 + b*d^3*x*tan(b*c/d)^2 - 4*b^2*c^2*d*tan(b*x) - b*c*d^2*tan(b*x)^2 - 4*b^2*c^2*d*tan(a) - 4*b*c*d^2*tan(b*x)*tan(a) - 2*d^3*tan(b*x)^2*tan(a) - b*c*d^2*tan(a)^2 - 2*d^3*tan(b*x)*tan(a)^2 + b*c*d^2*tan(b*c/d)^2 + 2*d^3*tan(b*x)*tan(b*c/d)^2 + 2*d^3*tan(a)*tan(b*c/d)^2 + b*d^3*x + b*c*d^2 + 2*d^3*tan(b*x) + 2*d^3*tan(a))/(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
10,1,6,0,0.173800," ","integrate(cos(x)*sin(x)/x,x, algorithm=""giac"")","\frac{1}{2} \, \operatorname{Si}\left(2 \, x\right)"," ",0,"1/2*sin_integral(2*x)","A",0
11,1,19,0,0.144881," ","integrate(cos(x)*sin(x)/x^2,x, algorithm=""giac"")","\frac{2 \, x \operatorname{Ci}\left(2 \, x\right) - \sin\left(2 \, x\right)}{2 \, x}"," ",0,"1/2*(2*x*cos_integral(2*x) - sin(2*x))/x","A",0
12,1,26,0,1.601212," ","integrate(cos(x)*sin(x)/x^3,x, algorithm=""giac"")","-\frac{4 \, x^{2} \operatorname{Si}\left(2 \, x\right) + 2 \, x \cos\left(2 \, x\right) + \sin\left(2 \, x\right)}{4 \, x^{2}}"," ",0,"-1/4*(4*x^2*sin_integral(2*x) + 2*x*cos(2*x) + sin(2*x))/x^2","A",0
13,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right) \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)*sin(b*x + a)^2, x)","F",0
14,1,350,0,0.229680," ","integrate((d*x+c)^4*cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","-\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)} \cos\left(3 \, b x + 3 \, a\right)}{27 \, b^{5}} + \frac{{\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)} \cos\left(b x + a\right)}{b^{5}} - \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)} \sin\left(3 \, b x + 3 \, a\right)}{324 \, b^{5}} + \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)} \sin\left(b x + a\right)}{4 \, b^{5}}"," ",0,"-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)*cos(3*b*x + 3*a)/b^5 + (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)*cos(b*x + a)/b^5 - 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)*sin(3*b*x + 3*a)/b^5 + 1/4*(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)*sin(b*x + a)/b^5","A",0
15,1,231,0,0.224464," ","integrate((d*x+c)^3*cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","-\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)} \cos\left(3 \, b x + 3 \, a\right)}{108 \, 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)} \cos\left(b x + a\right)}{4 \, b^{4}} - \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)} \sin\left(3 \, b x + 3 \, a\right)}{36 \, b^{4}} + \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)} \sin\left(b x + a\right)}{4 \, b^{4}}"," ",0,"-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)*cos(3*b*x + 3*a)/b^4 + 3/4*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cos(b*x + a)/b^4 - 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)*sin(3*b*x + 3*a)/b^4 + 1/4*(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)*sin(b*x + a)/b^4","A",0
16,1,137,0,0.211965," ","integrate((d*x+c)^2*cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(b d^{2} x + b c d\right)} \cos\left(3 \, b x + 3 \, a\right)}{18 \, b^{3}} + \frac{{\left(b d^{2} x + b c d\right)} \cos\left(b x + a\right)}{2 \, b^{3}} - \frac{{\left(9 \, b^{2} d^{2} x^{2} + 18 \, b^{2} c d x + 9 \, b^{2} c^{2} - 2 \, d^{2}\right)} \sin\left(3 \, b x + 3 \, a\right)}{108 \, b^{3}} + \frac{{\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}\right)} \sin\left(b x + a\right)}{4 \, b^{3}}"," ",0,"-1/18*(b*d^2*x + b*c*d)*cos(3*b*x + 3*a)/b^3 + 1/2*(b*d^2*x + b*c*d)*cos(b*x + a)/b^3 - 1/108*(9*b^2*d^2*x^2 + 18*b^2*c*d*x + 9*b^2*c^2 - 2*d^2)*sin(3*b*x + 3*a)/b^3 + 1/4*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)*sin(b*x + a)/b^3","A",0
17,1,69,0,0.188160," ","integrate((d*x+c)*cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{d \cos\left(3 \, b x + 3 \, a\right)}{36 \, b^{2}} + \frac{d \cos\left(b x + a\right)}{4 \, b^{2}} - \frac{{\left(b d x + b c\right)} \sin\left(3 \, b x + 3 \, a\right)}{12 \, b^{2}} + \frac{{\left(b d x + b c\right)} \sin\left(b x + a\right)}{4 \, b^{2}}"," ",0,"-1/36*d*cos(3*b*x + 3*a)/b^2 + 1/4*d*cos(b*x + a)/b^2 - 1/12*(b*d*x + b*c)*sin(3*b*x + 3*a)/b^2 + 1/4*(b*d*x + b*c)*sin(b*x + a)/b^2","A",0
18,1,6059,0,0.540133," ","integrate(cos(b*x+a)*sin(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","-\frac{\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} \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{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(-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)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \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(-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) + 4 \, \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 \, \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) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 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) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, \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) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \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)^{2} + 2 \, \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)^{2} - 4 \, \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)^{2} + 2 \, \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)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \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)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, \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)^{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)^{2} + \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} + \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} + \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} - 4 \, \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) - 4 \, \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) - \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{b c}{2 \, d}\right)^{2} - \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)^{2} - \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)^{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{b c}{2 \, d}\right)^{2} + 4 \, \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) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, \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) \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{3 \, b c}{2 \, d}\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{3}{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(-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} + \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} \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{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(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} - \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)^{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} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 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 \, \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) - 4 \, \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 \, \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} - 2 \, \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} + 4 \, \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} + 2 \, \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)^{2} - 2 \, \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)^{2} + 4 \, \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)^{2} + 2 \, \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(-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) + 4 \, \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 \, \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(-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) - 4 \, \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(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(-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) + 4 \, \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 \, \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)^{2} + 2 \, \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)^{2} - 4 \, \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)^{2} - 2 \, \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{b c}{2 \, d}\right)^{2} + 2 \, \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{b c}{2 \, d}\right)^{2} - 4 \, \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{b c}{2 \, d}\right)^{2} - 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) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 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) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 4 \, \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) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 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) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 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) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, \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) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \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)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \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)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, \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)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \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)^{2} + 2 \, \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)^{2} - 4 \, \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)^{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} + \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(-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)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, \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) + 4 \, \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) + \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(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} - \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} + \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(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} + \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} - \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} - 4 \, \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) - 4 \, \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) - 4 \, \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) - 4 \, \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) - \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{b c}{2 \, d}\right)^{2} + \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)^{2} + \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)^{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{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{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)^{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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, \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) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, \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) \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 \, b c}{2 \, d}\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{3 \, b c}{2 \, d}\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{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 \, b c}{2 \, d}\right)^{2} \tan\left(\frac{b c}{2 \, d}\right)^{2} + 2 \, \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(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 4 \, \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 \, \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} + 2 \, \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} - 4 \, \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} - 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 \, \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) - 4 \, \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 \, \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 \, \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) + 4 \, \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 \, \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)^{2} - 2 \, \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)^{2} + 4 \, \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)^{2} + 2 \, \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} - 2 \, \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} + 4 \, \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} - 2 \, \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(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{b c}{2 \, d}\right) - 4 \, \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(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) + 4 \, \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 \, \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(-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) - 4 \, \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 \, \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{b c}{2 \, d}\right)^{2} + 2 \, \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{b c}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 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)^{2} + 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)^{2} - 4 \, \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} + 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) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 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) \tan\left(\frac{b c}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3 \, b c}{2 \, d}\right) \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} - \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - \frac{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)^{2} + \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, 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{1}{2} \, a\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} + 4 \, \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) + 4 \, \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) - \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(b x + \frac{b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - \frac{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)^{2} - 4 \, \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) - 4 \, \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) + \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, 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)^{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(-3 \, b x - \frac{3 \, b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, 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) - 4 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3}{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 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 4 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\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{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) + 4 \, \operatorname{Si}\left(\frac{3 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3 \, 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 \, \Im \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) \tan\left(\frac{b c}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{b c}{2 \, d}\right) + \Re \left( \operatorname{Ci}\left(3 \, b x + \frac{3 \, b c}{d}\right) \right) - \Re \left( \operatorname{Ci}\left(b x + \frac{b c}{d}\right) \right) - \Re \left( \operatorname{Ci}\left(-b x - \frac{b c}{d}\right) \right) + \Re \left( \operatorname{Ci}\left(-3 \, b x - \frac{3 \, b c}{d}\right) \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*(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*tan(1/2*b*c/d)^2 - 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(-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)^2*tan(1/2*b*c/d)^2 + 2*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(-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) + 4*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*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)*tan(1/2*b*c/d)^2 + 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)*tan(1/2*b*c/d)^2 - 4*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)*tan(1/2*b*c/d)^2 - 2*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)^2 + 2*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)^2 - 4*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)^2 + 2*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)^2*tan(1/2*b*c/d)^2 - 2*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)^2*tan(1/2*b*c/d)^2 + 4*sin_integral(3*(b*d*x + 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 + 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(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + 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 + 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 - 4*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) - 4*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) - real_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 - 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)^2 - 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)^2 - real_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 + 4*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)*tan(1/2*b*c/d)^2 + 4*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)*tan(1/2*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*tan(1/2*b*c/d)^2 + 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)^2 + 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)^2 + real_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 - real_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 - 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)^2 - 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)^2 - real_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*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*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) - 4*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*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 - 2*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 + 4*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)*tan(3/2*b*c/d)^2 + 2*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)^2 - 2*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)^2 + 4*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + 2*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(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2*tan(1/2*b*c/d) + 4*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*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(-b*x - b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) - 4*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(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(-b*x - b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) + 4*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*imag_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*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(1/2*b*c/d)^2 - 4*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*tan(1/2*a)*tan(1/2*b*c/d)^2 - 2*imag_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*imag_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 - 4*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)*tan(1/2*a)^2*tan(1/2*b*c/d)^2 - 2*imag_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*imag_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 - 4*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)^2*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 + 2*imag_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*imag_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 + 4*sin_integral(3*(b*d*x + b*c)/d)*tan(1/2*a)^2*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 + 2*imag_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*imag_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 + 4*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 - 2*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)^2 + 2*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)^2 - 4*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)^2 - real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2 + real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2 + 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)^2*tan(1/2*a)^2 + 4*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) + 4*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) + 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(b*x + b*c/d))*tan(3/2*a)^2*tan(3/2*b*c/d)^2 - real_part(cos_integral(-b*x - 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(b*x + b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + real_part(cos_integral(-b*x - 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 - 4*real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(1/2*b*c/d) - 4*real_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(1/2*b*c/d) - 4*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) - 4*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) - real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2*tan(1/2*b*c/d)^2 + real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*b*c/d)^2 + real_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^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*b*c/d)^2 + real_part(cos_integral(3*b*x + 3*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)^2*tan(1/2*b*c/d)^2 + real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d)^2 + 4*real_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*real_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 - real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 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(-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*b*c/d)^2*tan(1/2*b*c/d)^2 + 2*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a) - 2*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a) + 4*sin_integral((b*d*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)*tan(1/2*a)^2 + 2*imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(1/2*a)^2 - 4*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)*tan(1/2*a)^2 - 2*imag_part(cos_integral(3*b*x + 3*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) - 4*sin_integral(3*(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*imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(1/2*a)^2*tan(3/2*b*c/d) + 4*sin_integral(3*(b*d*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(3/2*a)*tan(3/2*b*c/d)^2 - 2*imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(3/2*b*c/d)^2 + 4*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)*tan(3/2*b*c/d)^2 + 2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(3/2*b*c/d)^2 - 2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(3/2*b*c/d)^2 + 4*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)*tan(3/2*b*c/d)^2 - 2*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(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*b*c/d) - 4*sin_integral((b*d*x + b*c)/d)*tan(3/2*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*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)^2*tan(1/2*b*c/d) + 4*sin_integral((b*d*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(3/2*b*c/d)^2*tan(1/2*b*c/d) + 2*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*b*c/d)^2*tan(1/2*b*c/d) - 4*sin_integral((b*d*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*a)*tan(1/2*b*c/d)^2 + 2*imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(1/2*b*c/d)^2 - 4*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a)*tan(1/2*b*c/d)^2 - 2*imag_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 + 2*imag_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d)^2 - 4*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)*tan(1/2*b*c/d)^2 + 2*imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 - 2*imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 + 4*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*b*c/d)*tan(1/2*b*c/d)^2 - real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)^2 - real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2 - real_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^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(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*a)^2 + real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(1/2*a)^2 + 4*real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a)*tan(3/2*b*c/d) + 4*real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a)*tan(3/2*b*c/d) - real_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*b*c/d)^2 - real_part(cos_integral(b*x + b*c/d))*tan(3/2*b*c/d)^2 - real_part(cos_integral(-b*x - 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)^2 - 4*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) - 4*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(1/2*b*c/d) + real_part(cos_integral(3*b*x + 3*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)^2 + real_part(cos_integral(-b*x - b*c/d))*tan(1/2*b*c/d)^2 + real_part(cos_integral(-3*b*x - 3*b*c/d))*tan(1/2*b*c/d)^2 - 2*imag_part(cos_integral(3*b*x + 3*b*c/d))*tan(3/2*a) + 2*imag_part(cos_integral(-3*b*x - 3*b*c/d))*tan(3/2*a) - 4*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*a) + 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) + 4*sin_integral((b*d*x + b*c)/d)*tan(1/2*a) + 2*imag_part(cos_integral(3*b*x + 3*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) + 4*sin_integral(3*(b*d*x + b*c)/d)*tan(3/2*b*c/d) - 2*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) - 4*sin_integral((b*d*x + b*c)/d)*tan(1/2*b*c/d) + real_part(cos_integral(3*b*x + 3*b*c/d)) - real_part(cos_integral(b*x + b*c/d)) - real_part(cos_integral(-b*x - b*c/d)) + real_part(cos_integral(-3*b*x - 3*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
19,-1,0,0,0.000000," ","integrate(cos(b*x+a)*sin(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,-1,0,0,0.000000," ","integrate(cos(b*x+a)*sin(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,-1,0,0,0.000000," ","integrate(cos(b*x+a)*sin(b*x+a)^2/(d*x+c)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right) \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)*sin(b*x + a)^3, x)","F",0
23,1,361,0,2.892663," ","integrate((d*x+c)^4*cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(32 \, b^{4} d^{4} x^{4} + 128 \, b^{4} c d^{3} x^{3} + 192 \, b^{4} c^{2} d^{2} x^{2} + 128 \, b^{4} c^{3} d x + 32 \, b^{4} c^{4} - 24 \, b^{2} d^{4} x^{2} - 48 \, b^{2} c d^{3} x - 24 \, b^{2} c^{2} d^{2} + 3 \, d^{4}\right)} \cos\left(4 \, b x + 4 \, a\right)}{1024 \, 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)} \cos\left(2 \, b x + 2 \, a\right)}{16 \, b^{5}} - \frac{{\left(8 \, b^{3} d^{4} x^{3} + 24 \, b^{3} c d^{3} x^{2} + 24 \, b^{3} c^{2} d^{2} x + 8 \, b^{3} c^{3} d - 3 \, b d^{4} x - 3 \, b c d^{3}\right)} \sin\left(4 \, b x + 4 \, a\right)}{256 \, b^{5}} + \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)} \sin\left(2 \, b x + 2 \, a\right)}{8 \, b^{5}}"," ",0,"1/1024*(32*b^4*d^4*x^4 + 128*b^4*c*d^3*x^3 + 192*b^4*c^2*d^2*x^2 + 128*b^4*c^3*d*x + 32*b^4*c^4 - 24*b^2*d^4*x^2 - 48*b^2*c*d^3*x - 24*b^2*c^2*d^2 + 3*d^4)*cos(4*b*x + 4*a)/b^5 - 1/16*(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)*cos(2*b*x + 2*a)/b^5 - 1/256*(8*b^3*d^4*x^3 + 24*b^3*c*d^3*x^2 + 24*b^3*c^2*d^2*x + 8*b^3*c^3*d - 3*b*d^4*x - 3*b*c*d^3)*sin(4*b*x + 4*a)/b^5 + 1/8*(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)*sin(2*b*x + 2*a)/b^5","A",0
24,1,241,0,3.966310," ","integrate((d*x+c)^3*cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(8 \, b^{3} d^{3} x^{3} + 24 \, b^{3} c d^{2} x^{2} + 24 \, b^{3} c^{2} d x + 8 \, b^{3} c^{3} - 3 \, b d^{3} x - 3 \, b c d^{2}\right)} \cos\left(4 \, b x + 4 \, a\right)}{256 \, 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)} \cos\left(2 \, b x + 2 \, a\right)}{16 \, b^{4}} - \frac{3 \, {\left(8 \, b^{2} d^{3} x^{2} + 16 \, b^{2} c d^{2} x + 8 \, b^{2} c^{2} d - d^{3}\right)} \sin\left(4 \, b x + 4 \, a\right)}{1024 \, b^{4}} + \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)} \sin\left(2 \, b x + 2 \, a\right)}{32 \, b^{4}}"," ",0,"1/256*(8*b^3*d^3*x^3 + 24*b^3*c*d^2*x^2 + 24*b^3*c^2*d*x + 8*b^3*c^3 - 3*b*d^3*x - 3*b*c*d^2)*cos(4*b*x + 4*a)/b^4 - 1/16*(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)*cos(2*b*x + 2*a)/b^4 - 3/1024*(8*b^2*d^3*x^2 + 16*b^2*c*d^2*x + 8*b^2*c^2*d - d^3)*sin(4*b*x + 4*a)/b^4 + 3/32*(2*b^2*d^3*x^2 + 4*b^2*c*d^2*x + 2*b^2*c^2*d - d^3)*sin(2*b*x + 2*a)/b^4","A",0
25,1,145,0,0.199143," ","integrate((d*x+c)^2*cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(8 \, b^{2} d^{2} x^{2} + 16 \, b^{2} c d x + 8 \, b^{2} c^{2} - d^{2}\right)} \cos\left(4 \, b x + 4 \, a\right)}{256 \, 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)} \cos\left(2 \, b x + 2 \, a\right)}{16 \, b^{3}} - \frac{{\left(b d^{2} x + b c d\right)} \sin\left(4 \, b x + 4 \, a\right)}{64 \, b^{3}} + \frac{{\left(b d^{2} x + b c d\right)} \sin\left(2 \, b x + 2 \, a\right)}{8 \, b^{3}}"," ",0,"1/256*(8*b^2*d^2*x^2 + 16*b^2*c*d*x + 8*b^2*c^2 - d^2)*cos(4*b*x + 4*a)/b^3 - 1/16*(2*b^2*d^2*x^2 + 4*b^2*c*d*x + 2*b^2*c^2 - d^2)*cos(2*b*x + 2*a)/b^3 - 1/64*(b*d^2*x + b*c*d)*sin(4*b*x + 4*a)/b^3 + 1/8*(b*d^2*x + b*c*d)*sin(2*b*x + 2*a)/b^3","A",0
26,1,75,0,3.714033," ","integrate((d*x+c)*cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(b d x + b c\right)} \cos\left(4 \, b x + 4 \, a\right)}{32 \, b^{2}} - \frac{{\left(b d x + b c\right)} \cos\left(2 \, b x + 2 \, a\right)}{8 \, b^{2}} - \frac{d \sin\left(4 \, b x + 4 \, a\right)}{128 \, b^{2}} + \frac{d \sin\left(2 \, b x + 2 \, a\right)}{16 \, b^{2}}"," ",0,"1/32*(b*d*x + b*c)*cos(4*b*x + 4*a)/b^2 - 1/8*(b*d*x + b*c)*cos(2*b*x + 2*a)/b^2 - 1/128*d*sin(4*b*x + 4*a)/b^2 + 1/16*d*sin(2*b*x + 2*a)/b^2","A",0
27,1,6046,0,2.114269," ","integrate(cos(b*x+a)*sin(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","-\frac{\Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 8 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - 16 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \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(2 \, a\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\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(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\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(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\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{2 \, b c}{d}\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{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right)^{2} \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(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\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{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\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{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 8 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, 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{2 \, 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{2 \, b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 8 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 16 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 8 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 8 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - 16 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, 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(2 \, 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(2 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \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(2 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, 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} + 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(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \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)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\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(\frac{2 \, b c}{d}\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(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) - 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\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{2 \, b c}{d}\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{2 \, b c}{d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \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(2 \, a\right)^{2} \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)^{2} \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)^{2} \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(\frac{2 \, b c}{d}\right)^{2} \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(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{b c}{d}\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)^{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)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\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(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 8 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, \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 \, \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) - 16 \, \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) + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, 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(\frac{b c}{d}\right)^{2} - 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(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\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(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) - 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 4 \, \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(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) + 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \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(\frac{b c}{d}\right) + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) - \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right)}{16 \, {\left(d \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} + d \tan\left(a\right)^{2} + d \tan\left(\frac{2 \, b c}{d}\right)^{2} + d \tan\left(\frac{b c}{d}\right)^{2} + d\right)}}"," ",0,"-1/16*(imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d) - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d) + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2*tan(b*c/d)^2 + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 - 8*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) + 8*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) - 16*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 + 4*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 - 4*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 + 8*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 + imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d) + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d) - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2 - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2 - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)^2 - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d) - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d) + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d) + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d) - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d) - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d) + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)*tan(b*c/d)^2 + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)*tan(b*c/d)^2 + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2*tan(b*c/d)^2 + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2*tan(b*c/d)^2 + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)*tan(b*c/d)^2 + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2*tan(b*c/d)^2 + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(2*b*c/d)^2*tan(b*c/d)^2 + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(2*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2 + 4*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d) - 4*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d) + 8*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(a)^2*tan(2*b*c/d) + imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2 - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(a)^2*tan(2*b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2*tan(2*b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(a)^2*tan(2*b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(2*b*c/d)^2 - 8*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)*tan(b*c/d) + 8*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)*tan(b*c/d) - 16*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)*tan(b*c/d) - 8*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) + 8*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) - 16*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(b*c/d)^2 + imag_part(cos_integral(4*b*x + 4*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 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 + 4*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)*tan(b*c/d)^2 - 4*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)*tan(b*c/d)^2 + 8*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d)*tan(b*c/d)^2 - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d)^2*tan(b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*b*c/d)^2*tan(b*c/d)^2 - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a) - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a) + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2 + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2 + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(a)^2*tan(2*b*c/d) - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2*tan(2*b*c/d) - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(2*b*c/d)^2 - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(2*b*c/d)^2 + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(b*c/d) + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(b*c/d) - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d) + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d) + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(b*c/d)^2 + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(b*c/d)^2 + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)*tan(b*c/d)^2 - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2 + imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(a)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(a)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2 + 4*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) - 4*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 8*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d) - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*b*c/d)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*b*c/d)^2 - 8*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) + 8*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) - 16*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d) + imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(b*c/d)^2 + 2*imag_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(b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + imag_part(cos_integral(4*b*x + 4*b*c/d)) - 2*imag_part(cos_integral(2*b*x + 2*b*c/d)) + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d)) - imag_part(cos_integral(-4*b*x - 4*b*c/d)) + 2*sin_integral(4*(b*d*x + b*c)/d) - 4*sin_integral(2*(b*d*x + b*c)/d))/(d*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + d*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 + d*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 + d*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + d*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + d*tan(2*a)^2*tan(a)^2 + d*tan(2*a)^2*tan(2*b*c/d)^2 + d*tan(a)^2*tan(2*b*c/d)^2 + d*tan(2*a)^2*tan(b*c/d)^2 + d*tan(a)^2*tan(b*c/d)^2 + d*tan(2*b*c/d)^2*tan(b*c/d)^2 + d*tan(2*a)^2 + d*tan(a)^2 + d*tan(2*b*c/d)^2 + d*tan(b*c/d)^2 + d)","C",0
28,-1,0,0,0.000000," ","integrate(cos(b*x+a)*sin(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,-1,0,0,0.000000," ","integrate(cos(b*x+a)*sin(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,-1,0,0,0.000000," ","integrate(cos(b*x+a)*sin(b*x+a)^3/(d*x+c)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right) \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)*csc(b*x + a), x)","F",0
32,0,0,0,0.000000," ","integrate((d*x+c)^4*cos(b*x+a)*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \cos\left(b x + a\right) \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^4*cos(b*x + a)*csc(b*x + a), x)","F",0
33,0,0,0,0.000000," ","integrate((d*x+c)^3*cos(b*x+a)*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \cos\left(b x + a\right) \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*cos(b*x + a)*csc(b*x + a), x)","F",0
34,0,0,0,0.000000," ","integrate((d*x+c)^2*cos(b*x+a)*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \cos\left(b x + a\right) \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*cos(b*x + a)*csc(b*x + a), x)","F",0
35,0,0,0,0.000000," ","integrate((d*x+c)*cos(b*x+a)*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \cos\left(b x + a\right) \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)*cos(b*x + a)*csc(b*x + a), x)","F",0
36,0,0,0,0.000000," ","integrate(cos(b*x+a)*csc(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\cos\left(b x + a\right) \csc\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(cos(b*x + a)*csc(b*x + a)/(d*x + c), x)","F",0
37,0,0,0,0.000000," ","integrate(cos(b*x+a)*csc(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\cos\left(b x + a\right) \csc\left(b x + a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(cos(b*x + a)*csc(b*x + a)/(d*x + c)^2, x)","F",0
38,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)*csc(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right) \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)*csc(b*x + a)^2, x)","F",0
39,0,0,0,0.000000," ","integrate((d*x+c)^4*cos(b*x+a)*csc(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \cos\left(b x + a\right) \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^4*cos(b*x + a)*csc(b*x + a)^2, x)","F",0
40,0,0,0,0.000000," ","integrate((d*x+c)^3*cos(b*x+a)*csc(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \cos\left(b x + a\right) \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*cos(b*x + a)*csc(b*x + a)^2, x)","F",0
41,0,0,0,0.000000," ","integrate((d*x+c)^2*cos(b*x+a)*csc(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \cos\left(b x + a\right) \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*cos(b*x + a)*csc(b*x + a)^2, x)","F",0
42,1,801,0,0.752343," ","integrate((d*x+c)*cos(b*x+a)*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} - d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\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) + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{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{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\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} + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{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} + b c \tan\left(\frac{1}{2} \, a\right)^{2} + b d x + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right) - d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right) + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right) - d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{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 - d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^2*tan(1/2*a) + d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^2 + 1))*tan(1/2*b*x)^2*tan(1/2*a) + b*d*x*tan(1/2*a)^2 - d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a)^2 + d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^2 + 1))*tan(1/2*b*x)*tan(1/2*a)^2 + b*c*tan(1/2*b*x)^2 + b*c*tan(1/2*a)^2 + b*d*x + d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x) - d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^2 + 1))*tan(1/2*b*x) + d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*a) - d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^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
43,0,0,0,0.000000," ","integrate(cos(b*x+a)*csc(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{\cos\left(b x + a\right) \csc\left(b x + a\right)^{2}}{d x + c}\,{d x}"," ",0,"integrate(cos(b*x + a)*csc(b*x + a)^2/(d*x + c), x)","F",0
44,0,0,0,0.000000," ","integrate(cos(b*x+a)*csc(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\cos\left(b x + a\right) \csc\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(cos(b*x + a)*csc(b*x + a)^2/(d*x + c)^2, x)","F",0
45,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)*csc(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right) \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)*csc(b*x + a)^3, x)","F",0
46,0,0,0,0.000000," ","integrate((d*x+c)^4*cos(b*x+a)*csc(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \cos\left(b x + a\right) \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^4*cos(b*x + a)*csc(b*x + a)^3, x)","F",0
47,0,0,0,0.000000," ","integrate((d*x+c)^3*cos(b*x+a)*csc(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \cos\left(b x + a\right) \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^3*cos(b*x + a)*csc(b*x + a)^3, x)","F",0
48,1,3482,0,2.881318," ","integrate((d*x+c)^2*cos(b*x+a)*csc(b*x+a)^3,x, algorithm=""giac"")","-\frac{b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 4 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 8 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 4 \, d^{2} \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)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 8 \, d^{2} \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)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 2 \, b^{2} c d x \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, d^{2} \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)^{4} + 2 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} + b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + b^{2} c^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b c d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{2} - 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} - 24 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 8 \, d^{2} \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)^{3} \tan\left(\frac{1}{2} \, a\right) + 4 \, b^{2} c d x \tan\left(\frac{1}{2} \, a\right)^{2} - 24 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 16 \, d^{2} \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)^{2} - 4 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right)^{3} + 8 \, d^{2} \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)^{3} + b^{2} d^{2} x^{2} + 2 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} - 4 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{3} - 24 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 24 \, b c d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 4 \, b c d \tan\left(\frac{1}{2} \, a\right)^{3} + 2 \, b^{2} c d x + 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right) - 4 \, d^{2} \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} + 4 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right) - 8 \, d^{2} \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) - 4 \, d^{2} \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)^{2} + b^{2} c^{2} + 4 \, b c d \tan\left(\frac{1}{2} \, b x\right) + 4 \, b c d \tan\left(\frac{1}{2} \, a\right)}{8 \, {\left(b^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + b^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 4 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + b^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + b^{3} \tan\left(\frac{1}{2} \, a\right)^{2}\right)}}"," ",0,"-1/8*(b^2*d^2*x^2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^2*c*d*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^2*d^2*x^2*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^2*d^2*x^2*tan(1/2*b*x)^2*tan(1/2*a)^4 + b^2*c^2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 4*b^2*c*d*x*tan(1/2*b*x)^4*tan(1/2*a)^2 - 4*b*d^2*x*tan(1/2*b*x)^4*tan(1/2*a)^3 + 4*b^2*c*d*x*tan(1/2*b*x)^2*tan(1/2*a)^4 - 4*b*d^2*x*tan(1/2*b*x)^3*tan(1/2*a)^4 + b^2*d^2*x^2*tan(1/2*b*x)^4 + 4*b^2*d^2*x^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*b^2*c^2*tan(1/2*b*x)^4*tan(1/2*a)^2 - 4*b*c*d*tan(1/2*b*x)^4*tan(1/2*a)^3 + b^2*d^2*x^2*tan(1/2*a)^4 + 2*b^2*c^2*tan(1/2*b*x)^2*tan(1/2*a)^4 - 4*b*c*d*tan(1/2*b*x)^3*tan(1/2*a)^4 + 2*b^2*c*d*x*tan(1/2*b*x)^4 + 4*b*d^2*x*tan(1/2*b*x)^4*tan(1/2*a) + 8*b^2*c*d*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + 24*b*d^2*x*tan(1/2*b*x)^3*tan(1/2*a)^2 - 4*d^2*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)^4*tan(1/2*a)^2 + 24*b*d^2*x*tan(1/2*b*x)^2*tan(1/2*a)^3 - 8*d^2*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)^3*tan(1/2*a)^3 + 2*b^2*c*d*x*tan(1/2*a)^4 + 4*b*d^2*x*tan(1/2*b*x)*tan(1/2*a)^4 - 4*d^2*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)^4 + 2*b^2*d^2*x^2*tan(1/2*b*x)^2 + b^2*c^2*tan(1/2*b*x)^4 + 4*b*c*d*tan(1/2*b*x)^4*tan(1/2*a) + 2*b^2*d^2*x^2*tan(1/2*a)^2 + 4*b^2*c^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 24*b*c*d*tan(1/2*b*x)^3*tan(1/2*a)^2 + 24*b*c*d*tan(1/2*b*x)^2*tan(1/2*a)^3 + b^2*c^2*tan(1/2*a)^4 + 4*b*c*d*tan(1/2*b*x)*tan(1/2*a)^4 + 4*b^2*c*d*x*tan(1/2*b*x)^2 - 4*b*d^2*x*tan(1/2*b*x)^3 - 24*b*d^2*x*tan(1/2*b*x)^2*tan(1/2*a) + 8*d^2*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)^3*tan(1/2*a) + 4*b^2*c*d*x*tan(1/2*a)^2 - 24*b*d^2*x*tan(1/2*b*x)*tan(1/2*a)^2 + 16*d^2*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)^2 - 4*b*d^2*x*tan(1/2*a)^3 + 8*d^2*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)^3 + b^2*d^2*x^2 + 2*b^2*c^2*tan(1/2*b*x)^2 - 4*b*c*d*tan(1/2*b*x)^3 - 24*b*c*d*tan(1/2*b*x)^2*tan(1/2*a) + 2*b^2*c^2*tan(1/2*a)^2 - 24*b*c*d*tan(1/2*b*x)*tan(1/2*a)^2 - 4*b*c*d*tan(1/2*a)^3 + 2*b^2*c*d*x + 4*b*d^2*x*tan(1/2*b*x) - 4*d^2*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 + 4*b*d^2*x*tan(1/2*a) - 8*d^2*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) - 4*d^2*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)^2 + b^2*c^2 + 4*b*c*d*tan(1/2*b*x) + 4*b*c*d*tan(1/2*a))/(b^3*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^3*tan(1/2*b*x)^3*tan(1/2*a)^3 + b^3*tan(1/2*b*x)^2*tan(1/2*a)^4 - 2*b^3*tan(1/2*b*x)^3*tan(1/2*a) - 4*b^3*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*b^3*tan(1/2*b*x)*tan(1/2*a)^3 + b^3*tan(1/2*b*x)^2 + 2*b^3*tan(1/2*b*x)*tan(1/2*a) + b^3*tan(1/2*a)^2)","B",0
49,1,526,0,0.358496," ","integrate((d*x+c)*cos(b*x+a)*csc(b*x+a)^3,x, algorithm=""giac"")","-\frac{b d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + b c \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b c \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 2 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + b d x \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b d x \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} \, a\right)^{4} + b c \tan\left(\frac{1}{2} \, b x\right)^{4} + 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 4 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 12 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 12 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + b c \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b d x \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} - 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} - 12 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b c \tan\left(\frac{1}{2} \, a\right)^{2} - 12 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, d \tan\left(\frac{1}{2} \, a\right)^{3} + b d x + b c + 2 \, d \tan\left(\frac{1}{2} \, b x\right) + 2 \, d \tan\left(\frac{1}{2} \, a\right)}{8 \, {\left(b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 4 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + b^{2} \tan\left(\frac{1}{2} \, a\right)^{2}\right)}}"," ",0,"-1/8*(b*d*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + b*c*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b*d*x*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^4 + 2*b*c*tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*d*tan(1/2*b*x)^4*tan(1/2*a)^3 + 2*b*c*tan(1/2*b*x)^2*tan(1/2*a)^4 - 2*d*tan(1/2*b*x)^3*tan(1/2*a)^4 + b*d*x*tan(1/2*b*x)^4 + 4*b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + b*d*x*tan(1/2*a)^4 + b*c*tan(1/2*b*x)^4 + 2*d*tan(1/2*b*x)^4*tan(1/2*a) + 4*b*c*tan(1/2*b*x)^2*tan(1/2*a)^2 + 12*d*tan(1/2*b*x)^3*tan(1/2*a)^2 + 12*d*tan(1/2*b*x)^2*tan(1/2*a)^3 + b*c*tan(1/2*a)^4 + 2*d*tan(1/2*b*x)*tan(1/2*a)^4 + 2*b*d*x*tan(1/2*b*x)^2 + 2*b*d*x*tan(1/2*a)^2 + 2*b*c*tan(1/2*b*x)^2 - 2*d*tan(1/2*b*x)^3 - 12*d*tan(1/2*b*x)^2*tan(1/2*a) + 2*b*c*tan(1/2*a)^2 - 12*d*tan(1/2*b*x)*tan(1/2*a)^2 - 2*d*tan(1/2*a)^3 + b*d*x + b*c + 2*d*tan(1/2*b*x) + 2*d*tan(1/2*a))/(b^2*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^2*tan(1/2*b*x)^3*tan(1/2*a)^3 + b^2*tan(1/2*b*x)^2*tan(1/2*a)^4 - 2*b^2*tan(1/2*b*x)^3*tan(1/2*a) - 4*b^2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*b^2*tan(1/2*b*x)*tan(1/2*a)^3 + b^2*tan(1/2*b*x)^2 + 2*b^2*tan(1/2*b*x)*tan(1/2*a) + b^2*tan(1/2*a)^2)","B",0
50,0,0,0,0.000000," ","integrate(cos(b*x+a)*csc(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\int \frac{\cos\left(b x + a\right) \csc\left(b x + a\right)^{3}}{d x + c}\,{d x}"," ",0,"integrate(cos(b*x + a)*csc(b*x + a)^3/(d*x + c), x)","F",0
51,-1,0,0,0.000000," ","integrate(cos(b*x+a)*csc(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,1,1198,0,3.063366," ","integrate((d*x+c)^(5/2)*cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\frac{64 \, {\left(\frac{i \, \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{i \, \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)}}\right)} c^{3} + 12 \, c d^{2} {\left(\frac{\frac{i \, \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 i \, {\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}}}{d^{2}} + \frac{-\frac{i \, \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 i \, {\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}}}{d^{2}}\right)} + d^{3} {\left(\frac{-\frac{i \, \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 i \, {\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}}}{d^{3}} + \frac{\frac{i \, \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 i \, {\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}}}{d^{3}}\right)} + 48 \, {\left(-\frac{i \, \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{i \, \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{2 \, \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{2 \, \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}}{256 \, d}"," ",0,"-1/256*(64*(I*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)) - I*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)))*c^3 + 12*c*d^2*((I*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*I*(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 + (-I*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*I*(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*((-I*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*I*(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 + (I*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*I*(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) + 48*(-I*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) + I*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) + 2*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 2*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
53,1,743,0,0.508740," ","integrate((d*x+c)^(3/2)*cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\frac{16 \, {\left(\frac{i \, \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{i \, \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)}}\right)} c^{2} + d^{2} {\left(\frac{\frac{i \, \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 i \, {\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}}}{d^{2}} + \frac{-\frac{i \, \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 i \, {\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}}}{d^{2}}\right)} + 8 \, {\left(-\frac{i \, \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{i \, \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{2 \, \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{2 \, \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}{64 \, d}"," ",0,"-1/64*(16*(I*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)) - I*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)))*c^2 + d^2*((I*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*I*(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 + (-I*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*I*(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) + 8*(-I*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) + I*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) + 2*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 2*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
54,1,402,0,0.559687," ","integrate((d*x+c)^(1/2)*cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\frac{4 \, {\left(\frac{i \, \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{i \, \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)}}\right)} c - \frac{i \, \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{i \, \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{2 \, \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{2 \, \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}}{16 \, d}"," ",0,"-1/16*(4*(I*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)) - I*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)))*c - I*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) + I*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) + 2*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 2*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
55,1,402,0,0.402813," ","integrate((d*x+c)^(1/2)*cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\frac{4 \, {\left(\frac{i \, \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{i \, \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)}}\right)} c - \frac{i \, \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{i \, \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{2 \, \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{2 \, \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}}{16 \, d}"," ",0,"-1/16*(4*(I*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)) - I*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)))*c - I*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) + I*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) + 2*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 2*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
56,1,743,0,1.024554," ","integrate((d*x+c)^(3/2)*cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\frac{16 \, {\left(\frac{i \, \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{i \, \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)}}\right)} c^{2} + d^{2} {\left(\frac{\frac{i \, \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 i \, {\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}}}{d^{2}} + \frac{-\frac{i \, \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 i \, {\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}}}{d^{2}}\right)} + 8 \, {\left(-\frac{i \, \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{i \, \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{2 \, \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{2 \, \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}{64 \, d}"," ",0,"-1/64*(16*(I*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)) - I*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)))*c^2 + d^2*((I*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*I*(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 + (-I*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*I*(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) + 8*(-I*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) + I*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) + 2*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 2*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
57,1,1198,0,0.677605," ","integrate((d*x+c)^(5/2)*cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\frac{64 \, {\left(\frac{i \, \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{i \, \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)}}\right)} c^{3} + 12 \, c d^{2} {\left(\frac{\frac{i \, \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 i \, {\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}}}{d^{2}} + \frac{-\frac{i \, \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 i \, {\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}}}{d^{2}}\right)} + d^{3} {\left(\frac{-\frac{i \, \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 i \, {\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}}}{d^{3}} + \frac{\frac{i \, \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 i \, {\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}}}{d^{3}}\right)} + 48 \, {\left(-\frac{i \, \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{i \, \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{2 \, \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{2 \, \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}}{256 \, d}"," ",0,"-1/256*(64*(I*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)) - I*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)))*c^3 + 12*c*d^2*((I*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*I*(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 + (-I*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*I*(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*((-I*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*I*(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 + (I*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*I*(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) + 48*(-I*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) + I*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) + 2*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 2*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
58,1,2453,0,3.344609," ","integrate((d*x+c)^(5/2)*cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{72 \, {\left(\frac{\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{3 \, \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{3 \, \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{\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{\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 \, {\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{\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 \, {\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}}\right)}}{d^{2}} - \frac{9 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{\frac{\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 \, {\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{\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 \, {\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{\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 \, {\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}}\right)}}{d^{3}} - \frac{27 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{3}} + \frac{\frac{\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 \, {\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{\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 \, \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{9 \, \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{\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 i \, \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{18 i \, \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{18 i \, \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 i \, \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*(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)) - 3*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)) - 3*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)) + 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*((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*(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*(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*(-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 - 9*(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*(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 + (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*(-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*((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*(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*(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*(-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 - 27*(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*(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 + (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*(-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*(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*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) - 9*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) + 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(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 18*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 18*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 6*I*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
59,1,1529,0,2.765780," ","integrate((d*x+c)^(3/2)*cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{12 \, {\left(\frac{\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{3 \, \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{3 \, \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{\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{\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 \, {\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{\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 \, {\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}}\right)}}{d^{2}} - \frac{9 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{\frac{\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 \, {\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{\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 \, \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{9 \, \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{\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 i \, \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{18 i \, \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{18 i \, \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 i \, \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*(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)) - 3*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)) - 3*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)) + 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*((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*(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*(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*(-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 - 9*(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*(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 + (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*(-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*(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*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) - 9*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) + 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(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 18*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 18*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 6*I*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
60,1,838,0,2.852359," ","integrate((d*x+c)^(1/2)*cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{\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 \, \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{9 \, \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{\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{\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{3 \, \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{3 \, \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{\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 i \, \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{18 i \, \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{18 i \, \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 i \, \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*(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*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) - 9*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) + 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(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)) - 3*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)) - 3*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)) + 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*I*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 18*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 18*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 6*I*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
61,1,838,0,3.872140," ","integrate((d*x+c)^(1/2)*cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{\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 \, \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{9 \, \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{\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{\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{3 \, \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{3 \, \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{\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 i \, \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{18 i \, \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{18 i \, \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 i \, \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*(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*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) - 9*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) + 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(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)) - 3*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)) - 3*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)) + 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*I*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 18*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 18*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 6*I*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
62,1,1529,0,6.938756," ","integrate((d*x+c)^(3/2)*cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{12 \, {\left(\frac{\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{3 \, \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{3 \, \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{\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{\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 \, {\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{\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 \, {\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}}\right)}}{d^{2}} - \frac{9 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{\frac{\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 \, {\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{\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 \, \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{9 \, \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{\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 i \, \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{18 i \, \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{18 i \, \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 i \, \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*(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)) - 3*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)) - 3*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)) + 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*((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*(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*(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*(-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 - 9*(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*(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 + (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*(-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*(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*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) - 9*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) + 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(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 18*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 18*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 6*I*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
63,1,2453,0,2.457914," ","integrate((d*x+c)^(5/2)*cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{72 \, {\left(\frac{\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{3 \, \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{3 \, \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{\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{\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 \, {\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{\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 \, {\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}}\right)}}{d^{2}} - \frac{9 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{\frac{\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 \, {\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{\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 \, {\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{\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 \, {\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}}\right)}}{d^{3}} - \frac{27 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{3}} + \frac{\frac{\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 \, {\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{\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 \, \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{9 \, \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{\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 i \, \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{18 i \, \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{18 i \, \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 i \, \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*(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)) - 3*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)) - 3*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)) + 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*((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*(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*(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*(-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 - 9*(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*(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 + (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*(-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*((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*(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*(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*(-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 - 27*(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*(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 + (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*(-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*(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*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) - 9*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) + 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(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 18*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 18*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 6*I*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
64,1,2418,0,3.275700," ","integrate((d*x+c)^(5/2)*cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{512 \, {\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c^{3} + 24 \, c d^{2} {\left(\frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{16 \, {\left(\frac{i \, \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 i \, {\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{16 \, {\left(-\frac{i \, \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 i \, {\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{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} + 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{4 i \, {\left(-64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 192 i \, \sqrt{d x + c} b^{2} c^{2} d - 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + 72 \, \sqrt{d x + c} b c d^{2} + 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} - 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{4 i \, {\left(-64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 192 i \, \sqrt{d x + c} b^{2} c^{2} d + 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 72 \, \sqrt{d x + c} b c d^{2} + 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{32 \, {\left(-\frac{i \, \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 i \, {\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{32 \, {\left(\frac{i \, \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 i \, {\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)} + 192 \, {\left(\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c^{2}}{16384 \, d}"," ",0,"-1/16384*(512*(-I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c^3 + 24*c*d^2*((-I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + (I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2 + 16*(I*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*I*(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 + 16*(-I*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*I*(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*((I*sqrt(2)*sqrt(pi)*(512*b^3*c^3 + 192*I*b^2*c^2*d - 72*b*c*d^2 - 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 4*I*(-64*I*(d*x + c)^(5/2)*b^2*d + 192*I*(d*x + c)^(3/2)*b^2*c*d - 192*I*sqrt(d*x + c)*b^2*c^2*d - 40*(d*x + c)^(3/2)*b*d^2 + 72*sqrt(d*x + c)*b*c*d^2 + 15*I*sqrt(d*x + c)*d^3)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^3)/d^3 + (-I*sqrt(2)*sqrt(pi)*(512*b^3*c^3 - 192*I*b^2*c^2*d - 72*b*c*d^2 + 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 4*I*(-64*I*(d*x + c)^(5/2)*b^2*d + 192*I*(d*x + c)^(3/2)*b^2*c*d - 192*I*sqrt(d*x + c)*b^2*c^2*d + 40*(d*x + c)^(3/2)*b*d^2 - 72*sqrt(d*x + c)*b*c*d^2 + 15*I*sqrt(d*x + c)*d^3)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^3)/d^3 + 32*(-I*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*I*(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 + 32*(I*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*I*(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) + 192*(I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 8*I*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) + 8*I*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) - 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c^2)/d","C",0
65,1,1503,0,4.752431," ","integrate((d*x+c)^(3/2)*cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{64 \, {\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c^{2} + d^{2} {\left(\frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{16 \, {\left(\frac{i \, \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 i \, {\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{16 \, {\left(-\frac{i \, \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 i \, {\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)} + 16 \, {\left(\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c}{2048 \, d}"," ",0,"-1/2048*(64*(-I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c^2 + d^2*((-I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + (I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2 + 16*(I*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*I*(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 + 16*(-I*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*I*(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) + 16*(I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 8*I*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) + 8*I*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) - 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c)/d","C",0
66,1,818,0,2.828213," ","integrate((d*x+c)^(1/2)*cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}}{256 \, d}"," ",0,"-1/256*(I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 8*(-I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c - 8*I*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) + 8*I*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) - 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)/d","C",0
67,1,818,0,1.073140," ","integrate((d*x+c)^(1/2)*cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}}{256 \, d}"," ",0,"-1/256*(I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 8*(-I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c - 8*I*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) + 8*I*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) - 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)/d","C",0
68,1,1503,0,6.767455," ","integrate((d*x+c)^(3/2)*cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{64 \, {\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c^{2} + d^{2} {\left(\frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{16 \, {\left(\frac{i \, \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 i \, {\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{16 \, {\left(-\frac{i \, \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 i \, {\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)} + 16 \, {\left(\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c}{2048 \, d}"," ",0,"-1/2048*(64*(-I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c^2 + d^2*((-I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + (I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2 + 16*(I*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*I*(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 + 16*(-I*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*I*(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) + 16*(I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 8*I*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) + 8*I*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) - 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c)/d","C",0
69,1,2418,0,4.041481," ","integrate((d*x+c)^(5/2)*cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{512 \, {\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c^{3} + 24 \, c d^{2} {\left(\frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{16 \, {\left(\frac{i \, \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 i \, {\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{16 \, {\left(-\frac{i \, \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 i \, {\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{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} + 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{4 i \, {\left(-64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 192 i \, \sqrt{d x + c} b^{2} c^{2} d - 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + 72 \, \sqrt{d x + c} b c d^{2} + 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} - 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{4 i \, {\left(-64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 192 i \, \sqrt{d x + c} b^{2} c^{2} d + 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 72 \, \sqrt{d x + c} b c d^{2} + 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{32 \, {\left(-\frac{i \, \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 i \, {\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{32 \, {\left(\frac{i \, \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 i \, {\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)} + 192 \, {\left(\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c^{2}}{16384 \, d}"," ",0,"-1/16384*(512*(-I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c^3 + 24*c*d^2*((-I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + (I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2 + 16*(I*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*I*(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 + 16*(-I*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*I*(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*((I*sqrt(2)*sqrt(pi)*(512*b^3*c^3 + 192*I*b^2*c^2*d - 72*b*c*d^2 - 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 4*I*(-64*I*(d*x + c)^(5/2)*b^2*d + 192*I*(d*x + c)^(3/2)*b^2*c*d - 192*I*sqrt(d*x + c)*b^2*c^2*d - 40*(d*x + c)^(3/2)*b*d^2 + 72*sqrt(d*x + c)*b*c*d^2 + 15*I*sqrt(d*x + c)*d^3)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^3)/d^3 + (-I*sqrt(2)*sqrt(pi)*(512*b^3*c^3 - 192*I*b^2*c^2*d - 72*b*c*d^2 + 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 4*I*(-64*I*(d*x + c)^(5/2)*b^2*d + 192*I*(d*x + c)^(3/2)*b^2*c*d - 192*I*sqrt(d*x + c)*b^2*c^2*d + 40*(d*x + c)^(3/2)*b*d^2 - 72*sqrt(d*x + c)*b*c*d^2 + 15*I*sqrt(d*x + c)*d^3)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^3)/d^3 + 32*(-I*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*I*(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 + 32*(I*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*I*(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) + 192*(I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 8*I*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) + 8*I*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) - 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c^2)/d","C",0
70,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)^2*sin(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right)^{2} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)^2*sin(b*x + a), x)","F",0
71,1,350,0,0.247330," ","integrate((d*x+c)^4*cos(b*x+a)^2*sin(b*x+a),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{{\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{{\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 - 1/4*(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 + (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
72,1,231,0,1.909704," ","integrate((d*x+c)^3*cos(b*x+a)^2*sin(b*x+a),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{{\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{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)}{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 - 1/4*(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 + 3/4*(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
73,1,137,0,4.946750," ","integrate((d*x+c)^2*cos(b*x+a)^2*sin(b*x+a),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{{\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{{\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 - 1/4*(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 + 1/2*(b*d^2*x + b*c*d)*sin(b*x + a)/b^3","A",0
74,1,69,0,0.171407," ","integrate((d*x+c)*cos(b*x+a)^2*sin(b*x+a),x, algorithm=""giac"")","-\frac{{\left(b d x + b c\right)} \cos\left(3 \, b x + 3 \, a\right)}{12 \, b^{2}} - \frac{{\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{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 - 1/4*(b*d*x + b*c)*cos(b*x + a)/b^2 + 1/36*d*sin(3*b*x + 3*a)/b^2 + 1/4*d*sin(b*x + a)/b^2","A",0
75,1,6279,0,3.831714," ","integrate(cos(b*x+a)^2*sin(b*x+a)/(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} + \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(-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} + 2 \, \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} + 2 \, \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(-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} - 2 \, \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(-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} - \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(-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} - 2 \, \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} + 4 \, \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) - 4 \, \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) + 8 \, \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} + \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(-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} + 2 \, \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} - \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(-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} - 2 \, \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} + \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(-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} + 2 \, \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) + 2 \, \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(-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} + 2 \, \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) + 2 \, \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) - 2 \, \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) - 2 \, \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) + 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{3 \, b c}{2 \, d}\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{3 \, b c}{2 \, d}\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{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(-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} - 2 \, \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} - 2 \, \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} - \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(-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} - 2 \, \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} + \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(-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} + 2 \, \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} - \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(-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} - 2 \, \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} + 4 \, \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) - 4 \, \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) + 8 \, \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) + 4 \, \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) - 4 \, \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) + 8 \, \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} - \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(-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} - 2 \, \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} + \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} - \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} + 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} + 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} - \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(-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} - 2 \, \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} + 2 \, \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(-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} + 2 \, \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} + 2 \, \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} - 2 \, \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) - 2 \, \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) + 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{3 \, b c}{2 \, d}\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{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} - 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} - 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} + \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(-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} + 2 \, \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} - \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} - \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} - 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(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} + \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(-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} + 2 \, \operatorname{Si}\left(\frac{b d x + b c}{d}\right) \tan\left(\frac{3 \, b c}{2 \, d}\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(3 \, b x + \frac{3 \, 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} + \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} - 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(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) + 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(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) - 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(3 \, b x + \frac{3 \, b c}{d}\right) \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) - \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) + 2 \, \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 + 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(-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 + 2*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 + 2*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(-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 - 2*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(-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 - 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(-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 - 2*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 + 4*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) - 4*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) + 8*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 + 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(-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 + 2*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 - 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(-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 - 2*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 + 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(-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 + 2*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) + 2*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(-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 + 2*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) + 2*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) - 2*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) - 2*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) + 2*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) + 2*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) - 2*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(-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 - 2*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 - 2*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 - imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)^2 + 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 - 2*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 + 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(-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 + 2*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 - 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(-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 - 2*sin_integral((b*d*x + b*c)/d)*tan(1/2*a)^2*tan(3/2*b*c/d)^2 + 4*imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(1/2*b*c/d) - 4*imag_part(cos_integral(-b*x - b*c/d))*tan(3/2*a)^2*tan(1/2*a)*tan(1/2*b*c/d) + 8*sin_integral((b*d*x + b*c)/d)*tan(3/2*a)^2*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(3/2*b*c/d)^2*tan(1/2*b*c/d) - 4*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) + 8*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 - 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(-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 - 2*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 + 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 - 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 + 2*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 - 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(-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 - 2*sin_integral((b*d*x + b*c)/d)*tan(3/2*b*c/d)^2*tan(1/2*b*c/d)^2 + 2*real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*a) + 2*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 + 2*real_part(cos_integral(b*x + b*c/d))*tan(1/2*a)*tan(3/2*b*c/d)^2 + 2*real_part(cos_integral(-b*x - b*c/d))*tan(1/2*a)*tan(3/2*b*c/d)^2 - 2*real_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2*tan(1/2*b*c/d) - 2*real_part(cos_integral(-b*x - b*c/d))*tan(3/2*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)^2*tan(1/2*b*c/d) - 2*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(-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 - 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 - 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 + imag_part(cos_integral(b*x + b*c/d))*tan(3/2*a)^2 - 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 + 2*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 - 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 - 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 - 2*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 + imag_part(cos_integral(b*x + b*c/d))*tan(3/2*b*c/d)^2 - 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 + 2*sin_integral((b*d*x + b*c)/d)*tan(3/2*b*c/d)^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(3*b*x + 3*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 + 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 - 2*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) + 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(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) - 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(3*b*x + 3*b*c/d)) + imag_part(cos_integral(b*x + b*c/d)) - 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) + 2*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
76,-1,0,0,0.000000," ","integrate(cos(b*x+a)^2*sin(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
77,-1,0,0,0.000000," ","integrate(cos(b*x+a)^2*sin(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate(cos(b*x+a)^2*sin(b*x+a)/(d*x+c)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right)^{2} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)^2*sin(b*x + a)^2, x)","F",0
80,1,224,0,1.113217," ","integrate((d*x+c)^4*cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{40} \, d^{4} x^{5} + \frac{1}{8} \, c d^{3} x^{4} + \frac{1}{4} \, c^{2} d^{2} x^{3} + \frac{1}{4} \, c^{3} d x^{2} + \frac{1}{8} \, c^{4} x - \frac{{\left(8 \, b^{3} d^{4} x^{3} + 24 \, b^{3} c d^{3} x^{2} + 24 \, b^{3} c^{2} d^{2} x + 8 \, b^{3} c^{3} d - 3 \, b d^{4} x - 3 \, b c d^{3}\right)} \cos\left(4 \, b x + 4 \, a\right)}{256 \, b^{5}} - \frac{{\left(32 \, b^{4} d^{4} x^{4} + 128 \, b^{4} c d^{3} x^{3} + 192 \, b^{4} c^{2} d^{2} x^{2} + 128 \, b^{4} c^{3} d x + 32 \, b^{4} c^{4} - 24 \, b^{2} d^{4} x^{2} - 48 \, b^{2} c d^{3} x - 24 \, b^{2} c^{2} d^{2} + 3 \, d^{4}\right)} \sin\left(4 \, b x + 4 \, a\right)}{1024 \, b^{5}}"," ",0,"1/40*d^4*x^5 + 1/8*c*d^3*x^4 + 1/4*c^2*d^2*x^3 + 1/4*c^3*d*x^2 + 1/8*c^4*x - 1/256*(8*b^3*d^4*x^3 + 24*b^3*c*d^3*x^2 + 24*b^3*c^2*d^2*x + 8*b^3*c^3*d - 3*b*d^4*x - 3*b*c*d^3)*cos(4*b*x + 4*a)/b^5 - 1/1024*(32*b^4*d^4*x^4 + 128*b^4*c*d^3*x^3 + 192*b^4*c^2*d^2*x^2 + 128*b^4*c^3*d*x + 32*b^4*c^4 - 24*b^2*d^4*x^2 - 48*b^2*c*d^3*x - 24*b^2*c^2*d^2 + 3*d^4)*sin(4*b*x + 4*a)/b^5","A",0
81,1,153,0,0.226906," ","integrate((d*x+c)^3*cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{32} \, d^{3} x^{4} + \frac{1}{8} \, c d^{2} x^{3} + \frac{3}{16} \, c^{2} d x^{2} + \frac{1}{8} \, c^{3} x - \frac{3 \, {\left(8 \, b^{2} d^{3} x^{2} + 16 \, b^{2} c d^{2} x + 8 \, b^{2} c^{2} d - d^{3}\right)} \cos\left(4 \, b x + 4 \, a\right)}{1024 \, b^{4}} - \frac{{\left(8 \, b^{3} d^{3} x^{3} + 24 \, b^{3} c d^{2} x^{2} + 24 \, b^{3} c^{2} d x + 8 \, b^{3} c^{3} - 3 \, b d^{3} x - 3 \, b c d^{2}\right)} \sin\left(4 \, b x + 4 \, a\right)}{256 \, b^{4}}"," ",0,"1/32*d^3*x^4 + 1/8*c*d^2*x^3 + 3/16*c^2*d*x^2 + 1/8*c^3*x - 3/1024*(8*b^2*d^3*x^2 + 16*b^2*c*d^2*x + 8*b^2*c^2*d - d^3)*cos(4*b*x + 4*a)/b^4 - 1/256*(8*b^3*d^3*x^3 + 24*b^3*c*d^2*x^2 + 24*b^3*c^2*d*x + 8*b^3*c^3 - 3*b*d^3*x - 3*b*c*d^2)*sin(4*b*x + 4*a)/b^4","A",0
82,1,94,0,0.202804," ","integrate((d*x+c)^2*cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{24} \, d^{2} x^{3} + \frac{1}{8} \, c d x^{2} + \frac{1}{8} \, c^{2} x - \frac{{\left(b d^{2} x + b c d\right)} \cos\left(4 \, b x + 4 \, a\right)}{64 \, b^{3}} - \frac{{\left(8 \, b^{2} d^{2} x^{2} + 16 \, b^{2} c d x + 8 \, b^{2} c^{2} - d^{2}\right)} \sin\left(4 \, b x + 4 \, a\right)}{256 \, b^{3}}"," ",0,"1/24*d^2*x^3 + 1/8*c*d*x^2 + 1/8*c^2*x - 1/64*(b*d^2*x + b*c*d)*cos(4*b*x + 4*a)/b^3 - 1/256*(8*b^2*d^2*x^2 + 16*b^2*c*d*x + 8*b^2*c^2 - d^2)*sin(4*b*x + 4*a)/b^3","A",0
83,1,48,0,1.363022," ","integrate((d*x+c)*cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{16} \, d x^{2} + \frac{1}{8} \, c x - \frac{d \cos\left(4 \, b x + 4 \, a\right)}{128 \, b^{2}} - \frac{{\left(b d x + b c\right)} \sin\left(4 \, b x + 4 \, a\right)}{32 \, b^{2}}"," ",0,"1/16*d*x^2 + 1/8*c*x - 1/128*d*cos(4*b*x + 4*a)/b^2 - 1/32*(b*d*x + b*c)*sin(4*b*x + 4*a)/b^2","A",0
84,1,669,0,0.222771," ","integrate(cos(b*x+a)^2*sin(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\frac{2 \, \log\left({\left| d x + c \right|}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 4 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \log\left({\left| d x + c \right|}\right) \tan\left(2 \, a\right)^{2} + \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 4 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 2 \, \log\left({\left| d x + c \right|}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) - 2 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 4 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) - 2 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 4 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right) + 2 \, \log\left({\left| d x + c \right|}\right) - \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) - \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right)}{16 \, {\left(d \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} + d \tan\left(\frac{2 \, b c}{d}\right)^{2} + d\right)}}"," ",0,"1/16*(2*log(abs(d*x + c))*tan(2*a)^2*tan(2*b*c/d)^2 - real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 - real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) - 2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 4*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d) - 2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 + 2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 4*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d)^2 + 2*log(abs(d*x + c))*tan(2*a)^2 + real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 + real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 - 4*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) - 4*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 2*log(abs(d*x + c))*tan(2*b*c/d)^2 + real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 + real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 + 2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) - 2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) + 4*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a) - 2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) + 2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) - 4*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d) + 2*log(abs(d*x + c)) - real_part(cos_integral(4*b*x + 4*b*c/d)) - real_part(cos_integral(-4*b*x - 4*b*c/d)))/(d*tan(2*a)^2*tan(2*b*c/d)^2 + d*tan(2*a)^2 + d*tan(2*b*c/d)^2 + d)","C",0
85,1,3218,0,0.974916," ","integrate(cos(b*x+a)^2*sin(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\frac{b d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - b d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, b d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, b d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 2 \, b d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 2 \, b d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + b c \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - b c \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, b c \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - b d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + b d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 2 \, b d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 4 \, b d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 4 \, b d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 8 \, b d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 2 \, b c \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 2 \, b c \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - b d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + b d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b c \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b c \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + b d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - b d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, b d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, b d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) + 2 \, b d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - b c \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + b c \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 2 \, b c \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 2 \, b d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 2 \, b d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 4 \, b c \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 4 \, b c \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 8 \, b c \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 2 \, b d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 2 \, b d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - b c \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + b c \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b c \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + b c \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - b c \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, b c \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + b d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} - b d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} + 2 \, b d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} + 2 \, b c \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) + 2 \, b c \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - b d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + b d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 2 \, b d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} - 2 \, b c \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 2 \, b c \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 4 \, b d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 4 \, b d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 8 \, b d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 2 \, b c \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 2 \, b c \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - b d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + b d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b c \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b c \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + b c \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} - b c \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} + 2 \, b c \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} + 2 \, b d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 2 \, b d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) - b c \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + b c \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 2 \, b c \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} - 2 \, b d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 2 \, b d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) + 4 \, b c \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 4 \, b c \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 8 \, b c \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - b c \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + b c \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b c \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - d \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, d \tan\left(2 \, b x\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - d \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + b d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) - b d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) + 2 \, b d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) + 2 \, b c \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 2 \, b c \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) - 2 \, b c \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 2 \, b c \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) + b c \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) - b c \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) + 2 \, b c \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) - d \tan\left(2 \, b x\right)^{2} - 2 \, d \tan\left(2 \, b x\right) \tan\left(2 \, a\right) - d \tan\left(2 \, a\right)^{2}}{4 \, {\left(d^{3} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + c d^{2} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{3} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + d^{3} x \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{3} x \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + c d^{2} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + c d^{2} \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + c d^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{3} x \tan\left(2 \, b x\right)^{2} + d^{3} x \tan\left(2 \, a\right)^{2} + d^{3} x \tan\left(\frac{2 \, b c}{d}\right)^{2} + c d^{2} \tan\left(2 \, b x\right)^{2} + c d^{2} \tan\left(2 \, a\right)^{2} + c d^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{3} x + c d^{2}\right)}}"," ",0,"1/4*(b*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 - b*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 2*b*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 2*b*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) + 2*b*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) - 2*b*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 - 2*b*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + b*c*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 - b*c*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 2*b*c*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 - b*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 + b*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 - 2*b*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2 + 4*b*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) - 4*b*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 8*b*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 2*b*c*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) + 2*b*c*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) - b*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 + b*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 - 2*b*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*b*c/d)^2 - 2*b*c*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 - 2*b*c*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + b*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 - b*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 2*b*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2 + 2*b*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a) + 2*b*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a) - b*c*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 + b*c*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 - 2*b*c*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2 - 2*b*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) - 2*b*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) + 4*b*c*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) - 4*b*c*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 8*b*c*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 2*b*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 2*b*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) - b*c*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 + b*c*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 - 2*b*c*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*b*c/d)^2 - 2*b*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 2*b*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 + b*c*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 - b*c*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 2*b*c*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2 + b*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2 - b*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2 + 2*b*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2 + 2*b*c*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a) + 2*b*c*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a) - b*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 + b*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 - 2*b*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2 - 2*b*c*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) - 2*b*c*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) + 4*b*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) - 4*b*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 8*b*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d) + 2*b*c*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 2*b*c*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) - b*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 + b*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 - 2*b*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d)^2 - 2*b*c*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 2*b*c*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 + b*c*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2 - b*c*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2 + 2*b*c*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2 + 2*b*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) + 2*b*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) - b*c*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 + b*c*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 - 2*b*c*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2 - 2*b*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) - 2*b*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) + 4*b*c*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) - 4*b*c*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 8*b*c*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d) - b*c*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 + b*c*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 - 2*b*c*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d)^2 - d*tan(2*b*x)^2*tan(2*b*c/d)^2 - 2*d*tan(2*b*x)*tan(2*a)*tan(2*b*c/d)^2 - d*tan(2*a)^2*tan(2*b*c/d)^2 + b*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d)) - b*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d)) + 2*b*d*x*sin_integral(4*(b*d*x + b*c)/d) + 2*b*c*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) + 2*b*c*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) - 2*b*c*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) - 2*b*c*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) + b*c*imag_part(cos_integral(4*b*x + 4*b*c/d)) - b*c*imag_part(cos_integral(-4*b*x - 4*b*c/d)) + 2*b*c*sin_integral(4*(b*d*x + b*c)/d) - d*tan(2*b*x)^2 - 2*d*tan(2*b*x)*tan(2*a) - d*tan(2*a)^2)/(d^3*x*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + c*d^2*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + d^3*x*tan(2*b*x)^2*tan(2*a)^2 + d^3*x*tan(2*b*x)^2*tan(2*b*c/d)^2 + d^3*x*tan(2*a)^2*tan(2*b*c/d)^2 + c*d^2*tan(2*b*x)^2*tan(2*a)^2 + c*d^2*tan(2*b*x)^2*tan(2*b*c/d)^2 + c*d^2*tan(2*a)^2*tan(2*b*c/d)^2 + d^3*x*tan(2*b*x)^2 + d^3*x*tan(2*a)^2 + d^3*x*tan(2*b*c/d)^2 + c*d^2*tan(2*b*x)^2 + c*d^2*tan(2*a)^2 + c*d^2*tan(2*b*c/d)^2 + d^3*x + c*d^2)","C",0
86,1,5600,0,0.547622," ","integrate(cos(b*x+a)^2*sin(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\frac{4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 16 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 32 \, b^{2} c d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 32 \, b^{2} c d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) + 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 16 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 32 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 32 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{2} c^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{2} c^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} + 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} - 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) + 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 32 \, b^{2} c d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 32 \, b^{2} c d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 32 \, b^{2} c d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 32 \, b^{2} c d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b d^{2} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b d^{2} x \tan\left(2 \, b x\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} - 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) - 16 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) - 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) + 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 16 \, b^{2} c^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right) + 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} c^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 32 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 32 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{2} c^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{2} c^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b c d \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b c d \tan\left(2 \, b x\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) + 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} - 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) - 32 \, b^{2} c d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) + 4 \, b d^{2} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + 4 \, b d^{2} x \tan\left(2 \, b x\right) \tan\left(2 \, a\right)^{2} + 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) + 32 \, b^{2} c d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b d^{2} x \tan\left(2 \, b x\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b d^{2} x \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) - 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) - 16 \, b^{2} c^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) + 4 \, b c d \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) + 4 \, b c d \tan\left(2 \, b x\right) \tan\left(2 \, a\right)^{2} + 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{2} c^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right) - 4 \, b c d \tan\left(2 \, b x\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - d^{2} \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b c d \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, d^{2} \tan\left(2 \, b x\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - d^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) - 4 \, b d^{2} x \tan\left(2 \, b x\right) - 4 \, b d^{2} x \tan\left(2 \, a\right) - 4 \, b c d \tan\left(2 \, b x\right) - d^{2} \tan\left(2 \, b x\right)^{2} - 4 \, b c d \tan\left(2 \, a\right) - 2 \, d^{2} \tan\left(2 \, b x\right) \tan\left(2 \, a\right) - d^{2} \tan\left(2 \, a\right)^{2}}{8 \, {\left(d^{5} x^{2} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{5} x^{2} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + d^{5} x^{2} \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{5} x^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + c^{2} d^{3} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 2 \, c d^{4} x \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{5} x^{2} \tan\left(2 \, b x\right)^{2} + d^{5} x^{2} \tan\left(2 \, a\right)^{2} + c^{2} d^{3} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + d^{5} x^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + c^{2} d^{3} \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + c^{2} d^{3} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(2 \, b x\right)^{2} + 2 \, c d^{4} x \tan\left(2 \, a\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{5} x^{2} + c^{2} d^{3} \tan\left(2 \, b x\right)^{2} + c^{2} d^{3} \tan\left(2 \, a\right)^{2} + c^{2} d^{3} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"1/8*(4*b^2*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 4*b^2*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 - 8*b^2*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) + 8*b^2*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) - 16*b^2*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) + 8*b^2*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 - 8*b^2*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 16*b^2*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 8*b^2*c*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 8*b^2*c*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 - 4*b^2*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 - 4*b^2*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 + 16*b^2*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 16*b^2*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) - 16*b^2*c*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) + 16*b^2*c*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) - 32*b^2*c*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) - 4*b^2*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 - 4*b^2*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 + 16*b^2*c*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 - 16*b^2*c*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 32*b^2*c*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 4*b^2*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 4*b^2*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 4*b^2*c^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 4*b^2*c^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 - 8*b^2*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a) + 8*b^2*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a) - 16*b^2*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a) - 8*b^2*c*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 - 8*b^2*c*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 + 8*b^2*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) - 8*b^2*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) + 16*b^2*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*b*c/d) + 32*b^2*c*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 32*b^2*c*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) - 8*b^2*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 8*b^2*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) - 16*b^2*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d) - 8*b^2*c^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) + 8*b^2*c^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) - 16*b^2*c^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) - 8*b^2*c*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 - 8*b^2*c*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 + 8*b^2*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 8*b^2*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 + 16*b^2*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d)^2 + 8*b^2*c^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 - 8*b^2*c^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 16*b^2*c^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 8*b^2*c*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 8*b^2*c*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 4*b^2*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2 + 4*b^2*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2 - 16*b^2*c*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a) + 16*b^2*c*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a) - 32*b^2*c*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a) - 4*b^2*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 - 4*b^2*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 - 4*b^2*c^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 - 4*b^2*c^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 + 16*b^2*c*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) - 16*b^2*c*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) + 32*b^2*c*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*b*c/d) + 16*b^2*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 16*b^2*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 16*b^2*c^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 16*b^2*c^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) - 16*b^2*c*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 16*b^2*c*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) - 32*b^2*c*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d) - 4*b^2*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 - 4*b^2*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 - 4*b^2*c^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 - 4*b^2*c^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 + 16*b^2*c*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 16*b^2*c*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 + 32*b^2*c*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d)^2 + 4*b*d^2*x*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 4*b^2*c^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 4*b^2*c^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 4*b*d^2*x*tan(2*b*x)*tan(2*a)^2*tan(2*b*c/d)^2 + 8*b^2*c*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2 + 8*b^2*c*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2 - 8*b^2*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) + 8*b^2*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) - 16*b^2*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a) - 8*b^2*c^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a) + 8*b^2*c^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a) - 16*b^2*c^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a) - 8*b^2*c*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 - 8*b^2*c*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 + 8*b^2*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) - 8*b^2*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) + 16*b^2*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d) + 8*b^2*c^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) - 8*b^2*c^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) + 16*b^2*c^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*b*c/d) + 32*b^2*c*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 32*b^2*c*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) - 8*b^2*c^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 8*b^2*c^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) - 16*b^2*c^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d) - 8*b^2*c*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 - 8*b^2*c*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 + 8*b^2*c^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 8*b^2*c^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 + 16*b^2*c^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d)^2 + 4*b*c*d*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 4*b*c*d*tan(2*b*x)*tan(2*a)^2*tan(2*b*c/d)^2 + 4*b^2*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d)) + 4*b^2*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d)) + 4*b^2*c^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2 + 4*b^2*c^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2 - 16*b^2*c*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) + 16*b^2*c*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) - 32*b^2*c*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a) + 4*b*d^2*x*tan(2*b*x)^2*tan(2*a) - 4*b^2*c^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 - 4*b^2*c^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 + 4*b*d^2*x*tan(2*b*x)*tan(2*a)^2 + 16*b^2*c*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) - 16*b^2*c*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) + 32*b^2*c*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d) + 16*b^2*c^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 16*b^2*c^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) - 4*b^2*c^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 - 4*b^2*c^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 - 4*b*d^2*x*tan(2*b*x)*tan(2*b*c/d)^2 - 4*b*d^2*x*tan(2*a)*tan(2*b*c/d)^2 + 8*b^2*c*d*x*real_part(cos_integral(4*b*x + 4*b*c/d)) + 8*b^2*c*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d)) - 8*b^2*c^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) + 8*b^2*c^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) - 16*b^2*c^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a) + 4*b*c*d*tan(2*b*x)^2*tan(2*a) + 4*b*c*d*tan(2*b*x)*tan(2*a)^2 + 8*b^2*c^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) - 8*b^2*c^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) + 16*b^2*c^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d) - 4*b*c*d*tan(2*b*x)*tan(2*b*c/d)^2 - d^2*tan(2*b*x)^2*tan(2*b*c/d)^2 - 4*b*c*d*tan(2*a)*tan(2*b*c/d)^2 - 2*d^2*tan(2*b*x)*tan(2*a)*tan(2*b*c/d)^2 - d^2*tan(2*a)^2*tan(2*b*c/d)^2 + 4*b^2*c^2*real_part(cos_integral(4*b*x + 4*b*c/d)) + 4*b^2*c^2*real_part(cos_integral(-4*b*x - 4*b*c/d)) - 4*b*d^2*x*tan(2*b*x) - 4*b*d^2*x*tan(2*a) - 4*b*c*d*tan(2*b*x) - d^2*tan(2*b*x)^2 - 4*b*c*d*tan(2*a) - 2*d^2*tan(2*b*x)*tan(2*a) - d^2*tan(2*a)^2)/(d^5*x^2*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 2*c*d^4*x*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + d^5*x^2*tan(2*b*x)^2*tan(2*a)^2 + d^5*x^2*tan(2*b*x)^2*tan(2*b*c/d)^2 + d^5*x^2*tan(2*a)^2*tan(2*b*c/d)^2 + c^2*d^3*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 2*c*d^4*x*tan(2*b*x)^2*tan(2*a)^2 + 2*c*d^4*x*tan(2*b*x)^2*tan(2*b*c/d)^2 + 2*c*d^4*x*tan(2*a)^2*tan(2*b*c/d)^2 + d^5*x^2*tan(2*b*x)^2 + d^5*x^2*tan(2*a)^2 + c^2*d^3*tan(2*b*x)^2*tan(2*a)^2 + d^5*x^2*tan(2*b*c/d)^2 + c^2*d^3*tan(2*b*x)^2*tan(2*b*c/d)^2 + c^2*d^3*tan(2*a)^2*tan(2*b*c/d)^2 + 2*c*d^4*x*tan(2*b*x)^2 + 2*c*d^4*x*tan(2*a)^2 + 2*c*d^4*x*tan(2*b*c/d)^2 + d^5*x^2 + c^2*d^3*tan(2*b*x)^2 + c^2*d^3*tan(2*a)^2 + c^2*d^3*tan(2*b*c/d)^2 + 2*c*d^4*x + c^2*d^3)","C",0
87,1,8508,0,0.639699," ","integrate(cos(b*x+a)^2*sin(b*x+a)^2/(d*x+c)^4,x, algorithm=""giac"")","-\frac{8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 48 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 16 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 32 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 32 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 64 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 48 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) + 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 96 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 96 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 192 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 48 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} d^{3} x^{2} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{3} c^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} - 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} + 16 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} + 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) + 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 16 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} - 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 48 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 32 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 32 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 64 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 96 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 96 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 192 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 48 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{2} c d^{2} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} - 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} + 48 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} + 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) + 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} + 4 \, b^{2} d^{3} x^{2} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 16 \, b^{3} c^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{3} d^{3} x^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 96 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 96 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 192 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 32 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 32 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 64 \, b^{3} c^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b^{2} d^{3} x^{2} \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{3} c^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{2} d^{3} x^{2} \tan\left(2 \, b x\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b^{2} d^{3} x^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 16 \, b^{3} c^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} c^{2} d \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) - 8 \, b^{3} d^{3} x^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) + 16 \, b^{3} d^{3} x^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) + 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} - 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} + 48 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} + 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) + 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 48 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} + 8 \, b^{2} c d^{2} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 48 \, b^{3} c d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 96 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 96 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 192 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 48 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{2} c d^{2} x \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 32 \, b^{2} c d^{2} x \tan\left(2 \, b x\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b d^{3} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{2} c d^{2} x \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b d^{3} x \tan\left(2 \, b x\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) - 24 \, b^{3} c d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) + 48 \, b^{3} c d^{2} x^{2} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) - 4 \, b^{2} d^{3} x^{2} \tan\left(2 \, b x\right)^{2} + 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} - 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, b x\right)^{2} + 16 \, b^{3} c^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, b x\right)^{2} + 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) - 16 \, b^{2} d^{3} x^{2} \tan\left(2 \, b x\right) \tan\left(2 \, a\right) - 4 \, b^{2} d^{3} x^{2} \tan\left(2 \, a\right)^{2} - 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 16 \, b^{3} c^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} + 4 \, b^{2} c^{2} d \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} - 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 48 \, b^{3} c^{2} d x \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) + 32 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 32 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 64 \, b^{3} c^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 4 \, b^{2} d^{3} x^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{3} c^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b^{2} c^{2} d \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 16 \, b^{2} c^{2} d \tan\left(2 \, b x\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b c d^{2} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, b^{2} c^{2} d \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, b c d^{2} \tan\left(2 \, b x\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) - 24 \, b^{3} c^{2} d x \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) + 48 \, b^{3} c^{2} d x \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) - 8 \, b^{2} c d^{2} x \tan\left(2 \, b x\right)^{2} + 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) - 32 \, b^{2} c d^{2} x \tan\left(2 \, b x\right) \tan\left(2 \, a\right) - 2 \, b d^{3} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 8 \, b^{2} c d^{2} x \tan\left(2 \, a\right)^{2} - 2 \, b d^{3} x \tan\left(2 \, b x\right) \tan\left(2 \, a\right)^{2} - 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 16 \, b^{3} c^{3} \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) + 8 \, b^{2} c d^{2} x \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, b d^{3} x \tan\left(2 \, b x\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, b d^{3} x \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, b^{2} d^{3} x^{2} + 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) - 8 \, b^{3} c^{3} \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) + 16 \, b^{3} c^{3} \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) - 4 \, b^{2} c^{2} d \tan\left(2 \, b x\right)^{2} - 16 \, b^{2} c^{2} d \tan\left(2 \, b x\right) \tan\left(2 \, a\right) - 2 \, b c d^{2} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right) - 4 \, b^{2} c^{2} d \tan\left(2 \, a\right)^{2} - 2 \, b c d^{2} \tan\left(2 \, b x\right) \tan\left(2 \, a\right)^{2} + 4 \, b^{2} c^{2} d \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, b c d^{2} \tan\left(2 \, b x\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{3} \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, b c d^{2} \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, d^{3} \tan\left(2 \, b x\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{3} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, b^{2} c d^{2} x + 2 \, b d^{3} x \tan\left(2 \, b x\right) + 2 \, b d^{3} x \tan\left(2 \, a\right) + 4 \, b^{2} c^{2} d + 2 \, b c d^{2} \tan\left(2 \, b x\right) + d^{3} \tan\left(2 \, b x\right)^{2} + 2 \, b c d^{2} \tan\left(2 \, a\right) + 2 \, d^{3} \tan\left(2 \, b x\right) \tan\left(2 \, a\right) + d^{3} \tan\left(2 \, a\right)^{2}}{12 \, {\left(d^{7} x^{3} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{7} x^{3} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + d^{7} x^{3} \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{7} x^{3} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + c^{3} d^{4} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{7} x^{3} \tan\left(2 \, b x\right)^{2} + d^{7} x^{3} \tan\left(2 \, a\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + d^{7} x^{3} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(2 \, b x\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(2 \, a\right)^{2} + c^{3} d^{4} \tan\left(2 \, b x\right)^{2} \tan\left(2 \, a\right)^{2} + 3 \, c d^{6} x^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + c^{3} d^{4} \tan\left(2 \, b x\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + c^{3} d^{4} \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d^{7} x^{3} + 3 \, c^{2} d^{5} x \tan\left(2 \, b x\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(2 \, a\right)^{2} + 3 \, c^{2} d^{5} x \tan\left(\frac{2 \, b c}{d}\right)^{2} + 3 \, c d^{6} x^{2} + c^{3} d^{4} \tan\left(2 \, b x\right)^{2} + c^{3} d^{4} \tan\left(2 \, a\right)^{2} + c^{3} d^{4} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 3 \, c^{2} d^{5} x + c^{3} d^{4}\right)}}"," ",0,"-1/12*(8*b^3*d^3*x^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 - 8*b^3*d^3*x^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 16*b^3*d^3*x^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 16*b^3*d^3*x^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) + 16*b^3*d^3*x^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) - 16*b^3*d^3*x^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 - 16*b^3*d^3*x^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 24*b^3*c*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 - 24*b^3*c*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 48*b^3*c*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 - 8*b^3*d^3*x^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 + 8*b^3*d^3*x^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 - 16*b^3*d^3*x^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2 + 32*b^3*d^3*x^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) - 32*b^3*d^3*x^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 64*b^3*d^3*x^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 48*b^3*c*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) + 48*b^3*c*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) - 8*b^3*d^3*x^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 + 8*b^3*d^3*x^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 - 16*b^3*d^3*x^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*b*c/d)^2 - 48*b^3*c*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 - 48*b^3*c*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 8*b^3*d^3*x^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 - 8*b^3*d^3*x^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 16*b^3*d^3*x^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2 + 24*b^3*c^2*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 - 24*b^3*c^2*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 48*b^3*c^2*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 16*b^3*d^3*x^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a) + 16*b^3*d^3*x^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a) - 24*b^3*c*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 + 24*b^3*c*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 - 48*b^3*c*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2 - 16*b^3*d^3*x^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) - 16*b^3*d^3*x^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) + 96*b^3*c*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) - 96*b^3*c*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 192*b^3*c*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 16*b^3*d^3*x^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 16*b^3*d^3*x^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 48*b^3*c^2*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) + 48*b^3*c^2*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) - 24*b^3*c*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 + 24*b^3*c*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 - 48*b^3*c*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*b*c/d)^2 - 16*b^3*d^3*x^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 16*b^3*d^3*x^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 48*b^3*c^2*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 - 48*b^3*c^2*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 24*b^3*c*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 - 24*b^3*c*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 48*b^3*c*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2 + 4*b^2*d^3*x^2*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 8*b^3*c^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 - 8*b^3*c^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 16*b^3*c^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 8*b^3*d^3*x^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2 - 8*b^3*d^3*x^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2 + 16*b^3*d^3*x^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2 + 48*b^3*c*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a) + 48*b^3*c*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a) - 8*b^3*d^3*x^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 + 8*b^3*d^3*x^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 - 16*b^3*d^3*x^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2 - 24*b^3*c^2*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 + 24*b^3*c^2*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 - 48*b^3*c^2*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2 - 48*b^3*c*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) - 48*b^3*c*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) + 32*b^3*d^3*x^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) - 32*b^3*d^3*x^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 64*b^3*d^3*x^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d) + 96*b^3*c^2*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) - 96*b^3*c^2*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 192*b^3*c^2*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 48*b^3*c*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 48*b^3*c*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 16*b^3*c^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) + 16*b^3*c^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d) - 8*b^3*d^3*x^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 + 8*b^3*d^3*x^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 - 16*b^3*d^3*x^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d)^2 - 24*b^3*c^2*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 + 24*b^3*c^2*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 - 48*b^3*c^2*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*b*c/d)^2 - 48*b^3*c*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 48*b^3*c*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 16*b^3*c^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 - 16*b^3*c^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 + 24*b^3*c^2*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 - 24*b^3*c^2*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 48*b^3*c^2*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2 + 8*b^2*c*d^2*x*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 24*b^3*c*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2 - 24*b^3*c*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2 + 48*b^3*c*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2 + 16*b^3*d^3*x^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) + 16*b^3*d^3*x^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) + 48*b^3*c^2*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a) + 48*b^3*c^2*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a) - 24*b^3*c*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 + 24*b^3*c*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 - 48*b^3*c*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2 + 4*b^2*d^3*x^2*tan(2*b*x)^2*tan(2*a)^2 - 8*b^3*c^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 + 8*b^3*c^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)^2 - 16*b^3*c^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)^2 - 16*b^3*d^3*x^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) - 16*b^3*d^3*x^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) - 48*b^3*c^2*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) - 48*b^3*c^2*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) + 96*b^3*c*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) - 96*b^3*c*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 192*b^3*c*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d) + 32*b^3*c^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) - 32*b^3*c^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 64*b^3*c^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d) + 48*b^3*c^2*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 48*b^3*c^2*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) - 24*b^3*c*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 + 24*b^3*c*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 - 48*b^3*c*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d)^2 - 4*b^2*d^3*x^2*tan(2*b*x)^2*tan(2*b*c/d)^2 - 8*b^3*c^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 + 8*b^3*c^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d)^2 - 16*b^3*c^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2*tan(2*b*c/d)^2 - 48*b^3*c^2*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 48*b^3*c^2*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 16*b^2*d^3*x^2*tan(2*b*x)*tan(2*a)*tan(2*b*c/d)^2 - 4*b^2*d^3*x^2*tan(2*a)^2*tan(2*b*c/d)^2 + 8*b^3*c^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 - 8*b^3*c^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 16*b^3*c^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2 + 4*b^2*c^2*d*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 8*b^3*d^3*x^3*imag_part(cos_integral(4*b*x + 4*b*c/d)) - 8*b^3*d^3*x^3*imag_part(cos_integral(-4*b*x - 4*b*c/d)) + 16*b^3*d^3*x^3*sin_integral(4*(b*d*x + b*c)/d) + 24*b^3*c^2*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2 - 24*b^3*c^2*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2 + 48*b^3*c^2*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2 + 48*b^3*c*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) + 48*b^3*c*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) + 16*b^3*c^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*a) + 16*b^3*c^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*a) - 24*b^3*c^2*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 + 24*b^3*c^2*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 - 48*b^3*c^2*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2 + 8*b^2*c*d^2*x*tan(2*b*x)^2*tan(2*a)^2 - 48*b^3*c*d^2*x^2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) - 48*b^3*c*d^2*x^2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) - 16*b^3*c^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) - 16*b^3*c^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2*tan(2*b*c/d) + 96*b^3*c^2*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) - 96*b^3*c^2*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 192*b^3*c^2*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d) + 16*b^3*c^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 16*b^3*c^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) - 24*b^3*c^2*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 + 24*b^3*c^2*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 - 48*b^3*c^2*d*x*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d)^2 - 8*b^2*c*d^2*x*tan(2*b*x)^2*tan(2*b*c/d)^2 - 16*b^3*c^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 16*b^3*c^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 32*b^2*c*d^2*x*tan(2*b*x)*tan(2*a)*tan(2*b*c/d)^2 - 2*b*d^3*x*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 - 8*b^2*c*d^2*x*tan(2*a)^2*tan(2*b*c/d)^2 - 2*b*d^3*x*tan(2*b*x)*tan(2*a)^2*tan(2*b*c/d)^2 + 24*b^3*c*d^2*x^2*imag_part(cos_integral(4*b*x + 4*b*c/d)) - 24*b^3*c*d^2*x^2*imag_part(cos_integral(-4*b*x - 4*b*c/d)) + 48*b^3*c*d^2*x^2*sin_integral(4*(b*d*x + b*c)/d) - 4*b^2*d^3*x^2*tan(2*b*x)^2 + 8*b^3*c^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*x)^2 - 8*b^3*c^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*x)^2 + 16*b^3*c^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*x)^2 + 48*b^3*c^2*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) + 48*b^3*c^2*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) - 16*b^2*d^3*x^2*tan(2*b*x)*tan(2*a) - 4*b^2*d^3*x^2*tan(2*a)^2 - 8*b^3*c^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 + 8*b^3*c^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 - 16*b^3*c^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2 + 4*b^2*c^2*d*tan(2*b*x)^2*tan(2*a)^2 - 48*b^3*c^2*d*x*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) - 48*b^3*c^2*d*x*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) + 32*b^3*c^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) - 32*b^3*c^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 64*b^3*c^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d) + 4*b^2*d^3*x^2*tan(2*b*c/d)^2 - 8*b^3*c^3*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 + 8*b^3*c^3*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 - 16*b^3*c^3*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d)^2 - 4*b^2*c^2*d*tan(2*b*x)^2*tan(2*b*c/d)^2 - 16*b^2*c^2*d*tan(2*b*x)*tan(2*a)*tan(2*b*c/d)^2 - 2*b*c*d^2*tan(2*b*x)^2*tan(2*a)*tan(2*b*c/d)^2 - 4*b^2*c^2*d*tan(2*a)^2*tan(2*b*c/d)^2 - 2*b*c*d^2*tan(2*b*x)*tan(2*a)^2*tan(2*b*c/d)^2 + 24*b^3*c^2*d*x*imag_part(cos_integral(4*b*x + 4*b*c/d)) - 24*b^3*c^2*d*x*imag_part(cos_integral(-4*b*x - 4*b*c/d)) + 48*b^3*c^2*d*x*sin_integral(4*(b*d*x + b*c)/d) - 8*b^2*c*d^2*x*tan(2*b*x)^2 + 16*b^3*c^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) + 16*b^3*c^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) - 32*b^2*c*d^2*x*tan(2*b*x)*tan(2*a) - 2*b*d^3*x*tan(2*b*x)^2*tan(2*a) - 8*b^2*c*d^2*x*tan(2*a)^2 - 2*b*d^3*x*tan(2*b*x)*tan(2*a)^2 - 16*b^3*c^3*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) - 16*b^3*c^3*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) + 8*b^2*c*d^2*x*tan(2*b*c/d)^2 + 2*b*d^3*x*tan(2*b*x)*tan(2*b*c/d)^2 + 2*b*d^3*x*tan(2*a)*tan(2*b*c/d)^2 + 4*b^2*d^3*x^2 + 8*b^3*c^3*imag_part(cos_integral(4*b*x + 4*b*c/d)) - 8*b^3*c^3*imag_part(cos_integral(-4*b*x - 4*b*c/d)) + 16*b^3*c^3*sin_integral(4*(b*d*x + b*c)/d) - 4*b^2*c^2*d*tan(2*b*x)^2 - 16*b^2*c^2*d*tan(2*b*x)*tan(2*a) - 2*b*c*d^2*tan(2*b*x)^2*tan(2*a) - 4*b^2*c^2*d*tan(2*a)^2 - 2*b*c*d^2*tan(2*b*x)*tan(2*a)^2 + 4*b^2*c^2*d*tan(2*b*c/d)^2 + 2*b*c*d^2*tan(2*b*x)*tan(2*b*c/d)^2 + d^3*tan(2*b*x)^2*tan(2*b*c/d)^2 + 2*b*c*d^2*tan(2*a)*tan(2*b*c/d)^2 + 2*d^3*tan(2*b*x)*tan(2*a)*tan(2*b*c/d)^2 + d^3*tan(2*a)^2*tan(2*b*c/d)^2 + 8*b^2*c*d^2*x + 2*b*d^3*x*tan(2*b*x) + 2*b*d^3*x*tan(2*a) + 4*b^2*c^2*d + 2*b*c*d^2*tan(2*b*x) + d^3*tan(2*b*x)^2 + 2*b*c*d^2*tan(2*a) + 2*d^3*tan(2*b*x)*tan(2*a) + d^3*tan(2*a)^2)/(d^7*x^3*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 3*c*d^6*x^2*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + d^7*x^3*tan(2*b*x)^2*tan(2*a)^2 + d^7*x^3*tan(2*b*x)^2*tan(2*b*c/d)^2 + d^7*x^3*tan(2*a)^2*tan(2*b*c/d)^2 + 3*c^2*d^5*x*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + 3*c*d^6*x^2*tan(2*b*x)^2*tan(2*a)^2 + 3*c*d^6*x^2*tan(2*b*x)^2*tan(2*b*c/d)^2 + 3*c*d^6*x^2*tan(2*a)^2*tan(2*b*c/d)^2 + c^3*d^4*tan(2*b*x)^2*tan(2*a)^2*tan(2*b*c/d)^2 + d^7*x^3*tan(2*b*x)^2 + d^7*x^3*tan(2*a)^2 + 3*c^2*d^5*x*tan(2*b*x)^2*tan(2*a)^2 + d^7*x^3*tan(2*b*c/d)^2 + 3*c^2*d^5*x*tan(2*b*x)^2*tan(2*b*c/d)^2 + 3*c^2*d^5*x*tan(2*a)^2*tan(2*b*c/d)^2 + 3*c*d^6*x^2*tan(2*b*x)^2 + 3*c*d^6*x^2*tan(2*a)^2 + c^3*d^4*tan(2*b*x)^2*tan(2*a)^2 + 3*c*d^6*x^2*tan(2*b*c/d)^2 + c^3*d^4*tan(2*b*x)^2*tan(2*b*c/d)^2 + c^3*d^4*tan(2*a)^2*tan(2*b*c/d)^2 + d^7*x^3 + 3*c^2*d^5*x*tan(2*b*x)^2 + 3*c^2*d^5*x*tan(2*a)^2 + 3*c^2*d^5*x*tan(2*b*c/d)^2 + 3*c*d^6*x^2 + c^3*d^4*tan(2*b*x)^2 + c^3*d^4*tan(2*a)^2 + c^3*d^4*tan(2*b*c/d)^2 + 3*c^2*d^5*x + c^3*d^4)","C",0
88,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right)^{2} \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)^2*sin(b*x + a)^3, x)","F",0
89,1,531,0,0.871214," ","integrate((d*x+c)^4*cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(625 \, b^{4} d^{4} x^{4} + 2500 \, b^{4} c d^{3} x^{3} + 3750 \, b^{4} c^{2} d^{2} x^{2} + 2500 \, b^{4} c^{3} d x + 625 \, b^{4} c^{4} - 300 \, b^{2} d^{4} x^{2} - 600 \, b^{2} c d^{3} x - 300 \, b^{2} c^{2} d^{2} + 24 \, d^{4}\right)} \cos\left(5 \, b x + 5 \, a\right)}{50000 \, b^{5}} - \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)}{1296 \, b^{5}} - \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)}{8 \, b^{5}} - \frac{{\left(25 \, b^{3} d^{4} x^{3} + 75 \, b^{3} c d^{3} x^{2} + 75 \, b^{3} c^{2} d^{2} x + 25 \, b^{3} c^{3} d - 6 \, b d^{4} x - 6 \, b c d^{3}\right)} \sin\left(5 \, b x + 5 \, a\right)}{2500 \, 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)}{108 \, b^{5}} + \frac{{\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)}{2 \, b^{5}}"," ",0,"1/50000*(625*b^4*d^4*x^4 + 2500*b^4*c*d^3*x^3 + 3750*b^4*c^2*d^2*x^2 + 2500*b^4*c^3*d*x + 625*b^4*c^4 - 300*b^2*d^4*x^2 - 600*b^2*c*d^3*x - 300*b^2*c^2*d^2 + 24*d^4)*cos(5*b*x + 5*a)/b^5 - 1/1296*(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 - 1/8*(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 - 1/2500*(25*b^3*d^4*x^3 + 75*b^3*c*d^3*x^2 + 75*b^3*c^2*d^2*x + 25*b^3*c^3*d - 6*b*d^4*x - 6*b*c*d^3)*sin(5*b*x + 5*a)/b^5 + 1/108*(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 + 1/2*(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
90,1,351,0,0.280222," ","integrate((d*x+c)^3*cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(25 \, b^{3} d^{3} x^{3} + 75 \, b^{3} c d^{2} x^{2} + 75 \, b^{3} c^{2} d x + 25 \, b^{3} c^{3} - 6 \, b d^{3} x - 6 \, b c d^{2}\right)} \cos\left(5 \, b x + 5 \, a\right)}{2000 \, b^{4}} - \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)}{144 \, b^{4}} - \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)}{8 \, b^{4}} - \frac{3 \, {\left(25 \, b^{2} d^{3} x^{2} + 50 \, b^{2} c d^{2} x + 25 \, b^{2} c^{2} d - 2 \, d^{3}\right)} \sin\left(5 \, b x + 5 \, a\right)}{10000 \, 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)}{432 \, 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)}{8 \, b^{4}}"," ",0,"1/2000*(25*b^3*d^3*x^3 + 75*b^3*c*d^2*x^2 + 75*b^3*c^2*d*x + 25*b^3*c^3 - 6*b*d^3*x - 6*b*c*d^2)*cos(5*b*x + 5*a)/b^4 - 1/144*(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 - 1/8*(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 - 3/10000*(25*b^2*d^3*x^2 + 50*b^2*c*d^2*x + 25*b^2*c^2*d - 2*d^3)*sin(5*b*x + 5*a)/b^4 + 1/432*(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 + 3/8*(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
91,1,209,0,0.251404," ","integrate((d*x+c)^2*cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(25 \, b^{2} d^{2} x^{2} + 50 \, b^{2} c d x + 25 \, b^{2} c^{2} - 2 \, d^{2}\right)} \cos\left(5 \, b x + 5 \, a\right)}{2000 \, b^{3}} - \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)}{432 \, b^{3}} - \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)}{8 \, b^{3}} - \frac{{\left(b d^{2} x + b c d\right)} \sin\left(5 \, b x + 5 \, a\right)}{200 \, b^{3}} + \frac{{\left(b d^{2} x + b c d\right)} \sin\left(3 \, b x + 3 \, a\right)}{72 \, b^{3}} + \frac{{\left(b d^{2} x + b c d\right)} \sin\left(b x + a\right)}{4 \, b^{3}}"," ",0,"1/2000*(25*b^2*d^2*x^2 + 50*b^2*c*d*x + 25*b^2*c^2 - 2*d^2)*cos(5*b*x + 5*a)/b^3 - 1/432*(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 - 1/8*(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 - 1/200*(b*d^2*x + b*c*d)*sin(5*b*x + 5*a)/b^3 + 1/72*(b*d^2*x + b*c*d)*sin(3*b*x + 3*a)/b^3 + 1/4*(b*d^2*x + b*c*d)*sin(b*x + a)/b^3","A",0
92,1,106,0,1.170560," ","integrate((d*x+c)*cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(b d x + b c\right)} \cos\left(5 \, b x + 5 \, a\right)}{80 \, b^{2}} - \frac{{\left(b d x + b c\right)} \cos\left(3 \, b x + 3 \, a\right)}{48 \, b^{2}} - \frac{{\left(b d x + b c\right)} \cos\left(b x + a\right)}{8 \, b^{2}} - \frac{d \sin\left(5 \, b x + 5 \, a\right)}{400 \, b^{2}} + \frac{d \sin\left(3 \, b x + 3 \, a\right)}{144 \, b^{2}} + \frac{d \sin\left(b x + a\right)}{8 \, b^{2}}"," ",0,"1/80*(b*d*x + b*c)*cos(5*b*x + 5*a)/b^2 - 1/48*(b*d*x + b*c)*cos(3*b*x + 3*a)/b^2 - 1/8*(b*d*x + b*c)*cos(b*x + a)/b^2 - 1/400*d*sin(5*b*x + 5*a)/b^2 + 1/144*d*sin(3*b*x + 3*a)/b^2 + 1/8*d*sin(b*x + a)/b^2","A",0
93,-1,0,0,0.000000," ","integrate(cos(b*x+a)^2*sin(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,-1,0,0,0.000000," ","integrate(cos(b*x+a)^2*sin(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,-1,0,0,0.000000," ","integrate(cos(b*x+a)^2*sin(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
96,-1,0,0,0.000000," ","integrate(cos(b*x+a)^2*sin(b*x+a)^3/(d*x+c)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
97,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)*cot(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right) \cot\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)*cot(b*x + a), x)","F",0
98,0,0,0,0.000000," ","integrate((d*x+c)^4*cos(b*x+a)*cot(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \cos\left(b x + a\right) \cot\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^4*cos(b*x + a)*cot(b*x + a), x)","F",0
99,0,0,0,0.000000," ","integrate((d*x+c)^3*cos(b*x+a)*cot(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \cos\left(b x + a\right) \cot\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*cos(b*x + a)*cot(b*x + a), x)","F",0
100,0,0,0,0.000000," ","integrate((d*x+c)^2*cos(b*x+a)*cot(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \cos\left(b x + a\right) \cot\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*cos(b*x + a)*cot(b*x + a), x)","F",0
101,0,0,0,0.000000," ","integrate((d*x+c)*cos(b*x+a)*cot(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \cos\left(b x + a\right) \cot\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)*cos(b*x + a)*cot(b*x + a), x)","F",0
102,0,0,0,0.000000," ","integrate(cos(b*x+a)*cot(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\cos\left(b x + a\right) \cot\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(cos(b*x + a)*cot(b*x + a)/(d*x + c), x)","F",0
103,0,0,0,0.000000," ","integrate(cos(b*x+a)*cot(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\cos\left(b x + a\right) \cot\left(b x + a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(cos(b*x + a)*cot(b*x + a)/(d*x + c)^2, x)","F",0
104,0,0,0,0.000000," ","integrate((d*x+c)^m*cot(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cot\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*cot(b*x + a)^2, x)","F",0
105,0,0,0,0.000000," ","integrate((d*x+c)^4*cot(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \cot\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^4*cot(b*x + a)^2, x)","F",0
106,0,0,0,0.000000," ","integrate((d*x+c)^3*cot(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \cot\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*cot(b*x + a)^2, x)","F",0
107,0,0,0,0.000000," ","integrate((d*x+c)^2*cot(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \cot\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*cot(b*x + a)^2, x)","F",0
108,1,1375,0,2.528401," ","integrate((d*x+c)*cot(b*x+a)^2,x, algorithm=""giac"")","-\frac{b^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + b^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{2} c x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{2} c x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - b^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right) - b^{2} d x^{2} \tan\left(\frac{1}{2} \, a\right) - b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b^{2} c x \tan\left(\frac{1}{2} \, b x\right) + b d x \tan\left(\frac{1}{2} \, b x\right)^{2} - 2 \, b^{2} c x \tan\left(\frac{1}{2} \, a\right) + 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^2*d*x^2*tan(1/2*b*x)^2*tan(1/2*a) + b^2*d*x^2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*b^2*c*x*tan(1/2*b*x)^2*tan(1/2*a) + 2*b^2*c*x*tan(1/2*b*x)*tan(1/2*a)^2 - b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^2 - b^2*d*x^2*tan(1/2*b*x) - b^2*d*x^2*tan(1/2*a) - b*c*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*b^2*c*x*tan(1/2*b*x) + b*d*x*tan(1/2*b*x)^2 - 2*b^2*c*x*tan(1/2*a) + 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
109,0,0,0,0.000000," ","integrate(cot(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{\cot\left(b x + a\right)^{2}}{d x + c}\,{d x}"," ",0,"integrate(cot(b*x + a)^2/(d*x + c), x)","F",0
110,0,0,0,0.000000," ","integrate(cot(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\cot\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(cot(b*x + a)^2/(d*x + c)^2, x)","F",0
111,0,0,0,0.000000," ","integrate((d*x+c)^m*cot(b*x+a)^2*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cot\left(b x + a\right)^{2} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*cot(b*x + a)^2*csc(b*x + a), x)","F",0
112,0,0,0,0.000000," ","integrate((d*x+c)^4*cot(b*x+a)^2*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \cot\left(b x + a\right)^{2} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^4*cot(b*x + a)^2*csc(b*x + a), x)","F",0
113,0,0,0,0.000000," ","integrate((d*x+c)^3*cot(b*x+a)^2*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \cot\left(b x + a\right)^{2} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*cot(b*x + a)^2*csc(b*x + a), x)","F",0
114,0,0,0,0.000000," ","integrate((d*x+c)^2*cot(b*x+a)^2*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \cot\left(b x + a\right)^{2} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*cot(b*x + a)^2*csc(b*x + a), x)","F",0
115,0,0,0,0.000000," ","integrate((d*x+c)*cot(b*x+a)^2*csc(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \cot\left(b x + a\right)^{2} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)*cot(b*x + a)^2*csc(b*x + a), x)","F",0
116,0,0,0,0.000000," ","integrate(cot(b*x+a)^2*csc(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\cot\left(b x + a\right)^{2} \csc\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(cot(b*x + a)^2*csc(b*x + a)/(d*x + c), x)","F",0
117,0,0,0,0.000000," ","integrate(cot(b*x+a)^2*csc(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\cot\left(b x + a\right)^{2} \csc\left(b x + a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(cot(b*x + a)^2*csc(b*x + a)/(d*x + c)^2, x)","F",0
118,1,2465,0,3.083999," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^2*sin(b*x+a),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{3 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{3 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{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}}\right)}}{d^{2}} + \frac{9 \, {\left(-\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}}\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(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}}\right)}}{d^{3}} + \frac{27 \, {\left(\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}}\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(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{9 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{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{18 \, \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{18 \, \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)) + 3*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)) - 3*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*(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 + 9*(-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(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)*(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 + 27*(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(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)*(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) + 9*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(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 + 18*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 18*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
119,1,1538,0,4.780268," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^2*sin(b*x+a),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{3 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{3 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{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}}\right)}}{d^{2}} + \frac{9 \, {\left(-\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}}\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(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{9 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{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{18 \, \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{18 \, \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)) + 3*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)) - 3*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*(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 + 9*(-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(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)*(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) + 9*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(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 + 18*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 18*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
120,1,842,0,2.782799," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^2*sin(b*x+a),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(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{9 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{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{3 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{3 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{18 \, \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{18 \, \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)*(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) + 9*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(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)) + 3*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)) - 3*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 + 18*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 18*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
121,1,842,0,4.918013," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^2*sin(b*x+a),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(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{9 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{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{3 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{3 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{18 \, \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{18 \, \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)*(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) + 9*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(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)) + 3*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)) - 3*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 + 18*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 18*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
122,1,1538,0,1.931727," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^2*sin(b*x+a),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{3 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{3 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{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}}\right)}}{d^{2}} + \frac{9 \, {\left(-\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}}\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(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{9 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{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{18 \, \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{18 \, \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)) + 3*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)) - 3*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*(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 + 9*(-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(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)*(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) + 9*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(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 + 18*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 18*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
123,1,2465,0,4.903644," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^2*sin(b*x+a),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{3 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{3 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{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}}\right)}}{d^{2}} + \frac{9 \, {\left(-\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}}\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(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}}\right)}}{d^{3}} + \frac{27 \, {\left(\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}}\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(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{9 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{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{18 \, \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{18 \, \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)) + 3*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)) - 3*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*(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 + 9*(-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(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)*(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 + 27*(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(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)*(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) + 9*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(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 + 18*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 18*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
124,1,1358,0,3.297333," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{17920 \, {\left(\frac{\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{\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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + 8 \, \sqrt{d x + c}\right)} c^{3} + 56 \, c d^{2} {\left(\frac{512 \, {\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{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{15 \, {\left(\frac{\sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} + d^{3} {\left(\frac{4096 \, {\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{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} + 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} + \frac{4 \, {\left(64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 192 i \, \sqrt{d x + c} b^{2} c^{2} d + 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 72 \, \sqrt{d x + c} b c d^{2} - 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}} - \frac{35 \, {\left(\frac{\sqrt{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} - 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} + \frac{4 \, {\left(-64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 192 i \, \sqrt{d x + c} b^{2} c^{2} d + 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 72 \, \sqrt{d x + c} b c d^{2} + 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}}\right)} - 2240 \, {\left(\frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - 64 \, {\left(d x + c\right)}^{\frac{3}{2}} + 192 \, \sqrt{d x + c} c - \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c^{2}}{573440 \, d}"," ",0,"1/573440*(17920*(sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 8*sqrt(d*x + c))*c^3 + 56*c*d^2*(512*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)/d^2 + 15*(sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + 15*(sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2) + d^3*(4096*(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(2)*sqrt(pi)*(512*b^3*c^3 + 192*I*b^2*c^2*d - 72*b*c*d^2 - 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) + 4*(64*I*(d*x + c)^(5/2)*b^2*d - 192*I*(d*x + c)^(3/2)*b^2*c*d + 192*I*sqrt(d*x + c)*b^2*c^2*d + 40*(d*x + c)^(3/2)*b*d^2 - 72*sqrt(d*x + c)*b*c*d^2 - 15*I*sqrt(d*x + c)*d^3)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^3)/d^3 - 35*(sqrt(2)*sqrt(pi)*(512*b^3*c^3 - 192*I*b^2*c^2*d - 72*b*c*d^2 + 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) + 4*(-64*I*(d*x + c)^(5/2)*b^2*d + 192*I*(d*x + c)^(3/2)*b^2*c*d - 192*I*sqrt(d*x + c)*b^2*c^2*d + 40*(d*x + c)^(3/2)*b*d^2 - 72*sqrt(d*x + c)*b*c*d^2 + 15*I*sqrt(d*x + c)*d^3)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^3)/d^3) - 2240*(3*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 3*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 64*(d*x + c)^(3/2) + 192*sqrt(d*x + c)*c - 12*I*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 12*I*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c^2)/d","C",0
125,1,842,0,1.994821," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{960 \, {\left(\frac{\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{\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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + 8 \, \sqrt{d x + c}\right)} c^{2} + d^{2} {\left(\frac{512 \, {\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{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{15 \, {\left(\frac{\sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} - 80 \, {\left(\frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - 64 \, {\left(d x + c\right)}^{\frac{3}{2}} + 192 \, \sqrt{d x + c} c - \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c}{30720 \, d}"," ",0,"1/30720*(960*(sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 8*sqrt(d*x + c))*c^2 + d^2*(512*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)/d^2 + 15*(sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + 15*(sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2) - 80*(3*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 3*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 64*(d*x + c)^(3/2) + 192*sqrt(d*x + c)*c - 12*I*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 12*I*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c)/d","C",0
126,1,452,0,0.991368," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - 24 \, {\left(\frac{\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{\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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + 8 \, \sqrt{d x + c}\right)} c - 64 \, {\left(d x + c\right)}^{\frac{3}{2}} + 192 \, \sqrt{d x + c} c - \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}}{768 \, d}"," ",0,"-1/768*(3*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 3*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 24*(sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 8*sqrt(d*x + c))*c - 64*(d*x + c)^(3/2) + 192*sqrt(d*x + c)*c - 12*I*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 12*I*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)/d","C",0
127,1,452,0,1.006097," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - 24 \, {\left(\frac{\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{\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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + 8 \, \sqrt{d x + c}\right)} c - 64 \, {\left(d x + c\right)}^{\frac{3}{2}} + 192 \, \sqrt{d x + c} c - \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}}{768 \, d}"," ",0,"-1/768*(3*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 3*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 24*(sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 8*sqrt(d*x + c))*c - 64*(d*x + c)^(3/2) + 192*sqrt(d*x + c)*c - 12*I*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 12*I*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)/d","C",0
128,1,842,0,4.122878," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{960 \, {\left(\frac{\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{\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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + 8 \, \sqrt{d x + c}\right)} c^{2} + d^{2} {\left(\frac{512 \, {\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{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{15 \, {\left(\frac{\sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} - 80 \, {\left(\frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - 64 \, {\left(d x + c\right)}^{\frac{3}{2}} + 192 \, \sqrt{d x + c} c - \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c}{30720 \, d}"," ",0,"1/30720*(960*(sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 8*sqrt(d*x + c))*c^2 + d^2*(512*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)/d^2 + 15*(sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + 15*(sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2) - 80*(3*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 3*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 64*(d*x + c)^(3/2) + 192*sqrt(d*x + c)*c - 12*I*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 12*I*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c)/d","C",0
129,1,1358,0,4.929444," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{17920 \, {\left(\frac{\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{\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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + 8 \, \sqrt{d x + c}\right)} c^{3} + 56 \, c d^{2} {\left(\frac{512 \, {\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{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{15 \, {\left(\frac{\sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 \, {\left(-8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} + d^{3} {\left(\frac{4096 \, {\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{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} + 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} + \frac{4 \, {\left(64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 192 i \, \sqrt{d x + c} b^{2} c^{2} d + 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 72 \, \sqrt{d x + c} b c d^{2} - 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}} - \frac{35 \, {\left(\frac{\sqrt{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} - 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} + \frac{4 \, {\left(-64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 192 i \, \sqrt{d x + c} b^{2} c^{2} d + 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 72 \, \sqrt{d x + c} b c d^{2} + 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}}\right)} - 2240 \, {\left(\frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{3 \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - 64 \, {\left(d x + c\right)}^{\frac{3}{2}} + 192 \, \sqrt{d x + c} c - \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{12 i \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c^{2}}{573440 \, d}"," ",0,"1/573440*(17920*(sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 8*sqrt(d*x + c))*c^3 + 56*c*d^2*(512*(3*(d*x + c)^(5/2) - 10*(d*x + c)^(3/2)*c + 15*sqrt(d*x + c)*c^2)/d^2 + 15*(sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + 15*(sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*(-8*I*(d*x + c)^(3/2)*b*d + 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2) + d^3*(4096*(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(2)*sqrt(pi)*(512*b^3*c^3 + 192*I*b^2*c^2*d - 72*b*c*d^2 - 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) + 4*(64*I*(d*x + c)^(5/2)*b^2*d - 192*I*(d*x + c)^(3/2)*b^2*c*d + 192*I*sqrt(d*x + c)*b^2*c^2*d + 40*(d*x + c)^(3/2)*b*d^2 - 72*sqrt(d*x + c)*b*c*d^2 - 15*I*sqrt(d*x + c)*d^3)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^3)/d^3 - 35*(sqrt(2)*sqrt(pi)*(512*b^3*c^3 - 192*I*b^2*c^2*d - 72*b*c*d^2 + 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) + 4*(-64*I*(d*x + c)^(5/2)*b^2*d + 192*I*(d*x + c)^(3/2)*b^2*c*d - 192*I*sqrt(d*x + c)*b^2*c^2*d + 40*(d*x + c)^(3/2)*b*d^2 - 72*sqrt(d*x + c)*b*c*d^2 + 15*I*sqrt(d*x + c)*d^3)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^3)/d^3) - 2240*(3*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 3*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 64*(d*x + c)^(3/2) + 192*sqrt(d*x + c)*c - 12*I*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 12*I*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c^2)/d","C",0
130,1,3689,0,15.988183," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{1800 \, {\left(-\frac{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 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{30 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{30 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{5 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{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 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{9 \, {\left(-\frac{i \, \sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} + 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 i \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{125 \, {\left(\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}}\right)}}{d^{2}} + \frac{2250 \, {\left(\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}}\right)}}{d^{2}} + \frac{2250 \, {\left(-\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}}\right)}}{d^{2}} + \frac{125 \, {\left(-\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}}\right)}}{d^{2}} + \frac{9 \, {\left(\frac{i \, \sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} - 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 i \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} + d^{3} {\left(\frac{27 \, {\left(\frac{i \, \sqrt{10} \sqrt{\pi} {\left(200 \, b^{3} c^{3} + 60 i \, b^{2} c^{2} d - 18 \, b c d^{2} - 3 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{10 i \, {\left(-20 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 60 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 60 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} + 3 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}} + \frac{125 \, {\left(-\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}}\right)}}{d^{3}} + \frac{6750 \, {\left(-\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}}\right)}}{d^{3}} + \frac{6750 \, {\left(\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}}\right)}}{d^{3}} + \frac{125 \, {\left(\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}}\right)}}{d^{3}} + \frac{27 \, {\left(-\frac{i \, \sqrt{10} \sqrt{\pi} {\left(200 \, b^{3} c^{3} - 60 i \, b^{2} c^{2} d - 18 \, b c d^{2} + 3 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{10 i \, {\left(-20 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 60 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 60 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} + 3 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}}\right)} + 180 \, {\left(\frac{9 i \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{25 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{450 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{450 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{25 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{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{90 \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} + \frac{150 \, \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{900 \, \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{900 \, \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{150 \, \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{90 \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}\right)} c^{2}}{864000 \, d}"," ",0,"-1/864000*(1800*(-3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) + 30*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)) - 30*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)) - 5*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)) + 3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^3 + 18*c*d^2*(9*(-I*sqrt(10)*sqrt(pi)*(100*b^2*c^2 + 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*I*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^2)/d^2 + 125*(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 + 2250*(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 + 2250*(-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 + 125*(-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*(I*sqrt(10)*sqrt(pi)*(100*b^2*c^2 - 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*I*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^2)/d^2) + d^3*(27*(I*sqrt(10)*sqrt(pi)*(200*b^3*c^3 + 60*I*b^2*c^2*d - 18*b*c*d^2 - 3*I*d^3)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 10*I*(-20*I*(d*x + c)^(5/2)*b^2*d + 60*I*(d*x + c)^(3/2)*b^2*c*d - 60*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 + 3*I*sqrt(d*x + c)*d^3)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^3)/d^3 + 125*(-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 + 6750*(-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 + 6750*(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 + 125*(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(10)*sqrt(pi)*(200*b^3*c^3 - 60*I*b^2*c^2*d - 18*b*c*d^2 + 3*I*d^3)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 10*I*(-20*I*(d*x + c)^(5/2)*b^2*d + 60*I*(d*x + c)^(3/2)*b^2*c*d - 60*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 + 3*I*sqrt(d*x + c)*d^3)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^3)/d^3) + 180*(9*I*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - 25*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) - 450*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) + 450*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) + 25*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(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 90*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b - 90*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)*c^2)/d","C",0
131,1,2300,0,4.626976," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{300 \, {\left(-\frac{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 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{30 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{30 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{5 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{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 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{9 \, {\left(-\frac{i \, \sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} + 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 i \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{125 \, {\left(\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}}\right)}}{d^{2}} + \frac{2250 \, {\left(\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}}\right)}}{d^{2}} + \frac{2250 \, {\left(-\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}}\right)}}{d^{2}} + \frac{125 \, {\left(-\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}}\right)}}{d^{2}} + \frac{9 \, {\left(\frac{i \, \sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} - 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 i \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} + 20 \, {\left(\frac{9 i \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{25 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{450 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{450 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{25 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{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{90 \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} + \frac{150 \, \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{900 \, \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{900 \, \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{150 \, \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{90 \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}\right)} c}{144000 \, d}"," ",0,"-1/144000*(300*(-3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) + 30*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)) - 30*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)) - 5*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)) + 3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^2 + d^2*(9*(-I*sqrt(10)*sqrt(pi)*(100*b^2*c^2 + 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*I*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^2)/d^2 + 125*(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 + 2250*(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 + 2250*(-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 + 125*(-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*(I*sqrt(10)*sqrt(pi)*(100*b^2*c^2 - 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*I*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^2)/d^2) + 20*(9*I*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - 25*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) - 450*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) + 450*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) + 25*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(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 90*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b - 90*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)*c)/d","C",0
132,1,1258,0,2.743065," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{9 i \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{25 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{450 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{450 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{25 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{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + 30 \, {\left(-\frac{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 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{30 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{30 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{5 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{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}\right)} c - \frac{90 \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} + \frac{150 \, \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{900 \, \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{900 \, \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{150 \, \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{90 \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}}{14400 \, d}"," ",0,"-1/14400*(9*I*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - 25*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) - 450*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) + 450*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) + 25*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(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 30*(-3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) + 30*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)) - 30*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)) - 5*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)) + 3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c - 90*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b - 90*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)/d","C",0
133,1,1258,0,2.848561," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{9 i \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{25 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{450 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{450 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{25 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{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + 30 \, {\left(-\frac{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 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{30 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{30 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{5 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{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}\right)} c - \frac{90 \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} + \frac{150 \, \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{900 \, \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{900 \, \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{150 \, \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{90 \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}}{14400 \, d}"," ",0,"-1/14400*(9*I*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - 25*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) - 450*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) + 450*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) + 25*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(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 30*(-3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) + 30*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)) - 30*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)) - 5*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)) + 3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c - 90*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b - 90*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)/d","C",0
134,1,2300,0,4.213732," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{300 \, {\left(-\frac{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 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{30 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{30 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{5 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{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 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{9 \, {\left(-\frac{i \, \sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} + 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 i \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{125 \, {\left(\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}}\right)}}{d^{2}} + \frac{2250 \, {\left(\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}}\right)}}{d^{2}} + \frac{2250 \, {\left(-\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}}\right)}}{d^{2}} + \frac{125 \, {\left(-\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}}\right)}}{d^{2}} + \frac{9 \, {\left(\frac{i \, \sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} - 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 i \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} + 20 \, {\left(\frac{9 i \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{25 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{450 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{450 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{25 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{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{90 \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} + \frac{150 \, \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{900 \, \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{900 \, \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{150 \, \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{90 \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}\right)} c}{144000 \, d}"," ",0,"-1/144000*(300*(-3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) + 30*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)) - 30*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)) - 5*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)) + 3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^2 + d^2*(9*(-I*sqrt(10)*sqrt(pi)*(100*b^2*c^2 + 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*I*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^2)/d^2 + 125*(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 + 2250*(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 + 2250*(-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 + 125*(-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*(I*sqrt(10)*sqrt(pi)*(100*b^2*c^2 - 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*I*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^2)/d^2) + 20*(9*I*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - 25*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) - 450*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) + 450*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) + 25*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(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 90*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b - 90*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)*c)/d","C",0
135,1,3689,0,7.576191," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{1800 \, {\left(-\frac{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 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{30 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{30 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{5 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{3 i \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 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{9 \, {\left(-\frac{i \, \sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} + 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 i \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{125 \, {\left(\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}}\right)}}{d^{2}} + \frac{2250 \, {\left(\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}}\right)}}{d^{2}} + \frac{2250 \, {\left(-\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}}\right)}}{d^{2}} + \frac{125 \, {\left(-\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}}\right)}}{d^{2}} + \frac{9 \, {\left(\frac{i \, \sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} - 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 i \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} + d^{3} {\left(\frac{27 \, {\left(\frac{i \, \sqrt{10} \sqrt{\pi} {\left(200 \, b^{3} c^{3} + 60 i \, b^{2} c^{2} d - 18 \, b c d^{2} - 3 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{10 i \, {\left(-20 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 60 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 60 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} + 3 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}} + \frac{125 \, {\left(-\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}}\right)}}{d^{3}} + \frac{6750 \, {\left(-\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}}\right)}}{d^{3}} + \frac{6750 \, {\left(\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}}\right)}}{d^{3}} + \frac{125 \, {\left(\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}}\right)}}{d^{3}} + \frac{27 \, {\left(-\frac{i \, \sqrt{10} \sqrt{\pi} {\left(200 \, b^{3} c^{3} - 60 i \, b^{2} c^{2} d - 18 \, b c d^{2} + 3 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{10 i \, {\left(-20 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 60 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 60 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} + 3 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}}\right)} + 180 \, {\left(\frac{9 i \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{25 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{450 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{450 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{25 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{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{90 \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} + \frac{150 \, \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{900 \, \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{900 \, \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{150 \, \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{90 \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}\right)} c^{2}}{864000 \, d}"," ",0,"-1/864000*(1800*(-3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) + 30*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)) - 30*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)) - 5*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)) + 3*I*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^3 + 18*c*d^2*(9*(-I*sqrt(10)*sqrt(pi)*(100*b^2*c^2 + 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*I*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^2)/d^2 + 125*(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 + 2250*(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 + 2250*(-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 + 125*(-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*(I*sqrt(10)*sqrt(pi)*(100*b^2*c^2 - 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*I*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^2)/d^2) + d^3*(27*(I*sqrt(10)*sqrt(pi)*(200*b^3*c^3 + 60*I*b^2*c^2*d - 18*b*c*d^2 - 3*I*d^3)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 10*I*(-20*I*(d*x + c)^(5/2)*b^2*d + 60*I*(d*x + c)^(3/2)*b^2*c*d - 60*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 + 3*I*sqrt(d*x + c)*d^3)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^3)/d^3 + 125*(-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 + 6750*(-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 + 6750*(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 + 125*(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(10)*sqrt(pi)*(200*b^3*c^3 - 60*I*b^2*c^2*d - 18*b*c*d^2 + 3*I*d^3)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 10*I*(-20*I*(d*x + c)^(5/2)*b^2*d + 60*I*(d*x + c)^(3/2)*b^2*c*d - 60*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 + 3*I*sqrt(d*x + c)*d^3)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^3)/d^3) + 180*(9*I*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - 25*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) - 450*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) + 450*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) + 25*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(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 90*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b + 900*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b - 90*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)*c^2)/d","C",0
136,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right)^{3} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)^3*sin(b*x + a), x)","F",0
137,1,361,0,0.260829," ","integrate((d*x+c)^4*cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{{\left(32 \, b^{4} d^{4} x^{4} + 128 \, b^{4} c d^{3} x^{3} + 192 \, b^{4} c^{2} d^{2} x^{2} + 128 \, b^{4} c^{3} d x + 32 \, b^{4} c^{4} - 24 \, b^{2} d^{4} x^{2} - 48 \, b^{2} c d^{3} x - 24 \, b^{2} c^{2} d^{2} + 3 \, d^{4}\right)} \cos\left(4 \, b x + 4 \, a\right)}{1024 \, 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)} \cos\left(2 \, b x + 2 \, a\right)}{16 \, b^{5}} + \frac{{\left(8 \, b^{3} d^{4} x^{3} + 24 \, b^{3} c d^{3} x^{2} + 24 \, b^{3} c^{2} d^{2} x + 8 \, b^{3} c^{3} d - 3 \, b d^{4} x - 3 \, b c d^{3}\right)} \sin\left(4 \, b x + 4 \, a\right)}{256 \, b^{5}} + \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)} \sin\left(2 \, b x + 2 \, a\right)}{8 \, b^{5}}"," ",0,"-1/1024*(32*b^4*d^4*x^4 + 128*b^4*c*d^3*x^3 + 192*b^4*c^2*d^2*x^2 + 128*b^4*c^3*d*x + 32*b^4*c^4 - 24*b^2*d^4*x^2 - 48*b^2*c*d^3*x - 24*b^2*c^2*d^2 + 3*d^4)*cos(4*b*x + 4*a)/b^5 - 1/16*(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)*cos(2*b*x + 2*a)/b^5 + 1/256*(8*b^3*d^4*x^3 + 24*b^3*c*d^3*x^2 + 24*b^3*c^2*d^2*x + 8*b^3*c^3*d - 3*b*d^4*x - 3*b*c*d^3)*sin(4*b*x + 4*a)/b^5 + 1/8*(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)*sin(2*b*x + 2*a)/b^5","A",0
138,1,241,0,4.508589," ","integrate((d*x+c)^3*cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{{\left(8 \, b^{3} d^{3} x^{3} + 24 \, b^{3} c d^{2} x^{2} + 24 \, b^{3} c^{2} d x + 8 \, b^{3} c^{3} - 3 \, b d^{3} x - 3 \, b c d^{2}\right)} \cos\left(4 \, b x + 4 \, a\right)}{256 \, 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)} \cos\left(2 \, b x + 2 \, a\right)}{16 \, b^{4}} + \frac{3 \, {\left(8 \, b^{2} d^{3} x^{2} + 16 \, b^{2} c d^{2} x + 8 \, b^{2} c^{2} d - d^{3}\right)} \sin\left(4 \, b x + 4 \, a\right)}{1024 \, b^{4}} + \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)} \sin\left(2 \, b x + 2 \, a\right)}{32 \, b^{4}}"," ",0,"-1/256*(8*b^3*d^3*x^3 + 24*b^3*c*d^2*x^2 + 24*b^3*c^2*d*x + 8*b^3*c^3 - 3*b*d^3*x - 3*b*c*d^2)*cos(4*b*x + 4*a)/b^4 - 1/16*(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)*cos(2*b*x + 2*a)/b^4 + 3/1024*(8*b^2*d^3*x^2 + 16*b^2*c*d^2*x + 8*b^2*c^2*d - d^3)*sin(4*b*x + 4*a)/b^4 + 3/32*(2*b^2*d^3*x^2 + 4*b^2*c*d^2*x + 2*b^2*c^2*d - d^3)*sin(2*b*x + 2*a)/b^4","A",0
139,1,145,0,2.962541," ","integrate((d*x+c)^2*cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{{\left(8 \, b^{2} d^{2} x^{2} + 16 \, b^{2} c d x + 8 \, b^{2} c^{2} - d^{2}\right)} \cos\left(4 \, b x + 4 \, a\right)}{256 \, 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)} \cos\left(2 \, b x + 2 \, a\right)}{16 \, b^{3}} + \frac{{\left(b d^{2} x + b c d\right)} \sin\left(4 \, b x + 4 \, a\right)}{64 \, b^{3}} + \frac{{\left(b d^{2} x + b c d\right)} \sin\left(2 \, b x + 2 \, a\right)}{8 \, b^{3}}"," ",0,"-1/256*(8*b^2*d^2*x^2 + 16*b^2*c*d*x + 8*b^2*c^2 - d^2)*cos(4*b*x + 4*a)/b^3 - 1/16*(2*b^2*d^2*x^2 + 4*b^2*c*d*x + 2*b^2*c^2 - d^2)*cos(2*b*x + 2*a)/b^3 + 1/64*(b*d^2*x + b*c*d)*sin(4*b*x + 4*a)/b^3 + 1/8*(b*d^2*x + b*c*d)*sin(2*b*x + 2*a)/b^3","A",0
140,1,75,0,0.202077," ","integrate((d*x+c)*cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{{\left(b d x + b c\right)} \cos\left(4 \, b x + 4 \, a\right)}{32 \, b^{2}} - \frac{{\left(b d x + b c\right)} \cos\left(2 \, b x + 2 \, a\right)}{8 \, b^{2}} + \frac{d \sin\left(4 \, b x + 4 \, a\right)}{128 \, b^{2}} + \frac{d \sin\left(2 \, b x + 2 \, a\right)}{16 \, b^{2}}"," ",0,"-1/32*(b*d*x + b*c)*cos(4*b*x + 4*a)/b^2 - 1/8*(b*d*x + b*c)*cos(2*b*x + 2*a)/b^2 + 1/128*d*sin(4*b*x + 4*a)/b^2 + 1/16*d*sin(2*b*x + 2*a)/b^2","A",0
141,1,6046,0,1.922170," ","integrate(cos(b*x+a)^3*sin(b*x+a)/(d*x+c),x, algorithm=""giac"")","\frac{\Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - 8 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 16 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \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(2 \, a\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\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(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\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(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\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{2 \, b c}{d}\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{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right)^{2} \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(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\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{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\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{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 8 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, 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{2 \, 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{2 \, b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 8 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 16 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 8 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - 8 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 16 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, 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(2 \, 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(2 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} \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(2 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, 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} - 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(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \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)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\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(\frac{2 \, b c}{d}\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(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} \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(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) + 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(a\right) + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(a\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\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{2 \, b c}{d}\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{2 \, b c}{d}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} \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(2 \, a\right)^{2} \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)^{2} \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)^{2} \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(\frac{2 \, b c}{d}\right)^{2} \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(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{b c}{d}\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)^{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)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\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(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} - 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) + 8 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(2 \, a\right) \tan\left(\frac{2 \, b c}{d}\right) - \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{2 \, b c}{d}\right)^{2} + 8 \, \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 \, \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) + 16 \, \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) + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, 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(\frac{b c}{d}\right)^{2} + 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(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\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(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(2 \, a\right) + 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) + 4 \, \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(4 \, b x + \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) \tan\left(\frac{2 \, b c}{d}\right) - 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \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(\frac{b c}{d}\right) + \Im \left( \operatorname{Ci}\left(4 \, b x + \frac{4 \, b c}{d}\right) \right) + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) - \Im \left( \operatorname{Ci}\left(-4 \, b x - \frac{4 \, b c}{d}\right) \right) + 2 \, \operatorname{Si}\left(\frac{4 \, {\left(b d x + b c\right)}}{d}\right) + 4 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right)}{16 \, {\left(d \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(a\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d \tan\left(a\right)^{2} \tan\left(\frac{2 \, b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(\frac{2 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(2 \, a\right)^{2} + d \tan\left(a\right)^{2} + d \tan\left(\frac{2 \, b c}{d}\right)^{2} + d \tan\left(\frac{b c}{d}\right)^{2} + d\right)}}"," ",0,"1/16*(imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d) + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d) + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2*tan(b*c/d)^2 - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 + 8*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) - 8*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) + 16*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 + 4*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 - 4*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 + 8*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 + imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d) + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2*tan(2*b*c/d) + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2 + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)*tan(2*b*c/d)^2 - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d)^2 + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d) + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2*tan(b*c/d) - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d) - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d) + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d) + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d) - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)*tan(b*c/d)^2 - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)*tan(b*c/d)^2 + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2*tan(b*c/d)^2 + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2*tan(b*c/d)^2 + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)*tan(b*c/d)^2 + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2*tan(2*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2*tan(b*c/d)^2 - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(2*b*c/d)^2*tan(b*c/d)^2 - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(2*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(a)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(a)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)^2 + 4*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d) - 4*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2*tan(2*b*c/d) + 8*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(a)^2*tan(2*b*c/d) + imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(2*b*c/d)^2 - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(a)^2*tan(2*b*c/d)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(2*b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2*tan(2*b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(a)^2*tan(2*b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(2*b*c/d)^2 + 8*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a)*tan(b*c/d) - 8*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a)*tan(b*c/d) + 16*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(a)*tan(b*c/d) + 8*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) - 8*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) + 16*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(2*b*c/d)^2*tan(b*c/d) - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2*tan(b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2*tan(b*c/d)^2 + imag_part(cos_integral(4*b*x + 4*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 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 + 4*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)*tan(b*c/d)^2 - 4*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)*tan(b*c/d)^2 + 8*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d)*tan(b*c/d)^2 - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d)^2*tan(b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*b*c/d)^2*tan(b*c/d)^2 + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(a) + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(a) + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(a)^2 + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(a)^2 + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2*tan(2*b*c/d) - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(a)^2*tan(2*b*c/d) - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2*tan(2*b*c/d) - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d)^2 + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(2*b*c/d)^2 + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(2*b*c/d)^2 - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2*tan(b*c/d) - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2*tan(b*c/d) + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d) - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*b*c/d)^2*tan(b*c/d) + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(b*c/d)^2 + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(b*c/d)^2 - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)*tan(b*c/d)^2 - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*a)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*a)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*a)^2 + imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(a)^2 - 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 + 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(a)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(a)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2 + 4*imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a)*tan(2*b*c/d) - 4*imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a)*tan(2*b*c/d) + 8*sin_integral(4*(b*d*x + b*c)/d)*tan(2*a)*tan(2*b*c/d) - imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(2*b*c/d)^2 - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(2*b*c/d)^2 + imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d)^2 - 2*sin_integral(4*(b*d*x + b*c)/d)*tan(2*b*c/d)^2 + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(2*b*c/d)^2 + 8*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) - 8*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) + 16*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d) + imag_part(cos_integral(4*b*x + 4*b*c/d))*tan(b*c/d)^2 - 2*imag_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(b*c/d)^2 - imag_part(cos_integral(-4*b*x - 4*b*c/d))*tan(b*c/d)^2 + 2*sin_integral(4*(b*d*x + b*c)/d)*tan(b*c/d)^2 - 4*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 + 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*a) + 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*a) + 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) + 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 2*real_part(cos_integral(4*b*x + 4*b*c/d))*tan(2*b*c/d) - 2*real_part(cos_integral(-4*b*x - 4*b*c/d))*tan(2*b*c/d) - 4*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) - 4*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + imag_part(cos_integral(4*b*x + 4*b*c/d)) + 2*imag_part(cos_integral(2*b*x + 2*b*c/d)) - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d)) - imag_part(cos_integral(-4*b*x - 4*b*c/d)) + 2*sin_integral(4*(b*d*x + b*c)/d) + 4*sin_integral(2*(b*d*x + b*c)/d))/(d*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + d*tan(2*a)^2*tan(a)^2*tan(2*b*c/d)^2 + d*tan(2*a)^2*tan(a)^2*tan(b*c/d)^2 + d*tan(2*a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + d*tan(a)^2*tan(2*b*c/d)^2*tan(b*c/d)^2 + d*tan(2*a)^2*tan(a)^2 + d*tan(2*a)^2*tan(2*b*c/d)^2 + d*tan(a)^2*tan(2*b*c/d)^2 + d*tan(2*a)^2*tan(b*c/d)^2 + d*tan(a)^2*tan(b*c/d)^2 + d*tan(2*b*c/d)^2*tan(b*c/d)^2 + d*tan(2*a)^2 + d*tan(a)^2 + d*tan(2*b*c/d)^2 + d*tan(b*c/d)^2 + d)","C",0
142,-1,0,0,0.000000," ","integrate(cos(b*x+a)^3*sin(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
143,-1,0,0,0.000000," ","integrate(cos(b*x+a)^3*sin(b*x+a)/(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
144,-1,0,0,0.000000," ","integrate(cos(b*x+a)^3*sin(b*x+a)/(d*x+c)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
145,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right)^{3} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)^3*sin(b*x + a)^2, x)","F",0
146,1,531,0,0.293861," ","integrate((d*x+c)^4*cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(25 \, b^{3} d^{4} x^{3} + 75 \, b^{3} c d^{3} x^{2} + 75 \, b^{3} c^{2} d^{2} x + 25 \, b^{3} c^{3} d - 6 \, b d^{4} x - 6 \, b c d^{3}\right)} \cos\left(5 \, b x + 5 \, a\right)}{2500 \, 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)} \cos\left(3 \, b x + 3 \, a\right)}{108 \, b^{5}} + \frac{{\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)} \cos\left(b x + a\right)}{2 \, b^{5}} - \frac{{\left(625 \, b^{4} d^{4} x^{4} + 2500 \, b^{4} c d^{3} x^{3} + 3750 \, b^{4} c^{2} d^{2} x^{2} + 2500 \, b^{4} c^{3} d x + 625 \, b^{4} c^{4} - 300 \, b^{2} d^{4} x^{2} - 600 \, b^{2} c d^{3} x - 300 \, b^{2} c^{2} d^{2} + 24 \, d^{4}\right)} \sin\left(5 \, b x + 5 \, a\right)}{50000 \, b^{5}} - \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)} \sin\left(3 \, b x + 3 \, a\right)}{1296 \, b^{5}} + \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)} \sin\left(b x + a\right)}{8 \, b^{5}}"," ",0,"-1/2500*(25*b^3*d^4*x^3 + 75*b^3*c*d^3*x^2 + 75*b^3*c^2*d^2*x + 25*b^3*c^3*d - 6*b*d^4*x - 6*b*c*d^3)*cos(5*b*x + 5*a)/b^5 - 1/108*(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)*cos(3*b*x + 3*a)/b^5 + 1/2*(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)*cos(b*x + a)/b^5 - 1/50000*(625*b^4*d^4*x^4 + 2500*b^4*c*d^3*x^3 + 3750*b^4*c^2*d^2*x^2 + 2500*b^4*c^3*d*x + 625*b^4*c^4 - 300*b^2*d^4*x^2 - 600*b^2*c*d^3*x - 300*b^2*c^2*d^2 + 24*d^4)*sin(5*b*x + 5*a)/b^5 - 1/1296*(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)*sin(3*b*x + 3*a)/b^5 + 1/8*(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)*sin(b*x + a)/b^5","A",0
147,1,351,0,0.359595," ","integrate((d*x+c)^3*cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{3 \, {\left(25 \, b^{2} d^{3} x^{2} + 50 \, b^{2} c d^{2} x + 25 \, b^{2} c^{2} d - 2 \, d^{3}\right)} \cos\left(5 \, b x + 5 \, a\right)}{10000 \, 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)} \cos\left(3 \, b x + 3 \, a\right)}{432 \, 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)} \cos\left(b x + a\right)}{8 \, b^{4}} - \frac{{\left(25 \, b^{3} d^{3} x^{3} + 75 \, b^{3} c d^{2} x^{2} + 75 \, b^{3} c^{2} d x + 25 \, b^{3} c^{3} - 6 \, b d^{3} x - 6 \, b c d^{2}\right)} \sin\left(5 \, b x + 5 \, a\right)}{2000 \, b^{4}} - \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)} \sin\left(3 \, b x + 3 \, a\right)}{144 \, b^{4}} + \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)} \sin\left(b x + a\right)}{8 \, b^{4}}"," ",0,"-3/10000*(25*b^2*d^3*x^2 + 50*b^2*c*d^2*x + 25*b^2*c^2*d - 2*d^3)*cos(5*b*x + 5*a)/b^4 - 1/432*(9*b^2*d^3*x^2 + 18*b^2*c*d^2*x + 9*b^2*c^2*d - 2*d^3)*cos(3*b*x + 3*a)/b^4 + 3/8*(b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d - 2*d^3)*cos(b*x + a)/b^4 - 1/2000*(25*b^3*d^3*x^3 + 75*b^3*c*d^2*x^2 + 75*b^3*c^2*d*x + 25*b^3*c^3 - 6*b*d^3*x - 6*b*c*d^2)*sin(5*b*x + 5*a)/b^4 - 1/144*(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)*sin(3*b*x + 3*a)/b^4 + 1/8*(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)*sin(b*x + a)/b^4","A",0
148,1,209,0,2.110341," ","integrate((d*x+c)^2*cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(b d^{2} x + b c d\right)} \cos\left(5 \, b x + 5 \, a\right)}{200 \, b^{3}} - \frac{{\left(b d^{2} x + b c d\right)} \cos\left(3 \, b x + 3 \, a\right)}{72 \, b^{3}} + \frac{{\left(b d^{2} x + b c d\right)} \cos\left(b x + a\right)}{4 \, b^{3}} - \frac{{\left(25 \, b^{2} d^{2} x^{2} + 50 \, b^{2} c d x + 25 \, b^{2} c^{2} - 2 \, d^{2}\right)} \sin\left(5 \, b x + 5 \, a\right)}{2000 \, b^{3}} - \frac{{\left(9 \, b^{2} d^{2} x^{2} + 18 \, b^{2} c d x + 9 \, b^{2} c^{2} - 2 \, d^{2}\right)} \sin\left(3 \, b x + 3 \, a\right)}{432 \, b^{3}} + \frac{{\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2} - 2 \, d^{2}\right)} \sin\left(b x + a\right)}{8 \, b^{3}}"," ",0,"-1/200*(b*d^2*x + b*c*d)*cos(5*b*x + 5*a)/b^3 - 1/72*(b*d^2*x + b*c*d)*cos(3*b*x + 3*a)/b^3 + 1/4*(b*d^2*x + b*c*d)*cos(b*x + a)/b^3 - 1/2000*(25*b^2*d^2*x^2 + 50*b^2*c*d*x + 25*b^2*c^2 - 2*d^2)*sin(5*b*x + 5*a)/b^3 - 1/432*(9*b^2*d^2*x^2 + 18*b^2*c*d*x + 9*b^2*c^2 - 2*d^2)*sin(3*b*x + 3*a)/b^3 + 1/8*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2 - 2*d^2)*sin(b*x + a)/b^3","A",0
149,1,106,0,2.966189," ","integrate((d*x+c)*cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{d \cos\left(5 \, b x + 5 \, a\right)}{400 \, b^{2}} - \frac{d \cos\left(3 \, b x + 3 \, a\right)}{144 \, b^{2}} + \frac{d \cos\left(b x + a\right)}{8 \, b^{2}} - \frac{{\left(b d x + b c\right)} \sin\left(5 \, b x + 5 \, a\right)}{80 \, b^{2}} - \frac{{\left(b d x + b c\right)} \sin\left(3 \, b x + 3 \, a\right)}{48 \, b^{2}} + \frac{{\left(b d x + b c\right)} \sin\left(b x + a\right)}{8 \, b^{2}}"," ",0,"-1/400*d*cos(5*b*x + 5*a)/b^2 - 1/144*d*cos(3*b*x + 3*a)/b^2 + 1/8*d*cos(b*x + a)/b^2 - 1/80*(b*d*x + b*c)*sin(5*b*x + 5*a)/b^2 - 1/48*(b*d*x + b*c)*sin(3*b*x + 3*a)/b^2 + 1/8*(b*d*x + b*c)*sin(b*x + a)/b^2","A",0
150,-1,0,0,0.000000," ","integrate(cos(b*x+a)^3*sin(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
151,-1,0,0,0.000000," ","integrate(cos(b*x+a)^3*sin(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
152,-1,0,0,0.000000," ","integrate(cos(b*x+a)^3*sin(b*x+a)^2/(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
153,-1,0,0,0.000000," ","integrate(cos(b*x+a)^3*sin(b*x+a)^2/(d*x+c)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
154,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right)^{3} \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)^3*sin(b*x + a)^3, x)","F",0
155,1,359,0,1.125578," ","integrate((d*x+c)^4*cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(54 \, b^{4} d^{4} x^{4} + 216 \, b^{4} c d^{3} x^{3} + 324 \, b^{4} c^{2} d^{2} x^{2} + 216 \, b^{4} c^{3} d x + 54 \, b^{4} c^{4} - 18 \, b^{2} d^{4} x^{2} - 36 \, b^{2} c d^{3} x - 18 \, b^{2} c^{2} d^{2} + d^{4}\right)} \cos\left(6 \, b x + 6 \, a\right)}{10368 \, b^{5}} - \frac{3 \, {\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)} \cos\left(2 \, b x + 2 \, a\right)}{128 \, b^{5}} - \frac{{\left(6 \, b^{3} d^{4} x^{3} + 18 \, b^{3} c d^{3} x^{2} + 18 \, b^{3} c^{2} d^{2} x + 6 \, b^{3} c^{3} d - b d^{4} x - b c d^{3}\right)} \sin\left(6 \, b x + 6 \, a\right)}{1728 \, b^{5}} + \frac{3 \, {\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)} \sin\left(2 \, b x + 2 \, a\right)}{64 \, b^{5}}"," ",0,"1/10368*(54*b^4*d^4*x^4 + 216*b^4*c*d^3*x^3 + 324*b^4*c^2*d^2*x^2 + 216*b^4*c^3*d*x + 54*b^4*c^4 - 18*b^2*d^4*x^2 - 36*b^2*c*d^3*x - 18*b^2*c^2*d^2 + d^4)*cos(6*b*x + 6*a)/b^5 - 3/128*(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)*cos(2*b*x + 2*a)/b^5 - 1/1728*(6*b^3*d^4*x^3 + 18*b^3*c*d^3*x^2 + 18*b^3*c^2*d^2*x + 6*b^3*c^3*d - b*d^4*x - b*c*d^3)*sin(6*b*x + 6*a)/b^5 + 3/64*(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)*sin(2*b*x + 2*a)/b^5","A",0
156,1,241,0,0.378543," ","integrate((d*x+c)^3*cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(6 \, b^{3} d^{3} x^{3} + 18 \, b^{3} c d^{2} x^{2} + 18 \, b^{3} c^{2} d x + 6 \, b^{3} c^{3} - b d^{3} x - b c d^{2}\right)} \cos\left(6 \, b x + 6 \, a\right)}{1152 \, b^{4}} - \frac{3 \, {\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)} \cos\left(2 \, b x + 2 \, a\right)}{128 \, b^{4}} - \frac{{\left(18 \, b^{2} d^{3} x^{2} + 36 \, b^{2} c d^{2} x + 18 \, b^{2} c^{2} d - d^{3}\right)} \sin\left(6 \, b x + 6 \, a\right)}{6912 \, b^{4}} + \frac{9 \, {\left(2 \, b^{2} d^{3} x^{2} + 4 \, b^{2} c d^{2} x + 2 \, b^{2} c^{2} d - d^{3}\right)} \sin\left(2 \, b x + 2 \, a\right)}{256 \, b^{4}}"," ",0,"1/1152*(6*b^3*d^3*x^3 + 18*b^3*c*d^2*x^2 + 18*b^3*c^2*d*x + 6*b^3*c^3 - b*d^3*x - b*c*d^2)*cos(6*b*x + 6*a)/b^4 - 3/128*(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)*cos(2*b*x + 2*a)/b^4 - 1/6912*(18*b^2*d^3*x^2 + 36*b^2*c*d^2*x + 18*b^2*c^2*d - d^3)*sin(6*b*x + 6*a)/b^4 + 9/256*(2*b^2*d^3*x^2 + 4*b^2*c*d^2*x + 2*b^2*c^2*d - d^3)*sin(2*b*x + 2*a)/b^4","A",0
157,1,145,0,0.410400," ","integrate((d*x+c)^2*cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(18 \, b^{2} d^{2} x^{2} + 36 \, b^{2} c d x + 18 \, b^{2} c^{2} - d^{2}\right)} \cos\left(6 \, b x + 6 \, a\right)}{3456 \, b^{3}} - \frac{3 \, {\left(2 \, b^{2} d^{2} x^{2} + 4 \, b^{2} c d x + 2 \, b^{2} c^{2} - d^{2}\right)} \cos\left(2 \, b x + 2 \, a\right)}{128 \, b^{3}} - \frac{{\left(b d^{2} x + b c d\right)} \sin\left(6 \, b x + 6 \, a\right)}{576 \, b^{3}} + \frac{3 \, {\left(b d^{2} x + b c d\right)} \sin\left(2 \, b x + 2 \, a\right)}{64 \, b^{3}}"," ",0,"1/3456*(18*b^2*d^2*x^2 + 36*b^2*c*d*x + 18*b^2*c^2 - d^2)*cos(6*b*x + 6*a)/b^3 - 3/128*(2*b^2*d^2*x^2 + 4*b^2*c*d*x + 2*b^2*c^2 - d^2)*cos(2*b*x + 2*a)/b^3 - 1/576*(b*d^2*x + b*c*d)*sin(6*b*x + 6*a)/b^3 + 3/64*(b*d^2*x + b*c*d)*sin(2*b*x + 2*a)/b^3","A",0
158,1,75,0,0.240558," ","integrate((d*x+c)*cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(b d x + b c\right)} \cos\left(6 \, b x + 6 \, a\right)}{192 \, b^{2}} - \frac{3 \, {\left(b d x + b c\right)} \cos\left(2 \, b x + 2 \, a\right)}{64 \, b^{2}} - \frac{d \sin\left(6 \, b x + 6 \, a\right)}{1152 \, b^{2}} + \frac{3 \, d \sin\left(2 \, b x + 2 \, a\right)}{128 \, b^{2}}"," ",0,"1/192*(b*d*x + b*c)*cos(6*b*x + 6*a)/b^2 - 3/64*(b*d*x + b*c)*cos(2*b*x + 2*a)/b^2 - 1/1152*d*sin(6*b*x + 6*a)/b^2 + 3/128*d*sin(2*b*x + 2*a)/b^2","A",0
159,1,6046,0,0.567567," ","integrate(cos(b*x+a)^3*sin(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","-\frac{\Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - 12 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 12 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - 24 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} + \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} - 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} + 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) + 8 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) + \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} - 12 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) + 12 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 24 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) \tan\left(\frac{b c}{d}\right) - 12 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 12 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - 24 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) - \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 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} + 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} - \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 6 \, \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} + 4 \, \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right) \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) - 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(a\right) + 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(a\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 6 \, \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 \, \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 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \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 \, \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 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} - \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right)^{2} - 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} - 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right)^{2} - 3 \, \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(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(a\right)^{2} + 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} + 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(a\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(\frac{3 \, b c}{d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) \tan\left(\frac{3 \, b c}{d}\right) + 8 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(3 \, a\right) \tan\left(\frac{3 \, b c}{d}\right) - \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right)^{2} - 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} - 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{3 \, b c}{d}\right)^{2} - 12 \, \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 \, \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 \, \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) + \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} - 3 \, \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(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) + 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(3 \, a\right) - 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(a\right) - 6 \, \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(6 \, b x + \frac{6 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) \tan\left(\frac{3 \, b c}{d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) + 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) + \Im \left( \operatorname{Ci}\left(6 \, b x + \frac{6 \, b c}{d}\right) \right) - 3 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) + 3 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) - \Im \left( \operatorname{Ci}\left(-6 \, b x - \frac{6 \, b c}{d}\right) \right) + 2 \, \operatorname{Si}\left(\frac{6 \, {\left(b d x + b c\right)}}{d}\right) - 6 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right)}{64 \, {\left(d \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} + d \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(3 \, a\right)^{2} \tan\left(a\right)^{2} + d \tan\left(3 \, a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} + d \tan\left(a\right)^{2} \tan\left(\frac{3 \, b c}{d}\right)^{2} + d \tan\left(3 \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(\frac{3 \, b c}{d}\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(3 \, a\right)^{2} + d \tan\left(a\right)^{2} + d \tan\left(\frac{3 \, b c}{d}\right)^{2} + d \tan\left(\frac{b c}{d}\right)^{2} + d\right)}}"," ",0,"-1/64*(imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 - 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + 2*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 - 6*sin_integral(2*(b*d*x + b*c)/d)*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 - 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d) - 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d) + 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)*tan(b*c/d)^2 + 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)*tan(b*c/d)^2 + 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a)*tan(3*b*c/d)^2*tan(b*c/d)^2 + 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a)*tan(3*b*c/d)^2*tan(b*c/d)^2 - 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 - 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2 + 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2 - 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2 - imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2 + 2*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2 + 6*sin_integral(2*(b*d*x + b*c)/d)*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2 - 12*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a)*tan(3*b*c/d)^2*tan(b*c/d) + 12*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a)*tan(3*b*c/d)^2*tan(b*c/d) - 24*sin_integral(2*(b*d*x + b*c)/d)*tan(3*a)^2*tan(a)*tan(3*b*c/d)^2*tan(b*c/d) - imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2*tan(a)^2*tan(b*c/d)^2 - 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a)^2*tan(b*c/d)^2 + 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a)^2*tan(b*c/d)^2 + imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2*tan(a)^2*tan(b*c/d)^2 - 2*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)^2*tan(a)^2*tan(b*c/d)^2 - 6*sin_integral(2*(b*d*x + b*c)/d)*tan(3*a)^2*tan(a)^2*tan(b*c/d)^2 + 4*imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)*tan(a)^2*tan(3*b*c/d)*tan(b*c/d)^2 - 4*imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)*tan(a)^2*tan(3*b*c/d)*tan(b*c/d)^2 + 8*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)*tan(a)^2*tan(3*b*c/d)*tan(b*c/d)^2 + imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 - 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + 2*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + 6*sin_integral(2*(b*d*x + b*c)/d)*tan(3*a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 - 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 - 2*sin_integral(6*(b*d*x + b*c)/d)*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 - 6*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d) + 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2*tan(a)^2*tan(3*b*c/d) - 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a)*tan(3*b*c/d)^2 - 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a)*tan(3*b*c/d)^2 - 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)*tan(a)^2*tan(3*b*c/d)^2 - 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)*tan(a)^2*tan(3*b*c/d)^2 - 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a)^2*tan(b*c/d) - 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a)^2*tan(b*c/d) + 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(3*b*c/d)^2*tan(b*c/d) + 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(3*b*c/d)^2*tan(b*c/d) - 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d) - 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d) + 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a)*tan(b*c/d)^2 + 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a)*tan(b*c/d)^2 + 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)*tan(a)^2*tan(b*c/d)^2 + 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)*tan(a)^2*tan(b*c/d)^2 + 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2*tan(3*b*c/d)*tan(b*c/d)^2 + 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2*tan(3*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(a)^2*tan(3*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(a)^2*tan(3*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)*tan(3*b*c/d)^2*tan(b*c/d)^2 - 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)*tan(3*b*c/d)^2*tan(b*c/d)^2 + 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(3*b*c/d)^2*tan(b*c/d)^2 + 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(3*b*c/d)^2*tan(b*c/d)^2 - imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2*tan(a)^2 + 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a)^2 - 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a)^2 + imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2*tan(a)^2 - 2*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)^2*tan(a)^2 + 6*sin_integral(2*(b*d*x + b*c)/d)*tan(3*a)^2*tan(a)^2 + 4*imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)*tan(a)^2*tan(3*b*c/d) - 4*imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)*tan(a)^2*tan(3*b*c/d) + 8*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)*tan(a)^2*tan(3*b*c/d) + imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2*tan(3*b*c/d)^2 - 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(3*b*c/d)^2 + 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(3*b*c/d)^2 - imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2*tan(3*b*c/d)^2 + 2*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)^2*tan(3*b*c/d)^2 - 6*sin_integral(2*(b*d*x + b*c)/d)*tan(3*a)^2*tan(3*b*c/d)^2 - imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(a)^2*tan(3*b*c/d)^2 + 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(3*b*c/d)^2 - 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(3*b*c/d)^2 + imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(a)^2*tan(3*b*c/d)^2 - 2*sin_integral(6*(b*d*x + b*c)/d)*tan(a)^2*tan(3*b*c/d)^2 + 6*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(3*b*c/d)^2 - 12*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a)*tan(b*c/d) + 12*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a)*tan(b*c/d) - 24*sin_integral(2*(b*d*x + b*c)/d)*tan(3*a)^2*tan(a)*tan(b*c/d) - 12*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(3*b*c/d)^2*tan(b*c/d) + 12*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(3*b*c/d)^2*tan(b*c/d) - 24*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(3*b*c/d)^2*tan(b*c/d) - imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2*tan(b*c/d)^2 + 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(b*c/d)^2 - 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(b*c/d)^2 + imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2*tan(b*c/d)^2 - 2*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)^2*tan(b*c/d)^2 + 6*sin_integral(2*(b*d*x + b*c)/d)*tan(3*a)^2*tan(b*c/d)^2 + imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(a)^2*tan(b*c/d)^2 - 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d)^2 - imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(a)^2*tan(b*c/d)^2 + 2*sin_integral(6*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 - 6*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2*tan(b*c/d)^2 + 4*imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)*tan(3*b*c/d)*tan(b*c/d)^2 - 4*imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)*tan(3*b*c/d)*tan(b*c/d)^2 + 8*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)*tan(3*b*c/d)*tan(b*c/d)^2 - imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*b*c/d)^2*tan(b*c/d)^2 + 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*b*c/d)^2*tan(b*c/d)^2 - 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*b*c/d)^2*tan(b*c/d)^2 + imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*b*c/d)^2*tan(b*c/d)^2 - 2*sin_integral(6*(b*d*x + b*c)/d)*tan(3*b*c/d)^2*tan(b*c/d)^2 + 6*sin_integral(2*(b*d*x + b*c)/d)*tan(3*b*c/d)^2*tan(b*c/d)^2 - 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(a) - 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(a) + 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)*tan(a)^2 + 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)*tan(a)^2 + 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2*tan(3*b*c/d) + 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2*tan(3*b*c/d) - 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(a)^2*tan(3*b*c/d) - 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(a)^2*tan(3*b*c/d) - 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)*tan(3*b*c/d)^2 - 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)*tan(3*b*c/d)^2 - 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(3*b*c/d)^2 - 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(3*b*c/d)^2 + 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2*tan(b*c/d) + 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2*tan(b*c/d) - 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2*tan(b*c/d) - 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2*tan(b*c/d) + 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*b*c/d)^2*tan(b*c/d) + 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*b*c/d)^2*tan(b*c/d) + 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)*tan(b*c/d)^2 + 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)*tan(b*c/d)^2 + 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d)^2 + 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d)^2 - 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*b*c/d)*tan(b*c/d)^2 - 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*b*c/d)*tan(b*c/d)^2 - imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)^2 - 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*a)^2 + 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*a)^2 + imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)^2 - 2*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)^2 - 6*sin_integral(2*(b*d*x + b*c)/d)*tan(3*a)^2 + imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(a)^2 + 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)^2 - 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)^2 - imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(a)^2 + 2*sin_integral(6*(b*d*x + b*c)/d)*tan(a)^2 + 6*sin_integral(2*(b*d*x + b*c)/d)*tan(a)^2 + 4*imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a)*tan(3*b*c/d) - 4*imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a)*tan(3*b*c/d) + 8*sin_integral(6*(b*d*x + b*c)/d)*tan(3*a)*tan(3*b*c/d) - imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*b*c/d)^2 - 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(3*b*c/d)^2 + 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(3*b*c/d)^2 + imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*b*c/d)^2 - 2*sin_integral(6*(b*d*x + b*c)/d)*tan(3*b*c/d)^2 - 6*sin_integral(2*(b*d*x + b*c)/d)*tan(3*b*c/d)^2 - 12*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(a)*tan(b*c/d) + 12*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a)*tan(b*c/d) - 24*sin_integral(2*(b*d*x + b*c)/d)*tan(a)*tan(b*c/d) + imag_part(cos_integral(6*b*x + 6*b*c/d))*tan(b*c/d)^2 + 3*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 - 3*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 - imag_part(cos_integral(-6*b*x - 6*b*c/d))*tan(b*c/d)^2 + 2*sin_integral(6*(b*d*x + b*c)/d)*tan(b*c/d)^2 + 6*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 + 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*a) + 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*a) - 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(a) - 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(a) - 2*real_part(cos_integral(6*b*x + 6*b*c/d))*tan(3*b*c/d) - 2*real_part(cos_integral(-6*b*x - 6*b*c/d))*tan(3*b*c/d) + 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) + 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) + imag_part(cos_integral(6*b*x + 6*b*c/d)) - 3*imag_part(cos_integral(2*b*x + 2*b*c/d)) + 3*imag_part(cos_integral(-2*b*x - 2*b*c/d)) - imag_part(cos_integral(-6*b*x - 6*b*c/d)) + 2*sin_integral(6*(b*d*x + b*c)/d) - 6*sin_integral(2*(b*d*x + b*c)/d))/(d*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + d*tan(3*a)^2*tan(a)^2*tan(3*b*c/d)^2 + d*tan(3*a)^2*tan(a)^2*tan(b*c/d)^2 + d*tan(3*a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + d*tan(a)^2*tan(3*b*c/d)^2*tan(b*c/d)^2 + d*tan(3*a)^2*tan(a)^2 + d*tan(3*a)^2*tan(3*b*c/d)^2 + d*tan(a)^2*tan(3*b*c/d)^2 + d*tan(3*a)^2*tan(b*c/d)^2 + d*tan(a)^2*tan(b*c/d)^2 + d*tan(3*b*c/d)^2*tan(b*c/d)^2 + d*tan(3*a)^2 + d*tan(a)^2 + d*tan(3*b*c/d)^2 + d*tan(b*c/d)^2 + d)","C",0
160,-1,0,0,0.000000," ","integrate(cos(b*x+a)^3*sin(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
161,-1,0,0,0.000000," ","integrate(cos(b*x+a)^3*sin(b*x+a)^3/(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
162,-1,0,0,0.000000," ","integrate(cos(b*x+a)^3*sin(b*x+a)^3/(d*x+c)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)^2*cot(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right)^{2} \cot\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)^2*cot(b*x + a), x)","F",0
164,0,0,0,0.000000," ","integrate((d*x+c)^4*cos(b*x+a)^2*cot(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \cos\left(b x + a\right)^{2} \cot\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^4*cos(b*x + a)^2*cot(b*x + a), x)","F",0
165,0,0,0,0.000000," ","integrate((d*x+c)^3*cos(b*x+a)^2*cot(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \cos\left(b x + a\right)^{2} \cot\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*cos(b*x + a)^2*cot(b*x + a), x)","F",0
166,0,0,0,0.000000," ","integrate((d*x+c)^2*cos(b*x+a)^2*cot(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \cos\left(b x + a\right)^{2} \cot\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*cos(b*x + a)^2*cot(b*x + a), x)","F",0
167,0,0,0,0.000000," ","integrate((d*x+c)*cos(b*x+a)^2*cot(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \cos\left(b x + a\right)^{2} \cot\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)*cos(b*x + a)^2*cot(b*x + a), x)","F",0
168,0,0,0,0.000000," ","integrate(cos(b*x+a)^2*cot(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\cos\left(b x + a\right)^{2} \cot\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(cos(b*x + a)^2*cot(b*x + a)/(d*x + c), x)","F",0
169,0,0,0,0.000000," ","integrate(cos(b*x+a)^2*cot(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\cos\left(b x + a\right)^{2} \cot\left(b x + a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(cos(b*x + a)^2*cot(b*x + a)/(d*x + c)^2, x)","F",0
170,0,0,0,0.000000," ","integrate((d*x+c)^m*cos(b*x+a)*cot(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cos\left(b x + a\right) \cot\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*cos(b*x + a)*cot(b*x + a)^2, x)","F",0
171,0,0,0,0.000000," ","integrate((d*x+c)^4*cos(b*x+a)*cot(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \cos\left(b x + a\right) \cot\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^4*cos(b*x + a)*cot(b*x + a)^2, x)","F",0
172,0,0,0,0.000000," ","integrate((d*x+c)^3*cos(b*x+a)*cot(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \cos\left(b x + a\right) \cot\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*cos(b*x + a)*cot(b*x + a)^2, x)","F",0
173,0,0,0,0.000000," ","integrate((d*x+c)^2*cos(b*x+a)*cot(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \cos\left(b x + a\right) \cot\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*cos(b*x + a)*cot(b*x + a)^2, x)","F",0
174,1,1967,0,5.158759," ","integrate((d*x+c)*cos(b*x+a)*cot(b*x+a)^2,x, algorithm=""giac"")","\frac{b d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + b c \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 6 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 6 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 6 \, b c \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, b c \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 6 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + b d x \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) - 12 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, b d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + b d x \tan\left(\frac{1}{2} \, a\right)^{4} - d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\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)^{4} + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + b c \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, b c \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) - 12 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 12 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, b c \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + 12 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + b c \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 6 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} - d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} + 8 \, b d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + 6 \, b d x \tan\left(\frac{1}{2} \, a\right)^{2} + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right)^{3} - d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right)^{3} + 6 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} - 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} + 8 \, b c \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 12 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 6 \, b c \tan\left(\frac{1}{2} \, a\right)^{2} - 12 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, d \tan\left(\frac{1}{2} \, a\right)^{3} + b d x + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right) - d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right) + d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right) - d \log\left(\frac{4 \, {\left(\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) + \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \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)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right) + b c + 2 \, d \tan\left(\frac{1}{2} \, b x\right) + 2 \, d \tan\left(\frac{1}{2} \, a\right)}{2 \, {\left(b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + b^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + b^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - b^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} - b^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 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)^4*tan(1/2*a)^4 + b*c*tan(1/2*b*x)^4*tan(1/2*a)^4 + 6*b*d*x*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*b*d*x*tan(1/2*b*x)^3*tan(1/2*a)^3 - d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4*tan(1/2*a)^3 + d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^2 + 1))*tan(1/2*b*x)^4*tan(1/2*a)^3 + 6*b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^4 - d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a)^4 + d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a)^4 + 6*b*c*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*b*c*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*d*tan(1/2*b*x)^4*tan(1/2*a)^3 + 6*b*c*tan(1/2*b*x)^2*tan(1/2*a)^4 - 2*d*tan(1/2*b*x)^3*tan(1/2*a)^4 + b*d*x*tan(1/2*b*x)^4 - 8*b*d*x*tan(1/2*b*x)^3*tan(1/2*a) - d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4*tan(1/2*a) + d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^2 + 1))*tan(1/2*b*x)^4*tan(1/2*a) - 12*b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^2 - 8*b*d*x*tan(1/2*b*x)*tan(1/2*a)^3 + b*d*x*tan(1/2*a)^4 - d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a)^4 + d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^2 + 1))*tan(1/2*b*x)*tan(1/2*a)^4 + b*c*tan(1/2*b*x)^4 - 8*b*c*tan(1/2*b*x)^3*tan(1/2*a) + 2*d*tan(1/2*b*x)^4*tan(1/2*a) - 12*b*c*tan(1/2*b*x)^2*tan(1/2*a)^2 + 12*d*tan(1/2*b*x)^3*tan(1/2*a)^2 - 8*b*c*tan(1/2*b*x)*tan(1/2*a)^3 + 12*d*tan(1/2*b*x)^2*tan(1/2*a)^3 + b*c*tan(1/2*a)^4 + 2*d*tan(1/2*b*x)*tan(1/2*a)^4 + 6*b*d*x*tan(1/2*b*x)^2 + d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3 - d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^2 + 1))*tan(1/2*b*x)^3 + 8*b*d*x*tan(1/2*b*x)*tan(1/2*a) + 6*b*d*x*tan(1/2*a)^2 + d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*a)^3 - d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^2 + 1))*tan(1/2*a)^3 + 6*b*c*tan(1/2*b*x)^2 - 2*d*tan(1/2*b*x)^3 + 8*b*c*tan(1/2*b*x)*tan(1/2*a) - 12*d*tan(1/2*b*x)^2*tan(1/2*a) + 6*b*c*tan(1/2*a)^2 - 12*d*tan(1/2*b*x)*tan(1/2*a)^2 - 2*d*tan(1/2*a)^3 + b*d*x + d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x) - d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^2 + 1))*tan(1/2*b*x) + d*log(4*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + tan(1/2*b*x)^2 - 2*tan(1/2*b*x)*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*a) - d*log(4*(tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^3*tan(1/2*a) + tan(1/2*b*x)^2*tan(1/2*a)^2 + 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)^2 + 1))*tan(1/2*a) + b*c + 2*d*tan(1/2*b*x) + 2*d*tan(1/2*a))/(b^2*tan(1/2*b*x)^4*tan(1/2*a)^3 + b^2*tan(1/2*b*x)^3*tan(1/2*a)^4 + b^2*tan(1/2*b*x)^4*tan(1/2*a) + b^2*tan(1/2*b*x)*tan(1/2*a)^4 - b^2*tan(1/2*b*x)^3 - b^2*tan(1/2*a)^3 - b^2*tan(1/2*b*x) - b^2*tan(1/2*a))","B",0
175,0,0,0,0.000000," ","integrate(cos(b*x+a)*cot(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{\cos\left(b x + a\right) \cot\left(b x + a\right)^{2}}{d x + c}\,{d x}"," ",0,"integrate(cos(b*x + a)*cot(b*x + a)^2/(d*x + c), x)","F",0
176,0,0,0,0.000000," ","integrate(cos(b*x+a)*cot(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\cos\left(b x + a\right) \cot\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(cos(b*x + a)*cot(b*x + a)^2/(d*x + c)^2, x)","F",0
177,0,0,0,0.000000," ","integrate((d*x+c)^m*cot(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \cot\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*cot(b*x + a)^3, x)","F",0
178,0,0,0,0.000000," ","integrate((d*x+c)^4*cot(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \cot\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^4*cot(b*x + a)^3, x)","F",0
179,0,0,0,0.000000," ","integrate((d*x+c)^3*cot(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \cot\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^3*cot(b*x + a)^3, x)","F",0
180,0,0,0,0.000000," ","integrate((d*x+c)^2*cot(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \cot\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^2*cot(b*x + a)^3, x)","F",0
181,0,0,0,0.000000," ","integrate((d*x+c)*cot(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)} \cot\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)*cot(b*x + a)^3, x)","F",0
182,0,0,0,0.000000," ","integrate(cot(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\int \frac{\cot\left(b x + a\right)^{3}}{d x + c}\,{d x}"," ",0,"integrate(cot(b*x + a)^3/(d*x + c), x)","F",0
183,0,0,0,0.000000," ","integrate(cot(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\cot\left(b x + a\right)^{3}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(cot(b*x + a)^3/(d*x + c)^2, x)","F",0
184,1,2418,0,3.319163," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{512 \, {\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c^{3} + 24 \, c d^{2} {\left(\frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{16 \, {\left(\frac{i \, \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 i \, {\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{16 \, {\left(-\frac{i \, \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 i \, {\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{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} + 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{4 i \, {\left(64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 192 i \, \sqrt{d x + c} b^{2} c^{2} d + 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 72 \, \sqrt{d x + c} b c d^{2} - 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} - 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{4 i \, {\left(64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 192 i \, \sqrt{d x + c} b^{2} c^{2} d - 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + 72 \, \sqrt{d x + c} b c d^{2} - 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{32 \, {\left(-\frac{i \, \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 i \, {\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{32 \, {\left(\frac{i \, \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 i \, {\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)} + 192 \, {\left(-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c^{2}}{16384 \, d}"," ",0,"-1/16384*(512*(I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c^3 + 24*c*d^2*((I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + (-I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2 + 16*(I*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*I*(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 + 16*(-I*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*I*(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*((-I*sqrt(2)*sqrt(pi)*(512*b^3*c^3 + 192*I*b^2*c^2*d - 72*b*c*d^2 - 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 4*I*(64*I*(d*x + c)^(5/2)*b^2*d - 192*I*(d*x + c)^(3/2)*b^2*c*d + 192*I*sqrt(d*x + c)*b^2*c^2*d + 40*(d*x + c)^(3/2)*b*d^2 - 72*sqrt(d*x + c)*b*c*d^2 - 15*I*sqrt(d*x + c)*d^3)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^3)/d^3 + (I*sqrt(2)*sqrt(pi)*(512*b^3*c^3 - 192*I*b^2*c^2*d - 72*b*c*d^2 + 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 4*I*(64*I*(d*x + c)^(5/2)*b^2*d - 192*I*(d*x + c)^(3/2)*b^2*c*d + 192*I*sqrt(d*x + c)*b^2*c^2*d - 40*(d*x + c)^(3/2)*b*d^2 + 72*sqrt(d*x + c)*b*c*d^2 - 15*I*sqrt(d*x + c)*d^3)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^3)/d^3 + 32*(-I*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*I*(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 + 32*(I*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*I*(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) + 192*(-I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 8*I*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) + 8*I*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) + 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b + 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c^2)/d","C",0
185,1,1503,0,2.647422," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{64 \, {\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c^{2} + d^{2} {\left(\frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{16 \, {\left(\frac{i \, \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 i \, {\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{16 \, {\left(-\frac{i \, \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 i \, {\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)} + 16 \, {\left(-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c}{2048 \, d}"," ",0,"-1/2048*(64*(I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c^2 + d^2*((I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + (-I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2 + 16*(I*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*I*(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 + 16*(-I*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*I*(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) + 16*(-I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 8*I*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) + 8*I*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) + 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b + 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c)/d","C",0
186,1,818,0,2.817946," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}}{256 \, d}"," ",0,"-1/256*(-I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 8*(I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c - 8*I*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) + 8*I*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) + 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b + 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)/d","C",0
187,1,818,0,0.981099," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}}{256 \, d}"," ",0,"-1/256*(-I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 8*(I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c - 8*I*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) + 8*I*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) + 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b + 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)/d","C",0
188,1,1503,0,3.866928," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{64 \, {\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c^{2} + d^{2} {\left(\frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{16 \, {\left(\frac{i \, \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 i \, {\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{16 \, {\left(-\frac{i \, \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 i \, {\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)} + 16 \, {\left(-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c}{2048 \, d}"," ",0,"-1/2048*(64*(I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c^2 + d^2*((I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + (-I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2 + 16*(I*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*I*(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 + 16*(-I*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*I*(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) + 16*(-I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 8*I*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) + 8*I*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) + 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b + 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c)/d","C",0
189,1,2418,0,3.104029," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{512 \, {\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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{4 i \, \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{4 i \, \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)}}\right)} c^{3} + 24 \, c d^{2} {\left(\frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} + 16 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(64 \, b^{2} c^{2} - 16 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{4 i \, {\left(8 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 16 i \, \sqrt{d x + c} b c d - 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{16 \, {\left(\frac{i \, \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 i \, {\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{16 \, {\left(-\frac{i \, \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 i \, {\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{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} + 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{4 i \, {\left(64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 192 i \, \sqrt{d x + c} b^{2} c^{2} d + 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 72 \, \sqrt{d x + c} b c d^{2} - 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(512 \, b^{3} c^{3} - 192 i \, b^{2} c^{2} d - 72 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} - \frac{4 i \, {\left(64 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 192 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 192 i \, \sqrt{d x + c} b^{2} c^{2} d - 40 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + 72 \, \sqrt{d x + c} b c d^{2} - 15 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{32 \, {\left(-\frac{i \, \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 i \, {\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{32 \, {\left(\frac{i \, \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 i \, {\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)} + 192 \, {\left(-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(8 \, 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)}}{d}\right) e^{\left(\frac{4 i \, b c - 4 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(8 \, 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)}}{d}\right) e^{\left(\frac{-4 i \, b c + 4 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{8 i \, \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{8 i \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{4 i \, {\left(d x + c\right)} b - 4 i \, b c + 4 i \, a d}{d}\right)}}{b} + \frac{16 \, \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{16 \, \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{4 \, \sqrt{d x + c} d e^{\left(\frac{-4 i \, {\left(d x + c\right)} b + 4 i \, b c - 4 i \, a d}{d}\right)}}{b}\right)} c^{2}}{16384 \, d}"," ",0,"-1/16384*(512*(I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) - I*sqrt(2)*sqrt(pi)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 4*I*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*I*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)))*c^3 + 24*c*d^2*((I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 + 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^2)/d^2 + (-I*sqrt(2)*sqrt(pi)*(64*b^2*c^2 - 16*I*b*c*d - 3*d^2)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 4*I*(8*I*(d*x + c)^(3/2)*b*d - 16*I*sqrt(d*x + c)*b*c*d - 3*sqrt(d*x + c)*d^2)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^2)/d^2 + 16*(I*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*I*(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 + 16*(-I*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*I*(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*((-I*sqrt(2)*sqrt(pi)*(512*b^3*c^3 + 192*I*b^2*c^2*d - 72*b*c*d^2 - 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 4*I*(64*I*(d*x + c)^(5/2)*b^2*d - 192*I*(d*x + c)^(3/2)*b^2*c*d + 192*I*sqrt(d*x + c)*b^2*c^2*d + 40*(d*x + c)^(3/2)*b*d^2 - 72*sqrt(d*x + c)*b*c*d^2 - 15*I*sqrt(d*x + c)*d^3)*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b^3)/d^3 + (I*sqrt(2)*sqrt(pi)*(512*b^3*c^3 - 192*I*b^2*c^2*d - 72*b*c*d^2 + 15*I*d^3)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 4*I*(64*I*(d*x + c)^(5/2)*b^2*d - 192*I*(d*x + c)^(3/2)*b^2*c*d + 192*I*sqrt(d*x + c)*b^2*c^2*d - 40*(d*x + c)^(3/2)*b*d^2 + 72*sqrt(d*x + c)*b*c*d^2 - 15*I*sqrt(d*x + c)*d^3)*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b^3)/d^3 + 32*(-I*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*I*(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 + 32*(I*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*I*(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) + 192*(-I*sqrt(2)*sqrt(pi)*(8*b*c + I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((4*I*b*c - 4*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + I*sqrt(2)*sqrt(pi)*(8*b*c - I*d)*d*erf(-sqrt(2)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-4*I*b*c + 4*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 8*I*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) + 8*I*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) + 4*sqrt(d*x + c)*d*e^((4*I*(d*x + c)*b - 4*I*b*c + 4*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 16*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b + 4*sqrt(d*x + c)*d*e^((-4*I*(d*x + c)*b + 4*I*b*c - 4*I*a*d)/d)/b)*c^2)/d","C",0
190,1,3677,0,18.657000," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1800 \, {\left(\frac{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 \, \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{30 \, \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{30 \, \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{5 \, \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{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 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{9 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} + 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 \, {\left(10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} - \frac{2250 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} - \frac{2250 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{9 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} - 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} - d^{3} {\left(\frac{27 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(200 \, b^{3} c^{3} + 60 i \, b^{2} c^{2} d - 18 \, b c d^{2} - 3 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} + \frac{10 \, {\left(20 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 60 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 60 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} - 3 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{3}} - \frac{6750 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{3}} - \frac{6750 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{3}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{3}} + \frac{27 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(200 \, b^{3} c^{3} - 60 i \, b^{2} c^{2} d - 18 \, b c d^{2} + 3 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} + \frac{10 \, {\left(-20 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 60 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 60 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} + 3 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}}\right)} - 180 \, {\left(\frac{9 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{25 \, \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{450 \, \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{450 \, \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{25 \, \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 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{90 i \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} - \frac{150 i \, \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{900 i \, \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{900 i \, \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{150 i \, \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{90 i \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}\right)} c^{2}}{864000 \, d}"," ",0,"1/864000*(1800*(3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) - 30*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)) - 30*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)) + 5*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)) + 3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^3 + 18*c*d^2*(9*(sqrt(10)*sqrt(pi)*(100*b^2*c^2 + 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*(10*I*(d*x + c)^(3/2)*b*d - 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^2)/d^2 + 125*(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*(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 - 2250*(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*(-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 - 2250*(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*(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 + 125*(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*(-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*(sqrt(10)*sqrt(pi)*(100*b^2*c^2 - 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^2)/d^2) - d^3*(27*(sqrt(10)*sqrt(pi)*(200*b^3*c^3 + 60*I*b^2*c^2*d - 18*b*c*d^2 - 3*I*d^3)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) + 10*(20*I*(d*x + c)^(5/2)*b^2*d - 60*I*(d*x + c)^(3/2)*b^2*c*d + 60*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 - 3*I*sqrt(d*x + c)*d^3)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^3)/d^3 + 125*(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*(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 - 6750*(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*(-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 - 6750*(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*(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 + 125*(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*(-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*(sqrt(10)*sqrt(pi)*(200*b^3*c^3 - 60*I*b^2*c^2*d - 18*b*c*d^2 + 3*I*d^3)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) + 10*(-20*I*(d*x + c)^(5/2)*b^2*d + 60*I*(d*x + c)^(3/2)*b^2*c*d - 60*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 + 3*I*sqrt(d*x + c)*d^3)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^3)/d^3) - 180*(9*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 25*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) - 450*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) - 450*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) + 25*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*sqrt(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 90*I*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b - 150*I*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 900*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*I*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b + 90*I*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)*c^2)/d","C",0
191,1,2293,0,7.722410," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{300 \, {\left(\frac{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 \, \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{30 \, \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{30 \, \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{5 \, \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{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 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{9 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} + 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 \, {\left(10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} - \frac{2250 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} - \frac{2250 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{9 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} - 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} - 20 \, {\left(\frac{9 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{25 \, \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{450 \, \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{450 \, \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{25 \, \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 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{90 i \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} - \frac{150 i \, \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{900 i \, \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{900 i \, \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{150 i \, \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{90 i \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}\right)} c}{144000 \, d}"," ",0,"1/144000*(300*(3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) - 30*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)) - 30*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)) + 5*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)) + 3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^2 + d^2*(9*(sqrt(10)*sqrt(pi)*(100*b^2*c^2 + 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*(10*I*(d*x + c)^(3/2)*b*d - 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^2)/d^2 + 125*(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*(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 - 2250*(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*(-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 - 2250*(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*(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 + 125*(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*(-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*(sqrt(10)*sqrt(pi)*(100*b^2*c^2 - 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^2)/d^2) - 20*(9*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 25*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) - 450*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) - 450*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) + 25*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*sqrt(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 90*I*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b - 150*I*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 900*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*I*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b + 90*I*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)*c)/d","C",0
192,1,1258,0,2.148056," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{9 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{25 \, \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{450 \, \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{450 \, \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{25 \, \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 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - 30 \, {\left(\frac{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 \, \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{30 \, \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{30 \, \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{5 \, \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{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}\right)} c - \frac{90 i \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} - \frac{150 i \, \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{900 i \, \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{900 i \, \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{150 i \, \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{90 i \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}}{14400 \, d}"," ",0,"-1/14400*(9*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 25*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) - 450*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) - 450*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) + 25*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*sqrt(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 30*(3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) - 30*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)) - 30*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)) + 5*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)) + 3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c - 90*I*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b - 150*I*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 900*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*I*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b + 90*I*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)/d","C",0
193,1,1258,0,4.484613," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{9 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{25 \, \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{450 \, \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{450 \, \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{25 \, \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 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - 30 \, {\left(\frac{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 \, \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{30 \, \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{30 \, \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{5 \, \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{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}\right)} c - \frac{90 i \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} - \frac{150 i \, \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{900 i \, \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{900 i \, \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{150 i \, \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{90 i \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}}{14400 \, d}"," ",0,"-1/14400*(9*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 25*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) - 450*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) - 450*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) + 25*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*sqrt(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 30*(3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) - 30*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)) - 30*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)) + 5*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)) + 3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c - 90*I*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b - 150*I*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 900*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*I*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b + 90*I*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)/d","C",0
194,1,2293,0,7.041566," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{300 \, {\left(\frac{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 \, \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{30 \, \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{30 \, \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{5 \, \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{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 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{9 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} + 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 \, {\left(10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} - \frac{2250 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} - \frac{2250 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{9 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} - 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} - 20 \, {\left(\frac{9 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{25 \, \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{450 \, \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{450 \, \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{25 \, \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 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{90 i \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} - \frac{150 i \, \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{900 i \, \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{900 i \, \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{150 i \, \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{90 i \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}\right)} c}{144000 \, d}"," ",0,"1/144000*(300*(3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) - 30*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)) - 30*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)) + 5*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)) + 3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^2 + d^2*(9*(sqrt(10)*sqrt(pi)*(100*b^2*c^2 + 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*(10*I*(d*x + c)^(3/2)*b*d - 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^2)/d^2 + 125*(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*(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 - 2250*(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*(-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 - 2250*(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*(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 + 125*(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*(-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*(sqrt(10)*sqrt(pi)*(100*b^2*c^2 - 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^2)/d^2) - 20*(9*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 25*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) - 450*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) - 450*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) + 25*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*sqrt(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 90*I*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b - 150*I*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 900*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*I*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b + 90*I*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)*c)/d","C",0
195,1,3677,0,12.741516," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1800 \, {\left(\frac{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{5 \, \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{30 \, \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{30 \, \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{5 \, \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{3 \, \sqrt{10} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 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{9 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} + 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 \, {\left(10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} - \frac{2250 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} - \frac{2250 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{2}} + \frac{9 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(100 \, b^{2} c^{2} - 20 i \, b c d - 3 \, d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{2}} - \frac{10 \, {\left(-10 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 20 i \, \sqrt{d x + c} b c d + 3 \, \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{2}}\right)}}{d^{2}}\right)} - d^{3} {\left(\frac{27 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(200 \, b^{3} c^{3} + 60 i \, b^{2} c^{2} d - 18 \, b c d^{2} - 3 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} + \frac{10 \, {\left(20 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 60 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 60 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} - 3 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{3}} - \frac{6750 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{3}} - \frac{6750 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{3}} + \frac{125 \, {\left(\frac{\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 \, {\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}}\right)}}{d^{3}} + \frac{27 \, {\left(\frac{\sqrt{10} \sqrt{\pi} {\left(200 \, b^{3} c^{3} - 60 i \, b^{2} c^{2} d - 18 \, b c d^{2} + 3 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b^{3}} + \frac{10 \, {\left(-20 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 60 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 60 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} + 3 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b^{3}}\right)}}{d^{3}}\right)} - 180 \, {\left(\frac{9 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{5 i \, b c - 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + \frac{25 \, \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{450 \, \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{450 \, \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{25 \, \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 \, \sqrt{10} \sqrt{\pi} {\left(10 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{10} \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{-5 i \, b c + 5 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{90 i \, \sqrt{d x + c} d e^{\left(\frac{5 i \, {\left(d x + c\right)} b - 5 i \, b c + 5 i \, a d}{d}\right)}}{b} - \frac{150 i \, \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{900 i \, \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{900 i \, \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{150 i \, \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{90 i \, \sqrt{d x + c} d e^{\left(\frac{-5 i \, {\left(d x + c\right)} b + 5 i \, b c - 5 i \, a d}{d}\right)}}{b}\right)} c^{2}}{864000 \, d}"," ",0,"1/864000*(1800*(3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + 5*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)) - 30*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)) - 30*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)) + 5*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)) + 3*sqrt(10)*sqrt(pi)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)))*c^3 + 18*c*d^2*(9*(sqrt(10)*sqrt(pi)*(100*b^2*c^2 + 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*(10*I*(d*x + c)^(3/2)*b*d - 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^2)/d^2 + 125*(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*(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 - 2250*(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*(-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 - 2250*(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*(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 + 125*(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*(-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*(sqrt(10)*sqrt(pi)*(100*b^2*c^2 - 20*I*b*c*d - 3*d^2)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 10*(-10*I*(d*x + c)^(3/2)*b*d + 20*I*sqrt(d*x + c)*b*c*d + 3*sqrt(d*x + c)*d^2)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^2)/d^2) - d^3*(27*(sqrt(10)*sqrt(pi)*(200*b^3*c^3 + 60*I*b^2*c^2*d - 18*b*c*d^2 - 3*I*d^3)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) + 10*(20*I*(d*x + c)^(5/2)*b^2*d - 60*I*(d*x + c)^(3/2)*b^2*c*d + 60*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 - 3*I*sqrt(d*x + c)*d^3)*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b^3)/d^3 + 125*(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*(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 - 6750*(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*(-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 - 6750*(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*(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 + 125*(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*(-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*(sqrt(10)*sqrt(pi)*(200*b^3*c^3 - 60*I*b^2*c^2*d - 18*b*c*d^2 + 3*I*d^3)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) + 10*(-20*I*(d*x + c)^(5/2)*b^2*d + 60*I*(d*x + c)^(3/2)*b^2*c*d - 60*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 + 3*I*sqrt(d*x + c)*d^3)*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b^3)/d^3) - 180*(9*sqrt(10)*sqrt(pi)*(10*b*c + I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((5*I*b*c - 5*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) + 25*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) - 450*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) - 450*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) + 25*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*sqrt(10)*sqrt(pi)*(10*b*c - I*d)*d*erf(-1/2*sqrt(10)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-5*I*b*c + 5*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 90*I*sqrt(d*x + c)*d*e^((5*I*(d*x + c)*b - 5*I*b*c + 5*I*a*d)/d)/b - 150*I*sqrt(d*x + c)*d*e^((3*I*(d*x + c)*b - 3*I*b*c + 3*I*a*d)/d)/b + 900*I*sqrt(d*x + c)*d*e^((I*(d*x + c)*b - I*b*c + I*a*d)/d)/b - 900*I*sqrt(d*x + c)*d*e^((-I*(d*x + c)*b + I*b*c - I*a*d)/d)/b + 150*I*sqrt(d*x + c)*d*e^((-3*I*(d*x + c)*b + 3*I*b*c - 3*I*a*d)/d)/b + 90*I*sqrt(d*x + c)*d*e^((-5*I*(d*x + c)*b + 5*I*b*c - 5*I*a*d)/d)/b)*c^2)/d","C",0
196,1,2417,0,13.770847," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{576 \, {\left(-\frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{9 i \, \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{9 i \, \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)}}\right)} c^{3} + 36 \, c d^{2} {\left(\frac{-\frac{i \, \sqrt{3} \sqrt{\pi} {\left(48 \, b^{2} c^{2} + 8 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 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(-4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 8 i \, \sqrt{d x + c} b c d - \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{\frac{i \, \sqrt{3} \sqrt{\pi} {\left(48 \, b^{2} c^{2} - 8 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 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(-4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 8 i \, \sqrt{d x + c} b c d + \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{9 \, {\left(\frac{i \, \sqrt{\pi} {\left(48 \, b^{2} c^{2} + 24 i \, b c d - 9 \, 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 i \, {\left(12 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 24 i \, \sqrt{d x + c} b c d + 9 \, \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{9 \, {\left(-\frac{i \, \sqrt{\pi} {\left(48 \, b^{2} c^{2} - 24 i \, b c d - 9 \, 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 i \, {\left(12 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 24 i \, \sqrt{d x + c} b c d - 9 \, \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{\frac{i \, \sqrt{3} \sqrt{\pi} {\left(576 \, b^{3} c^{3} + 144 i \, b^{2} c^{2} d - 36 \, b c d^{2} - 5 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 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(-48 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 144 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 144 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} + 5 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{-\frac{i \, \sqrt{3} \sqrt{\pi} {\left(576 \, b^{3} c^{3} - 144 i \, b^{2} c^{2} d - 36 \, b c d^{2} + 5 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 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(-48 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 144 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 144 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} + 5 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{27 \, {\left(-\frac{i \, \sqrt{\pi} {\left(192 \, b^{3} c^{3} + 144 i \, b^{2} c^{2} d - 108 \, b c d^{2} - 45 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 i \, {\left(48 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 144 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 144 i \, \sqrt{d x + c} b^{2} c^{2} d + 60 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 108 \, \sqrt{d x + c} b c d^{2} - 45 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{27 \, {\left(\frac{i \, \sqrt{\pi} {\left(192 \, b^{3} c^{3} - 144 i \, b^{2} c^{2} d - 108 \, b c d^{2} + 45 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 i \, {\left(48 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 144 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 144 i \, \sqrt{d x + c} b^{2} c^{2} d - 60 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + 108 \, \sqrt{d x + c} b c d^{2} - 45 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)} + 144 \, {\left(\frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 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{\pi} {\left(12 \, b c + 3 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{9 i \, \sqrt{\pi} {\left(12 \, b c - 3 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{6 \, \sqrt{d x + c} d e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b} + \frac{54 \, \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{54 \, \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 \, \sqrt{d x + c} d e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b}\right)} c^{2}}{110592 \, d}"," ",0,"-1/110592*(576*(-I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 9*I*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)) - 9*I*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)))*c^3 + 36*c*d^2*((-I*sqrt(3)*sqrt(pi)*(48*b^2*c^2 + 8*I*b*c*d - d^2)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-4*I*(d*x + c)^(3/2)*b*d + 8*I*sqrt(d*x + c)*b*c*d - sqrt(d*x + c)*d^2)*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b^2)/d^2 + (I*sqrt(3)*sqrt(pi)*(48*b^2*c^2 - 8*I*b*c*d - d^2)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-4*I*(d*x + c)^(3/2)*b*d + 8*I*sqrt(d*x + c)*b*c*d + sqrt(d*x + c)*d^2)*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b^2)/d^2 + 9*(I*sqrt(pi)*(48*b^2*c^2 + 24*I*b*c*d - 9*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*I*(12*I*(d*x + c)^(3/2)*b*d - 24*I*sqrt(d*x + c)*b*c*d + 9*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 + 9*(-I*sqrt(pi)*(48*b^2*c^2 - 24*I*b*c*d - 9*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*I*(12*I*(d*x + c)^(3/2)*b*d - 24*I*sqrt(d*x + c)*b*c*d - 9*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*((I*sqrt(3)*sqrt(pi)*(576*b^3*c^3 + 144*I*b^2*c^2*d - 36*b*c*d^2 - 5*I*d^3)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 6*I*(-48*I*(d*x + c)^(5/2)*b^2*d + 144*I*(d*x + c)^(3/2)*b^2*c*d - 144*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 + 5*I*sqrt(d*x + c)*d^3)*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b^3)/d^3 + (-I*sqrt(3)*sqrt(pi)*(576*b^3*c^3 - 144*I*b^2*c^2*d - 36*b*c*d^2 + 5*I*d^3)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 6*I*(-48*I*(d*x + c)^(5/2)*b^2*d + 144*I*(d*x + c)^(3/2)*b^2*c*d - 144*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 + 5*I*sqrt(d*x + c)*d^3)*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b^3)/d^3 + 27*(-I*sqrt(pi)*(192*b^3*c^3 + 144*I*b^2*c^2*d - 108*b*c*d^2 - 45*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*I*(48*I*(d*x + c)^(5/2)*b^2*d - 144*I*(d*x + c)^(3/2)*b^2*c*d + 144*I*sqrt(d*x + c)*b^2*c^2*d + 60*(d*x + c)^(3/2)*b*d^2 - 108*sqrt(d*x + c)*b*c*d^2 - 45*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 + 27*(I*sqrt(pi)*(192*b^3*c^3 - 144*I*b^2*c^2*d - 108*b*c*d^2 + 45*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*I*(48*I*(d*x + c)^(5/2)*b^2*d - 144*I*(d*x + c)^(3/2)*b^2*c*d + 144*I*sqrt(d*x + c)*b^2*c^2*d - 60*(d*x + c)^(3/2)*b*d^2 + 108*sqrt(d*x + c)*b*c*d^2 - 45*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) + 144*(I*sqrt(3)*sqrt(pi)*(12*b*c + I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(3)*sqrt(pi)*(12*b*c - I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 9*I*sqrt(pi)*(12*b*c + 3*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) + 9*I*sqrt(pi)*(12*b*c - 3*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) - 6*sqrt(d*x + c)*d*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 6*sqrt(d*x + c)*d*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b)*c^2)/d","C",0
197,1,1502,0,12.684132," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{48 \, {\left(-\frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{9 i \, \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{9 i \, \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)}}\right)} c^{2} + d^{2} {\left(\frac{-\frac{i \, \sqrt{3} \sqrt{\pi} {\left(48 \, b^{2} c^{2} + 8 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 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(-4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 8 i \, \sqrt{d x + c} b c d - \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{\frac{i \, \sqrt{3} \sqrt{\pi} {\left(48 \, b^{2} c^{2} - 8 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 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(-4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 8 i \, \sqrt{d x + c} b c d + \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{9 \, {\left(\frac{i \, \sqrt{\pi} {\left(48 \, b^{2} c^{2} + 24 i \, b c d - 9 \, 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 i \, {\left(12 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 24 i \, \sqrt{d x + c} b c d + 9 \, \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{9 \, {\left(-\frac{i \, \sqrt{\pi} {\left(48 \, b^{2} c^{2} - 24 i \, b c d - 9 \, 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 i \, {\left(12 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 24 i \, \sqrt{d x + c} b c d - 9 \, \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)} + 8 \, {\left(\frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 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{\pi} {\left(12 \, b c + 3 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{9 i \, \sqrt{\pi} {\left(12 \, b c - 3 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{6 \, \sqrt{d x + c} d e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b} + \frac{54 \, \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{54 \, \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 \, \sqrt{d x + c} d e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b}\right)} c}{9216 \, d}"," ",0,"-1/9216*(48*(-I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 9*I*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)) - 9*I*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)))*c^2 + d^2*((-I*sqrt(3)*sqrt(pi)*(48*b^2*c^2 + 8*I*b*c*d - d^2)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-4*I*(d*x + c)^(3/2)*b*d + 8*I*sqrt(d*x + c)*b*c*d - sqrt(d*x + c)*d^2)*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b^2)/d^2 + (I*sqrt(3)*sqrt(pi)*(48*b^2*c^2 - 8*I*b*c*d - d^2)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-4*I*(d*x + c)^(3/2)*b*d + 8*I*sqrt(d*x + c)*b*c*d + sqrt(d*x + c)*d^2)*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b^2)/d^2 + 9*(I*sqrt(pi)*(48*b^2*c^2 + 24*I*b*c*d - 9*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*I*(12*I*(d*x + c)^(3/2)*b*d - 24*I*sqrt(d*x + c)*b*c*d + 9*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 + 9*(-I*sqrt(pi)*(48*b^2*c^2 - 24*I*b*c*d - 9*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*I*(12*I*(d*x + c)^(3/2)*b*d - 24*I*sqrt(d*x + c)*b*c*d - 9*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) + 8*(I*sqrt(3)*sqrt(pi)*(12*b*c + I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(3)*sqrt(pi)*(12*b*c - I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 9*I*sqrt(pi)*(12*b*c + 3*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) + 9*I*sqrt(pi)*(12*b*c - 3*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) - 6*sqrt(d*x + c)*d*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 6*sqrt(d*x + c)*d*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b)*c)/d","C",0
198,1,818,0,7.825121," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + 12 \, {\left(-\frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{9 i \, \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{9 i \, \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)}}\right)} c - \frac{9 i \, \sqrt{\pi} {\left(12 \, b c + 3 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{9 i \, \sqrt{\pi} {\left(12 \, b c - 3 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{6 \, \sqrt{d x + c} d e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b} + \frac{54 \, \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{54 \, \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 \, \sqrt{d x + c} d e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b}}{2304 \, d}"," ",0,"-1/2304*(I*sqrt(3)*sqrt(pi)*(12*b*c + I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(3)*sqrt(pi)*(12*b*c - I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 12*(-I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 9*I*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)) - 9*I*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)))*c - 9*I*sqrt(pi)*(12*b*c + 3*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) + 9*I*sqrt(pi)*(12*b*c - 3*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) - 6*sqrt(d*x + c)*d*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 6*sqrt(d*x + c)*d*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b)/d","C",0
199,1,818,0,3.739926," ","integrate((d*x+c)^(1/2)*cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} + 12 \, {\left(-\frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{9 i \, \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{9 i \, \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)}}\right)} c - \frac{9 i \, \sqrt{\pi} {\left(12 \, b c + 3 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{9 i \, \sqrt{\pi} {\left(12 \, b c - 3 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{6 \, \sqrt{d x + c} d e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b} + \frac{54 \, \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{54 \, \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 \, \sqrt{d x + c} d e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b}}{2304 \, d}"," ",0,"-1/2304*(I*sqrt(3)*sqrt(pi)*(12*b*c + I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(3)*sqrt(pi)*(12*b*c - I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) + 12*(-I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 9*I*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)) - 9*I*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)))*c - 9*I*sqrt(pi)*(12*b*c + 3*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) + 9*I*sqrt(pi)*(12*b*c - 3*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) - 6*sqrt(d*x + c)*d*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 6*sqrt(d*x + c)*d*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b)/d","C",0
200,1,1502,0,13.118623," ","integrate((d*x+c)^(3/2)*cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{48 \, {\left(-\frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{9 i \, \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{9 i \, \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)}}\right)} c^{2} + d^{2} {\left(\frac{-\frac{i \, \sqrt{3} \sqrt{\pi} {\left(48 \, b^{2} c^{2} + 8 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 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(-4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 8 i \, \sqrt{d x + c} b c d - \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{\frac{i \, \sqrt{3} \sqrt{\pi} {\left(48 \, b^{2} c^{2} - 8 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 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(-4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 8 i \, \sqrt{d x + c} b c d + \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{9 \, {\left(\frac{i \, \sqrt{\pi} {\left(48 \, b^{2} c^{2} + 24 i \, b c d - 9 \, 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 i \, {\left(12 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 24 i \, \sqrt{d x + c} b c d + 9 \, \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{9 \, {\left(-\frac{i \, \sqrt{\pi} {\left(48 \, b^{2} c^{2} - 24 i \, b c d - 9 \, 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 i \, {\left(12 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 24 i \, \sqrt{d x + c} b c d - 9 \, \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)} + 8 \, {\left(\frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 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{\pi} {\left(12 \, b c + 3 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{9 i \, \sqrt{\pi} {\left(12 \, b c - 3 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{6 \, \sqrt{d x + c} d e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b} + \frac{54 \, \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{54 \, \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 \, \sqrt{d x + c} d e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b}\right)} c}{9216 \, d}"," ",0,"-1/9216*(48*(-I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 9*I*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)) - 9*I*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)))*c^2 + d^2*((-I*sqrt(3)*sqrt(pi)*(48*b^2*c^2 + 8*I*b*c*d - d^2)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-4*I*(d*x + c)^(3/2)*b*d + 8*I*sqrt(d*x + c)*b*c*d - sqrt(d*x + c)*d^2)*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b^2)/d^2 + (I*sqrt(3)*sqrt(pi)*(48*b^2*c^2 - 8*I*b*c*d - d^2)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-4*I*(d*x + c)^(3/2)*b*d + 8*I*sqrt(d*x + c)*b*c*d + sqrt(d*x + c)*d^2)*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b^2)/d^2 + 9*(I*sqrt(pi)*(48*b^2*c^2 + 24*I*b*c*d - 9*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*I*(12*I*(d*x + c)^(3/2)*b*d - 24*I*sqrt(d*x + c)*b*c*d + 9*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 + 9*(-I*sqrt(pi)*(48*b^2*c^2 - 24*I*b*c*d - 9*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*I*(12*I*(d*x + c)^(3/2)*b*d - 24*I*sqrt(d*x + c)*b*c*d - 9*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) + 8*(I*sqrt(3)*sqrt(pi)*(12*b*c + I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(3)*sqrt(pi)*(12*b*c - I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 9*I*sqrt(pi)*(12*b*c + 3*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) + 9*I*sqrt(pi)*(12*b*c - 3*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) - 6*sqrt(d*x + c)*d*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 6*sqrt(d*x + c)*d*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b)*c)/d","C",0
201,1,2417,0,16.883890," ","integrate((d*x+c)^(5/2)*cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{576 \, {\left(-\frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{i \, \sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}} + \frac{9 i \, \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{9 i \, \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)}}\right)} c^{3} + 36 \, c d^{2} {\left(\frac{-\frac{i \, \sqrt{3} \sqrt{\pi} {\left(48 \, b^{2} c^{2} + 8 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 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(-4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 8 i \, \sqrt{d x + c} b c d - \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{\frac{i \, \sqrt{3} \sqrt{\pi} {\left(48 \, b^{2} c^{2} - 8 i \, b c d - d^{2}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 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(-4 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d + 8 i \, \sqrt{d x + c} b c d + \sqrt{d x + c} d^{2}\right)} e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b^{2}}}{d^{2}} + \frac{9 \, {\left(\frac{i \, \sqrt{\pi} {\left(48 \, b^{2} c^{2} + 24 i \, b c d - 9 \, 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 i \, {\left(12 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 24 i \, \sqrt{d x + c} b c d + 9 \, \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{9 \, {\left(-\frac{i \, \sqrt{\pi} {\left(48 \, b^{2} c^{2} - 24 i \, b c d - 9 \, 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 i \, {\left(12 i \, {\left(d x + c\right)}^{\frac{3}{2}} b d - 24 i \, \sqrt{d x + c} b c d - 9 \, \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{\frac{i \, \sqrt{3} \sqrt{\pi} {\left(576 \, b^{3} c^{3} + 144 i \, b^{2} c^{2} d - 36 \, b c d^{2} - 5 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 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(-48 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 144 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 144 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} + 5 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{-\frac{i \, \sqrt{3} \sqrt{\pi} {\left(576 \, b^{3} c^{3} - 144 i \, b^{2} c^{2} d - 36 \, b c d^{2} + 5 i \, d^{3}\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 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(-48 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d + 144 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d - 144 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} + 5 i \, \sqrt{d x + c} d^{3}\right)} e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b^{3}}}{d^{3}} + \frac{27 \, {\left(-\frac{i \, \sqrt{\pi} {\left(192 \, b^{3} c^{3} + 144 i \, b^{2} c^{2} d - 108 \, b c d^{2} - 45 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 i \, {\left(48 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 144 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 144 i \, \sqrt{d x + c} b^{2} c^{2} d + 60 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} - 108 \, \sqrt{d x + c} b c d^{2} - 45 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{27 \, {\left(\frac{i \, \sqrt{\pi} {\left(192 \, b^{3} c^{3} - 144 i \, b^{2} c^{2} d - 108 \, b c d^{2} + 45 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 i \, {\left(48 i \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d - 144 i \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d + 144 i \, \sqrt{d x + c} b^{2} c^{2} d - 60 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{2} + 108 \, \sqrt{d x + c} b c d^{2} - 45 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)} + 144 \, {\left(\frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c + i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{6 i \, b c - 6 i \, a d}{d}\right)}}{\sqrt{b d} {\left(\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)} b} - \frac{i \, \sqrt{3} \sqrt{\pi} {\left(12 \, b c - i \, d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{b d} \sqrt{d x + c} {\left(-\frac{i \, b d}{\sqrt{b^{2} d^{2}}} + 1\right)}}{d}\right) e^{\left(\frac{-6 i \, b c + 6 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{\pi} {\left(12 \, b c + 3 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{9 i \, \sqrt{\pi} {\left(12 \, b c - 3 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{6 \, \sqrt{d x + c} d e^{\left(\frac{6 i \, {\left(d x + c\right)} b - 6 i \, b c + 6 i \, a d}{d}\right)}}{b} + \frac{54 \, \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{54 \, \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 \, \sqrt{d x + c} d e^{\left(\frac{-6 i \, {\left(d x + c\right)} b + 6 i \, b c - 6 i \, a d}{d}\right)}}{b}\right)} c^{2}}{110592 \, d}"," ",0,"-1/110592*(576*(-I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)) + I*sqrt(3)*sqrt(pi)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)) + 9*I*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)) - 9*I*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)))*c^3 + 36*c*d^2*((-I*sqrt(3)*sqrt(pi)*(48*b^2*c^2 + 8*I*b*c*d - d^2)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-4*I*(d*x + c)^(3/2)*b*d + 8*I*sqrt(d*x + c)*b*c*d - sqrt(d*x + c)*d^2)*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b^2)/d^2 + (I*sqrt(3)*sqrt(pi)*(48*b^2*c^2 - 8*I*b*c*d - d^2)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^2) - 6*I*(-4*I*(d*x + c)^(3/2)*b*d + 8*I*sqrt(d*x + c)*b*c*d + sqrt(d*x + c)*d^2)*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b^2)/d^2 + 9*(I*sqrt(pi)*(48*b^2*c^2 + 24*I*b*c*d - 9*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*I*(12*I*(d*x + c)^(3/2)*b*d - 24*I*sqrt(d*x + c)*b*c*d + 9*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 + 9*(-I*sqrt(pi)*(48*b^2*c^2 - 24*I*b*c*d - 9*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*I*(12*I*(d*x + c)^(3/2)*b*d - 24*I*sqrt(d*x + c)*b*c*d - 9*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*((I*sqrt(3)*sqrt(pi)*(576*b^3*c^3 + 144*I*b^2*c^2*d - 36*b*c*d^2 - 5*I*d^3)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 6*I*(-48*I*(d*x + c)^(5/2)*b^2*d + 144*I*(d*x + c)^(3/2)*b^2*c*d - 144*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 + 5*I*sqrt(d*x + c)*d^3)*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b^3)/d^3 + (-I*sqrt(3)*sqrt(pi)*(576*b^3*c^3 - 144*I*b^2*c^2*d - 36*b*c*d^2 + 5*I*d^3)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b^3) - 6*I*(-48*I*(d*x + c)^(5/2)*b^2*d + 144*I*(d*x + c)^(3/2)*b^2*c*d - 144*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 + 5*I*sqrt(d*x + c)*d^3)*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b^3)/d^3 + 27*(-I*sqrt(pi)*(192*b^3*c^3 + 144*I*b^2*c^2*d - 108*b*c*d^2 - 45*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*I*(48*I*(d*x + c)^(5/2)*b^2*d - 144*I*(d*x + c)^(3/2)*b^2*c*d + 144*I*sqrt(d*x + c)*b^2*c^2*d + 60*(d*x + c)^(3/2)*b*d^2 - 108*sqrt(d*x + c)*b*c*d^2 - 45*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 + 27*(I*sqrt(pi)*(192*b^3*c^3 - 144*I*b^2*c^2*d - 108*b*c*d^2 + 45*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*I*(48*I*(d*x + c)^(5/2)*b^2*d - 144*I*(d*x + c)^(3/2)*b^2*c*d + 144*I*sqrt(d*x + c)*b^2*c^2*d - 60*(d*x + c)^(3/2)*b*d^2 + 108*sqrt(d*x + c)*b*c*d^2 - 45*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) + 144*(I*sqrt(3)*sqrt(pi)*(12*b*c + I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((6*I*b*c - 6*I*a*d)/d)/(sqrt(b*d)*(I*b*d/sqrt(b^2*d^2) + 1)*b) - I*sqrt(3)*sqrt(pi)*(12*b*c - I*d)*d*erf(-sqrt(3)*sqrt(b*d)*sqrt(d*x + c)*(-I*b*d/sqrt(b^2*d^2) + 1)/d)*e^((-6*I*b*c + 6*I*a*d)/d)/(sqrt(b*d)*(-I*b*d/sqrt(b^2*d^2) + 1)*b) - 9*I*sqrt(pi)*(12*b*c + 3*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) + 9*I*sqrt(pi)*(12*b*c - 3*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) - 6*sqrt(d*x + c)*d*e^((6*I*(d*x + c)*b - 6*I*b*c + 6*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((2*I*(d*x + c)*b - 2*I*b*c + 2*I*a*d)/d)/b + 54*sqrt(d*x + c)*d*e^((-2*I*(d*x + c)*b + 2*I*b*c - 2*I*a*d)/d)/b - 6*sqrt(d*x + c)*d*e^((-6*I*(d*x + c)*b + 6*I*b*c - 6*I*a*d)/d)/b)*c^2)/d","C",0
202,0,0,0,0.000000," ","integrate(x^3*cos(x)^2*cot(x)^2,x, algorithm=""giac"")","\int x^{3} \cos\left(x\right)^{2} \cot\left(x\right)^{2}\,{d x}"," ",0,"integrate(x^3*cos(x)^2*cot(x)^2, x)","F",0
203,0,0,0,0.000000," ","integrate(x^2*cos(x)^2*cot(x)^2,x, algorithm=""giac"")","\int x^{2} \cos\left(x\right)^{2} \cot\left(x\right)^{2}\,{d x}"," ",0,"integrate(x^2*cos(x)^2*cot(x)^2, x)","F",0
204,1,206,0,0.223651," ","integrate(x*cos(x)^2*cot(x)^2,x, algorithm=""giac"")","-\frac{6 \, x^{2} \tan\left(\frac{1}{2} \, x\right)^{5} - 4 \, x \tan\left(\frac{1}{2} \, x\right)^{6} - 4 \, \log\left(\frac{16 \, \tan\left(\frac{1}{2} \, x\right)^{2}}{\tan\left(\frac{1}{2} \, x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, x\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, x\right)^{5} + 12 \, x^{2} \tan\left(\frac{1}{2} \, x\right)^{3} - 12 \, x \tan\left(\frac{1}{2} \, x\right)^{4} + \tan\left(\frac{1}{2} \, x\right)^{5} - 8 \, \log\left(\frac{16 \, \tan\left(\frac{1}{2} \, x\right)^{2}}{\tan\left(\frac{1}{2} \, x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, x\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, x\right)^{3} + 6 \, x^{2} \tan\left(\frac{1}{2} \, x\right) + 12 \, x \tan\left(\frac{1}{2} \, x\right)^{2} - 6 \, \tan\left(\frac{1}{2} \, x\right)^{3} - 4 \, \log\left(\frac{16 \, \tan\left(\frac{1}{2} \, x\right)^{2}}{\tan\left(\frac{1}{2} \, x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, x\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, x\right) + 4 \, x + \tan\left(\frac{1}{2} \, x\right)}{8 \, {\left(\tan\left(\frac{1}{2} \, x\right)^{5} + 2 \, \tan\left(\frac{1}{2} \, x\right)^{3} + \tan\left(\frac{1}{2} \, x\right)\right)}}"," ",0,"-1/8*(6*x^2*tan(1/2*x)^5 - 4*x*tan(1/2*x)^6 - 4*log(16*tan(1/2*x)^2/(tan(1/2*x)^4 + 2*tan(1/2*x)^2 + 1))*tan(1/2*x)^5 + 12*x^2*tan(1/2*x)^3 - 12*x*tan(1/2*x)^4 + tan(1/2*x)^5 - 8*log(16*tan(1/2*x)^2/(tan(1/2*x)^4 + 2*tan(1/2*x)^2 + 1))*tan(1/2*x)^3 + 6*x^2*tan(1/2*x) + 12*x*tan(1/2*x)^2 - 6*tan(1/2*x)^3 - 4*log(16*tan(1/2*x)^2/(tan(1/2*x)^4 + 2*tan(1/2*x)^2 + 1))*tan(1/2*x) + 4*x + tan(1/2*x))/(tan(1/2*x)^5 + 2*tan(1/2*x)^3 + tan(1/2*x))","B",0
205,0,0,0,0.000000," ","integrate(x^3*cos(x)^2*cot(x)^3,x, algorithm=""giac"")","\int x^{3} \cos\left(x\right)^{2} \cot\left(x\right)^{3}\,{d x}"," ",0,"integrate(x^3*cos(x)^2*cot(x)^3, x)","F",0
206,0,0,0,0.000000," ","integrate(x^2*cos(x)^2*cot(x)^3,x, algorithm=""giac"")","\int x^{2} \cos\left(x\right)^{2} \cot\left(x\right)^{3}\,{d x}"," ",0,"integrate(x^2*cos(x)^2*cot(x)^3, x)","F",0
207,0,0,0,0.000000," ","integrate(x*cos(x)^2*cot(x)^3,x, algorithm=""giac"")","\int x \cos\left(x\right)^{2} \cot\left(x\right)^{3}\,{d x}"," ",0,"integrate(x*cos(x)^2*cot(x)^3, x)","F",0
208,0,0,0,0.000000," ","integrate((d*x+c)^m*sec(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \sec\left(b x + a\right) \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*sec(b*x + a)*sin(b*x + a), x)","F",0
209,0,0,0,0.000000," ","integrate((d*x+c)^4*sec(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \sec\left(b x + a\right) \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^4*sec(b*x + a)*sin(b*x + a), x)","F",0
210,0,0,0,0.000000," ","integrate((d*x+c)^3*sec(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \sec\left(b x + a\right) \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*sec(b*x + a)*sin(b*x + a), x)","F",0
211,0,0,0,0.000000," ","integrate((d*x+c)^2*sec(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \sec\left(b x + a\right) \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*sec(b*x + a)*sin(b*x + a), x)","F",0
212,0,0,0,0.000000," ","integrate((d*x+c)*sec(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \sec\left(b x + a\right) \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)*sec(b*x + a)*sin(b*x + a), x)","F",0
213,0,0,0,0.000000," ","integrate(sec(b*x+a)*sin(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \sin\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(sec(b*x + a)*sin(b*x + a)/(d*x + c), x)","F",0
214,0,0,0,0.000000," ","integrate(sec(b*x+a)*sin(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \sin\left(b x + a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sec(b*x + a)*sin(b*x + a)/(d*x + c)^2, x)","F",0
215,0,0,0,0.000000," ","integrate((d*x+c)^m*sec(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \sec\left(b x + a\right) \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*sec(b*x + a)*sin(b*x + a)^2, x)","F",0
216,0,0,0,0.000000," ","integrate((d*x+c)^3*sec(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \sec\left(b x + a\right) \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*sec(b*x + a)*sin(b*x + a)^2, x)","F",0
217,0,0,0,0.000000," ","integrate((d*x+c)^2*sec(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \sec\left(b x + a\right) \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*sec(b*x + a)*sin(b*x + a)^2, x)","F",0
218,0,0,0,0.000000," ","integrate((d*x+c)*sec(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)} \sec\left(b x + a\right) \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)*sec(b*x + a)*sin(b*x + a)^2, x)","F",0
219,0,0,0,0.000000," ","integrate(sec(b*x+a)*sin(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \sin\left(b x + a\right)^{2}}{d x + c}\,{d x}"," ",0,"integrate(sec(b*x + a)*sin(b*x + a)^2/(d*x + c), x)","F",0
220,0,0,0,0.000000," ","integrate(sec(b*x+a)*sin(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \sin\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sec(b*x + a)*sin(b*x + a)^2/(d*x + c)^2, x)","F",0
221,0,0,0,0.000000," ","integrate((d*x+c)^m*sec(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \sec\left(b x + a\right) \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*sec(b*x + a)*sin(b*x + a)^3, x)","F",0
222,0,0,0,0.000000," ","integrate((d*x+c)^3*sec(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \sec\left(b x + a\right) \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^3*sec(b*x + a)*sin(b*x + a)^3, x)","F",0
223,0,0,0,0.000000," ","integrate((d*x+c)^2*sec(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \sec\left(b x + a\right) \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^2*sec(b*x + a)*sin(b*x + a)^3, x)","F",0
224,0,0,0,0.000000," ","integrate((d*x+c)*sec(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)} \sec\left(b x + a\right) \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)*sec(b*x + a)*sin(b*x + a)^3, x)","F",0
225,0,0,0,0.000000," ","integrate(sec(b*x+a)*sin(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \sin\left(b x + a\right)^{3}}{d x + c}\,{d x}"," ",0,"integrate(sec(b*x + a)*sin(b*x + a)^3/(d*x + c), x)","F",0
226,0,0,0,0.000000," ","integrate(sec(b*x+a)*sin(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \sin\left(b x + a\right)^{3}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sec(b*x + a)*sin(b*x + a)^3/(d*x + c)^2, x)","F",0
227,0,0,0,0.000000," ","integrate((d*x+c)^m*csc(b*x+a)*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \csc\left(b x + a\right) \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*csc(b*x + a)*sec(b*x + a), x)","F",0
228,0,0,0,0.000000," ","integrate((d*x+c)^4*csc(b*x+a)*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \csc\left(b x + a\right) \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^4*csc(b*x + a)*sec(b*x + a), x)","F",0
229,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right) \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)*sec(b*x + a), x)","F",0
230,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right) \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)*sec(b*x + a), x)","F",0
231,0,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a)*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \csc\left(b x + a\right) \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)*csc(b*x + a)*sec(b*x + a), x)","F",0
232,0,0,0,0.000000," ","integrate(csc(b*x+a)*sec(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right) \sec\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(csc(b*x + a)*sec(b*x + a)/(d*x + c), x)","F",0
233,0,0,0,0.000000," ","integrate(csc(b*x+a)*sec(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right) \sec\left(b x + a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(csc(b*x + a)*sec(b*x + a)/(d*x + c)^2, x)","F",0
234,0,0,0,0.000000," ","integrate((d*x+c)^m*csc(b*x+a)^2*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*csc(b*x + a)^2*sec(b*x + a), x)","F",0
235,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)^2*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)^2*sec(b*x + a), x)","F",0
236,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)^2*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)^2*sec(b*x + a), x)","F",0
237,0,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a)^2*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)*csc(b*x + a)^2*sec(b*x + a), x)","F",0
238,0,0,0,0.000000," ","integrate(csc(b*x+a)^2*sec(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2} \sec\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(csc(b*x + a)^2*sec(b*x + a)/(d*x + c), x)","F",0
239,0,0,0,0.000000," ","integrate(csc(b*x+a)^2*sec(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
240,0,0,0,0.000000," ","integrate((d*x+c)^m*csc(b*x+a)^3*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*csc(b*x + a)^3*sec(b*x + a), x)","F",0
241,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)^3*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)^3*sec(b*x + a), x)","F",0
242,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)^3*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)^3*sec(b*x + a), x)","F",0
243,0,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a)^3*sec(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)*csc(b*x + a)^3*sec(b*x + a), x)","F",0
244,0,0,0,0.000000," ","integrate(csc(b*x+a)^3*sec(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{3} \sec\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(csc(b*x + a)^3*sec(b*x + a)/(d*x + c), x)","F",0
245,-1,0,0,0.000000," ","integrate(csc(b*x+a)^3*sec(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
246,0,0,0,0.000000," ","integrate((d*x+c)^m*sec(b*x+a)*tan(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \sec\left(b x + a\right) \tan\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*sec(b*x + a)*tan(b*x + a), x)","F",0
247,0,0,0,0.000000," ","integrate((d*x+c)^4*sec(b*x+a)*tan(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \sec\left(b x + a\right) \tan\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^4*sec(b*x + a)*tan(b*x + a), x)","F",0
248,0,0,0,0.000000," ","integrate((d*x+c)^3*sec(b*x+a)*tan(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \sec\left(b x + a\right) \tan\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*sec(b*x + a)*tan(b*x + a), x)","F",0
249,0,0,0,0.000000," ","integrate((d*x+c)^2*sec(b*x+a)*tan(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \sec\left(b x + a\right) \tan\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*sec(b*x + a)*tan(b*x + a), x)","F",0
250,1,1537,0,1.308258," ","integrate((d*x+c)*sec(b*x+a)*tan(b*x+a),x, algorithm=""giac"")","\frac{2 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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)^{2} - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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)^{2} + 2 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b d x \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{2} - 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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) + 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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} \, a\right)^{2} - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right)^{2} + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b d x + 2 \, b c + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right)}{2 \, {\left(b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} - 4 \, b^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - b^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2}\right)}}"," ",0,"1/2*(2*b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*b*c*tan(1/2*b*x)^2*tan(1/2*a)^2 + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^2*tan(1/2*a)^2 - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*b*d*x*tan(1/2*b*x)^2 + 2*b*d*x*tan(1/2*a)^2 + 2*b*c*tan(1/2*b*x)^2 - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^2 + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^2 - 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a) + 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a) + 2*b*c*tan(1/2*a)^2 - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*a)^2 + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*a)^2 + 2*b*d*x + 2*b*c + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1)) - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1)))/(b^2*tan(1/2*b*x)^2*tan(1/2*a)^2 - b^2*tan(1/2*b*x)^2 - 4*b^2*tan(1/2*b*x)*tan(1/2*a) - b^2*tan(1/2*a)^2 + b^2)","B",0
251,0,0,0,0.000000," ","integrate(sec(b*x+a)*tan(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \tan\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(sec(b*x + a)*tan(b*x + a)/(d*x + c), x)","F",0
252,0,0,0,0.000000," ","integrate(sec(b*x+a)*tan(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \tan\left(b x + a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sec(b*x + a)*tan(b*x + a)/(d*x + c)^2, x)","F",0
253,0,0,0,0.000000," ","integrate((d*x+c)^m*tan(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*tan(b*x + a)^2, x)","F",0
254,0,0,0,0.000000," ","integrate((d*x+c)^3*tan(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*tan(b*x + a)^2, x)","F",0
255,0,0,0,0.000000," ","integrate((d*x+c)^2*tan(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*tan(b*x + a)^2, x)","F",0
256,1,223,0,0.561095," ","integrate((d*x+c)*tan(b*x+a)^2,x, algorithm=""giac"")","-\frac{b^{2} d x^{2} \tan\left(b x\right) \tan\left(a\right) + 2 \, b^{2} c x \tan\left(b x\right) \tan\left(a\right) - b^{2} d x^{2} - 2 \, b^{2} c x + 2 \, b d x \tan\left(b x\right) + 2 \, b d x \tan\left(a\right) - d \log\left(\frac{4 \, {\left(\tan\left(b x\right)^{4} \tan\left(a\right)^{2} - 2 \, \tan\left(b x\right)^{3} \tan\left(a\right) + \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + \tan\left(b x\right)^{2} - 2 \, \tan\left(b x\right) \tan\left(a\right) + 1\right)}}{\tan\left(a\right)^{2} + 1}\right) \tan\left(b x\right) \tan\left(a\right) + 2 \, b c \tan\left(b x\right) + 2 \, b c \tan\left(a\right) + d \log\left(\frac{4 \, {\left(\tan\left(b x\right)^{4} \tan\left(a\right)^{2} - 2 \, \tan\left(b x\right)^{3} \tan\left(a\right) + \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + \tan\left(b x\right)^{2} - 2 \, \tan\left(b x\right) \tan\left(a\right) + 1\right)}}{\tan\left(a\right)^{2} + 1}\right)}{2 \, {\left(b^{2} \tan\left(b x\right) \tan\left(a\right) - b^{2}\right)}}"," ",0,"-1/2*(b^2*d*x^2*tan(b*x)*tan(a) + 2*b^2*c*x*tan(b*x)*tan(a) - b^2*d*x^2 - 2*b^2*c*x + 2*b*d*x*tan(b*x) + 2*b*d*x*tan(a) - d*log(4*(tan(b*x)^4*tan(a)^2 - 2*tan(b*x)^3*tan(a) + tan(b*x)^2*tan(a)^2 + tan(b*x)^2 - 2*tan(b*x)*tan(a) + 1)/(tan(a)^2 + 1))*tan(b*x)*tan(a) + 2*b*c*tan(b*x) + 2*b*c*tan(a) + d*log(4*(tan(b*x)^4*tan(a)^2 - 2*tan(b*x)^3*tan(a) + tan(b*x)^2*tan(a)^2 + tan(b*x)^2 - 2*tan(b*x)*tan(a) + 1)/(tan(a)^2 + 1)))/(b^2*tan(b*x)*tan(a) - b^2)","B",0
257,0,0,0,0.000000," ","integrate(tan(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{\tan\left(b x + a\right)^{2}}{d x + c}\,{d x}"," ",0,"integrate(tan(b*x + a)^2/(d*x + c), x)","F",0
258,0,0,0,0.000000," ","integrate(tan(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\tan\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(tan(b*x + a)^2/(d*x + c)^2, x)","F",0
259,0,0,0,0.000000," ","integrate((d*x+c)^m*sin(b*x+a)*tan(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \sin\left(b x + a\right) \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*sin(b*x + a)*tan(b*x + a)^2, x)","F",0
260,0,0,0,0.000000," ","integrate((d*x+c)^3*sin(b*x+a)*tan(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \sin\left(b x + a\right) \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*sin(b*x + a)*tan(b*x + a)^2, x)","F",0
261,0,0,0,0.000000," ","integrate((d*x+c)^2*sin(b*x+a)*tan(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \sin\left(b x + a\right) \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*sin(b*x + a)*tan(b*x + a)^2, x)","F",0
262,1,2762,0,7.901167," ","integrate((d*x+c)*sin(b*x+a)*tan(b*x+a)^2,x, algorithm=""giac"")","\frac{4 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b c \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} - 16 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 16 \, b c \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{4} + 16 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 48 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 16 \, b d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, b d x \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b c \tan\left(\frac{1}{2} \, b x\right)^{4} - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} + 16 \, b c \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 4 \, d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 48 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 24 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 16 \, b c \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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)^{3} + 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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)^{3} - 24 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, b c \tan\left(\frac{1}{2} \, a\right)^{4} - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right)^{4} + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 16 \, b d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + 4 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} - 16 \, b c \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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) + 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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) + 24 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 24 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, d \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, b d x + 4 \, b c + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) - 4 \, d \tan\left(\frac{1}{2} \, b x\right) - 4 \, d \tan\left(\frac{1}{2} \, a\right)}{2 \, {\left(b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} - 4 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 4 \, b^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - b^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + b^{2}\right)}}"," ",0,"1/2*(4*b*d*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + 4*b*c*tan(1/2*b*x)^4*tan(1/2*a)^4 + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4*tan(1/2*a)^4 - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4*tan(1/2*a)^4 - 16*b*d*x*tan(1/2*b*x)^3*tan(1/2*a)^3 - 16*b*c*tan(1/2*b*x)^3*tan(1/2*a)^3 - 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a)^3 + 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a)^3 + 4*d*tan(1/2*b*x)^4*tan(1/2*a)^3 + 4*d*tan(1/2*b*x)^3*tan(1/2*a)^4 + 4*b*d*x*tan(1/2*b*x)^4 + 16*b*d*x*tan(1/2*b*x)^3*tan(1/2*a) + 48*b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + 16*b*d*x*tan(1/2*b*x)*tan(1/2*a)^3 + 4*b*d*x*tan(1/2*a)^4 + 4*b*c*tan(1/2*b*x)^4 - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4 + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4 + 16*b*c*tan(1/2*b*x)^3*tan(1/2*a) - 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a) + 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a) - 4*d*tan(1/2*b*x)^4*tan(1/2*a) + 48*b*c*tan(1/2*b*x)^2*tan(1/2*a)^2 - 24*d*tan(1/2*b*x)^3*tan(1/2*a)^2 + 16*b*c*tan(1/2*b*x)*tan(1/2*a)^3 - 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a)^3 + 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a)^3 - 24*d*tan(1/2*b*x)^2*tan(1/2*a)^3 + 4*b*c*tan(1/2*a)^4 - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*a)^4 + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*a)^4 - 4*d*tan(1/2*b*x)*tan(1/2*a)^4 - 16*b*d*x*tan(1/2*b*x)*tan(1/2*a) + 4*d*tan(1/2*b*x)^3 - 16*b*c*tan(1/2*b*x)*tan(1/2*a) - 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a) + 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a) + 24*d*tan(1/2*b*x)^2*tan(1/2*a) + 24*d*tan(1/2*b*x)*tan(1/2*a)^2 + 4*d*tan(1/2*a)^3 + 4*b*d*x + 4*b*c + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1)) - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1)) - 4*d*tan(1/2*b*x) - 4*d*tan(1/2*a))/(b^2*tan(1/2*b*x)^4*tan(1/2*a)^4 - 4*b^2*tan(1/2*b*x)^3*tan(1/2*a)^3 - b^2*tan(1/2*b*x)^4 - 4*b^2*tan(1/2*b*x)^3*tan(1/2*a) - 4*b^2*tan(1/2*b*x)*tan(1/2*a)^3 - b^2*tan(1/2*a)^4 - 4*b^2*tan(1/2*b*x)*tan(1/2*a) + b^2)","B",0
263,0,0,0,0.000000," ","integrate(sin(b*x+a)*tan(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right) \tan\left(b x + a\right)^{2}}{d x + c}\,{d x}"," ",0,"integrate(sin(b*x + a)*tan(b*x + a)^2/(d*x + c), x)","F",0
264,0,0,0,0.000000," ","integrate(sin(b*x+a)*tan(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right) \tan\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sin(b*x + a)*tan(b*x + a)^2/(d*x + c)^2, x)","F",0
265,0,0,0,0.000000," ","integrate((d*x+c)^m*csc(b*x+a)*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \csc\left(b x + a\right) \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*csc(b*x + a)*sec(b*x + a)^2, x)","F",0
266,0,0,0,0.000000," ","integrate((d*x+c)^4*csc(b*x+a)*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \csc\left(b x + a\right) \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^4*csc(b*x + a)*sec(b*x + a)^2, x)","F",0
267,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right) \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)*sec(b*x + a)^2, x)","F",0
268,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right) \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)*sec(b*x + a)^2, x)","F",0
269,0,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a)*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)} \csc\left(b x + a\right) \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)*csc(b*x + a)*sec(b*x + a)^2, x)","F",0
270,0,0,0,0.000000," ","integrate(csc(b*x+a)*sec(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right) \sec\left(b x + a\right)^{2}}{d x + c}\,{d x}"," ",0,"integrate(csc(b*x + a)*sec(b*x + a)^2/(d*x + c), x)","F",0
271,0,0,0,0.000000," ","integrate(csc(b*x+a)*sec(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
272,0,0,0,0.000000," ","integrate((d*x+c)^m*csc(b*x+a)^2*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*csc(b*x + a)^2*sec(b*x + a)^2, x)","F",0
273,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)^2*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)^2*sec(b*x + a)^2, x)","F",0
274,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)^2*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)^2*sec(b*x + a)^2, x)","F",0
275,-1,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a)^2*sec(b*x+a)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
276,0,0,0,0.000000," ","integrate(csc(b*x+a)^2*sec(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2} \sec\left(b x + a\right)^{2}}{d x + c}\,{d x}"," ",0,"integrate(csc(b*x + a)^2*sec(b*x + a)^2/(d*x + c), x)","F",0
277,0,0,0,0.000000," ","integrate(csc(b*x+a)^2*sec(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2} \sec\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(csc(b*x + a)^2*sec(b*x + a)^2/(d*x + c)^2, x)","F",0
278,0,0,0,0.000000," ","integrate((d*x+c)^m*csc(b*x+a)^3*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*csc(b*x + a)^3*sec(b*x + a)^2, x)","F",0
279,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)^3*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)^3*sec(b*x + a)^2, x)","F",0
280,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)^3*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)^3*sec(b*x + a)^2, x)","F",0
281,0,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a)^3*sec(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)*csc(b*x + a)^3*sec(b*x + a)^2, x)","F",0
282,-1,0,0,0.000000," ","integrate(csc(b*x+a)^3*sec(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
283,-1,0,0,0.000000," ","integrate(csc(b*x+a)^3*sec(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
284,0,0,0,0.000000," ","integrate(x^m*csc(b*x+a)^3*sec(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*csc(b*x + a)^3*sec(b*x + a)^2, x)","F",0
285,0,0,0,0.000000," ","integrate(x^3*csc(b*x+a)^3*sec(b*x+a)^2,x, algorithm=""giac"")","\int x^{3} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^3*csc(b*x + a)^3*sec(b*x + a)^2, x)","F",0
286,0,0,0,0.000000," ","integrate(x^2*csc(b*x+a)^3*sec(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*csc(b*x + a)^3*sec(b*x + a)^2, x)","F",0
287,0,0,0,0.000000," ","integrate(x*csc(b*x+a)^3*sec(b*x+a)^2,x, algorithm=""giac"")","\int x \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x*csc(b*x + a)^3*sec(b*x + a)^2, x)","F",0
288,0,0,0,0.000000," ","integrate(csc(b*x+a)^3*sec(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(csc(b*x + a)^3*sec(b*x + a)^2/x, x)","F",0
289,0,0,0,0.000000," ","integrate(csc(b*x+a)^3*sec(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(csc(b*x + a)^3*sec(b*x + a)^2/x^2, x)","F",0
290,0,0,0,0.000000," ","integrate((d*x+c)^m*sec(b*x+a)^2*tan(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \sec\left(b x + a\right)^{2} \tan\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^m*sec(b*x + a)^2*tan(b*x + a), x)","F",0
291,0,0,0,0.000000," ","integrate((d*x+c)^4*sec(b*x+a)^2*tan(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \sec\left(b x + a\right)^{2} \tan\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^4*sec(b*x + a)^2*tan(b*x + a), x)","F",0
292,0,0,0,0.000000," ","integrate((d*x+c)^3*sec(b*x+a)^2*tan(b*x+a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \sec\left(b x + a\right)^{2} \tan\left(b x + a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*sec(b*x + a)^2*tan(b*x + a), x)","F",0
293,1,4474,0,1.814881," ","integrate((d*x+c)^2*sec(b*x+a)^2*tan(b*x+a),x, algorithm=""giac"")","\frac{b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} - d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{4} - 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 8 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 24 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 24 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 8 \, d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 2 \, b^{2} c d x \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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)^{4} + 2 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} + b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} - 4 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 24 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 24 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + b^{2} c^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b c d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{2} + 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} - d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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)^{4} + 24 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 8 \, d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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)^{3} \tan\left(\frac{1}{2} \, a\right) + 4 \, b^{2} c d x \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 20 \, d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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)^{2} + 4 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right)^{3} - 8 \, d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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)^{3} - d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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)^{4} + b^{2} d^{2} x^{2} + 2 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} + 4 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{3} + 24 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b c d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, b c d \tan\left(\frac{1}{2} \, a\right)^{3} + 2 \, b^{2} c d x - 4 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right) + 2 \, d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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} - 4 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right) + 8 \, d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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 \, d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\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)^{2} + b^{2} c^{2} - 4 \, b c d \tan\left(\frac{1}{2} \, b x\right) - 4 \, b c d \tan\left(\frac{1}{2} \, a\right) - d^{2} \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{8} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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)^{8} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{7} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{6} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, \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} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{5} \tan\left(\frac{1}{2} \, a\right) + 36 \, \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right)}{2 \, {\left(b^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} + 8 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 20 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, b^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + b^{3} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} - 8 \, b^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, b^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{3}\right)}}"," ",0,"1/2*(b^2*d^2*x^2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^2*c*d*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^2*d^2*x^2*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^2*d^2*x^2*tan(1/2*b*x)^2*tan(1/2*a)^4 + b^2*c^2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 4*b^2*c*d*x*tan(1/2*b*x)^4*tan(1/2*a)^2 + 4*b*d^2*x*tan(1/2*b*x)^4*tan(1/2*a)^3 + 4*b^2*c*d*x*tan(1/2*b*x)^2*tan(1/2*a)^4 + 4*b*d^2*x*tan(1/2*b*x)^3*tan(1/2*a)^4 - d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4*tan(1/2*a)^4 + b^2*d^2*x^2*tan(1/2*b*x)^4 + 4*b^2*d^2*x^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*b^2*c^2*tan(1/2*b*x)^4*tan(1/2*a)^2 + 4*b*c*d*tan(1/2*b*x)^4*tan(1/2*a)^3 + b^2*d^2*x^2*tan(1/2*a)^4 + 2*b^2*c^2*tan(1/2*b*x)^2*tan(1/2*a)^4 + 4*b*c*d*tan(1/2*b*x)^3*tan(1/2*a)^4 + 2*b^2*c*d*x*tan(1/2*b*x)^4 - 4*b*d^2*x*tan(1/2*b*x)^4*tan(1/2*a) + 8*b^2*c*d*x*tan(1/2*b*x)^2*tan(1/2*a)^2 - 24*b*d^2*x*tan(1/2*b*x)^3*tan(1/2*a)^2 + 2*d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4*tan(1/2*a)^2 - 24*b*d^2*x*tan(1/2*b*x)^2*tan(1/2*a)^3 + 8*d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a)^3 + 2*b^2*c*d*x*tan(1/2*a)^4 - 4*b*d^2*x*tan(1/2*b*x)*tan(1/2*a)^4 + 2*d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)^2*tan(1/2*a)^4 + 2*b^2*d^2*x^2*tan(1/2*b*x)^2 + b^2*c^2*tan(1/2*b*x)^4 - 4*b*c*d*tan(1/2*b*x)^4*tan(1/2*a) + 2*b^2*d^2*x^2*tan(1/2*a)^2 + 4*b^2*c^2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 24*b*c*d*tan(1/2*b*x)^3*tan(1/2*a)^2 - 24*b*c*d*tan(1/2*b*x)^2*tan(1/2*a)^3 + b^2*c^2*tan(1/2*a)^4 - 4*b*c*d*tan(1/2*b*x)*tan(1/2*a)^4 + 4*b^2*c*d*x*tan(1/2*b*x)^2 + 4*b*d^2*x*tan(1/2*b*x)^3 - d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4 + 24*b*d^2*x*tan(1/2*b*x)^2*tan(1/2*a) - 8*d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a) + 4*b^2*c*d*x*tan(1/2*a)^2 + 24*b*d^2*x*tan(1/2*b*x)*tan(1/2*a)^2 - 20*d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)^2*tan(1/2*a)^2 + 4*b*d^2*x*tan(1/2*a)^3 - 8*d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a)^3 - d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*a)^4 + b^2*d^2*x^2 + 2*b^2*c^2*tan(1/2*b*x)^2 + 4*b*c*d*tan(1/2*b*x)^3 + 24*b*c*d*tan(1/2*b*x)^2*tan(1/2*a) + 2*b^2*c^2*tan(1/2*a)^2 + 24*b*c*d*tan(1/2*b*x)*tan(1/2*a)^2 + 4*b*c*d*tan(1/2*a)^3 + 2*b^2*c*d*x - 4*b*d^2*x*tan(1/2*b*x) + 2*d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)^2 - 4*b*d^2*x*tan(1/2*a) + 8*d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a) + 2*d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1))*tan(1/2*a)^2 + b^2*c^2 - 4*b*c*d*tan(1/2*b*x) - 4*b*c*d*tan(1/2*a) - d^2*log(4*(tan(1/2*b*x)^8*tan(1/2*a)^4 - 2*tan(1/2*b*x)^8*tan(1/2*a)^2 - 8*tan(1/2*b*x)^7*tan(1/2*a)^3 + tan(1/2*b*x)^8 + 8*tan(1/2*b*x)^7*tan(1/2*a) + 16*tan(1/2*b*x)^6*tan(1/2*a)^2 - 8*tan(1/2*b*x)^5*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*tan(1/2*b*x)^5*tan(1/2*a) + 36*tan(1/2*b*x)^4*tan(1/2*a)^2 + 8*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*tan(1/2*b*x)^4 - 8*tan(1/2*b*x)^3*tan(1/2*a) + 16*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*tan(1/2*b*x)*tan(1/2*a)^3 + tan(1/2*a)^4 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 1)/(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1)))/(b^3*tan(1/2*b*x)^4*tan(1/2*a)^4 - 2*b^3*tan(1/2*b*x)^4*tan(1/2*a)^2 - 8*b^3*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*b^3*tan(1/2*b*x)^2*tan(1/2*a)^4 + b^3*tan(1/2*b*x)^4 + 8*b^3*tan(1/2*b*x)^3*tan(1/2*a) + 20*b^3*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*b^3*tan(1/2*b*x)*tan(1/2*a)^3 + b^3*tan(1/2*a)^4 - 2*b^3*tan(1/2*b*x)^2 - 8*b^3*tan(1/2*b*x)*tan(1/2*a) - 2*b^3*tan(1/2*a)^2 + b^3)","B",0
294,1,571,0,1.843655," ","integrate((d*x+c)*sec(b*x+a)^2*tan(b*x+a),x, algorithm=""giac"")","\frac{b d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + b c \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b c \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 2 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + b d x \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b d x \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} \, a\right)^{4} + b c \tan\left(\frac{1}{2} \, b x\right)^{4} - 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 4 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 12 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 12 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + b c \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b d x \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} + 12 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b c \tan\left(\frac{1}{2} \, a\right)^{2} + 12 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, a\right)^{3} + b d x + b c - 2 \, d \tan\left(\frac{1}{2} \, b x\right) - 2 \, d \tan\left(\frac{1}{2} \, a\right)}{2 \, {\left(b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} + 8 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 20 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, b^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + b^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 2 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} - 8 \, 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} \, a\right)^{2} + b^{2}\right)}}"," ",0,"1/2*(b*d*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + b*c*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b*d*x*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^4 + 2*b*c*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*d*tan(1/2*b*x)^4*tan(1/2*a)^3 + 2*b*c*tan(1/2*b*x)^2*tan(1/2*a)^4 + 2*d*tan(1/2*b*x)^3*tan(1/2*a)^4 + b*d*x*tan(1/2*b*x)^4 + 4*b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + b*d*x*tan(1/2*a)^4 + b*c*tan(1/2*b*x)^4 - 2*d*tan(1/2*b*x)^4*tan(1/2*a) + 4*b*c*tan(1/2*b*x)^2*tan(1/2*a)^2 - 12*d*tan(1/2*b*x)^3*tan(1/2*a)^2 - 12*d*tan(1/2*b*x)^2*tan(1/2*a)^3 + b*c*tan(1/2*a)^4 - 2*d*tan(1/2*b*x)*tan(1/2*a)^4 + 2*b*d*x*tan(1/2*b*x)^2 + 2*b*d*x*tan(1/2*a)^2 + 2*b*c*tan(1/2*b*x)^2 + 2*d*tan(1/2*b*x)^3 + 12*d*tan(1/2*b*x)^2*tan(1/2*a) + 2*b*c*tan(1/2*a)^2 + 12*d*tan(1/2*b*x)*tan(1/2*a)^2 + 2*d*tan(1/2*a)^3 + b*d*x + b*c - 2*d*tan(1/2*b*x) - 2*d*tan(1/2*a))/(b^2*tan(1/2*b*x)^4*tan(1/2*a)^4 - 2*b^2*tan(1/2*b*x)^4*tan(1/2*a)^2 - 8*b^2*tan(1/2*b*x)^3*tan(1/2*a)^3 - 2*b^2*tan(1/2*b*x)^2*tan(1/2*a)^4 + b^2*tan(1/2*b*x)^4 + 8*b^2*tan(1/2*b*x)^3*tan(1/2*a) + 20*b^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 8*b^2*tan(1/2*b*x)*tan(1/2*a)^3 + b^2*tan(1/2*a)^4 - 2*b^2*tan(1/2*b*x)^2 - 8*b^2*tan(1/2*b*x)*tan(1/2*a) - 2*b^2*tan(1/2*a)^2 + b^2)","B",0
295,0,0,0,0.000000," ","integrate(sec(b*x+a)^2*tan(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right)^{2} \tan\left(b x + a\right)}{d x + c}\,{d x}"," ",0,"integrate(sec(b*x + a)^2*tan(b*x + a)/(d*x + c), x)","F",0
296,0,0,0,0.000000," ","integrate(sec(b*x+a)^2*tan(b*x+a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right)^{2} \tan\left(b x + a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sec(b*x + a)^2*tan(b*x + a)/(d*x + c)^2, x)","F",0
297,0,0,0,0.000000," ","integrate((d*x+c)^m*sec(b*x+a)*tan(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \sec\left(b x + a\right) \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^m*sec(b*x + a)*tan(b*x + a)^2, x)","F",0
298,0,0,0,0.000000," ","integrate((d*x+c)^3*sec(b*x+a)*tan(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \sec\left(b x + a\right) \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^3*sec(b*x + a)*tan(b*x + a)^2, x)","F",0
299,0,0,0,0.000000," ","integrate((d*x+c)^2*sec(b*x+a)*tan(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \sec\left(b x + a\right) \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)^2*sec(b*x + a)*tan(b*x + a)^2, x)","F",0
300,0,0,0,0.000000," ","integrate((d*x+c)*sec(b*x+a)*tan(b*x+a)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)} \sec\left(b x + a\right) \tan\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*x + c)*sec(b*x + a)*tan(b*x + a)^2, x)","F",0
301,0,0,0,0.000000," ","integrate(sec(b*x+a)*tan(b*x+a)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \tan\left(b x + a\right)^{2}}{d x + c}\,{d x}"," ",0,"integrate(sec(b*x + a)*tan(b*x + a)^2/(d*x + c), x)","F",0
302,0,0,0,0.000000," ","integrate(sec(b*x+a)*tan(b*x+a)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \tan\left(b x + a\right)^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sec(b*x + a)*tan(b*x + a)^2/(d*x + c)^2, x)","F",0
303,0,0,0,0.000000," ","integrate((d*x+c)^m*tan(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \tan\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*tan(b*x + a)^3, x)","F",0
304,0,0,0,0.000000," ","integrate((d*x+c)^3*tan(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \tan\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^3*tan(b*x + a)^3, x)","F",0
305,0,0,0,0.000000," ","integrate((d*x+c)^2*tan(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \tan\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^2*tan(b*x + a)^3, x)","F",0
306,0,0,0,0.000000," ","integrate((d*x+c)*tan(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)} \tan\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)*tan(b*x + a)^3, x)","F",0
307,0,0,0,0.000000," ","integrate(tan(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\int \frac{\tan\left(b x + a\right)^{3}}{d x + c}\,{d x}"," ",0,"integrate(tan(b*x + a)^3/(d*x + c), x)","F",0
308,0,0,0,0.000000," ","integrate(tan(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\tan\left(b x + a\right)^{3}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(tan(b*x + a)^3/(d*x + c)^2, x)","F",0
309,0,0,0,0.000000," ","integrate((d*x+c)^m*csc(b*x+a)*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \csc\left(b x + a\right) \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*csc(b*x + a)*sec(b*x + a)^3, x)","F",0
310,0,0,0,0.000000," ","integrate((d*x+c)^4*csc(b*x+a)*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \csc\left(b x + a\right) \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^4*csc(b*x + a)*sec(b*x + a)^3, x)","F",0
311,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right) \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)*sec(b*x + a)^3, x)","F",0
312,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right) \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)*sec(b*x + a)^3, x)","F",0
313,0,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a)*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)} \csc\left(b x + a\right) \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)*csc(b*x + a)*sec(b*x + a)^3, x)","F",0
314,0,0,0,0.000000," ","integrate(csc(b*x+a)*sec(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right) \sec\left(b x + a\right)^{3}}{d x + c}\,{d x}"," ",0,"integrate(csc(b*x + a)*sec(b*x + a)^3/(d*x + c), x)","F",0
315,-1,0,0,0.000000," ","integrate(csc(b*x+a)*sec(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
316,0,0,0,0.000000," ","integrate((d*x+c)^m*csc(b*x+a)^2*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*csc(b*x + a)^2*sec(b*x + a)^3, x)","F",0
317,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)^2*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)^2*sec(b*x + a)^3, x)","F",0
318,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)^2*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)^2*sec(b*x + a)^3, x)","F",0
319,0,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a)^2*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)} \csc\left(b x + a\right)^{2} \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)*csc(b*x + a)^2*sec(b*x + a)^3, x)","F",0
320,-1,0,0,0.000000," ","integrate(csc(b*x+a)^2*sec(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
321,-1,0,0,0.000000," ","integrate(csc(b*x+a)^2*sec(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
322,0,0,0,0.000000," ","integrate((d*x+c)^m*csc(b*x+a)^3*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{m} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^m*csc(b*x + a)^3*sec(b*x + a)^3, x)","F",0
323,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)^3*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)^3*sec(b*x + a)^3, x)","F",0
324,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)^3*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)^3*sec(b*x + a)^3, x)","F",0
325,0,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a)^3*sec(b*x+a)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)} \csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*x + c)*csc(b*x + a)^3*sec(b*x + a)^3, x)","F",0
326,0,0,0,0.000000," ","integrate(csc(b*x+a)^3*sec(b*x+a)^3/(d*x+c),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{3} \sec\left(b x + a\right)^{3}}{d x + c}\,{d x}"," ",0,"integrate(csc(b*x + a)^3*sec(b*x + a)^3/(d*x + c), x)","F",0
327,-1,0,0,0.000000," ","integrate(csc(b*x+a)^3*sec(b*x+a)^3/(d*x+c)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
328,0,0,0,0.000000," ","integrate(x*cos(b*x+a)^(5/2)*sin(b*x+a),x, algorithm=""giac"")","\int x \cos\left(b x + a\right)^{\frac{5}{2}} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x*cos(b*x + a)^(5/2)*sin(b*x + a), x)","F",0
329,0,0,0,0.000000," ","integrate(x*cos(b*x+a)^(3/2)*sin(b*x+a),x, algorithm=""giac"")","\int x \cos\left(b x + a\right)^{\frac{3}{2}} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x*cos(b*x + a)^(3/2)*sin(b*x + a), x)","F",0
330,0,0,0,0.000000," ","integrate(x*sin(b*x+a)*cos(b*x+a)^(1/2),x, algorithm=""giac"")","\int x \sqrt{\cos\left(b x + a\right)} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sqrt(cos(b*x + a))*sin(b*x + a), x)","F",0
331,0,0,0,0.000000," ","integrate(x*sin(b*x+a)/cos(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x \sin\left(b x + a\right)}{\sqrt{\cos\left(b x + a\right)}}\,{d x}"," ",0,"integrate(x*sin(b*x + a)/sqrt(cos(b*x + a)), x)","F",0
332,0,0,0,0.000000," ","integrate(x*sin(b*x+a)/cos(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{x \sin\left(b x + a\right)}{\cos\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*sin(b*x + a)/cos(b*x + a)^(3/2), x)","F",0
333,0,0,0,0.000000," ","integrate(x*sin(b*x+a)/cos(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{x \sin\left(b x + a\right)}{\cos\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x*sin(b*x + a)/cos(b*x + a)^(5/2), x)","F",0
334,0,0,0,0.000000," ","integrate(x*sin(b*x+a)/cos(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{x \sin\left(b x + a\right)}{\cos\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(x*sin(b*x + a)/cos(b*x + a)^(7/2), x)","F",0
335,0,0,0,0.000000," ","integrate(x*sin(b*x+a)/cos(b*x+a)^(9/2),x, algorithm=""giac"")","\int \frac{x \sin\left(b x + a\right)}{\cos\left(b x + a\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(x*sin(b*x + a)/cos(b*x + a)^(9/2), x)","F",0
336,0,0,0,0.000000," ","integrate(x*sec(b*x+a)^(9/2)*sin(b*x+a),x, algorithm=""giac"")","\int x \sec\left(b x + a\right)^{\frac{9}{2}} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sec(b*x + a)^(9/2)*sin(b*x + a), x)","F",0
337,0,0,0,0.000000," ","integrate(x*sec(b*x+a)^(7/2)*sin(b*x+a),x, algorithm=""giac"")","\int x \sec\left(b x + a\right)^{\frac{7}{2}} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sec(b*x + a)^(7/2)*sin(b*x + a), x)","F",0
338,0,0,0,0.000000," ","integrate(x*sec(b*x+a)^(5/2)*sin(b*x+a),x, algorithm=""giac"")","\int x \sec\left(b x + a\right)^{\frac{5}{2}} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sec(b*x + a)^(5/2)*sin(b*x + a), x)","F",0
339,0,0,0,0.000000," ","integrate(x*sec(b*x+a)^(3/2)*sin(b*x+a),x, algorithm=""giac"")","\int x \sec\left(b x + a\right)^{\frac{3}{2}} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sec(b*x + a)^(3/2)*sin(b*x + a), x)","F",0
340,0,0,0,0.000000," ","integrate(x*sin(b*x+a)*sec(b*x+a)^(1/2),x, algorithm=""giac"")","\int x \sqrt{\sec\left(b x + a\right)} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sqrt(sec(b*x + a))*sin(b*x + a), x)","F",0
341,0,0,0,0.000000," ","integrate(x*sin(b*x+a)/sec(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x \sin\left(b x + a\right)}{\sqrt{\sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate(x*sin(b*x + a)/sqrt(sec(b*x + a)), x)","F",0
342,0,0,0,0.000000," ","integrate(x*sin(b*x+a)/sec(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{x \sin\left(b x + a\right)}{\sec\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*sin(b*x + a)/sec(b*x + a)^(3/2), x)","F",0
343,0,0,0,0.000000," ","integrate(x*sin(b*x+a)/sec(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{x \sin\left(b x + a\right)}{\sec\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x*sin(b*x + a)/sec(b*x + a)^(5/2), x)","F",0
344,0,0,0,0.000000," ","integrate(x*cos(b*x+a)*sin(b*x+a)^(5/2),x, algorithm=""giac"")","\int x \cos\left(b x + a\right) \sin\left(b x + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)*sin(b*x + a)^(5/2), x)","F",0
345,0,0,0,0.000000," ","integrate(x*cos(b*x+a)*sin(b*x+a)^(3/2),x, algorithm=""giac"")","\int x \cos\left(b x + a\right) \sin\left(b x + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)*sin(b*x + a)^(3/2), x)","F",0
346,0,0,0,0.000000," ","integrate(x*cos(b*x+a)*sin(b*x+a)^(1/2),x, algorithm=""giac"")","\int x \cos\left(b x + a\right) \sqrt{\sin\left(b x + a\right)}\,{d x}"," ",0,"integrate(x*cos(b*x + a)*sqrt(sin(b*x + a)), x)","F",0
347,0,0,0,0.000000," ","integrate(x*cos(b*x+a)/sin(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x \cos\left(b x + a\right)}{\sqrt{\sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)/sqrt(sin(b*x + a)), x)","F",0
348,0,0,0,0.000000," ","integrate(x*cos(b*x+a)/sin(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{x \cos\left(b x + a\right)}{\sin\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)/sin(b*x + a)^(3/2), x)","F",0
349,0,0,0,0.000000," ","integrate(x*cos(b*x+a)/sin(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{x \cos\left(b x + a\right)}{\sin\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)/sin(b*x + a)^(5/2), x)","F",0
350,0,0,0,0.000000," ","integrate(x*cos(b*x+a)/sin(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{x \cos\left(b x + a\right)}{\sin\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)/sin(b*x + a)^(7/2), x)","F",0
351,0,0,0,0.000000," ","integrate(x*cos(b*x+a)/sin(b*x+a)^(9/2),x, algorithm=""giac"")","\int \frac{x \cos\left(b x + a\right)}{\sin\left(b x + a\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)/sin(b*x + a)^(9/2), x)","F",0
352,0,0,0,0.000000," ","integrate(x*cos(b*x+a)*csc(b*x+a)^(9/2),x, algorithm=""giac"")","\int x \cos\left(b x + a\right) \csc\left(b x + a\right)^{\frac{9}{2}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)*csc(b*x + a)^(9/2), x)","F",0
353,0,0,0,0.000000," ","integrate(x*cos(b*x+a)*csc(b*x+a)^(7/2),x, algorithm=""giac"")","\int x \cos\left(b x + a\right) \csc\left(b x + a\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)*csc(b*x + a)^(7/2), x)","F",0
354,0,0,0,0.000000," ","integrate(x*cos(b*x+a)*csc(b*x+a)^(5/2),x, algorithm=""giac"")","\int x \cos\left(b x + a\right) \csc\left(b x + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)*csc(b*x + a)^(5/2), x)","F",0
355,0,0,0,0.000000," ","integrate(x*cos(b*x+a)*csc(b*x+a)^(3/2),x, algorithm=""giac"")","\int x \cos\left(b x + a\right) \csc\left(b x + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)*csc(b*x + a)^(3/2), x)","F",0
356,0,0,0,0.000000," ","integrate(x*cos(b*x+a)*csc(b*x+a)^(1/2),x, algorithm=""giac"")","\int x \cos\left(b x + a\right) \sqrt{\csc\left(b x + a\right)}\,{d x}"," ",0,"integrate(x*cos(b*x + a)*sqrt(csc(b*x + a)), x)","F",0
357,0,0,0,0.000000," ","integrate(x*cos(b*x+a)/csc(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x \cos\left(b x + a\right)}{\sqrt{\csc\left(b x + a\right)}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)/sqrt(csc(b*x + a)), x)","F",0
358,0,0,0,0.000000," ","integrate(x*cos(b*x+a)/csc(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{x \cos\left(b x + a\right)}{\csc\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)/csc(b*x + a)^(3/2), x)","F",0
359,0,0,0,0.000000," ","integrate(x*cos(b*x+a)/csc(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{x \cos\left(b x + a\right)}{\csc\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x*cos(b*x + a)/csc(b*x + a)^(5/2), x)","F",0
360,1,18,0,0.149966," ","integrate(x*csc(x)*sin(3*x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} + x \sin\left(2 \, x\right) + \frac{1}{2} \, \cos\left(2 \, x\right)"," ",0,"1/2*x^2 + x*sin(2*x) + 1/2*cos(2*x)","A",0
361,1,167,0,2.642989," ","integrate((d*x+c)^4*csc(x)*sin(3*x),x, algorithm=""giac"")","\frac{1}{5} \, d^{4} x^{5} + c d^{3} x^{4} + 2 \, c^{2} d^{2} x^{3} + 2 \, c^{3} d x^{2} + c^{4} x + {\left(2 \, d^{4} x^{3} + 6 \, c d^{3} x^{2} + 6 \, c^{2} d^{2} x - 3 \, d^{4} x + 2 \, c^{3} d - 3 \, c d^{3}\right)} \cos\left(2 \, x\right) + \frac{1}{2} \, {\left(2 \, d^{4} x^{4} + 8 \, c d^{3} x^{3} + 12 \, c^{2} d^{2} x^{2} - 6 \, d^{4} x^{2} + 8 \, c^{3} d x - 12 \, c d^{3} x + 2 \, c^{4} - 6 \, c^{2} d^{2} + 3 \, d^{4}\right)} \sin\left(2 \, x\right)"," ",0,"1/5*d^4*x^5 + c*d^3*x^4 + 2*c^2*d^2*x^3 + 2*c^3*d*x^2 + c^4*x + (2*d^4*x^3 + 6*c*d^3*x^2 + 6*c^2*d^2*x - 3*d^4*x + 2*c^3*d - 3*c*d^3)*cos(2*x) + 1/2*(2*d^4*x^4 + 8*c*d^3*x^3 + 12*c^2*d^2*x^2 - 6*d^4*x^2 + 8*c^3*d*x - 12*c*d^3*x + 2*c^4 - 6*c^2*d^2 + 3*d^4)*sin(2*x)","A",0
362,1,112,0,0.294317," ","integrate((d*x+c)^3*csc(x)*sin(3*x),x, algorithm=""giac"")","\frac{1}{4} \, d^{3} x^{4} + c d^{2} x^{3} + \frac{3}{2} \, c^{2} d x^{2} + c^{3} x + \frac{3}{4} \, {\left(2 \, d^{3} x^{2} + 4 \, c d^{2} x + 2 \, c^{2} d - d^{3}\right)} \cos\left(2 \, x\right) + \frac{1}{2} \, {\left(2 \, d^{3} x^{3} + 6 \, c d^{2} x^{2} + 6 \, c^{2} d x - 3 \, d^{3} x + 2 \, c^{3} - 3 \, c d^{2}\right)} \sin\left(2 \, x\right)"," ",0,"1/4*d^3*x^4 + c*d^2*x^3 + 3/2*c^2*d*x^2 + c^3*x + 3/4*(2*d^3*x^2 + 4*c*d^2*x + 2*c^2*d - d^3)*cos(2*x) + 1/2*(2*d^3*x^3 + 6*c*d^2*x^2 + 6*c^2*d*x - 3*d^3*x + 2*c^3 - 3*c*d^2)*sin(2*x)","A",0
363,1,64,0,0.162553," ","integrate((d*x+c)^2*csc(x)*sin(3*x),x, algorithm=""giac"")","\frac{1}{3} \, d^{2} x^{3} + c d x^{2} + c^{2} x + {\left(d^{2} x + c d\right)} \cos\left(2 \, x\right) + \frac{1}{2} \, {\left(2 \, d^{2} x^{2} + 4 \, c d x + 2 \, c^{2} - d^{2}\right)} \sin\left(2 \, x\right)"," ",0,"1/3*d^2*x^3 + c*d*x^2 + c^2*x + (d^2*x + c*d)*cos(2*x) + 1/2*(2*d^2*x^2 + 4*c*d*x + 2*c^2 - d^2)*sin(2*x)","A",0
364,1,27,0,1.506417," ","integrate((d*x+c)*csc(x)*sin(3*x),x, algorithm=""giac"")","\frac{1}{2} \, d x^{2} + c x + \frac{1}{2} \, d \cos\left(2 \, x\right) + {\left(d x + c\right)} \sin\left(2 \, x\right)"," ",0,"1/2*d*x^2 + c*x + 1/2*d*cos(2*x) + (d*x + c)*sin(2*x)","A",0
365,1,51,0,2.953992," ","integrate(csc(x)*sin(3*x)/(d*x+c),x, algorithm=""giac"")","\frac{2 \, \cos\left(\frac{2 \, c}{d}\right) \operatorname{Ci}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) + 2 \, \sin\left(\frac{2 \, c}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) + \log\left(d x + c\right)}{d}"," ",0,"(2*cos(2*c/d)*cos_integral(2*(d*x + c)/d) + 2*sin(2*c/d)*sin_integral(2*(d*x + c)/d) + log(d*x + c))/d","A",0
366,1,111,0,0.196452," ","integrate(csc(x)*sin(3*x)/(d*x+c)^2,x, algorithm=""giac"")","\frac{4 \, d x \operatorname{Ci}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) \sin\left(\frac{2 \, c}{d}\right) - 4 \, d x \cos\left(\frac{2 \, c}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) + 4 \, c \operatorname{Ci}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) \sin\left(\frac{2 \, c}{d}\right) - 4 \, c \cos\left(\frac{2 \, c}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) - 2 \, d \cos\left(2 \, x\right) - d}{d^{3} x + c d^{2}}"," ",0,"(4*d*x*cos_integral(2*(d*x + c)/d)*sin(2*c/d) - 4*d*x*cos(2*c/d)*sin_integral(2*(d*x + c)/d) + 4*c*cos_integral(2*(d*x + c)/d)*sin(2*c/d) - 4*c*cos(2*c/d)*sin_integral(2*(d*x + c)/d) - 2*d*cos(2*x) - d)/(d^3*x + c*d^2)","A",0
367,1,201,0,2.726951," ","integrate(csc(x)*sin(3*x)/(d*x+c)^3,x, algorithm=""giac"")","-\frac{8 \, d^{2} x^{2} \cos\left(\frac{2 \, c}{d}\right) \operatorname{Ci}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) + 8 \, d^{2} x^{2} \sin\left(\frac{2 \, c}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) + 16 \, c d x \cos\left(\frac{2 \, c}{d}\right) \operatorname{Ci}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) + 16 \, c d x \sin\left(\frac{2 \, c}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) + 8 \, c^{2} \cos\left(\frac{2 \, c}{d}\right) \operatorname{Ci}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) - 4 \, d^{2} x \sin\left(2 \, x\right) + 8 \, c^{2} \sin\left(\frac{2 \, c}{d}\right) \operatorname{Si}\left(\frac{2 \, {\left(d x + c\right)}}{d}\right) + 2 \, d^{2} \cos\left(2 \, x\right) - 4 \, c d \sin\left(2 \, x\right) + d^{2}}{2 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"-1/2*(8*d^2*x^2*cos(2*c/d)*cos_integral(2*(d*x + c)/d) + 8*d^2*x^2*sin(2*c/d)*sin_integral(2*(d*x + c)/d) + 16*c*d*x*cos(2*c/d)*cos_integral(2*(d*x + c)/d) + 16*c*d*x*sin(2*c/d)*sin_integral(2*(d*x + c)/d) + 8*c^2*cos(2*c/d)*cos_integral(2*(d*x + c)/d) - 4*d^2*x*sin(2*x) + 8*c^2*sin(2*c/d)*sin_integral(2*(d*x + c)/d) + 2*d^2*cos(2*x) - 4*c*d*sin(2*x) + d^2)/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)","B",0
368,1,4684,0,0.552955," ","integrate((d*x+c)^4*csc(b*x+a)*sin(3*b*x+3*a),x, algorithm=""giac"")","\frac{b^{5} d^{4} x^{5} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 5 \, b^{5} c d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{5} d^{4} x^{5} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{5} d^{4} x^{5} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b^{5} c^{2} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b^{5} c d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 20 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 10 \, b^{5} c d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 20 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b^{5} c^{3} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{5} d^{4} x^{5} \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b^{5} d^{4} x^{5} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 20 \, b^{5} c^{2} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 80 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + b^{5} d^{4} x^{5} \tan\left(\frac{1}{2} \, a\right)^{4} + 20 \, b^{5} c^{2} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 80 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 5 \, b^{5} c^{4} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 5 \, b^{5} c d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} + 20 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 20 \, b^{5} c d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 120 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 20 \, b^{5} c^{3} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 120 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 120 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 5 \, b^{5} c d^{3} x^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 20 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 20 \, b^{5} c^{3} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 120 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 30 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{5} d^{4} x^{5} \tan\left(\frac{1}{2} \, b x\right)^{2} + 10 \, b^{5} c^{2} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} + 80 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{5} d^{4} x^{5} \tan\left(\frac{1}{2} \, a\right)^{2} + 40 \, b^{5} c^{2} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 480 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 10 \, b^{5} c^{4} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 60 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 480 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 160 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 80 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 10 \, b^{5} c^{2} d^{2} x^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 80 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b^{5} c^{4} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 60 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 80 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 30 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b^{5} c d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} - 20 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{3} + 10 \, b^{5} c^{3} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} - 120 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 120 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 10 \, b^{5} c d^{3} x^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 120 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 40 \, b^{5} c^{3} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 720 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 180 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 20 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 720 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 480 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 20 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 60 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 10 \, b^{5} c^{3} d x^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 120 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 180 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 20 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 60 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{5} d^{4} x^{5} + 20 \, b^{5} c^{2} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} - 80 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} + 5 \, b^{5} c^{4} x \tan\left(\frac{1}{2} \, b x\right)^{4} + 10 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} - 480 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 160 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 80 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 20 \, b^{5} c^{2} d^{2} x^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 480 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 20 \, b^{5} c^{4} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 360 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 480 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 180 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 80 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 160 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + 480 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 480 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 120 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 5 \, b^{5} c^{4} x \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 80 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 180 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 120 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} - 15 \, b d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 5 \, b^{5} c d^{3} x^{4} + 20 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, b x\right) + 20 \, b^{5} c^{3} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} - 120 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} + 30 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} + 20 \, b^{4} d^{4} x^{4} \tan\left(\frac{1}{2} \, a\right) - 720 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 480 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 20 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) - 60 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 20 \, b^{5} c^{3} d x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 720 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 1080 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 120 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 360 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 60 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 120 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 480 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + 120 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 360 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 160 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 60 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 30 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 20 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 60 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 60 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 60 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} - 15 \, b c d^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b^{5} c^{2} d^{2} x^{3} + 80 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right) + 10 \, b^{5} c^{4} x \tan\left(\frac{1}{2} \, b x\right)^{2} - 60 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} - 80 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, b x\right)^{3} + 30 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} + 80 \, b^{4} c d^{3} x^{3} \tan\left(\frac{1}{2} \, a\right) - 160 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 480 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 480 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 120 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 10 \, b^{5} c^{4} x \tan\left(\frac{1}{2} \, a\right)^{2} - 60 \, b^{3} d^{4} x^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 480 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 1080 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 720 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 90 \, b d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 80 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, a\right)^{3} + 480 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 720 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 240 \, b d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 30 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, a\right)^{4} - 120 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 90 \, b d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b^{5} c^{3} d x^{2} + 120 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right) - 180 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} - 20 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, b x\right)^{3} + 60 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} + 10 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, b x\right)^{4} + 120 \, b^{4} c^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, a\right) - 480 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 120 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 360 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 160 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 60 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) - 180 \, b^{3} c d^{3} x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 120 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 360 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 360 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 360 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 90 \, b c d^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 20 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 60 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 160 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 360 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 240 \, b c d^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 30 \, d^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 10 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, a\right)^{4} - 60 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 90 \, b c d^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 30 \, d^{4} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 5 \, b^{5} c^{4} x + 10 \, b^{3} d^{4} x^{3} + 80 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, b x\right) - 180 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} + 120 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{3} - 15 \, b d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{4} + 80 \, b^{4} c^{3} d x \tan\left(\frac{1}{2} \, a\right) - 480 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + 720 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 240 \, b d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 180 \, b^{3} c^{2} d^{2} x \tan\left(\frac{1}{2} \, a\right)^{2} + 720 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 540 \, b d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 120 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, a\right)^{3} - 240 \, b d^{4} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 15 \, b d^{4} x \tan\left(\frac{1}{2} \, a\right)^{4} + 30 \, b^{3} c d^{3} x^{2} + 20 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, b x\right) - 60 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, b x\right) - 60 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, b x\right)^{2} + 60 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} - 15 \, b c d^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} + 20 \, b^{4} c^{4} \tan\left(\frac{1}{2} \, a\right) - 60 \, b^{2} d^{4} x^{2} \tan\left(\frac{1}{2} \, a\right) - 160 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + 360 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 240 \, b c d^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 30 \, d^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) - 60 \, b^{3} c^{3} d \tan\left(\frac{1}{2} \, a\right)^{2} + 360 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 540 \, b c d^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 180 \, d^{4} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 60 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 240 \, b c d^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + 180 \, d^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 15 \, b c d^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 30 \, d^{4} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 30 \, b^{3} c^{2} d^{2} x - 120 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, b x\right) + 90 \, b d^{4} x \tan\left(\frac{1}{2} \, b x\right)^{2} - 120 \, b^{2} c d^{3} x \tan\left(\frac{1}{2} \, a\right) + 240 \, b d^{4} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + 90 \, b d^{4} x \tan\left(\frac{1}{2} \, a\right)^{2} + 10 \, b^{3} c^{3} d - 60 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, b x\right) + 90 \, b c d^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} - 30 \, d^{4} \tan\left(\frac{1}{2} \, b x\right)^{3} - 60 \, b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, a\right) + 240 \, b c d^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 180 \, d^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 90 \, b c d^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 180 \, d^{4} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 30 \, d^{4} \tan\left(\frac{1}{2} \, a\right)^{3} - 15 \, b d^{4} x - 15 \, b c d^{3} + 30 \, d^{4} \tan\left(\frac{1}{2} \, b x\right) + 30 \, d^{4} \tan\left(\frac{1}{2} \, a\right)}{5 \, {\left(b^{5} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{5} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{5} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{5} \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b^{5} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{5} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{5} \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b^{5} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{5}\right)}}"," ",0,"1/5*(b^5*d^4*x^5*tan(1/2*b*x)^4*tan(1/2*a)^4 + 5*b^5*c*d^3*x^4*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^5*d^4*x^5*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^5*d^4*x^5*tan(1/2*b*x)^2*tan(1/2*a)^4 + 10*b^5*c^2*d^2*x^3*tan(1/2*b*x)^4*tan(1/2*a)^4 + 10*b^5*c*d^3*x^4*tan(1/2*b*x)^4*tan(1/2*a)^2 - 20*b^4*d^4*x^4*tan(1/2*b*x)^4*tan(1/2*a)^3 + 10*b^5*c*d^3*x^4*tan(1/2*b*x)^2*tan(1/2*a)^4 - 20*b^4*d^4*x^4*tan(1/2*b*x)^3*tan(1/2*a)^4 + 10*b^5*c^3*d*x^2*tan(1/2*b*x)^4*tan(1/2*a)^4 + b^5*d^4*x^5*tan(1/2*b*x)^4 + 4*b^5*d^4*x^5*tan(1/2*b*x)^2*tan(1/2*a)^2 + 20*b^5*c^2*d^2*x^3*tan(1/2*b*x)^4*tan(1/2*a)^2 - 80*b^4*c*d^3*x^3*tan(1/2*b*x)^4*tan(1/2*a)^3 + b^5*d^4*x^5*tan(1/2*a)^4 + 20*b^5*c^2*d^2*x^3*tan(1/2*b*x)^2*tan(1/2*a)^4 - 80*b^4*c*d^3*x^3*tan(1/2*b*x)^3*tan(1/2*a)^4 + 5*b^5*c^4*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + 10*b^3*d^4*x^3*tan(1/2*b*x)^4*tan(1/2*a)^4 + 5*b^5*c*d^3*x^4*tan(1/2*b*x)^4 + 20*b^4*d^4*x^4*tan(1/2*b*x)^4*tan(1/2*a) + 20*b^5*c*d^3*x^4*tan(1/2*b*x)^2*tan(1/2*a)^2 + 120*b^4*d^4*x^4*tan(1/2*b*x)^3*tan(1/2*a)^2 + 20*b^5*c^3*d*x^2*tan(1/2*b*x)^4*tan(1/2*a)^2 + 120*b^4*d^4*x^4*tan(1/2*b*x)^2*tan(1/2*a)^3 - 120*b^4*c^2*d^2*x^2*tan(1/2*b*x)^4*tan(1/2*a)^3 + 5*b^5*c*d^3*x^4*tan(1/2*a)^4 + 20*b^4*d^4*x^4*tan(1/2*b*x)*tan(1/2*a)^4 + 20*b^5*c^3*d*x^2*tan(1/2*b*x)^2*tan(1/2*a)^4 - 120*b^4*c^2*d^2*x^2*tan(1/2*b*x)^3*tan(1/2*a)^4 + 30*b^3*c*d^3*x^2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^5*d^4*x^5*tan(1/2*b*x)^2 + 10*b^5*c^2*d^2*x^3*tan(1/2*b*x)^4 + 80*b^4*c*d^3*x^3*tan(1/2*b*x)^4*tan(1/2*a) + 2*b^5*d^4*x^5*tan(1/2*a)^2 + 40*b^5*c^2*d^2*x^3*tan(1/2*b*x)^2*tan(1/2*a)^2 + 480*b^4*c*d^3*x^3*tan(1/2*b*x)^3*tan(1/2*a)^2 + 10*b^5*c^4*x*tan(1/2*b*x)^4*tan(1/2*a)^2 - 60*b^3*d^4*x^3*tan(1/2*b*x)^4*tan(1/2*a)^2 + 480*b^4*c*d^3*x^3*tan(1/2*b*x)^2*tan(1/2*a)^3 - 160*b^3*d^4*x^3*tan(1/2*b*x)^3*tan(1/2*a)^3 - 80*b^4*c^3*d*x*tan(1/2*b*x)^4*tan(1/2*a)^3 + 10*b^5*c^2*d^2*x^3*tan(1/2*a)^4 + 80*b^4*c*d^3*x^3*tan(1/2*b*x)*tan(1/2*a)^4 + 10*b^5*c^4*x*tan(1/2*b*x)^2*tan(1/2*a)^4 - 60*b^3*d^4*x^3*tan(1/2*b*x)^2*tan(1/2*a)^4 - 80*b^4*c^3*d*x*tan(1/2*b*x)^3*tan(1/2*a)^4 + 30*b^3*c^2*d^2*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + 10*b^5*c*d^3*x^4*tan(1/2*b*x)^2 - 20*b^4*d^4*x^4*tan(1/2*b*x)^3 + 10*b^5*c^3*d*x^2*tan(1/2*b*x)^4 - 120*b^4*d^4*x^4*tan(1/2*b*x)^2*tan(1/2*a) + 120*b^4*c^2*d^2*x^2*tan(1/2*b*x)^4*tan(1/2*a) + 10*b^5*c*d^3*x^4*tan(1/2*a)^2 - 120*b^4*d^4*x^4*tan(1/2*b*x)*tan(1/2*a)^2 + 40*b^5*c^3*d*x^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 720*b^4*c^2*d^2*x^2*tan(1/2*b*x)^3*tan(1/2*a)^2 - 180*b^3*c*d^3*x^2*tan(1/2*b*x)^4*tan(1/2*a)^2 - 20*b^4*d^4*x^4*tan(1/2*a)^3 + 720*b^4*c^2*d^2*x^2*tan(1/2*b*x)^2*tan(1/2*a)^3 - 480*b^3*c*d^3*x^2*tan(1/2*b*x)^3*tan(1/2*a)^3 - 20*b^4*c^4*tan(1/2*b*x)^4*tan(1/2*a)^3 + 60*b^2*d^4*x^2*tan(1/2*b*x)^4*tan(1/2*a)^3 + 10*b^5*c^3*d*x^2*tan(1/2*a)^4 + 120*b^4*c^2*d^2*x^2*tan(1/2*b*x)*tan(1/2*a)^4 - 180*b^3*c*d^3*x^2*tan(1/2*b*x)^2*tan(1/2*a)^4 - 20*b^4*c^4*tan(1/2*b*x)^3*tan(1/2*a)^4 + 60*b^2*d^4*x^2*tan(1/2*b*x)^3*tan(1/2*a)^4 + 10*b^3*c^3*d*tan(1/2*b*x)^4*tan(1/2*a)^4 + b^5*d^4*x^5 + 20*b^5*c^2*d^2*x^3*tan(1/2*b*x)^2 - 80*b^4*c*d^3*x^3*tan(1/2*b*x)^3 + 5*b^5*c^4*x*tan(1/2*b*x)^4 + 10*b^3*d^4*x^3*tan(1/2*b*x)^4 - 480*b^4*c*d^3*x^3*tan(1/2*b*x)^2*tan(1/2*a) + 160*b^3*d^4*x^3*tan(1/2*b*x)^3*tan(1/2*a) + 80*b^4*c^3*d*x*tan(1/2*b*x)^4*tan(1/2*a) + 20*b^5*c^2*d^2*x^3*tan(1/2*a)^2 - 480*b^4*c*d^3*x^3*tan(1/2*b*x)*tan(1/2*a)^2 + 20*b^5*c^4*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + 360*b^3*d^4*x^3*tan(1/2*b*x)^2*tan(1/2*a)^2 + 480*b^4*c^3*d*x*tan(1/2*b*x)^3*tan(1/2*a)^2 - 180*b^3*c^2*d^2*x*tan(1/2*b*x)^4*tan(1/2*a)^2 - 80*b^4*c*d^3*x^3*tan(1/2*a)^3 + 160*b^3*d^4*x^3*tan(1/2*b*x)*tan(1/2*a)^3 + 480*b^4*c^3*d*x*tan(1/2*b*x)^2*tan(1/2*a)^3 - 480*b^3*c^2*d^2*x*tan(1/2*b*x)^3*tan(1/2*a)^3 + 120*b^2*c*d^3*x*tan(1/2*b*x)^4*tan(1/2*a)^3 + 5*b^5*c^4*x*tan(1/2*a)^4 + 10*b^3*d^4*x^3*tan(1/2*a)^4 + 80*b^4*c^3*d*x*tan(1/2*b*x)*tan(1/2*a)^4 - 180*b^3*c^2*d^2*x*tan(1/2*b*x)^2*tan(1/2*a)^4 + 120*b^2*c*d^3*x*tan(1/2*b*x)^3*tan(1/2*a)^4 - 15*b*d^4*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + 5*b^5*c*d^3*x^4 + 20*b^4*d^4*x^4*tan(1/2*b*x) + 20*b^5*c^3*d*x^2*tan(1/2*b*x)^2 - 120*b^4*c^2*d^2*x^2*tan(1/2*b*x)^3 + 30*b^3*c*d^3*x^2*tan(1/2*b*x)^4 + 20*b^4*d^4*x^4*tan(1/2*a) - 720*b^4*c^2*d^2*x^2*tan(1/2*b*x)^2*tan(1/2*a) + 480*b^3*c*d^3*x^2*tan(1/2*b*x)^3*tan(1/2*a) + 20*b^4*c^4*tan(1/2*b*x)^4*tan(1/2*a) - 60*b^2*d^4*x^2*tan(1/2*b*x)^4*tan(1/2*a) + 20*b^5*c^3*d*x^2*tan(1/2*a)^2 - 720*b^4*c^2*d^2*x^2*tan(1/2*b*x)*tan(1/2*a)^2 + 1080*b^3*c*d^3*x^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 120*b^4*c^4*tan(1/2*b*x)^3*tan(1/2*a)^2 - 360*b^2*d^4*x^2*tan(1/2*b*x)^3*tan(1/2*a)^2 - 60*b^3*c^3*d*tan(1/2*b*x)^4*tan(1/2*a)^2 - 120*b^4*c^2*d^2*x^2*tan(1/2*a)^3 + 480*b^3*c*d^3*x^2*tan(1/2*b*x)*tan(1/2*a)^3 + 120*b^4*c^4*tan(1/2*b*x)^2*tan(1/2*a)^3 - 360*b^2*d^4*x^2*tan(1/2*b*x)^2*tan(1/2*a)^3 - 160*b^3*c^3*d*tan(1/2*b*x)^3*tan(1/2*a)^3 + 60*b^2*c^2*d^2*tan(1/2*b*x)^4*tan(1/2*a)^3 + 30*b^3*c*d^3*x^2*tan(1/2*a)^4 + 20*b^4*c^4*tan(1/2*b*x)*tan(1/2*a)^4 - 60*b^2*d^4*x^2*tan(1/2*b*x)*tan(1/2*a)^4 - 60*b^3*c^3*d*tan(1/2*b*x)^2*tan(1/2*a)^4 + 60*b^2*c^2*d^2*tan(1/2*b*x)^3*tan(1/2*a)^4 - 15*b*c*d^3*tan(1/2*b*x)^4*tan(1/2*a)^4 + 10*b^5*c^2*d^2*x^3 + 80*b^4*c*d^3*x^3*tan(1/2*b*x) + 10*b^5*c^4*x*tan(1/2*b*x)^2 - 60*b^3*d^4*x^3*tan(1/2*b*x)^2 - 80*b^4*c^3*d*x*tan(1/2*b*x)^3 + 30*b^3*c^2*d^2*x*tan(1/2*b*x)^4 + 80*b^4*c*d^3*x^3*tan(1/2*a) - 160*b^3*d^4*x^3*tan(1/2*b*x)*tan(1/2*a) - 480*b^4*c^3*d*x*tan(1/2*b*x)^2*tan(1/2*a) + 480*b^3*c^2*d^2*x*tan(1/2*b*x)^3*tan(1/2*a) - 120*b^2*c*d^3*x*tan(1/2*b*x)^4*tan(1/2*a) + 10*b^5*c^4*x*tan(1/2*a)^2 - 60*b^3*d^4*x^3*tan(1/2*a)^2 - 480*b^4*c^3*d*x*tan(1/2*b*x)*tan(1/2*a)^2 + 1080*b^3*c^2*d^2*x*tan(1/2*b*x)^2*tan(1/2*a)^2 - 720*b^2*c*d^3*x*tan(1/2*b*x)^3*tan(1/2*a)^2 + 90*b*d^4*x*tan(1/2*b*x)^4*tan(1/2*a)^2 - 80*b^4*c^3*d*x*tan(1/2*a)^3 + 480*b^3*c^2*d^2*x*tan(1/2*b*x)*tan(1/2*a)^3 - 720*b^2*c*d^3*x*tan(1/2*b*x)^2*tan(1/2*a)^3 + 240*b*d^4*x*tan(1/2*b*x)^3*tan(1/2*a)^3 + 30*b^3*c^2*d^2*x*tan(1/2*a)^4 - 120*b^2*c*d^3*x*tan(1/2*b*x)*tan(1/2*a)^4 + 90*b*d^4*x*tan(1/2*b*x)^2*tan(1/2*a)^4 + 10*b^5*c^3*d*x^2 + 120*b^4*c^2*d^2*x^2*tan(1/2*b*x) - 180*b^3*c*d^3*x^2*tan(1/2*b*x)^2 - 20*b^4*c^4*tan(1/2*b*x)^3 + 60*b^2*d^4*x^2*tan(1/2*b*x)^3 + 10*b^3*c^3*d*tan(1/2*b*x)^4 + 120*b^4*c^2*d^2*x^2*tan(1/2*a) - 480*b^3*c*d^3*x^2*tan(1/2*b*x)*tan(1/2*a) - 120*b^4*c^4*tan(1/2*b*x)^2*tan(1/2*a) + 360*b^2*d^4*x^2*tan(1/2*b*x)^2*tan(1/2*a) + 160*b^3*c^3*d*tan(1/2*b*x)^3*tan(1/2*a) - 60*b^2*c^2*d^2*tan(1/2*b*x)^4*tan(1/2*a) - 180*b^3*c*d^3*x^2*tan(1/2*a)^2 - 120*b^4*c^4*tan(1/2*b*x)*tan(1/2*a)^2 + 360*b^2*d^4*x^2*tan(1/2*b*x)*tan(1/2*a)^2 + 360*b^3*c^3*d*tan(1/2*b*x)^2*tan(1/2*a)^2 - 360*b^2*c^2*d^2*tan(1/2*b*x)^3*tan(1/2*a)^2 + 90*b*c*d^3*tan(1/2*b*x)^4*tan(1/2*a)^2 - 20*b^4*c^4*tan(1/2*a)^3 + 60*b^2*d^4*x^2*tan(1/2*a)^3 + 160*b^3*c^3*d*tan(1/2*b*x)*tan(1/2*a)^3 - 360*b^2*c^2*d^2*tan(1/2*b*x)^2*tan(1/2*a)^3 + 240*b*c*d^3*tan(1/2*b*x)^3*tan(1/2*a)^3 - 30*d^4*tan(1/2*b*x)^4*tan(1/2*a)^3 + 10*b^3*c^3*d*tan(1/2*a)^4 - 60*b^2*c^2*d^2*tan(1/2*b*x)*tan(1/2*a)^4 + 90*b*c*d^3*tan(1/2*b*x)^2*tan(1/2*a)^4 - 30*d^4*tan(1/2*b*x)^3*tan(1/2*a)^4 + 5*b^5*c^4*x + 10*b^3*d^4*x^3 + 80*b^4*c^3*d*x*tan(1/2*b*x) - 180*b^3*c^2*d^2*x*tan(1/2*b*x)^2 + 120*b^2*c*d^3*x*tan(1/2*b*x)^3 - 15*b*d^4*x*tan(1/2*b*x)^4 + 80*b^4*c^3*d*x*tan(1/2*a) - 480*b^3*c^2*d^2*x*tan(1/2*b*x)*tan(1/2*a) + 720*b^2*c*d^3*x*tan(1/2*b*x)^2*tan(1/2*a) - 240*b*d^4*x*tan(1/2*b*x)^3*tan(1/2*a) - 180*b^3*c^2*d^2*x*tan(1/2*a)^2 + 720*b^2*c*d^3*x*tan(1/2*b*x)*tan(1/2*a)^2 - 540*b*d^4*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + 120*b^2*c*d^3*x*tan(1/2*a)^3 - 240*b*d^4*x*tan(1/2*b*x)*tan(1/2*a)^3 - 15*b*d^4*x*tan(1/2*a)^4 + 30*b^3*c*d^3*x^2 + 20*b^4*c^4*tan(1/2*b*x) - 60*b^2*d^4*x^2*tan(1/2*b*x) - 60*b^3*c^3*d*tan(1/2*b*x)^2 + 60*b^2*c^2*d^2*tan(1/2*b*x)^3 - 15*b*c*d^3*tan(1/2*b*x)^4 + 20*b^4*c^4*tan(1/2*a) - 60*b^2*d^4*x^2*tan(1/2*a) - 160*b^3*c^3*d*tan(1/2*b*x)*tan(1/2*a) + 360*b^2*c^2*d^2*tan(1/2*b*x)^2*tan(1/2*a) - 240*b*c*d^3*tan(1/2*b*x)^3*tan(1/2*a) + 30*d^4*tan(1/2*b*x)^4*tan(1/2*a) - 60*b^3*c^3*d*tan(1/2*a)^2 + 360*b^2*c^2*d^2*tan(1/2*b*x)*tan(1/2*a)^2 - 540*b*c*d^3*tan(1/2*b*x)^2*tan(1/2*a)^2 + 180*d^4*tan(1/2*b*x)^3*tan(1/2*a)^2 + 60*b^2*c^2*d^2*tan(1/2*a)^3 - 240*b*c*d^3*tan(1/2*b*x)*tan(1/2*a)^3 + 180*d^4*tan(1/2*b*x)^2*tan(1/2*a)^3 - 15*b*c*d^3*tan(1/2*a)^4 + 30*d^4*tan(1/2*b*x)*tan(1/2*a)^4 + 30*b^3*c^2*d^2*x - 120*b^2*c*d^3*x*tan(1/2*b*x) + 90*b*d^4*x*tan(1/2*b*x)^2 - 120*b^2*c*d^3*x*tan(1/2*a) + 240*b*d^4*x*tan(1/2*b*x)*tan(1/2*a) + 90*b*d^4*x*tan(1/2*a)^2 + 10*b^3*c^3*d - 60*b^2*c^2*d^2*tan(1/2*b*x) + 90*b*c*d^3*tan(1/2*b*x)^2 - 30*d^4*tan(1/2*b*x)^3 - 60*b^2*c^2*d^2*tan(1/2*a) + 240*b*c*d^3*tan(1/2*b*x)*tan(1/2*a) - 180*d^4*tan(1/2*b*x)^2*tan(1/2*a) + 90*b*c*d^3*tan(1/2*a)^2 - 180*d^4*tan(1/2*b*x)*tan(1/2*a)^2 - 30*d^4*tan(1/2*a)^3 - 15*b*d^4*x - 15*b*c*d^3 + 30*d^4*tan(1/2*b*x) + 30*d^4*tan(1/2*a))/(b^5*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^5*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^5*tan(1/2*b*x)^2*tan(1/2*a)^4 + b^5*tan(1/2*b*x)^4 + 4*b^5*tan(1/2*b*x)^2*tan(1/2*a)^2 + b^5*tan(1/2*a)^4 + 2*b^5*tan(1/2*b*x)^2 + 2*b^5*tan(1/2*a)^2 + b^5)","B",0
369,1,3139,0,4.427947," ","integrate((d*x+c)^3*csc(b*x+a)*sin(3*b*x+3*a),x, algorithm=""giac"")","\frac{b^{4} d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b^{4} c d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{4} d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{4} d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 6 \, b^{4} c^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 8 \, b^{4} c d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 16 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 8 \, b^{4} c d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 16 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b^{4} c^{3} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{4} d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b^{4} d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 12 \, b^{4} c^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + b^{4} d^{3} x^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 12 \, b^{4} c^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 48 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 6 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b^{4} c d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} + 16 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 16 \, b^{4} c d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 96 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, b^{4} c^{3} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 96 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 48 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, b^{4} c d^{2} x^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 16 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 8 \, b^{4} c^{3} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 48 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 12 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{4} d^{3} x^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} + 6 \, b^{4} c^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} + 48 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{4} d^{3} x^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b^{4} c^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 288 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 36 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 288 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 96 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 16 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 6 \, b^{4} c^{2} d x^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 48 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 36 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 16 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 6 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 8 \, b^{4} c d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} - 16 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} + 4 \, b^{4} c^{3} x \tan\left(\frac{1}{2} \, b x\right)^{4} - 96 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 48 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 8 \, b^{4} c d^{2} x^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 96 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 16 \, b^{4} c^{3} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 288 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 72 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 16 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 288 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 192 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 24 \, b d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, b^{4} c^{3} x \tan\left(\frac{1}{2} \, a\right)^{4} + 48 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 72 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 24 \, b d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{4} d^{3} x^{4} + 12 \, b^{4} c^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} + 6 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} - 288 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 96 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 16 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 12 \, b^{4} c^{2} d x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 288 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 216 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 96 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 36 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 48 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 96 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + 96 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 96 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 24 \, b c d^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 6 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 16 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 36 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 24 \, b c d^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} - 3 \, d^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b^{4} c d^{2} x^{3} + 16 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, b x\right) + 8 \, b^{4} c^{3} x \tan\left(\frac{1}{2} \, b x\right)^{2} - 48 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, b x\right)^{3} + 12 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} + 16 \, b^{3} d^{3} x^{3} \tan\left(\frac{1}{2} \, a\right) - 288 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 192 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 24 \, b d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 8 \, b^{4} c^{3} x \tan\left(\frac{1}{2} \, a\right)^{2} - 288 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 432 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 144 \, b d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 48 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, a\right)^{3} + 192 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 144 \, b d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 12 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, a\right)^{4} - 24 \, b d^{3} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 6 \, b^{4} c^{2} d x^{2} + 48 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right) - 36 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} - 16 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} + 6 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, b x\right)^{4} + 48 \, b^{3} c d^{2} x^{2} \tan\left(\frac{1}{2} \, a\right) - 96 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 96 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 96 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 24 \, b c d^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) - 36 \, b^{2} d^{3} x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 96 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 216 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 144 \, b c d^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 18 \, d^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 16 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 96 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 144 \, b c d^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 48 \, d^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 6 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, a\right)^{4} - 24 \, b c d^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 18 \, d^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b^{4} c^{3} x + 48 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, b x\right) - 72 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} + 24 \, b d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{3} + 48 \, b^{3} c^{2} d x \tan\left(\frac{1}{2} \, a\right) - 192 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + 144 \, b d^{3} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 72 \, b^{2} c d^{2} x \tan\left(\frac{1}{2} \, a\right)^{2} + 144 \, b d^{3} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b d^{3} x \tan\left(\frac{1}{2} \, a\right)^{3} + 6 \, b^{2} d^{3} x^{2} + 16 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, b x\right) - 36 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, b x\right)^{2} + 24 \, b c d^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} - 3 \, d^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} + 16 \, b^{3} c^{3} \tan\left(\frac{1}{2} \, a\right) - 96 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + 144 \, b c d^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 48 \, d^{3} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 36 \, b^{2} c^{2} d \tan\left(\frac{1}{2} \, a\right)^{2} + 144 \, b c d^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 108 \, d^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b c d^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 48 \, d^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 3 \, d^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 12 \, b^{2} c d^{2} x - 24 \, b d^{3} x \tan\left(\frac{1}{2} \, b x\right) - 24 \, b d^{3} x \tan\left(\frac{1}{2} \, a\right) + 6 \, b^{2} c^{2} d - 24 \, b c d^{2} \tan\left(\frac{1}{2} \, b x\right) + 18 \, d^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} - 24 \, b c d^{2} \tan\left(\frac{1}{2} \, a\right) + 48 \, d^{3} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + 18 \, d^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 3 \, d^{3}}{4 \, {\left(b^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{4} \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{4} \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{4}\right)}}"," ",0,"1/4*(b^4*d^3*x^4*tan(1/2*b*x)^4*tan(1/2*a)^4 + 4*b^4*c*d^2*x^3*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^4*d^3*x^4*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^4*d^3*x^4*tan(1/2*b*x)^2*tan(1/2*a)^4 + 6*b^4*c^2*d*x^2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*b^4*c*d^2*x^3*tan(1/2*b*x)^4*tan(1/2*a)^2 - 16*b^3*d^3*x^3*tan(1/2*b*x)^4*tan(1/2*a)^3 + 8*b^4*c*d^2*x^3*tan(1/2*b*x)^2*tan(1/2*a)^4 - 16*b^3*d^3*x^3*tan(1/2*b*x)^3*tan(1/2*a)^4 + 4*b^4*c^3*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + b^4*d^3*x^4*tan(1/2*b*x)^4 + 4*b^4*d^3*x^4*tan(1/2*b*x)^2*tan(1/2*a)^2 + 12*b^4*c^2*d*x^2*tan(1/2*b*x)^4*tan(1/2*a)^2 - 48*b^3*c*d^2*x^2*tan(1/2*b*x)^4*tan(1/2*a)^3 + b^4*d^3*x^4*tan(1/2*a)^4 + 12*b^4*c^2*d*x^2*tan(1/2*b*x)^2*tan(1/2*a)^4 - 48*b^3*c*d^2*x^2*tan(1/2*b*x)^3*tan(1/2*a)^4 + 6*b^2*d^3*x^2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 4*b^4*c*d^2*x^3*tan(1/2*b*x)^4 + 16*b^3*d^3*x^3*tan(1/2*b*x)^4*tan(1/2*a) + 16*b^4*c*d^2*x^3*tan(1/2*b*x)^2*tan(1/2*a)^2 + 96*b^3*d^3*x^3*tan(1/2*b*x)^3*tan(1/2*a)^2 + 8*b^4*c^3*x*tan(1/2*b*x)^4*tan(1/2*a)^2 + 96*b^3*d^3*x^3*tan(1/2*b*x)^2*tan(1/2*a)^3 - 48*b^3*c^2*d*x*tan(1/2*b*x)^4*tan(1/2*a)^3 + 4*b^4*c*d^2*x^3*tan(1/2*a)^4 + 16*b^3*d^3*x^3*tan(1/2*b*x)*tan(1/2*a)^4 + 8*b^4*c^3*x*tan(1/2*b*x)^2*tan(1/2*a)^4 - 48*b^3*c^2*d*x*tan(1/2*b*x)^3*tan(1/2*a)^4 + 12*b^2*c*d^2*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^4*d^3*x^4*tan(1/2*b*x)^2 + 6*b^4*c^2*d*x^2*tan(1/2*b*x)^4 + 48*b^3*c*d^2*x^2*tan(1/2*b*x)^4*tan(1/2*a) + 2*b^4*d^3*x^4*tan(1/2*a)^2 + 24*b^4*c^2*d*x^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 288*b^3*c*d^2*x^2*tan(1/2*b*x)^3*tan(1/2*a)^2 - 36*b^2*d^3*x^2*tan(1/2*b*x)^4*tan(1/2*a)^2 + 288*b^3*c*d^2*x^2*tan(1/2*b*x)^2*tan(1/2*a)^3 - 96*b^2*d^3*x^2*tan(1/2*b*x)^3*tan(1/2*a)^3 - 16*b^3*c^3*tan(1/2*b*x)^4*tan(1/2*a)^3 + 6*b^4*c^2*d*x^2*tan(1/2*a)^4 + 48*b^3*c*d^2*x^2*tan(1/2*b*x)*tan(1/2*a)^4 - 36*b^2*d^3*x^2*tan(1/2*b*x)^2*tan(1/2*a)^4 - 16*b^3*c^3*tan(1/2*b*x)^3*tan(1/2*a)^4 + 6*b^2*c^2*d*tan(1/2*b*x)^4*tan(1/2*a)^4 + 8*b^4*c*d^2*x^3*tan(1/2*b*x)^2 - 16*b^3*d^3*x^3*tan(1/2*b*x)^3 + 4*b^4*c^3*x*tan(1/2*b*x)^4 - 96*b^3*d^3*x^3*tan(1/2*b*x)^2*tan(1/2*a) + 48*b^3*c^2*d*x*tan(1/2*b*x)^4*tan(1/2*a) + 8*b^4*c*d^2*x^3*tan(1/2*a)^2 - 96*b^3*d^3*x^3*tan(1/2*b*x)*tan(1/2*a)^2 + 16*b^4*c^3*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + 288*b^3*c^2*d*x*tan(1/2*b*x)^3*tan(1/2*a)^2 - 72*b^2*c*d^2*x*tan(1/2*b*x)^4*tan(1/2*a)^2 - 16*b^3*d^3*x^3*tan(1/2*a)^3 + 288*b^3*c^2*d*x*tan(1/2*b*x)^2*tan(1/2*a)^3 - 192*b^2*c*d^2*x*tan(1/2*b*x)^3*tan(1/2*a)^3 + 24*b*d^3*x*tan(1/2*b*x)^4*tan(1/2*a)^3 + 4*b^4*c^3*x*tan(1/2*a)^4 + 48*b^3*c^2*d*x*tan(1/2*b*x)*tan(1/2*a)^4 - 72*b^2*c*d^2*x*tan(1/2*b*x)^2*tan(1/2*a)^4 + 24*b*d^3*x*tan(1/2*b*x)^3*tan(1/2*a)^4 + b^4*d^3*x^4 + 12*b^4*c^2*d*x^2*tan(1/2*b*x)^2 - 48*b^3*c*d^2*x^2*tan(1/2*b*x)^3 + 6*b^2*d^3*x^2*tan(1/2*b*x)^4 - 288*b^3*c*d^2*x^2*tan(1/2*b*x)^2*tan(1/2*a) + 96*b^2*d^3*x^2*tan(1/2*b*x)^3*tan(1/2*a) + 16*b^3*c^3*tan(1/2*b*x)^4*tan(1/2*a) + 12*b^4*c^2*d*x^2*tan(1/2*a)^2 - 288*b^3*c*d^2*x^2*tan(1/2*b*x)*tan(1/2*a)^2 + 216*b^2*d^3*x^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 96*b^3*c^3*tan(1/2*b*x)^3*tan(1/2*a)^2 - 36*b^2*c^2*d*tan(1/2*b*x)^4*tan(1/2*a)^2 - 48*b^3*c*d^2*x^2*tan(1/2*a)^3 + 96*b^2*d^3*x^2*tan(1/2*b*x)*tan(1/2*a)^3 + 96*b^3*c^3*tan(1/2*b*x)^2*tan(1/2*a)^3 - 96*b^2*c^2*d*tan(1/2*b*x)^3*tan(1/2*a)^3 + 24*b*c*d^2*tan(1/2*b*x)^4*tan(1/2*a)^3 + 6*b^2*d^3*x^2*tan(1/2*a)^4 + 16*b^3*c^3*tan(1/2*b*x)*tan(1/2*a)^4 - 36*b^2*c^2*d*tan(1/2*b*x)^2*tan(1/2*a)^4 + 24*b*c*d^2*tan(1/2*b*x)^3*tan(1/2*a)^4 - 3*d^3*tan(1/2*b*x)^4*tan(1/2*a)^4 + 4*b^4*c*d^2*x^3 + 16*b^3*d^3*x^3*tan(1/2*b*x) + 8*b^4*c^3*x*tan(1/2*b*x)^2 - 48*b^3*c^2*d*x*tan(1/2*b*x)^3 + 12*b^2*c*d^2*x*tan(1/2*b*x)^4 + 16*b^3*d^3*x^3*tan(1/2*a) - 288*b^3*c^2*d*x*tan(1/2*b*x)^2*tan(1/2*a) + 192*b^2*c*d^2*x*tan(1/2*b*x)^3*tan(1/2*a) - 24*b*d^3*x*tan(1/2*b*x)^4*tan(1/2*a) + 8*b^4*c^3*x*tan(1/2*a)^2 - 288*b^3*c^2*d*x*tan(1/2*b*x)*tan(1/2*a)^2 + 432*b^2*c*d^2*x*tan(1/2*b*x)^2*tan(1/2*a)^2 - 144*b*d^3*x*tan(1/2*b*x)^3*tan(1/2*a)^2 - 48*b^3*c^2*d*x*tan(1/2*a)^3 + 192*b^2*c*d^2*x*tan(1/2*b*x)*tan(1/2*a)^3 - 144*b*d^3*x*tan(1/2*b*x)^2*tan(1/2*a)^3 + 12*b^2*c*d^2*x*tan(1/2*a)^4 - 24*b*d^3*x*tan(1/2*b*x)*tan(1/2*a)^4 + 6*b^4*c^2*d*x^2 + 48*b^3*c*d^2*x^2*tan(1/2*b*x) - 36*b^2*d^3*x^2*tan(1/2*b*x)^2 - 16*b^3*c^3*tan(1/2*b*x)^3 + 6*b^2*c^2*d*tan(1/2*b*x)^4 + 48*b^3*c*d^2*x^2*tan(1/2*a) - 96*b^2*d^3*x^2*tan(1/2*b*x)*tan(1/2*a) - 96*b^3*c^3*tan(1/2*b*x)^2*tan(1/2*a) + 96*b^2*c^2*d*tan(1/2*b*x)^3*tan(1/2*a) - 24*b*c*d^2*tan(1/2*b*x)^4*tan(1/2*a) - 36*b^2*d^3*x^2*tan(1/2*a)^2 - 96*b^3*c^3*tan(1/2*b*x)*tan(1/2*a)^2 + 216*b^2*c^2*d*tan(1/2*b*x)^2*tan(1/2*a)^2 - 144*b*c*d^2*tan(1/2*b*x)^3*tan(1/2*a)^2 + 18*d^3*tan(1/2*b*x)^4*tan(1/2*a)^2 - 16*b^3*c^3*tan(1/2*a)^3 + 96*b^2*c^2*d*tan(1/2*b*x)*tan(1/2*a)^3 - 144*b*c*d^2*tan(1/2*b*x)^2*tan(1/2*a)^3 + 48*d^3*tan(1/2*b*x)^3*tan(1/2*a)^3 + 6*b^2*c^2*d*tan(1/2*a)^4 - 24*b*c*d^2*tan(1/2*b*x)*tan(1/2*a)^4 + 18*d^3*tan(1/2*b*x)^2*tan(1/2*a)^4 + 4*b^4*c^3*x + 48*b^3*c^2*d*x*tan(1/2*b*x) - 72*b^2*c*d^2*x*tan(1/2*b*x)^2 + 24*b*d^3*x*tan(1/2*b*x)^3 + 48*b^3*c^2*d*x*tan(1/2*a) - 192*b^2*c*d^2*x*tan(1/2*b*x)*tan(1/2*a) + 144*b*d^3*x*tan(1/2*b*x)^2*tan(1/2*a) - 72*b^2*c*d^2*x*tan(1/2*a)^2 + 144*b*d^3*x*tan(1/2*b*x)*tan(1/2*a)^2 + 24*b*d^3*x*tan(1/2*a)^3 + 6*b^2*d^3*x^2 + 16*b^3*c^3*tan(1/2*b*x) - 36*b^2*c^2*d*tan(1/2*b*x)^2 + 24*b*c*d^2*tan(1/2*b*x)^3 - 3*d^3*tan(1/2*b*x)^4 + 16*b^3*c^3*tan(1/2*a) - 96*b^2*c^2*d*tan(1/2*b*x)*tan(1/2*a) + 144*b*c*d^2*tan(1/2*b*x)^2*tan(1/2*a) - 48*d^3*tan(1/2*b*x)^3*tan(1/2*a) - 36*b^2*c^2*d*tan(1/2*a)^2 + 144*b*c*d^2*tan(1/2*b*x)*tan(1/2*a)^2 - 108*d^3*tan(1/2*b*x)^2*tan(1/2*a)^2 + 24*b*c*d^2*tan(1/2*a)^3 - 48*d^3*tan(1/2*b*x)*tan(1/2*a)^3 - 3*d^3*tan(1/2*a)^4 + 12*b^2*c*d^2*x - 24*b*d^3*x*tan(1/2*b*x) - 24*b*d^3*x*tan(1/2*a) + 6*b^2*c^2*d - 24*b*c*d^2*tan(1/2*b*x) + 18*d^3*tan(1/2*b*x)^2 - 24*b*c*d^2*tan(1/2*a) + 48*d^3*tan(1/2*b*x)*tan(1/2*a) + 18*d^3*tan(1/2*a)^2 - 3*d^3)/(b^4*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^4*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^4*tan(1/2*b*x)^2*tan(1/2*a)^4 + b^4*tan(1/2*b*x)^4 + 4*b^4*tan(1/2*b*x)^2*tan(1/2*a)^2 + b^4*tan(1/2*a)^4 + 2*b^4*tan(1/2*b*x)^2 + 2*b^4*tan(1/2*a)^2 + b^4)","B",0
370,1,1880,0,5.766023," ","integrate((d*x+c)^2*csc(b*x+a)*sin(3*b*x+3*a),x, algorithm=""giac"")","\frac{b^{3} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 3 \, b^{3} c d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{3} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{3} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 3 \, b^{3} c^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 6 \, b^{3} c d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 12 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 6 \, b^{3} c d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 12 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{3} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b^{3} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 6 \, b^{3} c^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 24 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + b^{3} d^{2} x^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 6 \, b^{3} c^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 24 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 3 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 3 \, b^{3} c d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} + 12 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 12 \, b^{3} c d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 72 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 72 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 12 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 3 \, b^{3} c d x^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 12 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 12 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 3 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{3} d^{2} x^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} + 3 \, b^{3} c^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} + 24 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{3} d^{2} x^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 12 \, b^{3} c^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 144 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 18 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 144 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 48 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 3 \, b^{3} c^{2} x \tan\left(\frac{1}{2} \, a\right)^{4} + 24 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 18 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 6 \, b^{3} c d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} - 12 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} - 72 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 12 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 6 \, b^{3} c d x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 72 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 72 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 18 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 12 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 72 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 48 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 6 \, d^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 12 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 18 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 6 \, d^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{3} d^{2} x^{3} + 6 \, b^{3} c^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} - 24 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{3} + 3 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{4} - 144 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 48 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 6 \, b^{3} c^{2} x \tan\left(\frac{1}{2} \, a\right)^{2} - 144 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 108 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 24 \, b^{2} c d x \tan\left(\frac{1}{2} \, a\right)^{3} + 48 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + 3 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right)^{4} + 3 \, b^{3} c d x^{2} + 12 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, b x\right) - 12 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} + 3 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{4} + 12 \, b^{2} d^{2} x^{2} \tan\left(\frac{1}{2} \, a\right) - 72 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 48 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 6 \, d^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) - 72 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 108 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 36 \, d^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 12 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 48 \, b c d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 36 \, d^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 3 \, b c d \tan\left(\frac{1}{2} \, a\right)^{4} - 6 \, d^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 3 \, b^{3} c^{2} x + 24 \, b^{2} c d x \tan\left(\frac{1}{2} \, b x\right) - 18 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} + 24 \, b^{2} c d x \tan\left(\frac{1}{2} \, a\right) - 48 \, b d^{2} x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 18 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right)^{2} + 12 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, b x\right) - 18 \, b c d \tan\left(\frac{1}{2} \, b x\right)^{2} + 6 \, d^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} + 12 \, b^{2} c^{2} \tan\left(\frac{1}{2} \, a\right) - 48 \, b c d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + 36 \, d^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 18 \, b c d \tan\left(\frac{1}{2} \, a\right)^{2} + 36 \, d^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 6 \, d^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 3 \, b d^{2} x + 3 \, b c d - 6 \, d^{2} \tan\left(\frac{1}{2} \, b x\right) - 6 \, d^{2} \tan\left(\frac{1}{2} \, a\right)}{3 \, {\left(b^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{3} \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{3} \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{3}\right)}}"," ",0,"1/3*(b^3*d^2*x^3*tan(1/2*b*x)^4*tan(1/2*a)^4 + 3*b^3*c*d*x^2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^3*d^2*x^3*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^3*d^2*x^3*tan(1/2*b*x)^2*tan(1/2*a)^4 + 3*b^3*c^2*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + 6*b^3*c*d*x^2*tan(1/2*b*x)^4*tan(1/2*a)^2 - 12*b^2*d^2*x^2*tan(1/2*b*x)^4*tan(1/2*a)^3 + 6*b^3*c*d*x^2*tan(1/2*b*x)^2*tan(1/2*a)^4 - 12*b^2*d^2*x^2*tan(1/2*b*x)^3*tan(1/2*a)^4 + b^3*d^2*x^3*tan(1/2*b*x)^4 + 4*b^3*d^2*x^3*tan(1/2*b*x)^2*tan(1/2*a)^2 + 6*b^3*c^2*x*tan(1/2*b*x)^4*tan(1/2*a)^2 - 24*b^2*c*d*x*tan(1/2*b*x)^4*tan(1/2*a)^3 + b^3*d^2*x^3*tan(1/2*a)^4 + 6*b^3*c^2*x*tan(1/2*b*x)^2*tan(1/2*a)^4 - 24*b^2*c*d*x*tan(1/2*b*x)^3*tan(1/2*a)^4 + 3*b*d^2*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + 3*b^3*c*d*x^2*tan(1/2*b*x)^4 + 12*b^2*d^2*x^2*tan(1/2*b*x)^4*tan(1/2*a) + 12*b^3*c*d*x^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 72*b^2*d^2*x^2*tan(1/2*b*x)^3*tan(1/2*a)^2 + 72*b^2*d^2*x^2*tan(1/2*b*x)^2*tan(1/2*a)^3 - 12*b^2*c^2*tan(1/2*b*x)^4*tan(1/2*a)^3 + 3*b^3*c*d*x^2*tan(1/2*a)^4 + 12*b^2*d^2*x^2*tan(1/2*b*x)*tan(1/2*a)^4 - 12*b^2*c^2*tan(1/2*b*x)^3*tan(1/2*a)^4 + 3*b*c*d*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^3*d^2*x^3*tan(1/2*b*x)^2 + 3*b^3*c^2*x*tan(1/2*b*x)^4 + 24*b^2*c*d*x*tan(1/2*b*x)^4*tan(1/2*a) + 2*b^3*d^2*x^3*tan(1/2*a)^2 + 12*b^3*c^2*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + 144*b^2*c*d*x*tan(1/2*b*x)^3*tan(1/2*a)^2 - 18*b*d^2*x*tan(1/2*b*x)^4*tan(1/2*a)^2 + 144*b^2*c*d*x*tan(1/2*b*x)^2*tan(1/2*a)^3 - 48*b*d^2*x*tan(1/2*b*x)^3*tan(1/2*a)^3 + 3*b^3*c^2*x*tan(1/2*a)^4 + 24*b^2*c*d*x*tan(1/2*b*x)*tan(1/2*a)^4 - 18*b*d^2*x*tan(1/2*b*x)^2*tan(1/2*a)^4 + 6*b^3*c*d*x^2*tan(1/2*b*x)^2 - 12*b^2*d^2*x^2*tan(1/2*b*x)^3 - 72*b^2*d^2*x^2*tan(1/2*b*x)^2*tan(1/2*a) + 12*b^2*c^2*tan(1/2*b*x)^4*tan(1/2*a) + 6*b^3*c*d*x^2*tan(1/2*a)^2 - 72*b^2*d^2*x^2*tan(1/2*b*x)*tan(1/2*a)^2 + 72*b^2*c^2*tan(1/2*b*x)^3*tan(1/2*a)^2 - 18*b*c*d*tan(1/2*b*x)^4*tan(1/2*a)^2 - 12*b^2*d^2*x^2*tan(1/2*a)^3 + 72*b^2*c^2*tan(1/2*b*x)^2*tan(1/2*a)^3 - 48*b*c*d*tan(1/2*b*x)^3*tan(1/2*a)^3 + 6*d^2*tan(1/2*b*x)^4*tan(1/2*a)^3 + 12*b^2*c^2*tan(1/2*b*x)*tan(1/2*a)^4 - 18*b*c*d*tan(1/2*b*x)^2*tan(1/2*a)^4 + 6*d^2*tan(1/2*b*x)^3*tan(1/2*a)^4 + b^3*d^2*x^3 + 6*b^3*c^2*x*tan(1/2*b*x)^2 - 24*b^2*c*d*x*tan(1/2*b*x)^3 + 3*b*d^2*x*tan(1/2*b*x)^4 - 144*b^2*c*d*x*tan(1/2*b*x)^2*tan(1/2*a) + 48*b*d^2*x*tan(1/2*b*x)^3*tan(1/2*a) + 6*b^3*c^2*x*tan(1/2*a)^2 - 144*b^2*c*d*x*tan(1/2*b*x)*tan(1/2*a)^2 + 108*b*d^2*x*tan(1/2*b*x)^2*tan(1/2*a)^2 - 24*b^2*c*d*x*tan(1/2*a)^3 + 48*b*d^2*x*tan(1/2*b*x)*tan(1/2*a)^3 + 3*b*d^2*x*tan(1/2*a)^4 + 3*b^3*c*d*x^2 + 12*b^2*d^2*x^2*tan(1/2*b*x) - 12*b^2*c^2*tan(1/2*b*x)^3 + 3*b*c*d*tan(1/2*b*x)^4 + 12*b^2*d^2*x^2*tan(1/2*a) - 72*b^2*c^2*tan(1/2*b*x)^2*tan(1/2*a) + 48*b*c*d*tan(1/2*b*x)^3*tan(1/2*a) - 6*d^2*tan(1/2*b*x)^4*tan(1/2*a) - 72*b^2*c^2*tan(1/2*b*x)*tan(1/2*a)^2 + 108*b*c*d*tan(1/2*b*x)^2*tan(1/2*a)^2 - 36*d^2*tan(1/2*b*x)^3*tan(1/2*a)^2 - 12*b^2*c^2*tan(1/2*a)^3 + 48*b*c*d*tan(1/2*b*x)*tan(1/2*a)^3 - 36*d^2*tan(1/2*b*x)^2*tan(1/2*a)^3 + 3*b*c*d*tan(1/2*a)^4 - 6*d^2*tan(1/2*b*x)*tan(1/2*a)^4 + 3*b^3*c^2*x + 24*b^2*c*d*x*tan(1/2*b*x) - 18*b*d^2*x*tan(1/2*b*x)^2 + 24*b^2*c*d*x*tan(1/2*a) - 48*b*d^2*x*tan(1/2*b*x)*tan(1/2*a) - 18*b*d^2*x*tan(1/2*a)^2 + 12*b^2*c^2*tan(1/2*b*x) - 18*b*c*d*tan(1/2*b*x)^2 + 6*d^2*tan(1/2*b*x)^3 + 12*b^2*c^2*tan(1/2*a) - 48*b*c*d*tan(1/2*b*x)*tan(1/2*a) + 36*d^2*tan(1/2*b*x)^2*tan(1/2*a) - 18*b*c*d*tan(1/2*a)^2 + 36*d^2*tan(1/2*b*x)*tan(1/2*a)^2 + 6*d^2*tan(1/2*a)^3 + 3*b*d^2*x + 3*b*c*d - 6*d^2*tan(1/2*b*x) - 6*d^2*tan(1/2*a))/(b^3*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^3*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^3*tan(1/2*b*x)^2*tan(1/2*a)^4 + b^3*tan(1/2*b*x)^4 + 4*b^3*tan(1/2*b*x)^2*tan(1/2*a)^2 + b^3*tan(1/2*a)^4 + 2*b^3*tan(1/2*b*x)^2 + 2*b^3*tan(1/2*a)^2 + b^3)","B",0
371,1,920,0,1.991604," ","integrate((d*x+c)*csc(b*x+a)*sin(3*b*x+3*a),x, algorithm=""giac"")","\frac{b^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} c x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b^{2} c x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, b^{2} c x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, b c \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} + b^{2} d x^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, b c \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} c x \tan\left(\frac{1}{2} \, b x\right)^{4} + 8 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 8 \, b^{2} c x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 48 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 48 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 2 \, b^{2} c x \tan\left(\frac{1}{2} \, a\right)^{4} + 8 \, b d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} d x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} + 8 \, b c \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 2 \, b^{2} d x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 48 \, b c \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} - 6 \, d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 48 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 16 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 8 \, b c \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 6 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b^{2} c x \tan\left(\frac{1}{2} \, b x\right)^{2} - 8 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{3} - 48 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 4 \, b^{2} c x \tan\left(\frac{1}{2} \, a\right)^{2} - 48 \, b d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, b d x \tan\left(\frac{1}{2} \, a\right)^{3} + b^{2} d x^{2} - 8 \, b c \tan\left(\frac{1}{2} \, b x\right)^{3} + d \tan\left(\frac{1}{2} \, b x\right)^{4} - 48 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 16 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 48 \, b c \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 36 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 8 \, b c \tan\left(\frac{1}{2} \, a\right)^{3} + 16 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + d \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} c x + 8 \, b d x \tan\left(\frac{1}{2} \, b x\right) + 8 \, b d x \tan\left(\frac{1}{2} \, a\right) + 8 \, b c \tan\left(\frac{1}{2} \, b x\right) - 6 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} + 8 \, b c \tan\left(\frac{1}{2} \, a\right) - 16 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 6 \, d \tan\left(\frac{1}{2} \, a\right)^{2} + d}{2 \, {\left(b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} + 4 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2}\right)}}"," ",0,"1/2*(b^2*d*x^2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^2*c*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^2*d*x^2*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^2*d*x^2*tan(1/2*b*x)^2*tan(1/2*a)^4 + 4*b^2*c*x*tan(1/2*b*x)^4*tan(1/2*a)^2 - 8*b*d*x*tan(1/2*b*x)^4*tan(1/2*a)^3 + 4*b^2*c*x*tan(1/2*b*x)^2*tan(1/2*a)^4 - 8*b*d*x*tan(1/2*b*x)^3*tan(1/2*a)^4 + b^2*d*x^2*tan(1/2*b*x)^4 + 4*b^2*d*x^2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 8*b*c*tan(1/2*b*x)^4*tan(1/2*a)^3 + b^2*d*x^2*tan(1/2*a)^4 - 8*b*c*tan(1/2*b*x)^3*tan(1/2*a)^4 + d*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^2*c*x*tan(1/2*b*x)^4 + 8*b*d*x*tan(1/2*b*x)^4*tan(1/2*a) + 8*b^2*c*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + 48*b*d*x*tan(1/2*b*x)^3*tan(1/2*a)^2 + 48*b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^3 + 2*b^2*c*x*tan(1/2*a)^4 + 8*b*d*x*tan(1/2*b*x)*tan(1/2*a)^4 + 2*b^2*d*x^2*tan(1/2*b*x)^2 + 8*b*c*tan(1/2*b*x)^4*tan(1/2*a) + 2*b^2*d*x^2*tan(1/2*a)^2 + 48*b*c*tan(1/2*b*x)^3*tan(1/2*a)^2 - 6*d*tan(1/2*b*x)^4*tan(1/2*a)^2 + 48*b*c*tan(1/2*b*x)^2*tan(1/2*a)^3 - 16*d*tan(1/2*b*x)^3*tan(1/2*a)^3 + 8*b*c*tan(1/2*b*x)*tan(1/2*a)^4 - 6*d*tan(1/2*b*x)^2*tan(1/2*a)^4 + 4*b^2*c*x*tan(1/2*b*x)^2 - 8*b*d*x*tan(1/2*b*x)^3 - 48*b*d*x*tan(1/2*b*x)^2*tan(1/2*a) + 4*b^2*c*x*tan(1/2*a)^2 - 48*b*d*x*tan(1/2*b*x)*tan(1/2*a)^2 - 8*b*d*x*tan(1/2*a)^3 + b^2*d*x^2 - 8*b*c*tan(1/2*b*x)^3 + d*tan(1/2*b*x)^4 - 48*b*c*tan(1/2*b*x)^2*tan(1/2*a) + 16*d*tan(1/2*b*x)^3*tan(1/2*a) - 48*b*c*tan(1/2*b*x)*tan(1/2*a)^2 + 36*d*tan(1/2*b*x)^2*tan(1/2*a)^2 - 8*b*c*tan(1/2*a)^3 + 16*d*tan(1/2*b*x)*tan(1/2*a)^3 + d*tan(1/2*a)^4 + 2*b^2*c*x + 8*b*d*x*tan(1/2*b*x) + 8*b*d*x*tan(1/2*a) + 8*b*c*tan(1/2*b*x) - 6*d*tan(1/2*b*x)^2 + 8*b*c*tan(1/2*a) - 16*d*tan(1/2*b*x)*tan(1/2*a) - 6*d*tan(1/2*a)^2 + d)/(b^2*tan(1/2*b*x)^4*tan(1/2*a)^4 + 2*b^2*tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*b^2*tan(1/2*b*x)^2*tan(1/2*a)^4 + b^2*tan(1/2*b*x)^4 + 4*b^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + b^2*tan(1/2*a)^4 + 2*b^2*tan(1/2*b*x)^2 + 2*b^2*tan(1/2*a)^2 + b^2)","B",0
372,1,1118,0,0.323263," ","integrate(csc(b*x+a)*sin(3*b*x+3*a)/(d*x+c),x, algorithm=""giac"")","\frac{\log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, a\right)^{4} \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{1}{2} \, a\right)^{4} \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{1}{2} \, a\right)^{4} \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(\frac{1}{2} \, a\right)^{4} \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{1}{2} \, a\right)^{4} \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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 8 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + \log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, a\right)^{4} + \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} + \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) - 8 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 2 \, \log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} - 4 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} + 8 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 12 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 12 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 24 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 4 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 2 \, \log\left({\left| d x + c \right|}\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 6 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) + 8 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) + \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} - 4 \, \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 4 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) - 8 \, \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, 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) + \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)}{d \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, d \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, a\right)^{2} + d \tan\left(\frac{b c}{d}\right)^{2} + d}"," ",0,"(log(abs(d*x + c))*tan(1/2*a)^4*tan(b*c/d)^2 - real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 - real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 + 2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) - 2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) + 4*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^4*tan(b*c/d) - 4*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 + 4*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 - 8*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^3*tan(b*c/d)^2 + log(abs(d*x + c))*tan(1/2*a)^4 + real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4 + real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4 - 8*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) - 8*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) + 2*log(abs(d*x + c))*tan(1/2*a)^2*tan(b*c/d)^2 + 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 + 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 + 4*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3 - 4*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3 + 8*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^3 - 12*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) + 12*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) - 24*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^2*tan(b*c/d) + 4*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 - 4*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 + 8*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)*tan(b*c/d)^2 + 2*log(abs(d*x + c))*tan(1/2*a)^2 - 6*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2 - 6*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2 + 8*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d) + 8*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d) + 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 - 4*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a) + 4*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a) - 8*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*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) + 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(1/2*a)^4*tan(b*c/d)^2 + d*tan(1/2*a)^4 + 2*d*tan(1/2*a)^2*tan(b*c/d)^2 + 2*d*tan(1/2*a)^2 + d*tan(b*c/d)^2 + d)","C",0
373,1,5381,0,10.367203," ","integrate(csc(b*x+a)*sin(3*b*x+3*a)/(d*x+c)^2,x, algorithm=""giac"")","\frac{2 \, b 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 4 \, b 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 8 \, b 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 8 \, b 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b 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{1}{2} \, a\right)^{4} + 2 \, b 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{1}{2} \, a\right)^{4} - 4 \, b 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{1}{2} \, a\right)^{4} + 16 \, b 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) - 16 \, b 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 32 \, b 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 4 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 4 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 12 \, b 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 12 \, b 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 24 \, b 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 8 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 8 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b 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{1}{2} \, a\right)^{3} + 8 \, b 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{1}{2} \, a\right)^{3} - 2 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 24 \, b 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 24 \, b 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 16 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) - 16 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 32 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 4 \, b d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 4 \, b d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 8 \, b 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 12 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 12 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 24 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 8 \, b d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 8 \, b d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 12 \, b 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{1}{2} \, a\right)^{2} - 12 \, b 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{1}{2} \, a\right)^{2} + 24 \, b 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{1}{2} \, a\right)^{2} + 8 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 8 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, b d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 16 \, b 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) + 16 \, b 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 32 \, b 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 24 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 24 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 16 \, b d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) - 16 \, b d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 32 \, b d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 4 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 4 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 2 \, b 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} - 2 \, b 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} + 4 \, b 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} + 8 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 12 \, b d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 12 \, b d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 24 \, b d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 8 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 8 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 8 \, b 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{1}{2} \, a\right) - 8 \, b 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{1}{2} \, a\right) + 12 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 12 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, b d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} + 8 \, b d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} - 2 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{4} + d \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b 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) + 4 \, b 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) - 16 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) + 16 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 32 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 24 \, b d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 24 \, b d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 16 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) - 16 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 32 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 2 \, b c \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 c \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} + 4 \, b c \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} + 8 \, b d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 12 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 12 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 24 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 14 \, d \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 16 \, d \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, d \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} + 2 \, b d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} - 4 \, b d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} - 8 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 8 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 12 \, b d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 12 \, b d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 8 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} + 8 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, b c \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 c \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) - 16 \, b d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) + 16 \, b d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 32 \, b d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 24 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 24 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 2 \, b 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} - 2 \, b 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} + 4 \, b d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} + 2 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(b x\right)^{2} - 4 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(b x\right)^{2} - 8 \, b d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) - 8 \, b d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 12 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 12 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 14 \, d \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 16 \, d \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 3 \, d \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, b 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 d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 16 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) + 16 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 32 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) + 2 \, b c \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 c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{b c}{d}\right)^{2} + d \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 16 \, d \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 10 \, d \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 2 \, b d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) + 2 \, b d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) - 4 \, b d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) - 8 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) - 8 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 4 \, b c \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) + 4 \, b c \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{b c}{d}\right) - 2 \, b c \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) + 2 \, b c \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) - 4 \, b c \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) + d \tan\left(b x\right)^{2} + 16 \, d \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right) + 10 \, d \tan\left(\frac{1}{2} \, a\right)^{2} - 3 \, d \tan\left(\frac{b c}{d}\right)^{2} - 3 \, d}{d^{3} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + c d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + d^{3} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, d^{3} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{3} x \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + c d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, c d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + c d^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, d^{3} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + d^{3} x \tan\left(\frac{1}{2} \, a\right)^{4} + d^{3} x \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, d^{3} x \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + c d^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + c d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c d^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{3} x \tan\left(b x\right)^{2} + 2 \, d^{3} x \tan\left(\frac{1}{2} \, a\right)^{2} + d^{3} x \tan\left(\frac{b c}{d}\right)^{2} + c d^{2} \tan\left(b x\right)^{2} + 2 \, c d^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + c d^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{3} x + c d^{2}}"," ",0,"(2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 - 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + 4*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) + 4*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) - 8*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 - 8*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 + 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 - 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 - 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4 + 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4 - 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^4 + 16*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) - 16*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) + 32*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) + 4*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) + 4*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) - 12*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 + 12*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 - 24*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 - 8*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 - 8*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 + 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 - 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 + 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^4*tan(b*c/d)^2 + 8*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3 + 8*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3 - 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4 + 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4 - 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^4 - 24*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) - 24*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) + 16*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) - 16*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) + 32*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) + 4*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) + 4*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) + 8*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 + 8*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 - 12*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 + 12*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 - 24*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 - 8*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 - 8*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 + 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 - 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 + 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^4*tan(b*c/d)^2 + d*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + 12*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2 - 12*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2 + 24*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^2 + 8*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3 + 8*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3 - 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4 + 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4 - 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^4 - 16*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) + 16*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) - 32*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) - 24*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) - 24*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) + 16*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) - 16*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) + 32*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^3*tan(b*c/d) + 4*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) + 4*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) + 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 + 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d)^2 + 8*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 + 8*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 - 12*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 + 12*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 - 24*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^2*tan(b*c/d)^2 - 8*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 - 8*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 - 8*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a) - 8*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a) + 12*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2 - 12*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2 + 24*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^2 + 8*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3 + 8*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3 - 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4 + 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4 - 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^4 + d*tan(b*x)^2*tan(1/2*a)^4 + 4*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 4*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 16*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) + 16*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) - 32*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) - 24*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) - 24*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) + 16*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) - 16*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) + 32*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^3*tan(b*c/d) + 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 + 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d)^2 + 8*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 + 8*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 - 12*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 + 12*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 - 24*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^2*tan(b*c/d)^2 - 14*d*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 - 16*d*tan(b*x)*tan(1/2*a)^3*tan(b*c/d)^2 - 3*d*tan(1/2*a)^4*tan(b*c/d)^2 - 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 + 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 - 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2 - 8*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a) - 8*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a) + 12*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2 - 12*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2 + 24*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^2 + 8*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3 + 8*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3 + 4*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 4*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 16*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d) + 16*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d) - 32*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)*tan(b*c/d) - 24*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) - 24*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) + 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 - 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 + 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 + 8*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 + 8*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 - 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 + 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 - 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2 - 8*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a) - 8*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a) + 12*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2 - 12*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2 + 24*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^2 - 14*d*tan(b*x)^2*tan(1/2*a)^2 - 16*d*tan(b*x)*tan(1/2*a)^3 - 3*d*tan(1/2*a)^4 + 4*b*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) + 4*b*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) - 16*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d) + 16*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d) - 32*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)*tan(b*c/d) + 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 - 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 + 4*b*c*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d)^2 + d*tan(b*x)^2*tan(b*c/d)^2 + 16*d*tan(b*x)*tan(1/2*a)*tan(b*c/d)^2 + 10*d*tan(1/2*a)^2*tan(b*c/d)^2 - 2*b*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d)) + 2*b*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d)) - 4*b*d*x*sin_integral(2*(b*d*x + b*c)/d) - 8*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a) - 8*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a) + 4*b*c*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) + 4*b*c*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) - 2*b*c*imag_part(cos_integral(2*b*x + 2*b*c/d)) + 2*b*c*imag_part(cos_integral(-2*b*x - 2*b*c/d)) - 4*b*c*sin_integral(2*(b*d*x + b*c)/d) + d*tan(b*x)^2 + 16*d*tan(b*x)*tan(1/2*a) + 10*d*tan(1/2*a)^2 - 3*d*tan(b*c/d)^2 - 3*d)/(d^3*x*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + c*d^2*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + d^3*x*tan(b*x)^2*tan(1/2*a)^4 + 2*d^3*x*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 + d^3*x*tan(1/2*a)^4*tan(b*c/d)^2 + c*d^2*tan(b*x)^2*tan(1/2*a)^4 + 2*c*d^2*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 + c*d^2*tan(1/2*a)^4*tan(b*c/d)^2 + 2*d^3*x*tan(b*x)^2*tan(1/2*a)^2 + d^3*x*tan(1/2*a)^4 + d^3*x*tan(b*x)^2*tan(b*c/d)^2 + 2*d^3*x*tan(1/2*a)^2*tan(b*c/d)^2 + 2*c*d^2*tan(b*x)^2*tan(1/2*a)^2 + c*d^2*tan(1/2*a)^4 + c*d^2*tan(b*x)^2*tan(b*c/d)^2 + 2*c*d^2*tan(1/2*a)^2*tan(b*c/d)^2 + d^3*x*tan(b*x)^2 + 2*d^3*x*tan(1/2*a)^2 + d^3*x*tan(b*c/d)^2 + c*d^2*tan(b*x)^2 + 2*c*d^2*tan(1/2*a)^2 + c*d^2*tan(b*c/d)^2 + d^3*x + c*d^2)","C",0
374,1,9416,0,10.029864," ","integrate(csc(b*x+a)*sin(3*b*x+3*a)/(d*x+c)^3,x, algorithm=""giac"")","\frac{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(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\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(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} - 8 \, 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 8 \, 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 16 \, 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 16 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 16 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 32 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 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(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 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(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\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(\frac{1}{2} \, a\right)^{4} - 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(\frac{1}{2} \, a\right)^{4} + 32 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 32 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) - 16 \, 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 16 \, 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 32 \, 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 24 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 24 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 32 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 32 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 64 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\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(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\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(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 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(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 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(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} - 16 \, 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{1}{2} \, a\right)^{3} + 16 \, 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{1}{2} \, a\right)^{3} - 32 \, 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{1}{2} \, a\right)^{3} - 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(\frac{1}{2} \, a\right)^{4} - 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(\frac{1}{2} \, a\right)^{4} + 48 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 48 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 96 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 64 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 64 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) - 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 8 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 16 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 8 \, 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 8 \, 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 16 \, 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{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 16 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 16 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 32 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 48 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 48 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 16 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 16 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 32 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 16 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 16 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 32 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 24 \, 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{1}{2} \, a\right)^{2} + 24 \, 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{1}{2} \, a\right)^{2} - 32 \, 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{1}{2} \, a\right)^{3} + 32 \, 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{1}{2} \, a\right)^{3} - 64 \, 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{1}{2} \, a\right)^{3} - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} - 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(\frac{1}{2} \, a\right)^{4} - 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(\frac{1}{2} \, a\right)^{4} - 32 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 32 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) + 96 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 96 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 192 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 32 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 32 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 32 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 32 \, 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{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) - 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 16 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 32 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{4} \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(\frac{b c}{d}\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(\frac{b c}{d}\right)^{2} - 32 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 32 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 64 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 24 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 24 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 24 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 24 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 32 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 32 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 64 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 16 \, b d^{2} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b d^{2} x \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 16 \, 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{1}{2} \, a\right) - 16 \, 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{1}{2} \, a\right) + 32 \, 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{1}{2} \, a\right) + 48 \, 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{1}{2} \, a\right)^{2} + 48 \, 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{1}{2} \, a\right)^{2} - 16 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} + 16 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} - 32 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 16 \, 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{1}{2} \, a\right)^{3} + 16 \, 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{1}{2} \, a\right)^{3} - 32 \, 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{1}{2} \, a\right)^{3} - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, 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) + 8 \, 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) - 16 \, 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) - 64 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 64 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) + 48 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 48 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 96 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 48 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 48 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 96 \, 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{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 64 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 64 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) - 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) + 8 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right) - 16 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{4} \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(\frac{b c}{d}\right)^{2} + 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(\frac{b c}{d}\right)^{2} - 16 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 16 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 32 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 16 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 16 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 32 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 48 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 48 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 16 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 16 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 32 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 16 \, b c d \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} + 8 \, b c d \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\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} - 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} + 32 \, 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{1}{2} \, a\right) - 32 \, 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{1}{2} \, a\right) + 64 \, 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{1}{2} \, a\right) + 24 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, 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{1}{2} \, a\right)^{2} + 24 \, 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{1}{2} \, a\right)^{2} - 32 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} + 32 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} - 64 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{3} + 16 \, b d^{2} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{4} + 8 \, b d^{2} x \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 16 \, 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) + 16 \, 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) - 32 \, 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) - 32 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 32 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 32 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 32 \, 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{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) + 96 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 96 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 192 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 32 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right) + 32 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} \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(\frac{b c}{d}\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(\frac{b c}{d}\right)^{2} + 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(\frac{b c}{d}\right)^{2} + 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(\frac{b c}{d}\right)^{2} - 32 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 32 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 64 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 16 \, b d^{2} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 24 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 24 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 48 \, b d^{2} x \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 16 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 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} - 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} + 16 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) - 16 \, b^{2} d^{2} x^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 32 \, b^{2} d^{2} x^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right) + 16 \, 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{1}{2} \, a\right) - 16 \, 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{1}{2} \, a\right) + 32 \, 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{1}{2} \, a\right) + 48 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 48 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 16 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} + 16 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{3} - 32 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right)^{3} + 16 \, b c d \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 8 \, b c d \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} + d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, 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) + 8 \, 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) - 16 \, 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) - 8 \, 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) + 8 \, 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) - 16 \, 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) - 64 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 64 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) + 48 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) - 48 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right) + 96 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\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(\frac{b c}{d}\right)^{2} + 8 \, 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} - 16 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 16 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 32 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 16 \, b c d \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 48 \, b c d \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 14 \, d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 16 \, b c d \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 16 \, d^{2} \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, d^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) - 4 \, b^{2} d^{2} x^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \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} - 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} + 32 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) - 32 \, b^{2} c d x \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 64 \, b^{2} c d x \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right) - 16 \, b d^{2} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 24 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 24 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 48 \, b d^{2} x \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 16 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right)^{3} - 16 \, 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) + 16 \, 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) - 32 \, 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) - 32 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right) - 32 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, 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(\frac{b c}{d}\right)^{2} + 4 \, 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} + 8 \, b d^{2} x \tan\left(b x\right) \tan\left(\frac{b c}{d}\right)^{2} + 16 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) - 8 \, b^{2} c d x \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) + 16 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) - 16 \, b^{2} c^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a\right) + 32 \, b^{2} c^{2} \operatorname{Si}\left(\frac{2 \, {\left(b d x + b c\right)}}{d}\right) \tan\left(\frac{1}{2} \, a\right) - 16 \, b c d \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 48 \, b c d \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 14 \, d^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 16 \, b c d \tan\left(\frac{1}{2} \, a\right)^{3} - 16 \, d^{2} \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 3 \, d^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 8 \, 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) + 8 \, 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) - 16 \, 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) + 8 \, 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} + 16 \, b c d \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 16 \, d^{2} \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right) \tan\left(\frac{b c}{d}\right)^{2} + 10 \, d^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + \frac{2 \, b c}{d}\right) \right) - 4 \, b^{2} c^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - \frac{2 \, b c}{d}\right) \right) + 8 \, b d^{2} x \tan\left(b x\right) + 16 \, b d^{2} x \tan\left(\frac{1}{2} \, a\right) + 8 \, b c d \tan\left(b x\right) + d^{2} \tan\left(b x\right)^{2} + 16 \, b c d \tan\left(\frac{1}{2} \, a\right) + 16 \, d^{2} \tan\left(b x\right) \tan\left(\frac{1}{2} \, a\right) + 10 \, d^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 3 \, d^{2} \tan\left(\frac{b c}{d}\right)^{2} - 3 \, d^{2}}{2 \, {\left(d^{5} x^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + d^{5} x^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, d^{5} x^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + c^{2} d^{3} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 4 \, c d^{4} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, d^{5} x^{2} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + d^{5} x^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + c^{2} d^{3} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + d^{5} x^{2} \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, d^{5} x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c^{2} d^{3} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, a\right)^{4} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, c d^{4} x \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, c d^{4} x \tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, c d^{4} x \tan\left(b x\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 4 \, c d^{4} x \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + d^{5} x^{2} \tan\left(b x\right)^{2} + 2 \, d^{5} x^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, c^{2} d^{3} \tan\left(b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + c^{2} d^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 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} + 2 \, c^{2} d^{3} \tan\left(\frac{1}{2} \, a\right)^{2} \tan\left(\frac{b c}{d}\right)^{2} + 2 \, c d^{4} x \tan\left(b x\right)^{2} + 4 \, c d^{4} x \tan\left(\frac{1}{2} \, 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} + 2 \, c^{2} d^{3} \tan\left(\frac{1}{2} \, 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*(4*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + 4*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 - 8*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) + 8*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) - 16*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) + 16*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 - 16*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 + 32*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 + 8*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + 8*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 - 4*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4 - 4*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4 + 32*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) + 32*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) - 16*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) + 16*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) - 32*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) - 24*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 - 24*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 + 32*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 - 32*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 + 64*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 + 4*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 + 4*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 + 4*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + 4*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 - 16*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3 + 16*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3 - 32*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^3 - 8*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4 - 8*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4 + 48*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) - 48*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) + 96*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) + 64*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) + 64*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) - 8*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) + 8*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) - 16*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^4*tan(b*c/d) - 8*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) + 8*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) - 16*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d) - 16*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 + 16*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 - 32*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 - 48*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 - 48*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 + 16*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 - 16*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 + 32*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^3*tan(b*c/d)^2 + 16*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 - 16*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 + 32*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 + 8*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 + 8*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 + 24*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2 + 24*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2 - 32*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3 + 32*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3 - 64*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^3 - 4*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4 - 4*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4 - 4*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4 - 4*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^4 - 32*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) - 32*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) + 96*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) - 96*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) + 192*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) + 32*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) + 32*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) + 32*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) + 32*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d) - 16*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) + 16*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) - 32*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^4*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(b*c/d)^2 + 4*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 - 32*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 + 32*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 - 64*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 - 24*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 - 24*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 - 24*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 - 24*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 + 32*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 - 32*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 + 64*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^3*tan(b*c/d)^2 + 16*b*d^2*x*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 + 4*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 + 4*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d)^2 + 8*b*d^2*x*tan(b*x)*tan(1/2*a)^4*tan(b*c/d)^2 + 16*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a) - 16*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a) + 32*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a) + 48*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2 + 48*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2 - 16*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3 + 16*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3 - 32*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^3 - 16*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3 + 16*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^3 - 32*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^3 - 8*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4 - 8*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4 - 8*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) + 8*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) - 16*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) - 64*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) - 64*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) + 48*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) - 48*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) + 96*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^2*tan(b*c/d) + 48*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) - 48*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) + 96*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d) + 64*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) + 64*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) - 8*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) + 8*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4*tan(b*c/d) - 16*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^4*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(b*c/d)^2 + 8*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 - 16*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 + 16*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 - 32*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)*tan(b*c/d)^2 - 16*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 + 16*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 - 32*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 - 48*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 - 48*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 + 16*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 - 16*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d)^2 + 32*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^3*tan(b*c/d)^2 + 16*b*c*d*tan(b*x)^2*tan(1/2*a)^3*tan(b*c/d)^2 + 8*b*c*d*tan(b*x)*tan(1/2*a)^4*tan(b*c/d)^2 + d^2*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 - 4*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 - 4*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 + 32*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a) - 32*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a) + 64*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a) + 24*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2 + 24*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2 + 24*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2 + 24*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)^2 - 32*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3 + 32*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3 - 64*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^3 + 16*b*d^2*x*tan(b*x)^2*tan(1/2*a)^3 - 4*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^4 - 4*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^4 + 8*b*d^2*x*tan(b*x)*tan(1/2*a)^4 - 16*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 16*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 32*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) - 32*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d) - 32*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d) - 32*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) - 32*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a)*tan(b*c/d) + 96*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) - 96*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) + 192*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^2*tan(b*c/d) + 32*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) + 32*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3*tan(b*c/d) + 4*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 + 4*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 + 4*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^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d)^2 - 32*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 + 32*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 - 64*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)*tan(b*c/d)^2 - 16*b*d^2*x*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 - 24*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 - 24*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d)^2 - 48*b*d^2*x*tan(b*x)*tan(1/2*a)^2*tan(b*c/d)^2 - 16*b*d^2*x*tan(1/2*a)^3*tan(b*c/d)^2 - 8*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 - 8*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 + 16*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a) - 16*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a) + 32*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a) + 16*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(1/2*a) - 16*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(1/2*a) + 32*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(1/2*a) + 48*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2 + 48*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2 - 16*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^3 + 16*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^3 - 32*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^3 + 16*b*c*d*tan(b*x)^2*tan(1/2*a)^3 + 8*b*c*d*tan(b*x)*tan(1/2*a)^4 + d^2*tan(b*x)^2*tan(1/2*a)^4 - 8*b^2*d^2*x^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) + 8*b^2*d^2*x^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) - 16*b^2*d^2*x^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d) - 8*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2*tan(b*c/d) + 8*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2*tan(b*c/d) - 16*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*x)^2*tan(b*c/d) - 64*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d) - 64*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d) + 48*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) - 48*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2*tan(b*c/d) + 96*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)^2*tan(b*c/d) + 8*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 + 8*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 - 16*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 + 16*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d)^2 - 32*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a)*tan(b*c/d)^2 - 16*b*c*d*tan(b*x)^2*tan(1/2*a)*tan(b*c/d)^2 - 48*b*c*d*tan(b*x)*tan(1/2*a)^2*tan(b*c/d)^2 - 14*d^2*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 - 16*b*c*d*tan(1/2*a)^3*tan(b*c/d)^2 - 16*d^2*tan(b*x)*tan(1/2*a)^3*tan(b*c/d)^2 - 3*d^2*tan(1/2*a)^4*tan(b*c/d)^2 - 4*b^2*d^2*x^2*real_part(cos_integral(2*b*x + 2*b*c/d)) - 4*b^2*d^2*x^2*real_part(cos_integral(-2*b*x - 2*b*c/d)) - 4*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*x)^2 - 4*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*x)^2 + 32*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a) - 32*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a) + 64*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a) - 16*b*d^2*x*tan(b*x)^2*tan(1/2*a) + 24*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)^2 + 24*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)^2 - 48*b*d^2*x*tan(b*x)*tan(1/2*a)^2 - 16*b*d^2*x*tan(1/2*a)^3 - 16*b^2*c*d*x*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) + 16*b^2*c*d*x*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) - 32*b^2*c*d*x*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d) - 32*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a)*tan(b*c/d) - 32*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a)*tan(b*c/d) + 4*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d)^2 + 4*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d)^2 + 8*b*d^2*x*tan(b*x)*tan(b*c/d)^2 + 16*b*d^2*x*tan(1/2*a)*tan(b*c/d)^2 - 8*b^2*c*d*x*real_part(cos_integral(2*b*x + 2*b*c/d)) - 8*b^2*c*d*x*real_part(cos_integral(-2*b*x - 2*b*c/d)) + 16*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(1/2*a) - 16*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(1/2*a) + 32*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(1/2*a) - 16*b*c*d*tan(b*x)^2*tan(1/2*a) - 48*b*c*d*tan(b*x)*tan(1/2*a)^2 - 14*d^2*tan(b*x)^2*tan(1/2*a)^2 - 16*b*c*d*tan(1/2*a)^3 - 16*d^2*tan(b*x)*tan(1/2*a)^3 - 3*d^2*tan(1/2*a)^4 - 8*b^2*c^2*imag_part(cos_integral(2*b*x + 2*b*c/d))*tan(b*c/d) + 8*b^2*c^2*imag_part(cos_integral(-2*b*x - 2*b*c/d))*tan(b*c/d) - 16*b^2*c^2*sin_integral(2*(b*d*x + b*c)/d)*tan(b*c/d) + 8*b*c*d*tan(b*x)*tan(b*c/d)^2 + d^2*tan(b*x)^2*tan(b*c/d)^2 + 16*b*c*d*tan(1/2*a)*tan(b*c/d)^2 + 16*d^2*tan(b*x)*tan(1/2*a)*tan(b*c/d)^2 + 10*d^2*tan(1/2*a)^2*tan(b*c/d)^2 - 4*b^2*c^2*real_part(cos_integral(2*b*x + 2*b*c/d)) - 4*b^2*c^2*real_part(cos_integral(-2*b*x - 2*b*c/d)) + 8*b*d^2*x*tan(b*x) + 16*b*d^2*x*tan(1/2*a) + 8*b*c*d*tan(b*x) + d^2*tan(b*x)^2 + 16*b*c*d*tan(1/2*a) + 16*d^2*tan(b*x)*tan(1/2*a) + 10*d^2*tan(1/2*a)^2 - 3*d^2*tan(b*c/d)^2 - 3*d^2)/(d^5*x^2*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + 2*c*d^4*x*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + d^5*x^2*tan(b*x)^2*tan(1/2*a)^4 + 2*d^5*x^2*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 + d^5*x^2*tan(1/2*a)^4*tan(b*c/d)^2 + c^2*d^3*tan(b*x)^2*tan(1/2*a)^4*tan(b*c/d)^2 + 2*c*d^4*x*tan(b*x)^2*tan(1/2*a)^4 + 4*c*d^4*x*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 + 2*c*d^4*x*tan(1/2*a)^4*tan(b*c/d)^2 + 2*d^5*x^2*tan(b*x)^2*tan(1/2*a)^2 + d^5*x^2*tan(1/2*a)^4 + c^2*d^3*tan(b*x)^2*tan(1/2*a)^4 + d^5*x^2*tan(b*x)^2*tan(b*c/d)^2 + 2*d^5*x^2*tan(1/2*a)^2*tan(b*c/d)^2 + 2*c^2*d^3*tan(b*x)^2*tan(1/2*a)^2*tan(b*c/d)^2 + c^2*d^3*tan(1/2*a)^4*tan(b*c/d)^2 + 4*c*d^4*x*tan(b*x)^2*tan(1/2*a)^2 + 2*c*d^4*x*tan(1/2*a)^4 + 2*c*d^4*x*tan(b*x)^2*tan(b*c/d)^2 + 4*c*d^4*x*tan(1/2*a)^2*tan(b*c/d)^2 + d^5*x^2*tan(b*x)^2 + 2*d^5*x^2*tan(1/2*a)^2 + 2*c^2*d^3*tan(b*x)^2*tan(1/2*a)^2 + c^2*d^3*tan(1/2*a)^4 + d^5*x^2*tan(b*c/d)^2 + c^2*d^3*tan(b*x)^2*tan(b*c/d)^2 + 2*c^2*d^3*tan(1/2*a)^2*tan(b*c/d)^2 + 2*c*d^4*x*tan(b*x)^2 + 4*c*d^4*x*tan(1/2*a)^2 + 2*c*d^4*x*tan(b*c/d)^2 + d^5*x^2 + c^2*d^3*tan(b*x)^2 + 2*c^2*d^3*tan(1/2*a)^2 + c^2*d^3*tan(b*c/d)^2 + 2*c*d^4*x + c^2*d^3)","C",0
375,-1,0,0,0.000000," ","integrate(csc(b*x+a)*sin(3*b*x+3*a)/(d*x+c)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
376,0,0,0,0.000000," ","integrate((d*x+c)^3*csc(b*x+a)^2*sin(3*b*x+3*a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \csc\left(b x + a\right)^{2} \sin\left(3 \, b x + 3 \, a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*csc(b*x + a)^2*sin(3*b*x + 3*a), x)","F",0
377,0,0,0,0.000000," ","integrate((d*x+c)^2*csc(b*x+a)^2*sin(3*b*x+3*a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \csc\left(b x + a\right)^{2} \sin\left(3 \, b x + 3 \, a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*csc(b*x + a)^2*sin(3*b*x + 3*a), x)","F",0
378,0,0,0,0.000000," ","integrate((d*x+c)*csc(b*x+a)^2*sin(3*b*x+3*a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \csc\left(b x + a\right)^{2} \sin\left(3 \, b x + 3 \, a\right)\,{d x}"," ",0,"integrate((d*x + c)*csc(b*x + a)^2*sin(3*b*x + 3*a), x)","F",0
379,0,0,0,0.000000," ","integrate(csc(b*x+a)^2*sin(3*b*x+3*a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2} \sin\left(3 \, b x + 3 \, a\right)}{d x + c}\,{d x}"," ",0,"integrate(csc(b*x + a)^2*sin(3*b*x + 3*a)/(d*x + c), x)","F",0
380,0,0,0,0.000000," ","integrate(csc(b*x+a)^2*sin(3*b*x+3*a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2} \sin\left(3 \, b x + 3 \, a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(csc(b*x + a)^2*sin(3*b*x + 3*a)/(d*x + c)^2, x)","F",0
381,0,0,0,0.000000," ","integrate(csc(b*x+a)^2*sin(3*b*x+3*a)/(d*x+c)^3,x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2} \sin\left(3 \, b x + 3 \, a\right)}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(csc(b*x + a)^2*sin(3*b*x + 3*a)/(d*x + c)^3, x)","F",0
382,0,0,0,0.000000," ","integrate((d*x+c)^4*sec(b*x+a)*sin(3*b*x+3*a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} \sec\left(b x + a\right) \sin\left(3 \, b x + 3 \, a\right)\,{d x}"," ",0,"integrate((d*x + c)^4*sec(b*x + a)*sin(3*b*x + 3*a), x)","F",0
383,0,0,0,0.000000," ","integrate((d*x+c)^3*sec(b*x+a)*sin(3*b*x+3*a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \sec\left(b x + a\right) \sin\left(3 \, b x + 3 \, a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*sec(b*x + a)*sin(3*b*x + 3*a), x)","F",0
384,0,0,0,0.000000," ","integrate((d*x+c)^2*sec(b*x+a)*sin(3*b*x+3*a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \sec\left(b x + a\right) \sin\left(3 \, b x + 3 \, a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*sec(b*x + a)*sin(3*b*x + 3*a), x)","F",0
385,0,0,0,0.000000," ","integrate((d*x+c)*sec(b*x+a)*sin(3*b*x+3*a),x, algorithm=""giac"")","\int {\left(d x + c\right)} \sec\left(b x + a\right) \sin\left(3 \, b x + 3 \, a\right)\,{d x}"," ",0,"integrate((d*x + c)*sec(b*x + a)*sin(3*b*x + 3*a), x)","F",0
386,0,0,0,0.000000," ","integrate(sec(b*x+a)*sin(3*b*x+3*a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \sin\left(3 \, b x + 3 \, a\right)}{d x + c}\,{d x}"," ",0,"integrate(sec(b*x + a)*sin(3*b*x + 3*a)/(d*x + c), x)","F",0
387,0,0,0,0.000000," ","integrate(sec(b*x+a)*sin(3*b*x+3*a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \sin\left(3 \, b x + 3 \, a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sec(b*x + a)*sin(3*b*x + 3*a)/(d*x + c)^2, x)","F",0
388,0,0,0,0.000000," ","integrate(sec(b*x+a)*sin(3*b*x+3*a)/(d*x+c)^3,x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right) \sin\left(3 \, b x + 3 \, a\right)}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(sec(b*x + a)*sin(3*b*x + 3*a)/(d*x + c)^3, x)","F",0
389,0,0,0,0.000000," ","integrate((d*x+c)^3*sec(b*x+a)^2*sin(3*b*x+3*a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} \sec\left(b x + a\right)^{2} \sin\left(3 \, b x + 3 \, a\right)\,{d x}"," ",0,"integrate((d*x + c)^3*sec(b*x + a)^2*sin(3*b*x + 3*a), x)","F",0
390,0,0,0,0.000000," ","integrate((d*x+c)^2*sec(b*x+a)^2*sin(3*b*x+3*a),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} \sec\left(b x + a\right)^{2} \sin\left(3 \, b x + 3 \, a\right)\,{d x}"," ",0,"integrate((d*x + c)^2*sec(b*x + a)^2*sin(3*b*x + 3*a), x)","F",0
391,1,2876,0,1.788650," ","integrate((d*x+c)*sec(b*x+a)^2*sin(3*b*x+3*a),x, algorithm=""giac"")","-\frac{10 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b c \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} - 12 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 64 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 12 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 12 \, b c \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{2} - 64 \, b c \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} + 16 \, d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{3} - 12 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{4} + 16 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{4} + 64 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 168 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 64 \, b d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} + 10 \, b d x \tan\left(\frac{1}{2} \, a\right)^{4} + 10 \, b c \tan\left(\frac{1}{2} \, b x\right)^{4} - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{4} + 64 \, b c \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) + 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 16 \, d \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right) + 168 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 96 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{2} + 64 \, b c \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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)^{3} + 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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)^{3} - 96 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{3} + 10 \, b c \tan\left(\frac{1}{2} \, a\right)^{4} - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right)^{4} + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 16 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{4} - 12 \, b d x \tan\left(\frac{1}{2} \, b x\right)^{2} - 64 \, b d x \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 12 \, b d x \tan\left(\frac{1}{2} \, a\right)^{2} - 12 \, b c \tan\left(\frac{1}{2} \, b x\right)^{2} + 16 \, d \tan\left(\frac{1}{2} \, b x\right)^{3} - 64 \, b c \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) - 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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) + 4 \, d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\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) + 96 \, d \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 12 \, b c \tan\left(\frac{1}{2} \, a\right)^{2} + 96 \, d \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 16 \, d \tan\left(\frac{1}{2} \, a\right)^{3} + 10 \, b d x + 10 \, b c + d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) + 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)^{4} + 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)^{3} + 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) - 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) - d \log\left(\frac{2 \, {\left(\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)^{4} \tan\left(\frac{1}{2} \, a\right) - 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)^{4} + 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)^{3} - 2 \, \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 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) + 2 \, \tan\left(\frac{1}{2} \, a\right) + 1\right)}}{\tan\left(\frac{1}{2} \, a\right)^{2} + 1}\right) - 16 \, d \tan\left(\frac{1}{2} \, b x\right) - 16 \, d \tan\left(\frac{1}{2} \, a\right)}{2 \, {\left(b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right)^{3} - b^{2} \tan\left(\frac{1}{2} \, b x\right)^{4} - 4 \, b^{2} \tan\left(\frac{1}{2} \, b x\right)^{3} \tan\left(\frac{1}{2} \, a\right) - 4 \, b^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{3} - b^{2} \tan\left(\frac{1}{2} \, a\right)^{4} - 4 \, b^{2} \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + b^{2}\right)}}"," ",0,"-1/2*(10*b*d*x*tan(1/2*b*x)^4*tan(1/2*a)^4 + 10*b*c*tan(1/2*b*x)^4*tan(1/2*a)^4 + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4*tan(1/2*a)^4 - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4*tan(1/2*a)^4 - 12*b*d*x*tan(1/2*b*x)^4*tan(1/2*a)^2 - 64*b*d*x*tan(1/2*b*x)^3*tan(1/2*a)^3 - 12*b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^4 - 12*b*c*tan(1/2*b*x)^4*tan(1/2*a)^2 - 64*b*c*tan(1/2*b*x)^3*tan(1/2*a)^3 - 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a)^3 + 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a)^3 + 16*d*tan(1/2*b*x)^4*tan(1/2*a)^3 - 12*b*c*tan(1/2*b*x)^2*tan(1/2*a)^4 + 16*d*tan(1/2*b*x)^3*tan(1/2*a)^4 + 10*b*d*x*tan(1/2*b*x)^4 + 64*b*d*x*tan(1/2*b*x)^3*tan(1/2*a) + 168*b*d*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + 64*b*d*x*tan(1/2*b*x)*tan(1/2*a)^3 + 10*b*d*x*tan(1/2*a)^4 + 10*b*c*tan(1/2*b*x)^4 - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4 + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^4 + 64*b*c*tan(1/2*b*x)^3*tan(1/2*a) - 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a) + 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)^3*tan(1/2*a) - 16*d*tan(1/2*b*x)^4*tan(1/2*a) + 168*b*c*tan(1/2*b*x)^2*tan(1/2*a)^2 - 96*d*tan(1/2*b*x)^3*tan(1/2*a)^2 + 64*b*c*tan(1/2*b*x)*tan(1/2*a)^3 - 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a)^3 + 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a)^3 - 96*d*tan(1/2*b*x)^2*tan(1/2*a)^3 + 10*b*c*tan(1/2*a)^4 - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*a)^4 + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*a)^4 - 16*d*tan(1/2*b*x)*tan(1/2*a)^4 - 12*b*d*x*tan(1/2*b*x)^2 - 64*b*d*x*tan(1/2*b*x)*tan(1/2*a) - 12*b*d*x*tan(1/2*a)^2 - 12*b*c*tan(1/2*b*x)^2 + 16*d*tan(1/2*b*x)^3 - 64*b*c*tan(1/2*b*x)*tan(1/2*a) - 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a) + 4*d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1))*tan(1/2*b*x)*tan(1/2*a) + 96*d*tan(1/2*b*x)^2*tan(1/2*a) - 12*b*c*tan(1/2*a)^2 + 96*d*tan(1/2*b*x)*tan(1/2*a)^2 + 16*d*tan(1/2*a)^3 + 10*b*d*x + 10*b*c + d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 + 2*tan(1/2*b*x)^4*tan(1/2*a) + 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*tan(1/2*b*x)^3 + 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 - 2*tan(1/2*b*x) - 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1)) - d*log(2*(tan(1/2*b*x)^4*tan(1/2*a)^2 - 2*tan(1/2*b*x)^4*tan(1/2*a) - 2*tan(1/2*b*x)^3*tan(1/2*a)^2 + tan(1/2*b*x)^4 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*tan(1/2*b*x)^3 - 2*tan(1/2*b*x)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2 + tan(1/2*a)^2 + 2*tan(1/2*b*x) + 2*tan(1/2*a) + 1)/(tan(1/2*a)^2 + 1)) - 16*d*tan(1/2*b*x) - 16*d*tan(1/2*a))/(b^2*tan(1/2*b*x)^4*tan(1/2*a)^4 - 4*b^2*tan(1/2*b*x)^3*tan(1/2*a)^3 - b^2*tan(1/2*b*x)^4 - 4*b^2*tan(1/2*b*x)^3*tan(1/2*a) - 4*b^2*tan(1/2*b*x)*tan(1/2*a)^3 - b^2*tan(1/2*a)^4 - 4*b^2*tan(1/2*b*x)*tan(1/2*a) + b^2)","B",0
392,0,0,0,0.000000," ","integrate(sec(b*x+a)^2*sin(3*b*x+3*a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right)^{2} \sin\left(3 \, b x + 3 \, a\right)}{d x + c}\,{d x}"," ",0,"integrate(sec(b*x + a)^2*sin(3*b*x + 3*a)/(d*x + c), x)","F",0
393,0,0,0,0.000000," ","integrate(sec(b*x+a)^2*sin(3*b*x+3*a)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right)^{2} \sin\left(3 \, b x + 3 \, a\right)}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(sec(b*x + a)^2*sin(3*b*x + 3*a)/(d*x + c)^2, x)","F",0
394,0,0,0,0.000000," ","integrate(sec(b*x+a)^2*sin(3*b*x+3*a)/(d*x+c)^3,x, algorithm=""giac"")","\int \frac{\sec\left(b x + a\right)^{2} \sin\left(3 \, b x + 3 \, a\right)}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(sec(b*x + a)^2*sin(3*b*x + 3*a)/(d*x + c)^3, x)","F",0
395,0,0,0,0.000000," ","integrate(x*cos(2*x)*sec(x),x, algorithm=""giac"")","\int x \cos\left(2 \, x\right) \sec\left(x\right)\,{d x}"," ",0,"integrate(x*cos(2*x)*sec(x), x)","F",0
396,1,118,0,1.553214," ","integrate(x*cos(2*x)*sec(x)^2,x, algorithm=""giac"")","\frac{2 \, x^{2} \tan\left(\frac{1}{2} \, x\right)^{2} - \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, x\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, x\right)^{2} + 1\right)}}{\tan\left(\frac{1}{2} \, x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, x\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, x\right)^{2} - 2 \, x^{2} + 4 \, x \tan\left(\frac{1}{2} \, x\right) + \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, x\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, x\right)^{2} + 1\right)}}{\tan\left(\frac{1}{2} \, x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, x\right)^{2} + 1}\right)}{2 \, {\left(\tan\left(\frac{1}{2} \, x\right)^{2} - 1\right)}}"," ",0,"1/2*(2*x^2*tan(1/2*x)^2 - log(4*(tan(1/2*x)^4 - 2*tan(1/2*x)^2 + 1)/(tan(1/2*x)^4 + 2*tan(1/2*x)^2 + 1))*tan(1/2*x)^2 - 2*x^2 + 4*x*tan(1/2*x) + log(4*(tan(1/2*x)^4 - 2*tan(1/2*x)^2 + 1)/(tan(1/2*x)^4 + 2*tan(1/2*x)^2 + 1)))/(tan(1/2*x)^2 - 1)","B",0
397,0,0,0,0.000000," ","integrate(x*cos(2*x)*sec(x)^3,x, algorithm=""giac"")","\int x \cos\left(2 \, x\right) \sec\left(x\right)^{3}\,{d x}"," ",0,"integrate(x*cos(2*x)*sec(x)^3, x)","F",0
