1,1,69,0,0.513978," ","integrate(x^5*(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\frac{a d x^{6} + 3 \, {\left(\frac{2 \, x^{2} \sin\left(d x^{2} + c\right)}{d} - \frac{{\left({\left(d x^{2} + c\right)}^{2} - 2 \, {\left(d x^{2} + c\right)} c + c^{2} - 2\right)} \cos\left(d x^{2} + c\right)}{d^{2}}\right)} b}{6 \, d}"," ",0,"1/6*(a*d*x^6 + 3*(2*x^2*sin(d*x^2 + c)/d - ((d*x^2 + c)^2 - 2*(d*x^2 + c)*c + c^2 - 2)*cos(d*x^2 + c)/d^2)*b)/d","A",0
2,1,61,0,0.417600," ","integrate(x^3*(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\frac{\frac{{\left({\left(d x^{2} + c\right)}^{2} - 2 \, {\left(d x^{2} + c\right)} c\right)} a}{d} - \frac{2 \, {\left(d x^{2} \cos\left(d x^{2} + c\right) - \sin\left(d x^{2} + c\right)\right)} b}{d}}{4 \, d}"," ",0,"1/4*(((d*x^2 + c)^2 - 2*(d*x^2 + c)*c)*a/d - 2*(d*x^2*cos(d*x^2 + c) - sin(d*x^2 + c))*b/d)/d","A",0
3,1,26,0,0.714293," ","integrate(x*(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\frac{{\left(d x^{2} + c\right)} a - b \cos\left(d x^{2} + c\right)}{2 \, d}"," ",0,"1/2*((d*x^2 + c)*a - b*cos(d*x^2 + c))/d","A",0
4,1,32,0,0.364053," ","integrate((a+b*sin(d*x^2+c))/x,x, algorithm=""giac"")","\frac{1}{2} \, b \operatorname{Ci}\left(d x^{2}\right) \sin\left(c\right) + \frac{1}{2} \, b \cos\left(c\right) \operatorname{Si}\left(d x^{2}\right) + \frac{1}{2} \, a \log\left(d x^{2}\right)"," ",0,"1/2*b*cos_integral(d*x^2)*sin(c) + 1/2*b*cos(c)*sin_integral(d*x^2) + 1/2*a*log(d*x^2)","A",0
5,1,99,0,0.588084," ","integrate((a+b*sin(d*x^2+c))/x^3,x, algorithm=""giac"")","\frac{{\left(d x^{2} + c\right)} b d^{2} \cos\left(c\right) \operatorname{Ci}\left(d x^{2}\right) - b c d^{2} \cos\left(c\right) \operatorname{Ci}\left(d x^{2}\right) - {\left(d x^{2} + c\right)} b d^{2} \sin\left(c\right) \operatorname{Si}\left(d x^{2}\right) + b c d^{2} \sin\left(c\right) \operatorname{Si}\left(d x^{2}\right) - b d^{2} \sin\left(d x^{2} + c\right) - a d^{2}}{2 \, d^{2} x^{2}}"," ",0,"1/2*((d*x^2 + c)*b*d^2*cos(c)*cos_integral(d*x^2) - b*c*d^2*cos(c)*cos_integral(d*x^2) - (d*x^2 + c)*b*d^2*sin(c)*sin_integral(d*x^2) + b*c*d^2*sin(c)*sin_integral(d*x^2) - b*d^2*sin(d*x^2 + c) - a*d^2)/(d^2*x^2)","B",0
6,1,204,0,0.519304," ","integrate((a+b*sin(d*x^2+c))/x^5,x, algorithm=""giac"")","-\frac{{\left(d x^{2} + c\right)}^{2} b d^{3} \operatorname{Ci}\left(d x^{2}\right) \sin\left(c\right) - 2 \, {\left(d x^{2} + c\right)} b c d^{3} \operatorname{Ci}\left(d x^{2}\right) \sin\left(c\right) + b c^{2} d^{3} \operatorname{Ci}\left(d x^{2}\right) \sin\left(c\right) + {\left(d x^{2} + c\right)}^{2} b d^{3} \cos\left(c\right) \operatorname{Si}\left(d x^{2}\right) - 2 \, {\left(d x^{2} + c\right)} b c d^{3} \cos\left(c\right) \operatorname{Si}\left(d x^{2}\right) + b c^{2} d^{3} \cos\left(c\right) \operatorname{Si}\left(d x^{2}\right) + {\left(d x^{2} + c\right)} b d^{3} \cos\left(d x^{2} + c\right) - b c d^{3} \cos\left(d x^{2} + c\right) + b d^{3} \sin\left(d x^{2} + c\right) + a d^{3}}{4 \, {\left({\left(d x^{2} + c\right)}^{2} - 2 \, {\left(d x^{2} + c\right)} c + c^{2}\right)} d}"," ",0,"-1/4*((d*x^2 + c)^2*b*d^3*cos_integral(d*x^2)*sin(c) - 2*(d*x^2 + c)*b*c*d^3*cos_integral(d*x^2)*sin(c) + b*c^2*d^3*cos_integral(d*x^2)*sin(c) + (d*x^2 + c)^2*b*d^3*cos(c)*sin_integral(d*x^2) - 2*(d*x^2 + c)*b*c*d^3*cos(c)*sin_integral(d*x^2) + b*c^2*d^3*cos(c)*sin_integral(d*x^2) + (d*x^2 + c)*b*d^3*cos(d*x^2 + c) - b*c*d^3*cos(d*x^2 + c) + b*d^3*sin(d*x^2 + c) + a*d^3)/(((d*x^2 + c)^2 - 2*(d*x^2 + c)*c + c^2)*d)","B",0
7,1,165,0,0.498445," ","integrate(x^4*(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\frac{1}{5} \, a x^{5} - \frac{3 i \, \sqrt{2} \sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(i \, c\right)}}{16 \, d^{2} {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}} + \frac{3 i \, \sqrt{2} \sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(-i \, c\right)}}{16 \, d^{2} {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}} + \frac{i \, {\left(2 i \, b d x^{3} - 3 \, b x\right)} e^{\left(i \, d x^{2} + i \, c\right)}}{8 \, d^{2}} + \frac{i \, {\left(2 i \, b d x^{3} + 3 \, b x\right)} e^{\left(-i \, d x^{2} - i \, c\right)}}{8 \, d^{2}}"," ",0,"1/5*a*x^5 - 3/16*I*sqrt(2)*sqrt(pi)*b*erf(-1/2*sqrt(2)*x*(-I*d/abs(d) + 1)*sqrt(abs(d)))*e^(I*c)/(d^2*(-I*d/abs(d) + 1)*sqrt(abs(d))) + 3/16*I*sqrt(2)*sqrt(pi)*b*erf(-1/2*sqrt(2)*x*(I*d/abs(d) + 1)*sqrt(abs(d)))*e^(-I*c)/(d^2*(I*d/abs(d) + 1)*sqrt(abs(d))) + 1/8*I*(2*I*b*d*x^3 - 3*b*x)*e^(I*d*x^2 + I*c)/d^2 + 1/8*I*(2*I*b*d*x^3 + 3*b*x)*e^(-I*d*x^2 - I*c)/d^2","C",0
8,1,145,0,0.621508," ","integrate(x^2*(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\frac{1}{3} \, a x^{3} - \frac{b x e^{\left(i \, d x^{2} + i \, c\right)}}{4 \, d} - \frac{b x e^{\left(-i \, d x^{2} - i \, c\right)}}{4 \, d} - \frac{\sqrt{2} \sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(i \, c\right)}}{8 \, d {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}} - \frac{\sqrt{2} \sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(-i \, c\right)}}{8 \, d {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}}"," ",0,"1/3*a*x^3 - 1/4*b*x*e^(I*d*x^2 + I*c)/d - 1/4*b*x*e^(-I*d*x^2 - I*c)/d - 1/8*sqrt(2)*sqrt(pi)*b*erf(-1/2*sqrt(2)*x*(-I*d/abs(d) + 1)*sqrt(abs(d)))*e^(I*c)/(d*(-I*d/abs(d) + 1)*sqrt(abs(d))) - 1/8*sqrt(2)*sqrt(pi)*b*erf(-1/2*sqrt(2)*x*(I*d/abs(d) + 1)*sqrt(abs(d)))*e^(-I*c)/(d*(I*d/abs(d) + 1)*sqrt(abs(d)))","C",0
9,1,102,0,1.020946," ","integrate(a+b*sin(d*x^2+c),x, algorithm=""giac"")","-\frac{1}{4} \, {\left(-\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(i \, c\right)}}{{\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}} + \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(-i \, c\right)}}{{\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}}\right)} b + a x"," ",0,"-1/4*(-I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(-I*d/abs(d) + 1)*sqrt(abs(d)))*e^(I*c)/((-I*d/abs(d) + 1)*sqrt(abs(d))) + I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(I*d/abs(d) + 1)*sqrt(abs(d)))*e^(-I*c)/((I*d/abs(d) + 1)*sqrt(abs(d))))*b + a*x","C",0
10,0,0,0,0.000000," ","integrate((a+b*sin(d*x^2+c))/x^2,x, algorithm=""giac"")","\int \frac{b \sin\left(d x^{2} + c\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*sin(d*x^2 + c) + a)/x^2, x)","F",0
11,0,0,0,0.000000," ","integrate((a+b*sin(d*x^2+c))/x^4,x, algorithm=""giac"")","\int \frac{b \sin\left(d x^{2} + c\right) + a}{x^{4}}\,{d x}"," ",0,"integrate((b*sin(d*x^2 + c) + a)/x^4, x)","F",0
12,1,181,0,0.612834," ","integrate(x^5*(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\frac{8 \, a^{2} d x^{6} + 48 \, {\left(\frac{2 \, x^{2} \sin\left(d x^{2} + c\right)}{d} - \frac{{\left({\left(d x^{2} + c\right)}^{2} - 2 \, {\left(d x^{2} + c\right)} c + c^{2} - 2\right)} \cos\left(d x^{2} + c\right)}{d^{2}}\right)} a b - {\left(\frac{6 \, x^{2} \cos\left(2 \, d x^{2} + 2 \, c\right)}{d} + \frac{3 \, {\left(2 \, {\left(d x^{2} + c\right)}^{2} - 4 \, {\left(d x^{2} + c\right)} c + 2 \, c^{2} - 1\right)} \sin\left(2 \, d x^{2} + 2 \, c\right)}{d^{2}} - \frac{4 \, {\left({\left(d x^{2} + c\right)}^{3} - 3 \, {\left(d x^{2} + c\right)}^{2} c + 3 \, {\left(d x^{2} + c\right)} c^{2}\right)}}{d^{2}}\right)} b^{2}}{48 \, d}"," ",0,"1/48*(8*a^2*d*x^6 + 48*(2*x^2*sin(d*x^2 + c)/d - ((d*x^2 + c)^2 - 2*(d*x^2 + c)*c + c^2 - 2)*cos(d*x^2 + c)/d^2)*a*b - (6*x^2*cos(2*d*x^2 + 2*c)/d + 3*(2*(d*x^2 + c)^2 - 4*(d*x^2 + c)*c + 2*c^2 - 1)*sin(2*d*x^2 + 2*c)/d^2 - 4*((d*x^2 + c)^3 - 3*(d*x^2 + c)^2*c + 3*(d*x^2 + c)*c^2)/d^2)*b^2)/d","A",0
13,1,123,0,0.542345," ","integrate(x^3*(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\frac{\frac{4 \, {\left({\left(d x^{2} + c\right)}^{2} - 2 \, {\left(d x^{2} + c\right)} c\right)} a^{2}}{d} - \frac{16 \, {\left(d x^{2} \cos\left(d x^{2} + c\right) - \sin\left(d x^{2} + c\right)\right)} a b}{d} - \frac{{\left(2 \, d x^{2} \sin\left(2 \, d x^{2} + 2 \, c\right) - 2 \, {\left(d x^{2} + c\right)}^{2} + 4 \, {\left(d x^{2} + c\right)} c + \cos\left(2 \, d x^{2} + 2 \, c\right)\right)} b^{2}}{d}}{16 \, d}"," ",0,"1/16*(4*((d*x^2 + c)^2 - 2*(d*x^2 + c)*c)*a^2/d - 16*(d*x^2*cos(d*x^2 + c) - sin(d*x^2 + c))*a*b/d - (2*d*x^2*sin(2*d*x^2 + 2*c) - 2*(d*x^2 + c)^2 + 4*(d*x^2 + c)*c + cos(2*d*x^2 + 2*c))*b^2/d)/d","A",0
14,1,57,0,0.806087," ","integrate(x*(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\frac{4 \, {\left(d x^{2} + c\right)} a^{2} + {\left(2 \, d x^{2} + 2 \, c - \sin\left(2 \, d x^{2} + 2 \, c\right)\right)} b^{2} - 8 \, a b \cos\left(d x^{2} + c\right)}{8 \, d}"," ",0,"1/8*(4*(d*x^2 + c)*a^2 + (2*d*x^2 + 2*c - sin(2*d*x^2 + 2*c))*b^2 - 8*a*b*cos(d*x^2 + c))/d","A",0
15,1,77,0,0.408765," ","integrate((a+b*sin(d*x^2+c))^2/x,x, algorithm=""giac"")","-\frac{1}{4} \, b^{2} \cos\left(2 \, c\right) \operatorname{Ci}\left(2 \, d x^{2}\right) + a b \operatorname{Ci}\left(d x^{2}\right) \sin\left(c\right) + a b \cos\left(c\right) \operatorname{Si}\left(d x^{2}\right) - \frac{1}{4} \, b^{2} \sin\left(2 \, c\right) \operatorname{Si}\left(-2 \, d x^{2}\right) + \frac{1}{2} \, a^{2} \log\left(d x^{2}\right) + \frac{1}{4} \, b^{2} \log\left(d x^{2}\right)"," ",0,"-1/4*b^2*cos(2*c)*cos_integral(2*d*x^2) + a*b*cos_integral(d*x^2)*sin(c) + a*b*cos(c)*sin_integral(d*x^2) - 1/4*b^2*sin(2*c)*sin_integral(-2*d*x^2) + 1/2*a^2*log(d*x^2) + 1/4*b^2*log(d*x^2)","A",0
16,1,226,0,0.488062," ","integrate((a+b*sin(d*x^2+c))^2/x^3,x, algorithm=""giac"")","\frac{4 \, {\left(d x^{2} + c\right)} a b d^{2} \cos\left(c\right) \operatorname{Ci}\left(d x^{2}\right) - 4 \, a b c d^{2} \cos\left(c\right) \operatorname{Ci}\left(d x^{2}\right) + 2 \, {\left(d x^{2} + c\right)} b^{2} d^{2} \operatorname{Ci}\left(2 \, d x^{2}\right) \sin\left(2 \, c\right) - 2 \, b^{2} c d^{2} \operatorname{Ci}\left(2 \, d x^{2}\right) \sin\left(2 \, c\right) - 4 \, {\left(d x^{2} + c\right)} a b d^{2} \sin\left(c\right) \operatorname{Si}\left(d x^{2}\right) + 4 \, a b c d^{2} \sin\left(c\right) \operatorname{Si}\left(d x^{2}\right) - 2 \, {\left(d x^{2} + c\right)} b^{2} d^{2} \cos\left(2 \, c\right) \operatorname{Si}\left(-2 \, d x^{2}\right) + 2 \, b^{2} c d^{2} \cos\left(2 \, c\right) \operatorname{Si}\left(-2 \, d x^{2}\right) + b^{2} d^{2} \cos\left(2 \, d x^{2} + 2 \, c\right) - 4 \, a b d^{2} \sin\left(d x^{2} + c\right) - 2 \, a^{2} d^{2} - b^{2} d^{2}}{4 \, d^{2} x^{2}}"," ",0,"1/4*(4*(d*x^2 + c)*a*b*d^2*cos(c)*cos_integral(d*x^2) - 4*a*b*c*d^2*cos(c)*cos_integral(d*x^2) + 2*(d*x^2 + c)*b^2*d^2*cos_integral(2*d*x^2)*sin(2*c) - 2*b^2*c*d^2*cos_integral(2*d*x^2)*sin(2*c) - 4*(d*x^2 + c)*a*b*d^2*sin(c)*sin_integral(d*x^2) + 4*a*b*c*d^2*sin(c)*sin_integral(d*x^2) - 2*(d*x^2 + c)*b^2*d^2*cos(2*c)*sin_integral(-2*d*x^2) + 2*b^2*c*d^2*cos(2*c)*sin_integral(-2*d*x^2) + b^2*d^2*cos(2*d*x^2 + 2*c) - 4*a*b*d^2*sin(d*x^2 + c) - 2*a^2*d^2 - b^2*d^2)/(d^2*x^2)","B",0
17,1,448,0,0.426466," ","integrate((a+b*sin(d*x^2+c))^2/x^5,x, algorithm=""giac"")","\frac{4 \, {\left(d x^{2} + c\right)}^{2} b^{2} d^{3} \cos\left(2 \, c\right) \operatorname{Ci}\left(2 \, d x^{2}\right) - 8 \, {\left(d x^{2} + c\right)} b^{2} c d^{3} \cos\left(2 \, c\right) \operatorname{Ci}\left(2 \, d x^{2}\right) + 4 \, b^{2} c^{2} d^{3} \cos\left(2 \, c\right) \operatorname{Ci}\left(2 \, d x^{2}\right) - 4 \, {\left(d x^{2} + c\right)}^{2} a b d^{3} \operatorname{Ci}\left(d x^{2}\right) \sin\left(c\right) + 8 \, {\left(d x^{2} + c\right)} a b c d^{3} \operatorname{Ci}\left(d x^{2}\right) \sin\left(c\right) - 4 \, a b c^{2} d^{3} \operatorname{Ci}\left(d x^{2}\right) \sin\left(c\right) - 4 \, {\left(d x^{2} + c\right)}^{2} a b d^{3} \cos\left(c\right) \operatorname{Si}\left(d x^{2}\right) + 8 \, {\left(d x^{2} + c\right)} a b c d^{3} \cos\left(c\right) \operatorname{Si}\left(d x^{2}\right) - 4 \, a b c^{2} d^{3} \cos\left(c\right) \operatorname{Si}\left(d x^{2}\right) + 4 \, {\left(d x^{2} + c\right)}^{2} b^{2} d^{3} \sin\left(2 \, c\right) \operatorname{Si}\left(-2 \, d x^{2}\right) - 8 \, {\left(d x^{2} + c\right)} b^{2} c d^{3} \sin\left(2 \, c\right) \operatorname{Si}\left(-2 \, d x^{2}\right) + 4 \, b^{2} c^{2} d^{3} \sin\left(2 \, c\right) \operatorname{Si}\left(-2 \, d x^{2}\right) - 4 \, {\left(d x^{2} + c\right)} a b d^{3} \cos\left(d x^{2} + c\right) + 4 \, a b c d^{3} \cos\left(d x^{2} + c\right) - 2 \, {\left(d x^{2} + c\right)} b^{2} d^{3} \sin\left(2 \, d x^{2} + 2 \, c\right) + 2 \, b^{2} c d^{3} \sin\left(2 \, d x^{2} + 2 \, c\right) + b^{2} d^{3} \cos\left(2 \, d x^{2} + 2 \, c\right) - 4 \, a b d^{3} \sin\left(d x^{2} + c\right) - 2 \, a^{2} d^{3} - b^{2} d^{3}}{8 \, {\left({\left(d x^{2} + c\right)}^{2} - 2 \, {\left(d x^{2} + c\right)} c + c^{2}\right)} d}"," ",0,"1/8*(4*(d*x^2 + c)^2*b^2*d^3*cos(2*c)*cos_integral(2*d*x^2) - 8*(d*x^2 + c)*b^2*c*d^3*cos(2*c)*cos_integral(2*d*x^2) + 4*b^2*c^2*d^3*cos(2*c)*cos_integral(2*d*x^2) - 4*(d*x^2 + c)^2*a*b*d^3*cos_integral(d*x^2)*sin(c) + 8*(d*x^2 + c)*a*b*c*d^3*cos_integral(d*x^2)*sin(c) - 4*a*b*c^2*d^3*cos_integral(d*x^2)*sin(c) - 4*(d*x^2 + c)^2*a*b*d^3*cos(c)*sin_integral(d*x^2) + 8*(d*x^2 + c)*a*b*c*d^3*cos(c)*sin_integral(d*x^2) - 4*a*b*c^2*d^3*cos(c)*sin_integral(d*x^2) + 4*(d*x^2 + c)^2*b^2*d^3*sin(2*c)*sin_integral(-2*d*x^2) - 8*(d*x^2 + c)*b^2*c*d^3*sin(2*c)*sin_integral(-2*d*x^2) + 4*b^2*c^2*d^3*sin(2*c)*sin_integral(-2*d*x^2) - 4*(d*x^2 + c)*a*b*d^3*cos(d*x^2 + c) + 4*a*b*c*d^3*cos(d*x^2 + c) - 2*(d*x^2 + c)*b^2*d^3*sin(2*d*x^2 + 2*c) + 2*b^2*c*d^3*sin(2*d*x^2 + 2*c) + b^2*d^3*cos(2*d*x^2 + 2*c) - 4*a*b*d^3*sin(d*x^2 + c) - 2*a^2*d^3 - b^2*d^3)/(((d*x^2 + c)^2 - 2*(d*x^2 + c)*c + c^2)*d)","B",0
18,1,329,0,0.477489," ","integrate(x^4*(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\frac{1}{5} \, a^{2} x^{5} + \frac{1}{10} \, b^{2} x^{5} - \frac{3 i \, \sqrt{2} \sqrt{\pi} a b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(i \, c\right)}}{8 \, d^{2} {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}} + \frac{3 i \, \sqrt{2} \sqrt{\pi} a b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(-i \, c\right)}}{8 \, d^{2} {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}} - \frac{3 \, \sqrt{\pi} b^{2} \operatorname{erf}\left(-\sqrt{d} x {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)}\right) e^{\left(2 i \, c\right)}}{128 \, d^{\frac{5}{2}} {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)}} - \frac{3 \, \sqrt{\pi} b^{2} \operatorname{erf}\left(-\sqrt{d} x {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)}\right) e^{\left(-2 i \, c\right)}}{128 \, d^{\frac{5}{2}} {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)}} - \frac{{\left(-4 i \, b^{2} d x^{3} + 3 \, b^{2} x\right)} e^{\left(2 i \, d x^{2} + 2 i \, c\right)}}{64 \, d^{2}} + \frac{i \, {\left(2 i \, a b d x^{3} - 3 \, a b x\right)} e^{\left(i \, d x^{2} + i \, c\right)}}{4 \, d^{2}} + \frac{i \, {\left(2 i \, a b d x^{3} + 3 \, a b x\right)} e^{\left(-i \, d x^{2} - i \, c\right)}}{4 \, d^{2}} - \frac{{\left(4 i \, b^{2} d x^{3} + 3 \, b^{2} x\right)} e^{\left(-2 i \, d x^{2} - 2 i \, c\right)}}{64 \, d^{2}}"," ",0,"1/5*a^2*x^5 + 1/10*b^2*x^5 - 3/8*I*sqrt(2)*sqrt(pi)*a*b*erf(-1/2*sqrt(2)*x*(-I*d/abs(d) + 1)*sqrt(abs(d)))*e^(I*c)/(d^2*(-I*d/abs(d) + 1)*sqrt(abs(d))) + 3/8*I*sqrt(2)*sqrt(pi)*a*b*erf(-1/2*sqrt(2)*x*(I*d/abs(d) + 1)*sqrt(abs(d)))*e^(-I*c)/(d^2*(I*d/abs(d) + 1)*sqrt(abs(d))) - 3/128*sqrt(pi)*b^2*erf(-sqrt(d)*x*(-I*d/abs(d) + 1))*e^(2*I*c)/(d^(5/2)*(-I*d/abs(d) + 1)) - 3/128*sqrt(pi)*b^2*erf(-sqrt(d)*x*(I*d/abs(d) + 1))*e^(-2*I*c)/(d^(5/2)*(I*d/abs(d) + 1)) - 1/64*(-4*I*b^2*d*x^3 + 3*b^2*x)*e^(2*I*d*x^2 + 2*I*c)/d^2 + 1/4*I*(2*I*a*b*d*x^3 - 3*a*b*x)*e^(I*d*x^2 + I*c)/d^2 + 1/4*I*(2*I*a*b*d*x^3 + 3*a*b*x)*e^(-I*d*x^2 - I*c)/d^2 - 1/64*(4*I*b^2*d*x^3 + 3*b^2*x)*e^(-2*I*d*x^2 - 2*I*c)/d^2","C",0
19,1,283,0,0.557744," ","integrate(x^2*(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\frac{1}{3} \, a^{2} x^{3} + \frac{1}{6} \, b^{2} x^{3} + \frac{i \, b^{2} x e^{\left(2 i \, d x^{2} + 2 i \, c\right)}}{16 \, d} - \frac{a b x e^{\left(i \, d x^{2} + i \, c\right)}}{2 \, d} - \frac{a b x e^{\left(-i \, d x^{2} - i \, c\right)}}{2 \, d} - \frac{i \, b^{2} x e^{\left(-2 i \, d x^{2} - 2 i \, c\right)}}{16 \, d} - \frac{\sqrt{2} \sqrt{\pi} a b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(i \, c\right)}}{4 \, d {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}} - \frac{\sqrt{2} \sqrt{\pi} a b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(-i \, c\right)}}{4 \, d {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}} + \frac{i \, \sqrt{\pi} b^{2} \operatorname{erf}\left(-\sqrt{d} x {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)}\right) e^{\left(2 i \, c\right)}}{32 \, d^{\frac{3}{2}} {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)}} - \frac{i \, \sqrt{\pi} b^{2} \operatorname{erf}\left(-\sqrt{d} x {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)}\right) e^{\left(-2 i \, c\right)}}{32 \, d^{\frac{3}{2}} {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)}}"," ",0,"1/3*a^2*x^3 + 1/6*b^2*x^3 + 1/16*I*b^2*x*e^(2*I*d*x^2 + 2*I*c)/d - 1/2*a*b*x*e^(I*d*x^2 + I*c)/d - 1/2*a*b*x*e^(-I*d*x^2 - I*c)/d - 1/16*I*b^2*x*e^(-2*I*d*x^2 - 2*I*c)/d - 1/4*sqrt(2)*sqrt(pi)*a*b*erf(-1/2*sqrt(2)*x*(-I*d/abs(d) + 1)*sqrt(abs(d)))*e^(I*c)/(d*(-I*d/abs(d) + 1)*sqrt(abs(d))) - 1/4*sqrt(2)*sqrt(pi)*a*b*erf(-1/2*sqrt(2)*x*(I*d/abs(d) + 1)*sqrt(abs(d)))*e^(-I*c)/(d*(I*d/abs(d) + 1)*sqrt(abs(d))) + 1/32*I*sqrt(pi)*b^2*erf(-sqrt(d)*x*(-I*d/abs(d) + 1))*e^(2*I*c)/(d^(3/2)*(-I*d/abs(d) + 1)) - 1/32*I*sqrt(pi)*b^2*erf(-sqrt(d)*x*(I*d/abs(d) + 1))*e^(-2*I*c)/(d^(3/2)*(I*d/abs(d) + 1))","C",0
20,1,195,0,1.041070," ","integrate((a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\frac{i \, \sqrt{2} \sqrt{\pi} a b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(i \, c\right)}}{2 \, {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}} - \frac{i \, \sqrt{2} \sqrt{\pi} a b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}\right) e^{\left(-i \, c\right)}}{2 \, {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)} \sqrt{{\left| d \right|}}} + \frac{\sqrt{\pi} b^{2} \operatorname{erf}\left(-\sqrt{d} x {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)}\right) e^{\left(2 i \, c\right)}}{8 \, \sqrt{d} {\left(-\frac{i \, d}{{\left| d \right|}} + 1\right)}} + \frac{\sqrt{\pi} b^{2} \operatorname{erf}\left(-\sqrt{d} x {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)}\right) e^{\left(-2 i \, c\right)}}{8 \, \sqrt{d} {\left(\frac{i \, d}{{\left| d \right|}} + 1\right)}} + \frac{1}{2} \, {\left(2 \, a^{2} + b^{2}\right)} x"," ",0,"1/2*I*sqrt(2)*sqrt(pi)*a*b*erf(-1/2*sqrt(2)*x*(-I*d/abs(d) + 1)*sqrt(abs(d)))*e^(I*c)/((-I*d/abs(d) + 1)*sqrt(abs(d))) - 1/2*I*sqrt(2)*sqrt(pi)*a*b*erf(-1/2*sqrt(2)*x*(I*d/abs(d) + 1)*sqrt(abs(d)))*e^(-I*c)/((I*d/abs(d) + 1)*sqrt(abs(d))) + 1/8*sqrt(pi)*b^2*erf(-sqrt(d)*x*(-I*d/abs(d) + 1))*e^(2*I*c)/(sqrt(d)*(-I*d/abs(d) + 1)) + 1/8*sqrt(pi)*b^2*erf(-sqrt(d)*x*(I*d/abs(d) + 1))*e^(-2*I*c)/(sqrt(d)*(I*d/abs(d) + 1)) + 1/2*(2*a^2 + b^2)*x","C",0
21,0,0,0,0.000000," ","integrate((a+b*sin(d*x^2+c))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \sin\left(d x^{2} + c\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*sin(d*x^2 + c) + a)^2/x^2, x)","F",0
22,0,0,0,0.000000," ","integrate((a+b*sin(d*x^2+c))^2/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \sin\left(d x^{2} + c\right) + a\right)}^{2}}{x^{4}}\,{d x}"," ",0,"integrate((b*sin(d*x^2 + c) + a)^2/x^4, x)","F",0
23,1,122,0,0.350042," ","integrate(x^5*sin(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{\frac{6 \, x^{2} \sin\left(3 \, b x^{2} + 3 \, a\right)}{b} - \frac{162 \, x^{2} \sin\left(b x^{2} + a\right)}{b} - \frac{{\left(9 \, {\left(b x^{2} + a\right)}^{2} - 18 \, {\left(b x^{2} + a\right)} a + 9 \, a^{2} - 2\right)} \cos\left(3 \, b x^{2} + 3 \, a\right)}{b^{2}} + \frac{81 \, {\left({\left(b x^{2} + a\right)}^{2} - 2 \, {\left(b x^{2} + a\right)} a + a^{2} - 2\right)} \cos\left(b x^{2} + a\right)}{b^{2}}}{216 \, b}"," ",0,"-1/216*(6*x^2*sin(3*b*x^2 + 3*a)/b - 162*x^2*sin(b*x^2 + a)/b - (9*(b*x^2 + a)^2 - 18*(b*x^2 + a)*a + 9*a^2 - 2)*cos(3*b*x^2 + 3*a)/b^2 + 81*((b*x^2 + a)^2 - 2*(b*x^2 + a)*a + a^2 - 2)*cos(b*x^2 + a)/b^2)/b","A",0
24,1,60,0,0.512558," ","integrate(x^3*sin(b*x^2+a)^3,x, algorithm=""giac"")","\frac{3 \, b x^{2} \cos\left(3 \, b x^{2} + 3 \, a\right) - 27 \, b x^{2} \cos\left(b x^{2} + a\right) - \sin\left(3 \, b x^{2} + 3 \, a\right) + 27 \, \sin\left(b x^{2} + a\right)}{72 \, b^{2}}"," ",0,"1/72*(3*b*x^2*cos(3*b*x^2 + 3*a) - 27*b*x^2*cos(b*x^2 + a) - sin(3*b*x^2 + 3*a) + 27*sin(b*x^2 + a))/b^2","A",0
25,1,26,0,0.445267," ","integrate(x*sin(b*x^2+a)^3,x, algorithm=""giac"")","\frac{\cos\left(b x^{2} + a\right)^{3} - 3 \, \cos\left(b x^{2} + a\right)}{6 \, b}"," ",0,"1/6*(cos(b*x^2 + a)^3 - 3*cos(b*x^2 + a))/b","A",0
26,1,47,0,0.371490," ","integrate(sin(b*x^2+a)^3/x,x, algorithm=""giac"")","-\frac{1}{8} \, \operatorname{Ci}\left(3 \, b x^{2}\right) \sin\left(3 \, a\right) + \frac{3}{8} \, \operatorname{Ci}\left(b x^{2}\right) \sin\left(a\right) + \frac{3}{8} \, \cos\left(a\right) \operatorname{Si}\left(b x^{2}\right) + \frac{1}{8} \, \cos\left(3 \, a\right) \operatorname{Si}\left(-3 \, b x^{2}\right)"," ",0,"-1/8*cos_integral(3*b*x^2)*sin(3*a) + 3/8*cos_integral(b*x^2)*sin(a) + 3/8*cos(a)*sin_integral(b*x^2) + 1/8*cos(3*a)*sin_integral(-3*b*x^2)","A",0
27,1,186,0,0.473131," ","integrate(sin(b*x^2+a)^3/x^3,x, algorithm=""giac"")","-\frac{3 \, {\left(b x^{2} + a\right)} b^{2} \cos\left(3 \, a\right) \operatorname{Ci}\left(3 \, b x^{2}\right) - 3 \, a b^{2} \cos\left(3 \, a\right) \operatorname{Ci}\left(3 \, b x^{2}\right) - 3 \, {\left(b x^{2} + a\right)} b^{2} \cos\left(a\right) \operatorname{Ci}\left(b x^{2}\right) + 3 \, a b^{2} \cos\left(a\right) \operatorname{Ci}\left(b x^{2}\right) + 3 \, {\left(b x^{2} + a\right)} b^{2} \sin\left(a\right) \operatorname{Si}\left(b x^{2}\right) - 3 \, a b^{2} \sin\left(a\right) \operatorname{Si}\left(b x^{2}\right) + 3 \, {\left(b x^{2} + a\right)} b^{2} \sin\left(3 \, a\right) \operatorname{Si}\left(-3 \, b x^{2}\right) - 3 \, a b^{2} \sin\left(3 \, a\right) \operatorname{Si}\left(-3 \, b x^{2}\right) - b^{2} \sin\left(3 \, b x^{2} + 3 \, a\right) + 3 \, b^{2} \sin\left(b x^{2} + a\right)}{8 \, b^{2} x^{2}}"," ",0,"-1/8*(3*(b*x^2 + a)*b^2*cos(3*a)*cos_integral(3*b*x^2) - 3*a*b^2*cos(3*a)*cos_integral(3*b*x^2) - 3*(b*x^2 + a)*b^2*cos(a)*cos_integral(b*x^2) + 3*a*b^2*cos(a)*cos_integral(b*x^2) + 3*(b*x^2 + a)*b^2*sin(a)*sin_integral(b*x^2) - 3*a*b^2*sin(a)*sin_integral(b*x^2) + 3*(b*x^2 + a)*b^2*sin(3*a)*sin_integral(-3*b*x^2) - 3*a*b^2*sin(3*a)*sin_integral(-3*b*x^2) - b^2*sin(3*b*x^2 + 3*a) + 3*b^2*sin(b*x^2 + a))/(b^2*x^2)","B",0
28,1,259,0,1.165960," ","integrate(x^2*sin(b*x^2+a)^3,x, algorithm=""giac"")","\frac{x e^{\left(3 i \, b x^{2} + 3 i \, a\right)}}{48 \, b} - \frac{3 \, x e^{\left(i \, b x^{2} + i \, a\right)}}{16 \, b} - \frac{3 \, x e^{\left(-i \, b x^{2} - i \, a\right)}}{16 \, b} + \frac{x e^{\left(-3 i \, b x^{2} - 3 i \, a\right)}}{48 \, b} + \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{6} \sqrt{b} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(3 i \, a\right)}}{288 \, b^{\frac{3}{2}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}} - \frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{32 \, b {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} - \frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{32 \, b {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{6} \sqrt{b} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(-3 i \, a\right)}}{288 \, b^{\frac{3}{2}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}}"," ",0,"1/48*x*e^(3*I*b*x^2 + 3*I*a)/b - 3/16*x*e^(I*b*x^2 + I*a)/b - 3/16*x*e^(-I*b*x^2 - I*a)/b + 1/48*x*e^(-3*I*b*x^2 - 3*I*a)/b + 1/288*sqrt(6)*sqrt(pi)*erf(-1/2*sqrt(6)*sqrt(b)*x*(-I*b/abs(b) + 1))*e^(3*I*a)/(b^(3/2)*(-I*b/abs(b) + 1)) - 3/32*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b*(-I*b/abs(b) + 1)*sqrt(abs(b))) - 3/32*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b*(I*b/abs(b) + 1)*sqrt(abs(b))) + 1/288*sqrt(6)*sqrt(pi)*erf(-1/2*sqrt(6)*sqrt(b)*x*(I*b/abs(b) + 1))*e^(-3*I*a)/(b^(3/2)*(I*b/abs(b) + 1))","C",0
29,1,185,0,0.925204," ","integrate(sin(b*x^2+a)^3,x, algorithm=""giac"")","-\frac{i \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{6} \sqrt{b} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(3 i \, a\right)}}{48 \, \sqrt{b} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)}} + \frac{3 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{16 \, {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} - \frac{3 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{16 \, {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{i \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{6} \sqrt{b} x {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}\right) e^{\left(-3 i \, a\right)}}{48 \, \sqrt{b} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)}}"," ",0,"-1/48*I*sqrt(6)*sqrt(pi)*erf(-1/2*sqrt(6)*sqrt(b)*x*(-I*b/abs(b) + 1))*e^(3*I*a)/(sqrt(b)*(-I*b/abs(b) + 1)) + 3/16*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/((-I*b/abs(b) + 1)*sqrt(abs(b))) - 3/16*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*x*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/((I*b/abs(b) + 1)*sqrt(abs(b))) + 1/48*I*sqrt(6)*sqrt(pi)*erf(-1/2*sqrt(6)*sqrt(b)*x*(I*b/abs(b) + 1))*e^(-3*I*a)/(sqrt(b)*(I*b/abs(b) + 1))","C",0
30,0,0,0,0.000000," ","integrate(sin(b*x^2+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\sin\left(b x^{2} + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(sin(b*x^2 + a)^3/x^2, x)","F",0
31,1,97,0,0.447324," ","integrate(x^2*sin(x^2)^3,x, algorithm=""giac"")","\left(\frac{1}{576} i + \frac{1}{576}\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{6} x\right) - \left(\frac{1}{576} i - \frac{1}{576}\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{6} x\right) - \left(\frac{3}{64} i + \frac{3}{64}\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} x\right) + \left(\frac{3}{64} i - \frac{3}{64}\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} x\right) + \frac{1}{48} \, x e^{\left(3 i \, x^{2}\right)} - \frac{3}{16} \, x e^{\left(i \, x^{2}\right)} - \frac{3}{16} \, x e^{\left(-i \, x^{2}\right)} + \frac{1}{48} \, x e^{\left(-3 i \, x^{2}\right)}"," ",0,"(1/576*I + 1/576)*sqrt(6)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(6)*x) - (1/576*I - 1/576)*sqrt(6)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(6)*x) - (3/64*I + 3/64)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*x) + (3/64*I - 3/64)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*x) + 1/48*x*e^(3*I*x^2) - 3/16*x*e^(I*x^2) - 3/16*x*e^(-I*x^2) + 1/48*x*e^(-3*I*x^2)","C",0
32,1,125,0,0.739225," ","integrate(x^4*cos(x^2)*sin(x^2)^2,x, algorithm=""giac"")","-\left(\frac{1}{1152} i + \frac{1}{1152}\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{6} x\right) + \left(\frac{1}{1152} i - \frac{1}{1152}\right) \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{6} x\right) + \left(\frac{3}{128} i + \frac{3}{128}\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} x\right) - \left(\frac{3}{128} i - \frac{3}{128}\right) \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} x\right) - \frac{1}{96} \, {\left(-2 i \, x^{3} + x\right)} e^{\left(3 i \, x^{2}\right)} - \frac{1}{32} \, {\left(2 i \, x^{3} - 3 \, x\right)} e^{\left(i \, x^{2}\right)} - \frac{1}{32} \, {\left(-2 i \, x^{3} - 3 \, x\right)} e^{\left(-i \, x^{2}\right)} - \frac{1}{96} \, {\left(2 i \, x^{3} + x\right)} e^{\left(-3 i \, x^{2}\right)}"," ",0,"-(1/1152*I + 1/1152)*sqrt(6)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(6)*x) + (1/1152*I - 1/1152)*sqrt(6)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(6)*x) + (3/128*I + 3/128)*sqrt(2)*sqrt(pi)*erf((1/2*I - 1/2)*sqrt(2)*x) - (3/128*I - 3/128)*sqrt(2)*sqrt(pi)*erf(-(1/2*I + 1/2)*sqrt(2)*x) - 1/96*(-2*I*x^3 + x)*e^(3*I*x^2) - 1/32*(2*I*x^3 - 3*x)*e^(I*x^2) - 1/32*(-2*I*x^3 - 3*x)*e^(-I*x^2) - 1/96*(2*I*x^3 + x)*e^(-3*I*x^2)","C",0
33,1,52,0,0.505045," ","integrate(x*sin(b*x^2+a)^7,x, algorithm=""giac"")","\frac{5 \, \cos\left(b x^{2} + a\right)^{7} - 21 \, \cos\left(b x^{2} + a\right)^{5} + 35 \, \cos\left(b x^{2} + a\right)^{3} - 35 \, \cos\left(b x^{2} + a\right)}{70 \, b}"," ",0,"1/70*(5*cos(b*x^2 + a)^7 - 21*cos(b*x^2 + a)^5 + 35*cos(b*x^2 + a)^3 - 35*cos(b*x^2 + a))/b","A",0
34,1,39,0,0.384564," ","integrate((1+sin(x^2))^2/x^3,x, algorithm=""giac"")","\frac{4 \, x^{2} \operatorname{Ci}\left(x^{2}\right) + 2 \, x^{2} \operatorname{Si}\left(2 \, x^{2}\right) + \cos\left(2 \, x^{2}\right) - 4 \, \sin\left(x^{2}\right) - 3}{4 \, x^{2}}"," ",0,"1/4*(4*x^2*cos_integral(x^2) + 2*x^2*sin_integral(2*x^2) + cos(2*x^2) - 4*sin(x^2) - 3)/x^2","A",0
35,0,0,0,0.000000," ","integrate(x^5/(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\int \frac{x^{5}}{b \sin\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(x^5/(b*sin(d*x^2 + c) + a), x)","F",0
36,0,0,0,0.000000," ","integrate(x^3/(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\int \frac{x^{3}}{b \sin\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(x^3/(b*sin(d*x^2 + c) + a), x)","F",0
37,1,63,0,0.372209," ","integrate(x/(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\frac{\pi \left \lfloor \frac{d x^{2} + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} d}"," ",0,"(pi*floor(1/2*(d*x^2 + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x^2 + 1/2*c) + b)/sqrt(a^2 - b^2)))/(sqrt(a^2 - b^2)*d)","A",0
38,0,0,0,0.000000," ","integrate(1/x/(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{2} + c\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^2 + c) + a)*x), x)","F",0
39,0,0,0,0.000000," ","integrate(1/x^3/(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{2} + c\right) + a\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^2 + c) + a)*x^3), x)","F",0
40,0,0,0,0.000000," ","integrate(x^2/(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\int \frac{x^{2}}{b \sin\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(x^2/(b*sin(d*x^2 + c) + a), x)","F",0
41,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\int \frac{1}{b \sin\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(1/(b*sin(d*x^2 + c) + a), x)","F",0
42,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{2} + c\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^2 + c) + a)*x^2), x)","F",0
43,0,0,0,0.000000," ","integrate(x^5/(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{x^{5}}{{\left(b \sin\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^5/(b*sin(d*x^2 + c) + a)^2, x)","F",0
44,0,0,0,0.000000," ","integrate(x^3/(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{x^{3}}{{\left(b \sin\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^3/(b*sin(d*x^2 + c) + a)^2, x)","F",0
45,1,144,0,0.430022," ","integrate(x/(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\frac{{\left(\pi \left \lfloor \frac{d x^{2} + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)} a}{{\left(a^{2} d - b^{2} d\right)} \sqrt{a^{2} - b^{2}}} + \frac{b^{2} \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right) + a b}{{\left(a^{3} d - a b^{2} d\right)} {\left(a \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right)^{2} + 2 \, b \tan\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right) + a\right)}}"," ",0,"(pi*floor(1/2*(d*x^2 + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x^2 + 1/2*c) + b)/sqrt(a^2 - b^2)))*a/((a^2*d - b^2*d)*sqrt(a^2 - b^2)) + (b^2*tan(1/2*d*x^2 + 1/2*c) + a*b)/((a^3*d - a*b^2*d)*(a*tan(1/2*d*x^2 + 1/2*c)^2 + 2*b*tan(1/2*d*x^2 + 1/2*c) + a))","A",0
46,0,0,0,0.000000," ","integrate(1/x/(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{2} + c\right) + a\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^2 + c) + a)^2*x), x)","F",0
47,0,0,0,0.000000," ","integrate(1/x^3/(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{2} + c\right) + a\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^2 + c) + a)^2*x^3), x)","F",0
48,0,0,0,0.000000," ","integrate(x^2/(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b \sin\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^2/(b*sin(d*x^2 + c) + a)^2, x)","F",0
49,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((b*sin(d*x^2 + c) + a)^(-2), x)","F",0
50,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{2} + c\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^2 + c) + a)^2*x^2), x)","F",0
51,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sin(d*x^2+c))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} {\left(b \sin\left(d x^{2} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*sin(d*x^2 + c) + a)^p, x)","F",0
52,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sin(d*x^2+c))^3,x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{2} + c\right) + a\right)}^{3} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((b*sin(d*x^2 + c) + a)^3*(e*x)^m, x)","F",0
53,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{2} + c\right) + a\right)}^{2} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((b*sin(d*x^2 + c) + a)^2*(e*x)^m, x)","F",0
54,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{2} + c\right) + a\right)} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((b*sin(d*x^2 + c) + a)*(e*x)^m, x)","F",0
55,0,0,0,0.000000," ","integrate((e*x)^m/(a+b*sin(d*x^2+c)),x, algorithm=""giac"")","\int \frac{\left(e x\right)^{m}}{b \sin\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate((e*x)^m/(b*sin(d*x^2 + c) + a), x)","F",0
56,0,0,0,0.000000," ","integrate((e*x)^m/(a+b*sin(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{m}}{{\left(b \sin\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x)^m/(b*sin(d*x^2 + c) + a)^2, x)","F",0
57,1,61,0,0.362566," ","integrate(x^5*(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\frac{\frac{{\left({\left(d x^{3} + c\right)}^{2} - 2 \, {\left(d x^{3} + c\right)} c\right)} a}{d} - \frac{2 \, {\left(d x^{3} \cos\left(d x^{3} + c\right) - \sin\left(d x^{3} + c\right)\right)} b}{d}}{6 \, d}"," ",0,"1/6*(((d*x^3 + c)^2 - 2*(d*x^3 + c)*c)*a/d - 2*(d*x^3*cos(d*x^3 + c) - sin(d*x^3 + c))*b/d)/d","A",0
58,1,26,0,0.439551," ","integrate(x^2*(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\frac{{\left(d x^{3} + c\right)} a - b \cos\left(d x^{3} + c\right)}{3 \, d}"," ",0,"1/3*((d*x^3 + c)*a - b*cos(d*x^3 + c))/d","A",0
59,1,32,0,0.407419," ","integrate((a+b*sin(d*x^3+c))/x,x, algorithm=""giac"")","\frac{1}{3} \, b \operatorname{Ci}\left(d x^{3}\right) \sin\left(c\right) + \frac{1}{3} \, b \cos\left(c\right) \operatorname{Si}\left(d x^{3}\right) + \frac{1}{3} \, a \log\left(d x^{3}\right)"," ",0,"1/3*b*cos_integral(d*x^3)*sin(c) + 1/3*b*cos(c)*sin_integral(d*x^3) + 1/3*a*log(d*x^3)","A",0
60,1,99,0,0.591615," ","integrate((a+b*sin(d*x^3+c))/x^4,x, algorithm=""giac"")","\frac{{\left(d x^{3} + c\right)} b d^{2} \cos\left(c\right) \operatorname{Ci}\left(d x^{3}\right) - b c d^{2} \cos\left(c\right) \operatorname{Ci}\left(d x^{3}\right) - {\left(d x^{3} + c\right)} b d^{2} \sin\left(c\right) \operatorname{Si}\left(d x^{3}\right) + b c d^{2} \sin\left(c\right) \operatorname{Si}\left(d x^{3}\right) - b d^{2} \sin\left(d x^{3} + c\right) - a d^{2}}{3 \, d^{2} x^{3}}"," ",0,"1/3*((d*x^3 + c)*b*d^2*cos(c)*cos_integral(d*x^3) - b*c*d^2*cos(c)*cos_integral(d*x^3) - (d*x^3 + c)*b*d^2*sin(c)*sin_integral(d*x^3) + b*c*d^2*sin(c)*sin_integral(d*x^3) - b*d^2*sin(d*x^3 + c) - a*d^2)/(d^2*x^3)","B",0
61,0,0,0,0.000000," ","integrate(x^4*(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{3} + c\right) + a\right)} x^{4}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)*x^4, x)","F",0
62,0,0,0,0.000000," ","integrate(x*(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{3} + c\right) + a\right)} x\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)*x, x)","F",0
63,0,0,0,0.000000," ","integrate((a+b*sin(d*x^3+c))/x^2,x, algorithm=""giac"")","\int \frac{b \sin\left(d x^{3} + c\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)/x^2, x)","F",0
64,0,0,0,0.000000," ","integrate((a+b*sin(d*x^3+c))/x^5,x, algorithm=""giac"")","\int \frac{b \sin\left(d x^{3} + c\right) + a}{x^{5}}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)/x^5, x)","F",0
65,0,0,0,0.000000," ","integrate(x^3*(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{3} + c\right) + a\right)} x^{3}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)*x^3, x)","F",0
66,0,0,0,0.000000," ","integrate(a+b*sin(d*x^3+c),x, algorithm=""giac"")","\int b \sin\left(d x^{3} + c\right) + a\,{d x}"," ",0,"integrate(b*sin(d*x^3 + c) + a, x)","F",0
67,0,0,0,0.000000," ","integrate((a+b*sin(d*x^3+c))/x^3,x, algorithm=""giac"")","\int \frac{b \sin\left(d x^{3} + c\right) + a}{x^{3}}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)/x^3, x)","F",0
68,0,0,0,0.000000," ","integrate((a+b*sin(d*x^3+c))/x^6,x, algorithm=""giac"")","\int \frac{b \sin\left(d x^{3} + c\right) + a}{x^{6}}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)/x^6, x)","F",0
69,1,123,0,0.358710," ","integrate(x^5*(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\frac{\frac{4 \, {\left({\left(d x^{3} + c\right)}^{2} - 2 \, {\left(d x^{3} + c\right)} c\right)} a^{2}}{d} - \frac{16 \, {\left(d x^{3} \cos\left(d x^{3} + c\right) - \sin\left(d x^{3} + c\right)\right)} a b}{d} - \frac{{\left(2 \, d x^{3} \sin\left(2 \, d x^{3} + 2 \, c\right) - 2 \, {\left(d x^{3} + c\right)}^{2} + 4 \, {\left(d x^{3} + c\right)} c + \cos\left(2 \, d x^{3} + 2 \, c\right)\right)} b^{2}}{d}}{24 \, d}"," ",0,"1/24*(4*((d*x^3 + c)^2 - 2*(d*x^3 + c)*c)*a^2/d - 16*(d*x^3*cos(d*x^3 + c) - sin(d*x^3 + c))*a*b/d - (2*d*x^3*sin(2*d*x^3 + 2*c) - 2*(d*x^3 + c)^2 + 4*(d*x^3 + c)*c + cos(2*d*x^3 + 2*c))*b^2/d)/d","A",0
70,1,57,0,0.486180," ","integrate(x^2*(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\frac{4 \, {\left(d x^{3} + c\right)} a^{2} + {\left(2 \, d x^{3} + 2 \, c - \sin\left(2 \, d x^{3} + 2 \, c\right)\right)} b^{2} - 8 \, a b \cos\left(d x^{3} + c\right)}{12 \, d}"," ",0,"1/12*(4*(d*x^3 + c)*a^2 + (2*d*x^3 + 2*c - sin(2*d*x^3 + 2*c))*b^2 - 8*a*b*cos(d*x^3 + c))/d","A",0
71,1,79,0,0.748624," ","integrate((a+b*sin(d*x^3+c))^2/x,x, algorithm=""giac"")","-\frac{1}{6} \, b^{2} \cos\left(2 \, c\right) \operatorname{Ci}\left(2 \, d x^{3}\right) + \frac{2}{3} \, a b \operatorname{Ci}\left(d x^{3}\right) \sin\left(c\right) + \frac{2}{3} \, a b \cos\left(c\right) \operatorname{Si}\left(d x^{3}\right) - \frac{1}{6} \, b^{2} \sin\left(2 \, c\right) \operatorname{Si}\left(-2 \, d x^{3}\right) + \frac{1}{3} \, a^{2} \log\left(d x^{3}\right) + \frac{1}{6} \, b^{2} \log\left(d x^{3}\right)"," ",0,"-1/6*b^2*cos(2*c)*cos_integral(2*d*x^3) + 2/3*a*b*cos_integral(d*x^3)*sin(c) + 2/3*a*b*cos(c)*sin_integral(d*x^3) - 1/6*b^2*sin(2*c)*sin_integral(-2*d*x^3) + 1/3*a^2*log(d*x^3) + 1/6*b^2*log(d*x^3)","A",0
72,1,226,0,1.239758," ","integrate((a+b*sin(d*x^3+c))^2/x^4,x, algorithm=""giac"")","\frac{4 \, {\left(d x^{3} + c\right)} a b d^{2} \cos\left(c\right) \operatorname{Ci}\left(d x^{3}\right) - 4 \, a b c d^{2} \cos\left(c\right) \operatorname{Ci}\left(d x^{3}\right) + 2 \, {\left(d x^{3} + c\right)} b^{2} d^{2} \operatorname{Ci}\left(2 \, d x^{3}\right) \sin\left(2 \, c\right) - 2 \, b^{2} c d^{2} \operatorname{Ci}\left(2 \, d x^{3}\right) \sin\left(2 \, c\right) - 4 \, {\left(d x^{3} + c\right)} a b d^{2} \sin\left(c\right) \operatorname{Si}\left(d x^{3}\right) + 4 \, a b c d^{2} \sin\left(c\right) \operatorname{Si}\left(d x^{3}\right) - 2 \, {\left(d x^{3} + c\right)} b^{2} d^{2} \cos\left(2 \, c\right) \operatorname{Si}\left(-2 \, d x^{3}\right) + 2 \, b^{2} c d^{2} \cos\left(2 \, c\right) \operatorname{Si}\left(-2 \, d x^{3}\right) + b^{2} d^{2} \cos\left(2 \, d x^{3} + 2 \, c\right) - 4 \, a b d^{2} \sin\left(d x^{3} + c\right) - 2 \, a^{2} d^{2} - b^{2} d^{2}}{6 \, d^{2} x^{3}}"," ",0,"1/6*(4*(d*x^3 + c)*a*b*d^2*cos(c)*cos_integral(d*x^3) - 4*a*b*c*d^2*cos(c)*cos_integral(d*x^3) + 2*(d*x^3 + c)*b^2*d^2*cos_integral(2*d*x^3)*sin(2*c) - 2*b^2*c*d^2*cos_integral(2*d*x^3)*sin(2*c) - 4*(d*x^3 + c)*a*b*d^2*sin(c)*sin_integral(d*x^3) + 4*a*b*c*d^2*sin(c)*sin_integral(d*x^3) - 2*(d*x^3 + c)*b^2*d^2*cos(2*c)*sin_integral(-2*d*x^3) + 2*b^2*c*d^2*cos(2*c)*sin_integral(-2*d*x^3) + b^2*d^2*cos(2*d*x^3 + 2*c) - 4*a*b*d^2*sin(d*x^3 + c) - 2*a^2*d^2 - b^2*d^2)/(d^2*x^3)","B",0
73,0,0,0,0.000000," ","integrate(x^4*(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2} x^{4}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)^2*x^4, x)","F",0
74,0,0,0,0.000000," ","integrate(x*(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2} x\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)^2*x, x)","F",0
75,0,0,0,0.000000," ","integrate((a+b*sin(d*x^3+c))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)^2/x^2, x)","F",0
76,0,0,0,0.000000," ","integrate((a+b*sin(d*x^3+c))^2/x^5,x, algorithm=""giac"")","\int \frac{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2}}{x^{5}}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)^2/x^5, x)","F",0
77,0,0,0,0.000000," ","integrate(x^3*(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2} x^{3}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)^2*x^3, x)","F",0
78,0,0,0,0.000000," ","integrate((a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)^2, x)","F",0
79,0,0,0,0.000000," ","integrate((a+b*sin(d*x^3+c))^2/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2}}{x^{3}}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)^2/x^3, x)","F",0
80,0,0,0,0.000000," ","integrate((a+b*sin(d*x^3+c))^2/x^6,x, algorithm=""giac"")","\int \frac{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2}}{x^{6}}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)^2/x^6, x)","F",0
81,0,0,0,0.000000," ","integrate(x^5/(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int \frac{x^{5}}{b \sin\left(d x^{3} + c\right) + a}\,{d x}"," ",0,"integrate(x^5/(b*sin(d*x^3 + c) + a), x)","F",0
82,1,64,0,0.482711," ","integrate(x^2/(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\frac{2 \, {\left(\pi \left \lfloor \frac{d x^{3} + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x^{3} + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)}}{3 \, \sqrt{a^{2} - b^{2}} d}"," ",0,"2/3*(pi*floor(1/2*(d*x^3 + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x^3 + 1/2*c) + b)/sqrt(a^2 - b^2)))/(sqrt(a^2 - b^2)*d)","A",0
83,0,0,0,0.000000," ","integrate(1/x/(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{3} + c\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^3 + c) + a)*x), x)","F",0
84,0,0,0,0.000000," ","integrate(1/x^4/(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{3} + c\right) + a\right)} x^{4}}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^3 + c) + a)*x^4), x)","F",0
85,0,0,0,0.000000," ","integrate(x/(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int \frac{x}{b \sin\left(d x^{3} + c\right) + a}\,{d x}"," ",0,"integrate(x/(b*sin(d*x^3 + c) + a), x)","F",0
86,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{3} + c\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^3 + c) + a)*x^2), x)","F",0
87,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int \frac{1}{b \sin\left(d x^{3} + c\right) + a}\,{d x}"," ",0,"integrate(1/(b*sin(d*x^3 + c) + a), x)","F",0
88,0,0,0,0.000000," ","integrate(1/x^3/(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{3} + c\right) + a\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^3 + c) + a)*x^3), x)","F",0
89,0,0,0,0.000000," ","integrate(x^5/(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int \frac{x^{5}}{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^5/(b*sin(d*x^3 + c) + a)^2, x)","F",0
90,1,146,0,1.887025," ","integrate(x^2/(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\frac{2 \, {\left(\pi \left \lfloor \frac{d x^{3} + c}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, d x^{3} + \frac{1}{2} \, c\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)} a}{3 \, {\left(a^{2} d - b^{2} d\right)} \sqrt{a^{2} - b^{2}}} + \frac{2 \, {\left(b^{2} \tan\left(\frac{1}{2} \, d x^{3} + \frac{1}{2} \, c\right) + a b\right)}}{3 \, {\left(a^{3} d - a b^{2} d\right)} {\left(a \tan\left(\frac{1}{2} \, d x^{3} + \frac{1}{2} \, c\right)^{2} + 2 \, b \tan\left(\frac{1}{2} \, d x^{3} + \frac{1}{2} \, c\right) + a\right)}}"," ",0,"2/3*(pi*floor(1/2*(d*x^3 + c)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*d*x^3 + 1/2*c) + b)/sqrt(a^2 - b^2)))*a/((a^2*d - b^2*d)*sqrt(a^2 - b^2)) + 2/3*(b^2*tan(1/2*d*x^3 + 1/2*c) + a*b)/((a^3*d - a*b^2*d)*(a*tan(1/2*d*x^3 + 1/2*c)^2 + 2*b*tan(1/2*d*x^3 + 1/2*c) + a))","A",0
91,0,0,0,0.000000," ","integrate(1/x/(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^3 + c) + a)^2*x), x)","F",0
92,0,0,0,0.000000," ","integrate(1/x^4/(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^3 + c) + a)^2*x^4), x)","F",0
93,0,0,0,0.000000," ","integrate(x/(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int \frac{x}{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x/(b*sin(d*x^3 + c) + a)^2, x)","F",0
94,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^3 + c) + a)^2*x^2), x)","F",0
95,0,0,0,0.000000," ","integrate(1/(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)^(-2), x)","F",0
96,0,0,0,0.000000," ","integrate(1/x^3/(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate(1/((b*sin(d*x^3 + c) + a)^2*x^3), x)","F",0
97,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sin(d*x^3+c))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} {\left(b \sin\left(d x^{3} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*sin(d*x^3 + c) + a)^p, x)","F",0
98,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sin(d*x^3+c))^3,x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{3} + c\right) + a\right)}^{3} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)^3*(e*x)^m, x)","F",0
99,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)^2*(e*x)^m, x)","F",0
100,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int {\left(b \sin\left(d x^{3} + c\right) + a\right)} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((b*sin(d*x^3 + c) + a)*(e*x)^m, x)","F",0
101,0,0,0,0.000000," ","integrate((e*x)^m/(a+b*sin(d*x^3+c)),x, algorithm=""giac"")","\int \frac{\left(e x\right)^{m}}{b \sin\left(d x^{3} + c\right) + a}\,{d x}"," ",0,"integrate((e*x)^m/(b*sin(d*x^3 + c) + a), x)","F",0
102,0,0,0,0.000000," ","integrate((e*x)^m/(a+b*sin(d*x^3+c))^2,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{m}}{{\left(b \sin\left(d x^{3} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x)^m/(b*sin(d*x^3 + c) + a)^2, x)","F",0
103,1,400,0,0.470499," ","integrate(x^2*sin(a+b/x),x, algorithm=""giac"")","\frac{a^{3} b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right) + a^{3} b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right) - \frac{3 \, {\left(a x + b\right)} a^{2} b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right)}{x} - \frac{3 \, {\left(a x + b\right)} a^{2} b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right)}{x} + \frac{3 \, {\left(a x + b\right)}^{2} a b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right)}{x^{2}} + a^{2} b^{4} \sin\left(\frac{a x + b}{x}\right) + \frac{3 \, {\left(a x + b\right)}^{2} a b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right)}{x^{2}} + a b^{4} \cos\left(\frac{a x + b}{x}\right) - \frac{{\left(a x + b\right)}^{3} b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right)}{x^{3}} - \frac{2 \, {\left(a x + b\right)} a b^{4} \sin\left(\frac{a x + b}{x}\right)}{x} - \frac{{\left(a x + b\right)}^{3} b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right)}{x^{3}} - \frac{{\left(a x + b\right)} b^{4} \cos\left(\frac{a x + b}{x}\right)}{x} - 2 \, b^{4} \sin\left(\frac{a x + b}{x}\right) + \frac{{\left(a x + b\right)}^{2} b^{4} \sin\left(\frac{a x + b}{x}\right)}{x^{2}}}{6 \, {\left(a^{3} - \frac{3 \, {\left(a x + b\right)} a^{2}}{x} + \frac{3 \, {\left(a x + b\right)}^{2} a}{x^{2}} - \frac{{\left(a x + b\right)}^{3}}{x^{3}}\right)} b}"," ",0,"1/6*(a^3*b^4*cos(a)*cos_integral(-a + (a*x + b)/x) + a^3*b^4*sin(a)*sin_integral(a - (a*x + b)/x) - 3*(a*x + b)*a^2*b^4*cos(a)*cos_integral(-a + (a*x + b)/x)/x - 3*(a*x + b)*a^2*b^4*sin(a)*sin_integral(a - (a*x + b)/x)/x + 3*(a*x + b)^2*a*b^4*cos(a)*cos_integral(-a + (a*x + b)/x)/x^2 + a^2*b^4*sin((a*x + b)/x) + 3*(a*x + b)^2*a*b^4*sin(a)*sin_integral(a - (a*x + b)/x)/x^2 + a*b^4*cos((a*x + b)/x) - (a*x + b)^3*b^4*cos(a)*cos_integral(-a + (a*x + b)/x)/x^3 - 2*(a*x + b)*a*b^4*sin((a*x + b)/x)/x - (a*x + b)^3*b^4*sin(a)*sin_integral(a - (a*x + b)/x)/x^3 - (a*x + b)*b^4*cos((a*x + b)/x)/x - 2*b^4*sin((a*x + b)/x) + (a*x + b)^2*b^4*sin((a*x + b)/x)/x^2)/((a^3 - 3*(a*x + b)*a^2/x + 3*(a*x + b)^2*a/x^2 - (a*x + b)^3/x^3)*b)","B",0
104,1,251,0,0.708105," ","integrate(x*sin(a+b/x),x, algorithm=""giac"")","\frac{a^{2} b^{3} \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right) \sin\left(a\right) - a^{2} b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right) - \frac{2 \, {\left(a x + b\right)} a b^{3} \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right) \sin\left(a\right)}{x} + \frac{2 \, {\left(a x + b\right)} a b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right)}{x} - a b^{3} \cos\left(\frac{a x + b}{x}\right) + \frac{{\left(a x + b\right)}^{2} b^{3} \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right) \sin\left(a\right)}{x^{2}} - \frac{{\left(a x + b\right)}^{2} b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right)}{x^{2}} + \frac{{\left(a x + b\right)} b^{3} \cos\left(\frac{a x + b}{x}\right)}{x} + b^{3} \sin\left(\frac{a x + b}{x}\right)}{2 \, {\left(a^{2} - \frac{2 \, {\left(a x + b\right)} a}{x} + \frac{{\left(a x + b\right)}^{2}}{x^{2}}\right)} b}"," ",0,"1/2*(a^2*b^3*cos_integral(-a + (a*x + b)/x)*sin(a) - a^2*b^3*cos(a)*sin_integral(a - (a*x + b)/x) - 2*(a*x + b)*a*b^3*cos_integral(-a + (a*x + b)/x)*sin(a)/x + 2*(a*x + b)*a*b^3*cos(a)*sin_integral(a - (a*x + b)/x)/x - a*b^3*cos((a*x + b)/x) + (a*x + b)^2*b^3*cos_integral(-a + (a*x + b)/x)*sin(a)/x^2 - (a*x + b)^2*b^3*cos(a)*sin_integral(a - (a*x + b)/x)/x^2 + (a*x + b)*b^3*cos((a*x + b)/x)/x + b^3*sin((a*x + b)/x))/((a^2 - 2*(a*x + b)*a/x + (a*x + b)^2/x^2)*b)","B",0
105,1,132,0,0.457805," ","integrate(sin(a+b/x),x, algorithm=""giac"")","-\frac{a b^{2} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right) + a b^{2} \sin\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right) - \frac{{\left(a x + b\right)} b^{2} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right)}{x} - \frac{{\left(a x + b\right)} b^{2} \sin\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right)}{x} + b^{2} \sin\left(\frac{a x + b}{x}\right)}{{\left(a - \frac{a x + b}{x}\right)} b}"," ",0,"-(a*b^2*cos(a)*cos_integral(-a + (a*x + b)/x) + a*b^2*sin(a)*sin_integral(a - (a*x + b)/x) - (a*x + b)*b^2*cos(a)*cos_integral(-a + (a*x + b)/x)/x - (a*x + b)*b^2*sin(a)*sin_integral(a - (a*x + b)/x)/x + b^2*sin((a*x + b)/x))/((a - (a*x + b)/x)*b)","B",0
106,1,42,0,0.419028," ","integrate(sin(a+b/x)/x,x, algorithm=""giac"")","-\frac{b \operatorname{Ci}\left(-a + \frac{a x + b}{x}\right) \sin\left(a\right) - b \cos\left(a\right) \operatorname{Si}\left(a - \frac{a x + b}{x}\right)}{b}"," ",0,"-(b*cos_integral(-a + (a*x + b)/x)*sin(a) - b*cos(a)*sin_integral(a - (a*x + b)/x))/b","A",0
107,1,14,0,0.429881," ","integrate(sin(a+b/x)/x^2,x, algorithm=""giac"")","\frac{\cos\left(\frac{a x + b}{x}\right)}{b}"," ",0,"cos((a*x + b)/x)/b","A",0
108,1,48,0,1.585238," ","integrate(sin(a+b/x)/x^3,x, algorithm=""giac"")","-\frac{a \cos\left(\frac{a x + b}{x}\right) - \frac{{\left(a x + b\right)} \cos\left(\frac{a x + b}{x}\right)}{x} + \sin\left(\frac{a x + b}{x}\right)}{b^{2}}"," ",0,"-(a*cos((a*x + b)/x) - (a*x + b)*cos((a*x + b)/x)/x + sin((a*x + b)/x))/b^2","A",0
109,1,106,0,1.153251," ","integrate(sin(a+b/x)/x^4,x, algorithm=""giac"")","\frac{a^{2} \cos\left(\frac{a x + b}{x}\right) - \frac{2 \, {\left(a x + b\right)} a \cos\left(\frac{a x + b}{x}\right)}{x} + 2 \, a \sin\left(\frac{a x + b}{x}\right) + \frac{{\left(a x + b\right)}^{2} \cos\left(\frac{a x + b}{x}\right)}{x^{2}} - \frac{2 \, {\left(a x + b\right)} \sin\left(\frac{a x + b}{x}\right)}{x} - 2 \, \cos\left(\frac{a x + b}{x}\right)}{b^{3}}"," ",0,"(a^2*cos((a*x + b)/x) - 2*(a*x + b)*a*cos((a*x + b)/x)/x + 2*a*sin((a*x + b)/x) + (a*x + b)^2*cos((a*x + b)/x)/x^2 - 2*(a*x + b)*sin((a*x + b)/x)/x - 2*cos((a*x + b)/x))/b^3","B",0
110,1,191,0,1.145568," ","integrate(sin(a+b/x)/x^5,x, algorithm=""giac"")","-\frac{a^{3} \cos\left(\frac{a x + b}{x}\right) - \frac{3 \, {\left(a x + b\right)} a^{2} \cos\left(\frac{a x + b}{x}\right)}{x} + 3 \, a^{2} \sin\left(\frac{a x + b}{x}\right) - 6 \, a \cos\left(\frac{a x + b}{x}\right) + \frac{3 \, {\left(a x + b\right)}^{2} a \cos\left(\frac{a x + b}{x}\right)}{x^{2}} - \frac{6 \, {\left(a x + b\right)} a \sin\left(\frac{a x + b}{x}\right)}{x} - \frac{{\left(a x + b\right)}^{3} \cos\left(\frac{a x + b}{x}\right)}{x^{3}} + \frac{6 \, {\left(a x + b\right)} \cos\left(\frac{a x + b}{x}\right)}{x} + \frac{3 \, {\left(a x + b\right)}^{2} \sin\left(\frac{a x + b}{x}\right)}{x^{2}} - 6 \, \sin\left(\frac{a x + b}{x}\right)}{b^{4}}"," ",0,"-(a^3*cos((a*x + b)/x) - 3*(a*x + b)*a^2*cos((a*x + b)/x)/x + 3*a^2*sin((a*x + b)/x) - 6*a*cos((a*x + b)/x) + 3*(a*x + b)^2*a*cos((a*x + b)/x)/x^2 - 6*(a*x + b)*a*sin((a*x + b)/x)/x - (a*x + b)^3*cos((a*x + b)/x)/x^3 + 6*(a*x + b)*cos((a*x + b)/x)/x + 3*(a*x + b)^2*sin((a*x + b)/x)/x^2 - 6*sin((a*x + b)/x))/b^4","B",0
111,1,442,0,1.124781," ","integrate(x^2*sin(a+b/x)^2,x, algorithm=""giac"")","\frac{4 \, a^{3} b^{4} \operatorname{Ci}\left(-2 \, a + \frac{2 \, {\left(a x + b\right)}}{x}\right) \sin\left(2 \, a\right) - 4 \, a^{3} b^{4} \cos\left(2 \, a\right) \operatorname{Si}\left(2 \, a - \frac{2 \, {\left(a x + b\right)}}{x}\right) - \frac{12 \, {\left(a x + b\right)} a^{2} b^{4} \operatorname{Ci}\left(-2 \, a + \frac{2 \, {\left(a x + b\right)}}{x}\right) \sin\left(2 \, a\right)}{x} + \frac{12 \, {\left(a x + b\right)} a^{2} b^{4} \cos\left(2 \, a\right) \operatorname{Si}\left(2 \, a - \frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} - 2 \, a^{2} b^{4} \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) + \frac{12 \, {\left(a x + b\right)}^{2} a b^{4} \operatorname{Ci}\left(-2 \, a + \frac{2 \, {\left(a x + b\right)}}{x}\right) \sin\left(2 \, a\right)}{x^{2}} - \frac{12 \, {\left(a x + b\right)}^{2} a b^{4} \cos\left(2 \, a\right) \operatorname{Si}\left(2 \, a - \frac{2 \, {\left(a x + b\right)}}{x}\right)}{x^{2}} + \frac{4 \, {\left(a x + b\right)} a b^{4} \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} - \frac{4 \, {\left(a x + b\right)}^{3} b^{4} \operatorname{Ci}\left(-2 \, a + \frac{2 \, {\left(a x + b\right)}}{x}\right) \sin\left(2 \, a\right)}{x^{3}} + a b^{4} \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) + \frac{4 \, {\left(a x + b\right)}^{3} b^{4} \cos\left(2 \, a\right) \operatorname{Si}\left(2 \, a - \frac{2 \, {\left(a x + b\right)}}{x}\right)}{x^{3}} + b^{4} \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) - \frac{2 \, {\left(a x + b\right)}^{2} b^{4} \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x^{2}} - \frac{{\left(a x + b\right)} b^{4} \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} - b^{4}}{6 \, {\left(a^{3} - \frac{3 \, {\left(a x + b\right)} a^{2}}{x} + \frac{3 \, {\left(a x + b\right)}^{2} a}{x^{2}} - \frac{{\left(a x + b\right)}^{3}}{x^{3}}\right)} b}"," ",0,"1/6*(4*a^3*b^4*cos_integral(-2*a + 2*(a*x + b)/x)*sin(2*a) - 4*a^3*b^4*cos(2*a)*sin_integral(2*a - 2*(a*x + b)/x) - 12*(a*x + b)*a^2*b^4*cos_integral(-2*a + 2*(a*x + b)/x)*sin(2*a)/x + 12*(a*x + b)*a^2*b^4*cos(2*a)*sin_integral(2*a - 2*(a*x + b)/x)/x - 2*a^2*b^4*cos(2*(a*x + b)/x) + 12*(a*x + b)^2*a*b^4*cos_integral(-2*a + 2*(a*x + b)/x)*sin(2*a)/x^2 - 12*(a*x + b)^2*a*b^4*cos(2*a)*sin_integral(2*a - 2*(a*x + b)/x)/x^2 + 4*(a*x + b)*a*b^4*cos(2*(a*x + b)/x)/x - 4*(a*x + b)^3*b^4*cos_integral(-2*a + 2*(a*x + b)/x)*sin(2*a)/x^3 + a*b^4*sin(2*(a*x + b)/x) + 4*(a*x + b)^3*b^4*cos(2*a)*sin_integral(2*a - 2*(a*x + b)/x)/x^3 + b^4*cos(2*(a*x + b)/x) - 2*(a*x + b)^2*b^4*cos(2*(a*x + b)/x)/x^2 - (a*x + b)*b^4*sin(2*(a*x + b)/x)/x - b^4)/((a^3 - 3*(a*x + b)*a^2/x + 3*(a*x + b)^2*a/x^2 - (a*x + b)^3/x^3)*b)","B",0
112,1,283,0,0.372567," ","integrate(x*sin(a+b/x)^2,x, algorithm=""giac"")","-\frac{4 \, a^{2} b^{3} \cos\left(2 \, a\right) \operatorname{Ci}\left(-2 \, a + \frac{2 \, {\left(a x + b\right)}}{x}\right) + 4 \, a^{2} b^{3} \sin\left(2 \, a\right) \operatorname{Si}\left(2 \, a - \frac{2 \, {\left(a x + b\right)}}{x}\right) - \frac{8 \, {\left(a x + b\right)} a b^{3} \cos\left(2 \, a\right) \operatorname{Ci}\left(-2 \, a + \frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} - \frac{8 \, {\left(a x + b\right)} a b^{3} \sin\left(2 \, a\right) \operatorname{Si}\left(2 \, a - \frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} + \frac{4 \, {\left(a x + b\right)}^{2} b^{3} \cos\left(2 \, a\right) \operatorname{Ci}\left(-2 \, a + \frac{2 \, {\left(a x + b\right)}}{x}\right)}{x^{2}} + 2 \, a b^{3} \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) + \frac{4 \, {\left(a x + b\right)}^{2} b^{3} \sin\left(2 \, a\right) \operatorname{Si}\left(2 \, a - \frac{2 \, {\left(a x + b\right)}}{x}\right)}{x^{2}} + b^{3} \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) - \frac{2 \, {\left(a x + b\right)} b^{3} \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} - b^{3}}{4 \, {\left(a^{2} - \frac{2 \, {\left(a x + b\right)} a}{x} + \frac{{\left(a x + b\right)}^{2}}{x^{2}}\right)} b}"," ",0,"-1/4*(4*a^2*b^3*cos(2*a)*cos_integral(-2*a + 2*(a*x + b)/x) + 4*a^2*b^3*sin(2*a)*sin_integral(2*a - 2*(a*x + b)/x) - 8*(a*x + b)*a*b^3*cos(2*a)*cos_integral(-2*a + 2*(a*x + b)/x)/x - 8*(a*x + b)*a*b^3*sin(2*a)*sin_integral(2*a - 2*(a*x + b)/x)/x + 4*(a*x + b)^2*b^3*cos(2*a)*cos_integral(-2*a + 2*(a*x + b)/x)/x^2 + 2*a*b^3*sin(2*(a*x + b)/x) + 4*(a*x + b)^2*b^3*sin(2*a)*sin_integral(2*a - 2*(a*x + b)/x)/x^2 + b^3*cos(2*(a*x + b)/x) - 2*(a*x + b)*b^3*sin(2*(a*x + b)/x)/x - b^3)/((a^2 - 2*(a*x + b)*a/x + (a*x + b)^2/x^2)*b)","B",0
113,1,153,0,0.371645," ","integrate(sin(a+b/x)^2,x, algorithm=""giac"")","-\frac{2 \, a b^{2} \operatorname{Ci}\left(-2 \, a + \frac{2 \, {\left(a x + b\right)}}{x}\right) \sin\left(2 \, a\right) - 2 \, a b^{2} \cos\left(2 \, a\right) \operatorname{Si}\left(2 \, a - \frac{2 \, {\left(a x + b\right)}}{x}\right) - \frac{2 \, {\left(a x + b\right)} b^{2} \operatorname{Ci}\left(-2 \, a + \frac{2 \, {\left(a x + b\right)}}{x}\right) \sin\left(2 \, a\right)}{x} + \frac{2 \, {\left(a x + b\right)} b^{2} \cos\left(2 \, a\right) \operatorname{Si}\left(2 \, a - \frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} - b^{2} \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) + b^{2}}{2 \, {\left(a - \frac{a x + b}{x}\right)} b}"," ",0,"-1/2*(2*a*b^2*cos_integral(-2*a + 2*(a*x + b)/x)*sin(2*a) - 2*a*b^2*cos(2*a)*sin_integral(2*a - 2*(a*x + b)/x) - 2*(a*x + b)*b^2*cos_integral(-2*a + 2*(a*x + b)/x)*sin(2*a)/x + 2*(a*x + b)*b^2*cos(2*a)*sin_integral(2*a - 2*(a*x + b)/x)/x - b^2*cos(2*(a*x + b)/x) + b^2)/((a - (a*x + b)/x)*b)","B",0
114,1,65,0,0.562643," ","integrate(sin(a+b/x)^2/x,x, algorithm=""giac"")","\frac{b \cos\left(2 \, a\right) \operatorname{Ci}\left(-2 \, a + \frac{2 \, {\left(a x + b\right)}}{x}\right) + b \sin\left(2 \, a\right) \operatorname{Si}\left(2 \, a - \frac{2 \, {\left(a x + b\right)}}{x}\right) - b \log\left(-a + \frac{a x + b}{x}\right)}{2 \, b}"," ",0,"1/2*(b*cos(2*a)*cos_integral(-2*a + 2*(a*x + b)/x) + b*sin(2*a)*sin_integral(2*a - 2*(a*x + b)/x) - b*log(-a + (a*x + b)/x))/b","B",0
115,1,29,0,0.712433," ","integrate(sin(a+b/x)^2/x^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(a x + b\right)}}{x} - \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{4 \, b}"," ",0,"-1/4*(2*(a*x + b)/x - sin(2*(a*x + b)/x))/b","A",0
116,1,77,0,0.711841," ","integrate(sin(a+b/x)^2/x^3,x, algorithm=""giac"")","-\frac{2 \, a \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) - \frac{4 \, {\left(a x + b\right)} a}{x} - \frac{2 \, {\left(a x + b\right)} \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} + \frac{2 \, {\left(a x + b\right)}^{2}}{x^{2}} - \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{8 \, b^{2}}"," ",0,"-1/8*(2*a*sin(2*(a*x + b)/x) - 4*(a*x + b)*a/x - 2*(a*x + b)*sin(2*(a*x + b)/x)/x + 2*(a*x + b)^2/x^2 - cos(2*(a*x + b)/x))/b^2","A",0
117,1,153,0,0.380107," ","integrate(sin(a+b/x)^2/x^4,x, algorithm=""giac"")","\frac{6 \, a^{2} \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) - \frac{12 \, {\left(a x + b\right)} a^{2}}{x} - 6 \, a \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) - \frac{12 \, {\left(a x + b\right)} a \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} + \frac{12 \, {\left(a x + b\right)}^{2} a}{x^{2}} + \frac{6 \, {\left(a x + b\right)} \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} + \frac{6 \, {\left(a x + b\right)}^{2} \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x^{2}} - \frac{4 \, {\left(a x + b\right)}^{3}}{x^{3}} - 3 \, \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{24 \, b^{3}}"," ",0,"1/24*(6*a^2*sin(2*(a*x + b)/x) - 12*(a*x + b)*a^2/x - 6*a*cos(2*(a*x + b)/x) - 12*(a*x + b)*a*sin(2*(a*x + b)/x)/x + 12*(a*x + b)^2*a/x^2 + 6*(a*x + b)*cos(2*(a*x + b)/x)/x + 6*(a*x + b)^2*sin(2*(a*x + b)/x)/x^2 - 4*(a*x + b)^3/x^3 - 3*sin(2*(a*x + b)/x))/b^3","A",0
118,1,255,0,0.693215," ","integrate(sin(a+b/x)^2/x^5,x, algorithm=""giac"")","-\frac{4 \, a^{3} \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) - \frac{8 \, {\left(a x + b\right)} a^{3}}{x} - 6 \, a^{2} \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) - \frac{12 \, {\left(a x + b\right)} a^{2} \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} + \frac{12 \, {\left(a x + b\right)}^{2} a^{2}}{x^{2}} + \frac{12 \, {\left(a x + b\right)} a \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} - 6 \, a \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right) + \frac{12 \, {\left(a x + b\right)}^{2} a \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x^{2}} - \frac{8 \, {\left(a x + b\right)}^{3} a}{x^{3}} - \frac{6 \, {\left(a x + b\right)}^{2} \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x^{2}} - \frac{4 \, {\left(a x + b\right)}^{3} \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x^{3}} + \frac{6 \, {\left(a x + b\right)} \sin\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{x} + \frac{2 \, {\left(a x + b\right)}^{4}}{x^{4}} + 3 \, \cos\left(\frac{2 \, {\left(a x + b\right)}}{x}\right)}{16 \, b^{4}}"," ",0,"-1/16*(4*a^3*sin(2*(a*x + b)/x) - 8*(a*x + b)*a^3/x - 6*a^2*cos(2*(a*x + b)/x) - 12*(a*x + b)*a^2*sin(2*(a*x + b)/x)/x + 12*(a*x + b)^2*a^2/x^2 + 12*(a*x + b)*a*cos(2*(a*x + b)/x)/x - 6*a*sin(2*(a*x + b)/x) + 12*(a*x + b)^2*a*sin(2*(a*x + b)/x)/x^2 - 8*(a*x + b)^3*a/x^3 - 6*(a*x + b)^2*cos(2*(a*x + b)/x)/x^2 - 4*(a*x + b)^3*sin(2*(a*x + b)/x)/x^3 + 6*(a*x + b)*sin(2*(a*x + b)/x)/x + 2*(a*x + b)^4/x^4 + 3*cos(2*(a*x + b)/x))/b^4","B",0
119,0,0,0,0.000000," ","integrate(sin(a+b/x^2),x, algorithm=""giac"")","\int \sin\left(a + \frac{b}{x^{2}}\right)\,{d x}"," ",0,"integrate(sin(a + b/x^2), x)","F",0
120,0,0,0,0.000000," ","integrate(sin(a+b/x^2)/x,x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{x^{2}}\right)}{x}\,{d x}"," ",0,"integrate(sin(a + b/x^2)/x, x)","F",0
121,0,0,0,0.000000," ","integrate(sin(a+b/x^2)/x^2,x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{x^{2}}\right)}{x^{2}}\,{d x}"," ",0,"integrate(sin(a + b/x^2)/x^2, x)","F",0
122,0,0,0,0.000000," ","integrate(sin(a+b/x^2)/x^3,x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{x^{2}}\right)}{x^{3}}\,{d x}"," ",0,"integrate(sin(a + b/x^2)/x^3, x)","F",0
123,0,0,0,0.000000," ","integrate(sin(a+b/x^2)/x^4,x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{x^{2}}\right)}{x^{4}}\,{d x}"," ",0,"integrate(sin(a + b/x^2)/x^4, x)","F",0
124,1,6,0,0.508279," ","integrate(sin(x^(1/2))/x^(1/2),x, algorithm=""giac"")","-2 \, \cos\left(\sqrt{x}\right)"," ",0,"-2*cos(sqrt(x))","A",0
125,1,15,0,0.356211," ","integrate(sin(x^(1/2))^3/x^(1/2),x, algorithm=""giac"")","\frac{2}{3} \, \cos\left(\sqrt{x}\right)^{3} - 2 \, \cos\left(\sqrt{x}\right)"," ",0,"2/3*cos(sqrt(x))^3 - 2*cos(sqrt(x))","A",0
126,1,16,0,0.832321," ","integrate(sin(x^(1/2)),x, algorithm=""giac"")","-2 \, \sqrt{x} \cos\left(\sqrt{x}\right) + 2 \, \sin\left(\sqrt{x}\right)"," ",0,"-2*sqrt(x)*cos(sqrt(x)) + 2*sin(sqrt(x))","A",0
127,1,30,0,0.304970," ","integrate(sin(x^(1/3))^2,x, algorithm=""giac"")","-\frac{3}{8} \, {\left(2 \, x^{\frac{2}{3}} - 1\right)} \sin\left(2 \, x^{\frac{1}{3}}\right) - \frac{3}{4} \, x^{\frac{1}{3}} \cos\left(2 \, x^{\frac{1}{3}}\right) + \frac{1}{2} \, x"," ",0,"-3/8*(2*x^(2/3) - 1)*sin(2*x^(1/3)) - 3/4*x^(1/3)*cos(2*x^(1/3)) + 1/2*x","A",0
128,1,47,0,0.662960," ","integrate(sin(x^(1/3))^3,x, algorithm=""giac"")","\frac{1}{36} \, {\left(9 \, x^{\frac{2}{3}} - 2\right)} \cos\left(3 \, x^{\frac{1}{3}}\right) - \frac{9}{4} \, {\left(x^{\frac{2}{3}} - 2\right)} \cos\left(x^{\frac{1}{3}}\right) - \frac{1}{6} \, x^{\frac{1}{3}} \sin\left(3 \, x^{\frac{1}{3}}\right) + \frac{9}{2} \, x^{\frac{1}{3}} \sin\left(x^{\frac{1}{3}}\right)"," ",0,"1/36*(9*x^(2/3) - 2)*cos(3*x^(1/3)) - 9/4*(x^(2/3) - 2)*cos(x^(1/3)) - 1/6*x^(1/3)*sin(3*x^(1/3)) + 9/2*x^(1/3)*sin(x^(1/3))","A",0
129,0,0,0,0.000000," ","integrate((e*x)^m*(b*sin(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} \left(b \sin\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*sin(d*x^n + c))^p, x)","F",0
130,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sin(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} {\left(b \sin\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*sin(d*x^n + c) + a)^p, x)","F",0
131,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(b*sin(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{n - 1} \left(b \sin\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^(n - 1)*(b*sin(d*x^n + c))^p, x)","F",0
132,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(b*sin(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{2 \, n - 1} \left(b \sin\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)*(b*sin(d*x^n + c))^p, x)","F",0
133,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(a+b*sin(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{n - 1} {\left(b \sin\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^(n - 1)*(b*sin(d*x^n + c) + a)^p, x)","F",0
134,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*sin(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{2 \, n - 1} {\left(b \sin\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)*(b*sin(d*x^n + c) + a)^p, x)","F",0
135,0,0,0,0.000000," ","integrate(sin(a+b*x^n)/x,x, algorithm=""giac"")","\int \frac{\sin\left(b x^{n} + a\right)}{x}\,{d x}"," ",0,"integrate(sin(b*x^n + a)/x, x)","F",0
136,0,0,0,0.000000," ","integrate(sin(a+b*x^n)^2/x,x, algorithm=""giac"")","\int \frac{\sin\left(b x^{n} + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(sin(b*x^n + a)^2/x, x)","F",0
137,0,0,0,0.000000," ","integrate(sin(a+b*x^n)^3/x,x, algorithm=""giac"")","\int \frac{\sin\left(b x^{n} + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(sin(b*x^n + a)^3/x, x)","F",0
138,0,0,0,0.000000," ","integrate(sin(a+b*x^n)^4/x,x, algorithm=""giac"")","\int \frac{\sin\left(b x^{n} + a\right)^{4}}{x}\,{d x}"," ",0,"integrate(sin(b*x^n + a)^4/x, x)","F",0
139,0,0,0,0.000000," ","integrate(sin(a+b*x^n),x, algorithm=""giac"")","\int \sin\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(sin(b*x^n + a), x)","F",0
140,0,0,0,0.000000," ","integrate(sin(a+b*x^n)^2,x, algorithm=""giac"")","\int \sin\left(b x^{n} + a\right)^{2}\,{d x}"," ",0,"integrate(sin(b*x^n + a)^2, x)","F",0
141,0,0,0,0.000000," ","integrate(sin(a+b*x^n)^3,x, algorithm=""giac"")","\int \sin\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(sin(b*x^n + a)^3, x)","F",0
142,0,0,0,0.000000," ","integrate(x^m*sin(a+b*x^n),x, algorithm=""giac"")","\int x^{m} \sin\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^m*sin(b*x^n + a), x)","F",0
143,0,0,0,0.000000," ","integrate(x^m*sin(a+b*x^n)^2,x, algorithm=""giac"")","\int x^{m} \sin\left(b x^{n} + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*sin(b*x^n + a)^2, x)","F",0
144,0,0,0,0.000000," ","integrate(x^m*sin(a+b*x^n)^3,x, algorithm=""giac"")","\int x^{m} \sin\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*sin(b*x^n + a)^3, x)","F",0
145,0,0,0,0.000000," ","integrate(x^(-1+2*n)*sin(a+b*x^n),x, algorithm=""giac"")","\int x^{2 \, n - 1} \sin\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^(2*n - 1)*sin(b*x^n + a), x)","F",0
146,0,0,0,0.000000," ","integrate(x^(-1+2*n)*cos(a+b*x^n),x, algorithm=""giac"")","\int x^{2 \, n - 1} \cos\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^(2*n - 1)*cos(b*x^n + a), x)","F",0
147,0,0,0,0.000000," ","integrate(x^(-1-n)*sin(a+b*x^n),x, algorithm=""giac"")","\int x^{-n - 1} \sin\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^(-n - 1)*sin(b*x^n + a), x)","F",0
148,0,0,0,0.000000," ","integrate(x^(-1-n)*sin(a+b*x^n)^2,x, algorithm=""giac"")","\int x^{-n - 1} \sin\left(b x^{n} + a\right)^{2}\,{d x}"," ",0,"integrate(x^(-n - 1)*sin(b*x^n + a)^2, x)","F",0
149,0,0,0,0.000000," ","integrate(x^(-1-n)*sin(a+b*x^n)^3,x, algorithm=""giac"")","\int x^{-n - 1} \sin\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(x^(-n - 1)*sin(b*x^n + a)^3, x)","F",0
150,0,0,0,0.000000," ","integrate(x^(-1-2*n)*sin(a+b*x^n),x, algorithm=""giac"")","\int x^{-2 \, n - 1} \sin\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^(-2*n - 1)*sin(b*x^n + a), x)","F",0
151,0,0,0,0.000000," ","integrate(x^(-1-2*n)*sin(a+b*x^n)^2,x, algorithm=""giac"")","\int x^{-2 \, n - 1} \sin\left(b x^{n} + a\right)^{2}\,{d x}"," ",0,"integrate(x^(-2*n - 1)*sin(b*x^n + a)^2, x)","F",0
152,0,0,0,0.000000," ","integrate(x^(-1-2*n)*sin(a+b*x^n)^3,x, algorithm=""giac"")","\int x^{-2 \, n - 1} \sin\left(b x^{n} + a\right)^{3}\,{d x}"," ",0,"integrate(x^(-2*n - 1)*sin(b*x^n + a)^3, x)","F",0
153,1,1023,0,0.729772," ","integrate((f*x+e)^3*sin(b*(d*x+c)^2),x, algorithm=""giac"")","-\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{3}}{4 \, \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{3}}{4 \, \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} - \frac{-\frac{3 i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{2}}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{3 \, f e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2} + 2\right)}}{b d}}{4 \, d} - \frac{\frac{3 i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{2}}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{3 \, f e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2} + 2\right)}}{b d}}{4 \, d} - \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(6 \, b c^{2} f^{2} - 3 i \, f^{2}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} + \frac{2 i \, {\left(d f^{2} {\left(-3 i \, x - \frac{3 i \, c}{d}\right)} + 6 i \, c f^{2}\right)} e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2} + 1\right)}}{b d}}{8 \, d^{2}} - \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(6 \, b c^{2} f^{2} + 3 i \, f^{2}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} + \frac{2 i \, {\left(d f^{2} {\left(-3 i \, x - \frac{3 i \, c}{d}\right)} + 6 i \, c f^{2}\right)} e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2} + 1\right)}}{b d}}{8 \, d^{2}} + \frac{\frac{\sqrt{2} \sqrt{\pi} {\left(2 i \, b c^{3} f^{3} + 3 \, c f^{3}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right)}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} - \frac{2 \, {\left(b d^{2} f^{3} {\left(x + \frac{c}{d}\right)}^{2} - 3 \, b c d f^{3} {\left(x + \frac{c}{d}\right)} + 3 \, b c^{2} f^{3} - i \, f^{3}\right)} e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2}\right)}}{b^{2} d}}{8 \, d^{3}} + \frac{\frac{\sqrt{2} \sqrt{\pi} {\left(-2 i \, b c^{3} f^{3} + 3 \, c f^{3}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right)}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} - \frac{2 \, {\left(b d^{2} f^{3} {\left(x + \frac{c}{d}\right)}^{2} - 3 \, b c d f^{3} {\left(x + \frac{c}{d}\right)} + 3 \, b c^{2} f^{3} + i \, f^{3}\right)} e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2}\right)}}{b^{2} d}}{8 \, d^{3}}"," ",0,"-1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^3/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) + 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^3/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) - 1/4*(-3*I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^2/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) + 3*f*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2 + 2)/(b*d))/d - 1/4*(3*I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^2/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) + 3*f*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2 + 2)/(b*d))/d - 1/8*(I*sqrt(2)*sqrt(pi)*(6*b*c^2*f^2 - 3*I*f^2)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*b) + 2*I*(d*f^2*(-3*I*x - 3*I*c/d) + 6*I*c*f^2)*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2 + 1)/(b*d))/d^2 - 1/8*(-I*sqrt(2)*sqrt(pi)*(6*b*c^2*f^2 + 3*I*f^2)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*b) + 2*I*(d*f^2*(-3*I*x - 3*I*c/d) + 6*I*c*f^2)*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2 + 1)/(b*d))/d^2 + 1/8*(sqrt(2)*sqrt(pi)*(2*I*b*c^3*f^3 + 3*c*f^3)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*b) - 2*(b*d^2*f^3*(x + c/d)^2 - 3*b*c*d*f^3*(x + c/d) + 3*b*c^2*f^3 - I*f^3)*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2)/(b^2*d))/d^3 + 1/8*(sqrt(2)*sqrt(pi)*(-2*I*b*c^3*f^3 + 3*c*f^3)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*b) - 2*(b*d^2*f^3*(x + c/d)^2 - 3*b*c*d*f^3*(x + c/d) + 3*b*c^2*f^3 + I*f^3)*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2)/(b^2*d))/d^3","C",0
154,1,669,0,1.110404," ","integrate((f*x+e)^2*sin(b*(d*x+c)^2),x, algorithm=""giac"")","-\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{2}}{4 \, \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{2}}{4 \, \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} - \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{f e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2} + 1\right)}}{b d}}{2 \, d} - \frac{\frac{i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{f e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2} + 1\right)}}{b d}}{2 \, d} - \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(2 \, b c^{2} f^{2} - i \, f^{2}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right)}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} + \frac{2 i \, {\left(d f^{2} {\left(-i \, x - \frac{i \, c}{d}\right)} + 2 i \, c f^{2}\right)} e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2}\right)}}{b d}}{8 \, d^{2}} - \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(2 \, b c^{2} f^{2} + i \, f^{2}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right)}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} + \frac{2 i \, {\left(d f^{2} {\left(-i \, x - \frac{i \, c}{d}\right)} + 2 i \, c f^{2}\right)} e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2}\right)}}{b d}}{8 \, d^{2}}"," ",0,"-1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^2/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) + 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^2/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) - 1/2*(-I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) + f*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2 + 1)/(b*d))/d - 1/2*(I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) + f*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2 + 1)/(b*d))/d - 1/8*(I*sqrt(2)*sqrt(pi)*(2*b*c^2*f^2 - I*f^2)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*b) + 2*I*(d*f^2*(-I*x - I*c/d) + 2*I*c*f^2)*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2)/(b*d))/d^2 - 1/8*(-I*sqrt(2)*sqrt(pi)*(2*b*c^2*f^2 + I*f^2)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*b) + 2*I*(d*f^2*(-I*x - I*c/d) + 2*I*c*f^2)*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2)/(b*d))/d^2","C",0
155,1,367,0,0.931484," ","integrate((f*x+e)*sin(b*(d*x+c)^2),x, algorithm=""giac"")","-\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e}{4 \, \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e}{4 \, \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} - \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right)}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{f e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2}\right)}}{b d}}{4 \, d} - \frac{\frac{i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right)}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{f e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2}\right)}}{b d}}{4 \, d}"," ",0,"-1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) + 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) - 1/4*(-I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) + f*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2)/(b*d))/d - 1/4*(I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) + f*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2)/(b*d))/d","C",0
156,1,143,0,0.901765," ","integrate(sin(b*(d*x+c)^2),x, algorithm=""giac"")","-\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right)}{4 \, \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right)}{4 \, \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}}"," ",0,"-1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) + 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1))","C",0
157,0,0,0,0.000000," ","integrate(sin(b*(d*x+c)^2)/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{2} b\right)}{f x + e}\,{d x}"," ",0,"integrate(sin((d*x + c)^2*b)/(f*x + e), x)","F",0
158,0,0,0,0.000000," ","integrate(sin(b*(d*x+c)^2)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{2} b\right)}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(sin((d*x + c)^2*b)/(f*x + e)^2, x)","F",0
159,0,0,0,0.000000," ","integrate((f*x+e)^3*sin(b/(d*x+c)^2),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{3} \sin\left(\frac{b}{{\left(d x + c\right)}^{2}}\right)\,{d x}"," ",0,"integrate((f*x + e)^3*sin(b/(d*x + c)^2), x)","F",0
160,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(b/(d*x+c)^2),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} \sin\left(\frac{b}{{\left(d x + c\right)}^{2}}\right)\,{d x}"," ",0,"integrate((f*x + e)^2*sin(b/(d*x + c)^2), x)","F",0
161,0,0,0,0.000000," ","integrate((f*x+e)*sin(b/(d*x+c)^2),x, algorithm=""giac"")","\int {\left(f x + e\right)} \sin\left(\frac{b}{{\left(d x + c\right)}^{2}}\right)\,{d x}"," ",0,"integrate((f*x + e)*sin(b/(d*x + c)^2), x)","F",0
162,0,0,0,0.000000," ","integrate(sin(b/(d*x+c)^2),x, algorithm=""giac"")","\int \sin\left(\frac{b}{{\left(d x + c\right)}^{2}}\right)\,{d x}"," ",0,"integrate(sin(b/(d*x + c)^2), x)","F",0
163,0,0,0,0.000000," ","integrate(sin(b/(d*x+c)^2)/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left(\frac{b}{{\left(d x + c\right)}^{2}}\right)}{f x + e}\,{d x}"," ",0,"integrate(sin(b/(d*x + c)^2)/(f*x + e), x)","F",0
164,0,0,0,0.000000," ","integrate(sin(b/(d*x+c)^2)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\sin\left(\frac{b}{{\left(d x + c\right)}^{2}}\right)}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(sin(b/(d*x + c)^2)/(f*x + e)^2, x)","F",0
165,1,1073,0,0.991950," ","integrate((f*x+e)^3*sin(a+b*(d*x+c)^2),x, algorithm=""giac"")","\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(i \, a + 3\right)}}{4 \, \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} - \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(-i \, a + 3\right)}}{4 \, \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} - \frac{\frac{3 i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(i \, a + 2\right)}}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{3 \, f e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2} + i \, a + 2\right)}}{b d}}{4 \, d} - \frac{-\frac{3 i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(-i \, a + 2\right)}}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{3 \, f e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2} - i \, a + 2\right)}}{b d}}{4 \, d} - \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(6 \, b c^{2} f^{2} + 3 i \, f^{2}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(i \, a + 1\right)}}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} + \frac{2 i \, {\left(d f^{2} {\left(-3 i \, x - \frac{3 i \, c}{d}\right)} + 6 i \, c f^{2}\right)} e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2} + i \, a + 1\right)}}{b d}}{8 \, d^{2}} - \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(6 \, b c^{2} f^{2} - 3 i \, f^{2}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(-i \, a + 1\right)}}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} + \frac{2 i \, {\left(d f^{2} {\left(-3 i \, x - \frac{3 i \, c}{d}\right)} + 6 i \, c f^{2}\right)} e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2} - i \, a + 1\right)}}{b d}}{8 \, d^{2}} + \frac{\frac{\sqrt{2} \sqrt{\pi} {\left(-2 i \, b c^{3} f^{3} + 3 \, c f^{3}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(i \, a\right)}}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} - \frac{2 \, {\left(b d^{2} f^{3} {\left(x + \frac{c}{d}\right)}^{2} - 3 \, b c d f^{3} {\left(x + \frac{c}{d}\right)} + 3 \, b c^{2} f^{3} + i \, f^{3}\right)} e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2} + i \, a\right)}}{b^{2} d}}{8 \, d^{3}} + \frac{\frac{\sqrt{2} \sqrt{\pi} {\left(2 i \, b c^{3} f^{3} + 3 \, c f^{3}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(-i \, a\right)}}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} - \frac{2 \, {\left(b d^{2} f^{3} {\left(x + \frac{c}{d}\right)}^{2} - 3 \, b c d f^{3} {\left(x + \frac{c}{d}\right)} + 3 \, b c^{2} f^{3} - i \, f^{3}\right)} e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2} - i \, a\right)}}{b^{2} d}}{8 \, d^{3}}"," ",0,"1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(I*a + 3)/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) - 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(-I*a + 3)/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) - 1/4*(3*I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(I*a + 2)/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) + 3*f*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2 + I*a + 2)/(b*d))/d - 1/4*(-3*I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(-I*a + 2)/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) + 3*f*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2 - I*a + 2)/(b*d))/d - 1/8*(-I*sqrt(2)*sqrt(pi)*(6*b*c^2*f^2 + 3*I*f^2)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(I*a + 1)/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*b) + 2*I*(d*f^2*(-3*I*x - 3*I*c/d) + 6*I*c*f^2)*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2 + I*a + 1)/(b*d))/d^2 - 1/8*(I*sqrt(2)*sqrt(pi)*(6*b*c^2*f^2 - 3*I*f^2)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(-I*a + 1)/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*b) + 2*I*(d*f^2*(-3*I*x - 3*I*c/d) + 6*I*c*f^2)*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2 - I*a + 1)/(b*d))/d^2 + 1/8*(sqrt(2)*sqrt(pi)*(-2*I*b*c^3*f^3 + 3*c*f^3)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(I*a)/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*b) - 2*(b*d^2*f^3*(x + c/d)^2 - 3*b*c*d*f^3*(x + c/d) + 3*b*c^2*f^3 + I*f^3)*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2 + I*a)/(b^2*d))/d^3 + 1/8*(sqrt(2)*sqrt(pi)*(2*I*b*c^3*f^3 + 3*c*f^3)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(-I*a)/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*b) - 2*(b*d^2*f^3*(x + c/d)^2 - 3*b*c*d*f^3*(x + c/d) + 3*b*c^2*f^3 - I*f^3)*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2 - I*a)/(b^2*d))/d^3","C",0
166,1,705,0,1.054198," ","integrate((f*x+e)^2*sin(a+b*(d*x+c)^2),x, algorithm=""giac"")","\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(i \, a + 2\right)}}{4 \, \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} - \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(-i \, a + 2\right)}}{4 \, \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} - \frac{\frac{i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(i \, a + 1\right)}}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{f e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2} + i \, a + 1\right)}}{b d}}{2 \, d} - \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(-i \, a + 1\right)}}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{f e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2} - i \, a + 1\right)}}{b d}}{2 \, d} - \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} {\left(2 \, b c^{2} f^{2} + i \, f^{2}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(i \, a\right)}}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} + \frac{2 i \, {\left(d f^{2} {\left(-i \, x - \frac{i \, c}{d}\right)} + 2 i \, c f^{2}\right)} e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2} + i \, a\right)}}{b d}}{8 \, d^{2}} - \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(2 \, b c^{2} f^{2} - i \, f^{2}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(-i \, a\right)}}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} b} + \frac{2 i \, {\left(d f^{2} {\left(-i \, x - \frac{i \, c}{d}\right)} + 2 i \, c f^{2}\right)} e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2} - i \, a\right)}}{b d}}{8 \, d^{2}}"," ",0,"1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(I*a + 2)/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) - 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(-I*a + 2)/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) - 1/2*(I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(I*a + 1)/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) + f*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2 + I*a + 1)/(b*d))/d - 1/2*(-I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(-I*a + 1)/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) + f*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2 - I*a + 1)/(b*d))/d - 1/8*(-I*sqrt(2)*sqrt(pi)*(2*b*c^2*f^2 + I*f^2)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(I*a)/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*b) + 2*I*(d*f^2*(-I*x - I*c/d) + 2*I*c*f^2)*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2 + I*a)/(b*d))/d^2 - 1/8*(I*sqrt(2)*sqrt(pi)*(2*b*c^2*f^2 - I*f^2)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(-I*a)/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*b) + 2*I*(d*f^2*(-I*x - I*c/d) + 2*I*c*f^2)*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2 - I*a)/(b*d))/d^2","C",0
167,1,389,0,0.718024," ","integrate((f*x+e)*sin(a+b*(d*x+c)^2),x, algorithm=""giac"")","\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(i \, a + 1\right)}}{4 \, \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} - \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(-i \, a + 1\right)}}{4 \, \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} - \frac{\frac{i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(i \, a\right)}}{\sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{f e^{\left(i \, b d^{2} x^{2} + 2 i \, b c d x + i \, b c^{2} + i \, a\right)}}{b d}}{4 \, d} - \frac{-\frac{i \, \sqrt{2} \sqrt{\pi} c f \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(-i \, a\right)}}{\sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} + \frac{f e^{\left(-i \, b d^{2} x^{2} - 2 i \, b c d x - i \, b c^{2} - i \, a\right)}}{b d}}{4 \, d}"," ",0,"1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(I*a + 1)/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) - 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(-I*a + 1)/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) - 1/4*(I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(I*a)/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) + f*e^(I*b*d^2*x^2 + 2*I*b*c*d*x + I*b*c^2 + I*a)/(b*d))/d - 1/4*(-I*sqrt(2)*sqrt(pi)*c*f*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(-I*a)/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)) + f*e^(-I*b*d^2*x^2 - 2*I*b*c*d*x - I*b*c^2 - I*a)/(b*d))/d","C",0
168,1,151,0,0.737839," ","integrate(sin(a+b*(d*x+c)^2),x, algorithm=""giac"")","\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(i \, a\right)}}{4 \, \sqrt{b d^{2}} {\left(-\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}} - \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)} {\left(x + \frac{c}{d}\right)}\right) e^{\left(-i \, a\right)}}{4 \, \sqrt{b d^{2}} {\left(\frac{i \, b d^{2}}{\sqrt{b^{2} d^{4}}} + 1\right)}}"," ",0,"1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(I*a)/(sqrt(b*d^2)*(-I*b*d^2/sqrt(b^2*d^4) + 1)) - 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1)*(x + c/d))*e^(-I*a)/(sqrt(b*d^2)*(I*b*d^2/sqrt(b^2*d^4) + 1))","C",0
169,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^2)/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{2} b + a\right)}{f x + e}\,{d x}"," ",0,"integrate(sin((d*x + c)^2*b + a)/(f*x + e), x)","F",0
170,-1,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^2)/(f*x+e)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,0,0,0,0.000000," ","integrate((f*x+e)^3*sin(a+b*(d*x+c)^3),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{3} \sin\left({\left(d x + c\right)}^{3} b + a\right)\,{d x}"," ",0,"integrate((f*x + e)^3*sin((d*x + c)^3*b + a), x)","F",0
172,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(a+b*(d*x+c)^3),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} \sin\left({\left(d x + c\right)}^{3} b + a\right)\,{d x}"," ",0,"integrate((f*x + e)^2*sin((d*x + c)^3*b + a), x)","F",0
173,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b*(d*x+c)^3),x, algorithm=""giac"")","\int {\left(f x + e\right)} \sin\left({\left(d x + c\right)}^{3} b + a\right)\,{d x}"," ",0,"integrate((f*x + e)*sin((d*x + c)^3*b + a), x)","F",0
174,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^3),x, algorithm=""giac"")","\int \sin\left({\left(d x + c\right)}^{3} b + a\right)\,{d x}"," ",0,"integrate(sin((d*x + c)^3*b + a), x)","F",0
175,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^3)/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{3} b + a\right)}{f x + e}\,{d x}"," ",0,"integrate(sin((d*x + c)^3*b + a)/(f*x + e), x)","F",0
176,-1,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^3)/(f*x+e)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
177,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(a+b/(d*x+c)^2),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} \sin\left(a + \frac{b}{{\left(d x + c\right)}^{2}}\right)\,{d x}"," ",0,"integrate((f*x + e)^2*sin(a + b/(d*x + c)^2), x)","F",0
178,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b/(d*x+c)^2),x, algorithm=""giac"")","\int {\left(f x + e\right)} \sin\left(a + \frac{b}{{\left(d x + c\right)}^{2}}\right)\,{d x}"," ",0,"integrate((f*x + e)*sin(a + b/(d*x + c)^2), x)","F",0
179,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^2),x, algorithm=""giac"")","\int \sin\left(a + \frac{b}{{\left(d x + c\right)}^{2}}\right)\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^2), x)","F",0
180,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^2)/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{2}}\right)}{f x + e}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^2)/(f*x + e), x)","F",0
181,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^2)/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{2}}\right)}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^2)/(f*x + e)^2, x)","F",0
182,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(a+b/(d*x+c)^3),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} \sin\left(a + \frac{b}{{\left(d x + c\right)}^{3}}\right)\,{d x}"," ",0,"integrate((f*x + e)^2*sin(a + b/(d*x + c)^3), x)","F",0
183,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b/(d*x+c)^3),x, algorithm=""giac"")","\int {\left(f x + e\right)} \sin\left(a + \frac{b}{{\left(d x + c\right)}^{3}}\right)\,{d x}"," ",0,"integrate((f*x + e)*sin(a + b/(d*x + c)^3), x)","F",0
184,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^3),x, algorithm=""giac"")","\int \sin\left(a + \frac{b}{{\left(d x + c\right)}^{3}}\right)\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^3), x)","F",0
185,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^3)/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{3}}\right)}{f x + e}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^3)/(f*x + e), x)","F",0
186,-1,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^3)/(f*x+e)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
187,1,701,0,1.161417," ","integrate((f*x+e)^2*sin(a+b*(d*x+c)^(1/2)),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{f^{2} {\left(\frac{{\left({\left(\sqrt{d x + c} b + a\right)} b^{4} c^{2} - a b^{4} c^{2} - 2 \, {\left(\sqrt{d x + c} b + a\right)}^{3} b^{2} c + 6 \, {\left(\sqrt{d x + c} b + a\right)}^{2} a b^{2} c - 6 \, {\left(\sqrt{d x + c} b + a\right)} a^{2} b^{2} c + 2 \, a^{3} b^{2} c + {\left(\sqrt{d x + c} b + a\right)}^{5} - 5 \, {\left(\sqrt{d x + c} b + a\right)}^{4} a + 10 \, {\left(\sqrt{d x + c} b + a\right)}^{3} a^{2} - 10 \, {\left(\sqrt{d x + c} b + a\right)}^{2} a^{3} + 5 \, {\left(\sqrt{d x + c} b + a\right)} a^{4} - a^{5} + 12 \, {\left(\sqrt{d x + c} b + a\right)} b^{2} c - 12 \, a b^{2} c - 20 \, {\left(\sqrt{d x + c} b + a\right)}^{3} + 60 \, {\left(\sqrt{d x + c} b + a\right)}^{2} a - 60 \, {\left(\sqrt{d x + c} b + a\right)} a^{2} + 20 \, a^{3} + 120 \, \sqrt{d x + c} b\right)} \cos\left(\sqrt{d x + c} b + a\right)}{b^{4} d^{2}} - \frac{{\left(b^{4} c^{2} - 6 \, {\left(\sqrt{d x + c} b + a\right)}^{2} b^{2} c + 12 \, {\left(\sqrt{d x + c} b + a\right)} a b^{2} c - 6 \, a^{2} b^{2} c + 5 \, {\left(\sqrt{d x + c} b + a\right)}^{4} - 20 \, {\left(\sqrt{d x + c} b + a\right)}^{3} a + 30 \, {\left(\sqrt{d x + c} b + a\right)}^{2} a^{2} - 20 \, {\left(\sqrt{d x + c} b + a\right)} a^{3} + 5 \, a^{4} + 12 \, b^{2} c - 60 \, {\left(\sqrt{d x + c} b + a\right)}^{2} + 120 \, {\left(\sqrt{d x + c} b + a\right)} a - 60 \, a^{2} + 120\right)} \sin\left(\sqrt{d x + c} b + a\right)}{b^{4} d^{2}}\right)}}{b} + \frac{{\left(\sqrt{d x + c} b \cos\left(\sqrt{d x + c} b + a\right) - \sin\left(\sqrt{d x + c} b + a\right)\right)} e^{2}}{b} - \frac{2 \, f {\left(\frac{{\left({\left(\sqrt{d x + c} b + a\right)} b^{2} c - a b^{2} c - {\left(\sqrt{d x + c} b + a\right)}^{3} + 3 \, {\left(\sqrt{d x + c} b + a\right)}^{2} a - 3 \, {\left(\sqrt{d x + c} b + a\right)} a^{2} + a^{3} + 6 \, \sqrt{d x + c} b\right)} \cos\left(\sqrt{d x + c} b + a\right)}{b^{2}} - \frac{{\left(b^{2} c - 3 \, {\left(\sqrt{d x + c} b + a\right)}^{2} + 6 \, {\left(\sqrt{d x + c} b + a\right)} a - 3 \, a^{2} + 6\right)} \sin\left(\sqrt{d x + c} b + a\right)}{b^{2}}\right)} e}{b d}\right)}}{b d}"," ",0,"-2*(f^2*(((sqrt(d*x + c)*b + a)*b^4*c^2 - a*b^4*c^2 - 2*(sqrt(d*x + c)*b + a)^3*b^2*c + 6*(sqrt(d*x + c)*b + a)^2*a*b^2*c - 6*(sqrt(d*x + c)*b + a)*a^2*b^2*c + 2*a^3*b^2*c + (sqrt(d*x + c)*b + a)^5 - 5*(sqrt(d*x + c)*b + a)^4*a + 10*(sqrt(d*x + c)*b + a)^3*a^2 - 10*(sqrt(d*x + c)*b + a)^2*a^3 + 5*(sqrt(d*x + c)*b + a)*a^4 - a^5 + 12*(sqrt(d*x + c)*b + a)*b^2*c - 12*a*b^2*c - 20*(sqrt(d*x + c)*b + a)^3 + 60*(sqrt(d*x + c)*b + a)^2*a - 60*(sqrt(d*x + c)*b + a)*a^2 + 20*a^3 + 120*sqrt(d*x + c)*b)*cos(sqrt(d*x + c)*b + a)/(b^4*d^2) - (b^4*c^2 - 6*(sqrt(d*x + c)*b + a)^2*b^2*c + 12*(sqrt(d*x + c)*b + a)*a*b^2*c - 6*a^2*b^2*c + 5*(sqrt(d*x + c)*b + a)^4 - 20*(sqrt(d*x + c)*b + a)^3*a + 30*(sqrt(d*x + c)*b + a)^2*a^2 - 20*(sqrt(d*x + c)*b + a)*a^3 + 5*a^4 + 12*b^2*c - 60*(sqrt(d*x + c)*b + a)^2 + 120*(sqrt(d*x + c)*b + a)*a - 60*a^2 + 120)*sin(sqrt(d*x + c)*b + a)/(b^4*d^2))/b + (sqrt(d*x + c)*b*cos(sqrt(d*x + c)*b + a) - sin(sqrt(d*x + c)*b + a))*e^2/b - 2*f*(((sqrt(d*x + c)*b + a)*b^2*c - a*b^2*c - (sqrt(d*x + c)*b + a)^3 + 3*(sqrt(d*x + c)*b + a)^2*a - 3*(sqrt(d*x + c)*b + a)*a^2 + a^3 + 6*sqrt(d*x + c)*b)*cos(sqrt(d*x + c)*b + a)/b^2 - (b^2*c - 3*(sqrt(d*x + c)*b + a)^2 + 6*(sqrt(d*x + c)*b + a)*a - 3*a^2 + 6)*sin(sqrt(d*x + c)*b + a)/b^2)*e/(b*d))/(b*d)","A",0
188,1,219,0,0.691033," ","integrate((f*x+e)*sin(a+b*(d*x+c)^(1/2)),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{{\left(\sqrt{d x + c} b \cos\left(\sqrt{d x + c} b + a\right) - \sin\left(\sqrt{d x + c} b + a\right)\right)} e}{b} - \frac{f {\left(\frac{{\left({\left(\sqrt{d x + c} b + a\right)} b^{2} c - a b^{2} c - {\left(\sqrt{d x + c} b + a\right)}^{3} + 3 \, {\left(\sqrt{d x + c} b + a\right)}^{2} a - 3 \, {\left(\sqrt{d x + c} b + a\right)} a^{2} + a^{3} + 6 \, \sqrt{d x + c} b\right)} \cos\left(\sqrt{d x + c} b + a\right)}{b^{2}} - \frac{{\left(b^{2} c - 3 \, {\left(\sqrt{d x + c} b + a\right)}^{2} + 6 \, {\left(\sqrt{d x + c} b + a\right)} a - 3 \, a^{2} + 6\right)} \sin\left(\sqrt{d x + c} b + a\right)}{b^{2}}\right)}}{b d}\right)}}{b d}"," ",0,"-2*((sqrt(d*x + c)*b*cos(sqrt(d*x + c)*b + a) - sin(sqrt(d*x + c)*b + a))*e/b - f*(((sqrt(d*x + c)*b + a)*b^2*c - a*b^2*c - (sqrt(d*x + c)*b + a)^3 + 3*(sqrt(d*x + c)*b + a)^2*a - 3*(sqrt(d*x + c)*b + a)*a^2 + a^3 + 6*sqrt(d*x + c)*b)*cos(sqrt(d*x + c)*b + a)/b^2 - (b^2*c - 3*(sqrt(d*x + c)*b + a)^2 + 6*(sqrt(d*x + c)*b + a)*a - 3*a^2 + 6)*sin(sqrt(d*x + c)*b + a)/b^2)/(b*d))/(b*d)","A",0
189,1,44,0,0.437270," ","integrate(sin(a+b*(d*x+c)^(1/2)),x, algorithm=""giac"")","-\frac{2 \, {\left(\sqrt{d x + c} b \cos\left(\sqrt{d x + c} b + a\right) - \sin\left(\sqrt{d x + c} b + a\right)\right)}}{b^{2} d}"," ",0,"-2*(sqrt(d*x + c)*b*cos(sqrt(d*x + c)*b + a) - sin(sqrt(d*x + c)*b + a))/(b^2*d)","A",0
190,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(1/2))/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left(\sqrt{d x + c} b + a\right)}{f x + e}\,{d x}"," ",0,"integrate(sin(sqrt(d*x + c)*b + a)/(f*x + e), x)","F",0
191,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(1/2))/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\sin\left(\sqrt{d x + c} b + a\right)}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(sin(sqrt(d*x + c)*b + a)/(f*x + e)^2, x)","F",0
192,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(a+b*(d*x+c)^(3/2)),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} \sin\left({\left(d x + c\right)}^{\frac{3}{2}} b + a\right)\,{d x}"," ",0,"integrate((f*x + e)^2*sin((d*x + c)^(3/2)*b + a), x)","F",0
193,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b*(d*x+c)^(3/2)),x, algorithm=""giac"")","\int {\left(f x + e\right)} \sin\left({\left(d x + c\right)}^{\frac{3}{2}} b + a\right)\,{d x}"," ",0,"integrate((f*x + e)*sin((d*x + c)^(3/2)*b + a), x)","F",0
194,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(3/2)),x, algorithm=""giac"")","\int \sin\left({\left(d x + c\right)}^{\frac{3}{2}} b + a\right)\,{d x}"," ",0,"integrate(sin((d*x + c)^(3/2)*b + a), x)","F",0
195,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(3/2))/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{\frac{3}{2}} b + a\right)}{f x + e}\,{d x}"," ",0,"integrate(sin((d*x + c)^(3/2)*b + a)/(f*x + e), x)","F",0
196,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(3/2))/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{\frac{3}{2}} b + a\right)}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(sin((d*x + c)^(3/2)*b + a)/(f*x + e)^2, x)","F",0
197,1,6606,0,2.470386," ","integrate((f*x+e)^2*sin(a+b/(d*x+c)^(1/2)),x, algorithm=""giac"")","\frac{\frac{{\left(a^{6} b^{7} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right) - a^{6} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{6 \, {\left(\sqrt{d x + c} a + b\right)} a^{5} b^{7} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{\sqrt{d x + c}} + \frac{6 \, {\left(\sqrt{d x + c} a + b\right)} a^{5} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{15 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{4} b^{7} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{d x + c} + 60 \, a^{6} b^{5} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right) - \frac{15 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{4} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - 60 \, a^{6} b^{5} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{20 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a^{3} b^{7} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{360 \, {\left(\sqrt{d x + c} a + b\right)} a^{5} b^{5} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{\sqrt{d x + c}} + \frac{20 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a^{3} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{360 \, {\left(\sqrt{d x + c} a + b\right)} a^{5} b^{5} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - a^{5} b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{15 \, {\left(\sqrt{d x + c} a + b\right)}^{4} a^{2} b^{7} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{2}} + \frac{900 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{4} b^{5} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{d x + c} + 360 \, a^{6} b^{3} c^{2} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right) - \frac{15 \, {\left(\sqrt{d x + c} a + b\right)}^{4} a^{2} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} - \frac{900 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{4} b^{5} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - 360 \, a^{6} b^{3} c^{2} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{5 \, {\left(\sqrt{d x + c} a + b\right)} a^{4} b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{5} a b^{7} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} - \frac{1200 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a^{3} b^{5} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{2160 \, {\left(\sqrt{d x + c} a + b\right)} a^{5} b^{3} c^{2} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{\sqrt{d x + c}} + \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{5} a b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} + \frac{1200 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a^{3} b^{5} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{2160 \, {\left(\sqrt{d x + c} a + b\right)} a^{5} b^{3} c^{2} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - \frac{10 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{3} b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - 60 \, a^{5} b^{5} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{{\left(\sqrt{d x + c} a + b\right)}^{6} b^{7} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{3}} + \frac{900 \, {\left(\sqrt{d x + c} a + b\right)}^{4} a^{2} b^{5} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{2}} + \frac{5400 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{4} b^{3} c^{2} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{d x + c} + a^{4} b^{7} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{{\left(\sqrt{d x + c} a + b\right)}^{6} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{3}} - \frac{900 \, {\left(\sqrt{d x + c} a + b\right)}^{4} a^{2} b^{5} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} - \frac{5400 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{4} b^{3} c^{2} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + \frac{10 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a^{2} b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{300 \, {\left(\sqrt{d x + c} a + b\right)} a^{4} b^{5} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - \frac{360 \, {\left(\sqrt{d x + c} a + b\right)}^{5} a b^{5} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} - \frac{7200 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a^{3} b^{3} c^{2} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{4 \, {\left(\sqrt{d x + c} a + b\right)} a^{3} b^{7} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{360 \, {\left(\sqrt{d x + c} a + b\right)}^{5} a b^{5} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} + \frac{7200 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a^{3} b^{3} c^{2} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{5 \, {\left(\sqrt{d x + c} a + b\right)}^{4} a b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} + 2 \, a^{3} b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{600 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{3} b^{5} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - 360 \, a^{5} b^{3} c^{2} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{60 \, {\left(\sqrt{d x + c} a + b\right)}^{6} b^{5} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{3}} + \frac{5400 \, {\left(\sqrt{d x + c} a + b\right)}^{4} a^{2} b^{3} c^{2} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2} b^{7} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + 60 \, a^{4} b^{5} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{60 \, {\left(\sqrt{d x + c} a + b\right)}^{6} b^{5} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{3}} - \frac{5400 \, {\left(\sqrt{d x + c} a + b\right)}^{4} a^{2} b^{3} c^{2} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{5} b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} - \frac{6 \, {\left(\sqrt{d x + c} a + b\right)} a^{2} b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{600 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a^{2} b^{5} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{1800 \, {\left(\sqrt{d x + c} a + b\right)} a^{4} b^{3} c^{2} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - \frac{2160 \, {\left(\sqrt{d x + c} a + b\right)}^{5} a b^{3} c^{2} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} - \frac{4 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a b^{7} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{240 \, {\left(\sqrt{d x + c} a + b\right)} a^{3} b^{5} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{2160 \, {\left(\sqrt{d x + c} a + b\right)}^{5} a b^{3} c^{2} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} + \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - \frac{300 \, {\left(\sqrt{d x + c} a + b\right)}^{4} a b^{5} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} + 120 \, a^{3} b^{5} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{3600 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{3} b^{3} c^{2} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + \frac{360 \, {\left(\sqrt{d x + c} a + b\right)}^{6} b^{3} c^{2} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{3}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{4} b^{7} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} - 6 \, a^{2} b^{7} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{360 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2} b^{5} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + 360 \, a^{4} b^{3} c^{2} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{360 \, {\left(\sqrt{d x + c} a + b\right)}^{6} b^{3} c^{2} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(\sqrt{d x + c} a + b\right)}^{3} b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{60 \, {\left(\sqrt{d x + c} a + b\right)}^{5} b^{5} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} - \frac{360 \, {\left(\sqrt{d x + c} a + b\right)} a^{2} b^{5} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{3600 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a^{2} b^{3} c^{2} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{12 \, {\left(\sqrt{d x + c} a + b\right)} a b^{7} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - \frac{240 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a b^{5} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{1440 \, {\left(\sqrt{d x + c} a + b\right)} a^{3} b^{3} c^{2} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - 24 \, a b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{360 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a b^{5} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - \frac{1800 \, {\left(\sqrt{d x + c} a + b\right)}^{4} a b^{3} c^{2} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{2} b^{7} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + \frac{60 \, {\left(\sqrt{d x + c} a + b\right)}^{4} b^{5} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} - 360 \, a^{2} b^{5} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{2160 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2} b^{3} c^{2} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + \frac{24 \, {\left(\sqrt{d x + c} a + b\right)} b^{7} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - \frac{120 \, {\left(\sqrt{d x + c} a + b\right)}^{3} b^{5} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{360 \, {\left(\sqrt{d x + c} a + b\right)}^{5} b^{3} c^{2} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{5}{2}}} + \frac{720 \, {\left(\sqrt{d x + c} a + b\right)} a b^{5} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - \frac{1440 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a b^{3} c^{2} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + 120 \, b^{7} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{360 \, {\left(\sqrt{d x + c} a + b\right)}^{2} b^{5} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + \frac{360 \, {\left(\sqrt{d x + c} a + b\right)}^{4} b^{3} c^{2} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}}\right)} f^{2}}{{\left(a^{6} d^{2} - \frac{6 \, {\left(\sqrt{d x + c} a + b\right)} a^{5} d^{2}}{\sqrt{d x + c}} + \frac{15 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{4} d^{2}}{d x + c} - \frac{20 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a^{3} d^{2}}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{15 \, {\left(\sqrt{d x + c} a + b\right)}^{4} a^{2} d^{2}}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{5} a d^{2}}{{\left(d x + c\right)}^{\frac{5}{2}}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{6} d^{2}}{{\left(d x + c\right)}^{3}}\right)} b} + \frac{360 \, {\left(a^{2} b^{3} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right) - a^{2} b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} a b^{3} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{\sqrt{d x + c}} + \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} a b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{2} b^{3} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{d x + c} - \frac{{\left(\sqrt{d x + c} a + b\right)}^{2} b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - a b^{3} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{{\left(\sqrt{d x + c} a + b\right)} b^{3} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + b^{3} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)\right)} e^{2}}{{\left(a^{2} - \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} a}{\sqrt{d x + c}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{2}}{d x + c}\right)} b} - \frac{60 \, {\left(a^{4} b^{5} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right) - a^{4} b^{5} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{4 \, {\left(\sqrt{d x + c} a + b\right)} a^{3} b^{5} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{\sqrt{d x + c}} + \frac{4 \, {\left(\sqrt{d x + c} a + b\right)} a^{3} b^{5} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2} b^{5} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{d x + c} + 12 \, a^{4} b^{3} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right) - \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2} b^{5} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - 12 \, a^{4} b^{3} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{4 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a b^{5} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{48 \, {\left(\sqrt{d x + c} a + b\right)} a^{3} b^{3} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{\sqrt{d x + c}} + \frac{4 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a b^{5} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{48 \, {\left(\sqrt{d x + c} a + b\right)} a^{3} b^{3} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - a^{3} b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{{\left(\sqrt{d x + c} a + b\right)}^{4} b^{5} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2} b^{3} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{d x + c} - \frac{{\left(\sqrt{d x + c} a + b\right)}^{4} b^{5} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} - \frac{72 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2} b^{3} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + \frac{3 \, {\left(\sqrt{d x + c} a + b\right)} a^{2} b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - \frac{48 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a b^{3} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{48 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a b^{3} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{3 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - 12 \, a^{3} b^{3} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{12 \, {\left(\sqrt{d x + c} a + b\right)}^{4} b^{3} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{2}} + a^{2} b^{5} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{12 \, {\left(\sqrt{d x + c} a + b\right)}^{4} b^{3} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{3} b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{36 \, {\left(\sqrt{d x + c} a + b\right)} a^{2} b^{3} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} a b^{5} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + 2 \, a b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{36 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a b^{3} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{2} b^{5} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + 12 \, a^{2} b^{3} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{12 \, {\left(\sqrt{d x + c} a + b\right)}^{3} b^{3} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{24 \, {\left(\sqrt{d x + c} a + b\right)} a b^{3} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - 6 \, b^{5} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{12 \, {\left(\sqrt{d x + c} a + b\right)}^{2} b^{3} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c}\right)} f e}{{\left(a^{4} - \frac{4 \, {\left(\sqrt{d x + c} a + b\right)} a^{3}}{\sqrt{d x + c}} + \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2}}{d x + c} - \frac{4 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{4}}{{\left(d x + c\right)}^{2}}\right)} b d}}{360 \, d}"," ",0,"1/360*((a^6*b^7*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a) - a^6*b^7*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 6*(sqrt(d*x + c)*a + b)*a^5*b^7*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/sqrt(d*x + c) + 6*(sqrt(d*x + c)*a + b)*a^5*b^7*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + 15*(sqrt(d*x + c)*a + b)^2*a^4*b^7*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c) + 60*a^6*b^5*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a) - 15*(sqrt(d*x + c)*a + b)^2*a^4*b^7*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - 60*a^6*b^5*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 20*(sqrt(d*x + c)*a + b)^3*a^3*b^7*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^(3/2) - 360*(sqrt(d*x + c)*a + b)*a^5*b^5*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/sqrt(d*x + c) + 20*(sqrt(d*x + c)*a + b)^3*a^3*b^7*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 360*(sqrt(d*x + c)*a + b)*a^5*b^5*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - a^5*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + 15*(sqrt(d*x + c)*a + b)^4*a^2*b^7*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^2 + 900*(sqrt(d*x + c)*a + b)^2*a^4*b^5*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c) + 360*a^6*b^3*c^2*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a) - 15*(sqrt(d*x + c)*a + b)^4*a^2*b^7*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 - 900*(sqrt(d*x + c)*a + b)^2*a^4*b^5*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - 360*a^6*b^3*c^2*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + 5*(sqrt(d*x + c)*a + b)*a^4*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 6*(sqrt(d*x + c)*a + b)^5*a*b^7*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^(5/2) - 1200*(sqrt(d*x + c)*a + b)^3*a^3*b^5*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^(3/2) - 2160*(sqrt(d*x + c)*a + b)*a^5*b^3*c^2*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/sqrt(d*x + c) + 6*(sqrt(d*x + c)*a + b)^5*a*b^7*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(5/2) + 1200*(sqrt(d*x + c)*a + b)^3*a^3*b^5*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 2160*(sqrt(d*x + c)*a + b)*a^5*b^3*c^2*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 10*(sqrt(d*x + c)*a + b)^2*a^3*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - 60*a^5*b^5*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + (sqrt(d*x + c)*a + b)^6*b^7*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^3 + 900*(sqrt(d*x + c)*a + b)^4*a^2*b^5*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^2 + 5400*(sqrt(d*x + c)*a + b)^2*a^4*b^3*c^2*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c) + a^4*b^7*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - (sqrt(d*x + c)*a + b)^6*b^7*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^3 - 900*(sqrt(d*x + c)*a + b)^4*a^2*b^5*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 - 5400*(sqrt(d*x + c)*a + b)^2*a^4*b^3*c^2*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + 10*(sqrt(d*x + c)*a + b)^3*a^2*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 300*(sqrt(d*x + c)*a + b)*a^4*b^5*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 360*(sqrt(d*x + c)*a + b)^5*a*b^5*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^(5/2) - 7200*(sqrt(d*x + c)*a + b)^3*a^3*b^3*c^2*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^(3/2) - 4*(sqrt(d*x + c)*a + b)*a^3*b^7*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + 360*(sqrt(d*x + c)*a + b)^5*a*b^5*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(5/2) + 7200*(sqrt(d*x + c)*a + b)^3*a^3*b^3*c^2*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) - 5*(sqrt(d*x + c)*a + b)^4*a*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 + 2*a^3*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 600*(sqrt(d*x + c)*a + b)^2*a^3*b^5*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - 360*a^5*b^3*c^2*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + 60*(sqrt(d*x + c)*a + b)^6*b^5*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^3 + 5400*(sqrt(d*x + c)*a + b)^4*a^2*b^3*c^2*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^2 + 6*(sqrt(d*x + c)*a + b)^2*a^2*b^7*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + 60*a^4*b^5*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 60*(sqrt(d*x + c)*a + b)^6*b^5*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^3 - 5400*(sqrt(d*x + c)*a + b)^4*a^2*b^3*c^2*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 + (sqrt(d*x + c)*a + b)^5*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(5/2) - 6*(sqrt(d*x + c)*a + b)*a^2*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + 600*(sqrt(d*x + c)*a + b)^3*a^2*b^5*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 1800*(sqrt(d*x + c)*a + b)*a^4*b^3*c^2*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 2160*(sqrt(d*x + c)*a + b)^5*a*b^3*c^2*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^(5/2) - 4*(sqrt(d*x + c)*a + b)^3*a*b^7*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) - 240*(sqrt(d*x + c)*a + b)*a^3*b^5*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + 2160*(sqrt(d*x + c)*a + b)^5*a*b^3*c^2*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(5/2) + 6*(sqrt(d*x + c)*a + b)^2*a*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - 300*(sqrt(d*x + c)*a + b)^4*a*b^5*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 + 120*a^3*b^5*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 3600*(sqrt(d*x + c)*a + b)^2*a^3*b^3*c^2*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + 360*(sqrt(d*x + c)*a + b)^6*b^3*c^2*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^3 + (sqrt(d*x + c)*a + b)^4*b^7*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 - 6*a^2*b^7*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + 360*(sqrt(d*x + c)*a + b)^2*a^2*b^5*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + 360*a^4*b^3*c^2*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 360*(sqrt(d*x + c)*a + b)^6*b^3*c^2*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^3 - 2*(sqrt(d*x + c)*a + b)^3*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 60*(sqrt(d*x + c)*a + b)^5*b^5*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(5/2) - 360*(sqrt(d*x + c)*a + b)*a^2*b^5*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + 3600*(sqrt(d*x + c)*a + b)^3*a^2*b^3*c^2*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 12*(sqrt(d*x + c)*a + b)*a*b^7*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 240*(sqrt(d*x + c)*a + b)^3*a*b^5*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) - 1440*(sqrt(d*x + c)*a + b)*a^3*b^3*c^2*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 24*a*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + 360*(sqrt(d*x + c)*a + b)^2*a*b^5*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - 1800*(sqrt(d*x + c)*a + b)^4*a*b^3*c^2*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 - 6*(sqrt(d*x + c)*a + b)^2*b^7*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + 60*(sqrt(d*x + c)*a + b)^4*b^5*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 - 360*a^2*b^5*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + 2160*(sqrt(d*x + c)*a + b)^2*a^2*b^3*c^2*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + 24*(sqrt(d*x + c)*a + b)*b^7*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 120*(sqrt(d*x + c)*a + b)^3*b^5*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 360*(sqrt(d*x + c)*a + b)^5*b^3*c^2*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(5/2) + 720*(sqrt(d*x + c)*a + b)*a*b^5*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 1440*(sqrt(d*x + c)*a + b)^3*a*b^3*c^2*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 120*b^7*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 360*(sqrt(d*x + c)*a + b)^2*b^5*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + 360*(sqrt(d*x + c)*a + b)^4*b^3*c^2*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2)*f^2/((a^6*d^2 - 6*(sqrt(d*x + c)*a + b)*a^5*d^2/sqrt(d*x + c) + 15*(sqrt(d*x + c)*a + b)^2*a^4*d^2/(d*x + c) - 20*(sqrt(d*x + c)*a + b)^3*a^3*d^2/(d*x + c)^(3/2) + 15*(sqrt(d*x + c)*a + b)^4*a^2*d^2/(d*x + c)^2 - 6*(sqrt(d*x + c)*a + b)^5*a*d^2/(d*x + c)^(5/2) + (sqrt(d*x + c)*a + b)^6*d^2/(d*x + c)^3)*b) + 360*(a^2*b^3*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a) - a^2*b^3*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 2*(sqrt(d*x + c)*a + b)*a*b^3*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/sqrt(d*x + c) + 2*(sqrt(d*x + c)*a + b)*a*b^3*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + (sqrt(d*x + c)*a + b)^2*b^3*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c) - (sqrt(d*x + c)*a + b)^2*b^3*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - a*b^3*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + (sqrt(d*x + c)*a + b)*b^3*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + b^3*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)))*e^2/((a^2 - 2*(sqrt(d*x + c)*a + b)*a/sqrt(d*x + c) + (sqrt(d*x + c)*a + b)^2/(d*x + c))*b) - 60*(a^4*b^5*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a) - a^4*b^5*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 4*(sqrt(d*x + c)*a + b)*a^3*b^5*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/sqrt(d*x + c) + 4*(sqrt(d*x + c)*a + b)*a^3*b^5*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + 6*(sqrt(d*x + c)*a + b)^2*a^2*b^5*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c) + 12*a^4*b^3*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a) - 6*(sqrt(d*x + c)*a + b)^2*a^2*b^5*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - 12*a^4*b^3*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 4*(sqrt(d*x + c)*a + b)^3*a*b^5*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^(3/2) - 48*(sqrt(d*x + c)*a + b)*a^3*b^3*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/sqrt(d*x + c) + 4*(sqrt(d*x + c)*a + b)^3*a*b^5*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 48*(sqrt(d*x + c)*a + b)*a^3*b^3*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - a^3*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + (sqrt(d*x + c)*a + b)^4*b^5*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^2 + 72*(sqrt(d*x + c)*a + b)^2*a^2*b^3*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c) - (sqrt(d*x + c)*a + b)^4*b^5*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 - 72*(sqrt(d*x + c)*a + b)^2*a^2*b^3*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + 3*(sqrt(d*x + c)*a + b)*a^2*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 48*(sqrt(d*x + c)*a + b)^3*a*b^3*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^(3/2) + 48*(sqrt(d*x + c)*a + b)^3*a*b^3*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) - 3*(sqrt(d*x + c)*a + b)^2*a*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - 12*a^3*b^3*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + 12*(sqrt(d*x + c)*a + b)^4*b^3*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^2 + a^2*b^5*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 12*(sqrt(d*x + c)*a + b)^4*b^3*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 + (sqrt(d*x + c)*a + b)^3*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 36*(sqrt(d*x + c)*a + b)*a^2*b^3*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 2*(sqrt(d*x + c)*a + b)*a*b^5*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + 2*a*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 36*(sqrt(d*x + c)*a + b)^2*a*b^3*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + (sqrt(d*x + c)*a + b)^2*b^5*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + 12*a^2*b^3*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 2*(sqrt(d*x + c)*a + b)*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + 12*(sqrt(d*x + c)*a + b)^3*b^3*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) - 24*(sqrt(d*x + c)*a + b)*a*b^3*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 6*b^5*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + 12*(sqrt(d*x + c)*a + b)^2*b^3*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c))*f*e/((a^4 - 4*(sqrt(d*x + c)*a + b)*a^3/sqrt(d*x + c) + 6*(sqrt(d*x + c)*a + b)^2*a^2/(d*x + c) - 4*(sqrt(d*x + c)*a + b)^3*a/(d*x + c)^(3/2) + (sqrt(d*x + c)*a + b)^4/(d*x + c)^2)*b*d))/d","B",0
198,1,2159,0,1.774202," ","integrate((f*x+e)*sin(a+b/(d*x+c)^(1/2)),x, algorithm=""giac"")","\frac{\frac{12 \, {\left(a^{2} b^{3} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right) - a^{2} b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} a b^{3} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{\sqrt{d x + c}} + \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} a b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{2} b^{3} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{d x + c} - \frac{{\left(\sqrt{d x + c} a + b\right)}^{2} b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - a b^{3} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{{\left(\sqrt{d x + c} a + b\right)} b^{3} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + b^{3} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)\right)} e}{{\left(a^{2} - \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} a}{\sqrt{d x + c}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{2}}{d x + c}\right)} b} - \frac{{\left(a^{4} b^{5} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right) - a^{4} b^{5} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{4 \, {\left(\sqrt{d x + c} a + b\right)} a^{3} b^{5} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{\sqrt{d x + c}} + \frac{4 \, {\left(\sqrt{d x + c} a + b\right)} a^{3} b^{5} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2} b^{5} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{d x + c} + 12 \, a^{4} b^{3} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right) - \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2} b^{5} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - 12 \, a^{4} b^{3} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{4 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a b^{5} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{48 \, {\left(\sqrt{d x + c} a + b\right)} a^{3} b^{3} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{\sqrt{d x + c}} + \frac{4 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a b^{5} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{48 \, {\left(\sqrt{d x + c} a + b\right)} a^{3} b^{3} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - a^{3} b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{{\left(\sqrt{d x + c} a + b\right)}^{4} b^{5} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2} b^{3} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{d x + c} - \frac{{\left(\sqrt{d x + c} a + b\right)}^{4} b^{5} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} - \frac{72 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2} b^{3} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + \frac{3 \, {\left(\sqrt{d x + c} a + b\right)} a^{2} b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - \frac{48 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a b^{3} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{48 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a b^{3} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{3 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - 12 \, a^{3} b^{3} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{12 \, {\left(\sqrt{d x + c} a + b\right)}^{4} b^{3} c \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{2}} + a^{2} b^{5} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{12 \, {\left(\sqrt{d x + c} a + b\right)}^{4} b^{3} c \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{2}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{3} b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{36 \, {\left(\sqrt{d x + c} a + b\right)} a^{2} b^{3} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} a b^{5} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + 2 \, a b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{36 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a b^{3} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{2} b^{5} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} + 12 \, a^{2} b^{3} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} b^{5} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{12 \, {\left(\sqrt{d x + c} a + b\right)}^{3} b^{3} c \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(d x + c\right)}^{\frac{3}{2}}} - \frac{24 \, {\left(\sqrt{d x + c} a + b\right)} a b^{3} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} - 6 \, b^{5} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{12 \, {\left(\sqrt{d x + c} a + b\right)}^{2} b^{3} c \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c}\right)} f}{{\left(a^{4} - \frac{4 \, {\left(\sqrt{d x + c} a + b\right)} a^{3}}{\sqrt{d x + c}} + \frac{6 \, {\left(\sqrt{d x + c} a + b\right)}^{2} a^{2}}{d x + c} - \frac{4 \, {\left(\sqrt{d x + c} a + b\right)}^{3} a}{{\left(d x + c\right)}^{\frac{3}{2}}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{4}}{{\left(d x + c\right)}^{2}}\right)} b d}}{12 \, d}"," ",0,"1/12*(12*(a^2*b^3*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a) - a^2*b^3*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 2*(sqrt(d*x + c)*a + b)*a*b^3*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/sqrt(d*x + c) + 2*(sqrt(d*x + c)*a + b)*a*b^3*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + (sqrt(d*x + c)*a + b)^2*b^3*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c) - (sqrt(d*x + c)*a + b)^2*b^3*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - a*b^3*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + (sqrt(d*x + c)*a + b)*b^3*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + b^3*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)))*e/((a^2 - 2*(sqrt(d*x + c)*a + b)*a/sqrt(d*x + c) + (sqrt(d*x + c)*a + b)^2/(d*x + c))*b) - (a^4*b^5*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a) - a^4*b^5*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 4*(sqrt(d*x + c)*a + b)*a^3*b^5*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/sqrt(d*x + c) + 4*(sqrt(d*x + c)*a + b)*a^3*b^5*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + 6*(sqrt(d*x + c)*a + b)^2*a^2*b^5*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c) + 12*a^4*b^3*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a) - 6*(sqrt(d*x + c)*a + b)^2*a^2*b^5*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - 12*a^4*b^3*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 4*(sqrt(d*x + c)*a + b)^3*a*b^5*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^(3/2) - 48*(sqrt(d*x + c)*a + b)*a^3*b^3*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/sqrt(d*x + c) + 4*(sqrt(d*x + c)*a + b)^3*a*b^5*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 48*(sqrt(d*x + c)*a + b)*a^3*b^3*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - a^3*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + (sqrt(d*x + c)*a + b)^4*b^5*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^2 + 72*(sqrt(d*x + c)*a + b)^2*a^2*b^3*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c) - (sqrt(d*x + c)*a + b)^4*b^5*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 - 72*(sqrt(d*x + c)*a + b)^2*a^2*b^3*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + 3*(sqrt(d*x + c)*a + b)*a^2*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 48*(sqrt(d*x + c)*a + b)^3*a*b^3*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^(3/2) + 48*(sqrt(d*x + c)*a + b)^3*a*b^3*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) - 3*(sqrt(d*x + c)*a + b)^2*a*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - 12*a^3*b^3*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + 12*(sqrt(d*x + c)*a + b)^4*b^3*c*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c)^2 + a^2*b^5*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 12*(sqrt(d*x + c)*a + b)^4*b^3*c*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^2 + (sqrt(d*x + c)*a + b)^3*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) + 36*(sqrt(d*x + c)*a + b)*a^2*b^3*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 2*(sqrt(d*x + c)*a + b)*a*b^5*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + 2*a*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 36*(sqrt(d*x + c)*a + b)^2*a*b^3*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + (sqrt(d*x + c)*a + b)^2*b^5*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) + 12*a^2*b^3*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 2*(sqrt(d*x + c)*a + b)*b^5*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + 12*(sqrt(d*x + c)*a + b)^3*b^3*c*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c)^(3/2) - 24*(sqrt(d*x + c)*a + b)*a*b^3*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) - 6*b^5*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + 12*(sqrt(d*x + c)*a + b)^2*b^3*c*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c))*f/((a^4 - 4*(sqrt(d*x + c)*a + b)*a^3/sqrt(d*x + c) + 6*(sqrt(d*x + c)*a + b)^2*a^2/(d*x + c) - 4*(sqrt(d*x + c)*a + b)^3*a/(d*x + c)^(3/2) + (sqrt(d*x + c)*a + b)^4/(d*x + c)^2)*b*d))/d","B",0
199,1,413,0,0.623278," ","integrate(sin(a+b/(d*x+c)^(1/2)),x, algorithm=""giac"")","\frac{a^{2} b^{3} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right) - a^{2} b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) - \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} a b^{3} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{\sqrt{d x + c}} + \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} a b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{2} b^{3} \operatorname{Ci}\left(-a + \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) \sin\left(a\right)}{d x + c} - \frac{{\left(\sqrt{d x + c} a + b\right)}^{2} b^{3} \cos\left(a\right) \operatorname{Si}\left(a - \frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{d x + c} - a b^{3} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right) + \frac{{\left(\sqrt{d x + c} a + b\right)} b^{3} \cos\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{\sqrt{d x + c}} + b^{3} \sin\left(\frac{\sqrt{d x + c} a + b}{\sqrt{d x + c}}\right)}{{\left(a^{2} - \frac{2 \, {\left(\sqrt{d x + c} a + b\right)} a}{\sqrt{d x + c}} + \frac{{\left(\sqrt{d x + c} a + b\right)}^{2}}{d x + c}\right)} b d}"," ",0,"(a^2*b^3*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a) - a^2*b^3*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c)) - 2*(sqrt(d*x + c)*a + b)*a*b^3*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/sqrt(d*x + c) + 2*(sqrt(d*x + c)*a + b)*a*b^3*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + (sqrt(d*x + c)*a + b)^2*b^3*cos_integral(-a + (sqrt(d*x + c)*a + b)/sqrt(d*x + c))*sin(a)/(d*x + c) - (sqrt(d*x + c)*a + b)^2*b^3*cos(a)*sin_integral(a - (sqrt(d*x + c)*a + b)/sqrt(d*x + c))/(d*x + c) - a*b^3*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c)) + (sqrt(d*x + c)*a + b)*b^3*cos((sqrt(d*x + c)*a + b)/sqrt(d*x + c))/sqrt(d*x + c) + b^3*sin((sqrt(d*x + c)*a + b)/sqrt(d*x + c)))/((a^2 - 2*(sqrt(d*x + c)*a + b)*a/sqrt(d*x + c) + (sqrt(d*x + c)*a + b)^2/(d*x + c))*b*d)","B",0
200,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(1/2))/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{\sqrt{d x + c}}\right)}{f x + e}\,{d x}"," ",0,"integrate(sin(a + b/sqrt(d*x + c))/(f*x + e), x)","F",0
201,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(1/2))/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{\sqrt{d x + c}}\right)}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(sin(a + b/sqrt(d*x + c))/(f*x + e)^2, x)","F",0
202,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(a+b/(d*x+c)^(3/2)),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} \sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{3}{2}}}\right)\,{d x}"," ",0,"integrate((f*x + e)^2*sin(a + b/(d*x + c)^(3/2)), x)","F",0
203,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b/(d*x+c)^(3/2)),x, algorithm=""giac"")","\int {\left(f x + e\right)} \sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{3}{2}}}\right)\,{d x}"," ",0,"integrate((f*x + e)*sin(a + b/(d*x + c)^(3/2)), x)","F",0
204,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(3/2)),x, algorithm=""giac"")","\int \sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{3}{2}}}\right)\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(3/2)), x)","F",0
205,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(3/2))/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{3}{2}}}\right)}{f x + e}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(3/2))/(f*x + e), x)","F",0
206,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(3/2))/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{3}{2}}}\right)}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(3/2))/(f*x + e)^2, x)","F",0
207,1,1558,0,2.345256," ","integrate((f*x+e)^2*sin(a+b*(d*x+c)^(1/3)),x, algorithm=""giac"")","-\frac{3 \, {\left(f^{2} {\left(\frac{{\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} b^{6} c^{2} - 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a b^{6} c^{2} + a^{2} b^{6} c^{2} - 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} b^{3} c + 10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a b^{3} c - 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{2} b^{3} c + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{3} b^{3} c - 10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{4} b^{3} c + 2 \, a^{5} b^{3} c + {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{8} - 8 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{7} a + 28 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{6} a^{2} - 56 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} a^{3} + 70 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a^{4} - 56 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{5} + 28 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{6} - 8 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{7} + a^{8} - 2 \, b^{6} c^{2} + 40 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} b^{3} c - 120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a b^{3} c + 120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{2} b^{3} c - 40 \, a^{3} b^{3} c - 56 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{6} + 336 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} a - 840 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a^{2} + 1120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{3} - 840 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{4} + 336 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{5} - 56 \, a^{6} - 240 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} b^{3} c + 240 \, a b^{3} c + 1680 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} - 6720 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a + 10080 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{2} - 6720 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{3} + 1680 \, a^{4} - 20160 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} + 40320 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a - 20160 \, a^{2} + 40320\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{8} d^{2}} - \frac{2 \, {\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} b^{6} c^{2} - a b^{6} c^{2} - 5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} b^{3} c + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a b^{3} c - 30 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{2} b^{3} c + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{3} b^{3} c - 5 \, a^{4} b^{3} c + 4 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{7} - 28 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{6} a + 84 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} a^{2} - 140 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a^{3} + 140 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{4} - 84 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{5} + 28 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{6} - 4 \, a^{7} + 60 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} b^{3} c - 120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a b^{3} c + 60 \, a^{2} b^{3} c - 168 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} + 840 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a - 1680 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{2} + 1680 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{3} - 840 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{4} + 168 \, a^{5} - 120 \, b^{3} c + 3360 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 10080 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a + 10080 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{2} - 3360 \, a^{3} - 20160 \, {\left(d x + c\right)}^{\frac{1}{3}} b\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{8} d^{2}}\right)} - {\left(\frac{2 \, {\left(d x + c\right)}^{\frac{1}{3}} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b} - \frac{{\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a + a^{2} - 2\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{2}}\right)} e^{2} - \frac{2 \, f {\left(\frac{{\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} b^{3} c - 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a b^{3} c + a^{2} b^{3} c - {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} + 5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a - 10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{2} + 10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{3} - 5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{4} + a^{5} - 2 \, b^{3} c + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 60 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a + 60 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{2} - 20 \, a^{3} - 120 \, {\left(d x + c\right)}^{\frac{1}{3}} b\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{5}} - \frac{{\left(2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} b^{3} c - 2 \, a b^{3} c - 5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a - 30 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{2} + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{3} - 5 \, a^{4} + 60 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a + 60 \, a^{2} - 120\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{5}}\right)} e}{d}\right)}}{b d}"," ",0,"-3*(f^2*((((d*x + c)^(1/3)*b + a)^2*b^6*c^2 - 2*((d*x + c)^(1/3)*b + a)*a*b^6*c^2 + a^2*b^6*c^2 - 2*((d*x + c)^(1/3)*b + a)^5*b^3*c + 10*((d*x + c)^(1/3)*b + a)^4*a*b^3*c - 20*((d*x + c)^(1/3)*b + a)^3*a^2*b^3*c + 20*((d*x + c)^(1/3)*b + a)^2*a^3*b^3*c - 10*((d*x + c)^(1/3)*b + a)*a^4*b^3*c + 2*a^5*b^3*c + ((d*x + c)^(1/3)*b + a)^8 - 8*((d*x + c)^(1/3)*b + a)^7*a + 28*((d*x + c)^(1/3)*b + a)^6*a^2 - 56*((d*x + c)^(1/3)*b + a)^5*a^3 + 70*((d*x + c)^(1/3)*b + a)^4*a^4 - 56*((d*x + c)^(1/3)*b + a)^3*a^5 + 28*((d*x + c)^(1/3)*b + a)^2*a^6 - 8*((d*x + c)^(1/3)*b + a)*a^7 + a^8 - 2*b^6*c^2 + 40*((d*x + c)^(1/3)*b + a)^3*b^3*c - 120*((d*x + c)^(1/3)*b + a)^2*a*b^3*c + 120*((d*x + c)^(1/3)*b + a)*a^2*b^3*c - 40*a^3*b^3*c - 56*((d*x + c)^(1/3)*b + a)^6 + 336*((d*x + c)^(1/3)*b + a)^5*a - 840*((d*x + c)^(1/3)*b + a)^4*a^2 + 1120*((d*x + c)^(1/3)*b + a)^3*a^3 - 840*((d*x + c)^(1/3)*b + a)^2*a^4 + 336*((d*x + c)^(1/3)*b + a)*a^5 - 56*a^6 - 240*((d*x + c)^(1/3)*b + a)*b^3*c + 240*a*b^3*c + 1680*((d*x + c)^(1/3)*b + a)^4 - 6720*((d*x + c)^(1/3)*b + a)^3*a + 10080*((d*x + c)^(1/3)*b + a)^2*a^2 - 6720*((d*x + c)^(1/3)*b + a)*a^3 + 1680*a^4 - 20160*((d*x + c)^(1/3)*b + a)^2 + 40320*((d*x + c)^(1/3)*b + a)*a - 20160*a^2 + 40320)*cos((d*x + c)^(1/3)*b + a)/(b^8*d^2) - 2*(((d*x + c)^(1/3)*b + a)*b^6*c^2 - a*b^6*c^2 - 5*((d*x + c)^(1/3)*b + a)^4*b^3*c + 20*((d*x + c)^(1/3)*b + a)^3*a*b^3*c - 30*((d*x + c)^(1/3)*b + a)^2*a^2*b^3*c + 20*((d*x + c)^(1/3)*b + a)*a^3*b^3*c - 5*a^4*b^3*c + 4*((d*x + c)^(1/3)*b + a)^7 - 28*((d*x + c)^(1/3)*b + a)^6*a + 84*((d*x + c)^(1/3)*b + a)^5*a^2 - 140*((d*x + c)^(1/3)*b + a)^4*a^3 + 140*((d*x + c)^(1/3)*b + a)^3*a^4 - 84*((d*x + c)^(1/3)*b + a)^2*a^5 + 28*((d*x + c)^(1/3)*b + a)*a^6 - 4*a^7 + 60*((d*x + c)^(1/3)*b + a)^2*b^3*c - 120*((d*x + c)^(1/3)*b + a)*a*b^3*c + 60*a^2*b^3*c - 168*((d*x + c)^(1/3)*b + a)^5 + 840*((d*x + c)^(1/3)*b + a)^4*a - 1680*((d*x + c)^(1/3)*b + a)^3*a^2 + 1680*((d*x + c)^(1/3)*b + a)^2*a^3 - 840*((d*x + c)^(1/3)*b + a)*a^4 + 168*a^5 - 120*b^3*c + 3360*((d*x + c)^(1/3)*b + a)^3 - 10080*((d*x + c)^(1/3)*b + a)^2*a + 10080*((d*x + c)^(1/3)*b + a)*a^2 - 3360*a^3 - 20160*(d*x + c)^(1/3)*b)*sin((d*x + c)^(1/3)*b + a)/(b^8*d^2)) - (2*(d*x + c)^(1/3)*sin((d*x + c)^(1/3)*b + a)/b - (((d*x + c)^(1/3)*b + a)^2 - 2*((d*x + c)^(1/3)*b + a)*a + a^2 - 2)*cos((d*x + c)^(1/3)*b + a)/b^2)*e^2 - 2*f*((((d*x + c)^(1/3)*b + a)^2*b^3*c - 2*((d*x + c)^(1/3)*b + a)*a*b^3*c + a^2*b^3*c - ((d*x + c)^(1/3)*b + a)^5 + 5*((d*x + c)^(1/3)*b + a)^4*a - 10*((d*x + c)^(1/3)*b + a)^3*a^2 + 10*((d*x + c)^(1/3)*b + a)^2*a^3 - 5*((d*x + c)^(1/3)*b + a)*a^4 + a^5 - 2*b^3*c + 20*((d*x + c)^(1/3)*b + a)^3 - 60*((d*x + c)^(1/3)*b + a)^2*a + 60*((d*x + c)^(1/3)*b + a)*a^2 - 20*a^3 - 120*(d*x + c)^(1/3)*b)*cos((d*x + c)^(1/3)*b + a)/b^5 - (2*((d*x + c)^(1/3)*b + a)*b^3*c - 2*a*b^3*c - 5*((d*x + c)^(1/3)*b + a)^4 + 20*((d*x + c)^(1/3)*b + a)^3*a - 30*((d*x + c)^(1/3)*b + a)^2*a^2 + 20*((d*x + c)^(1/3)*b + a)*a^3 - 5*a^4 + 60*((d*x + c)^(1/3)*b + a)^2 - 120*((d*x + c)^(1/3)*b + a)*a + 60*a^2 - 120)*sin((d*x + c)^(1/3)*b + a)/b^5)*e/d)/(b*d)","B",0
208,1,454,0,0.432085," ","integrate((f*x+e)*sin(a+b*(d*x+c)^(1/3)),x, algorithm=""giac"")","\frac{3 \, {\left({\left(\frac{2 \, {\left(d x + c\right)}^{\frac{1}{3}} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b} - \frac{{\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a + a^{2} - 2\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{2}}\right)} e + \frac{f {\left(\frac{{\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} b^{3} c - 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a b^{3} c + a^{2} b^{3} c - {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{5} + 5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} a - 10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a^{2} + 10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{3} - 5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{4} + a^{5} - 2 \, b^{3} c + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} - 60 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a + 60 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{2} - 20 \, a^{3} - 120 \, {\left(d x + c\right)}^{\frac{1}{3}} b\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{5}} - \frac{{\left(2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} b^{3} c - 2 \, a b^{3} c - 5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{4} + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{3} a - 30 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} a^{2} + 20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a^{3} - 5 \, a^{4} + 60 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a + 60 \, a^{2} - 120\right)} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{5}}\right)}}{d}\right)}}{b d}"," ",0,"3*((2*(d*x + c)^(1/3)*sin((d*x + c)^(1/3)*b + a)/b - (((d*x + c)^(1/3)*b + a)^2 - 2*((d*x + c)^(1/3)*b + a)*a + a^2 - 2)*cos((d*x + c)^(1/3)*b + a)/b^2)*e + f*((((d*x + c)^(1/3)*b + a)^2*b^3*c - 2*((d*x + c)^(1/3)*b + a)*a*b^3*c + a^2*b^3*c - ((d*x + c)^(1/3)*b + a)^5 + 5*((d*x + c)^(1/3)*b + a)^4*a - 10*((d*x + c)^(1/3)*b + a)^3*a^2 + 10*((d*x + c)^(1/3)*b + a)^2*a^3 - 5*((d*x + c)^(1/3)*b + a)*a^4 + a^5 - 2*b^3*c + 20*((d*x + c)^(1/3)*b + a)^3 - 60*((d*x + c)^(1/3)*b + a)^2*a + 60*((d*x + c)^(1/3)*b + a)*a^2 - 20*a^3 - 120*(d*x + c)^(1/3)*b)*cos((d*x + c)^(1/3)*b + a)/b^5 - (2*((d*x + c)^(1/3)*b + a)*b^3*c - 2*a*b^3*c - 5*((d*x + c)^(1/3)*b + a)^4 + 20*((d*x + c)^(1/3)*b + a)^3*a - 30*((d*x + c)^(1/3)*b + a)^2*a^2 + 20*((d*x + c)^(1/3)*b + a)*a^3 - 5*a^4 + 60*((d*x + c)^(1/3)*b + a)^2 - 120*((d*x + c)^(1/3)*b + a)*a + 60*a^2 - 120)*sin((d*x + c)^(1/3)*b + a)/b^5)/d)/(b*d)","A",0
209,1,82,0,0.359795," ","integrate(sin(a+b*(d*x+c)^(1/3)),x, algorithm=""giac"")","\frac{3 \, {\left(\frac{2 \, {\left(d x + c\right)}^{\frac{1}{3}} \sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b} - \frac{{\left({\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}^{2} - 2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)} a + a^{2} - 2\right)} \cos\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{b^{2}}\right)}}{b d}"," ",0,"3*(2*(d*x + c)^(1/3)*sin((d*x + c)^(1/3)*b + a)/b - (((d*x + c)^(1/3)*b + a)^2 - 2*((d*x + c)^(1/3)*b + a)*a + a^2 - 2)*cos((d*x + c)^(1/3)*b + a)/b^2)/(b*d)","A",0
210,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(1/3))/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{f x + e}\,{d x}"," ",0,"integrate(sin((d*x + c)^(1/3)*b + a)/(f*x + e), x)","F",0
211,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(1/3))/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(sin((d*x + c)^(1/3)*b + a)/(f*x + e)^2, x)","F",0
212,1,777,0,0.834076," ","integrate((f*x+e)^2*sin(a+b*(d*x+c)^(2/3)),x, algorithm=""giac"")","-\frac{3 \, {\left(f^{2} {\left(\frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(-8 i \, b^{3} c^{2} - 105\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{b^{4} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} - \frac{2 i \, {\left(8 i \, {\left(d x + c\right)}^{\frac{7}{3}} b^{3} - 16 i \, {\left(d x + c\right)}^{\frac{4}{3}} b^{3} c + 8 i \, {\left(d x + c\right)}^{\frac{1}{3}} b^{3} c^{2} - 28 \, {\left(d x + c\right)}^{\frac{5}{3}} b^{2} + 32 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} c - {\left(70 i \, d x + 70 i \, c\right)} b + 32 i \, b c + 105 \, {\left(d x + c\right)}^{\frac{1}{3}}\right)} e^{\left(i \, {\left(d x + c\right)}^{\frac{2}{3}} b + i \, a\right)}}{b^{4}}}{d^{2}} + \frac{\frac{i \, \sqrt{2} \sqrt{\pi} {\left(-8 i \, b^{3} c^{2} + 105\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{b^{4} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} - \frac{2 i \, {\left(8 i \, {\left(d x + c\right)}^{\frac{7}{3}} b^{3} - 16 i \, {\left(d x + c\right)}^{\frac{4}{3}} b^{3} c + 8 i \, {\left(d x + c\right)}^{\frac{1}{3}} b^{3} c^{2} + 28 \, {\left(d x + c\right)}^{\frac{5}{3}} b^{2} - 32 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} c - {\left(70 i \, d x + 70 i \, c\right)} b + 32 i \, b c - 105 \, {\left(d x + c\right)}^{\frac{1}{3}}\right)} e^{\left(-i \, {\left(d x + c\right)}^{\frac{2}{3}} b - i \, a\right)}}{b^{4}}}{d^{2}}\right)} + 8 \, {\left(\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{b {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{b {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{2 \, {\left(d x + c\right)}^{\frac{1}{3}} e^{\left(i \, {\left(d x + c\right)}^{\frac{2}{3}} b + i \, a\right)}}{b} + \frac{2 \, {\left(d x + c\right)}^{\frac{1}{3}} e^{\left(-i \, {\left(d x + c\right)}^{\frac{2}{3}} b - i \, a\right)}}{b}\right)} e^{2} - \frac{16 \, {\left(\frac{\sqrt{2} \sqrt{\pi} c \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{b {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{\sqrt{2} \sqrt{\pi} c \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{b {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{2 i \, {\left(i \, {\left(d x + c\right)}^{\frac{4}{3}} b^{2} - i \, {\left(d x + c\right)}^{\frac{1}{3}} b^{2} c - 2 \, {\left(d x + c\right)}^{\frac{2}{3}} b - 2 i\right)} e^{\left(i \, {\left(d x + c\right)}^{\frac{2}{3}} b + i \, a\right)}}{b^{3}} + \frac{2 i \, {\left(i \, {\left(d x + c\right)}^{\frac{4}{3}} b^{2} - i \, {\left(d x + c\right)}^{\frac{1}{3}} b^{2} c + 2 \, {\left(d x + c\right)}^{\frac{2}{3}} b - 2 i\right)} e^{\left(-i \, {\left(d x + c\right)}^{\frac{2}{3}} b - i \, a\right)}}{b^{3}}\right)} f e}{d}\right)}}{64 \, d}"," ",0,"-3/64*(f^2*((I*sqrt(2)*sqrt(pi)*(-8*I*b^3*c^2 - 105)*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b^4*(-I*b/abs(b) + 1)*sqrt(abs(b))) - 2*I*(8*I*(d*x + c)^(7/3)*b^3 - 16*I*(d*x + c)^(4/3)*b^3*c + 8*I*(d*x + c)^(1/3)*b^3*c^2 - 28*(d*x + c)^(5/3)*b^2 + 32*(d*x + c)^(2/3)*b^2*c - (70*I*d*x + 70*I*c)*b + 32*I*b*c + 105*(d*x + c)^(1/3))*e^(I*(d*x + c)^(2/3)*b + I*a)/b^4)/d^2 + (I*sqrt(2)*sqrt(pi)*(-8*I*b^3*c^2 + 105)*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b^4*(I*b/abs(b) + 1)*sqrt(abs(b))) - 2*I*(8*I*(d*x + c)^(7/3)*b^3 - 16*I*(d*x + c)^(4/3)*b^3*c + 8*I*(d*x + c)^(1/3)*b^3*c^2 + 28*(d*x + c)^(5/3)*b^2 - 32*(d*x + c)^(2/3)*b^2*c - (70*I*d*x + 70*I*c)*b + 32*I*b*c - 105*(d*x + c)^(1/3))*e^(-I*(d*x + c)^(2/3)*b - I*a)/b^4)/d^2) + 8*(sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b*(-I*b/abs(b) + 1)*sqrt(abs(b))) + sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b*(I*b/abs(b) + 1)*sqrt(abs(b))) + 2*(d*x + c)^(1/3)*e^(I*(d*x + c)^(2/3)*b + I*a)/b + 2*(d*x + c)^(1/3)*e^(-I*(d*x + c)^(2/3)*b - I*a)/b)*e^2 - 16*(sqrt(2)*sqrt(pi)*c*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b*(-I*b/abs(b) + 1)*sqrt(abs(b))) + sqrt(2)*sqrt(pi)*c*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b*(I*b/abs(b) + 1)*sqrt(abs(b))) + 2*I*(I*(d*x + c)^(4/3)*b^2 - I*(d*x + c)^(1/3)*b^2*c - 2*(d*x + c)^(2/3)*b - 2*I)*e^(I*(d*x + c)^(2/3)*b + I*a)/b^3 + 2*I*(I*(d*x + c)^(4/3)*b^2 - I*(d*x + c)^(1/3)*b^2*c + 2*(d*x + c)^(2/3)*b - 2*I)*e^(-I*(d*x + c)^(2/3)*b - I*a)/b^3)*f*e/d)/d","C",0
213,1,407,0,1.642936," ","integrate((f*x+e)*sin(a+b*(d*x+c)^(2/3)),x, algorithm=""giac"")","-\frac{3 \, {\left({\left(\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{b {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{b {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{2 \, {\left(d x + c\right)}^{\frac{1}{3}} e^{\left(i \, {\left(d x + c\right)}^{\frac{2}{3}} b + i \, a\right)}}{b} + \frac{2 \, {\left(d x + c\right)}^{\frac{1}{3}} e^{\left(-i \, {\left(d x + c\right)}^{\frac{2}{3}} b - i \, a\right)}}{b}\right)} e - \frac{{\left(\frac{\sqrt{2} \sqrt{\pi} c \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{b {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{\sqrt{2} \sqrt{\pi} c \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{b {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{2 i \, {\left(i \, {\left(d x + c\right)}^{\frac{4}{3}} b^{2} - i \, {\left(d x + c\right)}^{\frac{1}{3}} b^{2} c - 2 \, {\left(d x + c\right)}^{\frac{2}{3}} b - 2 i\right)} e^{\left(i \, {\left(d x + c\right)}^{\frac{2}{3}} b + i \, a\right)}}{b^{3}} + \frac{2 i \, {\left(i \, {\left(d x + c\right)}^{\frac{4}{3}} b^{2} - i \, {\left(d x + c\right)}^{\frac{1}{3}} b^{2} c + 2 \, {\left(d x + c\right)}^{\frac{2}{3}} b - 2 i\right)} e^{\left(-i \, {\left(d x + c\right)}^{\frac{2}{3}} b - i \, a\right)}}{b^{3}}\right)} f}{d}\right)}}{8 \, d}"," ",0,"-3/8*((sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b*(-I*b/abs(b) + 1)*sqrt(abs(b))) + sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b*(I*b/abs(b) + 1)*sqrt(abs(b))) + 2*(d*x + c)^(1/3)*e^(I*(d*x + c)^(2/3)*b + I*a)/b + 2*(d*x + c)^(1/3)*e^(-I*(d*x + c)^(2/3)*b - I*a)/b)*e - (sqrt(2)*sqrt(pi)*c*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b*(-I*b/abs(b) + 1)*sqrt(abs(b))) + sqrt(2)*sqrt(pi)*c*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b*(I*b/abs(b) + 1)*sqrt(abs(b))) + 2*I*(I*(d*x + c)^(4/3)*b^2 - I*(d*x + c)^(1/3)*b^2*c - 2*(d*x + c)^(2/3)*b - 2*I)*e^(I*(d*x + c)^(2/3)*b + I*a)/b^3 + 2*I*(I*(d*x + c)^(4/3)*b^2 - I*(d*x + c)^(1/3)*b^2*c + 2*(d*x + c)^(2/3)*b - 2*I)*e^(-I*(d*x + c)^(2/3)*b - I*a)/b^3)*f/d)/d","C",0
214,1,170,0,0.756432," ","integrate(sin(a+b*(d*x+c)^(2/3)),x, algorithm=""giac"")","-\frac{3 \, {\left(\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(i \, a\right)}}{b {\left(-\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} {\left(d x + c\right)}^{\frac{1}{3}} {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}\right) e^{\left(-i \, a\right)}}{b {\left(\frac{i \, b}{{\left| b \right|}} + 1\right)} \sqrt{{\left| b \right|}}} + \frac{2 \, {\left(d x + c\right)}^{\frac{1}{3}} e^{\left(i \, {\left(d x + c\right)}^{\frac{2}{3}} b + i \, a\right)}}{b} + \frac{2 \, {\left(d x + c\right)}^{\frac{1}{3}} e^{\left(-i \, {\left(d x + c\right)}^{\frac{2}{3}} b - i \, a\right)}}{b}\right)}}{8 \, d}"," ",0,"-3/8*(sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(-I*b/abs(b) + 1)*sqrt(abs(b)))*e^(I*a)/(b*(-I*b/abs(b) + 1)*sqrt(abs(b))) + sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*(d*x + c)^(1/3)*(I*b/abs(b) + 1)*sqrt(abs(b)))*e^(-I*a)/(b*(I*b/abs(b) + 1)*sqrt(abs(b))) + 2*(d*x + c)^(1/3)*e^(I*(d*x + c)^(2/3)*b + I*a)/b + 2*(d*x + c)^(1/3)*e^(-I*(d*x + c)^(2/3)*b - I*a)/b)/d","C",0
215,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(2/3))/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{\frac{2}{3}} b + a\right)}{f x + e}\,{d x}"," ",0,"integrate(sin((d*x + c)^(2/3)*b + a)/(f*x + e), x)","F",0
216,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(2/3))/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{\frac{2}{3}} b + a\right)}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(sin((d*x + c)^(2/3)*b + a)/(f*x + e)^2, x)","F",0
217,-1,0,0,0.000000," ","integrate((f*x+e)^2*sin(a+b/(d*x+c)^(1/3)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
218,1,3728,0,3.095702," ","integrate((f*x+e)*sin(a+b/(d*x+c)^(1/3)),x, algorithm=""giac"")","\frac{\frac{120 \, {\left(a^{3} b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) + a^{3} b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{2} b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} - \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{2} b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} + \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} - \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} + a^{2} b^{4} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - \frac{2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a b^{4} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} b^{4} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} + a b^{4} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} b^{4} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} - 2 \, b^{4} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)\right)} e}{{\left(a^{3} - \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{2}}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3}}{d x + c}\right)} b} + \frac{{\left(a^{6} b^{7} \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) \sin\left(a\right) - a^{6} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - \frac{6 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{5} b^{7} \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{6 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{5} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{15 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a^{4} b^{7} \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{15 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a^{4} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} a^{3} b^{7} \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) \sin\left(a\right)}{d x + c} + \frac{20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} a^{3} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} + \frac{15 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{4} a^{2} b^{7} \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{4}{3}}} - \frac{15 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{4} a^{2} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{4}{3}}} - \frac{6 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{5} a b^{7} \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{\frac{5}{3}}} + \frac{6 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{5} a b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{5}{3}}} - a^{5} b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - 120 \, a^{6} b^{4} c \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) + \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{6} b^{7} \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) \sin\left(a\right)}{{\left(d x + c\right)}^{2}} - \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{6} b^{7} \cos\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{2}} - 120 \, a^{6} b^{4} c \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) + \frac{5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{4} b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{720 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{5} b^{4} c \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{720 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{5} b^{4} c \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} - \frac{10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a^{3} b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{1800 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a^{4} b^{4} c \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{1800 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a^{4} b^{4} c \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} + \frac{10 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} a^{2} b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} + \frac{2400 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} a^{3} b^{4} c \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} + a^{4} b^{7} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) + \frac{2400 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} a^{3} b^{4} c \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} - \frac{5 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{4} a b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{4}{3}}} - \frac{1800 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{4} a^{2} b^{4} c \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{4}{3}}} - \frac{4 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{3} b^{7} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} - \frac{1800 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{4} a^{2} b^{4} c \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{4}{3}}} + \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{5} b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{5}{3}}} + \frac{720 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{5} a b^{4} c \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{5}{3}}} + \frac{6 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a^{2} b^{7} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} + \frac{720 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{5} a b^{4} c \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{5}{3}}} + 2 \, a^{3} b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - \frac{120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{6} b^{4} c \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} a b^{7} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} - 120 \, a^{5} b^{4} c \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - \frac{120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{6} b^{4} c \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{2} b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{4} b^{7} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{4}{3}}} + \frac{600 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{4} b^{4} c \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{6 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{1200 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a^{3} b^{4} c \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} - 120 \, a^{4} b^{4} c \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - 6 \, a^{2} b^{7} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) + \frac{1200 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} a^{2} b^{4} c \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} + \frac{480 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{3} b^{4} c \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{12 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a b^{7} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} - \frac{600 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{4} a b^{4} c \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{4}{3}}} - \frac{720 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a^{2} b^{4} c \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{6 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} b^{7} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} + \frac{120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{5} b^{4} c \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{5}{3}}} - 24 \, a b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) + \frac{480 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} a b^{4} c \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} + 240 \, a^{3} b^{4} c \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) + \frac{24 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} b^{7} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} - \frac{120 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{4} b^{4} c \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{4}{3}}} - \frac{720 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{2} b^{4} c \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{720 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a b^{4} c \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} + 120 \, b^{7} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - \frac{240 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} b^{4} c \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c}\right)} f}{{\left(a^{6} - \frac{6 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{5}}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{15 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a^{4}}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{20 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} a^{3}}{d x + c} + \frac{15 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{4} a^{2}}{{\left(d x + c\right)}^{\frac{4}{3}}} - \frac{6 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{5} a}{{\left(d x + c\right)}^{\frac{5}{3}}} + \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{6}}{{\left(d x + c\right)}^{2}}\right)} b d}}{240 \, d}"," ",0,"1/240*(120*(a^3*b^4*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) + a^3*b^4*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - 3*((d*x + c)^(1/3)*a + b)*a^2*b^4*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) - 3*((d*x + c)^(1/3)*a + b)*a^2*b^4*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) + 3*((d*x + c)^(1/3)*a + b)^2*a*b^4*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) + 3*((d*x + c)^(1/3)*a + b)^2*a*b^4*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) - ((d*x + c)^(1/3)*a + b)^3*b^4*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) - ((d*x + c)^(1/3)*a + b)^3*b^4*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) + a^2*b^4*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - 2*((d*x + c)^(1/3)*a + b)*a*b^4*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) + ((d*x + c)^(1/3)*a + b)^2*b^4*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) + a*b^4*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - ((d*x + c)^(1/3)*a + b)*b^4*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) - 2*b^4*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)))*e/((a^3 - 3*((d*x + c)^(1/3)*a + b)*a^2/(d*x + c)^(1/3) + 3*((d*x + c)^(1/3)*a + b)^2*a/(d*x + c)^(2/3) - ((d*x + c)^(1/3)*a + b)^3/(d*x + c))*b) + (a^6*b^7*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))*sin(a) - a^6*b^7*cos(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - 6*((d*x + c)^(1/3)*a + b)*a^5*b^7*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))*sin(a)/(d*x + c)^(1/3) + 6*((d*x + c)^(1/3)*a + b)*a^5*b^7*cos(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) + 15*((d*x + c)^(1/3)*a + b)^2*a^4*b^7*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))*sin(a)/(d*x + c)^(2/3) - 15*((d*x + c)^(1/3)*a + b)^2*a^4*b^7*cos(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) - 20*((d*x + c)^(1/3)*a + b)^3*a^3*b^7*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))*sin(a)/(d*x + c) + 20*((d*x + c)^(1/3)*a + b)^3*a^3*b^7*cos(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) + 15*((d*x + c)^(1/3)*a + b)^4*a^2*b^7*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))*sin(a)/(d*x + c)^(4/3) - 15*((d*x + c)^(1/3)*a + b)^4*a^2*b^7*cos(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(4/3) - 6*((d*x + c)^(1/3)*a + b)^5*a*b^7*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))*sin(a)/(d*x + c)^(5/3) + 6*((d*x + c)^(1/3)*a + b)^5*a*b^7*cos(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(5/3) - a^5*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - 120*a^6*b^4*c*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) + ((d*x + c)^(1/3)*a + b)^6*b^7*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))*sin(a)/(d*x + c)^2 - ((d*x + c)^(1/3)*a + b)^6*b^7*cos(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^2 - 120*a^6*b^4*c*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) + 5*((d*x + c)^(1/3)*a + b)*a^4*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) + 720*((d*x + c)^(1/3)*a + b)*a^5*b^4*c*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) + 720*((d*x + c)^(1/3)*a + b)*a^5*b^4*c*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) - 10*((d*x + c)^(1/3)*a + b)^2*a^3*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) - 1800*((d*x + c)^(1/3)*a + b)^2*a^4*b^4*c*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) - 1800*((d*x + c)^(1/3)*a + b)^2*a^4*b^4*c*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) + 10*((d*x + c)^(1/3)*a + b)^3*a^2*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) + 2400*((d*x + c)^(1/3)*a + b)^3*a^3*b^4*c*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) + a^4*b^7*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) + 2400*((d*x + c)^(1/3)*a + b)^3*a^3*b^4*c*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) - 5*((d*x + c)^(1/3)*a + b)^4*a*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(4/3) - 1800*((d*x + c)^(1/3)*a + b)^4*a^2*b^4*c*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(4/3) - 4*((d*x + c)^(1/3)*a + b)*a^3*b^7*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) - 1800*((d*x + c)^(1/3)*a + b)^4*a^2*b^4*c*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(4/3) + ((d*x + c)^(1/3)*a + b)^5*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(5/3) + 720*((d*x + c)^(1/3)*a + b)^5*a*b^4*c*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(5/3) + 6*((d*x + c)^(1/3)*a + b)^2*a^2*b^7*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) + 720*((d*x + c)^(1/3)*a + b)^5*a*b^4*c*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(5/3) + 2*a^3*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - 120*((d*x + c)^(1/3)*a + b)^6*b^4*c*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^2 - 4*((d*x + c)^(1/3)*a + b)^3*a*b^7*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) - 120*a^5*b^4*c*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - 120*((d*x + c)^(1/3)*a + b)^6*b^4*c*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^2 - 6*((d*x + c)^(1/3)*a + b)*a^2*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) + ((d*x + c)^(1/3)*a + b)^4*b^7*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(4/3) + 600*((d*x + c)^(1/3)*a + b)*a^4*b^4*c*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) + 6*((d*x + c)^(1/3)*a + b)^2*a*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) - 1200*((d*x + c)^(1/3)*a + b)^2*a^3*b^4*c*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) - 2*((d*x + c)^(1/3)*a + b)^3*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) - 120*a^4*b^4*c*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - 6*a^2*b^7*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) + 1200*((d*x + c)^(1/3)*a + b)^3*a^2*b^4*c*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) + 480*((d*x + c)^(1/3)*a + b)*a^3*b^4*c*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) + 12*((d*x + c)^(1/3)*a + b)*a*b^7*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) - 600*((d*x + c)^(1/3)*a + b)^4*a*b^4*c*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(4/3) - 720*((d*x + c)^(1/3)*a + b)^2*a^2*b^4*c*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) - 6*((d*x + c)^(1/3)*a + b)^2*b^7*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) + 120*((d*x + c)^(1/3)*a + b)^5*b^4*c*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(5/3) - 24*a*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) + 480*((d*x + c)^(1/3)*a + b)^3*a*b^4*c*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) + 240*a^3*b^4*c*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) + 24*((d*x + c)^(1/3)*a + b)*b^7*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) - 120*((d*x + c)^(1/3)*a + b)^4*b^4*c*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(4/3) - 720*((d*x + c)^(1/3)*a + b)*a^2*b^4*c*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) + 720*((d*x + c)^(1/3)*a + b)^2*a*b^4*c*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) + 120*b^7*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - 240*((d*x + c)^(1/3)*a + b)^3*b^4*c*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c))*f/((a^6 - 6*((d*x + c)^(1/3)*a + b)*a^5/(d*x + c)^(1/3) + 15*((d*x + c)^(1/3)*a + b)^2*a^4/(d*x + c)^(2/3) - 20*((d*x + c)^(1/3)*a + b)^3*a^3/(d*x + c) + 15*((d*x + c)^(1/3)*a + b)^4*a^2/(d*x + c)^(4/3) - 6*((d*x + c)^(1/3)*a + b)^5*a/(d*x + c)^(5/3) + ((d*x + c)^(1/3)*a + b)^6/(d*x + c)^2)*b*d))/d","B",0
219,1,663,0,1.380752," ","integrate(sin(a+b/(d*x+c)^(1/3)),x, algorithm=""giac"")","\frac{a^{3} b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) + a^{3} b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{2} b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} - \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{2} b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} + \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} b^{4} \cos\left(a\right) \operatorname{Ci}\left(-a + \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} - \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3} b^{4} \sin\left(a\right) \operatorname{Si}\left(a - \frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{d x + c} + a^{2} b^{4} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - \frac{2 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a b^{4} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} b^{4} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{2}{3}}} + a b^{4} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right) - \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} b^{4} \cos\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d x + c\right)}^{\frac{1}{3}}} - 2 \, b^{4} \sin\left(\frac{{\left(d x + c\right)}^{\frac{1}{3}} a + b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{2 \, {\left(a^{3} - \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)} a^{2}}{{\left(d x + c\right)}^{\frac{1}{3}}} + \frac{3 \, {\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{2} a}{{\left(d x + c\right)}^{\frac{2}{3}}} - \frac{{\left({\left(d x + c\right)}^{\frac{1}{3}} a + b\right)}^{3}}{d x + c}\right)} b d}"," ",0,"1/2*(a^3*b^4*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) + a^3*b^4*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - 3*((d*x + c)^(1/3)*a + b)*a^2*b^4*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) - 3*((d*x + c)^(1/3)*a + b)*a^2*b^4*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) + 3*((d*x + c)^(1/3)*a + b)^2*a*b^4*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) + 3*((d*x + c)^(1/3)*a + b)^2*a*b^4*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) - ((d*x + c)^(1/3)*a + b)^3*b^4*cos(a)*cos_integral(-a + ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) - ((d*x + c)^(1/3)*a + b)^3*b^4*sin(a)*sin_integral(a - ((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c) + a^2*b^4*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - 2*((d*x + c)^(1/3)*a + b)*a*b^4*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) + ((d*x + c)^(1/3)*a + b)^2*b^4*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(2/3) + a*b^4*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)) - ((d*x + c)^(1/3)*a + b)*b^4*cos(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3))/(d*x + c)^(1/3) - 2*b^4*sin(((d*x + c)^(1/3)*a + b)/(d*x + c)^(1/3)))/((a^3 - 3*((d*x + c)^(1/3)*a + b)*a^2/(d*x + c)^(1/3) + 3*((d*x + c)^(1/3)*a + b)^2*a/(d*x + c)^(2/3) - ((d*x + c)^(1/3)*a + b)^3/(d*x + c))*b*d)","B",0
220,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(1/3))/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{f x + e}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(1/3))/(f*x + e), x)","F",0
221,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(1/3))/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(1/3))/(f*x + e)^2, x)","F",0
222,0,0,0,0.000000," ","integrate((f*x+e)^2*sin(a+b/(d*x+c)^(2/3)),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} \sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)\,{d x}"," ",0,"integrate((f*x + e)^2*sin(a + b/(d*x + c)^(2/3)), x)","F",0
223,0,0,0,0.000000," ","integrate((f*x+e)*sin(a+b/(d*x+c)^(2/3)),x, algorithm=""giac"")","\int {\left(f x + e\right)} \sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)\,{d x}"," ",0,"integrate((f*x + e)*sin(a + b/(d*x + c)^(2/3)), x)","F",0
224,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(2/3)),x, algorithm=""giac"")","\int \sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(2/3)), x)","F",0
225,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(2/3))/(f*x+e),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)}{f x + e}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(2/3))/(f*x + e), x)","F",0
226,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(2/3))/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(2/3))/(f*x + e)^2, x)","F",0
227,1,566,0,0.728506," ","integrate((d*e*x+c*e)^(4/3)*sin(a+b*(d*x+c)^(1/3)),x, algorithm=""giac"")","\frac{3 \, {\left({\left(2 \, {\left(\frac{{\left({\left(d x e + c e\right)} b^{3} c e^{3} - 6 \, {\left(d x e + c e\right)}^{\frac{1}{3}} b c e^{\frac{11}{3}}\right)} \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\left(-\frac{8}{3}\right)}}{b^{4} d^{2}} - \frac{3 \, {\left({\left(d x e + c e\right)}^{\frac{2}{3}} b^{2} c e^{\frac{10}{3}} - 2 \, c e^{4}\right)} e^{\left(-\frac{8}{3}\right)} \sin\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right)}{b^{4} d^{2}}\right)} e^{\left(-1\right)} - {\left(\frac{{\left({\left(d x e + c e\right)}^{2} b^{6} e^{5} - 30 \, {\left(d x e + c e\right)}^{\frac{4}{3}} b^{4} e^{\frac{17}{3}} + 360 \, {\left(d x e + c e\right)}^{\frac{2}{3}} b^{2} e^{\frac{19}{3}} - 720 \, e^{7}\right)} \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\left(-\frac{14}{3}\right)}}{b^{7} d^{2}} - \frac{6 \, {\left({\left(d x e + c e\right)}^{\frac{5}{3}} b^{5} e^{\frac{16}{3}} - 20 \, {\left(d x e + c e\right)} b^{3} e^{6} + 120 \, {\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{20}{3}}\right)} e^{\left(-\frac{14}{3}\right)} \sin\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right)}{b^{7} d^{2}}\right)} e^{\left(-2\right)} - \frac{c^{2} \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\frac{1}{3}}}{b d^{2}}\right)} d^{2} e - \frac{c^{2} \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\frac{4}{3}}}{b} + 2 \, {\left(\frac{c \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\frac{4}{3}}}{b} - \frac{{\left({\left(d x e + c e\right)} b^{3} e^{3} - 6 \, {\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{11}{3}}\right)} \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\left(-\frac{8}{3}\right)}}{b^{4}} + \frac{3 \, {\left({\left(d x e + c e\right)}^{\frac{2}{3}} b^{2} e^{\frac{10}{3}} - 2 \, e^{4}\right)} e^{\left(-\frac{8}{3}\right)} \sin\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right)}{b^{4}}\right)} c\right)}}{d}"," ",0,"3*((2*(((d*x*e + c*e)*b^3*c*e^3 - 6*(d*x*e + c*e)^(1/3)*b*c*e^(11/3))*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(-8/3)/(b^4*d^2) - 3*((d*x*e + c*e)^(2/3)*b^2*c*e^(10/3) - 2*c*e^4)*e^(-8/3)*sin(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))/(b^4*d^2))*e^(-1) - (((d*x*e + c*e)^2*b^6*e^5 - 30*(d*x*e + c*e)^(4/3)*b^4*e^(17/3) + 360*(d*x*e + c*e)^(2/3)*b^2*e^(19/3) - 720*e^7)*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(-14/3)/(b^7*d^2) - 6*((d*x*e + c*e)^(5/3)*b^5*e^(16/3) - 20*(d*x*e + c*e)*b^3*e^6 + 120*(d*x*e + c*e)^(1/3)*b*e^(20/3))*e^(-14/3)*sin(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))/(b^7*d^2))*e^(-2) - c^2*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(1/3)/(b*d^2))*d^2*e - c^2*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(4/3)/b + 2*(c*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(4/3)/b - ((d*x*e + c*e)*b^3*e^3 - 6*(d*x*e + c*e)^(1/3)*b*e^(11/3))*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(-8/3)/b^4 + 3*((d*x*e + c*e)^(2/3)*b^2*e^(10/3) - 2*e^4)*e^(-8/3)*sin(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))/b^4)*c)/d","B",0
228,1,310,0,1.057014," ","integrate((d*e*x+c*e)^(2/3)*sin(a+b*(d*x+c)^(1/3)),x, algorithm=""giac"")","-\frac{3 \, {\left({\left(\frac{{\left(d x e + c e\right)}^{\frac{1}{3}} \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\frac{1}{3}}}{b} - \frac{e^{\frac{2}{3}} \sin\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right)}{b^{2}}\right)} c - {\left({\left(\frac{{\left(d x e + c e\right)}^{\frac{1}{3}} c \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\frac{1}{3}}}{b} - \frac{c e^{\frac{2}{3}} \sin\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right)}{b^{2}}\right)} e - \frac{{\left({\left(d x e + c e\right)}^{\frac{4}{3}} b^{4} e^{\frac{11}{3}} - 12 \, {\left(d x e + c e\right)}^{\frac{2}{3}} b^{2} e^{\frac{13}{3}} + 24 \, e^{5}\right)} \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\left(-\frac{10}{3}\right)}}{b^{5}} + \frac{4 \, {\left({\left(d x e + c e\right)} b^{3} e^{4} - 6 \, {\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{14}{3}}\right)} e^{\left(-\frac{10}{3}\right)} \sin\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right)}{b^{5}}\right)} e^{\left(-1\right)}\right)}}{d}"," ",0,"-3*(((d*x*e + c*e)^(1/3)*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(1/3)/b - e^(2/3)*sin(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))/b^2)*c - (((d*x*e + c*e)^(1/3)*c*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(1/3)/b - c*e^(2/3)*sin(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))/b^2)*e - ((d*x*e + c*e)^(4/3)*b^4*e^(11/3) - 12*(d*x*e + c*e)^(2/3)*b^2*e^(13/3) + 24*e^5)*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(-10/3)/b^5 + 4*((d*x*e + c*e)*b^3*e^4 - 6*(d*x*e + c*e)^(1/3)*b*e^(14/3))*e^(-10/3)*sin(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))/b^5)*e^(-1))/d","A",0
229,1,196,0,0.953884," ","integrate((d*e*x+c*e)^(1/3)*sin(a+b*(d*x+c)^(1/3)),x, algorithm=""giac"")","-\frac{3 \, {\left(\frac{c \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\frac{1}{3}}}{b} - {\left(\frac{c \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\frac{4}{3}}}{b} - \frac{{\left({\left(d x e + c e\right)} b^{3} e^{3} - 6 \, {\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{11}{3}}\right)} \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\left(-\frac{8}{3}\right)}}{b^{4}} + \frac{3 \, {\left({\left(d x e + c e\right)}^{\frac{2}{3}} b^{2} e^{\frac{10}{3}} - 2 \, e^{4}\right)} e^{\left(-\frac{8}{3}\right)} \sin\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right)}{b^{4}}\right)} e^{\left(-1\right)}\right)}}{d}"," ",0,"-3*(c*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(1/3)/b - (c*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(4/3)/b - ((d*x*e + c*e)*b^3*e^3 - 6*(d*x*e + c*e)^(1/3)*b*e^(11/3))*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(-8/3)/b^4 + 3*((d*x*e + c*e)^(2/3)*b^2*e^(10/3) - 2*e^4)*e^(-8/3)*sin(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))/b^4)*e^(-1))/d","A",0
230,1,83,0,1.244355," ","integrate(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(1/3),x, algorithm=""giac"")","-\frac{3 \, {\left(\frac{{\left(d x e + c e\right)}^{\frac{1}{3}} \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\frac{1}{3}}}{b} - \frac{e^{\frac{2}{3}} \sin\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right)}{b^{2}}\right)} e^{\left(-1\right)}}{d}"," ",0,"-3*((d*x*e + c*e)^(1/3)*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(1/3)/b - e^(2/3)*sin(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))/b^2)*e^(-1)/d","A",0
231,1,35,0,0.781204," ","integrate(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(2/3),x, algorithm=""giac"")","-\frac{3 \, \cos\left({\left({\left(d x e + c e\right)}^{\frac{1}{3}} b e^{\frac{2}{3}} + a e\right)} e^{\left(-1\right)}\right) e^{\left(-\frac{2}{3}\right)}}{b d}"," ",0,"-3*cos(((d*x*e + c*e)^(1/3)*b*e^(2/3) + a*e)*e^(-1))*e^(-2/3)/(b*d)","A",0
232,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(4/3),x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{{\left(d e x + c e\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sin((d*x + c)^(1/3)*b + a)/(d*e*x + c*e)^(4/3), x)","F",0
233,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(5/3),x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{{\left(d e x + c e\right)}^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(sin((d*x + c)^(1/3)*b + a)/(d*e*x + c*e)^(5/3), x)","F",0
234,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(1/3))/(d*e*x+c*e)^(7/3),x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{{\left(d e x + c e\right)}^{\frac{7}{3}}}\,{d x}"," ",0,"integrate(sin((d*x + c)^(1/3)*b + a)/(d*e*x + c*e)^(7/3), x)","F",0
235,1,713,0,1.086768," ","integrate((d*e*x+c*e)^(4/3)*sin(a+b*(d*x+c)^(2/3)),x, algorithm=""giac"")","-\frac{3 \, {\left(8 \, {\left(-\frac{i \, \sqrt{\pi} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(i \, a\right)}}{\sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}} + \frac{i \, \sqrt{\pi} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(-i \, a\right)}}{\sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}}\right)} c^{2} e + {\left(-\frac{8 i \, \sqrt{\pi} c^{2} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(i \, a\right)}}{\sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}} d^{2}} + \frac{8 i \, \sqrt{\pi} c^{2} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(-i \, a\right)}}{\sqrt{i \, b e^{\left(-\frac{2}{3}\right)}} d^{2}} + \frac{-\frac{2 i \, {\left(4 i \, {\left(d x e + c e\right)}^{\frac{5}{3}} b^{2} e^{\left(-\frac{4}{3}\right)} - 10 \, {\left(d x e + c e\right)} b e^{\left(-\frac{2}{3}\right)} - 15 i \, {\left(d x e + c e\right)}^{\frac{1}{3}}\right)} e^{\left(i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} + i \, a\right)}}{b^{3}} - \frac{15 \, \sqrt{\pi} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(i \, a\right)}}{\sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}} b^{3}}}{d^{2}} + \frac{-\frac{2 i \, {\left(4 i \, {\left(d x e + c e\right)}^{\frac{5}{3}} b^{2} e^{\left(-\frac{4}{3}\right)} + 10 \, {\left(d x e + c e\right)} b e^{\left(-\frac{2}{3}\right)} - 15 i \, {\left(d x e + c e\right)}^{\frac{1}{3}}\right)} e^{\left(-i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} - i \, a\right)}}{b^{3}} - \frac{15 \, \sqrt{\pi} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(-i \, a\right)}}{\sqrt{i \, b e^{\left(-\frac{2}{3}\right)}} b^{3}}}{d^{2}} - \frac{16 i \, {\left(-i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b c e^{\left(-\frac{2}{3}\right)} + c\right)} e^{\left(i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} + i \, a + \frac{1}{3}\right)}}{b^{2} d^{2}} - \frac{16 i \, {\left(-i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b c e^{\left(-\frac{2}{3}\right)} - c\right)} e^{\left(-i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} - i \, a + \frac{1}{3}\right)}}{b^{2} d^{2}}\right)} d^{2} e + 16 \, {\left(\frac{i \, \sqrt{\pi} c \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(i \, a + 1\right)}}{\sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}} - \frac{i \, \sqrt{\pi} c \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(-i \, a + 1\right)}}{\sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}} - \frac{i \, {\left(i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} - 1\right)} e^{\left(i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} + i \, a + \frac{4}{3}\right)}}{b^{2}} - \frac{i \, {\left(i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} + 1\right)} e^{\left(-i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} - i \, a + \frac{4}{3}\right)}}{b^{2}}\right)} c\right)}}{32 \, d}"," ",0,"-3/32*(8*(-I*sqrt(pi)*erf(-(d*x*e + c*e)^(1/3)*sqrt(-I*b*e^(-2/3)))*e^(I*a)/sqrt(-I*b*e^(-2/3)) + I*sqrt(pi)*erf(-(d*x*e + c*e)^(1/3)*sqrt(I*b*e^(-2/3)))*e^(-I*a)/sqrt(I*b*e^(-2/3)))*c^2*e + (-8*I*sqrt(pi)*c^2*erf(-(d*x*e + c*e)^(1/3)*sqrt(-I*b*e^(-2/3)))*e^(I*a)/(sqrt(-I*b*e^(-2/3))*d^2) + 8*I*sqrt(pi)*c^2*erf(-(d*x*e + c*e)^(1/3)*sqrt(I*b*e^(-2/3)))*e^(-I*a)/(sqrt(I*b*e^(-2/3))*d^2) + (-2*I*(4*I*(d*x*e + c*e)^(5/3)*b^2*e^(-4/3) - 10*(d*x*e + c*e)*b*e^(-2/3) - 15*I*(d*x*e + c*e)^(1/3))*e^(I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) + I*a)/b^3 - 15*sqrt(pi)*erf(-(d*x*e + c*e)^(1/3)*sqrt(-I*b*e^(-2/3)))*e^(I*a)/(sqrt(-I*b*e^(-2/3))*b^3))/d^2 + (-2*I*(4*I*(d*x*e + c*e)^(5/3)*b^2*e^(-4/3) + 10*(d*x*e + c*e)*b*e^(-2/3) - 15*I*(d*x*e + c*e)^(1/3))*e^(-I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) - I*a)/b^3 - 15*sqrt(pi)*erf(-(d*x*e + c*e)^(1/3)*sqrt(I*b*e^(-2/3)))*e^(-I*a)/(sqrt(I*b*e^(-2/3))*b^3))/d^2 - 16*I*(-I*(d*x*e + c*e)^(2/3)*b*c*e^(-2/3) + c)*e^(I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) + I*a + 1/3)/(b^2*d^2) - 16*I*(-I*(d*x*e + c*e)^(2/3)*b*c*e^(-2/3) - c)*e^(-I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) - I*a + 1/3)/(b^2*d^2))*d^2*e + 16*(I*sqrt(pi)*c*erf(-(d*x*e + c*e)^(1/3)*sqrt(-I*b*e^(-2/3)))*e^(I*a + 1)/sqrt(-I*b*e^(-2/3)) - I*sqrt(pi)*c*erf(-(d*x*e + c*e)^(1/3)*sqrt(I*b*e^(-2/3)))*e^(-I*a + 1)/sqrt(I*b*e^(-2/3)) - I*(I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) - 1)*e^(I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) + I*a + 4/3)/b^2 - I*(I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) + 1)*e^(-I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) - I*a + 4/3)/b^2)*c)/d","C",0
236,1,321,0,0.721206," ","integrate((d*e*x+c*e)^(2/3)*sin(a+b*(d*x+c)^(2/3)),x, algorithm=""giac"")","-\frac{3 \, {\left(\frac{4 \, c {\left(\cos\left({\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} + a\right) + \cos\left(-{\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} - a\right)\right)} e^{\frac{2}{3}}}{b} - {\left(\frac{4 \, c e^{\left(i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} + i \, a + \frac{5}{3}\right)}}{b} + \frac{4 \, c e^{\left(-i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} - i \, a + \frac{5}{3}\right)}}{b} + \frac{2 i \, {\left(2 i \, {\left(d x e + c e\right)} b e^{\left(-\frac{2}{3}\right)} - 3 \, {\left(d x e + c e\right)}^{\frac{1}{3}}\right)} e^{\left(i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} + i \, a + \frac{4}{3}\right)}}{b^{2}} + \frac{2 i \, {\left(2 i \, {\left(d x e + c e\right)} b e^{\left(-\frac{2}{3}\right)} + 3 \, {\left(d x e + c e\right)}^{\frac{1}{3}}\right)} e^{\left(-i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} - i \, a + \frac{4}{3}\right)}}{b^{2}} - \frac{3 i \, \sqrt{\pi} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(i \, a + \frac{4}{3}\right)}}{\sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}} b^{2}} + \frac{3 i \, \sqrt{\pi} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(-i \, a + \frac{4}{3}\right)}}{\sqrt{i \, b e^{\left(-\frac{2}{3}\right)}} b^{2}}\right)} e^{\left(-1\right)}\right)}}{16 \, d}"," ",0,"-3/16*(4*c*(cos((d*x*e + c*e)^(2/3)*b*e^(-2/3) + a) + cos(-(d*x*e + c*e)^(2/3)*b*e^(-2/3) - a))*e^(2/3)/b - (4*c*e^(I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) + I*a + 5/3)/b + 4*c*e^(-I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) - I*a + 5/3)/b + 2*I*(2*I*(d*x*e + c*e)*b*e^(-2/3) - 3*(d*x*e + c*e)^(1/3))*e^(I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) + I*a + 4/3)/b^2 + 2*I*(2*I*(d*x*e + c*e)*b*e^(-2/3) + 3*(d*x*e + c*e)^(1/3))*e^(-I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) - I*a + 4/3)/b^2 - 3*I*sqrt(pi)*erf(-(d*x*e + c*e)^(1/3)*sqrt(-I*b*e^(-2/3)))*e^(I*a + 4/3)/(sqrt(-I*b*e^(-2/3))*b^2) + 3*I*sqrt(pi)*erf(-(d*x*e + c*e)^(1/3)*sqrt(I*b*e^(-2/3)))*e^(-I*a + 4/3)/(sqrt(I*b*e^(-2/3))*b^2))*e^(-1))/d","C",0
237,1,265,0,1.853389," ","integrate((d*e*x+c*e)^(1/3)*sin(a+b*(d*x+c)^(2/3)),x, algorithm=""giac"")","-\frac{3 \, {\left({\left(-\frac{i \, \sqrt{\pi} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(i \, a\right)}}{\sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}} + \frac{i \, \sqrt{\pi} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(-i \, a\right)}}{\sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}}\right)} c + {\left(\frac{i \, \sqrt{\pi} c \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(i \, a + 1\right)}}{\sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}} - \frac{i \, \sqrt{\pi} c \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(-i \, a + 1\right)}}{\sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}} - \frac{i \, {\left(i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} - 1\right)} e^{\left(i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} + i \, a + \frac{4}{3}\right)}}{b^{2}} - \frac{i \, {\left(i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} + 1\right)} e^{\left(-i \, {\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} - i \, a + \frac{4}{3}\right)}}{b^{2}}\right)} e^{\left(-1\right)}\right)}}{4 \, d}"," ",0,"-3/4*((-I*sqrt(pi)*erf(-(d*x*e + c*e)^(1/3)*sqrt(-I*b*e^(-2/3)))*e^(I*a)/sqrt(-I*b*e^(-2/3)) + I*sqrt(pi)*erf(-(d*x*e + c*e)^(1/3)*sqrt(I*b*e^(-2/3)))*e^(-I*a)/sqrt(I*b*e^(-2/3)))*c + (I*sqrt(pi)*c*erf(-(d*x*e + c*e)^(1/3)*sqrt(-I*b*e^(-2/3)))*e^(I*a + 1)/sqrt(-I*b*e^(-2/3)) - I*sqrt(pi)*c*erf(-(d*x*e + c*e)^(1/3)*sqrt(I*b*e^(-2/3)))*e^(-I*a + 1)/sqrt(I*b*e^(-2/3)) - I*(I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) - 1)*e^(I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) + I*a + 4/3)/b^2 - I*(I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) + 1)*e^(-I*(d*x*e + c*e)^(2/3)*b*e^(-2/3) - I*a + 4/3)/b^2)*e^(-1))/d","C",0
238,1,52,0,0.540946," ","integrate(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(1/3),x, algorithm=""giac"")","-\frac{3 \, {\left(\cos\left({\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} + a\right) + \cos\left(-{\left(d x e + c e\right)}^{\frac{2}{3}} b e^{\left(-\frac{2}{3}\right)} - a\right)\right)} e^{\left(-\frac{1}{3}\right)}}{4 \, b d}"," ",0,"-3/4*(cos((d*x*e + c*e)^(2/3)*b*e^(-2/3) + a) + cos(-(d*x*e + c*e)^(2/3)*b*e^(-2/3) - a))*e^(-1/3)/(b*d)","A",0
239,1,84,0,1.608619," ","integrate(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(2/3),x, algorithm=""giac"")","-\frac{3 \, {\left(-\frac{i \, \sqrt{\pi} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(i \, a\right)}}{\sqrt{-i \, b e^{\left(-\frac{2}{3}\right)}}} + \frac{i \, \sqrt{\pi} \operatorname{erf}\left(-{\left(d x e + c e\right)}^{\frac{1}{3}} \sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}\right) e^{\left(-i \, a\right)}}{\sqrt{i \, b e^{\left(-\frac{2}{3}\right)}}}\right)} e^{\left(-1\right)}}{4 \, d}"," ",0,"-3/4*(-I*sqrt(pi)*erf(-(d*x*e + c*e)^(1/3)*sqrt(-I*b*e^(-2/3)))*e^(I*a)/sqrt(-I*b*e^(-2/3)) + I*sqrt(pi)*erf(-(d*x*e + c*e)^(1/3)*sqrt(I*b*e^(-2/3)))*e^(-I*a)/sqrt(I*b*e^(-2/3)))*e^(-1)/d","C",0
240,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(4/3),x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{\frac{2}{3}} b + a\right)}{{\left(d e x + c e\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sin((d*x + c)^(2/3)*b + a)/(d*e*x + c*e)^(4/3), x)","F",0
241,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^(2/3))/(d*e*x+c*e)^(5/3),x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{\frac{2}{3}} b + a\right)}{{\left(d e x + c e\right)}^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(sin((d*x + c)^(2/3)*b + a)/(d*e*x + c*e)^(5/3), x)","F",0
242,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(1/3)*sin(a+b/(d*x+c)^(1/3)),x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{\frac{1}{3}} \sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)\,{d x}"," ",0,"integrate((d*e*x + c*e)^(1/3)*sin(a + b/(d*x + c)^(1/3)), x)","F",0
243,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(1/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(1/3))/(d*e*x + c*e)^(1/3), x)","F",0
244,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(2/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(1/3))/(d*e*x + c*e)^(2/3), x)","F",0
245,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(4/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(1/3))/(d*e*x + c*e)^(4/3), x)","F",0
246,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(5/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(1/3))/(d*e*x + c*e)^(5/3), x)","F",0
247,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(7/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{7}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(1/3))/(d*e*x + c*e)^(7/3), x)","F",0
248,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(1/3))/(d*e*x+c*e)^(8/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{1}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{8}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(1/3))/(d*e*x + c*e)^(8/3), x)","F",0
249,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^(4/3)*sin(a+b/(d*x+c)^(2/3)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0,6,1,0,0,0]%%%}+%%%{-2,[0,3,1,1,1,0]%%%}+%%%{1,[0,0,1,2,2,0]%%%} / %%%{1,[0,0,0,0,2,2]%%%} Error: Bad Argument Value","F(-2)",0
250,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(2/3)*sin(a+b/(d*x+c)^(2/3)),x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{\frac{2}{3}} \sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)\,{d x}"," ",0,"integrate((d*e*x + c*e)^(2/3)*sin(a + b/(d*x + c)^(2/3)), x)","F",0
251,0,0,0,0.000000," ","integrate((d*e*x+c*e)^(1/3)*sin(a+b/(d*x+c)^(2/3)),x, algorithm=""giac"")","\int {\left(d e x + c e\right)}^{\frac{1}{3}} \sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)\,{d x}"," ",0,"integrate((d*e*x + c*e)^(1/3)*sin(a + b/(d*x + c)^(2/3)), x)","F",0
252,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(1/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(2/3))/(d*e*x + c*e)^(1/3), x)","F",0
253,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(2/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(2/3))/(d*e*x + c*e)^(2/3), x)","F",0
254,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(4/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(2/3))/(d*e*x + c*e)^(4/3), x)","F",0
255,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(5/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(2/3))/(d*e*x + c*e)^(5/3), x)","F",0
256,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(7/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{7}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(2/3))/(d*e*x + c*e)^(7/3), x)","F",0
257,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(8/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{8}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(2/3))/(d*e*x + c*e)^(8/3), x)","F",0
258,0,0,0,0.000000," ","integrate(sin(a+b/(d*x+c)^(2/3))/(d*e*x+c*e)^(10/3),x, algorithm=""giac"")","\int \frac{\sin\left(a + \frac{b}{{\left(d x + c\right)}^{\frac{2}{3}}}\right)}{{\left(d e x + c e\right)}^{\frac{10}{3}}}\,{d x}"," ",0,"integrate(sin(a + b/(d*x + c)^(2/3))/(d*e*x + c*e)^(10/3), x)","F",0
259,0,0,0,0.000000," ","integrate((e*x)^m*sin(a+b*(d*x+c)^n),x, algorithm=""giac"")","\int \left(e x\right)^{m} \sin\left({\left(d x + c\right)}^{n} b + a\right)\,{d x}"," ",0,"integrate((e*x)^m*sin((d*x + c)^n*b + a), x)","F",0
260,0,0,0,0.000000," ","integrate(x^3*sin(a+b*(d*x+c)^n),x, algorithm=""giac"")","\int x^{3} \sin\left({\left(d x + c\right)}^{n} b + a\right)\,{d x}"," ",0,"integrate(x^3*sin((d*x + c)^n*b + a), x)","F",0
261,0,0,0,0.000000," ","integrate(x^2*sin(a+b*(d*x+c)^n),x, algorithm=""giac"")","\int x^{2} \sin\left({\left(d x + c\right)}^{n} b + a\right)\,{d x}"," ",0,"integrate(x^2*sin((d*x + c)^n*b + a), x)","F",0
262,0,0,0,0.000000," ","integrate(x*sin(a+b*(d*x+c)^n),x, algorithm=""giac"")","\int x \sin\left({\left(d x + c\right)}^{n} b + a\right)\,{d x}"," ",0,"integrate(x*sin((d*x + c)^n*b + a), x)","F",0
263,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^n),x, algorithm=""giac"")","\int \sin\left({\left(d x + c\right)}^{n} b + a\right)\,{d x}"," ",0,"integrate(sin((d*x + c)^n*b + a), x)","F",0
264,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^n)/x,x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{n} b + a\right)}{x}\,{d x}"," ",0,"integrate(sin((d*x + c)^n*b + a)/x, x)","F",0
265,0,0,0,0.000000," ","integrate(sin(a+b*(d*x+c)^n)/x^2,x, algorithm=""giac"")","\int \frac{\sin\left({\left(d x + c\right)}^{n} b + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(sin((d*x + c)^n*b + a)/x^2, x)","F",0
266,0,0,0,0.000000," ","integrate(x^3*(a+b*sin(c+d*(g*x+f)^n)),x, algorithm=""giac"")","\int {\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)} x^{3}\,{d x}"," ",0,"integrate((b*sin((g*x + f)^n*d + c) + a)*x^3, x)","F",0
267,0,0,0,0.000000," ","integrate(x^2*(a+b*sin(c+d*(g*x+f)^n)),x, algorithm=""giac"")","\int {\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate((b*sin((g*x + f)^n*d + c) + a)*x^2, x)","F",0
268,0,0,0,0.000000," ","integrate(x*(a+b*sin(c+d*(g*x+f)^n)),x, algorithm=""giac"")","\int {\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)} x\,{d x}"," ",0,"integrate((b*sin((g*x + f)^n*d + c) + a)*x, x)","F",0
269,0,0,0,0.000000," ","integrate(a+b*sin(c+d*(g*x+f)^n),x, algorithm=""giac"")","\int b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\,{d x}"," ",0,"integrate(b*sin((g*x + f)^n*d + c) + a, x)","F",0
270,0,0,0,0.000000," ","integrate((a+b*sin(c+d*(g*x+f)^n))/x,x, algorithm=""giac"")","\int \frac{b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a}{x}\,{d x}"," ",0,"integrate((b*sin((g*x + f)^n*d + c) + a)/x, x)","F",0
271,0,0,0,0.000000," ","integrate((a+b*sin(c+d*(g*x+f)^n))/x^2,x, algorithm=""giac"")","\int \frac{b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*sin((g*x + f)^n*d + c) + a)/x^2, x)","F",0
272,0,0,0,0.000000," ","integrate(x^2*(a+b*sin(c+d*(g*x+f)^n))^2,x, algorithm=""giac"")","\int {\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*sin((g*x + f)^n*d + c) + a)^2*x^2, x)","F",0
273,0,0,0,0.000000," ","integrate(x*(a+b*sin(c+d*(g*x+f)^n))^2,x, algorithm=""giac"")","\int {\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)}^{2} x\,{d x}"," ",0,"integrate((b*sin((g*x + f)^n*d + c) + a)^2*x, x)","F",0
274,0,0,0,0.000000," ","integrate((a+b*sin(c+d*(g*x+f)^n))^2,x, algorithm=""giac"")","\int {\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*sin((g*x + f)^n*d + c) + a)^2, x)","F",0
275,0,0,0,0.000000," ","integrate((a+b*sin(c+d*(g*x+f)^n))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*sin((g*x + f)^n*d + c) + a)^2/x, x)","F",0
276,0,0,0,0.000000," ","integrate((a+b*sin(c+d*(g*x+f)^n))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*sin((g*x + f)^n*d + c) + a)^2/x^2, x)","F",0
277,0,0,0,0.000000," ","integrate(x^2/(a+b*sin(c+d*(g*x+f)^n)),x, algorithm=""giac"")","\int \frac{x^{2}}{b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a}\,{d x}"," ",0,"integrate(x^2/(b*sin((g*x + f)^n*d + c) + a), x)","F",0
278,0,0,0,0.000000," ","integrate(x/(a+b*sin(c+d*(g*x+f)^n)),x, algorithm=""giac"")","\int \frac{x}{b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a}\,{d x}"," ",0,"integrate(x/(b*sin((g*x + f)^n*d + c) + a), x)","F",0
279,0,0,0,0.000000," ","integrate(1/(a+b*sin(c+d*(g*x+f)^n)),x, algorithm=""giac"")","\int \frac{1}{b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a}\,{d x}"," ",0,"integrate(1/(b*sin((g*x + f)^n*d + c) + a), x)","F",0
280,0,0,0,0.000000," ","integrate(1/x/(a+b*sin(c+d*(g*x+f)^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*sin((g*x + f)^n*d + c) + a)*x), x)","F",0
281,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sin(c+d*(g*x+f)^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*sin((g*x + f)^n*d + c) + a)*x^2), x)","F",0
282,0,0,0,0.000000," ","integrate(x^2/(a+b*sin(c+d*(g*x+f)^n))^2,x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^2/(b*sin((g*x + f)^n*d + c) + a)^2, x)","F",0
283,0,0,0,0.000000," ","integrate(x/(a+b*sin(c+d*(g*x+f)^n))^2,x, algorithm=""giac"")","\int \frac{x}{{\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x/(b*sin((g*x + f)^n*d + c) + a)^2, x)","F",0
284,0,0,0,0.000000," ","integrate(1/(a+b*sin(c+d*(g*x+f)^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((b*sin((g*x + f)^n*d + c) + a)^(-2), x)","F",0
285,0,0,0,0.000000," ","integrate(1/x/(a+b*sin(c+d*(g*x+f)^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((b*sin((g*x + f)^n*d + c) + a)^2*x), x)","F",0
286,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sin(c+d*(g*x+f)^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((b*sin((g*x + f)^n*d + c) + a)^2*x^2), x)","F",0
287,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sin(c+d*(g*x+f)^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} {\left(b \sin\left({\left(g x + f\right)}^{n} d + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*sin((g*x + f)^n*d + c) + a)^p, x)","F",0
288,1,1264,0,1.550462," ","integrate((f*x+e)^2*(a+b*sin(c+d/x)),x, algorithm=""giac"")","\frac{b c^{3} d^{4} f^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) + b c^{3} d^{4} f^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right) - \frac{3 \, {\left(c x + d\right)} b c^{2} d^{4} f^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right)}{x} + 6 \, b c^{3} d^{3} f \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e \sin\left(c\right) - 6 \, b c^{3} d^{3} f \cos\left(c\right) e \operatorname{Si}\left(c - \frac{c x + d}{x}\right) - \frac{3 \, {\left(c x + d\right)} b c^{2} d^{4} f^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x} + \frac{3 \, {\left(c x + d\right)}^{2} b c d^{4} f^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right)}{x^{2}} - \frac{18 \, {\left(c x + d\right)} b c^{2} d^{3} f \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e \sin\left(c\right)}{x} + b c^{2} d^{4} f^{2} \sin\left(\frac{c x + d}{x}\right) + \frac{18 \, {\left(c x + d\right)} b c^{2} d^{3} f \cos\left(c\right) e \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x} + \frac{3 \, {\left(c x + d\right)}^{2} b c d^{4} f^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x^{2}} + b c d^{4} f^{2} \cos\left(\frac{c x + d}{x}\right) - \frac{{\left(c x + d\right)}^{3} b d^{4} f^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right)}{x^{3}} - 6 \, b c^{3} d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e^{2} - 6 \, b c^{2} d^{3} f \cos\left(\frac{c x + d}{x}\right) e + \frac{18 \, {\left(c x + d\right)}^{2} b c d^{3} f \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e \sin\left(c\right)}{x^{2}} - \frac{2 \, {\left(c x + d\right)} b c d^{4} f^{2} \sin\left(\frac{c x + d}{x}\right)}{x} - \frac{18 \, {\left(c x + d\right)}^{2} b c d^{3} f \cos\left(c\right) e \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x^{2}} - \frac{{\left(c x + d\right)}^{3} b d^{4} f^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x^{3}} - 6 \, b c^{3} d^{2} e^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right) - \frac{{\left(c x + d\right)} b d^{4} f^{2} \cos\left(\frac{c x + d}{x}\right)}{x} + \frac{18 \, {\left(c x + d\right)} b c^{2} d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e^{2}}{x} + \frac{12 \, {\left(c x + d\right)} b c d^{3} f \cos\left(\frac{c x + d}{x}\right) e}{x} - \frac{6 \, {\left(c x + d\right)}^{3} b d^{3} f \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e \sin\left(c\right)}{x^{3}} - 2 \, b d^{4} f^{2} \sin\left(\frac{c x + d}{x}\right) + \frac{{\left(c x + d\right)}^{2} b d^{4} f^{2} \sin\left(\frac{c x + d}{x}\right)}{x^{2}} + 6 \, b c d^{3} f e \sin\left(\frac{c x + d}{x}\right) + \frac{6 \, {\left(c x + d\right)}^{3} b d^{3} f \cos\left(c\right) e \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x^{3}} + \frac{18 \, {\left(c x + d\right)} b c^{2} d^{2} e^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x} - 2 \, a d^{4} f^{2} - \frac{18 \, {\left(c x + d\right)}^{2} b c d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e^{2}}{x^{2}} + 6 \, a c d^{3} f e - \frac{6 \, {\left(c x + d\right)}^{2} b d^{3} f \cos\left(\frac{c x + d}{x}\right) e}{x^{2}} - 6 \, b c^{2} d^{2} e^{2} \sin\left(\frac{c x + d}{x}\right) - \frac{6 \, {\left(c x + d\right)} b d^{3} f e \sin\left(\frac{c x + d}{x}\right)}{x} - \frac{18 \, {\left(c x + d\right)}^{2} b c d^{2} e^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x^{2}} - 6 \, a c^{2} d^{2} e^{2} + \frac{6 \, {\left(c x + d\right)}^{3} b d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e^{2}}{x^{3}} - \frac{6 \, {\left(c x + d\right)} a d^{3} f e}{x} + \frac{12 \, {\left(c x + d\right)} b c d^{2} e^{2} \sin\left(\frac{c x + d}{x}\right)}{x} + \frac{6 \, {\left(c x + d\right)}^{3} b d^{2} e^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x^{3}} + \frac{12 \, {\left(c x + d\right)} a c d^{2} e^{2}}{x} - \frac{6 \, {\left(c x + d\right)}^{2} b d^{2} e^{2} \sin\left(\frac{c x + d}{x}\right)}{x^{2}} - \frac{6 \, {\left(c x + d\right)}^{2} a d^{2} e^{2}}{x^{2}}}{6 \, {\left(c^{3} - \frac{3 \, {\left(c x + d\right)} c^{2}}{x} + \frac{3 \, {\left(c x + d\right)}^{2} c}{x^{2}} - \frac{{\left(c x + d\right)}^{3}}{x^{3}}\right)} d}"," ",0,"1/6*(b*c^3*d^4*f^2*cos(c)*cos_integral(-c + (c*x + d)/x) + b*c^3*d^4*f^2*sin(c)*sin_integral(c - (c*x + d)/x) - 3*(c*x + d)*b*c^2*d^4*f^2*cos(c)*cos_integral(-c + (c*x + d)/x)/x + 6*b*c^3*d^3*f*cos_integral(-c + (c*x + d)/x)*e*sin(c) - 6*b*c^3*d^3*f*cos(c)*e*sin_integral(c - (c*x + d)/x) - 3*(c*x + d)*b*c^2*d^4*f^2*sin(c)*sin_integral(c - (c*x + d)/x)/x + 3*(c*x + d)^2*b*c*d^4*f^2*cos(c)*cos_integral(-c + (c*x + d)/x)/x^2 - 18*(c*x + d)*b*c^2*d^3*f*cos_integral(-c + (c*x + d)/x)*e*sin(c)/x + b*c^2*d^4*f^2*sin((c*x + d)/x) + 18*(c*x + d)*b*c^2*d^3*f*cos(c)*e*sin_integral(c - (c*x + d)/x)/x + 3*(c*x + d)^2*b*c*d^4*f^2*sin(c)*sin_integral(c - (c*x + d)/x)/x^2 + b*c*d^4*f^2*cos((c*x + d)/x) - (c*x + d)^3*b*d^4*f^2*cos(c)*cos_integral(-c + (c*x + d)/x)/x^3 - 6*b*c^3*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)*e^2 - 6*b*c^2*d^3*f*cos((c*x + d)/x)*e + 18*(c*x + d)^2*b*c*d^3*f*cos_integral(-c + (c*x + d)/x)*e*sin(c)/x^2 - 2*(c*x + d)*b*c*d^4*f^2*sin((c*x + d)/x)/x - 18*(c*x + d)^2*b*c*d^3*f*cos(c)*e*sin_integral(c - (c*x + d)/x)/x^2 - (c*x + d)^3*b*d^4*f^2*sin(c)*sin_integral(c - (c*x + d)/x)/x^3 - 6*b*c^3*d^2*e^2*sin(c)*sin_integral(c - (c*x + d)/x) - (c*x + d)*b*d^4*f^2*cos((c*x + d)/x)/x + 18*(c*x + d)*b*c^2*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)*e^2/x + 12*(c*x + d)*b*c*d^3*f*cos((c*x + d)/x)*e/x - 6*(c*x + d)^3*b*d^3*f*cos_integral(-c + (c*x + d)/x)*e*sin(c)/x^3 - 2*b*d^4*f^2*sin((c*x + d)/x) + (c*x + d)^2*b*d^4*f^2*sin((c*x + d)/x)/x^2 + 6*b*c*d^3*f*e*sin((c*x + d)/x) + 6*(c*x + d)^3*b*d^3*f*cos(c)*e*sin_integral(c - (c*x + d)/x)/x^3 + 18*(c*x + d)*b*c^2*d^2*e^2*sin(c)*sin_integral(c - (c*x + d)/x)/x - 2*a*d^4*f^2 - 18*(c*x + d)^2*b*c*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)*e^2/x^2 + 6*a*c*d^3*f*e - 6*(c*x + d)^2*b*d^3*f*cos((c*x + d)/x)*e/x^2 - 6*b*c^2*d^2*e^2*sin((c*x + d)/x) - 6*(c*x + d)*b*d^3*f*e*sin((c*x + d)/x)/x - 18*(c*x + d)^2*b*c*d^2*e^2*sin(c)*sin_integral(c - (c*x + d)/x)/x^2 - 6*a*c^2*d^2*e^2 + 6*(c*x + d)^3*b*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)*e^2/x^3 - 6*(c*x + d)*a*d^3*f*e/x + 12*(c*x + d)*b*c*d^2*e^2*sin((c*x + d)/x)/x + 6*(c*x + d)^3*b*d^2*e^2*sin(c)*sin_integral(c - (c*x + d)/x)/x^3 + 12*(c*x + d)*a*c*d^2*e^2/x - 6*(c*x + d)^2*b*d^2*e^2*sin((c*x + d)/x)/x^2 - 6*(c*x + d)^2*a*d^2*e^2/x^2)/((c^3 - 3*(c*x + d)*c^2/x + 3*(c*x + d)^2*c/x^2 - (c*x + d)^3/x^3)*d)","B",0
289,1,530,0,0.623142," ","integrate((f*x+e)*(a+b*sin(c+d/x)),x, algorithm=""giac"")","\frac{b c^{2} d^{3} f \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) \sin\left(c\right) - b c^{2} d^{3} f \cos\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right) - 2 \, b c^{2} d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e - \frac{2 \, {\left(c x + d\right)} b c d^{3} f \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) \sin\left(c\right)}{x} + \frac{2 \, {\left(c x + d\right)} b c d^{3} f \cos\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x} - 2 \, b c^{2} d^{2} e \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right) - b c d^{3} f \cos\left(\frac{c x + d}{x}\right) + \frac{4 \, {\left(c x + d\right)} b c d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e}{x} + \frac{{\left(c x + d\right)}^{2} b d^{3} f \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) \sin\left(c\right)}{x^{2}} - \frac{{\left(c x + d\right)}^{2} b d^{3} f \cos\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x^{2}} + \frac{4 \, {\left(c x + d\right)} b c d^{2} e \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x} + \frac{{\left(c x + d\right)} b d^{3} f \cos\left(\frac{c x + d}{x}\right)}{x} - \frac{2 \, {\left(c x + d\right)}^{2} b d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e}{x^{2}} + b d^{3} f \sin\left(\frac{c x + d}{x}\right) - 2 \, b c d^{2} e \sin\left(\frac{c x + d}{x}\right) - \frac{2 \, {\left(c x + d\right)}^{2} b d^{2} e \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x^{2}} + a d^{3} f - 2 \, a c d^{2} e + \frac{2 \, {\left(c x + d\right)} b d^{2} e \sin\left(\frac{c x + d}{x}\right)}{x} + \frac{2 \, {\left(c x + d\right)} a d^{2} e}{x}}{2 \, {\left(c^{2} - \frac{2 \, {\left(c x + d\right)} c}{x} + \frac{{\left(c x + d\right)}^{2}}{x^{2}}\right)} d}"," ",0,"1/2*(b*c^2*d^3*f*cos_integral(-c + (c*x + d)/x)*sin(c) - b*c^2*d^3*f*cos(c)*sin_integral(c - (c*x + d)/x) - 2*b*c^2*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)*e - 2*(c*x + d)*b*c*d^3*f*cos_integral(-c + (c*x + d)/x)*sin(c)/x + 2*(c*x + d)*b*c*d^3*f*cos(c)*sin_integral(c - (c*x + d)/x)/x - 2*b*c^2*d^2*e*sin(c)*sin_integral(c - (c*x + d)/x) - b*c*d^3*f*cos((c*x + d)/x) + 4*(c*x + d)*b*c*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)*e/x + (c*x + d)^2*b*d^3*f*cos_integral(-c + (c*x + d)/x)*sin(c)/x^2 - (c*x + d)^2*b*d^3*f*cos(c)*sin_integral(c - (c*x + d)/x)/x^2 + 4*(c*x + d)*b*c*d^2*e*sin(c)*sin_integral(c - (c*x + d)/x)/x + (c*x + d)*b*d^3*f*cos((c*x + d)/x)/x - 2*(c*x + d)^2*b*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)*e/x^2 + b*d^3*f*sin((c*x + d)/x) - 2*b*c*d^2*e*sin((c*x + d)/x) - 2*(c*x + d)^2*b*d^2*e*sin(c)*sin_integral(c - (c*x + d)/x)/x^2 + a*d^3*f - 2*a*c*d^2*e + 2*(c*x + d)*b*d^2*e*sin((c*x + d)/x)/x + 2*(c*x + d)*a*d^2*e/x)/((c^2 - 2*(c*x + d)*c/x + (c*x + d)^2/x^2)*d)","B",0
290,1,137,0,0.554415," ","integrate(a+b*sin(c+d/x),x, algorithm=""giac"")","a x - \frac{{\left(c d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) + c d^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right) - \frac{{\left(c x + d\right)} d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right)}{x} - \frac{{\left(c x + d\right)} d^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x} + d^{2} \sin\left(\frac{c x + d}{x}\right)\right)} b}{{\left(c - \frac{c x + d}{x}\right)} d}"," ",0,"a*x - (c*d^2*cos(c)*cos_integral(-c + (c*x + d)/x) + c*d^2*sin(c)*sin_integral(c - (c*x + d)/x) - (c*x + d)*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)/x - (c*x + d)*d^2*sin(c)*sin_integral(c - (c*x + d)/x)/x + d^2*sin((c*x + d)/x))*b/((c - (c*x + d)/x)*d)","B",0
291,1,172,0,0.466596," ","integrate((a+b*sin(c+d/x))/(f*x+e),x, algorithm=""giac"")","\frac{b d \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) - b d \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) \sin\left(c\right) - b d \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + b d \cos\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right) + a d \log\left(-d f + c e - \frac{{\left(c x + d\right)} e}{x}\right) - a d \log\left(c - \frac{c x + d}{x}\right)}{d f}"," ",0,"(b*d*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*sin(-(d*f - c*e)*e^(-1)) - b*d*cos_integral(-c + (c*x + d)/x)*sin(c) - b*d*cos(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + b*d*cos(c)*sin_integral(c - (c*x + d)/x) + a*d*log(-d*f + c*e - (c*x + d)*e/x) - a*d*log(c - (c*x + d)/x))/(d*f)","A",0
292,1,347,0,0.576394," ","integrate((a+b*sin(c+d/x))/(f*x+e)^2,x, algorithm=""giac"")","-\frac{b d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - b c d^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e + b d^{3} f \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - b c d^{2} e \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + \frac{{\left(c x + d\right)} b d^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e}{x} + \frac{{\left(c x + d\right)} b d^{2} e \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} - b d^{2} e \sin\left(\frac{c x + d}{x}\right) - a d^{2} e}{{\left(d f e^{2} - c e^{3} + \frac{{\left(c x + d\right)} e^{3}}{x}\right)} d}"," ",0,"-(b*d^3*f*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1)) - b*c*d^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e + b*d^3*f*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - b*c*d^2*e*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + (c*x + d)*b*d^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e/x + (c*x + d)*b*d^2*e*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x - b*d^2*e*sin((c*x + d)/x) - a*d^2*e)/((d*f*e^2 - c*e^3 + (c*x + d)*e^3/x)*d)","B",0
293,1,1502,0,0.667308," ","integrate((a+b*sin(c+d/x))/(f*x+e)^3,x, algorithm=""giac"")","-\frac{b d^{5} f^{3} \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) - 2 \, b c d^{4} f^{2} \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) - b d^{5} f^{3} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + 2 \, b c d^{4} f^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) e \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + 2 \, b d^{4} f^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e + b c^{2} d^{3} f \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) + \frac{2 \, {\left(c x + d\right)} b d^{4} f^{2} \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right)}{x} - b c^{2} d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) e^{2} \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - \frac{2 \, {\left(c x + d\right)} b d^{4} f^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) e \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} + 2 \, b d^{4} f^{2} e \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - 4 \, b c d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2} + b d^{4} f^{2} \cos\left(\frac{c x + d}{x}\right) e - \frac{2 \, {\left(c x + d\right)} b c d^{3} f \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right)}{x} + \frac{2 \, {\left(c x + d\right)} b c d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) e^{2} \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} - 4 \, b c d^{3} f e^{2} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + 2 \, b c^{2} d^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{3} - b c d^{3} f \cos\left(\frac{c x + d}{x}\right) e^{2} + \frac{4 \, {\left(c x + d\right)} b d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2}}{x} + \frac{{\left(c x + d\right)}^{2} b d^{3} f \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right)}{x^{2}} - \frac{{\left(c x + d\right)}^{2} b d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) e^{2} \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x^{2}} + 2 \, b c^{2} d^{2} e^{3} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + \frac{4 \, {\left(c x + d\right)} b d^{3} f e^{2} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} - \frac{4 \, {\left(c x + d\right)} b c d^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{3}}{x} + \frac{{\left(c x + d\right)} b d^{3} f \cos\left(\frac{c x + d}{x}\right) e^{2}}{x} - b d^{3} f e^{2} \sin\left(\frac{c x + d}{x}\right) - \frac{4 \, {\left(c x + d\right)} b c d^{2} e^{3} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} + \frac{2 \, {\left(c x + d\right)}^{2} b d^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{3}}{x^{2}} - a d^{3} f e^{2} + 2 \, b c d^{2} e^{3} \sin\left(\frac{c x + d}{x}\right) + \frac{2 \, {\left(c x + d\right)}^{2} b d^{2} e^{3} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x^{2}} + 2 \, a c d^{2} e^{3} - \frac{2 \, {\left(c x + d\right)} b d^{2} e^{3} \sin\left(\frac{c x + d}{x}\right)}{x} - \frac{2 \, {\left(c x + d\right)} a d^{2} e^{3}}{x}}{2 \, {\left(d^{2} f^{2} e^{4} - 2 \, c d f e^{5} + c^{2} e^{6} + \frac{2 \, {\left(c x + d\right)} d f e^{5}}{x} - \frac{2 \, {\left(c x + d\right)} c e^{6}}{x} + \frac{{\left(c x + d\right)}^{2} e^{6}}{x^{2}}\right)} d}"," ",0,"-1/2*(b*d^5*f^3*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*sin(-(d*f - c*e)*e^(-1)) - 2*b*c*d^4*f^2*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e*sin(-(d*f - c*e)*e^(-1)) - b*d^5*f^3*cos(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 2*b*c*d^4*f^2*cos(-(d*f - c*e)*e^(-1))*e*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 2*b*d^4*f^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e + b*c^2*d^3*f*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2*sin(-(d*f - c*e)*e^(-1)) + 2*(c*x + d)*b*d^4*f^2*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e*sin(-(d*f - c*e)*e^(-1))/x - b*c^2*d^3*f*cos(-(d*f - c*e)*e^(-1))*e^2*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - 2*(c*x + d)*b*d^4*f^2*cos(-(d*f - c*e)*e^(-1))*e*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x + 2*b*d^4*f^2*e*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - 4*b*c*d^3*f*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2 + b*d^4*f^2*cos((c*x + d)/x)*e - 2*(c*x + d)*b*c*d^3*f*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2*sin(-(d*f - c*e)*e^(-1))/x + 2*(c*x + d)*b*c*d^3*f*cos(-(d*f - c*e)*e^(-1))*e^2*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x - 4*b*c*d^3*f*e^2*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 2*b*c^2*d^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^3 - b*c*d^3*f*cos((c*x + d)/x)*e^2 + 4*(c*x + d)*b*d^3*f*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2/x + (c*x + d)^2*b*d^3*f*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2*sin(-(d*f - c*e)*e^(-1))/x^2 - (c*x + d)^2*b*d^3*f*cos(-(d*f - c*e)*e^(-1))*e^2*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x^2 + 2*b*c^2*d^2*e^3*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 4*(c*x + d)*b*d^3*f*e^2*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x - 4*(c*x + d)*b*c*d^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^3/x + (c*x + d)*b*d^3*f*cos((c*x + d)/x)*e^2/x - b*d^3*f*e^2*sin((c*x + d)/x) - 4*(c*x + d)*b*c*d^2*e^3*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x + 2*(c*x + d)^2*b*d^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^3/x^2 - a*d^3*f*e^2 + 2*b*c*d^2*e^3*sin((c*x + d)/x) + 2*(c*x + d)^2*b*d^2*e^3*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x^2 + 2*a*c*d^2*e^3 - 2*(c*x + d)*b*d^2*e^3*sin((c*x + d)/x)/x - 2*(c*x + d)*a*d^2*e^3/x)/((d^2*f^2*e^4 - 2*c*d*f*e^5 + c^2*e^6 + 2*(c*x + d)*d*f*e^5/x - 2*(c*x + d)*c*e^6/x + (c*x + d)^2*e^6/x^2)*d)","B",0
294,1,1145,0,1.073696," ","integrate((f*x+e)*(a+b*sin(c+d/x))^2,x, algorithm=""giac"")","-\frac{4 \, b^{2} c^{2} d^{3} f \cos\left(2 \, c\right) \operatorname{Ci}\left(-2 \, c + \frac{2 \, {\left(c x + d\right)}}{x}\right) - 4 \, a b c^{2} d^{3} f \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) \sin\left(c\right) + 4 \, b^{2} c^{2} d^{3} f \sin\left(2 \, c\right) \operatorname{Si}\left(2 \, c - \frac{2 \, {\left(c x + d\right)}}{x}\right) + 4 \, a b c^{2} d^{3} f \cos\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right) - \frac{8 \, {\left(c x + d\right)} b^{2} c d^{3} f \cos\left(2 \, c\right) \operatorname{Ci}\left(-2 \, c + \frac{2 \, {\left(c x + d\right)}}{x}\right)}{x} + 8 \, a b c^{2} d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e + 4 \, b^{2} c^{2} d^{2} \operatorname{Ci}\left(-2 \, c + \frac{2 \, {\left(c x + d\right)}}{x}\right) e \sin\left(2 \, c\right) + \frac{8 \, {\left(c x + d\right)} a b c d^{3} f \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) \sin\left(c\right)}{x} - 4 \, b^{2} c^{2} d^{2} \cos\left(2 \, c\right) e \operatorname{Si}\left(2 \, c - \frac{2 \, {\left(c x + d\right)}}{x}\right) - \frac{8 \, {\left(c x + d\right)} b^{2} c d^{3} f \sin\left(2 \, c\right) \operatorname{Si}\left(2 \, c - \frac{2 \, {\left(c x + d\right)}}{x}\right)}{x} - \frac{8 \, {\left(c x + d\right)} a b c d^{3} f \cos\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x} + 8 \, a b c^{2} d^{2} e \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right) + 4 \, a b c d^{3} f \cos\left(\frac{c x + d}{x}\right) + \frac{4 \, {\left(c x + d\right)}^{2} b^{2} d^{3} f \cos\left(2 \, c\right) \operatorname{Ci}\left(-2 \, c + \frac{2 \, {\left(c x + d\right)}}{x}\right)}{x^{2}} - \frac{16 \, {\left(c x + d\right)} a b c d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e}{x} - \frac{8 \, {\left(c x + d\right)} b^{2} c d^{2} \operatorname{Ci}\left(-2 \, c + \frac{2 \, {\left(c x + d\right)}}{x}\right) e \sin\left(2 \, c\right)}{x} - \frac{4 \, {\left(c x + d\right)}^{2} a b d^{3} f \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) \sin\left(c\right)}{x^{2}} + 2 \, b^{2} c d^{3} f \sin\left(\frac{2 \, {\left(c x + d\right)}}{x}\right) + \frac{8 \, {\left(c x + d\right)} b^{2} c d^{2} \cos\left(2 \, c\right) e \operatorname{Si}\left(2 \, c - \frac{2 \, {\left(c x + d\right)}}{x}\right)}{x} + \frac{4 \, {\left(c x + d\right)}^{2} b^{2} d^{3} f \sin\left(2 \, c\right) \operatorname{Si}\left(2 \, c - \frac{2 \, {\left(c x + d\right)}}{x}\right)}{x^{2}} + \frac{4 \, {\left(c x + d\right)}^{2} a b d^{3} f \cos\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x^{2}} - \frac{16 \, {\left(c x + d\right)} a b c d^{2} e \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x} + b^{2} d^{3} f \cos\left(\frac{2 \, {\left(c x + d\right)}}{x}\right) - \frac{4 \, {\left(c x + d\right)} a b d^{3} f \cos\left(\frac{c x + d}{x}\right)}{x} - 2 \, b^{2} c d^{2} \cos\left(\frac{2 \, {\left(c x + d\right)}}{x}\right) e + \frac{8 \, {\left(c x + d\right)}^{2} a b d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) e}{x^{2}} + \frac{4 \, {\left(c x + d\right)}^{2} b^{2} d^{2} \operatorname{Ci}\left(-2 \, c + \frac{2 \, {\left(c x + d\right)}}{x}\right) e \sin\left(2 \, c\right)}{x^{2}} - \frac{2 \, {\left(c x + d\right)} b^{2} d^{3} f \sin\left(\frac{2 \, {\left(c x + d\right)}}{x}\right)}{x} - 4 \, a b d^{3} f \sin\left(\frac{c x + d}{x}\right) + 8 \, a b c d^{2} e \sin\left(\frac{c x + d}{x}\right) - \frac{4 \, {\left(c x + d\right)}^{2} b^{2} d^{2} \cos\left(2 \, c\right) e \operatorname{Si}\left(2 \, c - \frac{2 \, {\left(c x + d\right)}}{x}\right)}{x^{2}} + \frac{8 \, {\left(c x + d\right)}^{2} a b d^{2} e \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x^{2}} - 2 \, a^{2} d^{3} f - b^{2} d^{3} f + 4 \, a^{2} c d^{2} e + 2 \, b^{2} c d^{2} e + \frac{2 \, {\left(c x + d\right)} b^{2} d^{2} \cos\left(\frac{2 \, {\left(c x + d\right)}}{x}\right) e}{x} - \frac{8 \, {\left(c x + d\right)} a b d^{2} e \sin\left(\frac{c x + d}{x}\right)}{x} - \frac{4 \, {\left(c x + d\right)} a^{2} d^{2} e}{x} - \frac{2 \, {\left(c x + d\right)} b^{2} d^{2} e}{x}}{4 \, {\left(c^{2} - \frac{2 \, {\left(c x + d\right)} c}{x} + \frac{{\left(c x + d\right)}^{2}}{x^{2}}\right)} d}"," ",0,"-1/4*(4*b^2*c^2*d^3*f*cos(2*c)*cos_integral(-2*c + 2*(c*x + d)/x) - 4*a*b*c^2*d^3*f*cos_integral(-c + (c*x + d)/x)*sin(c) + 4*b^2*c^2*d^3*f*sin(2*c)*sin_integral(2*c - 2*(c*x + d)/x) + 4*a*b*c^2*d^3*f*cos(c)*sin_integral(c - (c*x + d)/x) - 8*(c*x + d)*b^2*c*d^3*f*cos(2*c)*cos_integral(-2*c + 2*(c*x + d)/x)/x + 8*a*b*c^2*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)*e + 4*b^2*c^2*d^2*cos_integral(-2*c + 2*(c*x + d)/x)*e*sin(2*c) + 8*(c*x + d)*a*b*c*d^3*f*cos_integral(-c + (c*x + d)/x)*sin(c)/x - 4*b^2*c^2*d^2*cos(2*c)*e*sin_integral(2*c - 2*(c*x + d)/x) - 8*(c*x + d)*b^2*c*d^3*f*sin(2*c)*sin_integral(2*c - 2*(c*x + d)/x)/x - 8*(c*x + d)*a*b*c*d^3*f*cos(c)*sin_integral(c - (c*x + d)/x)/x + 8*a*b*c^2*d^2*e*sin(c)*sin_integral(c - (c*x + d)/x) + 4*a*b*c*d^3*f*cos((c*x + d)/x) + 4*(c*x + d)^2*b^2*d^3*f*cos(2*c)*cos_integral(-2*c + 2*(c*x + d)/x)/x^2 - 16*(c*x + d)*a*b*c*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)*e/x - 8*(c*x + d)*b^2*c*d^2*cos_integral(-2*c + 2*(c*x + d)/x)*e*sin(2*c)/x - 4*(c*x + d)^2*a*b*d^3*f*cos_integral(-c + (c*x + d)/x)*sin(c)/x^2 + 2*b^2*c*d^3*f*sin(2*(c*x + d)/x) + 8*(c*x + d)*b^2*c*d^2*cos(2*c)*e*sin_integral(2*c - 2*(c*x + d)/x)/x + 4*(c*x + d)^2*b^2*d^3*f*sin(2*c)*sin_integral(2*c - 2*(c*x + d)/x)/x^2 + 4*(c*x + d)^2*a*b*d^3*f*cos(c)*sin_integral(c - (c*x + d)/x)/x^2 - 16*(c*x + d)*a*b*c*d^2*e*sin(c)*sin_integral(c - (c*x + d)/x)/x + b^2*d^3*f*cos(2*(c*x + d)/x) - 4*(c*x + d)*a*b*d^3*f*cos((c*x + d)/x)/x - 2*b^2*c*d^2*cos(2*(c*x + d)/x)*e + 8*(c*x + d)^2*a*b*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)*e/x^2 + 4*(c*x + d)^2*b^2*d^2*cos_integral(-2*c + 2*(c*x + d)/x)*e*sin(2*c)/x^2 - 2*(c*x + d)*b^2*d^3*f*sin(2*(c*x + d)/x)/x - 4*a*b*d^3*f*sin((c*x + d)/x) + 8*a*b*c*d^2*e*sin((c*x + d)/x) - 4*(c*x + d)^2*b^2*d^2*cos(2*c)*e*sin_integral(2*c - 2*(c*x + d)/x)/x^2 + 8*(c*x + d)^2*a*b*d^2*e*sin(c)*sin_integral(c - (c*x + d)/x)/x^2 - 2*a^2*d^3*f - b^2*d^3*f + 4*a^2*c*d^2*e + 2*b^2*c*d^2*e + 2*(c*x + d)*b^2*d^2*cos(2*(c*x + d)/x)*e/x - 8*(c*x + d)*a*b*d^2*e*sin((c*x + d)/x)/x - 4*(c*x + d)*a^2*d^2*e/x - 2*(c*x + d)*b^2*d^2*e/x)/((c^2 - 2*(c*x + d)*c/x + (c*x + d)^2/x^2)*d)","B",0
295,1,305,0,0.792830," ","integrate((a+b*sin(c+d/x))^2,x, algorithm=""giac"")","-\frac{4 \, a b c d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) + 2 \, b^{2} c d^{2} \operatorname{Ci}\left(-2 \, c + \frac{2 \, {\left(c x + d\right)}}{x}\right) \sin\left(2 \, c\right) - 2 \, b^{2} c d^{2} \cos\left(2 \, c\right) \operatorname{Si}\left(2 \, c - \frac{2 \, {\left(c x + d\right)}}{x}\right) + 4 \, a b c d^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right) - \frac{4 \, {\left(c x + d\right)} a b d^{2} \cos\left(c\right) \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right)}{x} - \frac{2 \, {\left(c x + d\right)} b^{2} d^{2} \operatorname{Ci}\left(-2 \, c + \frac{2 \, {\left(c x + d\right)}}{x}\right) \sin\left(2 \, c\right)}{x} + \frac{2 \, {\left(c x + d\right)} b^{2} d^{2} \cos\left(2 \, c\right) \operatorname{Si}\left(2 \, c - \frac{2 \, {\left(c x + d\right)}}{x}\right)}{x} - \frac{4 \, {\left(c x + d\right)} a b d^{2} \sin\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right)}{x} - b^{2} d^{2} \cos\left(\frac{2 \, {\left(c x + d\right)}}{x}\right) + 4 \, a b d^{2} \sin\left(\frac{c x + d}{x}\right) + 2 \, a^{2} d^{2} + b^{2} d^{2}}{2 \, {\left(c - \frac{c x + d}{x}\right)} d}"," ",0,"-1/2*(4*a*b*c*d^2*cos(c)*cos_integral(-c + (c*x + d)/x) + 2*b^2*c*d^2*cos_integral(-2*c + 2*(c*x + d)/x)*sin(2*c) - 2*b^2*c*d^2*cos(2*c)*sin_integral(2*c - 2*(c*x + d)/x) + 4*a*b*c*d^2*sin(c)*sin_integral(c - (c*x + d)/x) - 4*(c*x + d)*a*b*d^2*cos(c)*cos_integral(-c + (c*x + d)/x)/x - 2*(c*x + d)*b^2*d^2*cos_integral(-2*c + 2*(c*x + d)/x)*sin(2*c)/x + 2*(c*x + d)*b^2*d^2*cos(2*c)*sin_integral(2*c - 2*(c*x + d)/x)/x - 4*(c*x + d)*a*b*d^2*sin(c)*sin_integral(c - (c*x + d)/x)/x - b^2*d^2*cos(2*(c*x + d)/x) + 4*a*b*d^2*sin((c*x + d)/x) + 2*a^2*d^2 + b^2*d^2)/((c - (c*x + d)/x)*d)","B",0
296,1,368,0,5.026654," ","integrate((a+b*sin(c+d/x))^2/(f*x+e),x, algorithm=""giac"")","-\frac{b^{2} d \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - b^{2} d \cos\left(2 \, c\right) \operatorname{Ci}\left(-2 \, c + \frac{2 \, {\left(c x + d\right)}}{x}\right) - 4 \, a b d \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) + 4 \, a b d \operatorname{Ci}\left(-c + \frac{c x + d}{x}\right) \sin\left(c\right) + 4 \, a b d \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + b^{2} d \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - b^{2} d \sin\left(2 \, c\right) \operatorname{Si}\left(2 \, c - \frac{2 \, {\left(c x + d\right)}}{x}\right) - 4 \, a b d \cos\left(c\right) \operatorname{Si}\left(c - \frac{c x + d}{x}\right) - 2 \, a^{2} d \log\left(-d f + c e - \frac{{\left(c x + d\right)} e}{x}\right) - b^{2} d \log\left(-d f + c e - \frac{{\left(c x + d\right)} e}{x}\right) + 2 \, a^{2} d \log\left(c - \frac{c x + d}{x}\right) + b^{2} d \log\left(c - \frac{c x + d}{x}\right)}{2 \, d f}"," ",0,"-1/2*(b^2*d*cos(-2*(d*f - c*e)*e^(-1))*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - b^2*d*cos(2*c)*cos_integral(-2*c + 2*(c*x + d)/x) - 4*a*b*d*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*sin(-(d*f - c*e)*e^(-1)) + 4*a*b*d*cos_integral(-c + (c*x + d)/x)*sin(c) + 4*a*b*d*cos(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + b^2*d*sin(-2*(d*f - c*e)*e^(-1))*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - b^2*d*sin(2*c)*sin_integral(2*c - 2*(c*x + d)/x) - 4*a*b*d*cos(c)*sin_integral(c - (c*x + d)/x) - 2*a^2*d*log(-d*f + c*e - (c*x + d)*e/x) - b^2*d*log(-d*f + c*e - (c*x + d)*e/x) + 2*a^2*d*log(c - (c*x + d)/x) + b^2*d*log(c - (c*x + d)/x))/(d*f)","A",0
297,1,700,0,0.467696," ","integrate((a+b*sin(c+d/x))^2/(f*x+e)^2,x, algorithm=""giac"")","-\frac{4 \, a b d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - 4 \, a b c d^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e + 2 \, b^{2} d^{3} f \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) - 2 \, b^{2} c d^{2} \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) + 4 \, a b d^{3} f \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - 4 \, a b c d^{2} e \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - 2 \, b^{2} d^{3} f \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + 2 \, b^{2} c d^{2} \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) e \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + \frac{4 \, {\left(c x + d\right)} a b d^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e}{x} + \frac{2 \, {\left(c x + d\right)} b^{2} d^{2} \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right)}{x} + \frac{4 \, {\left(c x + d\right)} a b d^{2} e \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} - \frac{2 \, {\left(c x + d\right)} b^{2} d^{2} \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) e \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} + b^{2} d^{2} \cos\left(\frac{2 \, {\left(c x + d\right)}}{x}\right) e - 4 \, a b d^{2} e \sin\left(\frac{c x + d}{x}\right) - 2 \, a^{2} d^{2} e - b^{2} d^{2} e}{2 \, {\left(d f e^{2} - c e^{3} + \frac{{\left(c x + d\right)} e^{3}}{x}\right)} d}"," ",0,"-1/2*(4*a*b*d^3*f*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1)) - 4*a*b*c*d^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e + 2*b^2*d^3*f*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*sin(-2*(d*f - c*e)*e^(-1)) - 2*b^2*c*d^2*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e*sin(-2*(d*f - c*e)*e^(-1)) + 4*a*b*d^3*f*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - 4*a*b*c*d^2*e*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - 2*b^2*d^3*f*cos(-2*(d*f - c*e)*e^(-1))*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 2*b^2*c*d^2*cos(-2*(d*f - c*e)*e^(-1))*e*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 4*(c*x + d)*a*b*d^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e/x + 2*(c*x + d)*b^2*d^2*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e*sin(-2*(d*f - c*e)*e^(-1))/x + 4*(c*x + d)*a*b*d^2*e*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x - 2*(c*x + d)*b^2*d^2*cos(-2*(d*f - c*e)*e^(-1))*e*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x + b^2*d^2*cos(2*(c*x + d)/x)*e - 4*a*b*d^2*e*sin((c*x + d)/x) - 2*a^2*d^2*e - b^2*d^2*e)/((d*f*e^2 - c*e^3 + (c*x + d)*e^3/x)*d)","B",0
298,1,3062,0,0.622552," ","integrate((a+b*sin(c+d/x))^2/(f*x+e)^3,x, algorithm=""giac"")","\frac{4 \, b^{2} d^{5} f^{3} \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - 8 \, b^{2} c d^{4} f^{2} \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e - 4 \, a b d^{5} f^{3} \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) + 8 \, a b c d^{4} f^{2} \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) + 4 \, a b d^{5} f^{3} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - 8 \, a b c d^{4} f^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) e \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + 4 \, b^{2} d^{5} f^{3} \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - 8 \, b^{2} c d^{4} f^{2} e \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + 4 \, b^{2} c^{2} d^{3} f \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2} + \frac{8 \, {\left(c x + d\right)} b^{2} d^{4} f^{2} \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e}{x} - 8 \, a b d^{4} f^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e - 4 \, a b c^{2} d^{3} f \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) - \frac{8 \, {\left(c x + d\right)} a b d^{4} f^{2} \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right)}{x} - 4 \, b^{2} d^{4} f^{2} \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) + 4 \, a b c^{2} d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) e^{2} \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + \frac{8 \, {\left(c x + d\right)} a b d^{4} f^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) e \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} - 8 \, a b d^{4} f^{2} e \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + 4 \, b^{2} d^{4} f^{2} \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) e \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + 4 \, b^{2} c^{2} d^{3} f e^{2} \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + \frac{8 \, {\left(c x + d\right)} b^{2} d^{4} f^{2} e \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} - \frac{8 \, {\left(c x + d\right)} b^{2} c d^{3} f \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2}}{x} + 16 \, a b c d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2} - 4 \, a b d^{4} f^{2} \cos\left(\frac{c x + d}{x}\right) e + \frac{8 \, {\left(c x + d\right)} a b c d^{3} f \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right)}{x} + 8 \, b^{2} c d^{3} f \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2} \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) - 2 \, b^{2} d^{4} f^{2} e \sin\left(\frac{2 \, {\left(c x + d\right)}}{x}\right) - \frac{8 \, {\left(c x + d\right)} a b c d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) e^{2} \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} + 16 \, a b c d^{3} f e^{2} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - 8 \, b^{2} c d^{3} f \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) e^{2} \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - \frac{8 \, {\left(c x + d\right)} b^{2} c d^{3} f e^{2} \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} - 8 \, a b c^{2} d^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{3} + 4 \, a b c d^{3} f \cos\left(\frac{c x + d}{x}\right) e^{2} + \frac{4 \, {\left(c x + d\right)}^{2} b^{2} d^{3} f \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2}}{x^{2}} - \frac{16 \, {\left(c x + d\right)} a b d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2}}{x} - \frac{4 \, {\left(c x + d\right)}^{2} a b d^{3} f \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right)}{x^{2}} - 4 \, b^{2} c^{2} d^{2} \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{3} \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) - \frac{8 \, {\left(c x + d\right)} b^{2} d^{3} f \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{2} \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right)}{x} + 2 \, b^{2} c d^{3} f e^{2} \sin\left(\frac{2 \, {\left(c x + d\right)}}{x}\right) + \frac{4 \, {\left(c x + d\right)}^{2} a b d^{3} f \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) e^{2} \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x^{2}} - 8 \, a b c^{2} d^{2} e^{3} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) - \frac{16 \, {\left(c x + d\right)} a b d^{3} f e^{2} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} + 4 \, b^{2} c^{2} d^{2} \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) e^{3} \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) + \frac{8 \, {\left(c x + d\right)} b^{2} d^{3} f \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) e^{2} \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} + \frac{4 \, {\left(c x + d\right)}^{2} b^{2} d^{3} f e^{2} \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x^{2}} + \frac{16 \, {\left(c x + d\right)} a b c d^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{3}}{x} - b^{2} d^{3} f \cos\left(\frac{2 \, {\left(c x + d\right)}}{x}\right) e^{2} - \frac{4 \, {\left(c x + d\right)} a b d^{3} f \cos\left(\frac{c x + d}{x}\right) e^{2}}{x} + \frac{8 \, {\left(c x + d\right)} b^{2} c d^{2} \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{3} \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right)}{x} - \frac{2 \, {\left(c x + d\right)} b^{2} d^{3} f e^{2} \sin\left(\frac{2 \, {\left(c x + d\right)}}{x}\right)}{x} + 4 \, a b d^{3} f e^{2} \sin\left(\frac{c x + d}{x}\right) + \frac{16 \, {\left(c x + d\right)} a b c d^{2} e^{3} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} - \frac{8 \, {\left(c x + d\right)} b^{2} c d^{2} \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) e^{3} \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x} + 2 \, b^{2} c d^{2} \cos\left(\frac{2 \, {\left(c x + d\right)}}{x}\right) e^{3} - \frac{8 \, {\left(c x + d\right)}^{2} a b d^{2} \cos\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Ci}\left({\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{3}}{x^{2}} + 2 \, a^{2} d^{3} f e^{2} + b^{2} d^{3} f e^{2} - \frac{4 \, {\left(c x + d\right)}^{2} b^{2} d^{2} \operatorname{Ci}\left(2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right) e^{3} \sin\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right)}{x^{2}} - 8 \, a b c d^{2} e^{3} \sin\left(\frac{c x + d}{x}\right) - \frac{8 \, {\left(c x + d\right)}^{2} a b d^{2} e^{3} \sin\left(-{\left(d f - c e\right)} e^{\left(-1\right)}\right) \operatorname{Si}\left(-{\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x^{2}} + \frac{4 \, {\left(c x + d\right)}^{2} b^{2} d^{2} \cos\left(-2 \, {\left(d f - c e\right)} e^{\left(-1\right)}\right) e^{3} \operatorname{Si}\left(-2 \, {\left(d f - c e + \frac{{\left(c x + d\right)} e}{x}\right)} e^{\left(-1\right)}\right)}{x^{2}} - 4 \, a^{2} c d^{2} e^{3} - 2 \, b^{2} c d^{2} e^{3} - \frac{2 \, {\left(c x + d\right)} b^{2} d^{2} \cos\left(\frac{2 \, {\left(c x + d\right)}}{x}\right) e^{3}}{x} + \frac{8 \, {\left(c x + d\right)} a b d^{2} e^{3} \sin\left(\frac{c x + d}{x}\right)}{x} + \frac{4 \, {\left(c x + d\right)} a^{2} d^{2} e^{3}}{x} + \frac{2 \, {\left(c x + d\right)} b^{2} d^{2} e^{3}}{x}}{4 \, {\left(d^{2} f^{2} e^{4} - 2 \, c d f e^{5} + c^{2} e^{6} + \frac{2 \, {\left(c x + d\right)} d f e^{5}}{x} - \frac{2 \, {\left(c x + d\right)} c e^{6}}{x} + \frac{{\left(c x + d\right)}^{2} e^{6}}{x^{2}}\right)} d}"," ",0,"1/4*(4*b^2*d^5*f^3*cos(-2*(d*f - c*e)*e^(-1))*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - 8*b^2*c*d^4*f^2*cos(-2*(d*f - c*e)*e^(-1))*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e - 4*a*b*d^5*f^3*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*sin(-(d*f - c*e)*e^(-1)) + 8*a*b*c*d^4*f^2*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e*sin(-(d*f - c*e)*e^(-1)) + 4*a*b*d^5*f^3*cos(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - 8*a*b*c*d^4*f^2*cos(-(d*f - c*e)*e^(-1))*e*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 4*b^2*d^5*f^3*sin(-2*(d*f - c*e)*e^(-1))*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - 8*b^2*c*d^4*f^2*e*sin(-2*(d*f - c*e)*e^(-1))*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 4*b^2*c^2*d^3*f*cos(-2*(d*f - c*e)*e^(-1))*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2 + 8*(c*x + d)*b^2*d^4*f^2*cos(-2*(d*f - c*e)*e^(-1))*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e/x - 8*a*b*d^4*f^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e - 4*a*b*c^2*d^3*f*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2*sin(-(d*f - c*e)*e^(-1)) - 8*(c*x + d)*a*b*d^4*f^2*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e*sin(-(d*f - c*e)*e^(-1))/x - 4*b^2*d^4*f^2*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e*sin(-2*(d*f - c*e)*e^(-1)) + 4*a*b*c^2*d^3*f*cos(-(d*f - c*e)*e^(-1))*e^2*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 8*(c*x + d)*a*b*d^4*f^2*cos(-(d*f - c*e)*e^(-1))*e*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x - 8*a*b*d^4*f^2*e*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 4*b^2*d^4*f^2*cos(-2*(d*f - c*e)*e^(-1))*e*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 4*b^2*c^2*d^3*f*e^2*sin(-2*(d*f - c*e)*e^(-1))*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 8*(c*x + d)*b^2*d^4*f^2*e*sin(-2*(d*f - c*e)*e^(-1))*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x - 8*(c*x + d)*b^2*c*d^3*f*cos(-2*(d*f - c*e)*e^(-1))*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2/x + 16*a*b*c*d^3*f*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2 - 4*a*b*d^4*f^2*cos((c*x + d)/x)*e + 8*(c*x + d)*a*b*c*d^3*f*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2*sin(-(d*f - c*e)*e^(-1))/x + 8*b^2*c*d^3*f*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2*sin(-2*(d*f - c*e)*e^(-1)) - 2*b^2*d^4*f^2*e*sin(2*(c*x + d)/x) - 8*(c*x + d)*a*b*c*d^3*f*cos(-(d*f - c*e)*e^(-1))*e^2*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x + 16*a*b*c*d^3*f*e^2*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - 8*b^2*c*d^3*f*cos(-2*(d*f - c*e)*e^(-1))*e^2*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - 8*(c*x + d)*b^2*c*d^3*f*e^2*sin(-2*(d*f - c*e)*e^(-1))*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x - 8*a*b*c^2*d^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^3 + 4*a*b*c*d^3*f*cos((c*x + d)/x)*e^2 + 4*(c*x + d)^2*b^2*d^3*f*cos(-2*(d*f - c*e)*e^(-1))*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2/x^2 - 16*(c*x + d)*a*b*d^3*f*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2/x - 4*(c*x + d)^2*a*b*d^3*f*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2*sin(-(d*f - c*e)*e^(-1))/x^2 - 4*b^2*c^2*d^2*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^3*sin(-2*(d*f - c*e)*e^(-1)) - 8*(c*x + d)*b^2*d^3*f*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^2*sin(-2*(d*f - c*e)*e^(-1))/x + 2*b^2*c*d^3*f*e^2*sin(2*(c*x + d)/x) + 4*(c*x + d)^2*a*b*d^3*f*cos(-(d*f - c*e)*e^(-1))*e^2*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x^2 - 8*a*b*c^2*d^2*e^3*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1)) - 16*(c*x + d)*a*b*d^3*f*e^2*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x + 4*b^2*c^2*d^2*cos(-2*(d*f - c*e)*e^(-1))*e^3*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1)) + 8*(c*x + d)*b^2*d^3*f*cos(-2*(d*f - c*e)*e^(-1))*e^2*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x + 4*(c*x + d)^2*b^2*d^3*f*e^2*sin(-2*(d*f - c*e)*e^(-1))*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x^2 + 16*(c*x + d)*a*b*c*d^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^3/x - b^2*d^3*f*cos(2*(c*x + d)/x)*e^2 - 4*(c*x + d)*a*b*d^3*f*cos((c*x + d)/x)*e^2/x + 8*(c*x + d)*b^2*c*d^2*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^3*sin(-2*(d*f - c*e)*e^(-1))/x - 2*(c*x + d)*b^2*d^3*f*e^2*sin(2*(c*x + d)/x)/x + 4*a*b*d^3*f*e^2*sin((c*x + d)/x) + 16*(c*x + d)*a*b*c*d^2*e^3*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x - 8*(c*x + d)*b^2*c*d^2*cos(-2*(d*f - c*e)*e^(-1))*e^3*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x + 2*b^2*c*d^2*cos(2*(c*x + d)/x)*e^3 - 8*(c*x + d)^2*a*b*d^2*cos(-(d*f - c*e)*e^(-1))*cos_integral((d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^3/x^2 + 2*a^2*d^3*f*e^2 + b^2*d^3*f*e^2 - 4*(c*x + d)^2*b^2*d^2*cos_integral(2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))*e^3*sin(-2*(d*f - c*e)*e^(-1))/x^2 - 8*a*b*c*d^2*e^3*sin((c*x + d)/x) - 8*(c*x + d)^2*a*b*d^2*e^3*sin(-(d*f - c*e)*e^(-1))*sin_integral(-(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x^2 + 4*(c*x + d)^2*b^2*d^2*cos(-2*(d*f - c*e)*e^(-1))*e^3*sin_integral(-2*(d*f - c*e + (c*x + d)*e/x)*e^(-1))/x^2 - 4*a^2*c*d^2*e^3 - 2*b^2*c*d^2*e^3 - 2*(c*x + d)*b^2*d^2*cos(2*(c*x + d)/x)*e^3/x + 8*(c*x + d)*a*b*d^2*e^3*sin((c*x + d)/x)/x + 4*(c*x + d)*a^2*d^2*e^3/x + 2*(c*x + d)*b^2*d^2*e^3/x)/((d^2*f^2*e^4 - 2*c*d*f*e^5 + c^2*e^6 + 2*(c*x + d)*d*f*e^5/x - 2*(c*x + d)*c*e^6/x + (c*x + d)^2*e^6/x^2)*d)","B",0
299,0,0,0,0.000000," ","integrate((f*x+e)^2/(a+b*sin(c+d/x)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2}}{b \sin\left(c + \frac{d}{x}\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2/(b*sin(c + d/x) + a), x)","F",0
300,0,0,0,0.000000," ","integrate((f*x+e)/(a+b*sin(c+d/x)),x, algorithm=""giac"")","\int \frac{f x + e}{b \sin\left(c + \frac{d}{x}\right) + a}\,{d x}"," ",0,"integrate((f*x + e)/(b*sin(c + d/x) + a), x)","F",0
301,0,0,0,0.000000," ","integrate(1/(a+b*sin(c+d/x)),x, algorithm=""giac"")","\int \frac{1}{b \sin\left(c + \frac{d}{x}\right) + a}\,{d x}"," ",0,"integrate(1/(b*sin(c + d/x) + a), x)","F",0
302,0,0,0,0.000000," ","integrate((f*x+e)/(a+b*sin(c+d/x)),x, algorithm=""giac"")","\int \frac{f x + e}{b \sin\left(c + \frac{d}{x}\right) + a}\,{d x}"," ",0,"integrate((f*x + e)/(b*sin(c + d/x) + a), x)","F",0
303,0,0,0,0.000000," ","integrate((f*x+e)^2/(a+b*sin(c+d/x)),x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2}}{b \sin\left(c + \frac{d}{x}\right) + a}\,{d x}"," ",0,"integrate((f*x + e)^2/(b*sin(c + d/x) + a), x)","F",0
304,-1,0,0,0.000000," ","integrate((f*x+e)^2/(a+b*sin(c+d/x))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
305,0,0,0,0.000000," ","integrate((f*x+e)/(a+b*sin(c+d/x))^2,x, algorithm=""giac"")","\int \frac{f x + e}{{\left(b \sin\left(c + \frac{d}{x}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((f*x + e)/(b*sin(c + d/x) + a)^2, x)","F",0
306,0,0,0,0.000000," ","integrate(1/(a+b*sin(c+d/x))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \sin\left(c + \frac{d}{x}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((b*sin(c + d/x) + a)^(-2), x)","F",0
307,0,0,0,0.000000," ","integrate((f*x+e)/(a+b*sin(c+d/x))^2,x, algorithm=""giac"")","\int \frac{f x + e}{{\left(b \sin\left(c + \frac{d}{x}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((f*x + e)/(b*sin(c + d/x) + a)^2, x)","F",0
308,0,0,0,0.000000," ","integrate((f*x+e)^2/(a+b*sin(c+d/x))^2,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2}}{{\left(b \sin\left(c + \frac{d}{x}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((f*x + e)^2/(b*sin(c + d/x) + a)^2, x)","F",0
309,0,0,0,0.000000," ","integrate((f*x+e)^m*(a+b*sin(c+d/x))^p,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{m} {\left(b \sin\left(c + \frac{d}{x}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((f*x + e)^m*(b*sin(c + d/x) + a)^p, x)","F",0
310,0,0,0,0.000000," ","integrate(x^m*(c*sin(b*x+a)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)^{3}\right)^{\frac{1}{3}} x^{m}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(1/3)*x^m, x)","F",0
311,0,0,0,0.000000," ","integrate(x^3*(c*sin(b*x+a)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)^{3}\right)^{\frac{1}{3}} x^{3}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(1/3)*x^3, x)","F",0
312,0,0,0,0.000000," ","integrate(x^2*(c*sin(b*x+a)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)^{3}\right)^{\frac{1}{3}} x^{2}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(1/3)*x^2, x)","F",0
313,0,0,0,0.000000," ","integrate(x*(c*sin(b*x+a)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)^{3}\right)^{\frac{1}{3}} x\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(1/3)*x, x)","F",0
314,0,0,0,0.000000," ","integrate((c*sin(b*x+a)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)^{3}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(1/3), x)","F",0
315,0,0,0,0.000000," ","integrate((c*sin(b*x+a)^3)^(1/3)/x,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)^{3}\right)^{\frac{1}{3}}}{x}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(1/3)/x, x)","F",0
316,0,0,0,0.000000," ","integrate((c*sin(b*x+a)^3)^(1/3)/x^2,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)^{3}\right)^{\frac{1}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(1/3)/x^2, x)","F",0
317,0,0,0,0.000000," ","integrate((c*sin(b*x+a)^3)^(1/3)/x^3,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)^{3}\right)^{\frac{1}{3}}}{x^{3}}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(1/3)/x^3, x)","F",0
318,0,0,0,0.000000," ","integrate(x^m*(c*sin(b*x^2+a)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{1}{3}} x^{m}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(1/3)*x^m, x)","F",0
319,0,0,0,0.000000," ","integrate(x^3*(c*sin(b*x^2+a)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{1}{3}} x^{3}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(1/3)*x^3, x)","F",0
320,0,0,0,0.000000," ","integrate(x^2*(c*sin(b*x^2+a)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{1}{3}} x^{2}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(1/3)*x^2, x)","F",0
321,0,0,0,0.000000," ","integrate(x*(c*sin(b*x^2+a)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{1}{3}} x\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(1/3)*x, x)","F",0
322,0,0,0,0.000000," ","integrate((c*sin(b*x^2+a)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(1/3), x)","F",0
323,0,0,0,0.000000," ","integrate((c*sin(b*x^2+a)^3)^(1/3)/x,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{1}{3}}}{x}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(1/3)/x, x)","F",0
324,0,0,0,0.000000," ","integrate((c*sin(b*x^2+a)^3)^(1/3)/x^2,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{1}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(1/3)/x^2, x)","F",0
325,0,0,0,0.000000," ","integrate((c*sin(b*x^2+a)^3)^(1/3)/x^3,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{1}{3}}}{x^{3}}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(1/3)/x^3, x)","F",0
326,0,0,0,0.000000," ","integrate(x^m*(c*sin(a+b*x^n)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{n} + a\right)^{3}\right)^{\frac{1}{3}} x^{m}\,{d x}"," ",0,"integrate((c*sin(b*x^n + a)^3)^(1/3)*x^m, x)","F",0
327,0,0,0,0.000000," ","integrate(x^3*(c*sin(a+b*x^n)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{n} + a\right)^{3}\right)^{\frac{1}{3}} x^{3}\,{d x}"," ",0,"integrate((c*sin(b*x^n + a)^3)^(1/3)*x^3, x)","F",0
328,0,0,0,0.000000," ","integrate(x^2*(c*sin(a+b*x^n)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{n} + a\right)^{3}\right)^{\frac{1}{3}} x^{2}\,{d x}"," ",0,"integrate((c*sin(b*x^n + a)^3)^(1/3)*x^2, x)","F",0
329,0,0,0,0.000000," ","integrate(x*(c*sin(a+b*x^n)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{n} + a\right)^{3}\right)^{\frac{1}{3}} x\,{d x}"," ",0,"integrate((c*sin(b*x^n + a)^3)^(1/3)*x, x)","F",0
330,0,0,0,0.000000," ","integrate((c*sin(a+b*x^n)^3)^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{n} + a\right)^{3}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((c*sin(b*x^n + a)^3)^(1/3), x)","F",0
331,0,0,0,0.000000," ","integrate((c*sin(a+b*x^n)^3)^(1/3)/x,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x^{n} + a\right)^{3}\right)^{\frac{1}{3}}}{x}\,{d x}"," ",0,"integrate((c*sin(b*x^n + a)^3)^(1/3)/x, x)","F",0
332,0,0,0,0.000000," ","integrate((c*sin(a+b*x^n)^3)^(1/3)/x^2,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x^{n} + a\right)^{3}\right)^{\frac{1}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((c*sin(b*x^n + a)^3)^(1/3)/x^2, x)","F",0
333,0,0,0,0.000000," ","integrate((c*sin(a+b*x^n)^3)^(1/3)/x^3,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x^{n} + a\right)^{3}\right)^{\frac{1}{3}}}{x^{3}}\,{d x}"," ",0,"integrate((c*sin(b*x^n + a)^3)^(1/3)/x^3, x)","F",0
334,0,0,0,0.000000," ","integrate(x^m*(c*sin(b*x+a)^3)^(2/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)^{3}\right)^{\frac{2}{3}} x^{m}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(2/3)*x^m, x)","F",0
335,0,0,0,0.000000," ","integrate(x^3*(c*sin(b*x+a)^3)^(2/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)^{3}\right)^{\frac{2}{3}} x^{3}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(2/3)*x^3, x)","F",0
336,0,0,0,0.000000," ","integrate(x^2*(c*sin(b*x+a)^3)^(2/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)^{3}\right)^{\frac{2}{3}} x^{2}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(2/3)*x^2, x)","F",0
337,0,0,0,0.000000," ","integrate(x*(c*sin(b*x+a)^3)^(2/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)^{3}\right)^{\frac{2}{3}} x\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(2/3)*x, x)","F",0
338,0,0,0,0.000000," ","integrate((c*sin(b*x+a)^3)^(2/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)^{3}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(2/3), x)","F",0
339,0,0,0,0.000000," ","integrate((c*sin(b*x+a)^3)^(2/3)/x,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)^{3}\right)^{\frac{2}{3}}}{x}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(2/3)/x, x)","F",0
340,0,0,0,0.000000," ","integrate((c*sin(b*x+a)^3)^(2/3)/x^2,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)^{3}\right)^{\frac{2}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(2/3)/x^2, x)","F",0
341,0,0,0,0.000000," ","integrate((c*sin(b*x+a)^3)^(2/3)/x^3,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)^{3}\right)^{\frac{2}{3}}}{x^{3}}\,{d x}"," ",0,"integrate((c*sin(b*x + a)^3)^(2/3)/x^3, x)","F",0
342,0,0,0,0.000000," ","integrate(x^m*(c*sin(b*x^2+a)^3)^(2/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{2}{3}} x^{m}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(2/3)*x^m, x)","F",0
343,0,0,0,0.000000," ","integrate(x^3*(c*sin(b*x^2+a)^3)^(2/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{2}{3}} x^{3}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(2/3)*x^3, x)","F",0
344,0,0,0,0.000000," ","integrate(x^2*(c*sin(b*x^2+a)^3)^(2/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{2}{3}} x^{2}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(2/3)*x^2, x)","F",0
345,0,0,0,0.000000," ","integrate(x*(c*sin(b*x^2+a)^3)^(2/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{2}{3}} x\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(2/3)*x, x)","F",0
346,0,0,0,0.000000," ","integrate((c*sin(b*x^2+a)^3)^(2/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(2/3), x)","F",0
347,0,0,0,0.000000," ","integrate((c*sin(b*x^2+a)^3)^(2/3)/x,x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x^{2} + a\right)^{3}\right)^{\frac{2}{3}}}{x}\,{d x}"," ",0,"integrate((c*sin(b*x^2 + a)^3)^(2/3)/x, x)","F",0
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