1,0,0,0,0.000000," ","integrate(x^m*Si(b*x),x, algorithm=""giac"")","\int x^{m} {\rm Si}\left(b x\right)\,{d x}"," ",0,"integrate(x^m*Si(b*x), x)","F",0
2,1,49,0,1.382186," ","integrate(x^3*Si(b*x),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \operatorname{Si}\left(b x\right) + \frac{{\left(b^{3} x^{3} - 6 \, b x\right)} \cos\left(b x\right)}{4 \, b^{4}} - \frac{3 \, {\left(b^{2} x^{2} - 2\right)} \sin\left(b x\right)}{4 \, b^{4}}"," ",0,"1/4*x^4*sin_integral(b*x) + 1/4*(b^3*x^3 - 6*b*x)*cos(b*x)/b^4 - 3/4*(b^2*x^2 - 2)*sin(b*x)/b^4","A",0
3,1,38,0,0.599414," ","integrate(x^2*Si(b*x),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \operatorname{Si}\left(b x\right) - \frac{2 \, x \sin\left(b x\right)}{3 \, b^{2}} + \frac{{\left(b^{2} x^{2} - 2\right)} \cos\left(b x\right)}{3 \, b^{3}}"," ",0,"1/3*x^3*sin_integral(b*x) - 2/3*x*sin(b*x)/b^2 + 1/3*(b^2*x^2 - 2)*cos(b*x)/b^3","A",0
4,1,29,0,0.726872," ","integrate(x*Si(b*x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \operatorname{Si}\left(b x\right) + \frac{x \cos\left(b x\right)}{2 \, b} - \frac{\sin\left(b x\right)}{2 \, b^{2}}"," ",0,"1/2*x^2*sin_integral(b*x) + 1/2*x*cos(b*x)/b - 1/2*sin(b*x)/b^2","A",0
5,1,15,0,0.622173," ","integrate(Si(b*x),x, algorithm=""giac"")","x \operatorname{Si}\left(b x\right) + \frac{\cos\left(b x\right)}{b}"," ",0,"x*sin_integral(b*x) + cos(b*x)/b","A",0
6,0,0,0,0.000000," ","integrate(Si(b*x)/x,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x\right)}{x}\,{d x}"," ",0,"integrate(Si(b*x)/x, x)","F",0
7,1,37,0,0.842334," ","integrate(Si(b*x)/x^2,x, algorithm=""giac"")","\frac{b x \operatorname{Ci}\left(b x\right) + b x \operatorname{Ci}\left(-b x\right) - 2 \, \sin\left(b x\right)}{2 \, x} - \frac{\operatorname{Si}\left(b x\right)}{x}"," ",0,"1/2*(b*x*cos_integral(b*x) + b*x*cos_integral(-b*x) - 2*sin(b*x))/x - sin_integral(b*x)/x","A",0
8,1,149,0,1.574595," ","integrate(Si(b*x)/x^3,x, algorithm=""giac"")","-\frac{b^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - b^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b^{2} x^{2} \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, b x\right)^{2} + b^{2} x^{2} \Im \left( \operatorname{Ci}\left(b x\right) \right) - b^{2} x^{2} \Im \left( \operatorname{Ci}\left(-b x\right) \right) + 2 \, b^{2} x^{2} \operatorname{Si}\left(b x\right) - 2 \, b x \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b x + 4 \, \tan\left(\frac{1}{2} \, b x\right)}{8 \, {\left(x^{2} \tan\left(\frac{1}{2} \, b x\right)^{2} + x^{2}\right)}} - \frac{\operatorname{Si}\left(b x\right)}{2 \, x^{2}}"," ",0,"-1/8*(b^2*x^2*imag_part(cos_integral(b*x))*tan(1/2*b*x)^2 - b^2*x^2*imag_part(cos_integral(-b*x))*tan(1/2*b*x)^2 + 2*b^2*x^2*sin_integral(b*x)*tan(1/2*b*x)^2 + b^2*x^2*imag_part(cos_integral(b*x)) - b^2*x^2*imag_part(cos_integral(-b*x)) + 2*b^2*x^2*sin_integral(b*x) - 2*b*x*tan(1/2*b*x)^2 + 2*b*x + 4*tan(1/2*b*x))/(x^2*tan(1/2*b*x)^2 + x^2) - 1/2*sin_integral(b*x)/x^2","C",0
9,0,0,0,0.000000," ","integrate(x^m*Si(b*x)^2,x, algorithm=""giac"")","\int x^{m} {\rm Si}\left(b x\right)^{2}\,{d x}"," ",0,"integrate(x^m*Si(b*x)^2, x)","F",0
10,1,117,0,1.745708," ","integrate(x^3*Si(b*x)^2,x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \operatorname{Si}\left(b x\right)^{2} + \frac{1}{2} \, {\left(\frac{{\left(b^{3} x^{3} - 6 \, b x\right)} \cos\left(b x\right)}{b^{4}} - \frac{3 \, {\left(b^{2} x^{2} - 2\right)} \sin\left(b x\right)}{b^{4}}\right)} \operatorname{Si}\left(b x\right) + \frac{b^{2} x^{2} \cos\left(2 \, b x\right) + 3 \, b^{2} x^{2} - 4 \, b x \sin\left(2 \, b x\right) - 8 \, \cos\left(2 \, b x\right) + 6 \, \operatorname{Ci}\left(2 \, b x\right) + 6 \, \operatorname{Ci}\left(-2 \, b x\right) - 12 \, \log\left(x\right)}{8 \, b^{4}}"," ",0,"1/4*x^4*sin_integral(b*x)^2 + 1/2*((b^3*x^3 - 6*b*x)*cos(b*x)/b^4 - 3*(b^2*x^2 - 2)*sin(b*x)/b^4)*sin_integral(b*x) + 1/8*(b^2*x^2*cos(2*b*x) + 3*b^2*x^2 - 4*b*x*sin(2*b*x) - 8*cos(2*b*x) + 6*cos_integral(2*b*x) + 6*cos_integral(-2*b*x) - 12*log(x))/b^4","A",0
11,1,150,0,0.600763," ","integrate(x^2*Si(b*x)^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \operatorname{Si}\left(b x\right)^{2} - \frac{2}{3} \, {\left(\frac{2 \, x \sin\left(b x\right)}{b^{2}} - \frac{{\left(b^{2} x^{2} - 2\right)} \cos\left(b x\right)}{b^{3}}\right)} \operatorname{Si}\left(b x\right) + \frac{3 \, b x \tan\left(b x\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(b x\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(b x\right)^{2} + 4 \, \operatorname{Si}\left(2 \, b x\right) \tan\left(b x\right)^{2} + 5 \, b x + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) + 4 \, \operatorname{Si}\left(2 \, b x\right) - 5 \, \tan\left(b x\right)}{6 \, {\left(b^{3} \tan\left(b x\right)^{2} + b^{3}\right)}}"," ",0,"1/3*x^3*sin_integral(b*x)^2 - 2/3*(2*x*sin(b*x)/b^2 - (b^2*x^2 - 2)*cos(b*x)/b^3)*sin_integral(b*x) + 1/6*(3*b*x*tan(b*x)^2 + 2*imag_part(cos_integral(2*b*x))*tan(b*x)^2 - 2*imag_part(cos_integral(-2*b*x))*tan(b*x)^2 + 4*sin_integral(2*b*x)*tan(b*x)^2 + 5*b*x + 2*imag_part(cos_integral(2*b*x)) - 2*imag_part(cos_integral(-2*b*x)) + 4*sin_integral(2*b*x) - 5*tan(b*x))/(b^3*tan(b*x)^2 + b^3)","C",0
12,1,65,0,0.604231," ","integrate(x*Si(b*x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \operatorname{Si}\left(b x\right)^{2} + {\left(\frac{x \cos\left(b x\right)}{b} - \frac{\sin\left(b x\right)}{b^{2}}\right)} \operatorname{Si}\left(b x\right) + \frac{\cos\left(2 \, b x\right) - \operatorname{Ci}\left(2 \, b x\right) - \operatorname{Ci}\left(-2 \, b x\right) + 2 \, \log\left(x\right)}{4 \, b^{2}}"," ",0,"1/2*x^2*sin_integral(b*x)^2 + (x*cos(b*x)/b - sin(b*x)/b^2)*sin_integral(b*x) + 1/4*(cos(2*b*x) - cos_integral(2*b*x) - cos_integral(-2*b*x) + 2*log(x))/b^2","A",0
13,1,49,0,0.640183," ","integrate(Si(b*x)^2,x, algorithm=""giac"")","x \operatorname{Si}\left(b x\right)^{2} + \frac{2 \, \cos\left(b x\right) \operatorname{Si}\left(b x\right)}{b} - \frac{\Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) - \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) + 2 \, \operatorname{Si}\left(2 \, b x\right)}{2 \, b}"," ",0,"x*sin_integral(b*x)^2 + 2*cos(b*x)*sin_integral(b*x)/b - 1/2*(imag_part(cos_integral(2*b*x)) - imag_part(cos_integral(-2*b*x)) + 2*sin_integral(2*b*x))/b","C",0
14,0,0,0,0.000000," ","integrate(Si(b*x)^2/x,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x\right)^{2}}{x}\,{d x}"," ",0,"integrate(Si(b*x)^2/x, x)","F",0
15,0,0,0,0.000000," ","integrate(Si(b*x)^2/x^2,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(Si(b*x)^2/x^2, x)","F",0
16,0,0,0,0.000000," ","integrate(Si(b*x)^2/x^3,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(Si(b*x)^2/x^3, x)","F",0
17,0,0,0,0.000000," ","integrate(x^m*Si(b*x+a),x, algorithm=""giac"")","\int x^{m} {\rm Si}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*Si(b*x + a), x)","F",0
18,1,338,0,0.752046," ","integrate(x^3*Si(b*x+a),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \operatorname{Si}\left(b x + a\right) - \frac{{\left(2 \, b^{3} x^{3} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - 2 \, a b^{2} x^{2} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + a^{4} \Im \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - a^{4} \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 2 \, a^{4} \operatorname{Si}\left(b x + a\right) \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - 2 \, b^{3} x^{3} + 2 \, a^{2} b x \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 2 \, a b^{2} x^{2} + a^{4} \Im \left( \operatorname{Ci}\left(b x + a\right) \right) - a^{4} \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) + 2 \, a^{4} \operatorname{Si}\left(b x + a\right) + 12 \, b^{2} x^{2} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 2 \, a^{3} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - 2 \, a^{2} b x - 8 \, a b x \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 12 \, b x \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 2 \, a^{3} + 4 \, a^{2} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) + 4 \, a \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 12 \, b x - 4 \, a - 24 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right)} b}{8 \, {\left(b^{5} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + b^{5}\right)}}"," ",0,"1/4*x^4*sin_integral(b*x + a) - 1/8*(2*b^3*x^3*tan(1/2*b*x + 1/2*a)^2 - 2*a*b^2*x^2*tan(1/2*b*x + 1/2*a)^2 + a^4*imag_part(cos_integral(b*x + a))*tan(1/2*b*x + 1/2*a)^2 - a^4*imag_part(cos_integral(-b*x - a))*tan(1/2*b*x + 1/2*a)^2 + 2*a^4*sin_integral(b*x + a)*tan(1/2*b*x + 1/2*a)^2 - 2*b^3*x^3 + 2*a^2*b*x*tan(1/2*b*x + 1/2*a)^2 + 2*a*b^2*x^2 + a^4*imag_part(cos_integral(b*x + a)) - a^4*imag_part(cos_integral(-b*x - a)) + 2*a^4*sin_integral(b*x + a) + 12*b^2*x^2*tan(1/2*b*x + 1/2*a) - 2*a^3*tan(1/2*b*x + 1/2*a)^2 - 2*a^2*b*x - 8*a*b*x*tan(1/2*b*x + 1/2*a) - 12*b*x*tan(1/2*b*x + 1/2*a)^2 + 2*a^3 + 4*a^2*tan(1/2*b*x + 1/2*a) + 4*a*tan(1/2*b*x + 1/2*a)^2 + 12*b*x - 4*a - 24*tan(1/2*b*x + 1/2*a))*b/(b^5*tan(1/2*b*x + 1/2*a)^2 + b^5)","C",0
19,1,252,0,0.834532," ","integrate(x^2*Si(b*x+a),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \operatorname{Si}\left(b x + a\right) - \frac{{\left(2 \, b^{2} x^{2} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - a^{3} \Im \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + a^{3} \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - 2 \, a^{3} \operatorname{Si}\left(b x + a\right) \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - 2 \, a b x \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - 2 \, b^{2} x^{2} - a^{3} \Im \left( \operatorname{Ci}\left(b x + a\right) \right) + a^{3} \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) - 2 \, a^{3} \operatorname{Si}\left(b x + a\right) + 2 \, a^{2} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 2 \, a b x + 8 \, b x \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 2 \, a^{2} - 4 \, a \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - 4 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 4\right)} b}{6 \, {\left(b^{4} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + b^{4}\right)}}"," ",0,"1/3*x^3*sin_integral(b*x + a) - 1/6*(2*b^2*x^2*tan(1/2*b*x + 1/2*a)^2 - a^3*imag_part(cos_integral(b*x + a))*tan(1/2*b*x + 1/2*a)^2 + a^3*imag_part(cos_integral(-b*x - a))*tan(1/2*b*x + 1/2*a)^2 - 2*a^3*sin_integral(b*x + a)*tan(1/2*b*x + 1/2*a)^2 - 2*a*b*x*tan(1/2*b*x + 1/2*a)^2 - 2*b^2*x^2 - a^3*imag_part(cos_integral(b*x + a)) + a^3*imag_part(cos_integral(-b*x - a)) - 2*a^3*sin_integral(b*x + a) + 2*a^2*tan(1/2*b*x + 1/2*a)^2 + 2*a*b*x + 8*b*x*tan(1/2*b*x + 1/2*a) - 2*a^2 - 4*a*tan(1/2*b*x + 1/2*a) - 4*tan(1/2*b*x + 1/2*a)^2 + 4)*b/(b^4*tan(1/2*b*x + 1/2*a)^2 + b^4)","C",0
20,1,191,0,0.771418," ","integrate(x*Si(b*x+a),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \operatorname{Si}\left(b x + a\right) - \frac{{\left(a^{2} \Im \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - a^{2} \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 2 \, a^{2} \operatorname{Si}\left(b x + a\right) \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 2 \, b x \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + a^{2} \Im \left( \operatorname{Ci}\left(b x + a\right) \right) - a^{2} \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) + 2 \, a^{2} \operatorname{Si}\left(b x + a\right) - 2 \, a \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - 2 \, b x + 2 \, a + 4 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right)} b}{4 \, {\left(b^{3} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + b^{3}\right)}}"," ",0,"1/2*x^2*sin_integral(b*x + a) - 1/4*(a^2*imag_part(cos_integral(b*x + a))*tan(1/2*b*x + 1/2*a)^2 - a^2*imag_part(cos_integral(-b*x - a))*tan(1/2*b*x + 1/2*a)^2 + 2*a^2*sin_integral(b*x + a)*tan(1/2*b*x + 1/2*a)^2 + 2*b*x*tan(1/2*b*x + 1/2*a)^2 + a^2*imag_part(cos_integral(b*x + a)) - a^2*imag_part(cos_integral(-b*x - a)) + 2*a^2*sin_integral(b*x + a) - 2*a*tan(1/2*b*x + 1/2*a)^2 - 2*b*x + 2*a + 4*tan(1/2*b*x + 1/2*a))*b/(b^3*tan(1/2*b*x + 1/2*a)^2 + b^3)","C",0
21,1,303,0,0.605759," ","integrate(Si(b*x+a),x, algorithm=""giac"")","x \operatorname{Si}\left(b x + a\right) + \frac{{\left(a \Im \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - a \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, a \operatorname{Si}\left(b x + a\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + a \Im \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - a \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, a \operatorname{Si}\left(b x + a\right) \tan\left(\frac{1}{2} \, b x\right)^{2} + a \Im \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - a \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, a \operatorname{Si}\left(b x + a\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} + a \Im \left( \operatorname{Ci}\left(b x + a\right) \right) - a \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) + 2 \, a \operatorname{Si}\left(b x + a\right) - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{2} - 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} + 2\right)} b}{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} + b^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2}\right)}}"," ",0,"x*sin_integral(b*x + a) + 1/2*(a*imag_part(cos_integral(b*x + a))*tan(1/2*b*x)^2*tan(1/2*a)^2 - a*imag_part(cos_integral(-b*x - a))*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*a*sin_integral(b*x + a)*tan(1/2*b*x)^2*tan(1/2*a)^2 + a*imag_part(cos_integral(b*x + a))*tan(1/2*b*x)^2 - a*imag_part(cos_integral(-b*x - a))*tan(1/2*b*x)^2 + 2*a*sin_integral(b*x + a)*tan(1/2*b*x)^2 + a*imag_part(cos_integral(b*x + a))*tan(1/2*a)^2 - a*imag_part(cos_integral(-b*x - a))*tan(1/2*a)^2 + 2*a*sin_integral(b*x + a)*tan(1/2*a)^2 + 2*tan(1/2*b*x)^2*tan(1/2*a)^2 + a*imag_part(cos_integral(b*x + a)) - a*imag_part(cos_integral(-b*x - a)) + 2*a*sin_integral(b*x + a) - 2*tan(1/2*b*x)^2 - 8*tan(1/2*b*x)*tan(1/2*a) - 2*tan(1/2*a)^2 + 2)*b/(b^2*tan(1/2*b*x)^2*tan(1/2*a)^2 + b^2*tan(1/2*b*x)^2 + b^2*tan(1/2*a)^2 + b^2)","C",0
22,0,0,0,0.000000," ","integrate(Si(b*x+a)/x,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(Si(b*x + a)/x, x)","F",0
23,1,181,0,1.114640," ","integrate(Si(b*x+a)/x^2,x, algorithm=""giac"")","-\frac{{\left(\Im \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \operatorname{Si}\left(b x + a\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right) + \Im \left( \operatorname{Ci}\left(b x + a\right) \right) - \Im \left( \operatorname{Ci}\left(b x\right) \right) - \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) + \Im \left( \operatorname{Ci}\left(-b x\right) \right) + 2 \, \operatorname{Si}\left(b x + a\right) - 2 \, \operatorname{Si}\left(b x\right)\right)} b}{2 \, {\left(a \tan\left(\frac{1}{2} \, a\right)^{2} + a\right)}} - \frac{\operatorname{Si}\left(b x + a\right)}{x}"," ",0,"-1/2*(imag_part(cos_integral(b*x + a))*tan(1/2*a)^2 + imag_part(cos_integral(b*x))*tan(1/2*a)^2 - imag_part(cos_integral(-b*x - a))*tan(1/2*a)^2 - imag_part(cos_integral(-b*x))*tan(1/2*a)^2 + 2*sin_integral(b*x + a)*tan(1/2*a)^2 + 2*sin_integral(b*x)*tan(1/2*a)^2 - 2*real_part(cos_integral(b*x))*tan(1/2*a) - 2*real_part(cos_integral(-b*x))*tan(1/2*a) + imag_part(cos_integral(b*x + a)) - imag_part(cos_integral(b*x)) - imag_part(cos_integral(-b*x - a)) + imag_part(cos_integral(-b*x)) + 2*sin_integral(b*x + a) - 2*sin_integral(b*x))*b/(a*tan(1/2*a)^2 + a) - sin_integral(b*x + a)/x","C",0
24,1,809,0,1.287981," ","integrate(Si(b*x+a)/x^3,x, algorithm=""giac"")","-\frac{{\left(a b x \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + a b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, a b x \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 2 \, a b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 4 \, a b x \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - b x \Im \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - b x \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b x \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b x \operatorname{Si}\left(b x + a\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b x \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - a b x \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - a b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b x \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + a b x \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + a b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - b x \Im \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} + b x \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} + b x \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - 2 \, b x \operatorname{Si}\left(b x + a\right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b x \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, a b x \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - 2 \, a b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right) + 4 \, a b x \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, a\right) - b x \Im \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - b x \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + b x \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b x \operatorname{Si}\left(b x + a\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b x \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - a b x \Re \left( \operatorname{Ci}\left(b x\right) \right) - a b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) + 2 \, b x \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right) + 2 \, b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - 4 \, a \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 4 \, a \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - b x \Im \left( \operatorname{Ci}\left(b x + a\right) \right) + b x \Im \left( \operatorname{Ci}\left(b x\right) \right) + b x \Im \left( \operatorname{Ci}\left(-b x - a\right) \right) - b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) - 2 \, b x \operatorname{Si}\left(b x + a\right) + 2 \, b x \operatorname{Si}\left(b x\right) + 4 \, a \tan\left(\frac{1}{2} \, b x\right) + 4 \, a \tan\left(\frac{1}{2} \, a\right)\right)} b}{4 \, {\left(a^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + a^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} + a^{2} x \tan\left(\frac{1}{2} \, a\right)^{2} + a^{2} x\right)}} - \frac{\operatorname{Si}\left(b x + a\right)}{2 \, x^{2}}"," ",0,"-1/4*(a*b*x*real_part(cos_integral(b*x))*tan(1/2*b*x)^2*tan(1/2*a)^2 + a*b*x*real_part(cos_integral(-b*x))*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*a*b*x*imag_part(cos_integral(b*x))*tan(1/2*b*x)^2*tan(1/2*a) - 2*a*b*x*imag_part(cos_integral(-b*x))*tan(1/2*b*x)^2*tan(1/2*a) + 4*a*b*x*sin_integral(b*x)*tan(1/2*b*x)^2*tan(1/2*a) - b*x*imag_part(cos_integral(b*x + a))*tan(1/2*b*x)^2*tan(1/2*a)^2 - b*x*imag_part(cos_integral(b*x))*tan(1/2*b*x)^2*tan(1/2*a)^2 + b*x*imag_part(cos_integral(-b*x - a))*tan(1/2*b*x)^2*tan(1/2*a)^2 + b*x*imag_part(cos_integral(-b*x))*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*b*x*sin_integral(b*x + a)*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*b*x*sin_integral(b*x)*tan(1/2*b*x)^2*tan(1/2*a)^2 - a*b*x*real_part(cos_integral(b*x))*tan(1/2*b*x)^2 - a*b*x*real_part(cos_integral(-b*x))*tan(1/2*b*x)^2 + 2*b*x*real_part(cos_integral(b*x))*tan(1/2*b*x)^2*tan(1/2*a) + 2*b*x*real_part(cos_integral(-b*x))*tan(1/2*b*x)^2*tan(1/2*a) + a*b*x*real_part(cos_integral(b*x))*tan(1/2*a)^2 + a*b*x*real_part(cos_integral(-b*x))*tan(1/2*a)^2 - b*x*imag_part(cos_integral(b*x + a))*tan(1/2*b*x)^2 + b*x*imag_part(cos_integral(b*x))*tan(1/2*b*x)^2 + b*x*imag_part(cos_integral(-b*x - a))*tan(1/2*b*x)^2 - b*x*imag_part(cos_integral(-b*x))*tan(1/2*b*x)^2 - 2*b*x*sin_integral(b*x + a)*tan(1/2*b*x)^2 + 2*b*x*sin_integral(b*x)*tan(1/2*b*x)^2 + 2*a*b*x*imag_part(cos_integral(b*x))*tan(1/2*a) - 2*a*b*x*imag_part(cos_integral(-b*x))*tan(1/2*a) + 4*a*b*x*sin_integral(b*x)*tan(1/2*a) - b*x*imag_part(cos_integral(b*x + a))*tan(1/2*a)^2 - b*x*imag_part(cos_integral(b*x))*tan(1/2*a)^2 + b*x*imag_part(cos_integral(-b*x - a))*tan(1/2*a)^2 + b*x*imag_part(cos_integral(-b*x))*tan(1/2*a)^2 - 2*b*x*sin_integral(b*x + a)*tan(1/2*a)^2 - 2*b*x*sin_integral(b*x)*tan(1/2*a)^2 - a*b*x*real_part(cos_integral(b*x)) - a*b*x*real_part(cos_integral(-b*x)) + 2*b*x*real_part(cos_integral(b*x))*tan(1/2*a) + 2*b*x*real_part(cos_integral(-b*x))*tan(1/2*a) - 4*a*tan(1/2*b*x)^2*tan(1/2*a) - 4*a*tan(1/2*b*x)*tan(1/2*a)^2 - b*x*imag_part(cos_integral(b*x + a)) + b*x*imag_part(cos_integral(b*x)) + b*x*imag_part(cos_integral(-b*x - a)) - b*x*imag_part(cos_integral(-b*x)) - 2*b*x*sin_integral(b*x + a) + 2*b*x*sin_integral(b*x) + 4*a*tan(1/2*b*x) + 4*a*tan(1/2*a))*b/(a^2*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + a^2*x*tan(1/2*b*x)^2 + a^2*x*tan(1/2*a)^2 + a^2*x) - 1/2*sin_integral(b*x + a)/x^2","C",0
25,0,0,0,0.000000," ","integrate(x^m*Si(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} {\rm Si}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*Si(b*x + a)^2, x)","F",0
26,0,0,0,0.000000," ","integrate(x^2*Si(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} {\rm Si}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*Si(b*x + a)^2, x)","F",0
27,0,0,0,0.000000," ","integrate(x*Si(b*x+a)^2,x, algorithm=""giac"")","\int x {\rm Si}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x*Si(b*x + a)^2, x)","F",0
28,0,0,0,0.000000," ","integrate(Si(b*x+a)^2,x, algorithm=""giac"")","\int {\rm Si}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(Si(b*x + a)^2, x)","F",0
29,0,0,0,0.000000," ","integrate(Si(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(Si(b*x + a)^2/x, x)","F",0
30,0,0,0,0.000000," ","integrate(Si(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(Si(b*x + a)^2/x^2, x)","F",0
31,0,0,0,0.000000," ","integrate(Si(b*x+a)^2/x^3,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x + a\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(Si(b*x + a)^2/x^3, x)","F",0
32,-1,0,0,0.000000," ","integrate(x^2*Si(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
33,-1,0,0,0.000000," ","integrate(x*Si(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,-1,0,0,0.000000," ","integrate(Si(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,1,59,0,3.999949," ","integrate(Si(d*(a+b*log(c*x^n)))/x,x, algorithm=""giac"")","\frac{{\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)} \operatorname{Si}\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right) + \cos\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)}{b d n}"," ",0,"((b*d*n*log(x) + b*d*log(c) + a*d)*sin_integral(b*d*n*log(x) + b*d*log(c) + a*d) + cos(b*d*n*log(x) + b*d*log(c) + a*d))/(b*d*n)","A",0
36,-1,0,0,0.000000," ","integrate(Si(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
37,-1,0,0,0.000000," ","integrate(Si(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,-1,0,0,0.000000," ","integrate((e*x)^m*Si(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,0,0,0,0.000000," ","integrate(Si(b*x)*sin(b*x)/x^3,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x\right) \sin\left(b x\right)}{x^{3}}\,{d x}"," ",0,"integrate(Si(b*x)*sin(b*x)/x^3, x)","F",0
40,0,0,0,0.000000," ","integrate(Si(b*x)*sin(b*x)/x^2,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x\right) \sin\left(b x\right)}{x^{2}}\,{d x}"," ",0,"integrate(Si(b*x)*sin(b*x)/x^2, x)","F",0
41,0,0,0,0.000000," ","integrate(Si(b*x)*sin(b*x)/x,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x\right) \sin\left(b x\right)}{x}\,{d x}"," ",0,"integrate(Si(b*x)*sin(b*x)/x, x)","F",0
42,1,41,0,0.228392," ","integrate(Si(b*x)*sin(b*x),x, algorithm=""giac"")","-\frac{\cos\left(b x\right) \operatorname{Si}\left(b x\right)}{b} + \frac{\Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) - \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) + 2 \, \operatorname{Si}\left(2 \, b x\right)}{4 \, b}"," ",0,"-cos(b*x)*sin_integral(b*x)/b + 1/4*(imag_part(cos_integral(2*b*x)) - imag_part(cos_integral(-2*b*x)) + 2*sin_integral(2*b*x))/b","C",0
43,1,55,0,0.182334," ","integrate(x*Si(b*x)*sin(b*x),x, algorithm=""giac"")","-{\left(\frac{x \cos\left(b x\right)}{b} - \frac{\sin\left(b x\right)}{b^{2}}\right)} \operatorname{Si}\left(b x\right) - \frac{\cos\left(2 \, b x\right) - \operatorname{Ci}\left(2 \, b x\right) - \operatorname{Ci}\left(-2 \, b x\right) + 2 \, \log\left(x\right)}{4 \, b^{2}}"," ",0,"-(x*cos(b*x)/b - sin(b*x)/b^2)*sin_integral(b*x) - 1/4*(cos(2*b*x) - cos_integral(2*b*x) - cos_integral(-2*b*x) + 2*log(x))/b^2","A",0
44,1,138,0,0.243837," ","integrate(x^2*Si(b*x)*sin(b*x),x, algorithm=""giac"")","{\left(\frac{2 \, x \sin\left(b x\right)}{b^{2}} - \frac{{\left(b^{2} x^{2} - 2\right)} \cos\left(b x\right)}{b^{3}}\right)} \operatorname{Si}\left(b x\right) - \frac{3 \, b x \tan\left(b x\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(b x\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(b x\right)^{2} + 4 \, \operatorname{Si}\left(2 \, b x\right) \tan\left(b x\right)^{2} + 5 \, b x + 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) - 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) + 4 \, \operatorname{Si}\left(2 \, b x\right) - 5 \, \tan\left(b x\right)}{4 \, {\left(b^{3} \tan\left(b x\right)^{2} + b^{3}\right)}}"," ",0,"(2*x*sin(b*x)/b^2 - (b^2*x^2 - 2)*cos(b*x)/b^3)*sin_integral(b*x) - 1/4*(3*b*x*tan(b*x)^2 + 2*imag_part(cos_integral(2*b*x))*tan(b*x)^2 - 2*imag_part(cos_integral(-2*b*x))*tan(b*x)^2 + 4*sin_integral(2*b*x)*tan(b*x)^2 + 5*b*x + 2*imag_part(cos_integral(2*b*x)) - 2*imag_part(cos_integral(-2*b*x)) + 4*sin_integral(2*b*x) - 5*tan(b*x))/(b^3*tan(b*x)^2 + b^3)","C",0
45,1,106,0,0.183645," ","integrate(x^3*Si(b*x)*sin(b*x),x, algorithm=""giac"")","-{\left(\frac{{\left(b^{3} x^{3} - 6 \, b x\right)} \cos\left(b x\right)}{b^{4}} - \frac{3 \, {\left(b^{2} x^{2} - 2\right)} \sin\left(b x\right)}{b^{4}}\right)} \operatorname{Si}\left(b x\right) - \frac{b^{2} x^{2} \cos\left(2 \, b x\right) + 3 \, b^{2} x^{2} - 4 \, b x \sin\left(2 \, b x\right) - 8 \, \cos\left(2 \, b x\right) + 6 \, \operatorname{Ci}\left(2 \, b x\right) + 6 \, \operatorname{Ci}\left(-2 \, b x\right) - 12 \, \log\left(x\right)}{4 \, b^{4}}"," ",0,"-((b^3*x^3 - 6*b*x)*cos(b*x)/b^4 - 3*(b^2*x^2 - 2)*sin(b*x)/b^4)*sin_integral(b*x) - 1/4*(b^2*x^2*cos(2*b*x) + 3*b^2*x^2 - 4*b*x*sin(2*b*x) - 8*cos(2*b*x) + 6*cos_integral(2*b*x) + 6*cos_integral(-2*b*x) - 12*log(x))/b^4","A",0
46,0,0,0,0.000000," ","integrate(cos(b*x)*Si(b*x)/x^3,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x\right) \cos\left(b x\right)}{x^{3}}\,{d x}"," ",0,"integrate(Si(b*x)*cos(b*x)/x^3, x)","F",0
47,0,0,0,0.000000," ","integrate(cos(b*x)*Si(b*x)/x^2,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x\right) \cos\left(b x\right)}{x^{2}}\,{d x}"," ",0,"integrate(Si(b*x)*cos(b*x)/x^2, x)","F",0
48,0,0,0,0.000000," ","integrate(cos(b*x)*Si(b*x)/x,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x\right) \cos\left(b x\right)}{x}\,{d x}"," ",0,"integrate(Si(b*x)*cos(b*x)/x, x)","F",0
49,1,33,0,0.152145," ","integrate(cos(b*x)*Si(b*x),x, algorithm=""giac"")","\frac{\sin\left(b x\right) \operatorname{Si}\left(b x\right)}{b} + \frac{\operatorname{Ci}\left(2 \, b x\right) + \operatorname{Ci}\left(-2 \, b x\right) - 2 \, \log\left(x\right)}{4 \, b}"," ",0,"sin(b*x)*sin_integral(b*x)/b + 1/4*(cos_integral(2*b*x) + cos_integral(-2*b*x) - 2*log(x))/b","A",0
50,1,124,0,0.169255," ","integrate(x*cos(b*x)*Si(b*x),x, algorithm=""giac"")","{\left(\frac{x \sin\left(b x\right)}{b} + \frac{\cos\left(b x\right)}{b^{2}}\right)} \operatorname{Si}\left(b x\right) - \frac{2 \, b x \tan\left(b x\right)^{2} + \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(b x\right)^{2} - \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(b x\right)^{2} + 2 \, \operatorname{Si}\left(2 \, b x\right) \tan\left(b x\right)^{2} + 2 \, b x + \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) - \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) + 2 \, \operatorname{Si}\left(2 \, b x\right) - 2 \, \tan\left(b x\right)}{4 \, {\left(b^{2} \tan\left(b x\right)^{2} + b^{2}\right)}}"," ",0,"(x*sin(b*x)/b + cos(b*x)/b^2)*sin_integral(b*x) - 1/4*(2*b*x*tan(b*x)^2 + imag_part(cos_integral(2*b*x))*tan(b*x)^2 - imag_part(cos_integral(-2*b*x))*tan(b*x)^2 + 2*sin_integral(2*b*x)*tan(b*x)^2 + 2*b*x + imag_part(cos_integral(2*b*x)) - imag_part(cos_integral(-2*b*x)) + 2*sin_integral(2*b*x) - 2*tan(b*x))/(b^2*tan(b*x)^2 + b^2)","C",0
51,1,82,0,0.232735," ","integrate(x^2*cos(b*x)*Si(b*x),x, algorithm=""giac"")","{\left(\frac{2 \, x \cos\left(b x\right)}{b^{2}} + \frac{{\left(b^{2} x^{2} - 2\right)} \sin\left(b x\right)}{b^{3}}\right)} \operatorname{Si}\left(b x\right) - \frac{2 \, b^{2} x^{2} - 2 \, b x \sin\left(2 \, b x\right) - 5 \, \cos\left(2 \, b x\right) + 4 \, \operatorname{Ci}\left(2 \, b x\right) + 4 \, \operatorname{Ci}\left(-2 \, b x\right) - 8 \, \log\left(x\right)}{8 \, b^{3}}"," ",0,"(2*x*cos(b*x)/b^2 + (b^2*x^2 - 2)*sin(b*x)/b^3)*sin_integral(b*x) - 1/8*(2*b^2*x^2 - 2*b*x*sin(2*b*x) - 5*cos(2*b*x) + 4*cos_integral(2*b*x) + 4*cos_integral(-2*b*x) - 8*log(x))/b^3","A",0
52,1,180,0,0.334007," ","integrate(x^3*cos(b*x)*Si(b*x),x, algorithm=""giac"")","{\left(\frac{3 \, {\left(b^{2} x^{2} - 2\right)} \cos\left(b x\right)}{b^{4}} + \frac{{\left(b^{3} x^{3} - 6 \, b x\right)} \sin\left(b x\right)}{b^{4}}\right)} \operatorname{Si}\left(b x\right) - \frac{b^{3} x^{3} \tan\left(b x\right)^{2} + b^{3} x^{3} - 3 \, b^{2} x^{2} \tan\left(b x\right) - 12 \, b x \tan\left(b x\right)^{2} - 9 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(b x\right)^{2} + 9 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(b x\right)^{2} - 18 \, \operatorname{Si}\left(2 \, b x\right) \tan\left(b x\right)^{2} - 24 \, b x - 9 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) + 9 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) - 18 \, \operatorname{Si}\left(2 \, b x\right) + 24 \, \tan\left(b x\right)}{6 \, {\left(b^{4} \tan\left(b x\right)^{2} + b^{4}\right)}}"," ",0,"(3*(b^2*x^2 - 2)*cos(b*x)/b^4 + (b^3*x^3 - 6*b*x)*sin(b*x)/b^4)*sin_integral(b*x) - 1/6*(b^3*x^3*tan(b*x)^2 + b^3*x^3 - 3*b^2*x^2*tan(b*x) - 12*b*x*tan(b*x)^2 - 9*imag_part(cos_integral(2*b*x))*tan(b*x)^2 + 9*imag_part(cos_integral(-2*b*x))*tan(b*x)^2 - 18*sin_integral(2*b*x)*tan(b*x)^2 - 24*b*x - 9*imag_part(cos_integral(2*b*x)) + 9*imag_part(cos_integral(-2*b*x)) - 18*sin_integral(2*b*x) + 24*tan(b*x))/(b^4*tan(b*x)^2 + b^4)","C",0
53,1,23,0,0.186204," ","integrate(Si(2*x)*sin(5*x),x, algorithm=""giac"")","-\frac{1}{5} \, \cos\left(5 \, x\right) \operatorname{Si}\left(2 \, x\right) + \frac{1}{10} \, \operatorname{Si}\left(7 \, x\right) - \frac{1}{10} \, \operatorname{Si}\left(3 \, x\right)"," ",0,"-1/5*cos(5*x)*sin_integral(2*x) + 1/10*sin_integral(7*x) - 1/10*sin_integral(3*x)","A",0
54,1,23,0,0.178388," ","integrate(cos(5*x)*Si(2*x),x, algorithm=""giac"")","\frac{1}{5} \, \sin\left(5 \, x\right) \operatorname{Si}\left(2 \, x\right) + \frac{1}{10} \, \operatorname{Ci}\left(7 \, x\right) - \frac{1}{10} \, \operatorname{Ci}\left(3 \, x\right)"," ",0,"1/5*sin(5*x)*sin_integral(2*x) + 1/10*cos_integral(7*x) - 1/10*cos_integral(3*x)","A",0
55,1,398,0,0.441797," ","integrate(x^2*Si(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","{\left(\frac{2 \, x \sin\left(b x + a\right)}{b^{2}} - \frac{{\left(b^{2} x^{2} - 2\right)} \cos\left(b x + a\right)}{b^{3}}\right)} \operatorname{Si}\left(b x + a\right) + \frac{a^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} - a^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + 2 \, a^{2} \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x + a\right)^{2} - 3 \, b x \tan\left(b x + a\right)^{2} + 4 \, a \log\left({\left| b x + a \right|}\right) \tan\left(b x + a\right)^{2} - 2 \, a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} - 2 \, a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + a^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - a^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 2 \, a^{2} \operatorname{Si}\left(2 \, b x + 2 \, a\right) - a \tan\left(b x + a\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} - 4 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x + a\right)^{2} - 5 \, b x + 4 \, a \log\left({\left| b x + a \right|}\right) - 2 \, a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - 2 \, a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + a - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) - 4 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) + 5 \, \tan\left(b x + a\right)}{4 \, {\left(b^{3} \tan\left(b x + a\right)^{2} + b^{3}\right)}}"," ",0,"(2*x*sin(b*x + a)/b^2 - (b^2*x^2 - 2)*cos(b*x + a)/b^3)*sin_integral(b*x + a) + 1/4*(a^2*imag_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 - a^2*imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 + 2*a^2*sin_integral(2*b*x + 2*a)*tan(b*x + a)^2 - 3*b*x*tan(b*x + a)^2 + 4*a*log(abs(b*x + a))*tan(b*x + a)^2 - 2*a*real_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 - 2*a*real_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 + a^2*imag_part(cos_integral(2*b*x + 2*a)) - a^2*imag_part(cos_integral(-2*b*x - 2*a)) + 2*a^2*sin_integral(2*b*x + 2*a) - a*tan(b*x + a)^2 - 2*imag_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 + 2*imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 - 4*sin_integral(2*b*x + 2*a)*tan(b*x + a)^2 - 5*b*x + 4*a*log(abs(b*x + a)) - 2*a*real_part(cos_integral(2*b*x + 2*a)) - 2*a*real_part(cos_integral(-2*b*x - 2*a)) + a - 2*imag_part(cos_integral(2*b*x + 2*a)) + 2*imag_part(cos_integral(-2*b*x - 2*a)) - 4*sin_integral(2*b*x + 2*a) + 5*tan(b*x + a))/(b^3*tan(b*x + a)^2 + b^3)","C",0
56,1,507,0,0.317601," ","integrate(x*Si(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-{\left(\frac{x \cos\left(b x + a\right)}{b} - \frac{\sin\left(b x + a\right)}{b^{2}}\right)} \operatorname{Si}\left(b x + a\right) - \frac{a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 2 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 2 \, \log\left({\left| b x + a \right|}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} - a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} + 2 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x\right)^{2} + a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(a\right)^{2} - a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(a\right)^{2} + 2 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(a\right)^{2} + \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 2 \, \log\left({\left| b x + a \right|}\right) \tan\left(b x\right)^{2} - \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} - \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} + 2 \, \log\left({\left| b x + a \right|}\right) \tan\left(a\right)^{2} - \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(a\right)^{2} - \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(a\right)^{2} + a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 2 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) - \tan\left(b x\right)^{2} - 4 \, \tan\left(b x\right) \tan\left(a\right) - \tan\left(a\right)^{2} + 2 \, \log\left({\left| b x + a \right|}\right) - \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 1}{4 \, {\left(b^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + b^{2} \tan\left(b x\right)^{2} + b^{2} \tan\left(a\right)^{2} + b^{2}\right)}}"," ",0,"-(x*cos(b*x + a)/b - sin(b*x + a)/b^2)*sin_integral(b*x + a) - 1/4*(a*imag_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2*tan(a)^2 - a*imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2*tan(a)^2 + 2*a*sin_integral(2*b*x + 2*a)*tan(b*x)^2*tan(a)^2 + 2*log(abs(b*x + a))*tan(b*x)^2*tan(a)^2 - real_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2*tan(a)^2 - real_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2*tan(a)^2 + a*imag_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2 - a*imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2 + 2*a*sin_integral(2*b*x + 2*a)*tan(b*x)^2 + a*imag_part(cos_integral(2*b*x + 2*a))*tan(a)^2 - a*imag_part(cos_integral(-2*b*x - 2*a))*tan(a)^2 + 2*a*sin_integral(2*b*x + 2*a)*tan(a)^2 + tan(b*x)^2*tan(a)^2 + 2*log(abs(b*x + a))*tan(b*x)^2 - real_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2 - real_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2 + 2*log(abs(b*x + a))*tan(a)^2 - real_part(cos_integral(2*b*x + 2*a))*tan(a)^2 - real_part(cos_integral(-2*b*x - 2*a))*tan(a)^2 + a*imag_part(cos_integral(2*b*x + 2*a)) - a*imag_part(cos_integral(-2*b*x - 2*a)) + 2*a*sin_integral(2*b*x + 2*a) - tan(b*x)^2 - 4*tan(b*x)*tan(a) - tan(a)^2 + 2*log(abs(b*x + a)) - real_part(cos_integral(2*b*x + 2*a)) - real_part(cos_integral(-2*b*x - 2*a)) + 1)/(b^2*tan(b*x)^2*tan(a)^2 + b^2*tan(b*x)^2 + b^2*tan(a)^2 + b^2)","C",0
57,1,57,0,0.227962," ","integrate(Si(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\frac{\cos\left(b x + a\right) \operatorname{Si}\left(b x + a\right)}{b} + \frac{\Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 2 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"-cos(b*x + a)*sin_integral(b*x + a)/b + 1/4*(imag_part(cos_integral(2*b*x + 2*a)) - imag_part(cos_integral(-2*b*x - 2*a)) + 2*sin_integral(2*b*x + 2*a))/b","C",0
58,0,0,0,0.000000," ","integrate(Si(b*x+a)*sin(b*x+a)/x,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x + a\right) \sin\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(Si(b*x + a)*sin(b*x + a)/x, x)","F",0
59,1,431,0,0.390831," ","integrate(x^2*cos(b*x+a)*Si(b*x+a),x, algorithm=""giac"")","{\left(\frac{2 \, x \cos\left(b x + a\right)}{b^{2}} + \frac{{\left(b^{2} x^{2} - 2\right)} \sin\left(b x + a\right)}{b^{3}}\right)} \operatorname{Si}\left(b x + a\right) - \frac{2 \, b^{2} x^{2} \tan\left(b x + a\right)^{2} - 4 \, a b x \tan\left(b x + a\right)^{2} + 4 \, a^{2} \log\left({\left| b x + a \right|}\right) \tan\left(b x + a\right)^{2} - 2 \, a^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} - 2 \, a^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} - 4 \, a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + 4 \, a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} - 8 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x + a\right)^{2} - 4 \, a b x + 4 \, a^{2} \log\left({\left| b x + a \right|}\right) - 2 \, a^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - 2 \, a^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) - 4 \, b x \tan\left(b x + a\right) - 8 \, \log\left({\left| b x + a \right|}\right) \tan\left(b x + a\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} - 4 \, a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) + 4 \, a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) - 8 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) + 4 \, a \tan\left(b x + a\right) + 5 \, \tan\left(b x + a\right)^{2} - 8 \, \log\left({\left| b x + a \right|}\right) + 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) + 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) - 5}{8 \, {\left(b^{3} \tan\left(b x + a\right)^{2} + b^{3}\right)}}"," ",0,"(2*x*cos(b*x + a)/b^2 + (b^2*x^2 - 2)*sin(b*x + a)/b^3)*sin_integral(b*x + a) - 1/8*(2*b^2*x^2*tan(b*x + a)^2 - 4*a*b*x*tan(b*x + a)^2 + 4*a^2*log(abs(b*x + a))*tan(b*x + a)^2 - 2*a^2*real_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 - 2*a^2*real_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 + 2*b^2*x^2 - 4*a*imag_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 + 4*a*imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 - 8*a*sin_integral(2*b*x + 2*a)*tan(b*x + a)^2 - 4*a*b*x + 4*a^2*log(abs(b*x + a)) - 2*a^2*real_part(cos_integral(2*b*x + 2*a)) - 2*a^2*real_part(cos_integral(-2*b*x - 2*a)) - 4*b*x*tan(b*x + a) - 8*log(abs(b*x + a))*tan(b*x + a)^2 + 4*real_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 + 4*real_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 - 4*a*imag_part(cos_integral(2*b*x + 2*a)) + 4*a*imag_part(cos_integral(-2*b*x - 2*a)) - 8*a*sin_integral(2*b*x + 2*a) + 4*a*tan(b*x + a) + 5*tan(b*x + a)^2 - 8*log(abs(b*x + a)) + 4*real_part(cos_integral(2*b*x + 2*a)) + 4*real_part(cos_integral(-2*b*x - 2*a)) - 5)/(b^3*tan(b*x + a)^2 + b^3)","C",0
60,1,528,0,0.258430," ","integrate(x*cos(b*x+a)*Si(b*x+a),x, algorithm=""giac"")","{\left(\frac{x \sin\left(b x + a\right)}{b} + \frac{\cos\left(b x + a\right)}{b^{2}}\right)} \operatorname{Si}\left(b x + a\right) - \frac{2 \, b x \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 2 \, a \log\left({\left| b x + a \right|}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 2 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 2 \, b x \tan\left(b x\right)^{2} - 2 \, a \log\left({\left| b x + a \right|}\right) \tan\left(b x\right)^{2} + a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} + a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} + 2 \, b x \tan\left(a\right)^{2} - 2 \, a \log\left({\left| b x + a \right|}\right) \tan\left(a\right)^{2} + a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(a\right)^{2} + a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(a\right)^{2} + \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} - \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} + 2 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x\right)^{2} + 2 \, \tan\left(b x\right)^{2} \tan\left(a\right) + \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(a\right)^{2} - \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(a\right)^{2} + 2 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(a\right)^{2} + 2 \, \tan\left(b x\right) \tan\left(a\right)^{2} + 2 \, b x - 2 \, a \log\left({\left| b x + a \right|}\right) + a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) + a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 2 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) - 2 \, \tan\left(b x\right) - 2 \, \tan\left(a\right)}{4 \, {\left(b^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + b^{2} \tan\left(b x\right)^{2} + b^{2} \tan\left(a\right)^{2} + b^{2}\right)}}"," ",0,"(x*sin(b*x + a)/b + cos(b*x + a)/b^2)*sin_integral(b*x + a) - 1/4*(2*b*x*tan(b*x)^2*tan(a)^2 - 2*a*log(abs(b*x + a))*tan(b*x)^2*tan(a)^2 + a*real_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2*tan(a)^2 + a*real_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2*tan(a)^2 + imag_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2*tan(a)^2 - imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2*tan(a)^2 + 2*sin_integral(2*b*x + 2*a)*tan(b*x)^2*tan(a)^2 + 2*b*x*tan(b*x)^2 - 2*a*log(abs(b*x + a))*tan(b*x)^2 + a*real_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2 + a*real_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2 + 2*b*x*tan(a)^2 - 2*a*log(abs(b*x + a))*tan(a)^2 + a*real_part(cos_integral(2*b*x + 2*a))*tan(a)^2 + a*real_part(cos_integral(-2*b*x - 2*a))*tan(a)^2 + imag_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2 - imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2 + 2*sin_integral(2*b*x + 2*a)*tan(b*x)^2 + 2*tan(b*x)^2*tan(a) + imag_part(cos_integral(2*b*x + 2*a))*tan(a)^2 - imag_part(cos_integral(-2*b*x - 2*a))*tan(a)^2 + 2*sin_integral(2*b*x + 2*a)*tan(a)^2 + 2*tan(b*x)*tan(a)^2 + 2*b*x - 2*a*log(abs(b*x + a)) + a*real_part(cos_integral(2*b*x + 2*a)) + a*real_part(cos_integral(-2*b*x - 2*a)) + imag_part(cos_integral(2*b*x + 2*a)) - imag_part(cos_integral(-2*b*x - 2*a)) + 2*sin_integral(2*b*x + 2*a) - 2*tan(b*x) - 2*tan(a))/(b^2*tan(b*x)^2*tan(a)^2 + b^2*tan(b*x)^2 + b^2*tan(a)^2 + b^2)","C",0
61,1,95,0,0.213405," ","integrate(cos(b*x+a)*Si(b*x+a),x, algorithm=""giac"")","\frac{\sin\left(b x + a\right) \operatorname{Si}\left(b x + a\right)}{b} + \frac{\cos\left(2 \, a\right)^{2} \operatorname{Ci}\left(2 \, b x + 2 \, a\right) + \cos\left(2 \, a\right)^{2} \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) + \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \sin\left(2 \, a\right)^{2} + \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \sin\left(2 \, a\right)^{2} - 2 \, \log\left(b x + a\right)}{4 \, b}"," ",0,"sin(b*x + a)*sin_integral(b*x + a)/b + 1/4*(cos(2*a)^2*cos_integral(2*b*x + 2*a) + cos(2*a)^2*cos_integral(-2*b*x - 2*a) + cos_integral(2*b*x + 2*a)*sin(2*a)^2 + cos_integral(-2*b*x - 2*a)*sin(2*a)^2 - 2*log(b*x + a))/b","B",0
62,0,0,0,0.000000," ","integrate(cos(b*x+a)*Si(b*x+a)/x,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(b x + a\right) \cos\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(Si(b*x + a)*cos(b*x + a)/x, x)","F",0
63,-1,0,0,0.000000," ","integrate(x*Si(d*x+c)*sin(b*x+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
64,1,9541,0,0.647683," ","integrate(Si(d*x+c)*sin(b*x+a),x, algorithm=""giac"")","\frac{{\left(\Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 8 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 8 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) - 8 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 8 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) + 8 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) - 8 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right) + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right)\right)} d}{4 \, {\left(b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d\right)}} - \frac{\cos\left(b x + a\right) \operatorname{Si}\left(d x + c\right)}{b}"," ",0,"1/4*(imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 4*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 4*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 8*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 4*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 8*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + 4*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 4*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 8*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 4*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + 4*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) - 8*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) - 4*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 4*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 8*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 4*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 8*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c) - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c) + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2 + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2 + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2 + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2 + 4*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d) - 4*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d) + 8*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d) - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*(b*c + c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*(b*c + c*d)/d)^2 - 4*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + 4*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) - 8*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c) + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c) - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c) - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c) - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d) - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d) + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c - c*d)/d) + imag_part(cos_integral(b*x + d*x + c + b*c/d)) - imag_part(cos_integral(b*x - d*x - c + b*c/d)) + imag_part(cos_integral(-b*x + d*x + c - b*c/d)) - imag_part(cos_integral(-b*x - d*x - c - b*c/d)) + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d) - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d))*d/(b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2 + b*d*tan(1/2*a - 1/2*c)^2 + b*d*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*(b*c - c*d)/d)^2 + b*d) - cos(b*x + a)*sin_integral(d*x + c)/b","C",0
65,0,0,0,0.000000," ","integrate(Si(d*x+c)*sin(b*x+a)/x,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(d x + c\right) \sin\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(Si(d*x + c)*sin(b*x + a)/x, x)","F",0
66,-1,0,0,0.000000," ","integrate(x*cos(b*x+a)*Si(d*x+c),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,1,9214,0,0.642279," ","integrate(cos(b*x+a)*Si(d*x+c),x, algorithm=""giac"")","\frac{{\left(\Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 4 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) + 4 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right)\right)} d}{4 \, {\left(b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d\right)}} + \frac{\sin\left(b x + a\right) \operatorname{Si}\left(d x + c\right)}{b}"," ",0,"1/4*(real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 4*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 4*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 4*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + 4*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 4*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 4*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) - 4*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) - 4*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 4*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 4*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c) - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c) + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c) - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2 + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2 - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2 - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2 + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2 + 4*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d) + 4*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d) - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2 - 4*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) - 4*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c) + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c) - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c) + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c) - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c) + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c) + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d) - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d) + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*(b*c + c*d)/d) - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c - c*d)/d) - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*(b*c - c*d)/d) + real_part(cos_integral(b*x + d*x + c + b*c/d)) - real_part(cos_integral(b*x - d*x - c + b*c/d)) - real_part(cos_integral(-b*x + d*x + c - b*c/d)) + real_part(cos_integral(-b*x - d*x - c - b*c/d)))*d/(b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2 + b*d*tan(1/2*a - 1/2*c)^2 + b*d*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*(b*c - c*d)/d)^2 + b*d) + sin(b*x + a)*sin_integral(d*x + c)/b","C",0
68,0,0,0,0.000000," ","integrate(cos(b*x+a)*Si(d*x+c)/x,x, algorithm=""giac"")","\int \frac{{\rm Si}\left(d x + c\right) \cos\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(Si(d*x + c)*cos(b*x + a)/x, x)","F",0
69,0,0,0,0.000000," ","integrate(x^m*Ci(b*x),x, algorithm=""giac"")","\int x^{m} {\rm Ci}\left(b x\right)\,{d x}"," ",0,"integrate(x^m*Ci(b*x), x)","F",0
70,1,49,0,0.516251," ","integrate(x^3*Ci(b*x),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \operatorname{Ci}\left(b x\right) - \frac{3 \, {\left(b^{2} x^{2} - 2\right)} \cos\left(b x\right)}{4 \, b^{4}} - \frac{{\left(b^{3} x^{3} - 6 \, b x\right)} \sin\left(b x\right)}{4 \, b^{4}}"," ",0,"1/4*x^4*cos_integral(b*x) - 3/4*(b^2*x^2 - 2)*cos(b*x)/b^4 - 1/4*(b^3*x^3 - 6*b*x)*sin(b*x)/b^4","A",0
71,1,38,0,0.166914," ","integrate(x^2*Ci(b*x),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \operatorname{Ci}\left(b x\right) - \frac{2 \, x \cos\left(b x\right)}{3 \, b^{2}} - \frac{{\left(b^{2} x^{2} - 2\right)} \sin\left(b x\right)}{3 \, b^{3}}"," ",0,"1/3*x^3*cos_integral(b*x) - 2/3*x*cos(b*x)/b^2 - 1/3*(b^2*x^2 - 2)*sin(b*x)/b^3","A",0
72,1,29,0,0.174695," ","integrate(x*Ci(b*x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \operatorname{Ci}\left(b x\right) - \frac{x \sin\left(b x\right)}{2 \, b} - \frac{\cos\left(b x\right)}{2 \, b^{2}}"," ",0,"1/2*x^2*cos_integral(b*x) - 1/2*x*sin(b*x)/b - 1/2*cos(b*x)/b^2","A",0
73,1,16,0,0.233614," ","integrate(Ci(b*x),x, algorithm=""giac"")","x \operatorname{Ci}\left(b x\right) - \frac{\sin\left(b x\right)}{b}"," ",0,"x*cos_integral(b*x) - sin(b*x)/b","A",0
74,0,0,0,0.000000," ","integrate(Ci(b*x)/x,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x\right)}{x}\,{d x}"," ",0,"integrate(Ci(b*x)/x, x)","F",0
75,1,109,0,0.511630," ","integrate(Ci(b*x)/x^2,x, algorithm=""giac"")","-\frac{b x \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b x \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, b x\right)^{2} + b x \Im \left( \operatorname{Ci}\left(b x\right) \right) - b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) + 2 \, b x \operatorname{Si}\left(b x\right) - 2 \, \tan\left(\frac{1}{2} \, b x\right)^{2} + 2}{2 \, {\left(x \tan\left(\frac{1}{2} \, b x\right)^{2} + x\right)}} - \frac{\operatorname{Ci}\left(b x\right)}{x}"," ",0,"-1/2*(b*x*imag_part(cos_integral(b*x))*tan(1/2*b*x)^2 - b*x*imag_part(cos_integral(-b*x))*tan(1/2*b*x)^2 + 2*b*x*sin_integral(b*x)*tan(1/2*b*x)^2 + b*x*imag_part(cos_integral(b*x)) - b*x*imag_part(cos_integral(-b*x)) + 2*b*x*sin_integral(b*x) - 2*tan(1/2*b*x)^2 + 2)/(x*tan(1/2*b*x)^2 + x) - cos_integral(b*x)/x","C",0
76,1,53,0,0.374580," ","integrate(Ci(b*x)/x^3,x, algorithm=""giac"")","-\frac{b^{2} x^{2} \operatorname{Ci}\left(b x\right) + b^{2} x^{2} \operatorname{Ci}\left(-b x\right) - 2 \, b x \sin\left(b x\right) + 2 \, \cos\left(b x\right)}{8 \, x^{2}} - \frac{\operatorname{Ci}\left(b x\right)}{2 \, x^{2}}"," ",0,"-1/8*(b^2*x^2*cos_integral(b*x) + b^2*x^2*cos_integral(-b*x) - 2*b*x*sin(b*x) + 2*cos(b*x))/x^2 - 1/2*cos_integral(b*x)/x^2","A",0
77,0,0,0,0.000000," ","integrate(x^m*Ci(b*x)^2,x, algorithm=""giac"")","\int x^{m} {\rm Ci}\left(b x\right)^{2}\,{d x}"," ",0,"integrate(x^m*Ci(b*x)^2, x)","F",0
78,1,117,0,0.240863," ","integrate(x^3*Ci(b*x)^2,x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \operatorname{Ci}\left(b x\right)^{2} - \frac{1}{2} \, {\left(\frac{3 \, {\left(b^{2} x^{2} - 2\right)} \cos\left(b x\right)}{b^{4}} + \frac{{\left(b^{3} x^{3} - 6 \, b x\right)} \sin\left(b x\right)}{b^{4}}\right)} \operatorname{Ci}\left(b x\right) - \frac{b^{2} x^{2} \cos\left(2 \, b x\right) - 3 \, b^{2} x^{2} - 4 \, b x \sin\left(2 \, b x\right) - 8 \, \cos\left(2 \, b x\right) + 6 \, \operatorname{Ci}\left(2 \, b x\right) + 6 \, \operatorname{Ci}\left(-2 \, b x\right) + 12 \, \log\left(x\right)}{8 \, b^{4}}"," ",0,"1/4*x^4*cos_integral(b*x)^2 - 1/2*(3*(b^2*x^2 - 2)*cos(b*x)/b^4 + (b^3*x^3 - 6*b*x)*sin(b*x)/b^4)*cos_integral(b*x) - 1/8*(b^2*x^2*cos(2*b*x) - 3*b^2*x^2 - 4*b*x*sin(2*b*x) - 8*cos(2*b*x) + 6*cos_integral(2*b*x) + 6*cos_integral(-2*b*x) + 12*log(x))/b^4","A",0
79,1,149,0,0.248677," ","integrate(x^2*Ci(b*x)^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \operatorname{Ci}\left(b x\right)^{2} - \frac{2}{3} \, {\left(\frac{2 \, x \cos\left(b x\right)}{b^{2}} + \frac{{\left(b^{2} x^{2} - 2\right)} \sin\left(b x\right)}{b^{3}}\right)} \operatorname{Ci}\left(b x\right) + \frac{5 \, b x \tan\left(b x\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(b x\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(b x\right)^{2} - 4 \, \operatorname{Si}\left(2 \, b x\right) \tan\left(b x\right)^{2} + 3 \, b x - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) - 4 \, \operatorname{Si}\left(2 \, b x\right) + 5 \, \tan\left(b x\right)}{6 \, {\left(b^{3} \tan\left(b x\right)^{2} + b^{3}\right)}}"," ",0,"1/3*x^3*cos_integral(b*x)^2 - 2/3*(2*x*cos(b*x)/b^2 + (b^2*x^2 - 2)*sin(b*x)/b^3)*cos_integral(b*x) + 1/6*(5*b*x*tan(b*x)^2 - 2*imag_part(cos_integral(2*b*x))*tan(b*x)^2 + 2*imag_part(cos_integral(-2*b*x))*tan(b*x)^2 - 4*sin_integral(2*b*x)*tan(b*x)^2 + 3*b*x - 2*imag_part(cos_integral(2*b*x)) + 2*imag_part(cos_integral(-2*b*x)) - 4*sin_integral(2*b*x) + 5*tan(b*x))/(b^3*tan(b*x)^2 + b^3)","C",0
80,1,65,0,0.223577," ","integrate(x*Ci(b*x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \operatorname{Ci}\left(b x\right)^{2} - {\left(\frac{x \sin\left(b x\right)}{b} + \frac{\cos\left(b x\right)}{b^{2}}\right)} \operatorname{Ci}\left(b x\right) - \frac{\cos\left(2 \, b x\right) - \operatorname{Ci}\left(2 \, b x\right) - \operatorname{Ci}\left(-2 \, b x\right) - 2 \, \log\left(x\right)}{4 \, b^{2}}"," ",0,"1/2*x^2*cos_integral(b*x)^2 - (x*sin(b*x)/b + cos(b*x)/b^2)*cos_integral(b*x) - 1/4*(cos(2*b*x) - cos_integral(2*b*x) - cos_integral(-2*b*x) - 2*log(x))/b^2","A",0
81,1,49,0,0.208594," ","integrate(Ci(b*x)^2,x, algorithm=""giac"")","x \operatorname{Ci}\left(b x\right)^{2} - \frac{2 \, \operatorname{Ci}\left(b x\right) \sin\left(b x\right)}{b} + \frac{\Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) - \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) + 2 \, \operatorname{Si}\left(2 \, b x\right)}{2 \, b}"," ",0,"x*cos_integral(b*x)^2 - 2*cos_integral(b*x)*sin(b*x)/b + 1/2*(imag_part(cos_integral(2*b*x)) - imag_part(cos_integral(-2*b*x)) + 2*sin_integral(2*b*x))/b","C",0
82,0,0,0,0.000000," ","integrate(Ci(b*x)^2/x,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x\right)^{2}}{x}\,{d x}"," ",0,"integrate(Ci(b*x)^2/x, x)","F",0
83,0,0,0,0.000000," ","integrate(Ci(b*x)^2/x^2,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(Ci(b*x)^2/x^2, x)","F",0
84,0,0,0,0.000000," ","integrate(Ci(b*x)^2/x^3,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(Ci(b*x)^2/x^3, x)","F",0
85,0,0,0,0.000000," ","integrate(x^m*Ci(b*x+a),x, algorithm=""giac"")","\int x^{m} {\rm Ci}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*Ci(b*x + a), x)","F",0
86,1,196,0,0.507696," ","integrate(x^3*Ci(b*x+a),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \operatorname{Ci}\left(b x + a\right) - \frac{a^{4} \cos\left(a\right)^{2} \operatorname{Ci}\left(b x + a\right) + a^{4} \cos\left(a\right)^{2} \operatorname{Ci}\left(-b x - a\right) + 2 \, b^{3} x^{3} \sin\left(b x + a\right) + a^{4} \operatorname{Ci}\left(b x + a\right) \sin\left(a\right)^{2} + a^{4} \operatorname{Ci}\left(-b x - a\right) \sin\left(a\right)^{2} - 2 \, a b^{2} x^{2} \sin\left(b x + a\right) + 6 \, b^{2} x^{2} \cos\left(b x + a\right) + 2 \, a^{2} b x \sin\left(b x + a\right) - 4 \, a b x \cos\left(b x + a\right) - 2 \, a^{3} \sin\left(b x + a\right) + 2 \, a^{2} \cos\left(b x + a\right) - 12 \, b x \sin\left(b x + a\right) + 4 \, a \sin\left(b x + a\right) - 12 \, \cos\left(b x + a\right)}{8 \, b^{4}}"," ",0,"1/4*x^4*cos_integral(b*x + a) - 1/8*(a^4*cos(a)^2*cos_integral(b*x + a) + a^4*cos(a)^2*cos_integral(-b*x - a) + 2*b^3*x^3*sin(b*x + a) + a^4*cos_integral(b*x + a)*sin(a)^2 + a^4*cos_integral(-b*x - a)*sin(a)^2 - 2*a*b^2*x^2*sin(b*x + a) + 6*b^2*x^2*cos(b*x + a) + 2*a^2*b*x*sin(b*x + a) - 4*a*b*x*cos(b*x + a) - 2*a^3*sin(b*x + a) + 2*a^2*cos(b*x + a) - 12*b*x*sin(b*x + a) + 4*a*sin(b*x + a) - 12*cos(b*x + a))/b^4","A",0
87,1,143,0,0.218906," ","integrate(x^2*Ci(b*x+a),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \operatorname{Ci}\left(b x + a\right) + \frac{a^{3} \cos\left(a\right)^{2} \operatorname{Ci}\left(b x + a\right) + a^{3} \cos\left(a\right)^{2} \operatorname{Ci}\left(-b x - a\right) + a^{3} \operatorname{Ci}\left(b x + a\right) \sin\left(a\right)^{2} + a^{3} \operatorname{Ci}\left(-b x - a\right) \sin\left(a\right)^{2} - 2 \, b^{2} x^{2} \sin\left(b x + a\right) + 2 \, a b x \sin\left(b x + a\right) - 4 \, b x \cos\left(b x + a\right) - 2 \, a^{2} \sin\left(b x + a\right) + 2 \, a \cos\left(b x + a\right) + 4 \, \sin\left(b x + a\right)}{6 \, b^{3}}"," ",0,"1/3*x^3*cos_integral(b*x + a) + 1/6*(a^3*cos(a)^2*cos_integral(b*x + a) + a^3*cos(a)^2*cos_integral(-b*x - a) + a^3*cos_integral(b*x + a)*sin(a)^2 + a^3*cos_integral(-b*x - a)*sin(a)^2 - 2*b^2*x^2*sin(b*x + a) + 2*a*b*x*sin(b*x + a) - 4*b*x*cos(b*x + a) - 2*a^2*sin(b*x + a) + 2*a*cos(b*x + a) + 4*sin(b*x + a))/b^3","A",0
88,1,107,0,0.211688," ","integrate(x*Ci(b*x+a),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \operatorname{Ci}\left(b x + a\right) - \frac{a^{2} \cos\left(a\right)^{2} \operatorname{Ci}\left(b x + a\right) + a^{2} \cos\left(a\right)^{2} \operatorname{Ci}\left(-b x - a\right) + a^{2} \operatorname{Ci}\left(b x + a\right) \sin\left(a\right)^{2} + a^{2} \operatorname{Ci}\left(-b x - a\right) \sin\left(a\right)^{2} + 2 \, b x \sin\left(b x + a\right) - 2 \, a \sin\left(b x + a\right) + 2 \, \cos\left(b x + a\right)}{4 \, b^{2}}"," ",0,"1/2*x^2*cos_integral(b*x + a) - 1/4*(a^2*cos(a)^2*cos_integral(b*x + a) + a^2*cos(a)^2*cos_integral(-b*x - a) + a^2*cos_integral(b*x + a)*sin(a)^2 + a^2*cos_integral(-b*x - a)*sin(a)^2 + 2*b*x*sin(b*x + a) - 2*a*sin(b*x + a) + 2*cos(b*x + a))/b^2","A",0
89,1,85,0,0.210304," ","integrate(Ci(b*x+a),x, algorithm=""giac"")","x \operatorname{Ci}\left(b x + a\right) + \frac{a \cos\left(a\right)^{2} \operatorname{Ci}\left(b x + a\right) + a \cos\left(a\right)^{2} \operatorname{Ci}\left(-b x - a\right) + a \operatorname{Ci}\left(b x + a\right) \sin\left(a\right)^{2} + a \operatorname{Ci}\left(-b x - a\right) \sin\left(a\right)^{2} - 2 \, \cos\left(a\right) \sin\left(b x\right) - 2 \, \cos\left(b x\right) \sin\left(a\right)}{2 \, b}"," ",0,"x*cos_integral(b*x + a) + 1/2*(a*cos(a)^2*cos_integral(b*x + a) + a*cos(a)^2*cos_integral(-b*x - a) + a*cos_integral(b*x + a)*sin(a)^2 + a*cos_integral(-b*x - a)*sin(a)^2 - 2*cos(a)*sin(b*x) - 2*cos(b*x)*sin(a))/b","B",0
90,0,0,0,0.000000," ","integrate(Ci(b*x+a)/x,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(Ci(b*x + a)/x, x)","F",0
91,1,149,0,0.174793," ","integrate(Ci(b*x+a)/x^2,x, algorithm=""giac"")","-\frac{{\left(\Re \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right) + 4 \, \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, a\right) + \Re \left( \operatorname{Ci}\left(b x + a\right) \right) - \Re \left( \operatorname{Ci}\left(b x\right) \right) + \Re \left( \operatorname{Ci}\left(-b x - a\right) \right) - \Re \left( \operatorname{Ci}\left(-b x\right) \right)\right)} b}{2 \, {\left(a \tan\left(\frac{1}{2} \, a\right)^{2} + a\right)}} - \frac{\operatorname{Ci}\left(b x + a\right)}{x}"," ",0,"-1/2*(real_part(cos_integral(b*x + a))*tan(1/2*a)^2 + real_part(cos_integral(b*x))*tan(1/2*a)^2 + real_part(cos_integral(-b*x - a))*tan(1/2*a)^2 + real_part(cos_integral(-b*x))*tan(1/2*a)^2 + 2*imag_part(cos_integral(b*x))*tan(1/2*a) - 2*imag_part(cos_integral(-b*x))*tan(1/2*a) + 4*sin_integral(b*x)*tan(1/2*a) + real_part(cos_integral(b*x + a)) - real_part(cos_integral(b*x)) + real_part(cos_integral(-b*x - a)) - real_part(cos_integral(-b*x)))*b/(a*tan(1/2*a)^2 + a) - cos_integral(b*x + a)/x","C",0
92,1,748,0,0.553678," ","integrate(Ci(b*x+a)/x^3,x, algorithm=""giac"")","\frac{{\left(a b x \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - a b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, a b x \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, a b x \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 2 \, a b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + b x \Re \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b x \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b x \Re \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - a b x \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} + a b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - 2 \, a b x \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, b x\right)^{2} + 2 \, b x \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 2 \, b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 4 \, b x \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right) + a b x \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - a b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, a b x \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + b x \Re \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - b x \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} + b x \Re \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, b x\right)^{2} - 2 \, a b x \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - 2 \, a b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right) + b x \Re \left( \operatorname{Ci}\left(b x + a\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + b x \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + b x \Re \left( \operatorname{Ci}\left(-b x - a\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, a \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - a b x \Im \left( \operatorname{Ci}\left(b x\right) \right) + a b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) - 2 \, a b x \operatorname{Si}\left(b x\right) + 2 \, b x \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - 2 \, b x \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right) + 4 \, b x \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, a\right) + b x \Re \left( \operatorname{Ci}\left(b x + a\right) \right) - b x \Re \left( \operatorname{Ci}\left(b x\right) \right) + b x \Re \left( \operatorname{Ci}\left(-b x - a\right) \right) - b x \Re \left( \operatorname{Ci}\left(-b x\right) \right) + 2 \, a \tan\left(\frac{1}{2} \, b x\right)^{2} + 8 \, a \tan\left(\frac{1}{2} \, b x\right) \tan\left(\frac{1}{2} \, a\right) + 2 \, a \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, a\right)} b}{4 \, {\left(a^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + a^{2} x \tan\left(\frac{1}{2} \, b x\right)^{2} + a^{2} x \tan\left(\frac{1}{2} \, a\right)^{2} + a^{2} x\right)}} - \frac{\operatorname{Ci}\left(b x + a\right)}{2 \, x^{2}}"," ",0,"1/4*(a*b*x*imag_part(cos_integral(b*x))*tan(1/2*b*x)^2*tan(1/2*a)^2 - a*b*x*imag_part(cos_integral(-b*x))*tan(1/2*b*x)^2*tan(1/2*a)^2 + 2*a*b*x*sin_integral(b*x)*tan(1/2*b*x)^2*tan(1/2*a)^2 - 2*a*b*x*real_part(cos_integral(b*x))*tan(1/2*b*x)^2*tan(1/2*a) - 2*a*b*x*real_part(cos_integral(-b*x))*tan(1/2*b*x)^2*tan(1/2*a) + b*x*real_part(cos_integral(b*x + a))*tan(1/2*b*x)^2*tan(1/2*a)^2 + b*x*real_part(cos_integral(b*x))*tan(1/2*b*x)^2*tan(1/2*a)^2 + b*x*real_part(cos_integral(-b*x - a))*tan(1/2*b*x)^2*tan(1/2*a)^2 + b*x*real_part(cos_integral(-b*x))*tan(1/2*b*x)^2*tan(1/2*a)^2 - a*b*x*imag_part(cos_integral(b*x))*tan(1/2*b*x)^2 + a*b*x*imag_part(cos_integral(-b*x))*tan(1/2*b*x)^2 - 2*a*b*x*sin_integral(b*x)*tan(1/2*b*x)^2 + 2*b*x*imag_part(cos_integral(b*x))*tan(1/2*b*x)^2*tan(1/2*a) - 2*b*x*imag_part(cos_integral(-b*x))*tan(1/2*b*x)^2*tan(1/2*a) + 4*b*x*sin_integral(b*x)*tan(1/2*b*x)^2*tan(1/2*a) + a*b*x*imag_part(cos_integral(b*x))*tan(1/2*a)^2 - a*b*x*imag_part(cos_integral(-b*x))*tan(1/2*a)^2 + 2*a*b*x*sin_integral(b*x)*tan(1/2*a)^2 + b*x*real_part(cos_integral(b*x + a))*tan(1/2*b*x)^2 - b*x*real_part(cos_integral(b*x))*tan(1/2*b*x)^2 + b*x*real_part(cos_integral(-b*x - a))*tan(1/2*b*x)^2 - b*x*real_part(cos_integral(-b*x))*tan(1/2*b*x)^2 - 2*a*b*x*real_part(cos_integral(b*x))*tan(1/2*a) - 2*a*b*x*real_part(cos_integral(-b*x))*tan(1/2*a) + b*x*real_part(cos_integral(b*x + a))*tan(1/2*a)^2 + b*x*real_part(cos_integral(b*x))*tan(1/2*a)^2 + b*x*real_part(cos_integral(-b*x - a))*tan(1/2*a)^2 + b*x*real_part(cos_integral(-b*x))*tan(1/2*a)^2 - 2*a*tan(1/2*b*x)^2*tan(1/2*a)^2 - a*b*x*imag_part(cos_integral(b*x)) + a*b*x*imag_part(cos_integral(-b*x)) - 2*a*b*x*sin_integral(b*x) + 2*b*x*imag_part(cos_integral(b*x))*tan(1/2*a) - 2*b*x*imag_part(cos_integral(-b*x))*tan(1/2*a) + 4*b*x*sin_integral(b*x)*tan(1/2*a) + b*x*real_part(cos_integral(b*x + a)) - b*x*real_part(cos_integral(b*x)) + b*x*real_part(cos_integral(-b*x - a)) - b*x*real_part(cos_integral(-b*x)) + 2*a*tan(1/2*b*x)^2 + 8*a*tan(1/2*b*x)*tan(1/2*a) + 2*a*tan(1/2*a)^2 - 2*a)*b/(a^2*x*tan(1/2*b*x)^2*tan(1/2*a)^2 + a^2*x*tan(1/2*b*x)^2 + a^2*x*tan(1/2*a)^2 + a^2*x) - 1/2*cos_integral(b*x + a)/x^2","C",0
93,0,0,0,0.000000," ","integrate(x^m*Ci(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} {\rm Ci}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*Ci(b*x + a)^2, x)","F",0
94,0,0,0,0.000000," ","integrate(x^2*Ci(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} {\rm Ci}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*Ci(b*x + a)^2, x)","F",0
95,0,0,0,0.000000," ","integrate(x*Ci(b*x+a)^2,x, algorithm=""giac"")","\int x {\rm Ci}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x*Ci(b*x + a)^2, x)","F",0
96,0,0,0,0.000000," ","integrate(Ci(b*x+a)^2,x, algorithm=""giac"")","\int {\rm Ci}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(Ci(b*x + a)^2, x)","F",0
97,0,0,0,0.000000," ","integrate(Ci(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(Ci(b*x + a)^2/x, x)","F",0
98,0,0,0,0.000000," ","integrate(Ci(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(Ci(b*x + a)^2/x^2, x)","F",0
99,0,0,0,0.000000," ","integrate(Ci(b*x+a)^2/x^3,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x + a\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(Ci(b*x + a)^2/x^3, x)","F",0
100,-1,0,0,0.000000," ","integrate(x^2*Ci(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate(x*Ci(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,-1,0,0,0.000000," ","integrate(Ci(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
103,1,61,0,1.239781," ","integrate(Ci(d*(a+b*log(c*x^n)))/x,x, algorithm=""giac"")","\frac{{\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)} \operatorname{Ci}\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right) - \sin\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)}{b d n}"," ",0,"((b*d*n*log(x) + b*d*log(c) + a*d)*cos_integral(b*d*n*log(x) + b*d*log(c) + a*d) - sin(b*d*n*log(x) + b*d*log(c) + a*d))/(b*d*n)","A",0
104,-1,0,0,0.000000," ","integrate(Ci(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
105,-1,0,0,0.000000," ","integrate(Ci(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
106,-1,0,0,0.000000," ","integrate((e*x)^m*Ci(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
107,0,0,0,0.000000," ","integrate(Ci(b*x)*sin(b*x)/x^3,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x\right) \sin\left(b x\right)}{x^{3}}\,{d x}"," ",0,"integrate(Ci(b*x)*sin(b*x)/x^3, x)","F",0
108,0,0,0,0.000000," ","integrate(Ci(b*x)*sin(b*x)/x^2,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x\right) \sin\left(b x\right)}{x^{2}}\,{d x}"," ",0,"integrate(Ci(b*x)*sin(b*x)/x^2, x)","F",0
109,0,0,0,0.000000," ","integrate(Ci(b*x)*sin(b*x)/x,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x\right) \sin\left(b x\right)}{x}\,{d x}"," ",0,"integrate(Ci(b*x)*sin(b*x)/x, x)","F",0
110,1,34,0,0.224329," ","integrate(Ci(b*x)*sin(b*x),x, algorithm=""giac"")","-\frac{\cos\left(b x\right) \operatorname{Ci}\left(b x\right)}{b} + \frac{\operatorname{Ci}\left(2 \, b x\right) + \operatorname{Ci}\left(-2 \, b x\right) + 2 \, \log\left(x\right)}{4 \, b}"," ",0,"-cos(b*x)*cos_integral(b*x)/b + 1/4*(cos_integral(2*b*x) + cos_integral(-2*b*x) + 2*log(x))/b","A",0
111,1,126,0,0.334955," ","integrate(x*Ci(b*x)*sin(b*x),x, algorithm=""giac"")","-{\left(\frac{x \cos\left(b x\right)}{b} - \frac{\sin\left(b x\right)}{b^{2}}\right)} \operatorname{Ci}\left(b x\right) + \frac{2 \, b x \tan\left(b x\right)^{2} - \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(b x\right)^{2} + \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(b x\right)^{2} - 2 \, \operatorname{Si}\left(2 \, b x\right) \tan\left(b x\right)^{2} + 2 \, b x - \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) + \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) - 2 \, \operatorname{Si}\left(2 \, b x\right) + 2 \, \tan\left(b x\right)}{4 \, {\left(b^{2} \tan\left(b x\right)^{2} + b^{2}\right)}}"," ",0,"-(x*cos(b*x)/b - sin(b*x)/b^2)*cos_integral(b*x) + 1/4*(2*b*x*tan(b*x)^2 - imag_part(cos_integral(2*b*x))*tan(b*x)^2 + imag_part(cos_integral(-2*b*x))*tan(b*x)^2 - 2*sin_integral(2*b*x)*tan(b*x)^2 + 2*b*x - imag_part(cos_integral(2*b*x)) + imag_part(cos_integral(-2*b*x)) - 2*sin_integral(2*b*x) + 2*tan(b*x))/(b^2*tan(b*x)^2 + b^2)","C",0
112,1,83,0,0.843569," ","integrate(x^2*Ci(b*x)*sin(b*x),x, algorithm=""giac"")","{\left(\frac{2 \, x \sin\left(b x\right)}{b^{2}} - \frac{{\left(b^{2} x^{2} - 2\right)} \cos\left(b x\right)}{b^{3}}\right)} \operatorname{Ci}\left(b x\right) + \frac{2 \, b^{2} x^{2} + 2 \, b x \sin\left(2 \, b x\right) + 5 \, \cos\left(2 \, b x\right) - 4 \, \operatorname{Ci}\left(2 \, b x\right) - 4 \, \operatorname{Ci}\left(-2 \, b x\right) - 8 \, \log\left(x\right)}{8 \, b^{3}}"," ",0,"(2*x*sin(b*x)/b^2 - (b^2*x^2 - 2)*cos(b*x)/b^3)*cos_integral(b*x) + 1/8*(2*b^2*x^2 + 2*b*x*sin(2*b*x) + 5*cos(2*b*x) - 4*cos_integral(2*b*x) - 4*cos_integral(-2*b*x) - 8*log(x))/b^3","A",0
113,1,181,0,0.289954," ","integrate(x^3*Ci(b*x)*sin(b*x),x, algorithm=""giac"")","-{\left(\frac{{\left(b^{3} x^{3} - 6 \, b x\right)} \cos\left(b x\right)}{b^{4}} - \frac{3 \, {\left(b^{2} x^{2} - 2\right)} \sin\left(b x\right)}{b^{4}}\right)} \operatorname{Ci}\left(b x\right) + \frac{b^{3} x^{3} \tan\left(b x\right)^{2} + b^{3} x^{3} + 3 \, b^{2} x^{2} \tan\left(b x\right) - 24 \, b x \tan\left(b x\right)^{2} + 9 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(b x\right)^{2} - 9 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(b x\right)^{2} + 18 \, \operatorname{Si}\left(2 \, b x\right) \tan\left(b x\right)^{2} - 12 \, b x + 9 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) - 9 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) + 18 \, \operatorname{Si}\left(2 \, b x\right) - 24 \, \tan\left(b x\right)}{6 \, {\left(b^{4} \tan\left(b x\right)^{2} + b^{4}\right)}}"," ",0,"-((b^3*x^3 - 6*b*x)*cos(b*x)/b^4 - 3*(b^2*x^2 - 2)*sin(b*x)/b^4)*cos_integral(b*x) + 1/6*(b^3*x^3*tan(b*x)^2 + b^3*x^3 + 3*b^2*x^2*tan(b*x) - 24*b*x*tan(b*x)^2 + 9*imag_part(cos_integral(2*b*x))*tan(b*x)^2 - 9*imag_part(cos_integral(-2*b*x))*tan(b*x)^2 + 18*sin_integral(2*b*x)*tan(b*x)^2 - 12*b*x + 9*imag_part(cos_integral(2*b*x)) - 9*imag_part(cos_integral(-2*b*x)) + 18*sin_integral(2*b*x) - 24*tan(b*x))/(b^4*tan(b*x)^2 + b^4)","C",0
114,0,0,0,0.000000," ","integrate(Ci(b*x)*cos(b*x)/x^3,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x\right) \cos\left(b x\right)}{x^{3}}\,{d x}"," ",0,"integrate(Ci(b*x)*cos(b*x)/x^3, x)","F",0
115,0,0,0,0.000000," ","integrate(Ci(b*x)*cos(b*x)/x^2,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x\right) \cos\left(b x\right)}{x^{2}}\,{d x}"," ",0,"integrate(Ci(b*x)*cos(b*x)/x^2, x)","F",0
116,0,0,0,0.000000," ","integrate(Ci(b*x)*cos(b*x)/x,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x\right) \cos\left(b x\right)}{x}\,{d x}"," ",0,"integrate(Ci(b*x)*cos(b*x)/x, x)","F",0
117,1,40,0,0.261336," ","integrate(Ci(b*x)*cos(b*x),x, algorithm=""giac"")","\frac{\operatorname{Ci}\left(b x\right) \sin\left(b x\right)}{b} - \frac{\Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) - \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) + 2 \, \operatorname{Si}\left(2 \, b x\right)}{4 \, b}"," ",0,"cos_integral(b*x)*sin(b*x)/b - 1/4*(imag_part(cos_integral(2*b*x)) - imag_part(cos_integral(-2*b*x)) + 2*sin_integral(2*b*x))/b","C",0
118,1,53,0,0.284307," ","integrate(x*Ci(b*x)*cos(b*x),x, algorithm=""giac"")","{\left(\frac{x \sin\left(b x\right)}{b} + \frac{\cos\left(b x\right)}{b^{2}}\right)} \operatorname{Ci}\left(b x\right) + \frac{\cos\left(2 \, b x\right) - \operatorname{Ci}\left(2 \, b x\right) - \operatorname{Ci}\left(-2 \, b x\right) - 2 \, \log\left(x\right)}{4 \, b^{2}}"," ",0,"(x*sin(b*x)/b + cos(b*x)/b^2)*cos_integral(b*x) + 1/4*(cos(2*b*x) - cos_integral(2*b*x) - cos_integral(-2*b*x) - 2*log(x))/b^2","A",0
119,1,137,0,2.831940," ","integrate(x^2*Ci(b*x)*cos(b*x),x, algorithm=""giac"")","{\left(\frac{2 \, x \cos\left(b x\right)}{b^{2}} + \frac{{\left(b^{2} x^{2} - 2\right)} \sin\left(b x\right)}{b^{3}}\right)} \operatorname{Ci}\left(b x\right) - \frac{5 \, b x \tan\left(b x\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(b x\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(b x\right)^{2} - 4 \, \operatorname{Si}\left(2 \, b x\right) \tan\left(b x\right)^{2} + 3 \, b x - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) - 4 \, \operatorname{Si}\left(2 \, b x\right) + 5 \, \tan\left(b x\right)}{4 \, {\left(b^{3} \tan\left(b x\right)^{2} + b^{3}\right)}}"," ",0,"(2*x*cos(b*x)/b^2 + (b^2*x^2 - 2)*sin(b*x)/b^3)*cos_integral(b*x) - 1/4*(5*b*x*tan(b*x)^2 - 2*imag_part(cos_integral(2*b*x))*tan(b*x)^2 + 2*imag_part(cos_integral(-2*b*x))*tan(b*x)^2 - 4*sin_integral(2*b*x)*tan(b*x)^2 + 3*b*x - 2*imag_part(cos_integral(2*b*x)) + 2*imag_part(cos_integral(-2*b*x)) - 4*sin_integral(2*b*x) + 5*tan(b*x))/(b^3*tan(b*x)^2 + b^3)","C",0
120,1,105,0,2.315607," ","integrate(x^3*Ci(b*x)*cos(b*x),x, algorithm=""giac"")","{\left(\frac{3 \, {\left(b^{2} x^{2} - 2\right)} \cos\left(b x\right)}{b^{4}} + \frac{{\left(b^{3} x^{3} - 6 \, b x\right)} \sin\left(b x\right)}{b^{4}}\right)} \operatorname{Ci}\left(b x\right) + \frac{b^{2} x^{2} \cos\left(2 \, b x\right) - 3 \, b^{2} x^{2} - 4 \, b x \sin\left(2 \, b x\right) - 8 \, \cos\left(2 \, b x\right) + 6 \, \operatorname{Ci}\left(2 \, b x\right) + 6 \, \operatorname{Ci}\left(-2 \, b x\right) + 12 \, \log\left(x\right)}{4 \, b^{4}}"," ",0,"(3*(b^2*x^2 - 2)*cos(b*x)/b^4 + (b^3*x^3 - 6*b*x)*sin(b*x)/b^4)*cos_integral(b*x) + 1/4*(b^2*x^2*cos(2*b*x) - 3*b^2*x^2 - 4*b*x*sin(2*b*x) - 8*cos(2*b*x) + 6*cos_integral(2*b*x) + 6*cos_integral(-2*b*x) + 12*log(x))/b^4","A",0
121,1,23,0,0.197296," ","integrate(Ci(2*x)*sin(5*x),x, algorithm=""giac"")","-\frac{1}{5} \, \cos\left(5 \, x\right) \operatorname{Ci}\left(2 \, x\right) + \frac{1}{10} \, \operatorname{Ci}\left(7 \, x\right) + \frac{1}{10} \, \operatorname{Ci}\left(3 \, x\right)"," ",0,"-1/5*cos(5*x)*cos_integral(2*x) + 1/10*cos_integral(7*x) + 1/10*cos_integral(3*x)","A",0
122,1,23,0,0.180191," ","integrate(Ci(2*x)*cos(5*x),x, algorithm=""giac"")","\frac{1}{5} \, \operatorname{Ci}\left(2 \, x\right) \sin\left(5 \, x\right) - \frac{1}{10} \, \operatorname{Si}\left(7 \, x\right) - \frac{1}{10} \, \operatorname{Si}\left(3 \, x\right)"," ",0,"1/5*cos_integral(2*x)*sin(5*x) - 1/10*sin_integral(7*x) - 1/10*sin_integral(3*x)","A",0
123,1,432,0,0.229948," ","integrate(x^2*Ci(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","{\left(\frac{2 \, x \sin\left(b x + a\right)}{b^{2}} - \frac{{\left(b^{2} x^{2} - 2\right)} \cos\left(b x + a\right)}{b^{3}}\right)} \operatorname{Ci}\left(b x + a\right) + \frac{2 \, b^{2} x^{2} \tan\left(b x + a\right)^{2} - 4 \, a b x \tan\left(b x + a\right)^{2} + 4 \, a^{2} \log\left({\left| b x + a \right|}\right) \tan\left(b x + a\right)^{2} + 2 \, a^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + 2 \, a^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + 2 \, b^{2} x^{2} + 4 \, a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} - 4 \, a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + 8 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x + a\right)^{2} - 4 \, a b x + 4 \, a^{2} \log\left({\left| b x + a \right|}\right) + 2 \, a^{2} \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) + 2 \, a^{2} \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 4 \, b x \tan\left(b x + a\right) - 8 \, \log\left({\left| b x + a \right|}\right) \tan\left(b x + a\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} - 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + 4 \, a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - 4 \, a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 8 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) - 4 \, a \tan\left(b x + a\right) - 5 \, \tan\left(b x + a\right)^{2} - 8 \, \log\left({\left| b x + a \right|}\right) - 4 \, \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - 4 \, \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 5}{8 \, {\left(b^{3} \tan\left(b x + a\right)^{2} + b^{3}\right)}}"," ",0,"(2*x*sin(b*x + a)/b^2 - (b^2*x^2 - 2)*cos(b*x + a)/b^3)*cos_integral(b*x + a) + 1/8*(2*b^2*x^2*tan(b*x + a)^2 - 4*a*b*x*tan(b*x + a)^2 + 4*a^2*log(abs(b*x + a))*tan(b*x + a)^2 + 2*a^2*real_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 + 2*a^2*real_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 + 2*b^2*x^2 + 4*a*imag_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 - 4*a*imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 + 8*a*sin_integral(2*b*x + 2*a)*tan(b*x + a)^2 - 4*a*b*x + 4*a^2*log(abs(b*x + a)) + 2*a^2*real_part(cos_integral(2*b*x + 2*a)) + 2*a^2*real_part(cos_integral(-2*b*x - 2*a)) + 4*b*x*tan(b*x + a) - 8*log(abs(b*x + a))*tan(b*x + a)^2 - 4*real_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 - 4*real_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 + 4*a*imag_part(cos_integral(2*b*x + 2*a)) - 4*a*imag_part(cos_integral(-2*b*x - 2*a)) + 8*a*sin_integral(2*b*x + 2*a) - 4*a*tan(b*x + a) - 5*tan(b*x + a)^2 - 8*log(abs(b*x + a)) - 4*real_part(cos_integral(2*b*x + 2*a)) - 4*real_part(cos_integral(-2*b*x - 2*a)) + 5)/(b^3*tan(b*x + a)^2 + b^3)","C",0
124,1,538,0,0.217973," ","integrate(x*Ci(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-{\left(\frac{x \cos\left(b x + a\right)}{b} - \frac{\sin\left(b x + a\right)}{b^{2}}\right)} \operatorname{Ci}\left(b x + a\right) + \frac{2 \, b x \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 2 \, a \log\left({\left| b x + a \right|}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 2 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 2 \, b x \tan\left(b x\right)^{2} - 2 \, a \log\left({\left| b x + a \right|}\right) \tan\left(b x\right)^{2} - a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} - a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} + 2 \, b x \tan\left(a\right)^{2} - 2 \, a \log\left({\left| b x + a \right|}\right) \tan\left(a\right)^{2} - a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(a\right)^{2} - a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(a\right)^{2} - \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} + \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} - 2 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x\right)^{2} - 2 \, \tan\left(b x\right)^{2} \tan\left(a\right) - \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(a\right)^{2} + \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(a\right)^{2} - 2 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(a\right)^{2} - 2 \, \tan\left(b x\right) \tan\left(a\right)^{2} + 2 \, b x - 2 \, a \log\left({\left| b x + a \right|}\right) - a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) - \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) + \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) - 2 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) + 2 \, \tan\left(b x\right) + 2 \, \tan\left(a\right)}{4 \, {\left(b^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + b^{2} \tan\left(b x\right)^{2} + b^{2} \tan\left(a\right)^{2} + b^{2}\right)}}"," ",0,"-(x*cos(b*x + a)/b - sin(b*x + a)/b^2)*cos_integral(b*x + a) + 1/4*(2*b*x*tan(b*x)^2*tan(a)^2 - 2*a*log(abs(b*x + a))*tan(b*x)^2*tan(a)^2 - a*real_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2*tan(a)^2 - a*real_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2*tan(a)^2 - imag_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2*tan(a)^2 + imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2*tan(a)^2 - 2*sin_integral(2*b*x + 2*a)*tan(b*x)^2*tan(a)^2 + 2*b*x*tan(b*x)^2 - 2*a*log(abs(b*x + a))*tan(b*x)^2 - a*real_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2 - a*real_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2 + 2*b*x*tan(a)^2 - 2*a*log(abs(b*x + a))*tan(a)^2 - a*real_part(cos_integral(2*b*x + 2*a))*tan(a)^2 - a*real_part(cos_integral(-2*b*x - 2*a))*tan(a)^2 - imag_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2 + imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2 - 2*sin_integral(2*b*x + 2*a)*tan(b*x)^2 - 2*tan(b*x)^2*tan(a) - imag_part(cos_integral(2*b*x + 2*a))*tan(a)^2 + imag_part(cos_integral(-2*b*x - 2*a))*tan(a)^2 - 2*sin_integral(2*b*x + 2*a)*tan(a)^2 - 2*tan(b*x)*tan(a)^2 + 2*b*x - 2*a*log(abs(b*x + a)) - a*real_part(cos_integral(2*b*x + 2*a)) - a*real_part(cos_integral(-2*b*x - 2*a)) - imag_part(cos_integral(2*b*x + 2*a)) + imag_part(cos_integral(-2*b*x - 2*a)) - 2*sin_integral(2*b*x + 2*a) + 2*tan(b*x) + 2*tan(a))/(b^2*tan(b*x)^2*tan(a)^2 + b^2*tan(b*x)^2 + b^2*tan(a)^2 + b^2)","C",0
125,1,96,0,0.174776," ","integrate(Ci(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\frac{\cos\left(b x + a\right) \operatorname{Ci}\left(b x + a\right)}{b} + \frac{\cos\left(2 \, a\right)^{2} \operatorname{Ci}\left(2 \, b x + 2 \, a\right) + \cos\left(2 \, a\right)^{2} \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) + \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \sin\left(2 \, a\right)^{2} + \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \sin\left(2 \, a\right)^{2} + 2 \, \log\left(b x + a\right)}{4 \, b}"," ",0,"-cos(b*x + a)*cos_integral(b*x + a)/b + 1/4*(cos(2*a)^2*cos_integral(2*b*x + 2*a) + cos(2*a)^2*cos_integral(-2*b*x - 2*a) + cos_integral(2*b*x + 2*a)*sin(2*a)^2 + cos_integral(-2*b*x - 2*a)*sin(2*a)^2 + 2*log(b*x + a))/b","B",0
126,0,0,0,0.000000," ","integrate(Ci(b*x+a)*sin(b*x+a)/x,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x + a\right) \sin\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(Ci(b*x + a)*sin(b*x + a)/x, x)","F",0
127,1,397,0,0.210265," ","integrate(x^2*Ci(b*x+a)*cos(b*x+a),x, algorithm=""giac"")","{\left(\frac{2 \, x \cos\left(b x + a\right)}{b^{2}} + \frac{{\left(b^{2} x^{2} - 2\right)} \sin\left(b x + a\right)}{b^{3}}\right)} \operatorname{Ci}\left(b x + a\right) - \frac{a^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} - a^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + 2 \, a^{2} \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x + a\right)^{2} + 5 \, b x \tan\left(b x + a\right)^{2} - 4 \, a \log\left({\left| b x + a \right|}\right) \tan\left(b x + a\right)^{2} - 2 \, a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} - 2 \, a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + a^{2} \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - a^{2} \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 2 \, a^{2} \operatorname{Si}\left(2 \, b x + 2 \, a\right) - a \tan\left(b x + a\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x + a\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x + a\right)^{2} - 4 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x + a\right)^{2} + 3 \, b x - 4 \, a \log\left({\left| b x + a \right|}\right) - 2 \, a \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - 2 \, a \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + a - 2 \, \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) + 2 \, \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) - 4 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right) + 5 \, \tan\left(b x + a\right)}{4 \, {\left(b^{3} \tan\left(b x + a\right)^{2} + b^{3}\right)}}"," ",0,"(2*x*cos(b*x + a)/b^2 + (b^2*x^2 - 2)*sin(b*x + a)/b^3)*cos_integral(b*x + a) - 1/4*(a^2*imag_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 - a^2*imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 + 2*a^2*sin_integral(2*b*x + 2*a)*tan(b*x + a)^2 + 5*b*x*tan(b*x + a)^2 - 4*a*log(abs(b*x + a))*tan(b*x + a)^2 - 2*a*real_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 - 2*a*real_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 + a^2*imag_part(cos_integral(2*b*x + 2*a)) - a^2*imag_part(cos_integral(-2*b*x - 2*a)) + 2*a^2*sin_integral(2*b*x + 2*a) - a*tan(b*x + a)^2 - 2*imag_part(cos_integral(2*b*x + 2*a))*tan(b*x + a)^2 + 2*imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x + a)^2 - 4*sin_integral(2*b*x + 2*a)*tan(b*x + a)^2 + 3*b*x - 4*a*log(abs(b*x + a)) - 2*a*real_part(cos_integral(2*b*x + 2*a)) - 2*a*real_part(cos_integral(-2*b*x - 2*a)) + a - 2*imag_part(cos_integral(2*b*x + 2*a)) + 2*imag_part(cos_integral(-2*b*x - 2*a)) - 4*sin_integral(2*b*x + 2*a) + 5*tan(b*x + a))/(b^3*tan(b*x + a)^2 + b^3)","C",0
128,1,505,0,0.174147," ","integrate(x*Ci(b*x+a)*cos(b*x+a),x, algorithm=""giac"")","{\left(\frac{x \sin\left(b x + a\right)}{b} + \frac{\cos\left(b x + a\right)}{b^{2}}\right)} \operatorname{Ci}\left(b x + a\right) + \frac{a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + 2 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 2 \, \log\left({\left| b x + a \right|}\right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} - a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} + 2 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(b x\right)^{2} + a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(a\right)^{2} - a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(a\right)^{2} + 2 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) \tan\left(a\right)^{2} + \tan\left(b x\right)^{2} \tan\left(a\right)^{2} - 2 \, \log\left({\left| b x + a \right|}\right) \tan\left(b x\right)^{2} - \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(b x\right)^{2} - \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(b x\right)^{2} - 2 \, \log\left({\left| b x + a \right|}\right) \tan\left(a\right)^{2} - \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) \tan\left(a\right)^{2} - \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) \tan\left(a\right)^{2} + a \Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - a \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 2 \, a \operatorname{Si}\left(2 \, b x + 2 \, a\right) - \tan\left(b x\right)^{2} - 4 \, \tan\left(b x\right) \tan\left(a\right) - \tan\left(a\right)^{2} - 2 \, \log\left({\left| b x + a \right|}\right) - \Re \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - \Re \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 1}{4 \, {\left(b^{2} \tan\left(b x\right)^{2} \tan\left(a\right)^{2} + b^{2} \tan\left(b x\right)^{2} + b^{2} \tan\left(a\right)^{2} + b^{2}\right)}}"," ",0,"(x*sin(b*x + a)/b + cos(b*x + a)/b^2)*cos_integral(b*x + a) + 1/4*(a*imag_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2*tan(a)^2 - a*imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2*tan(a)^2 + 2*a*sin_integral(2*b*x + 2*a)*tan(b*x)^2*tan(a)^2 - 2*log(abs(b*x + a))*tan(b*x)^2*tan(a)^2 - real_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2*tan(a)^2 - real_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2*tan(a)^2 + a*imag_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2 - a*imag_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2 + 2*a*sin_integral(2*b*x + 2*a)*tan(b*x)^2 + a*imag_part(cos_integral(2*b*x + 2*a))*tan(a)^2 - a*imag_part(cos_integral(-2*b*x - 2*a))*tan(a)^2 + 2*a*sin_integral(2*b*x + 2*a)*tan(a)^2 + tan(b*x)^2*tan(a)^2 - 2*log(abs(b*x + a))*tan(b*x)^2 - real_part(cos_integral(2*b*x + 2*a))*tan(b*x)^2 - real_part(cos_integral(-2*b*x - 2*a))*tan(b*x)^2 - 2*log(abs(b*x + a))*tan(a)^2 - real_part(cos_integral(2*b*x + 2*a))*tan(a)^2 - real_part(cos_integral(-2*b*x - 2*a))*tan(a)^2 + a*imag_part(cos_integral(2*b*x + 2*a)) - a*imag_part(cos_integral(-2*b*x - 2*a)) + 2*a*sin_integral(2*b*x + 2*a) - tan(b*x)^2 - 4*tan(b*x)*tan(a) - tan(a)^2 - 2*log(abs(b*x + a)) - real_part(cos_integral(2*b*x + 2*a)) - real_part(cos_integral(-2*b*x - 2*a)) + 1)/(b^2*tan(b*x)^2*tan(a)^2 + b^2*tan(b*x)^2 + b^2*tan(a)^2 + b^2)","C",0
129,1,56,0,0.148898," ","integrate(Ci(b*x+a)*cos(b*x+a),x, algorithm=""giac"")","\frac{\operatorname{Ci}\left(b x + a\right) \sin\left(b x + a\right)}{b} - \frac{\Im \left( \operatorname{Ci}\left(2 \, b x + 2 \, a\right) \right) - \Im \left( \operatorname{Ci}\left(-2 \, b x - 2 \, a\right) \right) + 2 \, \operatorname{Si}\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"cos_integral(b*x + a)*sin(b*x + a)/b - 1/4*(imag_part(cos_integral(2*b*x + 2*a)) - imag_part(cos_integral(-2*b*x - 2*a)) + 2*sin_integral(2*b*x + 2*a))/b","C",0
130,0,0,0,0.000000," ","integrate(Ci(b*x+a)*cos(b*x+a)/x,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(b x + a\right) \cos\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(Ci(b*x + a)*cos(b*x + a)/x, x)","F",0
131,-1,0,0,0.000000," ","integrate(x*Ci(d*x+c)*sin(b*x+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,1,9213,0,0.639514," ","integrate(Ci(d*x+c)*sin(b*x+a),x, algorithm=""giac"")","\frac{{\left(\Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 4 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) + 4 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) - \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) - 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) - 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) + 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) - 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) + \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) + \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) + \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right)\right)} d}{4 \, {\left(b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d\right)}} - \frac{\cos\left(b x + a\right) \operatorname{Ci}\left(d x + c\right)}{b}"," ",0,"1/4*(real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 4*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 4*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 4*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + 4*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 4*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 4*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + 4*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + 4*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 4*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 4*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c) + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c) - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c) - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2 + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2 - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2 - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2 + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2 + 4*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d) + 4*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d) - real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2 + real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2 - real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2 + 4*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + 4*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c - c*d)/d)^2 - real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c - c*d)/d)^2 + real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c - c*d)/d)^2 - 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c) + 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c) - 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c) - 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c) + 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c) - 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c) + 2*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d) - 2*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d) + 4*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*(b*c + c*d)/d) + 2*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c - c*d)/d) - 2*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c - c*d)/d) + 4*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*(b*c - c*d)/d) + real_part(cos_integral(b*x + d*x + c + b*c/d)) + real_part(cos_integral(b*x - d*x - c + b*c/d)) + real_part(cos_integral(-b*x + d*x + c - b*c/d)) + real_part(cos_integral(-b*x - d*x - c - b*c/d)))*d/(b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2 + b*d*tan(1/2*a - 1/2*c)^2 + b*d*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*(b*c - c*d)/d)^2 + b*d) - cos(b*x + a)*cos_integral(d*x + c)/b","C",0
133,0,0,0,0.000000," ","integrate(Ci(d*x+c)*sin(b*x+a)/x,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(d x + c\right) \sin\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(Ci(d*x + c)*sin(b*x + a)/x, x)","F",0
134,-1,0,0,0.000000," ","integrate(x*Ci(d*x+c)*cos(b*x+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,1,9540,0,0.659207," ","integrate(Ci(d*x+c)*cos(b*x+a),x, algorithm=""giac"")","-\frac{{\left(\Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 8 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 8 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + 8 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + 4 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 8 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 4 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 8 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) + 8 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) \tan\left(\frac{b c + c d}{2 \, d}\right) - \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + 4 \, \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) - 4 \, \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + 8 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) \tan\left(\frac{b c - c d}{2 \, d}\right) + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} - 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right) \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right) + 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) + 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c + c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) \tan\left(\frac{b c - c d}{2 \, d}\right) + \Im \left( \operatorname{Ci}\left(b x + d x + c + \frac{b c}{d}\right) \right) + \Im \left( \operatorname{Ci}\left(b x - d x - c + \frac{b c}{d}\right) \right) - \Im \left( \operatorname{Ci}\left(-b x + d x + c - \frac{b c}{d}\right) \right) - \Im \left( \operatorname{Ci}\left(-b x - d x - c - \frac{b c}{d}\right) \right) + 2 \, \operatorname{Si}\left(\frac{b d x + d^{2} x + b c + c d}{d}\right) + 2 \, \operatorname{Si}\left(\frac{b d x - d^{2} x + b c - c d}{d}\right)\right)} d}{4 \, {\left(b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{1}{2} \, a + \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{1}{2} \, a - \frac{1}{2} \, c\right)^{2} + b d \tan\left(\frac{b c + c d}{2 \, d}\right)^{2} + b d \tan\left(\frac{b c - c d}{2 \, d}\right)^{2} + b d\right)}} + \frac{\operatorname{Ci}\left(d x + c\right) \sin\left(b x + a\right)}{b}"," ",0,"-1/4*(imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 4*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 4*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 8*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 4*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 8*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + 4*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 4*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 8*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + 4*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) - 4*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + 8*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + 4*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 4*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 8*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + 4*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 4*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 8*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c) + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c) + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2 + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*a - 1/2*c)^2 + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d) + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d) - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c + c*d)/d)^2 - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d) + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a + 1/2*c)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a + 1/2*c)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a + 1/2*c)^2 + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a - 1/2*c)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a - 1/2*c)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a - 1/2*c)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)^2 + 4*imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d) - 4*imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d) + 8*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*a + 1/2*c)*tan(1/2*(b*c + c*d)/d) - imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c + c*d)/d)^2 - imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2 + imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d)^2 - 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*(b*c + c*d)/d)^2 + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*(b*c + c*d)/d)^2 + 4*imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) - 4*imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + 8*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*a - 1/2*c)*tan(1/2*(b*c - c*d)/d) + imag_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c - c*d)/d)^2 + imag_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c - c*d)/d)^2 - imag_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c - c*d)/d)^2 + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 - 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d)*tan(1/2*(b*c - c*d)/d)^2 + 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*a + 1/2*c) + 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*a + 1/2*c) + 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*a - 1/2*c) + 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*a - 1/2*c) - 2*real_part(cos_integral(b*x + d*x + c + b*c/d))*tan(1/2*(b*c + c*d)/d) - 2*real_part(cos_integral(-b*x - d*x - c - b*c/d))*tan(1/2*(b*c + c*d)/d) - 2*real_part(cos_integral(b*x - d*x - c + b*c/d))*tan(1/2*(b*c - c*d)/d) - 2*real_part(cos_integral(-b*x + d*x + c - b*c/d))*tan(1/2*(b*c - c*d)/d) + imag_part(cos_integral(b*x + d*x + c + b*c/d)) + imag_part(cos_integral(b*x - d*x - c + b*c/d)) - imag_part(cos_integral(-b*x + d*x + c - b*c/d)) - imag_part(cos_integral(-b*x - d*x - c - b*c/d)) + 2*sin_integral((b*d*x + d^2*x + b*c + c*d)/d) + 2*sin_integral((b*d*x - d^2*x + b*c - c*d)/d))*d/(b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*a - 1/2*c)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a - 1/2*c)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*(b*c + c*d)/d)^2*tan(1/2*(b*c - c*d)/d)^2 + b*d*tan(1/2*a + 1/2*c)^2 + b*d*tan(1/2*a - 1/2*c)^2 + b*d*tan(1/2*(b*c + c*d)/d)^2 + b*d*tan(1/2*(b*c - c*d)/d)^2 + b*d) + cos_integral(d*x + c)*sin(b*x + a)/b","C",0
136,0,0,0,0.000000," ","integrate(Ci(d*x+c)*cos(b*x+a)/x,x, algorithm=""giac"")","\int \frac{{\rm Ci}\left(d x + c\right) \cos\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(Ci(d*x + c)*cos(b*x + a)/x, x)","F",0
