1,1,219,0,0.351843," ","integrate(x^2*sin(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{{\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \cos\left(b \log\left(c\right)\right)\right)} n - 3 \, \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + 3 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) - 3 \, \sin\left(b \log\left(c\right)\right)\right)} x^{3} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \sin\left(b \log\left(c\right)\right)\right)} n + 3 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + 3 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + 3 \, \cos\left(b \log\left(c\right)\right)\right)} x^{3} \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, {\left({\left(b^{2} \cos\left(b \log\left(c\right)\right)^{2} + b^{2} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{2} + 9 \, \cos\left(b \log\left(c\right)\right)^{2} + 9 \, \sin\left(b \log\left(c\right)\right)^{2}\right)}}"," ",0,"-1/2*(((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)) + b*cos(b*log(c)))*n - 3*cos(b*log(c))*sin(2*b*log(c)) + 3*cos(2*b*log(c))*sin(b*log(c)) - 3*sin(b*log(c)))*x^3*cos(b*log(x^n) + a) - ((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)) + b*sin(b*log(c)))*n + 3*cos(2*b*log(c))*cos(b*log(c)) + 3*sin(2*b*log(c))*sin(b*log(c)) + 3*cos(b*log(c)))*x^3*sin(b*log(x^n) + a))/((b^2*cos(b*log(c))^2 + b^2*sin(b*log(c))^2)*n^2 + 9*cos(b*log(c))^2 + 9*sin(b*log(c))^2)","B",0
2,1,219,0,0.362610," ","integrate(x*sin(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{{\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \cos\left(b \log\left(c\right)\right)\right)} n - 2 \, \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + 2 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) - 2 \, \sin\left(b \log\left(c\right)\right)\right)} x^{2} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \sin\left(b \log\left(c\right)\right)\right)} n + 2 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + 2 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + 2 \, \cos\left(b \log\left(c\right)\right)\right)} x^{2} \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, {\left({\left(b^{2} \cos\left(b \log\left(c\right)\right)^{2} + b^{2} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{2} + 4 \, \cos\left(b \log\left(c\right)\right)^{2} + 4 \, \sin\left(b \log\left(c\right)\right)^{2}\right)}}"," ",0,"-1/2*(((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)) + b*cos(b*log(c)))*n - 2*cos(b*log(c))*sin(2*b*log(c)) + 2*cos(2*b*log(c))*sin(b*log(c)) - 2*sin(b*log(c)))*x^2*cos(b*log(x^n) + a) - ((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)) + b*sin(b*log(c)))*n + 2*cos(2*b*log(c))*cos(b*log(c)) + 2*sin(2*b*log(c))*sin(b*log(c)) + 2*cos(b*log(c)))*x^2*sin(b*log(x^n) + a))/((b^2*cos(b*log(c))^2 + b^2*sin(b*log(c))^2)*n^2 + 4*cos(b*log(c))^2 + 4*sin(b*log(c))^2)","B",0
3,1,206,0,0.360267," ","integrate(sin(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{{\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \cos\left(b \log\left(c\right)\right)\right)} n - \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) - \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, {\left({\left(b^{2} \cos\left(b \log\left(c\right)\right)^{2} + b^{2} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(b \log\left(c\right)\right)^{2} + \sin\left(b \log\left(c\right)\right)^{2}\right)}}"," ",0,"-1/2*(((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)) + b*cos(b*log(c)))*n - cos(b*log(c))*sin(2*b*log(c)) + cos(2*b*log(c))*sin(b*log(c)) - sin(b*log(c)))*x*cos(b*log(x^n) + a) - ((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)) + b*sin(b*log(c)))*n + cos(2*b*log(c))*cos(b*log(c)) + sin(2*b*log(c))*sin(b*log(c)) + cos(b*log(c)))*x*sin(b*log(x^n) + a))/((b^2*cos(b*log(c))^2 + b^2*sin(b*log(c))^2)*n^2 + cos(b*log(c))^2 + sin(b*log(c))^2)","B",0
4,1,19,0,0.317671," ","integrate(sin(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","-\frac{\cos\left(b \log\left(c x^{n}\right) + a\right)}{b n}"," ",0,"-cos(b*log(c*x^n) + a)/(b*n)","A",0
5,1,209,0,0.355607," ","integrate(sin(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","-\frac{{\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \cos\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + \sin\left(b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) - \cos\left(b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, {\left({\left(b^{2} \cos\left(b \log\left(c\right)\right)^{2} + b^{2} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(b \log\left(c\right)\right)^{2} + \sin\left(b \log\left(c\right)\right)^{2}\right)} x}"," ",0,"-1/2*(((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)) + b*cos(b*log(c)))*n + cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)) + sin(b*log(c)))*cos(b*log(x^n) + a) - ((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)) + b*sin(b*log(c)))*n - cos(2*b*log(c))*cos(b*log(c)) - sin(2*b*log(c))*sin(b*log(c)) - cos(b*log(c)))*sin(b*log(x^n) + a))/(((b^2*cos(b*log(c))^2 + b^2*sin(b*log(c))^2)*n^2 + cos(b*log(c))^2 + sin(b*log(c))^2)*x)","B",0
6,1,216,0,0.348669," ","integrate(sin(a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","-\frac{{\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \cos\left(b \log\left(c\right)\right)\right)} n + 2 \, \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - 2 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + 2 \, \sin\left(b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \sin\left(b \log\left(c\right)\right)\right)} n - 2 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - 2 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) - 2 \, \cos\left(b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, {\left({\left(b^{2} \cos\left(b \log\left(c\right)\right)^{2} + b^{2} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{2} + 4 \, \cos\left(b \log\left(c\right)\right)^{2} + 4 \, \sin\left(b \log\left(c\right)\right)^{2}\right)} x^{2}}"," ",0,"-1/2*(((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)) + b*cos(b*log(c)))*n + 2*cos(b*log(c))*sin(2*b*log(c)) - 2*cos(2*b*log(c))*sin(b*log(c)) + 2*sin(b*log(c)))*cos(b*log(x^n) + a) - ((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)) + b*sin(b*log(c)))*n - 2*cos(2*b*log(c))*cos(b*log(c)) - 2*sin(2*b*log(c))*sin(b*log(c)) - 2*cos(b*log(c)))*sin(b*log(x^n) + a))/(((b^2*cos(b*log(c))^2 + b^2*sin(b*log(c))^2)*n^2 + 4*cos(b*log(c))^2 + 4*sin(b*log(c))^2)*x^2)","B",0
7,1,301,0,0.348858," ","integrate(x^2*sin(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{3 \, {\left(2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 3 \, \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 3 \, \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + 3 \, \cos\left(2 \, b \log\left(c\right)\right)\right)} x^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right)\right)} n - 3 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + 3 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - 3 \, \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 9 \, \cos\left(2 \, b \log\left(c\right)\right)^{2} + 9 \, \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} x^{3}}{12 \, {\left(4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 9 \, \cos\left(2 \, b \log\left(c\right)\right)^{2} + 9 \, \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"-1/12*(3*(2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + b*sin(2*b*log(c)))*n + 3*cos(4*b*log(c))*cos(2*b*log(c)) + 3*sin(4*b*log(c))*sin(2*b*log(c)) + 3*cos(2*b*log(c)))*x^3*cos(2*b*log(x^n) + 2*a) + 3*(2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + b*cos(2*b*log(c)))*n - 3*cos(2*b*log(c))*sin(4*b*log(c)) + 3*cos(4*b*log(c))*sin(2*b*log(c)) - 3*sin(2*b*log(c)))*x^3*sin(2*b*log(x^n) + 2*a) - 2*(4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + 9*cos(2*b*log(c))^2 + 9*sin(2*b*log(c))^2)*x^3)/(4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + 9*cos(2*b*log(c))^2 + 9*sin(2*b*log(c))^2)","B",0
8,1,282,0,0.347782," ","integrate(x*sin(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{{\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left({\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} x^{2}}{8 \, {\left({\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"-1/8*(((b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + b*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)) + cos(2*b*log(c)))*x^2*cos(2*b*log(x^n) + 2*a) + ((b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + b*cos(2*b*log(c)))*n - cos(2*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(2*b*log(c)) - sin(2*b*log(c)))*x^2*sin(2*b*log(x^n) + 2*a) - 2*((b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*x^2)/((b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)","B",0
9,1,280,0,0.360178," ","integrate(sin(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{{\left(2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} x}{4 \, {\left(4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"-1/4*((2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + b*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)) + cos(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + (2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + b*cos(2*b*log(c)))*n - cos(2*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(2*b*log(c)) - sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) - 2*(4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*x)/(4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)","B",0
10,1,55,0,0.342115," ","integrate(sin(a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","\frac{2 \, b n \log\left(x\right) - \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{4 \, b n}"," ",0,"1/4*(2*b*n*log(x) - cos(2*b*log(x^n) + 2*a)*sin(2*b*log(c)) - cos(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/(b*n)","A",0
11,1,283,0,0.354125," ","integrate(sin(a+b*log(c*x^n))^2/x^2,x, algorithm=""maxima"")","-\frac{8 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 2 \, \cos\left(2 \, b \log\left(c\right)\right)^{2} + {\left(2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, \sin\left(2 \, b \log\left(c\right)\right)^{2} + {\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{4 \, {\left(4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} x}"," ",0,"-1/4*(8*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + 2*cos(2*b*log(c))^2 + (2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + b*sin(2*b*log(c)))*n - cos(4*b*log(c))*cos(2*b*log(c)) - sin(4*b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*sin(2*b*log(c))^2 + (2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + b*cos(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)) + sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))/((4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*x)","B",0
12,1,280,0,0.347269," ","integrate(sin(a+b*log(c*x^n))^2/x^3,x, algorithm=""maxima"")","-\frac{2 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 2 \, \cos\left(2 \, b \log\left(c\right)\right)^{2} + {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, \sin\left(2 \, b \log\left(c\right)\right)^{2} + {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{8 \, {\left({\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} x^{2}}"," ",0,"-1/8*(2*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + 2*cos(2*b*log(c))^2 + ((b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + b*sin(2*b*log(c)))*n - cos(4*b*log(c))*cos(2*b*log(c)) - sin(4*b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*sin(2*b*log(c))^2 + ((b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + b*cos(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)) + sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))/(((b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*x^2)","B",0
13,1,1008,0,0.390020," ","integrate(x^2*sin(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{{\left({\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{3} - {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 9 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right)\right)} n - 9 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 9 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - 9 \, \sin\left(3 \, b \log\left(c\right)\right)\right)} x^{3} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 9 \, {\left({\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 3 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - 3 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + 3 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - 3 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 3 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{3} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{3} + {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 9 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right)\right)} n + 9 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + 9 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 9 \, \cos\left(3 \, b \log\left(c\right)\right)\right)} x^{3} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 9 \, {\left({\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 3 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 3 \, \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + 3 \, \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 3 \, \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 3 \, \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{3} \sin\left(b \log\left(x^{n}\right) + a\right)}{24 \, {\left({\left(b^{4} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 10 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 9 \, \cos\left(3 \, b \log\left(c\right)\right)^{2} + 9 \, \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/24*(((b^3*cos(6*b*log(c))*cos(3*b*log(c)) + b^3*sin(6*b*log(c))*sin(3*b*log(c)) + b^3*cos(3*b*log(c)))*n^3 - (b^2*cos(3*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c)))*n^2 + 9*(b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + b*cos(3*b*log(c)))*n - 9*cos(3*b*log(c))*sin(6*b*log(c)) + 9*cos(6*b*log(c))*sin(3*b*log(c)) - 9*sin(3*b*log(c)))*x^3*cos(3*b*log(x^n) + 3*a) - 9*((b^3*cos(4*b*log(c))*cos(3*b*log(c)) + b^3*cos(3*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c))*sin(2*b*log(c)))*n^3 - 3*(b^2*cos(3*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(3*b*log(c)) + b^2*cos(2*b*log(c))*sin(3*b*log(c)) - b^2*cos(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n - 3*cos(3*b*log(c))*sin(4*b*log(c)) + 3*cos(4*b*log(c))*sin(3*b*log(c)) - 3*cos(2*b*log(c))*sin(3*b*log(c)) + 3*cos(3*b*log(c))*sin(2*b*log(c)))*x^3*cos(b*log(x^n) + a) - ((b^3*cos(3*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c)))*n^3 + (b^2*cos(6*b*log(c))*cos(3*b*log(c)) + b^2*sin(6*b*log(c))*sin(3*b*log(c)) + b^2*cos(3*b*log(c)))*n^2 + 9*(b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c)))*n + 9*cos(6*b*log(c))*cos(3*b*log(c)) + 9*sin(6*b*log(c))*sin(3*b*log(c)) + 9*cos(3*b*log(c)))*x^3*sin(3*b*log(x^n) + 3*a) + 9*((b^3*cos(3*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(3*b*log(c)) + b^3*cos(2*b*log(c))*sin(3*b*log(c)) - b^3*cos(3*b*log(c))*sin(2*b*log(c)))*n^3 + 3*(b^2*cos(4*b*log(c))*cos(3*b*log(c)) + b^2*cos(3*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n + 3*cos(4*b*log(c))*cos(3*b*log(c)) + 3*cos(3*b*log(c))*cos(2*b*log(c)) + 3*sin(4*b*log(c))*sin(3*b*log(c)) + 3*sin(3*b*log(c))*sin(2*b*log(c)))*x^3*sin(b*log(x^n) + a))/((b^4*cos(3*b*log(c))^2 + b^4*sin(3*b*log(c))^2)*n^4 + 10*(b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2)*n^2 + 9*cos(3*b*log(c))^2 + 9*sin(3*b*log(c))^2)","B",0
14,1,1016,0,0.386598," ","integrate(x*sin(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{3} - 2 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 12 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right)\right)} n - 8 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 8 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - 8 \, \sin\left(3 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 3 \, {\left(9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 18 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - 8 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + 8 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - 8 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 8 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left(3 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{3} + 2 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 12 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right)\right)} n + 8 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + 8 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 8 \, \cos\left(3 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 3 \, {\left(9 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 18 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 8 \, \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + 8 \, \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 8 \, \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 8 \, \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(b \log\left(x^{n}\right) + a\right)}{8 \, {\left(9 \, {\left(b^{4} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 40 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 16 \, \cos\left(3 \, b \log\left(c\right)\right)^{2} + 16 \, \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/8*((3*(b^3*cos(6*b*log(c))*cos(3*b*log(c)) + b^3*sin(6*b*log(c))*sin(3*b*log(c)) + b^3*cos(3*b*log(c)))*n^3 - 2*(b^2*cos(3*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c)))*n^2 + 12*(b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + b*cos(3*b*log(c)))*n - 8*cos(3*b*log(c))*sin(6*b*log(c)) + 8*cos(6*b*log(c))*sin(3*b*log(c)) - 8*sin(3*b*log(c)))*x^2*cos(3*b*log(x^n) + 3*a) - 3*(9*(b^3*cos(4*b*log(c))*cos(3*b*log(c)) + b^3*cos(3*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c))*sin(2*b*log(c)))*n^3 - 18*(b^2*cos(3*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(3*b*log(c)) + b^2*cos(2*b*log(c))*sin(3*b*log(c)) - b^2*cos(3*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n - 8*cos(3*b*log(c))*sin(4*b*log(c)) + 8*cos(4*b*log(c))*sin(3*b*log(c)) - 8*cos(2*b*log(c))*sin(3*b*log(c)) + 8*cos(3*b*log(c))*sin(2*b*log(c)))*x^2*cos(b*log(x^n) + a) - (3*(b^3*cos(3*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c)))*n^3 + 2*(b^2*cos(6*b*log(c))*cos(3*b*log(c)) + b^2*sin(6*b*log(c))*sin(3*b*log(c)) + b^2*cos(3*b*log(c)))*n^2 + 12*(b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c)))*n + 8*cos(6*b*log(c))*cos(3*b*log(c)) + 8*sin(6*b*log(c))*sin(3*b*log(c)) + 8*cos(3*b*log(c)))*x^2*sin(3*b*log(x^n) + 3*a) + 3*(9*(b^3*cos(3*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(3*b*log(c)) + b^3*cos(2*b*log(c))*sin(3*b*log(c)) - b^3*cos(3*b*log(c))*sin(2*b*log(c)))*n^3 + 18*(b^2*cos(4*b*log(c))*cos(3*b*log(c)) + b^2*cos(3*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n + 8*cos(4*b*log(c))*cos(3*b*log(c)) + 8*cos(3*b*log(c))*cos(2*b*log(c)) + 8*sin(4*b*log(c))*sin(3*b*log(c)) + 8*sin(3*b*log(c))*sin(2*b*log(c)))*x^2*sin(b*log(x^n) + a))/(9*(b^4*cos(3*b*log(c))^2 + b^4*sin(3*b*log(c))^2)*n^4 + 40*(b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2)*n^2 + 16*cos(3*b*log(c))^2 + 16*sin(3*b*log(c))^2)","B",0
15,1,990,0,0.389607," ","integrate(sin(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{3} - {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \sin\left(3 \, b \log\left(c\right)\right)\right)} x \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 3 \, {\left(9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 9 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) - {\left(3 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{3} + {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 3 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right)\right)} x \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 3 \, {\left(9 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 9 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)}{8 \, {\left(9 \, {\left(b^{4} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 10 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(3 \, b \log\left(c\right)\right)^{2} + \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/8*((3*(b^3*cos(6*b*log(c))*cos(3*b*log(c)) + b^3*sin(6*b*log(c))*sin(3*b*log(c)) + b^3*cos(3*b*log(c)))*n^3 - (b^2*cos(3*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c)))*n^2 + 3*(b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + b*cos(3*b*log(c)))*n - cos(3*b*log(c))*sin(6*b*log(c)) + cos(6*b*log(c))*sin(3*b*log(c)) - sin(3*b*log(c)))*x*cos(3*b*log(x^n) + 3*a) - 3*(9*(b^3*cos(4*b*log(c))*cos(3*b*log(c)) + b^3*cos(3*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c))*sin(2*b*log(c)))*n^3 - 9*(b^2*cos(3*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(3*b*log(c)) + b^2*cos(2*b*log(c))*sin(3*b*log(c)) - b^2*cos(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n - cos(3*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(3*b*log(c)) - cos(2*b*log(c))*sin(3*b*log(c)) + cos(3*b*log(c))*sin(2*b*log(c)))*x*cos(b*log(x^n) + a) - (3*(b^3*cos(3*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c)))*n^3 + (b^2*cos(6*b*log(c))*cos(3*b*log(c)) + b^2*sin(6*b*log(c))*sin(3*b*log(c)) + b^2*cos(3*b*log(c)))*n^2 + 3*(b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c)))*n + cos(6*b*log(c))*cos(3*b*log(c)) + sin(6*b*log(c))*sin(3*b*log(c)) + cos(3*b*log(c)))*x*sin(3*b*log(x^n) + 3*a) + 3*(9*(b^3*cos(3*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(3*b*log(c)) + b^3*cos(2*b*log(c))*sin(3*b*log(c)) - b^3*cos(3*b*log(c))*sin(2*b*log(c)))*n^3 + 9*(b^2*cos(4*b*log(c))*cos(3*b*log(c)) + b^2*cos(3*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(3*b*log(c)) + cos(3*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c))*sin(2*b*log(c)))*x*sin(b*log(x^n) + a))/(9*(b^4*cos(3*b*log(c))^2 + b^4*sin(3*b*log(c))^2)*n^4 + 10*(b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2)*n^2 + cos(3*b*log(c))^2 + sin(3*b*log(c))^2)","B",0
16,1,233,0,0.360535," ","integrate(sin(a+b*log(c*x^n))^3/x,x, algorithm=""maxima"")","\frac{{\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right)\right)} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 9 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right)\right)} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 9 \, {\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)}{24 \, b n}"," ",0,"1/24*((cos(6*b*log(c))*cos(3*b*log(c)) + sin(6*b*log(c))*sin(3*b*log(c)) + cos(3*b*log(c)))*cos(3*b*log(x^n) + 3*a) - 9*(cos(4*b*log(c))*cos(3*b*log(c)) + cos(3*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c))*sin(2*b*log(c)))*cos(b*log(x^n) + a) - (cos(3*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c)))*sin(3*b*log(x^n) + 3*a) + 9*(cos(3*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(3*b*log(c)) + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*sin(b*log(x^n) + a))/(b*n)","B",0
17,1,995,0,0.403113," ","integrate(sin(a+b*log(c*x^n))^3/x^2,x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{3} + {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right)\right)} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 3 \, {\left(9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 9 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left(3 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{3} - {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 3 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right)\right)} n - \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) - \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right)\right)} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 3 \, {\left(9 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 9 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)}{8 \, {\left(9 \, {\left(b^{4} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 10 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(3 \, b \log\left(c\right)\right)^{2} + \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} x}"," ",0,"1/8*((3*(b^3*cos(6*b*log(c))*cos(3*b*log(c)) + b^3*sin(6*b*log(c))*sin(3*b*log(c)) + b^3*cos(3*b*log(c)))*n^3 + (b^2*cos(3*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c)))*n^2 + 3*(b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + b*cos(3*b*log(c)))*n + cos(3*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c)))*cos(3*b*log(x^n) + 3*a) - 3*(9*(b^3*cos(4*b*log(c))*cos(3*b*log(c)) + b^3*cos(3*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c))*sin(2*b*log(c)))*n^3 + 9*(b^2*cos(3*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(3*b*log(c)) + b^2*cos(2*b*log(c))*sin(3*b*log(c)) - b^2*cos(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n + cos(3*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(3*b*log(c)) + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*cos(b*log(x^n) + a) - (3*(b^3*cos(3*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c)))*n^3 - (b^2*cos(6*b*log(c))*cos(3*b*log(c)) + b^2*sin(6*b*log(c))*sin(3*b*log(c)) + b^2*cos(3*b*log(c)))*n^2 + 3*(b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c)))*n - cos(6*b*log(c))*cos(3*b*log(c)) - sin(6*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c)))*sin(3*b*log(x^n) + 3*a) + 3*(9*(b^3*cos(3*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(3*b*log(c)) + b^3*cos(2*b*log(c))*sin(3*b*log(c)) - b^3*cos(3*b*log(c))*sin(2*b*log(c)))*n^3 - 9*(b^2*cos(4*b*log(c))*cos(3*b*log(c)) + b^2*cos(3*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n - cos(4*b*log(c))*cos(3*b*log(c)) - cos(3*b*log(c))*cos(2*b*log(c)) - sin(4*b*log(c))*sin(3*b*log(c)) - sin(3*b*log(c))*sin(2*b*log(c)))*sin(b*log(x^n) + a))/((9*(b^4*cos(3*b*log(c))^2 + b^4*sin(3*b*log(c))^2)*n^4 + 10*(b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2)*n^2 + cos(3*b*log(c))^2 + sin(3*b*log(c))^2)*x)","B",0
18,1,1007,0,0.405558," ","integrate(sin(a+b*log(c*x^n))^3/x^3,x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{3} + 2 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 12 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right)\right)} n + 8 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - 8 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 8 \, \sin\left(3 \, b \log\left(c\right)\right)\right)} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 3 \, {\left(9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 18 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 8 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - 8 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 8 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - 8 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left(3 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{3} - 2 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 12 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right)\right)} n - 8 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) - 8 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - 8 \, \cos\left(3 \, b \log\left(c\right)\right)\right)} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 3 \, {\left(9 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 18 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - 8 \, \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) - 8 \, \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - 8 \, \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - 8 \, \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)}{8 \, {\left(9 \, {\left(b^{4} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 40 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 16 \, \cos\left(3 \, b \log\left(c\right)\right)^{2} + 16 \, \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} x^{2}}"," ",0,"1/8*((3*(b^3*cos(6*b*log(c))*cos(3*b*log(c)) + b^3*sin(6*b*log(c))*sin(3*b*log(c)) + b^3*cos(3*b*log(c)))*n^3 + 2*(b^2*cos(3*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c)))*n^2 + 12*(b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + b*cos(3*b*log(c)))*n + 8*cos(3*b*log(c))*sin(6*b*log(c)) - 8*cos(6*b*log(c))*sin(3*b*log(c)) + 8*sin(3*b*log(c)))*cos(3*b*log(x^n) + 3*a) - 3*(9*(b^3*cos(4*b*log(c))*cos(3*b*log(c)) + b^3*cos(3*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c))*sin(2*b*log(c)))*n^3 + 18*(b^2*cos(3*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(3*b*log(c)) + b^2*cos(2*b*log(c))*sin(3*b*log(c)) - b^2*cos(3*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n + 8*cos(3*b*log(c))*sin(4*b*log(c)) - 8*cos(4*b*log(c))*sin(3*b*log(c)) + 8*cos(2*b*log(c))*sin(3*b*log(c)) - 8*cos(3*b*log(c))*sin(2*b*log(c)))*cos(b*log(x^n) + a) - (3*(b^3*cos(3*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c)))*n^3 - 2*(b^2*cos(6*b*log(c))*cos(3*b*log(c)) + b^2*sin(6*b*log(c))*sin(3*b*log(c)) + b^2*cos(3*b*log(c)))*n^2 + 12*(b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c)))*n - 8*cos(6*b*log(c))*cos(3*b*log(c)) - 8*sin(6*b*log(c))*sin(3*b*log(c)) - 8*cos(3*b*log(c)))*sin(3*b*log(x^n) + 3*a) + 3*(9*(b^3*cos(3*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(3*b*log(c)) + b^3*cos(2*b*log(c))*sin(3*b*log(c)) - b^3*cos(3*b*log(c))*sin(2*b*log(c)))*n^3 - 18*(b^2*cos(4*b*log(c))*cos(3*b*log(c)) + b^2*cos(3*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n - 8*cos(4*b*log(c))*cos(3*b*log(c)) - 8*cos(3*b*log(c))*cos(2*b*log(c)) - 8*sin(4*b*log(c))*sin(3*b*log(c)) - 8*sin(3*b*log(c))*sin(2*b*log(c)))*sin(b*log(x^n) + a))/((9*(b^4*cos(3*b*log(c))^2 + b^4*sin(3*b*log(c))^2)*n^4 + 40*(b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2)*n^2 + 16*cos(3*b*log(c))^2 + 16*sin(3*b*log(c))^2)*x^2)","B",0
19,1,1107,0,0.409916," ","integrate(x^2*sin(a+b*log(c*x^n))^4,x, algorithm=""maxima"")","\frac{{\left(16 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{3} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} + 12 \, {\left(b^{2} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 36 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right)\right)} n + 27 \, \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + 27 \, \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + 27 \, \cos\left(4 \, b \log\left(c\right)\right)\right)} x^{3} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(32 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 48 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 18 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 27 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + 27 \, \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 27 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + 27 \, \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(16 \, {\left(b^{3} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{3} - 12 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{2} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 36 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right)\right)} n - 27 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) + 27 \, \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - 27 \, \sin\left(4 \, b \log\left(c\right)\right)\right)} x^{3} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(32 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 48 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 18 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - 27 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 27 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - 27 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + 27 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(64 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 180 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 81 \, \cos\left(4 \, b \log\left(c\right)\right)^{2} + 81 \, \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} x^{3}}{16 \, {\left(64 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 180 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 81 \, \cos\left(4 \, b \log\left(c\right)\right)^{2} + 81 \, \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/16*((16*(b^3*cos(4*b*log(c))*sin(8*b*log(c)) - b^3*cos(8*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c)))*n^3 + 12*(b^2*cos(8*b*log(c))*cos(4*b*log(c)) + b^2*sin(8*b*log(c))*sin(4*b*log(c)) + b^2*cos(4*b*log(c)))*n^2 + 36*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c)))*n + 27*cos(8*b*log(c))*cos(4*b*log(c)) + 27*sin(8*b*log(c))*sin(4*b*log(c)) + 27*cos(4*b*log(c)))*x^3*cos(4*b*log(x^n) + 4*a) - 4*(32*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)) + b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3 + 48*(b^2*cos(6*b*log(c))*cos(4*b*log(c)) + b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + 18*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)) + b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + 27*cos(6*b*log(c))*cos(4*b*log(c)) + 27*cos(4*b*log(c))*cos(2*b*log(c)) + 27*sin(6*b*log(c))*sin(4*b*log(c)) + 27*sin(4*b*log(c))*sin(2*b*log(c)))*x^3*cos(2*b*log(x^n) + 2*a) + (16*(b^3*cos(8*b*log(c))*cos(4*b*log(c)) + b^3*sin(8*b*log(c))*sin(4*b*log(c)) + b^3*cos(4*b*log(c)))*n^3 - 12*(b^2*cos(4*b*log(c))*sin(8*b*log(c)) - b^2*cos(8*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c)))*n^2 + 36*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)) + b*cos(4*b*log(c)))*n - 27*cos(4*b*log(c))*sin(8*b*log(c)) + 27*cos(8*b*log(c))*sin(4*b*log(c)) - 27*sin(4*b*log(c)))*x^3*sin(4*b*log(x^n) + 4*a) - 4*(32*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3 - 48*(b^2*cos(4*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(4*b*log(c)) + b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 + 18*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n - 27*cos(4*b*log(c))*sin(6*b*log(c)) + 27*cos(6*b*log(c))*sin(4*b*log(c)) - 27*cos(2*b*log(c))*sin(4*b*log(c)) + 27*cos(4*b*log(c))*sin(2*b*log(c)))*x^3*sin(2*b*log(x^n) + 2*a) + 2*(64*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 180*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + 81*cos(4*b*log(c))^2 + 81*sin(4*b*log(c))^2)*x^3)/(64*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 180*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + 81*cos(4*b*log(c))^2 + 81*sin(4*b*log(c))^2)","B",0
20,1,1085,0,0.409011," ","integrate(x*sin(a+b*log(c*x^n))^4,x, algorithm=""maxima"")","\frac{{\left(2 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{3} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} + {\left(b^{2} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(4 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 4 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(2 \, {\left(b^{3} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{3} - {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{2} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) + \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(4 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 4 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 6 \, {\left(4 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 5 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} x^{2}}{32 \, {\left(4 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 5 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/32*((2*(b^3*cos(4*b*log(c))*sin(8*b*log(c)) - b^3*cos(8*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c)))*n^3 + (b^2*cos(8*b*log(c))*cos(4*b*log(c)) + b^2*sin(8*b*log(c))*sin(4*b*log(c)) + b^2*cos(4*b*log(c)))*n^2 + 2*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c)))*n + cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c)))*x^2*cos(4*b*log(x^n) + 4*a) - 4*(4*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)) + b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3 + 4*(b^2*cos(6*b*log(c))*cos(4*b*log(c)) + b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)) + b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(6*b*log(c))*cos(4*b*log(c)) + cos(4*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*x^2*cos(2*b*log(x^n) + 2*a) + (2*(b^3*cos(8*b*log(c))*cos(4*b*log(c)) + b^3*sin(8*b*log(c))*sin(4*b*log(c)) + b^3*cos(4*b*log(c)))*n^3 - (b^2*cos(4*b*log(c))*sin(8*b*log(c)) - b^2*cos(8*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c)))*n^2 + 2*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)) + b*cos(4*b*log(c)))*n - cos(4*b*log(c))*sin(8*b*log(c)) + cos(8*b*log(c))*sin(4*b*log(c)) - sin(4*b*log(c)))*x^2*sin(4*b*log(x^n) + 4*a) - 4*(4*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3 - 4*(b^2*cos(4*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(4*b*log(c)) + b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(6*b*log(c))*cos(4*b*log(c)) + b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n - cos(4*b*log(c))*sin(6*b*log(c)) + cos(6*b*log(c))*sin(4*b*log(c)) - cos(2*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(2*b*log(c)))*x^2*sin(2*b*log(x^n) + 2*a) + 6*(4*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 5*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*x^2)/(4*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 5*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + cos(4*b*log(c))^2 + sin(4*b*log(c))^2)","B",0
21,1,1078,0,0.405559," ","integrate(sin(a+b*log(c*x^n))^4,x, algorithm=""maxima"")","\frac{{\left(16 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{3} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} + 4 \, {\left(b^{2} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(32 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 16 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(16 \, {\left(b^{3} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{3} - 4 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{2} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) + \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(32 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 16 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 6 \, {\left(64 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 20 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} x}{16 \, {\left(64 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 20 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/16*((16*(b^3*cos(4*b*log(c))*sin(8*b*log(c)) - b^3*cos(8*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c)))*n^3 + 4*(b^2*cos(8*b*log(c))*cos(4*b*log(c)) + b^2*sin(8*b*log(c))*sin(4*b*log(c)) + b^2*cos(4*b*log(c)))*n^2 + 4*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c)))*n + cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c)))*x*cos(4*b*log(x^n) + 4*a) - 4*(32*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)) + b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3 + 16*(b^2*cos(6*b*log(c))*cos(4*b*log(c)) + b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + 2*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)) + b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(6*b*log(c))*cos(4*b*log(c)) + cos(4*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + (16*(b^3*cos(8*b*log(c))*cos(4*b*log(c)) + b^3*sin(8*b*log(c))*sin(4*b*log(c)) + b^3*cos(4*b*log(c)))*n^3 - 4*(b^2*cos(4*b*log(c))*sin(8*b*log(c)) - b^2*cos(8*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c)))*n^2 + 4*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)) + b*cos(4*b*log(c)))*n - cos(4*b*log(c))*sin(8*b*log(c)) + cos(8*b*log(c))*sin(4*b*log(c)) - sin(4*b*log(c)))*x*sin(4*b*log(x^n) + 4*a) - 4*(32*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3 - 16*(b^2*cos(4*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(4*b*log(c)) + b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 + 2*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n - cos(4*b*log(c))*sin(6*b*log(c)) + cos(6*b*log(c))*sin(4*b*log(c)) - cos(2*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) + 6*(64*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 20*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*x)/(64*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 20*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + cos(4*b*log(c))^2 + sin(4*b*log(c))^2)","B",0
22,1,93,0,0.361975," ","integrate(sin(a+b*log(c*x^n))^4/x,x, algorithm=""maxima"")","\frac{12 \, b n \log\left(x\right) + \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) \sin\left(4 \, b \log\left(c\right)\right) - 8 \, \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 8 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{32 \, b n}"," ",0,"1/32*(12*b*n*log(x) + cos(4*b*log(x^n) + 4*a)*sin(4*b*log(c)) - 8*cos(2*b*log(x^n) + 2*a)*sin(2*b*log(c)) + cos(4*b*log(c))*sin(4*b*log(x^n) + 4*a) - 8*cos(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/(b*n)","A",0
23,1,1085,0,0.407876," ","integrate(sin(a+b*log(c*x^n))^4/x^2,x, algorithm=""maxima"")","-\frac{384 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 120 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 6 \, \cos\left(4 \, b \log\left(c\right)\right)^{2} - {\left(16 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{3} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} - 4 \, {\left(b^{2} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) - \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(32 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 16 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 6 \, \sin\left(4 \, b \log\left(c\right)\right)^{2} - {\left(16 \, {\left(b^{3} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{3} + 4 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{2} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(32 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 16 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{16 \, {\left(64 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 20 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} x}"," ",0,"-1/16*(384*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 120*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + 6*cos(4*b*log(c))^2 - (16*(b^3*cos(4*b*log(c))*sin(8*b*log(c)) - b^3*cos(8*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c)))*n^3 - 4*(b^2*cos(8*b*log(c))*cos(4*b*log(c)) + b^2*sin(8*b*log(c))*sin(4*b*log(c)) + b^2*cos(4*b*log(c)))*n^2 + 4*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c)))*n - cos(8*b*log(c))*cos(4*b*log(c)) - sin(8*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*(32*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)) + b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3 - 16*(b^2*cos(6*b*log(c))*cos(4*b*log(c)) + b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + 2*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)) + b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n - cos(6*b*log(c))*cos(4*b*log(c)) - cos(4*b*log(c))*cos(2*b*log(c)) - sin(6*b*log(c))*sin(4*b*log(c)) - sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 6*sin(4*b*log(c))^2 - (16*(b^3*cos(8*b*log(c))*cos(4*b*log(c)) + b^3*sin(8*b*log(c))*sin(4*b*log(c)) + b^3*cos(4*b*log(c)))*n^3 + 4*(b^2*cos(4*b*log(c))*sin(8*b*log(c)) - b^2*cos(8*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c)))*n^2 + 4*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)) + b*cos(4*b*log(c)))*n + cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*(32*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3 + 16*(b^2*cos(4*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(4*b*log(c)) + b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 + 2*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)) + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))/((64*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 20*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*x)","B",0
24,1,1082,0,0.412086," ","integrate(sin(a+b*log(c*x^n))^4/x^3,x, algorithm=""maxima"")","-\frac{24 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 30 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 6 \, \cos\left(4 \, b \log\left(c\right)\right)^{2} - {\left(2 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{3} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} - {\left(b^{2} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) - \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(4 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 4 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 6 \, \sin\left(4 \, b \log\left(c\right)\right)^{2} - {\left(2 \, {\left(b^{3} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{3} + {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{2} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(4 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 4 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{32 \, {\left(4 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 5 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} x^{2}}"," ",0,"-1/32*(24*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 30*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + 6*cos(4*b*log(c))^2 - (2*(b^3*cos(4*b*log(c))*sin(8*b*log(c)) - b^3*cos(8*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c)))*n^3 - (b^2*cos(8*b*log(c))*cos(4*b*log(c)) + b^2*sin(8*b*log(c))*sin(4*b*log(c)) + b^2*cos(4*b*log(c)))*n^2 + 2*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c)))*n - cos(8*b*log(c))*cos(4*b*log(c)) - sin(8*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*(4*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)) + b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3 - 4*(b^2*cos(6*b*log(c))*cos(4*b*log(c)) + b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)) + b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n - cos(6*b*log(c))*cos(4*b*log(c)) - cos(4*b*log(c))*cos(2*b*log(c)) - sin(6*b*log(c))*sin(4*b*log(c)) - sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 6*sin(4*b*log(c))^2 - (2*(b^3*cos(8*b*log(c))*cos(4*b*log(c)) + b^3*sin(8*b*log(c))*sin(4*b*log(c)) + b^3*cos(4*b*log(c)))*n^3 + (b^2*cos(4*b*log(c))*sin(8*b*log(c)) - b^2*cos(8*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c)))*n^2 + 2*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)) + b*cos(4*b*log(c)))*n + cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*(4*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3 + 4*(b^2*cos(4*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(4*b*log(c)) + b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(6*b*log(c))*cos(4*b*log(c)) + b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)) + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))/((4*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 5*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*x^2)","B",0
25,1,27,0,0.324268," ","integrate(sin(log(b*x+a)),x, algorithm=""maxima"")","-\frac{{\left(b x + a\right)} {\left(\cos\left(\log\left(b x + a\right)\right) - \sin\left(\log\left(b x + a\right)\right)\right)}}{2 \, b}"," ",0,"-1/2*(b*x + a)*(cos(log(b*x + a)) - sin(log(b*x + a)))/b","A",0
26,1,82,0,0.392350," ","integrate(x^m*sin(a+log(c*x^n)*(-(1+m)^2/n^2)^(1/2)),x, algorithm=""maxima"")","\frac{c^{\frac{2 \, m}{n} + \frac{2}{n}} x e^{\left(m \log\left(x\right) + \frac{m \log\left(x^{n}\right)}{n} + \frac{\log\left(x^{n}\right)}{n}\right)} \sin\left(a\right) + 2 \, {\left(m \sin\left(a\right) + \sin\left(a\right)\right)} \log\left(x\right)}{4 \, {\left(c^{\frac{m}{n} + \frac{1}{n}} m + c^{\frac{m}{n} + \frac{1}{n}}\right)}}"," ",0,"1/4*(c^(2*m/n + 2/n)*x*e^(m*log(x) + m*log(x^n)/n + log(x^n)/n)*sin(a) + 2*(m*sin(a) + sin(a))*log(x))/(c^(m/n + 1/n)*m + c^(m/n + 1/n))","A",0
27,1,31,0,0.357966," ","integrate(x^2*sin(a+3*log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""maxima"")","\frac{c^{\frac{6}{n}} x^{6} \sin\left(a\right) + 6 \, \log\left(x\right) \sin\left(a\right)}{12 \, c^{\frac{3}{n}}}"," ",0,"1/12*(c^(6/n)*x^6*sin(a) + 6*log(x)*sin(a))/c^(3/n)","A",0
28,1,31,0,0.359254," ","integrate(x*sin(a+2*log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""maxima"")","\frac{c^{\frac{4}{n}} x^{4} \sin\left(a\right) + 4 \, \log\left(x\right) \sin\left(a\right)}{8 \, c^{\frac{2}{n}}}"," ",0,"1/8*(c^(4/n)*x^4*sin(a) + 4*log(x)*sin(a))/c^(2/n)","A",0
29,1,29,0,0.360390," ","integrate(sin(a+log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""maxima"")","\frac{c^{\frac{2}{n}} x^{2} \sin\left(a\right) + 2 \, \log\left(x\right) \sin\left(a\right)}{4 \, c^{\left(\frac{1}{n}\right)}}"," ",0,"1/4*(c^(2/n)*x^2*sin(a) + 2*log(x)*sin(a))/c^(1/n)","A",0
30,1,5,0,0.311113," ","integrate(sin(a)/x,x, algorithm=""maxima"")","\log\left(x\right) \sin\left(a\right)"," ",0,"log(x)*sin(a)","A",0
31,1,33,0,0.351497," ","integrate(sin(a+log(c*x^n)*(-1/n^2)^(1/2))/x^2,x, algorithm=""maxima"")","\frac{2 \, c^{\frac{2}{n}} x^{2} \log\left(x\right) \sin\left(a\right) - \sin\left(a\right)}{4 \, c^{\left(\frac{1}{n}\right)} x^{2}}"," ",0,"1/4*(2*c^(2/n)*x^2*log(x)*sin(a) - sin(a))/(c^(1/n)*x^2)","A",0
32,1,35,0,0.356167," ","integrate(sin(a+2*log(c*x^n)*(-1/n^2)^(1/2))/x^3,x, algorithm=""maxima"")","\frac{4 \, c^{\frac{4}{n}} x^{4} \log\left(x\right) \sin\left(a\right) - \sin\left(a\right)}{8 \, c^{\frac{2}{n}} x^{4}}"," ",0,"1/8*(4*c^(4/n)*x^4*log(x)*sin(a) - sin(a))/(c^(2/n)*x^4)","A",0
33,1,173,0,0.403730," ","integrate(x^m*sin(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^2,x, algorithm=""maxima"")","\frac{4 \, {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} c^{\frac{m}{n} + \frac{1}{n}} x x^{m} - c^{\frac{2 \, m}{n} + \frac{2}{n}} x \cos\left(2 \, a\right) e^{\left(m \log\left(x\right) + \frac{m \log\left(x^{n}\right)}{n} + \frac{\log\left(x^{n}\right)}{n}\right)} - 2 \, {\left(\cos\left(2 \, a\right)^{3} + \cos\left(2 \, a\right) \sin\left(2 \, a\right)^{2} + {\left(\cos\left(2 \, a\right)^{3} + \cos\left(2 \, a\right) \sin\left(2 \, a\right)^{2}\right)} m\right)} \log\left(x\right)}{8 \, {\left({\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} c^{\frac{m}{n} + \frac{1}{n}} m + {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} c^{\frac{m}{n} + \frac{1}{n}}\right)}}"," ",0,"1/8*(4*(cos(2*a)^2 + sin(2*a)^2)*c^(m/n + 1/n)*x*x^m - c^(2*m/n + 2/n)*x*cos(2*a)*e^(m*log(x) + m*log(x^n)/n + log(x^n)/n) - 2*(cos(2*a)^3 + cos(2*a)*sin(2*a)^2 + (cos(2*a)^3 + cos(2*a)*sin(2*a)^2)*m)*log(x))/((cos(2*a)^2 + sin(2*a)^2)*c^(m/n + 1/n)*m + (cos(2*a)^2 + sin(2*a)^2)*c^(m/n + 1/n))","A",0
34,1,47,0,0.366059," ","integrate(x^2*sin(a+3/2*log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""maxima"")","-\frac{c^{\frac{6}{n}} x^{6} \cos\left(2 \, a\right) - 4 \, c^{\frac{3}{n}} x^{3} + 6 \, \cos\left(2 \, a\right) \log\left(x\right)}{24 \, c^{\frac{3}{n}}}"," ",0,"-1/24*(c^(6/n)*x^6*cos(2*a) - 4*c^(3/n)*x^3 + 6*cos(2*a)*log(x))/c^(3/n)","A",0
35,1,47,0,0.364486," ","integrate(x*sin(a+log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""maxima"")","-\frac{c^{\frac{4}{n}} x^{4} \cos\left(2 \, a\right) - 4 \, c^{\frac{2}{n}} x^{2} + 4 \, \cos\left(2 \, a\right) \log\left(x\right)}{16 \, c^{\frac{2}{n}}}"," ",0,"-1/16*(c^(4/n)*x^4*cos(2*a) - 4*c^(2/n)*x^2 + 4*cos(2*a)*log(x))/c^(2/n)","A",0
36,1,41,0,0.361620," ","integrate(sin(a+1/2*log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""maxima"")","-\frac{c^{\frac{2}{n}} x^{2} \cos\left(2 \, a\right) - 4 \, c^{\left(\frac{1}{n}\right)} x + 2 \, \cos\left(2 \, a\right) \log\left(x\right)}{8 \, c^{\left(\frac{1}{n}\right)}}"," ",0,"-1/8*(c^(2/n)*x^2*cos(2*a) - 4*c^(1/n)*x + 2*cos(2*a)*log(x))/c^(1/n)","A",0
37,1,7,0,0.307921," ","integrate(sin(a)^2/x,x, algorithm=""maxima"")","\log\left(x\right) \sin\left(a\right)^{2}"," ",0,"log(x)*sin(a)^2","A",0
38,1,48,0,0.360572," ","integrate(sin(a+1/2*log(c*x^n)*(-1/n^2)^(1/2))^2/x^2,x, algorithm=""maxima"")","-\frac{2 \, c^{\frac{2}{n}} x^{3} \cos\left(2 \, a\right) \log\left(x\right) + 4 \, c^{\left(\frac{1}{n}\right)} x^{2} - x \cos\left(2 \, a\right)}{8 \, c^{\left(\frac{1}{n}\right)} x^{3}}"," ",0,"-1/8*(2*c^(2/n)*x^3*cos(2*a)*log(x) + 4*c^(1/n)*x^2 - x*cos(2*a))/(c^(1/n)*x^3)","A",0
39,1,54,0,0.369856," ","integrate(sin(a+log(c*x^n)*(-1/n^2)^(1/2))^2/x^3,x, algorithm=""maxima"")","-\frac{4 \, c^{\frac{4}{n}} x^{6} \cos\left(2 \, a\right) \log\left(x\right) + 4 \, c^{\frac{2}{n}} x^{4} - x^{2} \cos\left(2 \, a\right)}{16 \, c^{\frac{2}{n}} x^{6}}"," ",0,"-1/16*(4*c^(4/n)*x^6*cos(2*a)*log(x) + 4*c^(2/n)*x^4 - x^2*cos(2*a))/(c^(2/n)*x^6)","A",0
40,1,195,0,0.453365," ","integrate(x^m*sin(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^3,x, algorithm=""maxima"")","-\frac{{\left(c^{\frac{3 \, m}{n} + \frac{3}{n}} x e^{\left(m \log\left(x\right) + \frac{3 \, m \log\left(x^{n}\right)}{n} + \frac{3 \, \log\left(x^{n}\right)}{n}\right)} \sin\left(3 \, a\right) - 5 \, c^{\frac{2 \, m}{n} + \frac{2}{n}} x e^{\left(m \log\left(x\right) + \frac{2 \, m \log\left(x^{n}\right)}{n} + \frac{2 \, \log\left(x^{n}\right)}{n}\right)} \sin\left(a\right) - 15 \, c^{\frac{m}{n} + \frac{1}{n}} x e^{\left(m \log\left(x\right) + \frac{m \log\left(x^{n}\right)}{n} + \frac{\log\left(x^{n}\right)}{n}\right)} \sin\left(a\right) - 5 \, x x^{m} \sin\left(3 \, a\right)\right)} e^{\left(-\frac{3 \, m \log\left(x^{n}\right)}{2 \, n} - \frac{3 \, \log\left(x^{n}\right)}{2 \, n}\right)}}{20 \, {\left(c^{\frac{3 \, m}{2 \, n} + \frac{3}{2 \, n}} m + c^{\frac{3 \, m}{2 \, n} + \frac{3}{2 \, n}}\right)}}"," ",0,"-1/20*(c^(3*m/n + 3/n)*x*e^(m*log(x) + 3*m*log(x^n)/n + 3*log(x^n)/n)*sin(3*a) - 5*c^(2*m/n + 2/n)*x*e^(m*log(x) + 2*m*log(x^n)/n + 2*log(x^n)/n)*sin(a) - 15*c^(m/n + 1/n)*x*e^(m*log(x) + m*log(x^n)/n + log(x^n)/n)*sin(a) - 5*x*x^m*sin(3*a))*e^(-3/2*m*log(x^n)/n - 3/2*log(x^n)/n)/(c^(3/2*m/n + 3/2/n)*m + c^(3/2*m/n + 3/2/n))","A",0
41,1,90,0,0.379880," ","integrate(x^2*sin(a+log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""maxima"")","\frac{18 \, c^{\frac{2}{n}} x^{3} \sin\left(a\right) - 12 \, {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} \log\left(x\right) \sin\left(3 \, a\right) - {\left(2 \, c^{\frac{6}{n}} x^{6} \sin\left(3 \, a\right) - 9 \, c^{\frac{4}{n}} x^{4} \sin\left(a\right)\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)}}{96 \, c^{\frac{3}{n}} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)}}"," ",0,"1/96*(18*c^(2/n)*x^3*sin(a) - 12*(x^n)^(1/n)*log(x)*sin(3*a) - (2*c^(6/n)*x^6*sin(3*a) - 9*c^(4/n)*x^4*sin(a))*(x^n)^(1/n))/(c^(3/n)*(x^n)^(1/n))","A",0
42,1,112,0,0.365916," ","integrate(x*sin(a+2/3*log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""maxima"")","\frac{9 \, c^{\frac{10}{3 \, n}} x^{2} {\left(x^{n}\right)}^{\frac{4}{3 \, n}} \sin\left(a\right) - 8 \, c^{\frac{2}{3 \, n}} {\left(x^{n}\right)}^{\frac{2}{3 \, n}} \log\left(x\right) \sin\left(3 \, a\right) + 18 \, c^{\frac{2}{n}} x^{2} \sin\left(a\right) - 2 \, c^{\frac{14}{3 \, n}} e^{\left(\frac{2 \, \log\left(x^{n}\right)}{3 \, n} + 4 \, \log\left(x\right)\right)} \sin\left(3 \, a\right)}{64 \, c^{\frac{8}{3 \, n}} {\left(x^{n}\right)}^{\frac{2}{3 \, n}}}"," ",0,"1/64*(9*c^(10/3/n)*x^2*(x^n)^(4/3/n)*sin(a) - 8*c^(2/3/n)*(x^n)^(2/3/n)*log(x)*sin(3*a) + 18*c^(2/n)*x^2*sin(a) - 2*c^(14/3/n)*e^(2/3*log(x^n)/n + 4*log(x))*sin(3*a))/(c^(8/3/n)*(x^n)^(2/3/n))","A",0
43,1,106,0,0.364714," ","integrate(sin(a+1/3*log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""maxima"")","-\frac{4 \, c^{\frac{1}{3 \, n}} {\left(x^{n}\right)}^{\frac{1}{3 \, n}} \log\left(x\right) \sin\left(3 \, a\right) - 9 \, c^{\frac{5}{3 \, n}} x {\left(x^{n}\right)}^{\frac{2}{3 \, n}} \sin\left(a\right) + 2 \, c^{\frac{7}{3 \, n}} e^{\left(\frac{\log\left(x^{n}\right)}{3 \, n} + 2 \, \log\left(x\right)\right)} \sin\left(3 \, a\right) - 18 \, c^{\left(\frac{1}{n}\right)} x \sin\left(a\right)}{32 \, c^{\frac{4}{3 \, n}} {\left(x^{n}\right)}^{\frac{1}{3 \, n}}}"," ",0,"-1/32*(4*c^(1/3/n)*(x^n)^(1/3/n)*log(x)*sin(3*a) - 9*c^(5/3/n)*x*(x^n)^(2/3/n)*sin(a) + 2*c^(7/3/n)*e^(1/3*log(x^n)/n + 2*log(x))*sin(3*a) - 18*c^(1/n)*x*sin(a))/(c^(4/3/n)*(x^n)^(1/3/n))","A",0
44,1,7,0,0.300219," ","integrate(sin(a)^3/x,x, algorithm=""maxima"")","\log\left(x\right) \sin\left(a\right)^{3}"," ",0,"log(x)*sin(a)^3","A",0
45,1,122,0,0.372387," ","integrate(sin(a+1/3*log(c*x^n)*(-1/n^2)^(1/2))^3/x^2,x, algorithm=""maxima"")","-\frac{{\left(4 \, c^{\frac{7}{3 \, n}} x e^{\left(\frac{\log\left(x^{n}\right)}{3 \, n} + 2 \, \log\left(x\right)\right)} \log\left(x\right) \sin\left(3 \, a\right) - 2 \, c^{\frac{1}{3 \, n}} x {\left(x^{n}\right)}^{\frac{1}{3 \, n}} \sin\left(3 \, a\right) + 9 \, c^{\left(\frac{1}{n}\right)} x^{2} \sin\left(a\right) + 18 \, c^{\frac{5}{3 \, n}} e^{\left(\frac{2 \, \log\left(x^{n}\right)}{3 \, n} + 2 \, \log\left(x\right)\right)} \sin\left(a\right)\right)} e^{\left(-\frac{\log\left(x^{n}\right)}{3 \, n} - 2 \, \log\left(x\right)\right)}}{32 \, c^{\frac{4}{3 \, n}} x}"," ",0,"-1/32*(4*c^(7/3/n)*x*e^(1/3*log(x^n)/n + 2*log(x))*log(x)*sin(3*a) - 2*c^(1/3/n)*x*(x^n)^(1/3/n)*sin(3*a) + 9*c^(1/n)*x^2*sin(a) + 18*c^(5/3/n)*e^(2/3*log(x^n)/n + 2*log(x))*sin(a))*e^(-1/3*log(x^n)/n - 2*log(x))/(c^(4/3/n)*x)","A",0
46,1,128,0,0.376079," ","integrate(sin(a+2/3*log(c*x^n)*(-1/n^2)^(1/2))^3/x^3,x, algorithm=""maxima"")","-\frac{{\left(8 \, c^{\frac{14}{3 \, n}} x^{2} e^{\left(\frac{2 \, \log\left(x^{n}\right)}{3 \, n} + 4 \, \log\left(x\right)\right)} \log\left(x\right) \sin\left(3 \, a\right) + 9 \, c^{\frac{2}{n}} x^{4} \sin\left(a\right) - 2 \, c^{\frac{2}{3 \, n}} x^{2} {\left(x^{n}\right)}^{\frac{2}{3 \, n}} \sin\left(3 \, a\right) + 18 \, c^{\frac{10}{3 \, n}} e^{\left(\frac{4 \, \log\left(x^{n}\right)}{3 \, n} + 4 \, \log\left(x\right)\right)} \sin\left(a\right)\right)} e^{\left(-\frac{2 \, \log\left(x^{n}\right)}{3 \, n} - 4 \, \log\left(x\right)\right)}}{64 \, c^{\frac{8}{3 \, n}} x^{2}}"," ",0,"-1/64*(8*c^(14/3/n)*x^2*e^(2/3*log(x^n)/n + 4*log(x))*log(x)*sin(3*a) + 9*c^(2/n)*x^4*sin(a) - 2*c^(2/3/n)*x^2*(x^n)^(2/3/n)*sin(3*a) + 18*c^(10/3/n)*e^(4/3*log(x^n)/n + 4*log(x))*sin(a))*e^(-2/3*log(x^n)/n - 4*log(x))/(c^(8/3/n)*x^2)","A",0
47,1,48,0,0.351186," ","integrate(x^m*sin(a+1/2*log(c*x^2)*(-(1+m)^2)^(1/2)),x, algorithm=""maxima"")","\frac{c^{m + 1} x^{2} x^{2 \, m} \sin\left(a\right) + 2 \, {\left(m \sin\left(a\right) + \sin\left(a\right)\right)} \log\left(x\right)}{4 \, {\left(c^{\frac{1}{2} \, m} m + c^{\frac{1}{2} \, m}\right)} \sqrt{c}}"," ",0,"1/4*(c^(m + 1)*x^2*x^(2*m)*sin(a) + 2*(m*sin(a) + sin(a))*log(x))/((c^(1/2*m)*m + c^(1/2*m))*sqrt(c))","A",0
48,1,31,0,0.355396," ","integrate(sin(a+1/2*I*log(c*x^2)),x, algorithm=""maxima"")","\frac{c x^{2} {\left(i \, \cos\left(a\right) + \sin\left(a\right)\right)} - 2 \, {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \log\left(x\right)}{4 \, \sqrt{c}}"," ",0,"1/4*(c*x^2*(I*cos(a) + sin(a)) - 2*(I*cos(a) - sin(a))*log(x))/sqrt(c)","A",0
49,1,134,0,0.367988," ","integrate(x^m*sin(a+1/4*log(c*x^2)*(-(1+m)^2)^(1/2))^2,x, algorithm=""maxima"")","-\frac{c^{m + 1} x^{2} x^{2 \, m} \cos\left(2 \, a\right) - 4 \, {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} c^{\frac{1}{2} \, m + \frac{1}{2}} x x^{m} + 2 \, {\left(\cos\left(2 \, a\right)^{3} + \cos\left(2 \, a\right) \sin\left(2 \, a\right)^{2} + {\left(\cos\left(2 \, a\right)^{3} + \cos\left(2 \, a\right) \sin\left(2 \, a\right)^{2}\right)} m\right)} \log\left(x\right)}{8 \, {\left({\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} c^{\frac{1}{2} \, m} m + {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} c^{\frac{1}{2} \, m}\right)} \sqrt{c}}"," ",0,"-1/8*(c^(m + 1)*x^2*x^(2*m)*cos(2*a) - 4*(cos(2*a)^2 + sin(2*a)^2)*c^(1/2*m + 1/2)*x*x^m + 2*(cos(2*a)^3 + cos(2*a)*sin(2*a)^2 + (cos(2*a)^3 + cos(2*a)*sin(2*a)^2)*m)*log(x))/(((cos(2*a)^2 + sin(2*a)^2)*c^(1/2*m)*m + (cos(2*a)^2 + sin(2*a)^2)*c^(1/2*m))*sqrt(c))","A",0
50,1,48,0,0.345599," ","integrate(sin(a+1/4*I*log(c*x^2))^2,x, algorithm=""maxima"")","\frac{4 \, c x - {\left(c x^{2} {\left(\cos\left(2 \, a\right) - i \, \sin\left(2 \, a\right)\right)} + {\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} \log\left(x\right)\right)} \sqrt{c}}{8 \, c}"," ",0,"1/8*(4*c*x - (c*x^2*(cos(2*a) - I*sin(2*a)) + (2*cos(2*a) + 2*I*sin(2*a))*log(x))*sqrt(c))/c","A",0
51,1,206,0,0.374148," ","integrate(x^m*sin(a+1/6*log(c*x^2)*(-(1+m)^2)^(1/2))^3,x, algorithm=""maxima"")","\frac{9 \, {\left(\cos\left(2 \, a\right) \sin\left(3 \, a\right) - \cos\left(3 \, a\right) \sin\left(2 \, a\right)\right)} c^{\frac{5}{6} \, m + \frac{5}{6}} x^{\frac{5}{3}} x^{\frac{4}{3} \, m} + 18 \, {\left(\cos\left(3 \, a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(3 \, a\right)\right)} c^{\frac{1}{2} \, m + \frac{1}{2}} x x^{\frac{2}{3} \, m} - 2 \, {\left(c^{\frac{7}{6} \, m + 1} x^{2} x^{2 \, m} \sin\left(3 \, a\right) + 2 \, {\left({\left(\cos\left(3 \, a\right)^{2} \sin\left(3 \, a\right) + \sin\left(3 \, a\right)^{3}\right)} c^{\frac{1}{6} \, m} m + {\left(\cos\left(3 \, a\right)^{2} \sin\left(3 \, a\right) + \sin\left(3 \, a\right)^{3}\right)} c^{\frac{1}{6} \, m}\right)} \log\left(x\right)\right)} c^{\frac{1}{6}} x^{\frac{1}{3}}}{32 \, {\left({\left(\cos\left(3 \, a\right)^{2} + \sin\left(3 \, a\right)^{2}\right)} c^{\frac{2}{3} \, m} m + {\left(\cos\left(3 \, a\right)^{2} + \sin\left(3 \, a\right)^{2}\right)} c^{\frac{2}{3} \, m}\right)} c^{\frac{2}{3}} x^{\frac{1}{3}}}"," ",0,"1/32*(9*(cos(2*a)*sin(3*a) - cos(3*a)*sin(2*a))*c^(5/6*m + 5/6)*x^(5/3)*x^(4/3*m) + 18*(cos(3*a)*sin(4*a) - cos(4*a)*sin(3*a))*c^(1/2*m + 1/2)*x*x^(2/3*m) - 2*(c^(7/6*m + 1)*x^2*x^(2*m)*sin(3*a) + 2*((cos(3*a)^2*sin(3*a) + sin(3*a)^3)*c^(1/6*m)*m + (cos(3*a)^2*sin(3*a) + sin(3*a)^3)*c^(1/6*m))*log(x))*c^(1/6)*x^(1/3))/(((cos(3*a)^2 + sin(3*a)^2)*c^(2/3*m)*m + (cos(3*a)^2 + sin(3*a)^2)*c^(2/3*m))*c^(2/3)*x^(1/3))","A",0
52,1,75,0,0.359281," ","integrate(sin(a+1/6*I*log(c*x^2))^3,x, algorithm=""maxima"")","-\frac{9 \, c^{\frac{4}{3}} x^{\frac{4}{3}} {\left(-i \, \cos\left(a\right) - \sin\left(a\right)\right)} + 18 \, c x^{\frac{2}{3}} {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} + 2 \, {\left(c x^{2} {\left(i \, \cos\left(3 \, a\right) + \sin\left(3 \, a\right)\right)} + 2 \, {\left(-i \, \cos\left(3 \, a\right) + \sin\left(3 \, a\right)\right)} \log\left(x\right)\right)} c^{\frac{2}{3}}}{32 \, c^{\frac{7}{6}}}"," ",0,"-1/32*(9*c^(4/3)*x^(4/3)*(-I*cos(a) - sin(a)) + 18*c*x^(2/3)*(I*cos(a) - sin(a)) + 2*(c*x^2*(I*cos(3*a) + sin(3*a)) + 2*(-I*cos(3*a) + sin(3*a))*log(x))*c^(2/3))/c^(7/6)","A",0
53,0,0,0,0.000000," ","integrate(x*sin(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int x \sqrt{\sin\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate(x*sqrt(sin(b*log(c*x^n) + a)), x)","F",0
54,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sin\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(sin(b*log(c*x^n) + a)), x)","F",0
55,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\sin\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(sin(b*log(c*x^n) + a))/x, x)","F",0
56,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{\sin\left(b \log\left(c x^{n}\right) + a\right)}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(sin(b*log(c*x^n) + a))/x^2, x)","F",0
57,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{\sin\left(b \log\left(c x^{n}\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(sin(b*log(c*x^n) + a))/x^3, x)","F",0
58,0,0,0,0.000000," ","integrate(x*sin(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int x \sin\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x*sin(b*log(c*x^n) + a)^(3/2), x)","F",0
59,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \sin\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^(3/2), x)","F",0
60,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
61,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^(3/2)/x^2, x)","F",0
62,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^(3/2)/x^3, x)","F",0
63,0,0,0,0.000000," ","integrate(1/sin(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\sin\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(sin(b*log(c*x^n) + a)), x)","F",0
64,0,0,0,0.000000," ","integrate(1/x/sin(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x \sqrt{\sin\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(sin(b*log(c*x^n) + a))), x)","F",0
65,0,0,0,0.000000," ","integrate(1/sin(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\sin\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^(-3/2), x)","F",0
66,0,0,0,0.000000," ","integrate(1/x/sin(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x \sin\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*sin(b*log(c*x^n) + a)^(3/2)), x)","F",0
67,0,0,0,0.000000," ","integrate(1/sin(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\sin\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^(-5/2), x)","F",0
68,0,0,0,0.000000," ","integrate(1/x/sin(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x \sin\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*sin(b*log(c*x^n) + a)^(5/2)), x)","F",0
69,1,402,0,0.642563," ","integrate(1/sin(a-2*I*log(c*x))^(3/2),x, algorithm=""maxima"")","\frac{{\left({\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} c^{4} x^{4} + 2 \, c^{2} x^{2} \cos\left(a\right) + 1\right)}^{\frac{1}{4}} {\left({\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} c^{4} x^{4} - 2 \, c^{2} x^{2} \cos\left(a\right) + 1\right)}^{\frac{1}{4}} {\left({\left({\left(c^{4} x^{4} {\left(\left(i + 1\right) \, \cos\left(\frac{3}{2} \, a\right) + \left(i - 1\right) \, \sin\left(\frac{3}{2} \, a\right)\right)} - \left(i + 1\right) \, \cos\left(\frac{1}{2} \, a\right) + \left(i - 1\right) \, \sin\left(\frac{1}{2} \, a\right)\right)} \cos\left(\frac{3}{2} \, \arctan\left(c^{2} x^{2} \sin\left(a\right), -c^{2} x^{2} \cos\left(a\right) + 1\right)\right) + {\left(c^{4} x^{4} {\left(\left(i - 1\right) \, \cos\left(\frac{3}{2} \, a\right) - \left(i + 1\right) \, \sin\left(\frac{3}{2} \, a\right)\right)} - \left(i - 1\right) \, \cos\left(\frac{1}{2} \, a\right) - \left(i + 1\right) \, \sin\left(\frac{1}{2} \, a\right)\right)} \sin\left(\frac{3}{2} \, \arctan\left(c^{2} x^{2} \sin\left(a\right), -c^{2} x^{2} \cos\left(a\right) + 1\right)\right)\right)} \cos\left(\frac{3}{2} \, \arctan\left(c^{2} x^{2} \sin\left(a\right), c^{2} x^{2} \cos\left(a\right) + 1\right)\right) + {\left({\left(c^{4} x^{4} {\left(-\left(i - 1\right) \, \cos\left(\frac{3}{2} \, a\right) + \left(i + 1\right) \, \sin\left(\frac{3}{2} \, a\right)\right)} + \left(i - 1\right) \, \cos\left(\frac{1}{2} \, a\right) + \left(i + 1\right) \, \sin\left(\frac{1}{2} \, a\right)\right)} \cos\left(\frac{3}{2} \, \arctan\left(c^{2} x^{2} \sin\left(a\right), -c^{2} x^{2} \cos\left(a\right) + 1\right)\right) + {\left(c^{4} x^{4} {\left(\left(i + 1\right) \, \cos\left(\frac{3}{2} \, a\right) + \left(i - 1\right) \, \sin\left(\frac{3}{2} \, a\right)\right)} - \left(i + 1\right) \, \cos\left(\frac{1}{2} \, a\right) + \left(i - 1\right) \, \sin\left(\frac{1}{2} \, a\right)\right)} \sin\left(\frac{3}{2} \, \arctan\left(c^{2} x^{2} \sin\left(a\right), -c^{2} x^{2} \cos\left(a\right) + 1\right)\right)\right)} \sin\left(\frac{3}{2} \, \arctan\left(c^{2} x^{2} \sin\left(a\right), c^{2} x^{2} \cos\left(a\right) + 1\right)\right)\right)}}{{\left({\left(\cos\left(a\right)^{4} + 2 \, \cos\left(a\right)^{2} \sin\left(a\right)^{2} + \sin\left(a\right)^{4}\right)} c^{8} x^{8} - 2 \, {\left(\cos\left(a\right)^{2} - \sin\left(a\right)^{2}\right)} c^{4} x^{4} + 1\right)} c}"," ",0,"((cos(a)^2 + sin(a)^2)*c^4*x^4 + 2*c^2*x^2*cos(a) + 1)^(1/4)*((cos(a)^2 + sin(a)^2)*c^4*x^4 - 2*c^2*x^2*cos(a) + 1)^(1/4)*(((c^4*x^4*((I + 1)*cos(3/2*a) + (I - 1)*sin(3/2*a)) - (I + 1)*cos(1/2*a) + (I - 1)*sin(1/2*a))*cos(3/2*arctan2(c^2*x^2*sin(a), -c^2*x^2*cos(a) + 1)) + (c^4*x^4*((I - 1)*cos(3/2*a) - (I + 1)*sin(3/2*a)) - (I - 1)*cos(1/2*a) - (I + 1)*sin(1/2*a))*sin(3/2*arctan2(c^2*x^2*sin(a), -c^2*x^2*cos(a) + 1)))*cos(3/2*arctan2(c^2*x^2*sin(a), c^2*x^2*cos(a) + 1)) + ((c^4*x^4*(-(I - 1)*cos(3/2*a) + (I + 1)*sin(3/2*a)) + (I - 1)*cos(1/2*a) + (I + 1)*sin(1/2*a))*cos(3/2*arctan2(c^2*x^2*sin(a), -c^2*x^2*cos(a) + 1)) + (c^4*x^4*((I + 1)*cos(3/2*a) + (I - 1)*sin(3/2*a)) - (I + 1)*cos(1/2*a) + (I - 1)*sin(1/2*a))*sin(3/2*arctan2(c^2*x^2*sin(a), -c^2*x^2*cos(a) + 1)))*sin(3/2*arctan2(c^2*x^2*sin(a), c^2*x^2*cos(a) + 1)))/(((cos(a)^4 + 2*cos(a)^2*sin(a)^2 + sin(a)^4)*c^8*x^8 - 2*(cos(a)^2 - sin(a)^2)*c^4*x^4 + 1)*c)","B",0
70,-1,0,0,0.000000," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^4,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,-1,0,0,0.000000," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,1,2551,0,0.485722," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","-\frac{{\left({\left({\left({\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(4 \, b d \log\left(c\right)\right) + \cos\left(2 \, b d \log\left(c\right)\right) \cos\left(2 \, a d\right) - {\left({\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(4 \, b d \log\left(c\right)\right) - \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, a d\right)\right)} e^{m} m^{2} + 2 \, {\left({\left({\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(4 \, b d \log\left(c\right)\right) + \cos\left(2 \, b d \log\left(c\right)\right) \cos\left(2 \, a d\right) - {\left({\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(4 \, b d \log\left(c\right)\right) - \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, a d\right)\right)} e^{m} m + {\left({\left({\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(4 \, b d \log\left(c\right)\right) + \cos\left(2 \, b d \log\left(c\right)\right) \cos\left(2 \, a d\right) - {\left({\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(4 \, b d \log\left(c\right)\right) - \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, a d\right)\right)} e^{m} + 2 \, {\left({\left(b d \cos\left(2 \, a d\right) \sin\left(2 \, b d \log\left(c\right)\right) + b d \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, a d\right) + {\left({\left(b d \cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - b d \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(b d \cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + b d \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(4 \, b d \log\left(c\right)\right) + {\left({\left(b d \cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + b d \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(b d \cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - b d \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(4 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b d \cos\left(2 \, a d\right) \sin\left(2 \, b d \log\left(c\right)\right) + b d \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, a d\right) + {\left({\left(b d \cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - b d \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(b d \cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + b d \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(4 \, b d \log\left(c\right)\right) + {\left({\left(b d \cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + b d \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(b d \cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - b d \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(4 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n\right)} x x^{m} \cos\left(2 \, b d \log\left(x^{n}\right)\right) - {\left({\left({\left({\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(4 \, b d \log\left(c\right)\right) + {\left({\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(4 \, b d \log\left(c\right)\right) + \cos\left(2 \, a d\right) \sin\left(2 \, b d \log\left(c\right)\right) + \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, a d\right)\right)} e^{m} m^{2} + 2 \, {\left({\left({\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(4 \, b d \log\left(c\right)\right) + {\left({\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(4 \, b d \log\left(c\right)\right) + \cos\left(2 \, a d\right) \sin\left(2 \, b d \log\left(c\right)\right) + \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, a d\right)\right)} e^{m} m + {\left({\left({\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(4 \, b d \log\left(c\right)\right) + {\left({\left(\cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(\cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(4 \, b d \log\left(c\right)\right) + \cos\left(2 \, a d\right) \sin\left(2 \, b d \log\left(c\right)\right) + \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, a d\right)\right)} e^{m} - 2 \, {\left({\left(b d \cos\left(2 \, b d \log\left(c\right)\right) \cos\left(2 \, a d\right) - b d \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, a d\right) + {\left({\left(b d \cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + b d \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(b d \cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - b d \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(4 \, b d \log\left(c\right)\right) - {\left({\left(b d \cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - b d \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(b d \cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + b d \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(4 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b d \cos\left(2 \, b d \log\left(c\right)\right) \cos\left(2 \, a d\right) - b d \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, a d\right) + {\left({\left(b d \cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + b d \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(b d \cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - b d \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(4 \, b d \log\left(c\right)\right) - {\left({\left(b d \cos\left(2 \, a d\right) \sin\left(4 \, a d\right) - b d \cos\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(b d \cos\left(4 \, a d\right) \cos\left(2 \, a d\right) + b d \sin\left(4 \, a d\right) \sin\left(2 \, a d\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(4 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n\right)} x x^{m} \sin\left(2 \, b d \log\left(x^{n}\right)\right) - 2 \, {\left({\left({\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + {\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 4 \, {\left({\left(b^{2} d^{2} \cos\left(2 \, a d\right)^{2} + b^{2} d^{2} \sin\left(2 \, a d\right)^{2}\right)} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + {\left(b^{2} d^{2} \cos\left(2 \, a d\right)^{2} + b^{2} d^{2} \sin\left(2 \, a d\right)^{2}\right)} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{2} + 2 \, {\left({\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + {\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left({\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + {\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} x x^{m}}{4 \, {\left({\left({\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + {\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} m^{3} + 3 \, {\left({\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + {\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} m^{2} + 4 \, {\left({\left(b^{2} d^{2} \cos\left(2 \, a d\right)^{2} + b^{2} d^{2} \sin\left(2 \, a d\right)^{2}\right)} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + {\left(b^{2} d^{2} \cos\left(2 \, a d\right)^{2} + b^{2} d^{2} \sin\left(2 \, a d\right)^{2}\right)} \sin\left(2 \, b d \log\left(c\right)\right)^{2} + {\left({\left(b^{2} d^{2} \cos\left(2 \, a d\right)^{2} + b^{2} d^{2} \sin\left(2 \, a d\right)^{2}\right)} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + {\left(b^{2} d^{2} \cos\left(2 \, a d\right)^{2} + b^{2} d^{2} \sin\left(2 \, a d\right)^{2}\right)} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} m\right)} n^{2} + {\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + {\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \sin\left(2 \, b d \log\left(c\right)\right)^{2} + 3 \, {\left({\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + {\left(\cos\left(2 \, a d\right)^{2} + \sin\left(2 \, a d\right)^{2}\right)} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} m\right)}}"," ",0,"-1/4*(((((cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) + (cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*cos(4*b*d*log(c)) + cos(2*b*d*log(c))*cos(2*a*d) - ((cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) - (cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*sin(4*b*d*log(c)) - sin(2*b*d*log(c))*sin(2*a*d))*e^m*m^2 + 2*(((cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) + (cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*cos(4*b*d*log(c)) + cos(2*b*d*log(c))*cos(2*a*d) - ((cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) - (cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*sin(4*b*d*log(c)) - sin(2*b*d*log(c))*sin(2*a*d))*e^m*m + (((cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) + (cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*cos(4*b*d*log(c)) + cos(2*b*d*log(c))*cos(2*a*d) - ((cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) - (cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*sin(4*b*d*log(c)) - sin(2*b*d*log(c))*sin(2*a*d))*e^m + 2*((b*d*cos(2*a*d)*sin(2*b*d*log(c)) + b*d*cos(2*b*d*log(c))*sin(2*a*d) + ((b*d*cos(2*a*d)*sin(4*a*d) - b*d*cos(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) - (b*d*cos(4*a*d)*cos(2*a*d) + b*d*sin(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*cos(4*b*d*log(c)) + ((b*d*cos(4*a*d)*cos(2*a*d) + b*d*sin(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) + (b*d*cos(2*a*d)*sin(4*a*d) - b*d*cos(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*sin(4*b*d*log(c)))*e^m*m + (b*d*cos(2*a*d)*sin(2*b*d*log(c)) + b*d*cos(2*b*d*log(c))*sin(2*a*d) + ((b*d*cos(2*a*d)*sin(4*a*d) - b*d*cos(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) - (b*d*cos(4*a*d)*cos(2*a*d) + b*d*sin(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*cos(4*b*d*log(c)) + ((b*d*cos(4*a*d)*cos(2*a*d) + b*d*sin(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) + (b*d*cos(2*a*d)*sin(4*a*d) - b*d*cos(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*sin(4*b*d*log(c)))*e^m)*n)*x*x^m*cos(2*b*d*log(x^n)) - ((((cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) - (cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*cos(4*b*d*log(c)) + ((cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) + (cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*sin(4*b*d*log(c)) + cos(2*a*d)*sin(2*b*d*log(c)) + cos(2*b*d*log(c))*sin(2*a*d))*e^m*m^2 + 2*(((cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) - (cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*cos(4*b*d*log(c)) + ((cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) + (cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*sin(4*b*d*log(c)) + cos(2*a*d)*sin(2*b*d*log(c)) + cos(2*b*d*log(c))*sin(2*a*d))*e^m*m + (((cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) - (cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*cos(4*b*d*log(c)) + ((cos(4*a*d)*cos(2*a*d) + sin(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) + (cos(2*a*d)*sin(4*a*d) - cos(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*sin(4*b*d*log(c)) + cos(2*a*d)*sin(2*b*d*log(c)) + cos(2*b*d*log(c))*sin(2*a*d))*e^m - 2*((b*d*cos(2*b*d*log(c))*cos(2*a*d) - b*d*sin(2*b*d*log(c))*sin(2*a*d) + ((b*d*cos(4*a*d)*cos(2*a*d) + b*d*sin(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) + (b*d*cos(2*a*d)*sin(4*a*d) - b*d*cos(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*cos(4*b*d*log(c)) - ((b*d*cos(2*a*d)*sin(4*a*d) - b*d*cos(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) - (b*d*cos(4*a*d)*cos(2*a*d) + b*d*sin(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*sin(4*b*d*log(c)))*e^m*m + (b*d*cos(2*b*d*log(c))*cos(2*a*d) - b*d*sin(2*b*d*log(c))*sin(2*a*d) + ((b*d*cos(4*a*d)*cos(2*a*d) + b*d*sin(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) + (b*d*cos(2*a*d)*sin(4*a*d) - b*d*cos(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*cos(4*b*d*log(c)) - ((b*d*cos(2*a*d)*sin(4*a*d) - b*d*cos(4*a*d)*sin(2*a*d))*cos(2*b*d*log(c)) - (b*d*cos(4*a*d)*cos(2*a*d) + b*d*sin(4*a*d)*sin(2*a*d))*sin(2*b*d*log(c)))*sin(4*b*d*log(c)))*e^m)*n)*x*x^m*sin(2*b*d*log(x^n)) - 2*(((cos(2*a*d)^2 + sin(2*a*d)^2)*cos(2*b*d*log(c))^2 + (cos(2*a*d)^2 + sin(2*a*d)^2)*sin(2*b*d*log(c))^2)*e^m*m^2 + 4*((b^2*d^2*cos(2*a*d)^2 + b^2*d^2*sin(2*a*d)^2)*cos(2*b*d*log(c))^2 + (b^2*d^2*cos(2*a*d)^2 + b^2*d^2*sin(2*a*d)^2)*sin(2*b*d*log(c))^2)*e^m*n^2 + 2*((cos(2*a*d)^2 + sin(2*a*d)^2)*cos(2*b*d*log(c))^2 + (cos(2*a*d)^2 + sin(2*a*d)^2)*sin(2*b*d*log(c))^2)*e^m*m + ((cos(2*a*d)^2 + sin(2*a*d)^2)*cos(2*b*d*log(c))^2 + (cos(2*a*d)^2 + sin(2*a*d)^2)*sin(2*b*d*log(c))^2)*e^m)*x*x^m)/(((cos(2*a*d)^2 + sin(2*a*d)^2)*cos(2*b*d*log(c))^2 + (cos(2*a*d)^2 + sin(2*a*d)^2)*sin(2*b*d*log(c))^2)*m^3 + 3*((cos(2*a*d)^2 + sin(2*a*d)^2)*cos(2*b*d*log(c))^2 + (cos(2*a*d)^2 + sin(2*a*d)^2)*sin(2*b*d*log(c))^2)*m^2 + 4*((b^2*d^2*cos(2*a*d)^2 + b^2*d^2*sin(2*a*d)^2)*cos(2*b*d*log(c))^2 + (b^2*d^2*cos(2*a*d)^2 + b^2*d^2*sin(2*a*d)^2)*sin(2*b*d*log(c))^2 + ((b^2*d^2*cos(2*a*d)^2 + b^2*d^2*sin(2*a*d)^2)*cos(2*b*d*log(c))^2 + (b^2*d^2*cos(2*a*d)^2 + b^2*d^2*sin(2*a*d)^2)*sin(2*b*d*log(c))^2)*m)*n^2 + (cos(2*a*d)^2 + sin(2*a*d)^2)*cos(2*b*d*log(c))^2 + (cos(2*a*d)^2 + sin(2*a*d)^2)*sin(2*b*d*log(c))^2 + 3*((cos(2*a*d)^2 + sin(2*a*d)^2)*cos(2*b*d*log(c))^2 + (cos(2*a*d)^2 + sin(2*a*d)^2)*sin(2*b*d*log(c))^2)*m)","B",0
73,1,1263,0,0.400249," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\frac{{\left({\left({\left({\left(\cos\left(a d\right) \sin\left(2 \, a d\right) - \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) - {\left(\cos\left(2 \, a d\right) \cos\left(a d\right) + \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left({\left(\cos\left(2 \, a d\right) \cos\left(a d\right) + \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) + {\left(\cos\left(a d\right) \sin\left(2 \, a d\right) - \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right) + \cos\left(a d\right) \sin\left(b d \log\left(c\right)\right) + \cos\left(b d \log\left(c\right)\right) \sin\left(a d\right)\right)} e^{m} m - {\left(b d \cos\left(b d \log\left(c\right)\right) \cos\left(a d\right) - b d \sin\left(b d \log\left(c\right)\right) \sin\left(a d\right) + {\left({\left(b d \cos\left(2 \, a d\right) \cos\left(a d\right) + b d \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) + {\left(b d \cos\left(a d\right) \sin\left(2 \, a d\right) - b d \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) - {\left({\left(b d \cos\left(a d\right) \sin\left(2 \, a d\right) - b d \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) - {\left(b d \cos\left(2 \, a d\right) \cos\left(a d\right) + b d \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left({\left({\left(\cos\left(a d\right) \sin\left(2 \, a d\right) - \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) - {\left(\cos\left(2 \, a d\right) \cos\left(a d\right) + \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left({\left(\cos\left(2 \, a d\right) \cos\left(a d\right) + \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) + {\left(\cos\left(a d\right) \sin\left(2 \, a d\right) - \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right) + \cos\left(a d\right) \sin\left(b d \log\left(c\right)\right) + \cos\left(b d \log\left(c\right)\right) \sin\left(a d\right)\right)} e^{m}\right)} x x^{m} \cos\left(b d \log\left(x^{n}\right)\right) + {\left({\left({\left({\left(\cos\left(2 \, a d\right) \cos\left(a d\right) + \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) + {\left(\cos\left(a d\right) \sin\left(2 \, a d\right) - \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + \cos\left(b d \log\left(c\right)\right) \cos\left(a d\right) - {\left({\left(\cos\left(a d\right) \sin\left(2 \, a d\right) - \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) - {\left(\cos\left(2 \, a d\right) \cos\left(a d\right) + \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right) - \sin\left(b d \log\left(c\right)\right) \sin\left(a d\right)\right)} e^{m} m + {\left(b d \cos\left(a d\right) \sin\left(b d \log\left(c\right)\right) + b d \cos\left(b d \log\left(c\right)\right) \sin\left(a d\right) + {\left({\left(b d \cos\left(a d\right) \sin\left(2 \, a d\right) - b d \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) - {\left(b d \cos\left(2 \, a d\right) \cos\left(a d\right) + b d \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + {\left({\left(b d \cos\left(2 \, a d\right) \cos\left(a d\right) + b d \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) + {\left(b d \cos\left(a d\right) \sin\left(2 \, a d\right) - b d \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left({\left({\left(\cos\left(2 \, a d\right) \cos\left(a d\right) + \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) + {\left(\cos\left(a d\right) \sin\left(2 \, a d\right) - \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \cos\left(2 \, b d \log\left(c\right)\right) + \cos\left(b d \log\left(c\right)\right) \cos\left(a d\right) - {\left({\left(\cos\left(a d\right) \sin\left(2 \, a d\right) - \cos\left(2 \, a d\right) \sin\left(a d\right)\right)} \cos\left(b d \log\left(c\right)\right) - {\left(\cos\left(2 \, a d\right) \cos\left(a d\right) + \sin\left(2 \, a d\right) \sin\left(a d\right)\right)} \sin\left(b d \log\left(c\right)\right)\right)} \sin\left(2 \, b d \log\left(c\right)\right) - \sin\left(b d \log\left(c\right)\right) \sin\left(a d\right)\right)} e^{m}\right)} x x^{m} \sin\left(b d \log\left(x^{n}\right)\right)}{2 \, {\left({\left({\left(\cos\left(a d\right)^{2} + \sin\left(a d\right)^{2}\right)} \cos\left(b d \log\left(c\right)\right)^{2} + {\left(\cos\left(a d\right)^{2} + \sin\left(a d\right)^{2}\right)} \sin\left(b d \log\left(c\right)\right)^{2}\right)} m^{2} + {\left({\left(b^{2} d^{2} \cos\left(a d\right)^{2} + b^{2} d^{2} \sin\left(a d\right)^{2}\right)} \cos\left(b d \log\left(c\right)\right)^{2} + {\left(b^{2} d^{2} \cos\left(a d\right)^{2} + b^{2} d^{2} \sin\left(a d\right)^{2}\right)} \sin\left(b d \log\left(c\right)\right)^{2}\right)} n^{2} + {\left(\cos\left(a d\right)^{2} + \sin\left(a d\right)^{2}\right)} \cos\left(b d \log\left(c\right)\right)^{2} + {\left(\cos\left(a d\right)^{2} + \sin\left(a d\right)^{2}\right)} \sin\left(b d \log\left(c\right)\right)^{2} + 2 \, {\left({\left(\cos\left(a d\right)^{2} + \sin\left(a d\right)^{2}\right)} \cos\left(b d \log\left(c\right)\right)^{2} + {\left(\cos\left(a d\right)^{2} + \sin\left(a d\right)^{2}\right)} \sin\left(b d \log\left(c\right)\right)^{2}\right)} m\right)}}"," ",0,"1/2*(((((cos(a*d)*sin(2*a*d) - cos(2*a*d)*sin(a*d))*cos(b*d*log(c)) - (cos(2*a*d)*cos(a*d) + sin(2*a*d)*sin(a*d))*sin(b*d*log(c)))*cos(2*b*d*log(c)) + ((cos(2*a*d)*cos(a*d) + sin(2*a*d)*sin(a*d))*cos(b*d*log(c)) + (cos(a*d)*sin(2*a*d) - cos(2*a*d)*sin(a*d))*sin(b*d*log(c)))*sin(2*b*d*log(c)) + cos(a*d)*sin(b*d*log(c)) + cos(b*d*log(c))*sin(a*d))*e^m*m - (b*d*cos(b*d*log(c))*cos(a*d) - b*d*sin(b*d*log(c))*sin(a*d) + ((b*d*cos(2*a*d)*cos(a*d) + b*d*sin(2*a*d)*sin(a*d))*cos(b*d*log(c)) + (b*d*cos(a*d)*sin(2*a*d) - b*d*cos(2*a*d)*sin(a*d))*sin(b*d*log(c)))*cos(2*b*d*log(c)) - ((b*d*cos(a*d)*sin(2*a*d) - b*d*cos(2*a*d)*sin(a*d))*cos(b*d*log(c)) - (b*d*cos(2*a*d)*cos(a*d) + b*d*sin(2*a*d)*sin(a*d))*sin(b*d*log(c)))*sin(2*b*d*log(c)))*e^m*n + (((cos(a*d)*sin(2*a*d) - cos(2*a*d)*sin(a*d))*cos(b*d*log(c)) - (cos(2*a*d)*cos(a*d) + sin(2*a*d)*sin(a*d))*sin(b*d*log(c)))*cos(2*b*d*log(c)) + ((cos(2*a*d)*cos(a*d) + sin(2*a*d)*sin(a*d))*cos(b*d*log(c)) + (cos(a*d)*sin(2*a*d) - cos(2*a*d)*sin(a*d))*sin(b*d*log(c)))*sin(2*b*d*log(c)) + cos(a*d)*sin(b*d*log(c)) + cos(b*d*log(c))*sin(a*d))*e^m)*x*x^m*cos(b*d*log(x^n)) + ((((cos(2*a*d)*cos(a*d) + sin(2*a*d)*sin(a*d))*cos(b*d*log(c)) + (cos(a*d)*sin(2*a*d) - cos(2*a*d)*sin(a*d))*sin(b*d*log(c)))*cos(2*b*d*log(c)) + cos(b*d*log(c))*cos(a*d) - ((cos(a*d)*sin(2*a*d) - cos(2*a*d)*sin(a*d))*cos(b*d*log(c)) - (cos(2*a*d)*cos(a*d) + sin(2*a*d)*sin(a*d))*sin(b*d*log(c)))*sin(2*b*d*log(c)) - sin(b*d*log(c))*sin(a*d))*e^m*m + (b*d*cos(a*d)*sin(b*d*log(c)) + b*d*cos(b*d*log(c))*sin(a*d) + ((b*d*cos(a*d)*sin(2*a*d) - b*d*cos(2*a*d)*sin(a*d))*cos(b*d*log(c)) - (b*d*cos(2*a*d)*cos(a*d) + b*d*sin(2*a*d)*sin(a*d))*sin(b*d*log(c)))*cos(2*b*d*log(c)) + ((b*d*cos(2*a*d)*cos(a*d) + b*d*sin(2*a*d)*sin(a*d))*cos(b*d*log(c)) + (b*d*cos(a*d)*sin(2*a*d) - b*d*cos(2*a*d)*sin(a*d))*sin(b*d*log(c)))*sin(2*b*d*log(c)))*e^m*n + (((cos(2*a*d)*cos(a*d) + sin(2*a*d)*sin(a*d))*cos(b*d*log(c)) + (cos(a*d)*sin(2*a*d) - cos(2*a*d)*sin(a*d))*sin(b*d*log(c)))*cos(2*b*d*log(c)) + cos(b*d*log(c))*cos(a*d) - ((cos(a*d)*sin(2*a*d) - cos(2*a*d)*sin(a*d))*cos(b*d*log(c)) - (cos(2*a*d)*cos(a*d) + sin(2*a*d)*sin(a*d))*sin(b*d*log(c)))*sin(2*b*d*log(c)) - sin(b*d*log(c))*sin(a*d))*e^m)*x*x^m*sin(b*d*log(x^n)))/(((cos(a*d)^2 + sin(a*d)^2)*cos(b*d*log(c))^2 + (cos(a*d)^2 + sin(a*d)^2)*sin(b*d*log(c))^2)*m^2 + ((b^2*d^2*cos(a*d)^2 + b^2*d^2*sin(a*d)^2)*cos(b*d*log(c))^2 + (b^2*d^2*cos(a*d)^2 + b^2*d^2*sin(a*d)^2)*sin(b*d*log(c))^2)*n^2 + (cos(a*d)^2 + sin(a*d)^2)*cos(b*d*log(c))^2 + (cos(a*d)^2 + sin(a*d)^2)*sin(b*d*log(c))^2 + 2*((cos(a*d)^2 + sin(a*d)^2)*cos(b*d*log(c))^2 + (cos(a*d)^2 + sin(a*d)^2)*sin(b*d*log(c))^2)*m)","B",0
74,0,0,0,0.000000," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^(3/2),x, algorithm=""maxima"")","\int \left(e x\right)^{m} \sin\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((e*x)^m*sin((b*log(c*x^n) + a)*d)^(3/2), x)","F",0
75,0,0,0,0.000000," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^(1/2),x, algorithm=""maxima"")","\int \left(e x\right)^{m} \sqrt{\sin\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)}\,{d x}"," ",0,"integrate((e*x)^m*sqrt(sin((b*log(c*x^n) + a)*d)), x)","F",0
76,0,0,0,0.000000," ","integrate((e*x)^m/sin(d*(a+b*log(c*x^n)))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{\sqrt{\sin\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)}}\,{d x}"," ",0,"integrate((e*x)^m/sqrt(sin((b*log(c*x^n) + a)*d)), x)","F",0
77,0,0,0,0.000000," ","integrate((e*x)^m/sin(d*(a+b*log(c*x^n)))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{\sin\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x)^m/sin((b*log(c*x^n) + a)*d)^(3/2), x)","F",0
78,0,0,0,0.000000," ","integrate((e*x)^m/sin(d*(a+b*log(c*x^n)))^(5/2),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{m}}{\sin\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((e*x)^m/sin((b*log(c*x^n) + a)*d)^(5/2), x)","F",0
79,0,0,0,0.000000," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \sin\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*sin((b*log(c*x^n) + a)*d)^p, x)","F",0
80,0,0,0,0.000000," ","integrate(x^2*sin(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\int x^{2} \sin\left(b \log\left(c x^{n}\right) + a\right)^{p}\,{d x}"," ",0,"integrate(x^2*sin(b*log(c*x^n) + a)^p, x)","F",0
81,0,0,0,0.000000," ","integrate(x*sin(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\int x \sin\left(b \log\left(c x^{n}\right) + a\right)^{p}\,{d x}"," ",0,"integrate(x*sin(b*log(c*x^n) + a)^p, x)","F",0
82,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\int \sin\left(b \log\left(c x^{n}\right) + a\right)^{p}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^p, x)","F",0
83,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^p/x,x, algorithm=""maxima"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{p}}{x}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^p/x, x)","F",0
84,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^p/x^2,x, algorithm=""maxima"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{p}}{x^{2}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^p/x^2, x)","F",0
85,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^p/x^3,x, algorithm=""maxima"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{p}}{x^{3}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^p/x^3, x)","F",0
86,1,218,0,0.369491," ","integrate(x^2*cos(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{{\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \sin\left(b \log\left(c\right)\right)\right)} n + 3 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + 3 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + 3 \, \cos\left(b \log\left(c\right)\right)\right)} x^{3} \cos\left(b \log\left(x^{n}\right) + a\right) + {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \cos\left(b \log\left(c\right)\right)\right)} n - 3 \, \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + 3 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) - 3 \, \sin\left(b \log\left(c\right)\right)\right)} x^{3} \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, {\left({\left(b^{2} \cos\left(b \log\left(c\right)\right)^{2} + b^{2} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{2} + 9 \, \cos\left(b \log\left(c\right)\right)^{2} + 9 \, \sin\left(b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/2*(((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)) + b*sin(b*log(c)))*n + 3*cos(2*b*log(c))*cos(b*log(c)) + 3*sin(2*b*log(c))*sin(b*log(c)) + 3*cos(b*log(c)))*x^3*cos(b*log(x^n) + a) + ((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)) + b*cos(b*log(c)))*n - 3*cos(b*log(c))*sin(2*b*log(c)) + 3*cos(2*b*log(c))*sin(b*log(c)) - 3*sin(b*log(c)))*x^3*sin(b*log(x^n) + a))/((b^2*cos(b*log(c))^2 + b^2*sin(b*log(c))^2)*n^2 + 9*cos(b*log(c))^2 + 9*sin(b*log(c))^2)","B",0
87,1,218,0,0.364412," ","integrate(x*cos(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{{\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \sin\left(b \log\left(c\right)\right)\right)} n + 2 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + 2 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + 2 \, \cos\left(b \log\left(c\right)\right)\right)} x^{2} \cos\left(b \log\left(x^{n}\right) + a\right) + {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \cos\left(b \log\left(c\right)\right)\right)} n - 2 \, \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + 2 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) - 2 \, \sin\left(b \log\left(c\right)\right)\right)} x^{2} \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, {\left({\left(b^{2} \cos\left(b \log\left(c\right)\right)^{2} + b^{2} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{2} + 4 \, \cos\left(b \log\left(c\right)\right)^{2} + 4 \, \sin\left(b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/2*(((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)) + b*sin(b*log(c)))*n + 2*cos(2*b*log(c))*cos(b*log(c)) + 2*sin(2*b*log(c))*sin(b*log(c)) + 2*cos(b*log(c)))*x^2*cos(b*log(x^n) + a) + ((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)) + b*cos(b*log(c)))*n - 2*cos(b*log(c))*sin(2*b*log(c)) + 2*cos(2*b*log(c))*sin(b*log(c)) - 2*sin(b*log(c)))*x^2*sin(b*log(x^n) + a))/((b^2*cos(b*log(c))^2 + b^2*sin(b*log(c))^2)*n^2 + 4*cos(b*log(c))^2 + 4*sin(b*log(c))^2)","B",0
88,1,205,0,0.361660," ","integrate(cos(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{{\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) + {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \cos\left(b \log\left(c\right)\right)\right)} n - \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) - \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, {\left({\left(b^{2} \cos\left(b \log\left(c\right)\right)^{2} + b^{2} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(b \log\left(c\right)\right)^{2} + \sin\left(b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/2*(((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)) + b*sin(b*log(c)))*n + cos(2*b*log(c))*cos(b*log(c)) + sin(2*b*log(c))*sin(b*log(c)) + cos(b*log(c)))*x*cos(b*log(x^n) + a) + ((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)) + b*cos(b*log(c)))*n - cos(b*log(c))*sin(2*b*log(c)) + cos(2*b*log(c))*sin(b*log(c)) - sin(b*log(c)))*x*sin(b*log(x^n) + a))/((b^2*cos(b*log(c))^2 + b^2*sin(b*log(c))^2)*n^2 + cos(b*log(c))^2 + sin(b*log(c))^2)","B",0
89,1,18,0,0.322109," ","integrate(cos(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{\sin\left(b \log\left(c x^{n}\right) + a\right)}{b n}"," ",0,"sin(b*log(c*x^n) + a)/(b*n)","A",0
90,1,208,0,0.366407," ","integrate(cos(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","\frac{{\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) - \cos\left(b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) + {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \cos\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + \sin\left(b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, {\left({\left(b^{2} \cos\left(b \log\left(c\right)\right)^{2} + b^{2} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(b \log\left(c\right)\right)^{2} + \sin\left(b \log\left(c\right)\right)^{2}\right)} x}"," ",0,"1/2*(((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)) + b*sin(b*log(c)))*n - cos(2*b*log(c))*cos(b*log(c)) - sin(2*b*log(c))*sin(b*log(c)) - cos(b*log(c)))*cos(b*log(x^n) + a) + ((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)) + b*cos(b*log(c)))*n + cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)) + sin(b*log(c)))*sin(b*log(x^n) + a))/(((b^2*cos(b*log(c))^2 + b^2*sin(b*log(c))^2)*n^2 + cos(b*log(c))^2 + sin(b*log(c))^2)*x)","B",0
91,1,301,0,0.376781," ","integrate(x^2*cos(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{3 \, {\left(2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 3 \, \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 3 \, \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + 3 \, \cos\left(2 \, b \log\left(c\right)\right)\right)} x^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right)\right)} n - 3 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + 3 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - 3 \, \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 9 \, \cos\left(2 \, b \log\left(c\right)\right)^{2} + 9 \, \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} x^{3}}{12 \, {\left(4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 9 \, \cos\left(2 \, b \log\left(c\right)\right)^{2} + 9 \, \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/12*(3*(2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + b*sin(2*b*log(c)))*n + 3*cos(4*b*log(c))*cos(2*b*log(c)) + 3*sin(4*b*log(c))*sin(2*b*log(c)) + 3*cos(2*b*log(c)))*x^3*cos(2*b*log(x^n) + 2*a) + 3*(2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + b*cos(2*b*log(c)))*n - 3*cos(2*b*log(c))*sin(4*b*log(c)) + 3*cos(4*b*log(c))*sin(2*b*log(c)) - 3*sin(2*b*log(c)))*x^3*sin(2*b*log(x^n) + 2*a) + 2*(4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + 9*cos(2*b*log(c))^2 + 9*sin(2*b*log(c))^2)*x^3)/(4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + 9*cos(2*b*log(c))^2 + 9*sin(2*b*log(c))^2)","B",0
92,1,282,0,0.370405," ","integrate(x*cos(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{{\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left({\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} x^{2}}{8 \, {\left({\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/8*(((b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + b*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)) + cos(2*b*log(c)))*x^2*cos(2*b*log(x^n) + 2*a) + ((b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + b*cos(2*b*log(c)))*n - cos(2*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(2*b*log(c)) - sin(2*b*log(c)))*x^2*sin(2*b*log(x^n) + 2*a) + 2*((b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*x^2)/((b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)","B",0
93,1,280,0,0.367245," ","integrate(cos(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{{\left(2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} x}{4 \, {\left(4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/4*((2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + b*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)) + cos(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + (2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + b*cos(2*b*log(c)))*n - cos(2*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(2*b*log(c)) - sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) + 2*(4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*x)/(4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)","B",0
94,1,53,0,0.352571," ","integrate(cos(a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","\frac{2 \, b n \log\left(x\right) + \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{4 \, b n}"," ",0,"1/4*(2*b*n*log(x) + cos(2*b*log(x^n) + 2*a)*sin(2*b*log(c)) + cos(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/(b*n)","A",0
95,1,285,0,0.367865," ","integrate(cos(a+b*log(c*x^n))^2/x^2,x, algorithm=""maxima"")","-\frac{8 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 2 \, \cos\left(2 \, b \log\left(c\right)\right)^{2} - {\left(2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, \sin\left(2 \, b \log\left(c\right)\right)^{2} - {\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{4 \, {\left(4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} x}"," ",0,"-1/4*(8*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + 2*cos(2*b*log(c))^2 - (2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + b*sin(2*b*log(c)))*n - cos(4*b*log(c))*cos(2*b*log(c)) - sin(4*b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*sin(2*b*log(c))^2 - (2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + b*cos(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)) + sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))/((4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*x)","B",0
96,1,1007,0,0.410088," ","integrate(x^2*cos(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{{\left({\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{3} + {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 9 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right)\right)} n + 9 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + 9 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 9 \, \cos\left(3 \, b \log\left(c\right)\right)\right)} x^{3} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 9 \, {\left({\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 3 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 3 \, \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + 3 \, \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 3 \, \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 3 \, \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{3} \cos\left(b \log\left(x^{n}\right) + a\right) + {\left({\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{3} - {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 9 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right)\right)} n - 9 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 9 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - 9 \, \sin\left(3 \, b \log\left(c\right)\right)\right)} x^{3} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 9 \, {\left({\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 3 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - 3 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + 3 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - 3 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 3 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{3} \sin\left(b \log\left(x^{n}\right) + a\right)}{24 \, {\left({\left(b^{4} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 10 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 9 \, \cos\left(3 \, b \log\left(c\right)\right)^{2} + 9 \, \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/24*(((b^3*cos(3*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c)))*n^3 + (b^2*cos(6*b*log(c))*cos(3*b*log(c)) + b^2*sin(6*b*log(c))*sin(3*b*log(c)) + b^2*cos(3*b*log(c)))*n^2 + 9*(b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c)))*n + 9*cos(6*b*log(c))*cos(3*b*log(c)) + 9*sin(6*b*log(c))*sin(3*b*log(c)) + 9*cos(3*b*log(c)))*x^3*cos(3*b*log(x^n) + 3*a) + 9*((b^3*cos(3*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(3*b*log(c)) + b^3*cos(2*b*log(c))*sin(3*b*log(c)) - b^3*cos(3*b*log(c))*sin(2*b*log(c)))*n^3 + 3*(b^2*cos(4*b*log(c))*cos(3*b*log(c)) + b^2*cos(3*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n + 3*cos(4*b*log(c))*cos(3*b*log(c)) + 3*cos(3*b*log(c))*cos(2*b*log(c)) + 3*sin(4*b*log(c))*sin(3*b*log(c)) + 3*sin(3*b*log(c))*sin(2*b*log(c)))*x^3*cos(b*log(x^n) + a) + ((b^3*cos(6*b*log(c))*cos(3*b*log(c)) + b^3*sin(6*b*log(c))*sin(3*b*log(c)) + b^3*cos(3*b*log(c)))*n^3 - (b^2*cos(3*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c)))*n^2 + 9*(b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + b*cos(3*b*log(c)))*n - 9*cos(3*b*log(c))*sin(6*b*log(c)) + 9*cos(6*b*log(c))*sin(3*b*log(c)) - 9*sin(3*b*log(c)))*x^3*sin(3*b*log(x^n) + 3*a) + 9*((b^3*cos(4*b*log(c))*cos(3*b*log(c)) + b^3*cos(3*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c))*sin(2*b*log(c)))*n^3 - 3*(b^2*cos(3*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(3*b*log(c)) + b^2*cos(2*b*log(c))*sin(3*b*log(c)) - b^2*cos(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n - 3*cos(3*b*log(c))*sin(4*b*log(c)) + 3*cos(4*b*log(c))*sin(3*b*log(c)) - 3*cos(2*b*log(c))*sin(3*b*log(c)) + 3*cos(3*b*log(c))*sin(2*b*log(c)))*x^3*sin(b*log(x^n) + a))/((b^4*cos(3*b*log(c))^2 + b^4*sin(3*b*log(c))^2)*n^4 + 10*(b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2)*n^2 + 9*cos(3*b*log(c))^2 + 9*sin(3*b*log(c))^2)","B",0
97,1,1015,0,0.418235," ","integrate(x*cos(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{3} + 2 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 12 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right)\right)} n + 8 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + 8 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 8 \, \cos\left(3 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 3 \, {\left(9 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 18 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 8 \, \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + 8 \, \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 8 \, \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 8 \, \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(b \log\left(x^{n}\right) + a\right) + {\left(3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{3} - 2 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 12 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right)\right)} n - 8 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 8 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - 8 \, \sin\left(3 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 3 \, {\left(9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 18 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - 8 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + 8 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - 8 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 8 \, \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(b \log\left(x^{n}\right) + a\right)}{8 \, {\left(9 \, {\left(b^{4} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 40 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 16 \, \cos\left(3 \, b \log\left(c\right)\right)^{2} + 16 \, \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/8*((3*(b^3*cos(3*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c)))*n^3 + 2*(b^2*cos(6*b*log(c))*cos(3*b*log(c)) + b^2*sin(6*b*log(c))*sin(3*b*log(c)) + b^2*cos(3*b*log(c)))*n^2 + 12*(b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c)))*n + 8*cos(6*b*log(c))*cos(3*b*log(c)) + 8*sin(6*b*log(c))*sin(3*b*log(c)) + 8*cos(3*b*log(c)))*x^2*cos(3*b*log(x^n) + 3*a) + 3*(9*(b^3*cos(3*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(3*b*log(c)) + b^3*cos(2*b*log(c))*sin(3*b*log(c)) - b^3*cos(3*b*log(c))*sin(2*b*log(c)))*n^3 + 18*(b^2*cos(4*b*log(c))*cos(3*b*log(c)) + b^2*cos(3*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n + 8*cos(4*b*log(c))*cos(3*b*log(c)) + 8*cos(3*b*log(c))*cos(2*b*log(c)) + 8*sin(4*b*log(c))*sin(3*b*log(c)) + 8*sin(3*b*log(c))*sin(2*b*log(c)))*x^2*cos(b*log(x^n) + a) + (3*(b^3*cos(6*b*log(c))*cos(3*b*log(c)) + b^3*sin(6*b*log(c))*sin(3*b*log(c)) + b^3*cos(3*b*log(c)))*n^3 - 2*(b^2*cos(3*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c)))*n^2 + 12*(b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + b*cos(3*b*log(c)))*n - 8*cos(3*b*log(c))*sin(6*b*log(c)) + 8*cos(6*b*log(c))*sin(3*b*log(c)) - 8*sin(3*b*log(c)))*x^2*sin(3*b*log(x^n) + 3*a) + 3*(9*(b^3*cos(4*b*log(c))*cos(3*b*log(c)) + b^3*cos(3*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c))*sin(2*b*log(c)))*n^3 - 18*(b^2*cos(3*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(3*b*log(c)) + b^2*cos(2*b*log(c))*sin(3*b*log(c)) - b^2*cos(3*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n - 8*cos(3*b*log(c))*sin(4*b*log(c)) + 8*cos(4*b*log(c))*sin(3*b*log(c)) - 8*cos(2*b*log(c))*sin(3*b*log(c)) + 8*cos(3*b*log(c))*sin(2*b*log(c)))*x^2*sin(b*log(x^n) + a))/(9*(b^4*cos(3*b*log(c))^2 + b^4*sin(3*b*log(c))^2)*n^4 + 40*(b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2)*n^2 + 16*cos(3*b*log(c))^2 + 16*sin(3*b*log(c))^2)","B",0
98,1,989,0,0.411541," ","integrate(cos(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{3} + {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 3 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right)\right)} x \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 3 \, {\left(9 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 9 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) + {\left(3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{3} - {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \sin\left(3 \, b \log\left(c\right)\right)\right)} x \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 3 \, {\left(9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 9 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)}{8 \, {\left(9 \, {\left(b^{4} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 10 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(3 \, b \log\left(c\right)\right)^{2} + \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/8*((3*(b^3*cos(3*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c)))*n^3 + (b^2*cos(6*b*log(c))*cos(3*b*log(c)) + b^2*sin(6*b*log(c))*sin(3*b*log(c)) + b^2*cos(3*b*log(c)))*n^2 + 3*(b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c)))*n + cos(6*b*log(c))*cos(3*b*log(c)) + sin(6*b*log(c))*sin(3*b*log(c)) + cos(3*b*log(c)))*x*cos(3*b*log(x^n) + 3*a) + 3*(9*(b^3*cos(3*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(3*b*log(c)) + b^3*cos(2*b*log(c))*sin(3*b*log(c)) - b^3*cos(3*b*log(c))*sin(2*b*log(c)))*n^3 + 9*(b^2*cos(4*b*log(c))*cos(3*b*log(c)) + b^2*cos(3*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(3*b*log(c)) + cos(3*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c))*sin(2*b*log(c)))*x*cos(b*log(x^n) + a) + (3*(b^3*cos(6*b*log(c))*cos(3*b*log(c)) + b^3*sin(6*b*log(c))*sin(3*b*log(c)) + b^3*cos(3*b*log(c)))*n^3 - (b^2*cos(3*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c)))*n^2 + 3*(b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + b*cos(3*b*log(c)))*n - cos(3*b*log(c))*sin(6*b*log(c)) + cos(6*b*log(c))*sin(3*b*log(c)) - sin(3*b*log(c)))*x*sin(3*b*log(x^n) + 3*a) + 3*(9*(b^3*cos(4*b*log(c))*cos(3*b*log(c)) + b^3*cos(3*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c))*sin(2*b*log(c)))*n^3 - 9*(b^2*cos(3*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(3*b*log(c)) + b^2*cos(2*b*log(c))*sin(3*b*log(c)) - b^2*cos(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n - cos(3*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(3*b*log(c)) - cos(2*b*log(c))*sin(3*b*log(c)) + cos(3*b*log(c))*sin(2*b*log(c)))*x*sin(b*log(x^n) + a))/(9*(b^4*cos(3*b*log(c))^2 + b^4*sin(3*b*log(c))^2)*n^4 + 10*(b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2)*n^2 + cos(3*b*log(c))^2 + sin(3*b*log(c))^2)","B",0
99,1,232,0,0.368323," ","integrate(cos(a+b*log(c*x^n))^3/x,x, algorithm=""maxima"")","\frac{{\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right)\right)} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 9 \, {\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) + {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right)\right)} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 9 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)}{24 \, b n}"," ",0,"1/24*((cos(3*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c)))*cos(3*b*log(x^n) + 3*a) + 9*(cos(3*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(3*b*log(c)) + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*cos(b*log(x^n) + a) + (cos(6*b*log(c))*cos(3*b*log(c)) + sin(6*b*log(c))*sin(3*b*log(c)) + cos(3*b*log(c)))*sin(3*b*log(x^n) + 3*a) + 9*(cos(4*b*log(c))*cos(3*b*log(c)) + cos(3*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c))*sin(2*b*log(c)))*sin(b*log(x^n) + a))/(b*n)","B",0
100,1,994,0,0.415855," ","integrate(cos(a+b*log(c*x^n))^3/x^2,x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{3} - {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 3 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right)\right)} n - \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) - \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right)\right)} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 3 \, {\left(9 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 9 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) + {\left(3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{3} + {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{2} + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right)\right)} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 3 \, {\left(9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 9 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)}{8 \, {\left(9 \, {\left(b^{4} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 10 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(3 \, b \log\left(c\right)\right)^{2} + \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} x}"," ",0,"1/8*((3*(b^3*cos(3*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c)))*n^3 - (b^2*cos(6*b*log(c))*cos(3*b*log(c)) + b^2*sin(6*b*log(c))*sin(3*b*log(c)) + b^2*cos(3*b*log(c)))*n^2 + 3*(b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c)))*n - cos(6*b*log(c))*cos(3*b*log(c)) - sin(6*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c)))*cos(3*b*log(x^n) + 3*a) + 3*(9*(b^3*cos(3*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(3*b*log(c)) + b^3*cos(2*b*log(c))*sin(3*b*log(c)) - b^3*cos(3*b*log(c))*sin(2*b*log(c)))*n^3 - 9*(b^2*cos(4*b*log(c))*cos(3*b*log(c)) + b^2*cos(3*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n - cos(4*b*log(c))*cos(3*b*log(c)) - cos(3*b*log(c))*cos(2*b*log(c)) - sin(4*b*log(c))*sin(3*b*log(c)) - sin(3*b*log(c))*sin(2*b*log(c)))*cos(b*log(x^n) + a) + (3*(b^3*cos(6*b*log(c))*cos(3*b*log(c)) + b^3*sin(6*b*log(c))*sin(3*b*log(c)) + b^3*cos(3*b*log(c)))*n^3 + (b^2*cos(3*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c)))*n^2 + 3*(b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + b*cos(3*b*log(c)))*n + cos(3*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c)))*sin(3*b*log(x^n) + 3*a) + 3*(9*(b^3*cos(4*b*log(c))*cos(3*b*log(c)) + b^3*cos(3*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c))*sin(2*b*log(c)))*n^3 + 9*(b^2*cos(3*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(3*b*log(c)) + b^2*cos(2*b*log(c))*sin(3*b*log(c)) - b^2*cos(3*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n + cos(3*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(3*b*log(c)) + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*sin(b*log(x^n) + a))/((9*(b^4*cos(3*b*log(c))^2 + b^4*sin(3*b*log(c))^2)*n^4 + 10*(b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2)*n^2 + cos(3*b*log(c))^2 + sin(3*b*log(c))^2)*x)","B",0
101,1,1078,0,0.409071," ","integrate(cos(a+b*log(c*x^n))^4,x, algorithm=""maxima"")","\frac{{\left(16 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{3} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} + 4 \, {\left(b^{2} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(32 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 16 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(16 \, {\left(b^{3} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right)\right)} n^{3} - 4 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{2} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) + \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(32 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} - 16 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 6 \, {\left(64 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 20 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} x}{16 \, {\left(64 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 20 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + \cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/16*((16*(b^3*cos(4*b*log(c))*sin(8*b*log(c)) - b^3*cos(8*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c)))*n^3 + 4*(b^2*cos(8*b*log(c))*cos(4*b*log(c)) + b^2*sin(8*b*log(c))*sin(4*b*log(c)) + b^2*cos(4*b*log(c)))*n^2 + 4*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c)))*n + cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c)))*x*cos(4*b*log(x^n) + 4*a) + 4*(32*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)) + b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3 + 16*(b^2*cos(6*b*log(c))*cos(4*b*log(c)) + b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + 2*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)) + b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(6*b*log(c))*cos(4*b*log(c)) + cos(4*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + (16*(b^3*cos(8*b*log(c))*cos(4*b*log(c)) + b^3*sin(8*b*log(c))*sin(4*b*log(c)) + b^3*cos(4*b*log(c)))*n^3 - 4*(b^2*cos(4*b*log(c))*sin(8*b*log(c)) - b^2*cos(8*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c)))*n^2 + 4*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)) + b*cos(4*b*log(c)))*n - cos(4*b*log(c))*sin(8*b*log(c)) + cos(8*b*log(c))*sin(4*b*log(c)) - sin(4*b*log(c)))*x*sin(4*b*log(x^n) + 4*a) + 4*(32*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3 - 16*(b^2*cos(4*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(4*b*log(c)) + b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 + 2*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n - cos(4*b*log(c))*sin(6*b*log(c)) + cos(6*b*log(c))*sin(4*b*log(c)) - cos(2*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) + 6*(64*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 20*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*x)/(64*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 20*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2 + cos(4*b*log(c))^2 + sin(4*b*log(c))^2)","B",0
102,1,93,0,0.371336," ","integrate(cos(a+b*log(c*x^n))^4/x,x, algorithm=""maxima"")","\frac{12 \, b n \log\left(x\right) + \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) \sin\left(4 \, b \log\left(c\right)\right) + 8 \, \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 8 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{32 \, b n}"," ",0,"1/32*(12*b*n*log(x) + cos(4*b*log(x^n) + 4*a)*sin(4*b*log(c)) + 8*cos(2*b*log(x^n) + 2*a)*sin(2*b*log(c)) + cos(4*b*log(c))*sin(4*b*log(x^n) + 4*a) + 8*cos(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/(b*n)","A",0
103,1,20,0,0.342998," ","integrate(cos(log(6+3*x)),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(x + 2\right)} {\left(\cos\left(\log\left(3 \, x + 6\right)\right) + \sin\left(\log\left(3 \, x + 6\right)\right)\right)}"," ",0,"1/2*(x + 2)*(cos(log(3*x + 6)) + sin(log(3*x + 6)))","A",0
104,1,82,0,0.412262," ","integrate(x^m*cos(a+log(c*x^n)*(-(1+m)^2/n^2)^(1/2)),x, algorithm=""maxima"")","\frac{c^{\frac{2 \, m}{n} + \frac{2}{n}} x \cos\left(a\right) e^{\left(m \log\left(x\right) + \frac{m \log\left(x^{n}\right)}{n} + \frac{\log\left(x^{n}\right)}{n}\right)} + 2 \, {\left(m \cos\left(a\right) + \cos\left(a\right)\right)} \log\left(x\right)}{4 \, {\left(c^{\frac{m}{n} + \frac{1}{n}} m + c^{\frac{m}{n} + \frac{1}{n}}\right)}}"," ",0,"1/4*(c^(2*m/n + 2/n)*x*cos(a)*e^(m*log(x) + m*log(x^n)/n + log(x^n)/n) + 2*(m*cos(a) + cos(a))*log(x))/(c^(m/n + 1/n)*m + c^(m/n + 1/n))","A",0
105,1,29,0,0.377728," ","integrate(cos(a+log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""maxima"")","\frac{c^{\frac{2}{n}} x^{2} \cos\left(a\right) + 2 \, \cos\left(a\right) \log\left(x\right)}{4 \, c^{\left(\frac{1}{n}\right)}}"," ",0,"1/4*(c^(2/n)*x^2*cos(a) + 2*cos(a)*log(x))/c^(1/n)","A",0
106,1,172,0,0.433415," ","integrate(x^m*cos(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^2,x, algorithm=""maxima"")","\frac{4 \, {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} c^{\frac{m}{n} + \frac{1}{n}} x x^{m} + c^{\frac{2 \, m}{n} + \frac{2}{n}} x \cos\left(2 \, a\right) e^{\left(m \log\left(x\right) + \frac{m \log\left(x^{n}\right)}{n} + \frac{\log\left(x^{n}\right)}{n}\right)} + 2 \, {\left(\cos\left(2 \, a\right)^{3} + \cos\left(2 \, a\right) \sin\left(2 \, a\right)^{2} + {\left(\cos\left(2 \, a\right)^{3} + \cos\left(2 \, a\right) \sin\left(2 \, a\right)^{2}\right)} m\right)} \log\left(x\right)}{8 \, {\left({\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} c^{\frac{m}{n} + \frac{1}{n}} m + {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} c^{\frac{m}{n} + \frac{1}{n}}\right)}}"," ",0,"1/8*(4*(cos(2*a)^2 + sin(2*a)^2)*c^(m/n + 1/n)*x*x^m + c^(2*m/n + 2/n)*x*cos(2*a)*e^(m*log(x) + m*log(x^n)/n + log(x^n)/n) + 2*(cos(2*a)^3 + cos(2*a)*sin(2*a)^2 + (cos(2*a)^3 + cos(2*a)*sin(2*a)^2)*m)*log(x))/((cos(2*a)^2 + sin(2*a)^2)*c^(m/n + 1/n)*m + (cos(2*a)^2 + sin(2*a)^2)*c^(m/n + 1/n))","A",0
107,1,41,0,0.382665," ","integrate(cos(a+1/2*log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""maxima"")","\frac{c^{\frac{2}{n}} x^{2} \cos\left(2 \, a\right) + 4 \, c^{\left(\frac{1}{n}\right)} x + 2 \, \cos\left(2 \, a\right) \log\left(x\right)}{8 \, c^{\left(\frac{1}{n}\right)}}"," ",0,"1/8*(c^(2/n)*x^2*cos(2*a) + 4*c^(1/n)*x + 2*cos(2*a)*log(x))/c^(1/n)","A",0
108,1,195,0,0.447251," ","integrate(x^m*cos(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^3,x, algorithm=""maxima"")","\frac{{\left(c^{\frac{3 \, m}{n} + \frac{3}{n}} x \cos\left(3 \, a\right) e^{\left(m \log\left(x\right) + \frac{3 \, m \log\left(x^{n}\right)}{n} + \frac{3 \, \log\left(x^{n}\right)}{n}\right)} + 5 \, c^{\frac{2 \, m}{n} + \frac{2}{n}} x \cos\left(a\right) e^{\left(m \log\left(x\right) + \frac{2 \, m \log\left(x^{n}\right)}{n} + \frac{2 \, \log\left(x^{n}\right)}{n}\right)} + 15 \, c^{\frac{m}{n} + \frac{1}{n}} x \cos\left(a\right) e^{\left(m \log\left(x\right) + \frac{m \log\left(x^{n}\right)}{n} + \frac{\log\left(x^{n}\right)}{n}\right)} - 5 \, x x^{m} \cos\left(3 \, a\right)\right)} e^{\left(-\frac{3 \, m \log\left(x^{n}\right)}{2 \, n} - \frac{3 \, \log\left(x^{n}\right)}{2 \, n}\right)}}{20 \, {\left(c^{\frac{3 \, m}{2 \, n} + \frac{3}{2 \, n}} m + c^{\frac{3 \, m}{2 \, n} + \frac{3}{2 \, n}}\right)}}"," ",0,"1/20*(c^(3*m/n + 3/n)*x*cos(3*a)*e^(m*log(x) + 3*m*log(x^n)/n + 3*log(x^n)/n) + 5*c^(2*m/n + 2/n)*x*cos(a)*e^(m*log(x) + 2*m*log(x^n)/n + 2*log(x^n)/n) + 15*c^(m/n + 1/n)*x*cos(a)*e^(m*log(x) + m*log(x^n)/n + log(x^n)/n) - 5*x*x^m*cos(3*a))*e^(-3/2*m*log(x^n)/n - 3/2*log(x^n)/n)/(c^(3/2*m/n + 3/2/n)*m + c^(3/2*m/n + 3/2/n))","A",0
109,1,106,0,0.397251," ","integrate(cos(a+1/3*log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""maxima"")","\frac{9 \, c^{\frac{5}{3 \, n}} x {\left(x^{n}\right)}^{\frac{2}{3 \, n}} \cos\left(a\right) + 4 \, c^{\frac{1}{3 \, n}} {\left(x^{n}\right)}^{\frac{1}{3 \, n}} \cos\left(3 \, a\right) \log\left(x\right) + 18 \, c^{\left(\frac{1}{n}\right)} x \cos\left(a\right) + 2 \, c^{\frac{7}{3 \, n}} \cos\left(3 \, a\right) e^{\left(\frac{\log\left(x^{n}\right)}{3 \, n} + 2 \, \log\left(x\right)\right)}}{32 \, c^{\frac{4}{3 \, n}} {\left(x^{n}\right)}^{\frac{1}{3 \, n}}}"," ",0,"1/32*(9*c^(5/3/n)*x*(x^n)^(2/3/n)*cos(a) + 4*c^(1/3/n)*(x^n)^(1/3/n)*cos(3*a)*log(x) + 18*c^(1/n)*x*cos(a) + 2*c^(7/3/n)*cos(3*a)*e^(1/3*log(x^n)/n + 2*log(x)))/(c^(4/3/n)*(x^n)^(1/3/n))","A",0
110,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\cos\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(cos(b*log(c*x^n) + a)), x)","F",0
111,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\cos\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(cos(b*log(c*x^n) + a))/x, x)","F",0
112,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^(3/2), x)","F",0
113,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
114,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^(5/2), x)","F",0
115,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""maxima"")","\int \frac{\cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
116,0,0,0,0.000000," ","integrate(1/cos(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\cos\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(cos(b*log(c*x^n) + a)), x)","F",0
117,0,0,0,0.000000," ","integrate(1/x/cos(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x \sqrt{\cos\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(cos(b*log(c*x^n) + a))), x)","F",0
118,0,0,0,0.000000," ","integrate(1/cos(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^(-3/2), x)","F",0
119,0,0,0,0.000000," ","integrate(1/x/cos(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x \cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*cos(b*log(c*x^n) + a)^(3/2)), x)","F",0
120,0,0,0,0.000000," ","integrate(1/cos(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^(-5/2), x)","F",0
121,0,0,0,0.000000," ","integrate(1/x/cos(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x \cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*cos(b*log(c*x^n) + a)^(5/2)), x)","F",0
122,1,187,0,0.466941," ","integrate(1/cos(a-2*I*log(c*x))^(3/2),x, algorithm=""maxima"")","-\frac{{\left({\left(\sqrt{2} \cos\left(\frac{3}{2} \, a\right) + i \, \sqrt{2} \sin\left(\frac{3}{2} \, a\right)\right)} c^{4} x^{4} + \sqrt{2} \cos\left(\frac{1}{2} \, a\right) - i \, \sqrt{2} \sin\left(\frac{1}{2} \, a\right)\right)} \cos\left(\frac{3}{2} \, \arctan\left(c^{4} x^{4} \sin\left(2 \, a\right), c^{4} x^{4} \cos\left(2 \, a\right) + 1\right)\right) + {\left({\left(-i \, \sqrt{2} \cos\left(\frac{3}{2} \, a\right) + \sqrt{2} \sin\left(\frac{3}{2} \, a\right)\right)} c^{4} x^{4} - i \, \sqrt{2} \cos\left(\frac{1}{2} \, a\right) - \sqrt{2} \sin\left(\frac{1}{2} \, a\right)\right)} \sin\left(\frac{3}{2} \, \arctan\left(c^{4} x^{4} \sin\left(2 \, a\right), c^{4} x^{4} \cos\left(2 \, a\right) + 1\right)\right)}{{\left({\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} c^{8} x^{8} + 2 \, c^{4} x^{4} \cos\left(2 \, a\right) + 1\right)}^{\frac{3}{4}} c}"," ",0,"-(((sqrt(2)*cos(3/2*a) + I*sqrt(2)*sin(3/2*a))*c^4*x^4 + sqrt(2)*cos(1/2*a) - I*sqrt(2)*sin(1/2*a))*cos(3/2*arctan2(c^4*x^4*sin(2*a), c^4*x^4*cos(2*a) + 1)) + ((-I*sqrt(2)*cos(3/2*a) + sqrt(2)*sin(3/2*a))*c^4*x^4 - I*sqrt(2)*cos(1/2*a) - sqrt(2)*sin(1/2*a))*sin(3/2*arctan2(c^4*x^4*sin(2*a), c^4*x^4*cos(2*a) + 1)))/(((cos(2*a)^2 + sin(2*a)^2)*c^8*x^8 + 2*c^4*x^4*cos(2*a) + 1)^(3/4)*c)","B",0
123,1,3537,0,0.619670," ","integrate(x^m*cos(a+b*log(c*x^n))^4,x, algorithm=""maxima"")","\frac{{\left({\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} m^{4} + 4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} m^{3} + 16 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{3} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) + {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{3} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right)\right)} m\right)} n^{3} + 6 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} m^{2} + 4 \, {\left(b^{2} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + {\left(b^{2} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right)\right)} m^{2} + b^{2} \cos\left(4 \, b \log\left(c\right)\right) + 2 \, {\left(b^{2} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right)\right)} m\right)} n^{2} + 4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} m + 4 \, {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right)\right)} m^{3} + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right)\right)} m^{2} + b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right)\right)} m + b \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} x x^{m} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left({\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{4} + 4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{3} + 32 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m\right)} n^{3} + 6 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + 16 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + 2 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m\right)} n^{2} + 4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m + 2 \, {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{3} + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x x^{m} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left({\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} m^{4} + 4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} m^{3} - 16 \, {\left(b^{3} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right) + {\left(b^{3} \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right)\right)} m\right)} n^{3} + 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} m^{2} + 4 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{2} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{2} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right)\right)} m^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right) + 2 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b^{2} \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right)\right)} m\right)} n^{2} + 4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} m - 4 \, {\left({\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right)\right)} m^{3} + 3 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right)\right)} m^{2} + b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right)\right)} m + b \cos\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} x x^{m} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left({\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{4} + 4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{3} - 32 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m\right)} n^{3} + 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + 16 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + 2 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m\right)} n^{2} + 4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m - 2 \, {\left({\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{3} + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x x^{m} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 6 \, {\left({\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m^{4} + 64 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m^{3} + 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m^{2} + 20 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2} + {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m^{2} + 2 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m\right)} n^{2} + 4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m + \cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} x x^{m}}{16 \, {\left({\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m^{5} + 5 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m^{4} + 64 \, {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2} + {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m\right)} n^{4} + 10 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m^{3} + 10 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m^{2} + 20 \, {\left({\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m^{3} + b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2} + 3 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m^{2} + 3 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m\right)} n^{2} + 5 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} m + \cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/16*(((cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c)))*m^4 + 4*(cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c)))*m^3 + 16*(b^3*cos(4*b*log(c))*sin(8*b*log(c)) - b^3*cos(8*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c)) + (b^3*cos(4*b*log(c))*sin(8*b*log(c)) - b^3*cos(8*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c)))*m)*n^3 + 6*(cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c)))*m^2 + 4*(b^2*cos(8*b*log(c))*cos(4*b*log(c)) + b^2*sin(8*b*log(c))*sin(4*b*log(c)) + (b^2*cos(8*b*log(c))*cos(4*b*log(c)) + b^2*sin(8*b*log(c))*sin(4*b*log(c)) + b^2*cos(4*b*log(c)))*m^2 + b^2*cos(4*b*log(c)) + 2*(b^2*cos(8*b*log(c))*cos(4*b*log(c)) + b^2*sin(8*b*log(c))*sin(4*b*log(c)) + b^2*cos(4*b*log(c)))*m)*n^2 + 4*(cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c)))*m + 4*((b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c)))*m^3 + 3*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c)))*m^2 + b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)) + 3*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c)))*m + b*sin(4*b*log(c)))*n + cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c)))*x*x^m*cos(4*b*log(x^n) + 4*a) + 4*((cos(6*b*log(c))*cos(4*b*log(c)) + cos(4*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*m^4 + 4*(cos(6*b*log(c))*cos(4*b*log(c)) + cos(4*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*m^3 + 32*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)) + b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)) + (b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)) + b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*m)*n^3 + 6*(cos(6*b*log(c))*cos(4*b*log(c)) + cos(4*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*m^2 + 16*(b^2*cos(6*b*log(c))*cos(4*b*log(c)) + b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)) + (b^2*cos(6*b*log(c))*cos(4*b*log(c)) + b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*m^2 + 2*(b^2*cos(6*b*log(c))*cos(4*b*log(c)) + b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*m)*n^2 + 4*(cos(6*b*log(c))*cos(4*b*log(c)) + cos(4*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*m + 2*((b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)) + b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*m^3 + 3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)) + b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*m^2 + b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)) + b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + 3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)) + b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*m)*n + cos(6*b*log(c))*cos(4*b*log(c)) + cos(4*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*x*x^m*cos(2*b*log(x^n) + 2*a) - ((cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c)))*m^4 + 4*(cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c)))*m^3 - 16*(b^3*cos(8*b*log(c))*cos(4*b*log(c)) + b^3*sin(8*b*log(c))*sin(4*b*log(c)) + b^3*cos(4*b*log(c)) + (b^3*cos(8*b*log(c))*cos(4*b*log(c)) + b^3*sin(8*b*log(c))*sin(4*b*log(c)) + b^3*cos(4*b*log(c)))*m)*n^3 + 6*(cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c)))*m^2 + 4*(b^2*cos(4*b*log(c))*sin(8*b*log(c)) - b^2*cos(8*b*log(c))*sin(4*b*log(c)) + (b^2*cos(4*b*log(c))*sin(8*b*log(c)) - b^2*cos(8*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c)))*m^2 + b^2*sin(4*b*log(c)) + 2*(b^2*cos(4*b*log(c))*sin(8*b*log(c)) - b^2*cos(8*b*log(c))*sin(4*b*log(c)) + b^2*sin(4*b*log(c)))*m)*n^2 + 4*(cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c)))*m - 4*((b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)) + b*cos(4*b*log(c)))*m^3 + 3*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)) + b*cos(4*b*log(c)))*m^2 + b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)) + 3*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)) + b*cos(4*b*log(c)))*m + b*cos(4*b*log(c)))*n + cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)) + sin(4*b*log(c)))*x*x^m*sin(4*b*log(x^n) + 4*a) - 4*((cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)) + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*m^4 + 4*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)) + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*m^3 - 32*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)) + (b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*m)*n^3 + 6*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)) + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*m^2 + 16*(b^2*cos(4*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(4*b*log(c)) + b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)) + (b^2*cos(4*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(4*b*log(c)) + b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*m^2 + 2*(b^2*cos(4*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(4*b*log(c)) + b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*m)*n^2 + 4*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)) + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*m - 2*((b*cos(6*b*log(c))*cos(4*b*log(c)) + b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*m^3 + 3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*m^2 + b*cos(6*b*log(c))*cos(4*b*log(c)) + b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + 3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*m)*n + cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)) + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*x*x^m*sin(2*b*log(x^n) + 2*a) + 6*((cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*m^4 + 64*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4 + 4*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*m^3 + 6*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*m^2 + 20*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2 + (b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*m^2 + 2*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*m)*n^2 + 4*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*m + cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*x*x^m)/((cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*m^5 + 5*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*m^4 + 64*(b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2 + (b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*m)*n^4 + 10*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*m^3 + 10*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*m^2 + 20*((b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*m^3 + b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2 + 3*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*m^2 + 3*(b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*m)*n^2 + 5*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*m + cos(4*b*log(c))^2 + sin(4*b*log(c))^2)","B",0
124,1,2352,0,0.506263," ","integrate(x^m*cos(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{{\left({\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right)\right)} m^{3} + 3 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right)\right)} n^{3} + 3 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right)\right)} m^{2} + {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) + {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right)\right)} m\right)} n^{2} + 3 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right)\right)} m + 3 \, {\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right)\right)} m^{2} + b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 2 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right)\right)} m + b \sin\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right)\right)} x x^{m} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 3 \, {\left({\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{3} + 9 \, {\left(b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{3} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 3 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + 9 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m\right)} n^{2} + 3 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m + {\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + 2 \, {\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x x^{m} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right)\right)} m^{3} - 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right)\right)} n^{3} + 3 \, {\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right)\right)} m^{2} + {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right) + {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \sin\left(3 \, b \log\left(c\right)\right)\right)} m\right)} n^{2} + 3 \, {\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right)\right)} m - 3 \, {\left({\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right)\right)} m^{2} + b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + 2 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right)\right)} m + b \cos\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(3 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right)\right)} x x^{m} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 3 \, {\left({\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{3} - 9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b^{3} \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{3} \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} + 3 \, {\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + 9 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b^{2} \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m\right)} n^{2} + 3 \, {\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m - {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} m\right)} n + \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x x^{m} \sin\left(b \log\left(x^{n}\right) + a\right)}{8 \, {\left({\left(\cos\left(3 \, b \log\left(c\right)\right)^{2} + \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} m^{4} + 9 \, {\left(b^{4} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} n^{4} + 4 \, {\left(\cos\left(3 \, b \log\left(c\right)\right)^{2} + \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} m^{3} + 6 \, {\left(\cos\left(3 \, b \log\left(c\right)\right)^{2} + \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} m^{2} + 10 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2} + {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} m^{2} + 2 \, {\left(b^{2} \cos\left(3 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} m\right)} n^{2} + 4 \, {\left(\cos\left(3 \, b \log\left(c\right)\right)^{2} + \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)} m + \cos\left(3 \, b \log\left(c\right)\right)^{2} + \sin\left(3 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/8*(((cos(6*b*log(c))*cos(3*b*log(c)) + sin(6*b*log(c))*sin(3*b*log(c)) + cos(3*b*log(c)))*m^3 + 3*(b^3*cos(3*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c)))*n^3 + 3*(cos(6*b*log(c))*cos(3*b*log(c)) + sin(6*b*log(c))*sin(3*b*log(c)) + cos(3*b*log(c)))*m^2 + (b^2*cos(6*b*log(c))*cos(3*b*log(c)) + b^2*sin(6*b*log(c))*sin(3*b*log(c)) + b^2*cos(3*b*log(c)) + (b^2*cos(6*b*log(c))*cos(3*b*log(c)) + b^2*sin(6*b*log(c))*sin(3*b*log(c)) + b^2*cos(3*b*log(c)))*m)*n^2 + 3*(cos(6*b*log(c))*cos(3*b*log(c)) + sin(6*b*log(c))*sin(3*b*log(c)) + cos(3*b*log(c)))*m + 3*((b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c)))*m^2 + b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + 2*(b*cos(3*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c)))*m + b*sin(3*b*log(c)))*n + cos(6*b*log(c))*cos(3*b*log(c)) + sin(6*b*log(c))*sin(3*b*log(c)) + cos(3*b*log(c)))*x*x^m*cos(3*b*log(x^n) + 3*a) + 3*((cos(4*b*log(c))*cos(3*b*log(c)) + cos(3*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c))*sin(2*b*log(c)))*m^3 + 9*(b^3*cos(3*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(3*b*log(c)) + b^3*cos(2*b*log(c))*sin(3*b*log(c)) - b^3*cos(3*b*log(c))*sin(2*b*log(c)))*n^3 + 3*(cos(4*b*log(c))*cos(3*b*log(c)) + cos(3*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c))*sin(2*b*log(c)))*m^2 + 9*(b^2*cos(4*b*log(c))*cos(3*b*log(c)) + b^2*cos(3*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c))*sin(2*b*log(c)) + (b^2*cos(4*b*log(c))*cos(3*b*log(c)) + b^2*cos(3*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c))*sin(2*b*log(c)))*m)*n^2 + 3*(cos(4*b*log(c))*cos(3*b*log(c)) + cos(3*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c))*sin(2*b*log(c)))*m + ((b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*m^2 + b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)) + 2*(b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)) + b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*m)*n + cos(4*b*log(c))*cos(3*b*log(c)) + cos(3*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c))*sin(2*b*log(c)))*x*x^m*cos(b*log(x^n) + a) - ((cos(3*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c)))*m^3 - 3*(b^3*cos(6*b*log(c))*cos(3*b*log(c)) + b^3*sin(6*b*log(c))*sin(3*b*log(c)) + b^3*cos(3*b*log(c)))*n^3 + 3*(cos(3*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c)))*m^2 + (b^2*cos(3*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c)) + (b^2*cos(3*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(3*b*log(c)) + b^2*sin(3*b*log(c)))*m)*n^2 + 3*(cos(3*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c)))*m - 3*((b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + b*cos(3*b*log(c)))*m^2 + b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + 2*(b*cos(6*b*log(c))*cos(3*b*log(c)) + b*sin(6*b*log(c))*sin(3*b*log(c)) + b*cos(3*b*log(c)))*m + b*cos(3*b*log(c)))*n + cos(3*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(3*b*log(c)) + sin(3*b*log(c)))*x*x^m*sin(3*b*log(x^n) + 3*a) - 3*((cos(3*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(3*b*log(c)) + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*m^3 - 9*(b^3*cos(4*b*log(c))*cos(3*b*log(c)) + b^3*cos(3*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(3*b*log(c)) + b^3*sin(3*b*log(c))*sin(2*b*log(c)))*n^3 + 3*(cos(3*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(3*b*log(c)) + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*m^2 + 9*(b^2*cos(3*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(3*b*log(c)) + b^2*cos(2*b*log(c))*sin(3*b*log(c)) - b^2*cos(3*b*log(c))*sin(2*b*log(c)) + (b^2*cos(3*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(3*b*log(c)) + b^2*cos(2*b*log(c))*sin(3*b*log(c)) - b^2*cos(3*b*log(c))*sin(2*b*log(c)))*m)*n^2 + 3*(cos(3*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(3*b*log(c)) + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*m - ((b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*m^2 + b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)) + 2*(b*cos(4*b*log(c))*cos(3*b*log(c)) + b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*m)*n + cos(3*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(3*b*log(c)) + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*x*x^m*sin(b*log(x^n) + a))/((cos(3*b*log(c))^2 + sin(3*b*log(c))^2)*m^4 + 9*(b^4*cos(3*b*log(c))^2 + b^4*sin(3*b*log(c))^2)*n^4 + 4*(cos(3*b*log(c))^2 + sin(3*b*log(c))^2)*m^3 + 6*(cos(3*b*log(c))^2 + sin(3*b*log(c))^2)*m^2 + 10*(b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2 + (b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2)*m^2 + 2*(b^2*cos(3*b*log(c))^2 + b^2*sin(3*b*log(c))^2)*m)*n^2 + 4*(cos(3*b*log(c))^2 + sin(3*b*log(c))^2)*m + cos(3*b*log(c))^2 + sin(3*b*log(c))^2)","B",0
125,1,646,0,0.395657," ","integrate(x^m*cos(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{{\left({\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + 2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right)\right)} m + 2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right)\right)} m + b \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right)\right)} x x^{m} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left({\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right)\right)} m^{2} + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right)\right)} m - 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + b \cos\left(2 \, b \log\left(c\right)\right)\right)} m + b \cos\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right)\right)} x x^{m} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left({\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} m^{2} + 4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} m + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} x x^{m}}{4 \, {\left({\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} m^{3} + 3 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} m^{2} + 4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2} + {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} m\right)} n^{2} + 3 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} m + \cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/4*(((cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)) + cos(2*b*log(c)))*m^2 + 2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)) + cos(2*b*log(c)))*m + 2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + (b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)) + b*sin(2*b*log(c)))*m + b*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)) + cos(2*b*log(c)))*x*x^m*cos(2*b*log(x^n) + 2*a) - ((cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)) + sin(2*b*log(c)))*m^2 + 2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)) + sin(2*b*log(c)))*m - 2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + (b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)) + b*cos(2*b*log(c)))*m + b*cos(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)) + sin(2*b*log(c)))*x*x^m*sin(2*b*log(x^n) + 2*a) + 2*((cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*m^2 + 4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2 + 2*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*m + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*x*x^m)/((cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*m^3 + 3*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*m^2 + 4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2 + (b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*m)*n^2 + 3*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*m + cos(2*b*log(c))^2 + sin(2*b*log(c))^2)","B",0
126,1,313,0,0.365947," ","integrate(x^m*cos(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{{\left({\left(\cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right)\right)} m + {\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right)\right)} x x^{m} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(\cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + \sin\left(b \log\left(c\right)\right)\right)} m - {\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + b \cos\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right) + \sin\left(b \log\left(c\right)\right)\right)} x x^{m} \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, {\left({\left(\cos\left(b \log\left(c\right)\right)^{2} + \sin\left(b \log\left(c\right)\right)^{2}\right)} m^{2} + {\left(b^{2} \cos\left(b \log\left(c\right)\right)^{2} + b^{2} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{2} + 2 \, {\left(\cos\left(b \log\left(c\right)\right)^{2} + \sin\left(b \log\left(c\right)\right)^{2}\right)} m + \cos\left(b \log\left(c\right)\right)^{2} + \sin\left(b \log\left(c\right)\right)^{2}\right)}}"," ",0,"1/2*(((cos(2*b*log(c))*cos(b*log(c)) + sin(2*b*log(c))*sin(b*log(c)) + cos(b*log(c)))*m + (b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)) + b*sin(b*log(c)))*n + cos(2*b*log(c))*cos(b*log(c)) + sin(2*b*log(c))*sin(b*log(c)) + cos(b*log(c)))*x*x^m*cos(b*log(x^n) + a) - ((cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)) + sin(b*log(c)))*m - (b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)) + b*cos(b*log(c)))*n + cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)) + sin(b*log(c)))*x*x^m*sin(b*log(x^n) + a))/((cos(b*log(c))^2 + sin(b*log(c))^2)*m^2 + (b^2*cos(b*log(c))^2 + b^2*sin(b*log(c))^2)*n^2 + 2*(cos(b*log(c))^2 + sin(b*log(c))^2)*m + cos(b*log(c))^2 + sin(b*log(c))^2)","B",0
127,0,0,0,0.000000," ","integrate(x^m*cos(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int x^{m} \cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x^m*cos(b*log(c*x^n) + a)^(3/2), x)","F",0
128,0,0,0,0.000000," ","integrate(x^m*cos(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int x^{m} \sqrt{\cos\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate(x^m*sqrt(cos(b*log(c*x^n) + a)), x)","F",0
129,0,0,0,0.000000," ","integrate(x^m/cos(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{\cos\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(x^m/sqrt(cos(b*log(c*x^n) + a)), x)","F",0
130,0,0,0,0.000000," ","integrate(x^m/cos(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^m/cos(b*log(c*x^n) + a)^(3/2), x)","F",0
131,0,0,0,0.000000," ","integrate(x^m/cos(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^m/cos(b*log(c*x^n) + a)^(5/2), x)","F",0
132,0,0,0,0.000000," ","integrate((e*x)^m*cos(d*(a+b*log(c*x^n)))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \cos\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*cos((b*log(c*x^n) + a)*d)^p, x)","F",0
133,0,0,0,0.000000," ","integrate(x*cos(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\int x \cos\left(b \log\left(c x^{n}\right) + a\right)^{p}\,{d x}"," ",0,"integrate(x*cos(b*log(c*x^n) + a)^p, x)","F",0
134,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\int \cos\left(b \log\left(c x^{n}\right) + a\right)^{p}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^p, x)","F",0
135,1,90,0,0.341548," ","integrate(x^3*tan(a+I*log(x)),x, algorithm=""maxima"")","\frac{1}{4} i \, x^{4} + x^{2} {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} - \frac{1}{4} \, {\left(4 \, \cos\left(4 \, a\right) + 4 i \, \sin\left(4 \, a\right)\right)} \arctan\left(\sin\left(2 \, a\right), x^{2} + \cos\left(2 \, a\right)\right) + \frac{1}{2} \, {\left(i \, \cos\left(4 \, a\right) - \sin\left(4 \, a\right)\right)} \log\left(x^{4} + 2 \, x^{2} \cos\left(2 \, a\right) + \cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)"," ",0,"1/4*I*x^4 + x^2*(-I*cos(2*a) + sin(2*a)) - 1/4*(4*cos(4*a) + 4*I*sin(4*a))*arctan2(sin(2*a), x^2 + cos(2*a)) + 1/2*(I*cos(4*a) - sin(4*a))*log(x^4 + 2*x^2*cos(2*a) + cos(2*a)^2 + sin(2*a)^2)","B",0
136,1,151,0,0.447055," ","integrate(x^2*tan(a+I*log(x)),x, algorithm=""maxima"")","\frac{1}{3} i \, x^{3} - 2 \, x {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} - {\left(i \, \cos\left(3 \, a\right) - \sin\left(3 \, a\right)\right)} \arctan\left(\frac{2 \, x \cos\left(a\right)}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}, \frac{x^{2} - \cos\left(a\right)^{2} - \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right) + \frac{1}{6} \, {\left(3 \, \cos\left(3 \, a\right) + 3 i \, \sin\left(3 \, a\right)\right)} \log\left(\frac{x^{2} + \cos\left(a\right)^{2} + 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right)"," ",0,"1/3*I*x^3 - 2*x*(I*cos(2*a) - sin(2*a)) - (I*cos(3*a) - sin(3*a))*arctan2(2*x*cos(a)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2), (x^2 - cos(a)^2 - sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)) + 1/6*(3*cos(3*a) + 3*I*sin(3*a))*log((x^2 + cos(a)^2 + 2*x*sin(a) + sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2))","B",0
137,1,73,0,0.338156," ","integrate(x*tan(a+I*log(x)),x, algorithm=""maxima"")","\frac{1}{2} i \, x^{2} + \frac{1}{2} \, {\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(2 \, a\right), x^{2} + \cos\left(2 \, a\right)\right) + \frac{1}{2} \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \log\left(x^{4} + 2 \, x^{2} \cos\left(2 \, a\right) + \cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)"," ",0,"1/2*I*x^2 + 1/2*(2*cos(2*a) + 2*I*sin(2*a))*arctan2(sin(2*a), x^2 + cos(2*a)) + 1/2*(-I*cos(2*a) + sin(2*a))*log(x^4 + 2*x^2*cos(2*a) + cos(2*a)^2 + sin(2*a)^2)","B",0
138,1,122,0,0.496581," ","integrate(tan(a+I*log(x)),x, algorithm=""maxima"")","{\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \arctan\left(\frac{2 \, x \cos\left(a\right)}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}, \frac{x^{2} - \cos\left(a\right)^{2} - \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right) - \frac{1}{2} \, {\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} \log\left(\frac{x^{2} + \cos\left(a\right)^{2} + 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right) + i \, x"," ",0,"(I*cos(a) - sin(a))*arctan2(2*x*cos(a)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2), (x^2 - cos(a)^2 - sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)) - 1/2*(cos(a) + I*sin(a))*log((x^2 + cos(a)^2 + 2*x*sin(a) + sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)) + I*x","B",0
139,1,10,0,0.334922," ","integrate(tan(a+I*log(x))/x,x, algorithm=""maxima"")","-i \, \log\left(\sec\left(a + i \, \log\left(x\right)\right)\right)"," ",0,"-I*log(sec(a + I*log(x)))","A",0
140,1,127,0,0.461979," ","integrate(tan(a+I*log(x))/x^2,x, algorithm=""maxima"")","\frac{2 \, x {\left(-i \, \cos\left(a\right) - \sin\left(a\right)\right)} \arctan\left(\frac{2 \, x \cos\left(a\right)}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}, \frac{x^{2} - \cos\left(a\right)^{2} - \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right) + x {\left(\cos\left(a\right) - i \, \sin\left(a\right)\right)} \log\left(\frac{x^{2} + \cos\left(a\right)^{2} + 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right) + 2 i}{2 \, x}"," ",0,"1/2*(2*x*(-I*cos(a) - sin(a))*arctan2(2*x*cos(a)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2), (x^2 - cos(a)^2 - sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)) + x*(cos(a) - I*sin(a))*log((x^2 + cos(a)^2 + 2*x*sin(a) + sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)) + 2*I)/x","B",0
141,1,96,0,0.358845," ","integrate(tan(a+I*log(x))/x^3,x, algorithm=""maxima"")","-\frac{x^{2} {\left(i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \log\left(x^{4} + 2 \, x^{2} \cos\left(2 \, a\right) + \cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right) - {\left({\left(2 \, \cos\left(2 \, a\right) - 2 i \, \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(2 \, a\right), x^{2} + \cos\left(2 \, a\right)\right) + 4 \, {\left(i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \log\left(x\right)\right)} x^{2} - i}{2 \, x^{2}}"," ",0,"-1/2*(x^2*(I*cos(2*a) + sin(2*a))*log(x^4 + 2*x^2*cos(2*a) + cos(2*a)^2 + sin(2*a)^2) - ((2*cos(2*a) - 2*I*sin(2*a))*arctan2(sin(2*a), x^2 + cos(2*a)) + 4*(I*cos(2*a) + sin(2*a))*log(x))*x^2 - I)/x^2","B",0
142,1,157,0,0.464356," ","integrate(tan(a+I*log(x))/x^4,x, algorithm=""maxima"")","-\frac{6 \, x^{3} {\left(-i \, \cos\left(3 \, a\right) - \sin\left(3 \, a\right)\right)} \arctan\left(\frac{2 \, x \cos\left(a\right)}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}, \frac{x^{2} - \cos\left(a\right)^{2} - \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right) + x^{3} {\left(3 \, \cos\left(3 \, a\right) - 3 i \, \sin\left(3 \, a\right)\right)} \log\left(\frac{x^{2} + \cos\left(a\right)^{2} + 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right) + 12 \, x^{2} {\left(i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} - 2 i}{6 \, x^{3}}"," ",0,"-1/6*(6*x^3*(-I*cos(3*a) - sin(3*a))*arctan2(2*x*cos(a)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2), (x^2 - cos(a)^2 - sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)) + x^3*(3*cos(3*a) - 3*I*sin(3*a))*log((x^2 + cos(a)^2 + 2*x*sin(a) + sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)) + 12*x^2*(I*cos(2*a) + sin(2*a)) - 2*I)/x^3","B",0
143,1,231,0,0.374070," ","integrate(x^3*tan(a+I*log(x))^2,x, algorithm=""maxima"")","-\frac{x^{6} - x^{4} {\left(7 \, \cos\left(2 \, a\right) + 7 i \, \sin\left(2 \, a\right)\right)} - {\left(16 \, {\left(-i \, \cos\left(4 \, a\right) + \sin\left(4 \, a\right)\right)} \arctan\left(\sin\left(2 \, a\right), x^{2} + \cos\left(2 \, a\right)\right) + 8 \, \cos\left(4 \, a\right) + 8 i \, \sin\left(4 \, a\right)\right)} x^{2} - {\left(16 \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \cos\left(4 \, a\right) + {\left(16 \, \cos\left(2 \, a\right) + 16 i \, \sin\left(2 \, a\right)\right)} \sin\left(4 \, a\right)\right)} \arctan\left(\sin\left(2 \, a\right), x^{2} + \cos\left(2 \, a\right)\right) + {\left(x^{2} {\left(8 \, \cos\left(4 \, a\right) + 8 i \, \sin\left(4 \, a\right)\right)} + {\left(8 \, \cos\left(2 \, a\right) + 8 i \, \sin\left(2 \, a\right)\right)} \cos\left(4 \, a\right) - 8 \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \sin\left(4 \, a\right)\right)} \log\left(x^{4} + 2 \, x^{2} \cos\left(2 \, a\right) + \cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right) + 8 \, \cos\left(6 \, a\right) + 8 i \, \sin\left(6 \, a\right)}{4 \, x^{2} + 4 \, \cos\left(2 \, a\right) + 4 i \, \sin\left(2 \, a\right)}"," ",0,"-(x^6 - x^4*(7*cos(2*a) + 7*I*sin(2*a)) - (16*(-I*cos(4*a) + sin(4*a))*arctan2(sin(2*a), x^2 + cos(2*a)) + 8*cos(4*a) + 8*I*sin(4*a))*x^2 - (16*(-I*cos(2*a) + sin(2*a))*cos(4*a) + (16*cos(2*a) + 16*I*sin(2*a))*sin(4*a))*arctan2(sin(2*a), x^2 + cos(2*a)) + (x^2*(8*cos(4*a) + 8*I*sin(4*a)) + (8*cos(2*a) + 8*I*sin(2*a))*cos(4*a) - 8*(-I*cos(2*a) + sin(2*a))*sin(4*a))*log(x^4 + 2*x^2*cos(2*a) + cos(2*a)^2 + sin(2*a)^2) + 8*cos(6*a) + 8*I*sin(6*a))/(4*x^2 + 4*cos(2*a) + 4*I*sin(2*a))","B",0
144,1,269,0,0.465555," ","integrate(x^2*tan(a+I*log(x))^2,x, algorithm=""maxima"")","-\frac{2 \, x^{5} - x^{3} {\left(22 \, \cos\left(2 \, a\right) + 22 i \, \sin\left(2 \, a\right)\right)} - x {\left(36 \, \cos\left(4 \, a\right) + 36 i \, \sin\left(4 \, a\right)\right)} - {\left(x^{2} {\left(18 \, \cos\left(3 \, a\right) + 18 i \, \sin\left(3 \, a\right)\right)} + {\left(18 \, \cos\left(2 \, a\right) + 18 i \, \sin\left(2 \, a\right)\right)} \cos\left(3 \, a\right) - 18 \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \sin\left(3 \, a\right)\right)} \arctan\left(\frac{2 \, x \cos\left(a\right)}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}, \frac{x^{2} - \cos\left(a\right)^{2} - \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right) + {\left(9 \, x^{2} {\left(-i \, \cos\left(3 \, a\right) + \sin\left(3 \, a\right)\right)} + 9 \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \cos\left(3 \, a\right) + {\left(9 \, \cos\left(2 \, a\right) + 9 i \, \sin\left(2 \, a\right)\right)} \sin\left(3 \, a\right)\right)} \log\left(\frac{x^{2} + \cos\left(a\right)^{2} + 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right)}{6 \, x^{2} + 6 \, \cos\left(2 \, a\right) + 6 i \, \sin\left(2 \, a\right)}"," ",0,"-(2*x^5 - x^3*(22*cos(2*a) + 22*I*sin(2*a)) - x*(36*cos(4*a) + 36*I*sin(4*a)) - (x^2*(18*cos(3*a) + 18*I*sin(3*a)) + (18*cos(2*a) + 18*I*sin(2*a))*cos(3*a) - 18*(-I*cos(2*a) + sin(2*a))*sin(3*a))*arctan2(2*x*cos(a)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2), (x^2 - cos(a)^2 - sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)) + (9*x^2*(-I*cos(3*a) + sin(3*a)) + 9*(-I*cos(2*a) + sin(2*a))*cos(3*a) + (9*cos(2*a) + 9*I*sin(2*a))*sin(3*a))*log((x^2 + cos(a)^2 + 2*x*sin(a) + sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)))/(6*x^2 + 6*cos(2*a) + 6*I*sin(2*a))","B",0
145,1,193,0,0.354787," ","integrate(x*tan(a+I*log(x))^2,x, algorithm=""maxima"")","-\frac{x^{4} + {\left(4 \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(2 \, a\right), x^{2} + \cos\left(2 \, a\right)\right) + \cos\left(2 \, a\right) + i \, \sin\left(2 \, a\right)\right)} x^{2} - {\left(4 i \, \cos\left(2 \, a\right)^{2} - 8 \, \cos\left(2 \, a\right) \sin\left(2 \, a\right) - 4 i \, \sin\left(2 \, a\right)^{2}\right)} \arctan\left(\sin\left(2 \, a\right), x^{2} + \cos\left(2 \, a\right)\right) - {\left(x^{2} {\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} + 2 \, \cos\left(2 \, a\right)^{2} + 4 i \, \cos\left(2 \, a\right) \sin\left(2 \, a\right) - 2 \, \sin\left(2 \, a\right)^{2}\right)} \log\left(x^{4} + 2 \, x^{2} \cos\left(2 \, a\right) + \cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right) - 4 \, \cos\left(4 \, a\right) - 4 i \, \sin\left(4 \, a\right)}{2 \, x^{2} + 2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)}"," ",0,"-(x^4 + (4*(-I*cos(2*a) + sin(2*a))*arctan2(sin(2*a), x^2 + cos(2*a)) + cos(2*a) + I*sin(2*a))*x^2 - (4*I*cos(2*a)^2 - 8*cos(2*a)*sin(2*a) - 4*I*sin(2*a)^2)*arctan2(sin(2*a), x^2 + cos(2*a)) - (x^2*(2*cos(2*a) + 2*I*sin(2*a)) + 2*cos(2*a)^2 + 4*I*cos(2*a)*sin(2*a) - 2*sin(2*a)^2)*log(x^4 + 2*x^2*cos(2*a) + cos(2*a)^2 + sin(2*a)^2) - 4*cos(4*a) - 4*I*sin(4*a))/(2*x^2 + 2*cos(2*a) + 2*I*sin(2*a))","B",0
146,1,226,0,0.458587," ","integrate(tan(a+I*log(x))^2,x, algorithm=""maxima"")","-\frac{2 \, x^{3} + x {\left(6 \, \cos\left(2 \, a\right) + 6 i \, \sin\left(2 \, a\right)\right)} + {\left(x^{2} {\left(2 \, \cos\left(a\right) + 2 i \, \sin\left(a\right)\right)} + {\left(2 \, \cos\left(a\right) + 2 i \, \sin\left(a\right)\right)} \cos\left(2 \, a\right) - 2 \, {\left(-i \, \cos\left(a\right) + \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} \arctan\left(\frac{2 \, x \cos\left(a\right)}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}, \frac{x^{2} - \cos\left(a\right)^{2} - \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right) + {\left(x^{2} {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} + {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \cos\left(2 \, a\right) - {\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} \log\left(\frac{x^{2} + \cos\left(a\right)^{2} + 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right)}{2 \, x^{2} + 2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)}"," ",0,"-(2*x^3 + x*(6*cos(2*a) + 6*I*sin(2*a)) + (x^2*(2*cos(a) + 2*I*sin(a)) + (2*cos(a) + 2*I*sin(a))*cos(2*a) - 2*(-I*cos(a) + sin(a))*sin(2*a))*arctan2(2*x*cos(a)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2), (x^2 - cos(a)^2 - sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)) + (x^2*(I*cos(a) - sin(a)) + (I*cos(a) - sin(a))*cos(2*a) - (cos(a) + I*sin(a))*sin(2*a))*log((x^2 + cos(a)^2 + 2*x*sin(a) + sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)))/(2*x^2 + 2*cos(2*a) + 2*I*sin(2*a))","B",0
147,1,17,0,0.428394," ","integrate(tan(a+I*log(x))^2/x,x, algorithm=""maxima"")","i \, a - \log\left(x\right) - i \, \tan\left(a + i \, \log\left(x\right)\right)"," ",0,"I*a - log(x) - I*tan(a + I*log(x))","A",0
148,1,231,0,0.472573," ","integrate(tan(a+I*log(x))^2/x^2,x, algorithm=""maxima"")","\frac{6 \, x^{2} - {\left(x^{3} {\left(2 \, \cos\left(a\right) - 2 i \, \sin\left(a\right)\right)} + {\left({\left(2 \, \cos\left(a\right) - 2 i \, \sin\left(a\right)\right)} \cos\left(2 \, a\right) + 2 \, {\left(i \, \cos\left(a\right) + \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} x\right)} \arctan\left(\frac{2 \, x \cos\left(a\right)}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}, \frac{x^{2} - \cos\left(a\right)^{2} - \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right) + {\left(x^{3} {\left(-i \, \cos\left(a\right) - \sin\left(a\right)\right)} + {\left({\left(-i \, \cos\left(a\right) - \sin\left(a\right)\right)} \cos\left(2 \, a\right) + {\left(\cos\left(a\right) - i \, \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} x\right)} \log\left(\frac{x^{2} + \cos\left(a\right)^{2} + 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}{x^{2} + \cos\left(a\right)^{2} - 2 \, x \sin\left(a\right) + \sin\left(a\right)^{2}}\right) + 2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)}{2 \, x^{3} + x {\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)}}"," ",0,"(6*x^2 - (x^3*(2*cos(a) - 2*I*sin(a)) + ((2*cos(a) - 2*I*sin(a))*cos(2*a) + 2*(I*cos(a) + sin(a))*sin(2*a))*x)*arctan2(2*x*cos(a)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2), (x^2 - cos(a)^2 - sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)) + (x^3*(-I*cos(a) - sin(a)) + ((-I*cos(a) - sin(a))*cos(2*a) + (cos(a) - I*sin(a))*sin(2*a))*x)*log((x^2 + cos(a)^2 + 2*x*sin(a) + sin(a)^2)/(x^2 + cos(a)^2 - 2*x*sin(a) + sin(a)^2)) + 2*cos(2*a) + 2*I*sin(2*a))/(2*x^3 + x*(2*cos(2*a) + 2*I*sin(2*a)))","B",0
149,-2,0,0,0.000000," ","integrate(tan(a+I*log(x))^2/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
150,0,0,0,0.000000," ","integrate((e*x)^m*tan(a+I*log(x)),x, algorithm=""maxima"")","\int \left(e x\right)^{m} \tan\left(a + i \, \log\left(x\right)\right)\,{d x}"," ",0,"integrate((e*x)^m*tan(a + I*log(x)), x)","F",0
151,0,0,0,0.000000," ","integrate((e*x)^m*tan(a+I*log(x))^2,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \tan\left(a + i \, \log\left(x\right)\right)^{2}\,{d x}"," ",0,"integrate((e*x)^m*tan(a + I*log(x))^2, x)","F",0
152,0,0,0,0.000000," ","integrate((e*x)^m*tan(a+I*log(x))^3,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \tan\left(a + i \, \log\left(x\right)\right)^{3}\,{d x}"," ",0,"integrate((e*x)^m*tan(a + I*log(x))^3, x)","F",0
153,0,0,0,0.000000," ","integrate(tan(a+b*log(x))^p,x, algorithm=""maxima"")","\int \tan\left(b \log\left(x\right) + a\right)^{p}\,{d x}"," ",0,"integrate(tan(b*log(x) + a)^p, x)","F",0
154,0,0,0,0.000000," ","integrate((e*x)^m*tan(a+b*log(x))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \tan\left(b \log\left(x\right) + a\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*tan(b*log(x) + a)^p, x)","F",0
155,0,0,0,0.000000," ","integrate(tan(a+log(x))^p,x, algorithm=""maxima"")","\int \tan\left(a + \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(tan(a + log(x))^p, x)","F",0
156,0,0,0,0.000000," ","integrate(tan(a+2*log(x))^p,x, algorithm=""maxima"")","\int \tan\left(a + 2 \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(tan(a + 2*log(x))^p, x)","F",0
157,0,0,0,0.000000," ","integrate(tan(a+3*log(x))^p,x, algorithm=""maxima"")","\int \tan\left(a + 3 \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(tan(a + 3*log(x))^p, x)","F",0
158,0,0,0,0.000000," ","integrate(x^3*tan(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\int x^{3} \tan\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x^3*tan((b*log(c*x^n) + a)*d), x)","F",0
159,0,0,0,0.000000," ","integrate(x^2*tan(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\int x^{2} \tan\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x^2*tan((b*log(c*x^n) + a)*d), x)","F",0
160,0,0,0,0.000000," ","integrate(x*tan(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\int x \tan\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x*tan((b*log(c*x^n) + a)*d), x)","F",0
161,0,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\int \tan\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(tan((b*log(c*x^n) + a)*d), x)","F",0
162,1,24,0,0.316950," ","integrate(tan(d*(a+b*log(c*x^n)))/x,x, algorithm=""maxima"")","\frac{\log\left(\sec\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\right)}{b d n}"," ",0,"log(sec((b*log(c*x^n) + a)*d))/(b*d*n)","A",0
163,0,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""maxima"")","\int \frac{\tan\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)}{x^{2}}\,{d x}"," ",0,"integrate(tan((b*log(c*x^n) + a)*d)/x^2, x)","F",0
164,0,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""maxima"")","\int \frac{\tan\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)}{x^{3}}\,{d x}"," ",0,"integrate(tan((b*log(c*x^n) + a)*d)/x^3, x)","F",0
165,-1,0,0,0.000000," ","integrate(x^3*tan(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,-1,0,0,0.000000," ","integrate(x^2*tan(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,-1,0,0,0.000000," ","integrate(x*tan(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,-1,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,1,320,0,0.679201," ","integrate(tan(d*(a+b*log(c*x^n)))^2/x,x, algorithm=""maxima"")","-\frac{{\left(b d \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b d \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} \log\left(x\right) + {\left(b d \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b d \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n \log\left(x\right) \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + b d n \log\left(x\right) + 2 \, {\left(b d n \cos\left(2 \, b d \log\left(c\right)\right) \log\left(x\right) - \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left(b d n \log\left(x\right) \sin\left(2 \, b d \log\left(c\right)\right) + \cos\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)}{2 \, b d n \cos\left(2 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, b d n \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + {\left(b d \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b d \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + {\left(b d \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b d \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + b d n}"," ",0,"-((b*d*cos(2*b*d*log(c))^2 + b*d*sin(2*b*d*log(c))^2)*n*cos(2*b*d*log(x^n) + 2*a*d)^2*log(x) + (b*d*cos(2*b*d*log(c))^2 + b*d*sin(2*b*d*log(c))^2)*n*log(x)*sin(2*b*d*log(x^n) + 2*a*d)^2 + b*d*n*log(x) + 2*(b*d*n*cos(2*b*d*log(c))*log(x) - sin(2*b*d*log(c)))*cos(2*b*d*log(x^n) + 2*a*d) - 2*(b*d*n*log(x)*sin(2*b*d*log(c)) + cos(2*b*d*log(c)))*sin(2*b*d*log(x^n) + 2*a*d))/(2*b*d*n*cos(2*b*d*log(c))*cos(2*b*d*log(x^n) + 2*a*d) - 2*b*d*n*sin(2*b*d*log(c))*sin(2*b*d*log(x^n) + 2*a*d) + (b*d*cos(2*b*d*log(c))^2 + b*d*sin(2*b*d*log(c))^2)*n*cos(2*b*d*log(x^n) + 2*a*d)^2 + (b*d*cos(2*b*d*log(c))^2 + b*d*sin(2*b*d*log(c))^2)*n*sin(2*b*d*log(x^n) + 2*a*d)^2 + b*d*n)","B",0
170,-1,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))^2/x^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,-1,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))^2/x^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
172,1,1242,0,0.384349," ","integrate(tan(a+b*log(c*x^n))^3/x,x, algorithm=""maxima"")","\frac{8 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 8 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 4 \, {\left({\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 1\right)} \log\left({\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \cos\left(2 \, b \log\left(c\right)\right)^{2} + {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \sin\left(2 \, b \log\left(c\right)\right)^{2} + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, a\right) - \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, a\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right)\right) + \cos\left(2 \, b \log\left(x^{n}\right)\right)^{2} - 2 \, {\left(\cos\left(2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, a\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right)\right) + \sin\left(2 \, b \log\left(x^{n}\right)\right)^{2}\right) - 4 \, {\left({\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{2 \, {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, b n \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 4 \, b n \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + b n + 2 \, {\left(b n \cos\left(4 \, b \log\left(c\right)\right) + 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b n \sin\left(4 \, b \log\left(c\right)\right) - 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"1/2*(8*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + 8*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 + 4*((cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + (cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) + 4*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + ((cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + (cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 + 2*(2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 2*(2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 4*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 1)*log((cos(2*a)^2 + sin(2*a)^2)*cos(2*b*log(c))^2 + (cos(2*a)^2 + sin(2*a)^2)*sin(2*b*log(c))^2 + 2*(cos(2*b*log(c))*cos(2*a) - sin(2*b*log(c))*sin(2*a))*cos(2*b*log(x^n)) + cos(2*b*log(x^n))^2 - 2*(cos(2*a)*sin(2*b*log(c)) + cos(2*b*log(c))*sin(2*a))*sin(2*b*log(x^n)) + sin(2*b*log(x^n))^2) - 4*((cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - (cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a) - 4*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/((b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2 + 4*b*n*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 4*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 + (b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*sin(4*b*log(x^n) + 4*a)^2 - 4*b*n*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 4*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + b*n + 2*(b*n*cos(4*b*log(c)) + 2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + 2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 2*(2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + b*n*sin(4*b*log(c)) - 2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","B",0
173,1,2171,0,0.433460," ","integrate(tan(a+b*log(c*x^n))^4/x,x, algorithm=""maxima"")","\frac{3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} \log\left(x\right) + 27 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} \log\left(x\right) + 27 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} \log\left(x\right) + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \log\left(x\right) \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 27 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \log\left(x\right) \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 27 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \log\left(x\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 3 \, b n \log\left(x\right) + 2 \, {\left(3 \, b n \cos\left(6 \, b \log\left(c\right)\right) \log\left(x\right) + 3 \, {\left(3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) - 2 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) - 2 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(3 \, b n \cos\left(4 \, b \log\left(c\right)\right) \log\left(x\right) + 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \log\left(x\right) + 9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 6 \, {\left(3 \, b n \cos\left(2 \, b \log\left(c\right)\right) \log\left(x\right) - 2 \, \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(3 \, b n \log\left(x\right) \sin\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) - 2 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) - 2 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, \cos\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \log\left(x\right) + 3 \, b n \log\left(x\right) \sin\left(4 \, b \log\left(c\right)\right) - 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, \cos\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 6 \, {\left(3 \, b n \log\left(x\right) \sin\left(2 \, b \log\left(c\right)\right) + 2 \, \cos\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{3 \, {\left({\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 6 \, b n \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 6 \, b n \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + b n + 2 \, {\left(b n \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b n \cos\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b n \sin\left(6 \, b \log\left(c\right)\right) - 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b n \sin\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"1/3*(3*(b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*cos(6*b*log(x^n) + 6*a)^2*log(x) + 27*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2*log(x) + 27*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2*log(x) + 3*(b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*log(x)*sin(6*b*log(x^n) + 6*a)^2 + 27*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*log(x)*sin(4*b*log(x^n) + 4*a)^2 + 27*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*log(x)*sin(2*b*log(x^n) + 2*a)^2 + 3*b*n*log(x) + 2*(3*b*n*cos(6*b*log(c))*log(x) + 3*(3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*log(x) - 2*cos(4*b*log(c))*sin(6*b*log(c)) + 2*cos(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 3*(3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*log(x) - 2*cos(2*b*log(c))*sin(6*b*log(c)) + 2*cos(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 3*(3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*log(x) + 2*cos(6*b*log(c))*cos(4*b*log(c)) + 2*sin(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 3*(3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*log(x) + 2*cos(6*b*log(c))*cos(2*b*log(c)) + 2*sin(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - 4*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) + 6*(3*b*n*cos(4*b*log(c))*log(x) + 9*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a)*log(x) + 9*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*log(x)*sin(2*b*log(x^n) + 2*a) - 2*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 6*(3*b*n*cos(2*b*log(c))*log(x) - 2*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(3*b*n*log(x)*sin(6*b*log(c)) + 3*(3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*log(x) + 2*cos(6*b*log(c))*cos(4*b*log(c)) + 2*sin(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 3*(3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*log(x) + 2*cos(6*b*log(c))*cos(2*b*log(c)) + 2*sin(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 3*(3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*log(x) - 2*cos(4*b*log(c))*sin(6*b*log(c)) + 2*cos(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 3*(3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*log(x) - 2*cos(2*b*log(c))*sin(6*b*log(c)) + 2*cos(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + 4*cos(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) - 6*(9*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a)*log(x) + 3*b*n*log(x)*sin(4*b*log(c)) - 9*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*log(x)*sin(2*b*log(x^n) + 2*a) + 2*cos(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 6*(3*b*n*log(x)*sin(2*b*log(c)) + 2*cos(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))/((b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*cos(6*b*log(x^n) + 6*a)^2 + 9*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2 + 6*b*n*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 9*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 + (b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*sin(6*b*log(x^n) + 6*a)^2 + 9*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*sin(4*b*log(x^n) + 4*a)^2 - 6*b*n*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 9*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + b*n + 2*(b*n*cos(6*b*log(c)) + 3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) + 3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + 3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) + 3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(b*n*cos(4*b*log(c)) + 3*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + 3*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 2*(3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) + 3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + b*n*sin(6*b*log(c)) - 3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) - 3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) - 6*(3*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + b*n*sin(4*b*log(c)) - 3*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","B",0
174,1,4466,0,0.494510," ","integrate(tan(a+b*log(c*x^n))^5/x,x, algorithm=""maxima"")","-\frac{32 \, {\left(\cos\left(6 \, b \log\left(c\right)\right)^{2} + \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 48 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 32 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 32 \, {\left(\cos\left(6 \, b \log\left(c\right)\right)^{2} + \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 48 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 32 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 8 \, {\left({\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(\cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) + 8 \, {\left(10 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 8 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 10 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 8 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 8 \, {\left(10 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 10 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 8 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left(\cos\left(8 \, b \log\left(c\right)\right)^{2} + \sin\left(8 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)^{2} + 16 \, {\left(\cos\left(6 \, b \log\left(c\right)\right)^{2} + \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 36 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 16 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(\cos\left(8 \, b \log\left(c\right)\right)^{2} + \sin\left(8 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)^{2} + 16 \, {\left(\cos\left(6 \, b \log\left(c\right)\right)^{2} + \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 36 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 16 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(8 \, b \log\left(c\right)\right)\right)} \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) + 8 \, {\left(6 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 12 \, {\left(4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 8 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(8 \, b \log\left(c\right)\right)\right)} \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) - 8 \, {\left(6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 6 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 12 \, {\left(4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 8 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 1\right)} \log\left({\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \cos\left(2 \, b \log\left(c\right)\right)^{2} + {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \sin\left(2 \, b \log\left(c\right)\right)^{2} + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, a\right) - \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, a\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right)\right) + \cos\left(2 \, b \log\left(x^{n}\right)\right)^{2} - 2 \, {\left(\cos\left(2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, a\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right)\right) + \sin\left(2 \, b \log\left(x^{n}\right)\right)^{2}\right) - 8 \, {\left({\left(\cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) - 8 \, {\left(10 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 8 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 10 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 8 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 8 \, {\left(10 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 10 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 8 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{2 \, {\left({\left(b \cos\left(8 \, b \log\left(c\right)\right)^{2} + b \sin\left(8 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)^{2} + 16 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 36 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 8 \, b n \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 16 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b \cos\left(8 \, b \log\left(c\right)\right)^{2} + b \sin\left(8 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)^{2} + 16 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 36 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 8 \, b n \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 16 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + b n + 2 \, {\left(b n \cos\left(8 \, b \log\left(c\right)\right) + 4 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} n \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) + 8 \, {\left(b n \cos\left(6 \, b \log\left(c\right)\right) + 6 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 12 \, {\left(b n \cos\left(4 \, b \log\left(c\right)\right) + 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(4 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b n \sin\left(8 \, b \log\left(c\right)\right) - 4 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} n \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) - 8 \, {\left(6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b n \sin\left(6 \, b \log\left(c\right)\right) - 6 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 12 \, {\left(4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b n \sin\left(4 \, b \log\left(c\right)\right) - 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"-1/2*(32*(cos(6*b*log(c))^2 + sin(6*b*log(c))^2)*cos(6*b*log(x^n) + 6*a)^2 + 48*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 32*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + 32*(cos(6*b*log(c))^2 + sin(6*b*log(c))^2)*sin(6*b*log(x^n) + 6*a)^2 + 48*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 32*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 + 8*((cos(8*b*log(c))*cos(6*b*log(c)) + sin(8*b*log(c))*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) + (cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + (cos(8*b*log(c))*cos(2*b*log(c)) + sin(8*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + (cos(6*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + (cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + (cos(2*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*cos(8*b*log(x^n) + 8*a) + 8*(10*(cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 8*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 10*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 8*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) + 8*(10*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 10*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 8*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + ((cos(8*b*log(c))^2 + sin(8*b*log(c))^2)*cos(8*b*log(x^n) + 8*a)^2 + 16*(cos(6*b*log(c))^2 + sin(6*b*log(c))^2)*cos(6*b*log(x^n) + 6*a)^2 + 36*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 16*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + (cos(8*b*log(c))^2 + sin(8*b*log(c))^2)*sin(8*b*log(x^n) + 8*a)^2 + 16*(cos(6*b*log(c))^2 + sin(6*b*log(c))^2)*sin(6*b*log(x^n) + 6*a)^2 + 36*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 16*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 + 2*(4*(cos(8*b*log(c))*cos(6*b*log(c)) + sin(8*b*log(c))*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) + 6*(cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*(cos(8*b*log(c))*cos(2*b*log(c)) + sin(8*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 4*(cos(6*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + 6*(cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*(cos(2*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(8*b*log(c)))*cos(8*b*log(x^n) + 8*a) + 8*(6*(cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 6*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) + 12*(4*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 4*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 8*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 2*(4*(cos(6*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) + 6*(cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*(cos(2*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 4*(cos(8*b*log(c))*cos(6*b*log(c)) + sin(8*b*log(c))*sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) - 6*(cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 4*(cos(8*b*log(c))*cos(2*b*log(c)) + sin(8*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(8*b*log(c)))*sin(8*b*log(x^n) + 8*a) - 8*(6*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 6*(cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 4*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) - 12*(4*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 4*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 8*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 1)*log((cos(2*a)^2 + sin(2*a)^2)*cos(2*b*log(c))^2 + (cos(2*a)^2 + sin(2*a)^2)*sin(2*b*log(c))^2 + 2*(cos(2*b*log(c))*cos(2*a) - sin(2*b*log(c))*sin(2*a))*cos(2*b*log(x^n)) + cos(2*b*log(x^n))^2 - 2*(cos(2*a)*sin(2*b*log(c)) + cos(2*b*log(c))*sin(2*a))*sin(2*b*log(x^n)) + sin(2*b*log(x^n))^2) - 8*((cos(6*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) + (cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + (cos(2*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - (cos(8*b*log(c))*cos(6*b*log(c)) + sin(8*b*log(c))*sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) - (cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - (cos(8*b*log(c))*cos(2*b*log(c)) + sin(8*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*sin(8*b*log(x^n) + 8*a) - 8*(10*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 8*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 10*(cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 8*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) - 8*(10*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 10*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 8*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/((b*cos(8*b*log(c))^2 + b*sin(8*b*log(c))^2)*n*cos(8*b*log(x^n) + 8*a)^2 + 16*(b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*cos(6*b*log(x^n) + 6*a)^2 + 36*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2 + 8*b*n*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 16*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 + (b*cos(8*b*log(c))^2 + b*sin(8*b*log(c))^2)*n*sin(8*b*log(x^n) + 8*a)^2 + 16*(b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*sin(6*b*log(x^n) + 6*a)^2 + 36*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*sin(4*b*log(x^n) + 4*a)^2 - 8*b*n*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 16*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + b*n + 2*(b*n*cos(8*b*log(c)) + 4*(b*cos(8*b*log(c))*cos(6*b*log(c)) + b*sin(8*b*log(c))*sin(6*b*log(c)))*n*cos(6*b*log(x^n) + 6*a) + 6*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) + 4*(b*cos(8*b*log(c))*cos(2*b*log(c)) + b*sin(8*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + 4*(b*cos(6*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(6*b*log(c)))*n*sin(6*b*log(x^n) + 6*a) + 6*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) + 4*(b*cos(2*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(8*b*log(x^n) + 8*a) + 8*(b*n*cos(6*b*log(c)) + 6*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) + 4*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + 6*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) + 4*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 12*(b*n*cos(4*b*log(c)) + 4*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + 4*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 2*(4*(b*cos(6*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(6*b*log(c)))*n*cos(6*b*log(x^n) + 6*a) + 6*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) + 4*(b*cos(2*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + b*n*sin(8*b*log(c)) - 4*(b*cos(8*b*log(c))*cos(6*b*log(c)) + b*sin(8*b*log(c))*sin(6*b*log(c)))*n*sin(6*b*log(x^n) + 6*a) - 6*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) - 4*(b*cos(8*b*log(c))*cos(2*b*log(c)) + b*sin(8*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(8*b*log(x^n) + 8*a) - 8*(6*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) + 4*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + b*n*sin(6*b*log(c)) - 6*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) - 4*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) - 12*(4*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + b*n*sin(4*b*log(c)) - 4*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","B",0
175,0,0,0,0.000000," ","integrate((e*x)^m*tan(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\int \left(e x\right)^{m} \tan\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate((e*x)^m*tan((b*log(c*x^n) + a)*d), x)","F",0
176,-1,0,0,0.000000," ","integrate((e*x)^m*tan(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
177,-1,0,0,0.000000," ","integrate((e*x)^m*tan(d*(a+b*log(c*x^n)))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,0,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))^p,x, algorithm=""maxima"")","\int \tan\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate(tan((b*log(c*x^n) + a)*d)^p, x)","F",0
179,0,0,0,0.000000," ","integrate((e*x)^m*tan(d*(a+b*log(c*x^n)))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \tan\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*tan((b*log(c*x^n) + a)*d)^p, x)","F",0
180,0,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""maxima"")","\int \frac{\tan\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(tan(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
181,0,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\tan\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(tan(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
182,0,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\tan\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(tan(b*log(c*x^n) + a))/x, x)","F",0
183,0,0,0,0.000000," ","integrate(1/x/tan(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x \sqrt{\tan\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(tan(b*log(c*x^n) + a))), x)","F",0
184,0,0,0,0.000000," ","integrate(1/x/tan(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x \tan\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*tan(b*log(c*x^n) + a)^(3/2)), x)","F",0
185,0,0,0,0.000000," ","integrate(1/x/tan(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x \tan\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*tan(b*log(c*x^n) + a)^(5/2)), x)","F",0
186,1,136,0,0.343275," ","integrate(x^3*cot(a+I*log(x)),x, algorithm=""maxima"")","-\frac{1}{4} i \, x^{4} - x^{2} {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} + \frac{1}{4} \, {\left(4 \, \cos\left(4 \, a\right) + 4 i \, \sin\left(4 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) - \frac{1}{4} \, {\left(4 \, \cos\left(4 \, a\right) + 4 i \, \sin\left(4 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right) - \frac{1}{2} \, {\left(i \, \cos\left(4 \, a\right) - \sin\left(4 \, a\right)\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) - \frac{1}{2} \, {\left(i \, \cos\left(4 \, a\right) - \sin\left(4 \, a\right)\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)"," ",0,"-1/4*I*x^4 - x^2*(I*cos(2*a) - sin(2*a)) + 1/4*(4*cos(4*a) + 4*I*sin(4*a))*arctan2(sin(a), x + cos(a)) - 1/4*(4*cos(4*a) + 4*I*sin(4*a))*arctan2(sin(a), x - cos(a)) - 1/2*(I*cos(4*a) - sin(4*a))*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) - 1/2*(I*cos(4*a) - sin(4*a))*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2)","B",0
187,1,130,0,0.376270," ","integrate(x^2*cot(a+I*log(x)),x, algorithm=""maxima"")","-\frac{1}{3} i \, x^{3} + 2 \, x {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} - \frac{1}{6} \, {\left(6 \, \cos\left(3 \, a\right) + 6 i \, \sin\left(3 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) - \frac{1}{6} \, {\left(6 \, \cos\left(3 \, a\right) + 6 i \, \sin\left(3 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right) + \frac{1}{2} \, {\left(i \, \cos\left(3 \, a\right) - \sin\left(3 \, a\right)\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) + \frac{1}{2} \, {\left(-i \, \cos\left(3 \, a\right) + \sin\left(3 \, a\right)\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)"," ",0,"-1/3*I*x^3 + 2*x*(-I*cos(2*a) + sin(2*a)) - 1/6*(6*cos(3*a) + 6*I*sin(3*a))*arctan2(sin(a), x + cos(a)) - 1/6*(6*cos(3*a) + 6*I*sin(3*a))*arctan2(sin(a), x - cos(a)) + 1/2*(I*cos(3*a) - sin(3*a))*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) + 1/2*(-I*cos(3*a) + sin(3*a))*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2)","B",0
188,1,114,0,0.340864," ","integrate(x*cot(a+I*log(x)),x, algorithm=""maxima"")","-\frac{1}{2} i \, x^{2} + \frac{1}{2} \, {\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) - \frac{1}{2} \, {\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right) + \frac{1}{2} \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) + \frac{1}{2} \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)"," ",0,"-1/2*I*x^2 + 1/2*(2*cos(2*a) + 2*I*sin(2*a))*arctan2(sin(a), x + cos(a)) - 1/2*(2*cos(2*a) + 2*I*sin(2*a))*arctan2(sin(a), x - cos(a)) + 1/2*(-I*cos(2*a) + sin(2*a))*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) + 1/2*(-I*cos(2*a) + sin(2*a))*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2)","B",0
189,1,98,0,0.358342," ","integrate(cot(a+I*log(x)),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(2 \, \cos\left(a\right) + 2 i \, \sin\left(a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) - \frac{1}{2} \, {\left(2 \, \cos\left(a\right) + 2 i \, \sin\left(a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right) - \frac{1}{2} \, {\left(-i \, \cos\left(a\right) + \sin\left(a\right)\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) - \frac{1}{2} \, {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) - i \, x"," ",0,"-1/2*(2*cos(a) + 2*I*sin(a))*arctan2(sin(a), x + cos(a)) - 1/2*(2*cos(a) + 2*I*sin(a))*arctan2(sin(a), x - cos(a)) - 1/2*(-I*cos(a) + sin(a))*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) - 1/2*(I*cos(a) - sin(a))*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2) - I*x","B",0
190,1,10,0,0.346927," ","integrate(cot(a+I*log(x))/x,x, algorithm=""maxima"")","-i \, \log\left(\sin\left(a + i \, \log\left(x\right)\right)\right)"," ",0,"-I*log(sin(a + I*log(x)))","A",0
191,1,103,0,0.376725," ","integrate(cot(a+I*log(x))/x^2,x, algorithm=""maxima"")","\frac{x {\left(i \, \cos\left(a\right) + \sin\left(a\right)\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) + x {\left(-i \, \cos\left(a\right) - \sin\left(a\right)\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) - {\left({\left(2 \, \cos\left(a\right) - 2 i \, \sin\left(a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) + {\left(2 \, \cos\left(a\right) - 2 i \, \sin\left(a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right)\right)} x - 2 i}{2 \, x}"," ",0,"1/2*(x*(I*cos(a) + sin(a))*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) + x*(-I*cos(a) - sin(a))*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2) - ((2*cos(a) - 2*I*sin(a))*arctan2(sin(a), x + cos(a)) + (2*cos(a) - 2*I*sin(a))*arctan2(sin(a), x - cos(a)))*x - 2*I)/x","B",0
192,1,139,0,0.339534," ","integrate(cot(a+I*log(x))/x^3,x, algorithm=""maxima"")","-\frac{x^{2} {\left(i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) + x^{2} {\left(i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) - {\left({\left(2 \, \cos\left(2 \, a\right) - 2 i \, \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) - {\left(2 \, \cos\left(2 \, a\right) - 2 i \, \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right) + 4 \, {\left(i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \log\left(x\right)\right)} x^{2} + i}{2 \, x^{2}}"," ",0,"-1/2*(x^2*(I*cos(2*a) + sin(2*a))*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) + x^2*(I*cos(2*a) + sin(2*a))*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2) - ((2*cos(2*a) - 2*I*sin(2*a))*arctan2(sin(a), x + cos(a)) - (2*cos(2*a) - 2*I*sin(2*a))*arctan2(sin(a), x - cos(a)) + 4*(I*cos(2*a) + sin(2*a))*log(x))*x^2 + I)/x^2","B",0
193,1,142,0,0.344881," ","integrate(cot(a+I*log(x))/x^4,x, algorithm=""maxima"")","-\frac{3 \, x^{3} {\left(-i \, \cos\left(3 \, a\right) - \sin\left(3 \, a\right)\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) + 3 \, x^{3} {\left(i \, \cos\left(3 \, a\right) + \sin\left(3 \, a\right)\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) + {\left({\left(6 \, \cos\left(3 \, a\right) - 6 i \, \sin\left(3 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) + {\left(6 \, \cos\left(3 \, a\right) - 6 i \, \sin\left(3 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right)\right)} x^{3} + 12 \, x^{2} {\left(i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} + 2 i}{6 \, x^{3}}"," ",0,"-1/6*(3*x^3*(-I*cos(3*a) - sin(3*a))*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) + 3*x^3*(I*cos(3*a) + sin(3*a))*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2) + ((6*cos(3*a) - 6*I*sin(3*a))*arctan2(sin(a), x + cos(a)) + (6*cos(3*a) - 6*I*sin(3*a))*arctan2(sin(a), x - cos(a)))*x^3 + 12*x^2*(I*cos(2*a) + sin(2*a)) + 2*I)/x^3","B",0
194,1,362,0,0.354106," ","integrate(x^3*cot(a+I*log(x))^2,x, algorithm=""maxima"")","-\frac{x^{6} + x^{4} {\left(7 \, \cos\left(2 \, a\right) + 7 i \, \sin\left(2 \, a\right)\right)} - {\left(16 \, {\left(-i \, \cos\left(4 \, a\right) + \sin\left(4 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) + 16 \, {\left(i \, \cos\left(4 \, a\right) - \sin\left(4 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right) + 8 \, \cos\left(4 \, a\right) + 8 i \, \sin\left(4 \, a\right)\right)} x^{2} - {\left(16 \, {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} \cos\left(4 \, a\right) - {\left(16 \, \cos\left(2 \, a\right) + 16 i \, \sin\left(2 \, a\right)\right)} \sin\left(4 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) - {\left(16 \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \cos\left(4 \, a\right) + {\left(16 \, \cos\left(2 \, a\right) + 16 i \, \sin\left(2 \, a\right)\right)} \sin\left(4 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right) + {\left(x^{2} {\left(8 \, \cos\left(4 \, a\right) + 8 i \, \sin\left(4 \, a\right)\right)} - {\left(8 \, \cos\left(2 \, a\right) + 8 i \, \sin\left(2 \, a\right)\right)} \cos\left(4 \, a\right) - 8 \, {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} \sin\left(4 \, a\right)\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) + {\left(x^{2} {\left(8 \, \cos\left(4 \, a\right) + 8 i \, \sin\left(4 \, a\right)\right)} - {\left(8 \, \cos\left(2 \, a\right) + 8 i \, \sin\left(2 \, a\right)\right)} \cos\left(4 \, a\right) - 8 \, {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} \sin\left(4 \, a\right)\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) - 8 \, \cos\left(6 \, a\right) - 8 i \, \sin\left(6 \, a\right)}{4 \, x^{2} - 4 \, \cos\left(2 \, a\right) - 4 i \, \sin\left(2 \, a\right)}"," ",0,"-(x^6 + x^4*(7*cos(2*a) + 7*I*sin(2*a)) - (16*(-I*cos(4*a) + sin(4*a))*arctan2(sin(a), x + cos(a)) + 16*(I*cos(4*a) - sin(4*a))*arctan2(sin(a), x - cos(a)) + 8*cos(4*a) + 8*I*sin(4*a))*x^2 - (16*(I*cos(2*a) - sin(2*a))*cos(4*a) - (16*cos(2*a) + 16*I*sin(2*a))*sin(4*a))*arctan2(sin(a), x + cos(a)) - (16*(-I*cos(2*a) + sin(2*a))*cos(4*a) + (16*cos(2*a) + 16*I*sin(2*a))*sin(4*a))*arctan2(sin(a), x - cos(a)) + (x^2*(8*cos(4*a) + 8*I*sin(4*a)) - (8*cos(2*a) + 8*I*sin(2*a))*cos(4*a) - 8*(I*cos(2*a) - sin(2*a))*sin(4*a))*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) + (x^2*(8*cos(4*a) + 8*I*sin(4*a)) - (8*cos(2*a) + 8*I*sin(2*a))*cos(4*a) - 8*(I*cos(2*a) - sin(2*a))*sin(4*a))*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2) - 8*cos(6*a) - 8*I*sin(6*a))/(4*x^2 - 4*cos(2*a) - 4*I*sin(2*a))","B",0
195,1,352,0,0.355276," ","integrate(x^2*cot(a+I*log(x))^2,x, algorithm=""maxima"")","-\frac{2 \, x^{5} + x^{3} {\left(22 \, \cos\left(2 \, a\right) + 22 i \, \sin\left(2 \, a\right)\right)} + 18 \, {\left({\left(-i \, \cos\left(3 \, a\right) + \sin\left(3 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) + {\left(-i \, \cos\left(3 \, a\right) + \sin\left(3 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right)\right)} x^{2} - x {\left(36 \, \cos\left(4 \, a\right) + 36 i \, \sin\left(4 \, a\right)\right)} + {\left(18 \, {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} \cos\left(3 \, a\right) - {\left(18 \, \cos\left(2 \, a\right) + 18 i \, \sin\left(2 \, a\right)\right)} \sin\left(3 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) + {\left(18 \, {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} \cos\left(3 \, a\right) - {\left(18 \, \cos\left(2 \, a\right) + 18 i \, \sin\left(2 \, a\right)\right)} \sin\left(3 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right) - {\left(x^{2} {\left(9 \, \cos\left(3 \, a\right) + 9 i \, \sin\left(3 \, a\right)\right)} - {\left(9 \, \cos\left(2 \, a\right) + 9 i \, \sin\left(2 \, a\right)\right)} \cos\left(3 \, a\right) - 9 \, {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} \sin\left(3 \, a\right)\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) + {\left(x^{2} {\left(9 \, \cos\left(3 \, a\right) + 9 i \, \sin\left(3 \, a\right)\right)} - {\left(9 \, \cos\left(2 \, a\right) + 9 i \, \sin\left(2 \, a\right)\right)} \cos\left(3 \, a\right) + 9 \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \sin\left(3 \, a\right)\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)}{6 \, x^{2} - 6 \, \cos\left(2 \, a\right) - 6 i \, \sin\left(2 \, a\right)}"," ",0,"-(2*x^5 + x^3*(22*cos(2*a) + 22*I*sin(2*a)) + 18*((-I*cos(3*a) + sin(3*a))*arctan2(sin(a), x + cos(a)) + (-I*cos(3*a) + sin(3*a))*arctan2(sin(a), x - cos(a)))*x^2 - x*(36*cos(4*a) + 36*I*sin(4*a)) + (18*(I*cos(2*a) - sin(2*a))*cos(3*a) - (18*cos(2*a) + 18*I*sin(2*a))*sin(3*a))*arctan2(sin(a), x + cos(a)) + (18*(I*cos(2*a) - sin(2*a))*cos(3*a) - (18*cos(2*a) + 18*I*sin(2*a))*sin(3*a))*arctan2(sin(a), x - cos(a)) - (x^2*(9*cos(3*a) + 9*I*sin(3*a)) - (9*cos(2*a) + 9*I*sin(2*a))*cos(3*a) - 9*(I*cos(2*a) - sin(2*a))*sin(3*a))*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) + (x^2*(9*cos(3*a) + 9*I*sin(3*a)) - (9*cos(2*a) + 9*I*sin(2*a))*cos(3*a) + 9*(-I*cos(2*a) + sin(2*a))*sin(3*a))*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2))/(6*x^2 - 6*cos(2*a) - 6*I*sin(2*a))","B",0
196,1,296,0,0.349808," ","integrate(x*cot(a+I*log(x))^2,x, algorithm=""maxima"")","-\frac{x^{4} - {\left(4 \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) + 4 \, {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right) + \cos\left(2 \, a\right) + i \, \sin\left(2 \, a\right)\right)} x^{2} + {\left(-4 i \, \cos\left(2 \, a\right)^{2} + 8 \, \cos\left(2 \, a\right) \sin\left(2 \, a\right) + 4 i \, \sin\left(2 \, a\right)^{2}\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) + {\left(4 i \, \cos\left(2 \, a\right)^{2} - 8 \, \cos\left(2 \, a\right) \sin\left(2 \, a\right) - 4 i \, \sin\left(2 \, a\right)^{2}\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right) + {\left(x^{2} {\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} - 2 \, \cos\left(2 \, a\right)^{2} - 4 i \, \cos\left(2 \, a\right) \sin\left(2 \, a\right) + 2 \, \sin\left(2 \, a\right)^{2}\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) + {\left(x^{2} {\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} - 2 \, \cos\left(2 \, a\right)^{2} - 4 i \, \cos\left(2 \, a\right) \sin\left(2 \, a\right) + 2 \, \sin\left(2 \, a\right)^{2}\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) - 4 \, \cos\left(4 \, a\right) - 4 i \, \sin\left(4 \, a\right)}{2 \, x^{2} - 2 \, \cos\left(2 \, a\right) - 2 i \, \sin\left(2 \, a\right)}"," ",0,"-(x^4 - (4*(-I*cos(2*a) + sin(2*a))*arctan2(sin(a), x + cos(a)) + 4*(I*cos(2*a) - sin(2*a))*arctan2(sin(a), x - cos(a)) + cos(2*a) + I*sin(2*a))*x^2 + (-4*I*cos(2*a)^2 + 8*cos(2*a)*sin(2*a) + 4*I*sin(2*a)^2)*arctan2(sin(a), x + cos(a)) + (4*I*cos(2*a)^2 - 8*cos(2*a)*sin(2*a) - 4*I*sin(2*a)^2)*arctan2(sin(a), x - cos(a)) + (x^2*(2*cos(2*a) + 2*I*sin(2*a)) - 2*cos(2*a)^2 - 4*I*cos(2*a)*sin(2*a) + 2*sin(2*a)^2)*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) + (x^2*(2*cos(2*a) + 2*I*sin(2*a)) - 2*cos(2*a)^2 - 4*I*cos(2*a)*sin(2*a) + 2*sin(2*a)^2)*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2) - 4*cos(4*a) - 4*I*sin(4*a))/(2*x^2 - 2*cos(2*a) - 2*I*sin(2*a))","B",0
197,1,278,0,0.375503," ","integrate(cot(a+I*log(x))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left({\left(-i \, \cos\left(a\right) + \sin\left(a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) + {\left(-i \, \cos\left(a\right) + \sin\left(a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right)\right)} x^{2} + 2 \, x^{3} - x {\left(6 \, \cos\left(2 \, a\right) + 6 i \, \sin\left(2 \, a\right)\right)} + {\left(2 \, {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \cos\left(2 \, a\right) - {\left(2 \, \cos\left(a\right) + 2 i \, \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) + {\left(2 \, {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \cos\left(2 \, a\right) - {\left(2 \, \cos\left(a\right) + 2 i \, \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right) - {\left(x^{2} {\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} - {\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} \cos\left(2 \, a\right) + {\left(-i \, \cos\left(a\right) + \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) + {\left(x^{2} {\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} - {\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} \cos\left(2 \, a\right) - {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)}{2 \, x^{2} - 2 \, \cos\left(2 \, a\right) - 2 i \, \sin\left(2 \, a\right)}"," ",0,"-(2*((-I*cos(a) + sin(a))*arctan2(sin(a), x + cos(a)) + (-I*cos(a) + sin(a))*arctan2(sin(a), x - cos(a)))*x^2 + 2*x^3 - x*(6*cos(2*a) + 6*I*sin(2*a)) + (2*(I*cos(a) - sin(a))*cos(2*a) - (2*cos(a) + 2*I*sin(a))*sin(2*a))*arctan2(sin(a), x + cos(a)) + (2*(I*cos(a) - sin(a))*cos(2*a) - (2*cos(a) + 2*I*sin(a))*sin(2*a))*arctan2(sin(a), x - cos(a)) - (x^2*(cos(a) + I*sin(a)) - (cos(a) + I*sin(a))*cos(2*a) + (-I*cos(a) + sin(a))*sin(2*a))*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) + (x^2*(cos(a) + I*sin(a)) - (cos(a) + I*sin(a))*cos(2*a) - (I*cos(a) - sin(a))*sin(2*a))*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2))/(2*x^2 - 2*cos(2*a) - 2*I*sin(2*a))","B",0
198,1,19,0,0.415475," ","integrate(cot(a+I*log(x))^2/x,x, algorithm=""maxima"")","i \, a + \frac{i}{\tan\left(a + i \, \log\left(x\right)\right)} - \log\left(x\right)"," ",0,"I*a + I/tan(a + I*log(x)) - log(x)","A",0
199,1,285,0,0.394392," ","integrate(cot(a+I*log(x))^2/x^2,x, algorithm=""maxima"")","-\frac{2 \, {\left({\left(i \, \cos\left(a\right) + \sin\left(a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) + {\left(i \, \cos\left(a\right) + \sin\left(a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right)\right)} x^{3} + {\left({\left(2 \, {\left(-i \, \cos\left(a\right) - \sin\left(a\right)\right)} \cos\left(2 \, a\right) + {\left(2 \, \cos\left(a\right) - 2 i \, \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(a\right), x + \cos\left(a\right)\right) + {\left(2 \, {\left(-i \, \cos\left(a\right) - \sin\left(a\right)\right)} \cos\left(2 \, a\right) + {\left(2 \, \cos\left(a\right) - 2 i \, \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} \arctan\left(\sin\left(a\right), x - \cos\left(a\right)\right)\right)} x - 6 \, x^{2} + {\left(x^{3} {\left(\cos\left(a\right) - i \, \sin\left(a\right)\right)} - {\left({\left(\cos\left(a\right) - i \, \sin\left(a\right)\right)} \cos\left(2 \, a\right) + {\left(i \, \cos\left(a\right) + \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} x\right)} \log\left(x^{2} + 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) - {\left(x^{3} {\left(\cos\left(a\right) - i \, \sin\left(a\right)\right)} - {\left({\left(\cos\left(a\right) - i \, \sin\left(a\right)\right)} \cos\left(2 \, a\right) - {\left(-i \, \cos\left(a\right) - \sin\left(a\right)\right)} \sin\left(2 \, a\right)\right)} x\right)} \log\left(x^{2} - 2 \, x \cos\left(a\right) + \cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right) + 2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)}{2 \, x^{3} - x {\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)}}"," ",0,"-(2*((I*cos(a) + sin(a))*arctan2(sin(a), x + cos(a)) + (I*cos(a) + sin(a))*arctan2(sin(a), x - cos(a)))*x^3 + ((2*(-I*cos(a) - sin(a))*cos(2*a) + (2*cos(a) - 2*I*sin(a))*sin(2*a))*arctan2(sin(a), x + cos(a)) + (2*(-I*cos(a) - sin(a))*cos(2*a) + (2*cos(a) - 2*I*sin(a))*sin(2*a))*arctan2(sin(a), x - cos(a)))*x - 6*x^2 + (x^3*(cos(a) - I*sin(a)) - ((cos(a) - I*sin(a))*cos(2*a) + (I*cos(a) + sin(a))*sin(2*a))*x)*log(x^2 + 2*x*cos(a) + cos(a)^2 + sin(a)^2) - (x^3*(cos(a) - I*sin(a)) - ((cos(a) - I*sin(a))*cos(2*a) - (-I*cos(a) - sin(a))*sin(2*a))*x)*log(x^2 - 2*x*cos(a) + cos(a)^2 + sin(a)^2) + 2*cos(2*a) + 2*I*sin(2*a))/(2*x^3 - x*(2*cos(2*a) + 2*I*sin(2*a)))","B",0
200,-2,0,0,0.000000," ","integrate(cot(a+I*log(x))^2/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
201,0,0,0,0.000000," ","integrate((e*x)^m*cot(a+I*log(x)),x, algorithm=""maxima"")","\int \left(e x\right)^{m} \cot\left(a + i \, \log\left(x\right)\right)\,{d x}"," ",0,"integrate((e*x)^m*cot(a + I*log(x)), x)","F",0
202,0,0,0,0.000000," ","integrate((e*x)^m*cot(a+I*log(x))^2,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \cot\left(a + i \, \log\left(x\right)\right)^{2}\,{d x}"," ",0,"integrate((e*x)^m*cot(a + I*log(x))^2, x)","F",0
203,0,0,0,0.000000," ","integrate((e*x)^m*cot(a+I*log(x))^3,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \cot\left(a + i \, \log\left(x\right)\right)^{3}\,{d x}"," ",0,"integrate((e*x)^m*cot(a + I*log(x))^3, x)","F",0
204,0,0,0,0.000000," ","integrate(cot(a+b*log(x))^p,x, algorithm=""maxima"")","\int \cot\left(b \log\left(x\right) + a\right)^{p}\,{d x}"," ",0,"integrate(cot(b*log(x) + a)^p, x)","F",0
205,0,0,0,0.000000," ","integrate((e*x)^m*cot(a+b*log(x))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \cot\left(b \log\left(x\right) + a\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*cot(b*log(x) + a)^p, x)","F",0
206,0,0,0,0.000000," ","integrate(cot(a+log(x))^p,x, algorithm=""maxima"")","\int \cot\left(a + \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(cot(a + log(x))^p, x)","F",0
207,0,0,0,0.000000," ","integrate(cot(a+2*log(x))^p,x, algorithm=""maxima"")","\int \cot\left(a + 2 \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(cot(a + 2*log(x))^p, x)","F",0
208,0,0,0,0.000000," ","integrate(cot(a+3*log(x))^p,x, algorithm=""maxima"")","\int \cot\left(a + 3 \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(cot(a + 3*log(x))^p, x)","F",0
209,0,0,0,0.000000," ","integrate(x^3*cot(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\int x^{3} \cot\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x^3*cot((b*log(c*x^n) + a)*d), x)","F",0
210,0,0,0,0.000000," ","integrate(x^2*cot(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\int x^{2} \cot\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x^2*cot((b*log(c*x^n) + a)*d), x)","F",0
211,0,0,0,0.000000," ","integrate(x*cot(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\int x \cot\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x*cot((b*log(c*x^n) + a)*d), x)","F",0
212,0,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\int \cot\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(cot((b*log(c*x^n) + a)*d), x)","F",0
213,1,24,0,0.321235," ","integrate(cot(d*(a+b*log(c*x^n)))/x,x, algorithm=""maxima"")","\frac{\log\left(\sin\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\right)}{b d n}"," ",0,"log(sin((b*log(c*x^n) + a)*d))/(b*d*n)","A",0
214,0,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""maxima"")","\int \frac{\cot\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)}{x^{2}}\,{d x}"," ",0,"integrate(cot((b*log(c*x^n) + a)*d)/x^2, x)","F",0
215,0,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""maxima"")","\int \frac{\cot\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)}{x^{3}}\,{d x}"," ",0,"integrate(cot((b*log(c*x^n) + a)*d)/x^3, x)","F",0
216,-1,0,0,0.000000," ","integrate(x^3*cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
217,-1,0,0,0.000000," ","integrate(x^2*cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
218,-1,0,0,0.000000," ","integrate(x*cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
219,-1,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
220,1,322,0,0.947516," ","integrate(cot(d*(a+b*log(c*x^n)))^2/x,x, algorithm=""maxima"")","\frac{{\left(b d \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b d \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} \log\left(x\right) + {\left(b d \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b d \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n \log\left(x\right) \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + b d n \log\left(x\right) - 2 \, {\left(b d n \cos\left(2 \, b d \log\left(c\right)\right) \log\left(x\right) - \sin\left(2 \, b d \log\left(c\right)\right)\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + 2 \, {\left(b d n \log\left(x\right) \sin\left(2 \, b d \log\left(c\right)\right) + \cos\left(2 \, b d \log\left(c\right)\right)\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)}{2 \, b d n \cos\left(2 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, b d n \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - {\left(b d \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b d \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} - {\left(b d \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b d \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} - b d n}"," ",0,"((b*d*cos(2*b*d*log(c))^2 + b*d*sin(2*b*d*log(c))^2)*n*cos(2*b*d*log(x^n) + 2*a*d)^2*log(x) + (b*d*cos(2*b*d*log(c))^2 + b*d*sin(2*b*d*log(c))^2)*n*log(x)*sin(2*b*d*log(x^n) + 2*a*d)^2 + b*d*n*log(x) - 2*(b*d*n*cos(2*b*d*log(c))*log(x) - sin(2*b*d*log(c)))*cos(2*b*d*log(x^n) + 2*a*d) + 2*(b*d*n*log(x)*sin(2*b*d*log(c)) + cos(2*b*d*log(c)))*sin(2*b*d*log(x^n) + 2*a*d))/(2*b*d*n*cos(2*b*d*log(c))*cos(2*b*d*log(x^n) + 2*a*d) - 2*b*d*n*sin(2*b*d*log(c))*sin(2*b*d*log(x^n) + 2*a*d) - (b*d*cos(2*b*d*log(c))^2 + b*d*sin(2*b*d*log(c))^2)*n*cos(2*b*d*log(x^n) + 2*a*d)^2 - (b*d*cos(2*b*d*log(c))^2 + b*d*sin(2*b*d*log(c))^2)*n*sin(2*b*d*log(x^n) + 2*a*d)^2 - b*d*n)","B",0
221,-1,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))^2/x^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
222,-1,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))^2/x^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
223,1,1713,0,1.894203," ","integrate(cot(a+b*log(c*x^n))^3/x,x, algorithm=""maxima"")","-\frac{8 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 8 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 4 \, {\left({\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 2 \, {\left(2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 1\right)} \log\left({\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \cos\left(b \log\left(c\right)\right)^{2} + {\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \sin\left(b \log\left(c\right)\right)^{2} + 2 \, {\left(\cos\left(b \log\left(c\right)\right) \cos\left(a\right) - \sin\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \cos\left(b \log\left(x^{n}\right)\right) + \cos\left(b \log\left(x^{n}\right)\right)^{2} - 2 \, {\left(\cos\left(a\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \sin\left(b \log\left(x^{n}\right)\right) + \sin\left(b \log\left(x^{n}\right)\right)^{2}\right) + {\left({\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 2 \, {\left(2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 1\right)} \log\left({\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \cos\left(b \log\left(c\right)\right)^{2} + {\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \sin\left(b \log\left(c\right)\right)^{2} - 2 \, {\left(\cos\left(b \log\left(c\right)\right) \cos\left(a\right) - \sin\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \cos\left(b \log\left(x^{n}\right)\right) + \cos\left(b \log\left(x^{n}\right)\right)^{2} + 2 \, {\left(\cos\left(a\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \sin\left(b \log\left(x^{n}\right)\right) + \sin\left(b \log\left(x^{n}\right)\right)^{2}\right) + 4 \, {\left({\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{2 \, {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 4 \, b n \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, b n \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + b n + 2 \, {\left(b n \cos\left(4 \, b \log\left(c\right)\right) - 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - b n \sin\left(4 \, b \log\left(c\right)\right) - 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"-1/2*(8*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + 8*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 - 4*((cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + (cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 4*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + ((cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + (cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 - 2*(2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 4*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 2*(2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 1)*log((cos(a)^2 + sin(a)^2)*cos(b*log(c))^2 + (cos(a)^2 + sin(a)^2)*sin(b*log(c))^2 + 2*(cos(b*log(c))*cos(a) - sin(b*log(c))*sin(a))*cos(b*log(x^n)) + cos(b*log(x^n))^2 - 2*(cos(a)*sin(b*log(c)) + cos(b*log(c))*sin(a))*sin(b*log(x^n)) + sin(b*log(x^n))^2) + ((cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + (cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 - 2*(2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 4*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 2*(2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 1)*log((cos(a)^2 + sin(a)^2)*cos(b*log(c))^2 + (cos(a)^2 + sin(a)^2)*sin(b*log(c))^2 - 2*(cos(b*log(c))*cos(a) - sin(b*log(c))*sin(a))*cos(b*log(x^n)) + cos(b*log(x^n))^2 + 2*(cos(a)*sin(b*log(c)) + cos(b*log(c))*sin(a))*sin(b*log(x^n)) + sin(b*log(x^n))^2) + 4*((cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - (cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a) + 4*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/((b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2 - 4*b*n*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 4*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 + (b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*sin(4*b*log(x^n) + 4*a)^2 + 4*b*n*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 4*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + b*n + 2*(b*n*cos(4*b*log(c)) - 2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - 2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) + 2*(2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - b*n*sin(4*b*log(c)) - 2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","B",0
224,1,2172,0,0.751248," ","integrate(cot(a+b*log(c*x^n))^4/x,x, algorithm=""maxima"")","\frac{3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} \log\left(x\right) + 27 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} \log\left(x\right) + 27 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} \log\left(x\right) + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \log\left(x\right) \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 27 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \log\left(x\right) \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 27 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \log\left(x\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 3 \, b n \log\left(x\right) - 2 \, {\left(3 \, b n \cos\left(6 \, b \log\left(c\right)\right) \log\left(x\right) + 3 \, {\left(3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) - 2 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) - 2 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(3 \, b n \cos\left(4 \, b \log\left(c\right)\right) \log\left(x\right) - 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \log\left(x\right) - 9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 6 \, {\left(3 \, b n \cos\left(2 \, b \log\left(c\right)\right) \log\left(x\right) - 2 \, \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(3 \, b n \log\left(x\right) \sin\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) - 2 \, \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) - 2 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, \cos\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \log\left(x\right) - 3 \, b n \log\left(x\right) \sin\left(4 \, b \log\left(c\right)\right) - 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \log\left(x\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, \cos\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 6 \, {\left(3 \, b n \log\left(x\right) \sin\left(2 \, b \log\left(c\right)\right) + 2 \, \cos\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{3 \, {\left({\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 6 \, b n \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 6 \, b n \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + b n - 2 \, {\left(b n \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b n \cos\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b n \sin\left(6 \, b \log\left(c\right)\right) - 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - b n \sin\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"1/3*(3*(b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*cos(6*b*log(x^n) + 6*a)^2*log(x) + 27*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2*log(x) + 27*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2*log(x) + 3*(b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*log(x)*sin(6*b*log(x^n) + 6*a)^2 + 27*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*log(x)*sin(4*b*log(x^n) + 4*a)^2 + 27*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*log(x)*sin(2*b*log(x^n) + 2*a)^2 + 3*b*n*log(x) - 2*(3*b*n*cos(6*b*log(c))*log(x) + 3*(3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*log(x) - 2*cos(4*b*log(c))*sin(6*b*log(c)) + 2*cos(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 3*(3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*log(x) - 2*cos(2*b*log(c))*sin(6*b*log(c)) + 2*cos(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 3*(3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*log(x) + 2*cos(6*b*log(c))*cos(4*b*log(c)) + 2*sin(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 3*(3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*log(x) + 2*cos(6*b*log(c))*cos(2*b*log(c)) + 2*sin(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - 4*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) + 6*(3*b*n*cos(4*b*log(c))*log(x) - 9*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a)*log(x) - 9*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*log(x)*sin(2*b*log(x^n) + 2*a) - 2*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 6*(3*b*n*cos(2*b*log(c))*log(x) - 2*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*(3*b*n*log(x)*sin(6*b*log(c)) + 3*(3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*log(x) + 2*cos(6*b*log(c))*cos(4*b*log(c)) + 2*sin(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 3*(3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*log(x) + 2*cos(6*b*log(c))*cos(2*b*log(c)) + 2*sin(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 3*(3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*log(x) - 2*cos(4*b*log(c))*sin(6*b*log(c)) + 2*cos(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 3*(3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*log(x) - 2*cos(2*b*log(c))*sin(6*b*log(c)) + 2*cos(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + 4*cos(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + 6*(9*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a)*log(x) - 3*b*n*log(x)*sin(4*b*log(c)) - 9*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*log(x)*sin(2*b*log(x^n) + 2*a) - 2*cos(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 6*(3*b*n*log(x)*sin(2*b*log(c)) + 2*cos(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))/((b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*cos(6*b*log(x^n) + 6*a)^2 + 9*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2 - 6*b*n*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 9*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 + (b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*sin(6*b*log(x^n) + 6*a)^2 + 9*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*sin(4*b*log(x^n) + 4*a)^2 + 6*b*n*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 9*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + b*n - 2*(b*n*cos(6*b*log(c)) + 3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) - 3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + 3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) - 3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(b*n*cos(4*b*log(c)) - 3*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - 3*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) + 2*(3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) - 3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + b*n*sin(6*b*log(c)) - 3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) + 3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) + 6*(3*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - b*n*sin(4*b*log(c)) - 3*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","B",0
225,1,5998,0,0.583896," ","integrate(cot(a+b*log(c*x^n))^5/x,x, algorithm=""maxima"")","\frac{32 \, {\left(\cos\left(6 \, b \log\left(c\right)\right)^{2} + \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 48 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 32 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 32 \, {\left(\cos\left(6 \, b \log\left(c\right)\right)^{2} + \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 48 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 32 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 8 \, {\left({\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(\cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) - 8 \, {\left(10 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 8 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 10 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 8 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 8 \, {\left(10 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 10 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 8 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left(\cos\left(8 \, b \log\left(c\right)\right)^{2} + \sin\left(8 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)^{2} + 16 \, {\left(\cos\left(6 \, b \log\left(c\right)\right)^{2} + \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 36 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 16 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(\cos\left(8 \, b \log\left(c\right)\right)^{2} + \sin\left(8 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)^{2} + 16 \, {\left(\cos\left(6 \, b \log\left(c\right)\right)^{2} + \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 36 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 16 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 2 \, {\left(4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(8 \, b \log\left(c\right)\right)\right)} \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) - 8 \, {\left(6 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 12 \, {\left(4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 8 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(8 \, b \log\left(c\right)\right)\right)} \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) + 8 \, {\left(6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 6 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 12 \, {\left(4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 8 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 1\right)} \log\left({\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \cos\left(b \log\left(c\right)\right)^{2} + {\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \sin\left(b \log\left(c\right)\right)^{2} + 2 \, {\left(\cos\left(b \log\left(c\right)\right) \cos\left(a\right) - \sin\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \cos\left(b \log\left(x^{n}\right)\right) + \cos\left(b \log\left(x^{n}\right)\right)^{2} - 2 \, {\left(\cos\left(a\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \sin\left(b \log\left(x^{n}\right)\right) + \sin\left(b \log\left(x^{n}\right)\right)^{2}\right) + {\left({\left(\cos\left(8 \, b \log\left(c\right)\right)^{2} + \sin\left(8 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)^{2} + 16 \, {\left(\cos\left(6 \, b \log\left(c\right)\right)^{2} + \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 36 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 16 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(\cos\left(8 \, b \log\left(c\right)\right)^{2} + \sin\left(8 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)^{2} + 16 \, {\left(\cos\left(6 \, b \log\left(c\right)\right)^{2} + \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 36 \, {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 16 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 2 \, {\left(4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(8 \, b \log\left(c\right)\right)\right)} \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) - 8 \, {\left(6 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 12 \, {\left(4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 8 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(8 \, b \log\left(c\right)\right)\right)} \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) + 8 \, {\left(6 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 6 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 12 \, {\left(4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 8 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 1\right)} \log\left({\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \cos\left(b \log\left(c\right)\right)^{2} + {\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \sin\left(b \log\left(c\right)\right)^{2} - 2 \, {\left(\cos\left(b \log\left(c\right)\right) \cos\left(a\right) - \sin\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \cos\left(b \log\left(x^{n}\right)\right) + \cos\left(b \log\left(x^{n}\right)\right)^{2} + 2 \, {\left(\cos\left(a\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \sin\left(b \log\left(x^{n}\right)\right) + \sin\left(b \log\left(x^{n}\right)\right)^{2}\right) + 8 \, {\left({\left(\cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - {\left(\cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) + 8 \, {\left(10 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 8 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 10 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 8 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 8 \, {\left(10 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 10 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 8 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{2 \, {\left({\left(b \cos\left(8 \, b \log\left(c\right)\right)^{2} + b \sin\left(8 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)^{2} + 16 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 36 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 8 \, b n \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 16 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b \cos\left(8 \, b \log\left(c\right)\right)^{2} + b \sin\left(8 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)^{2} + 16 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 36 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 8 \, b n \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 16 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + b n + 2 \, {\left(b n \cos\left(8 \, b \log\left(c\right)\right) - 4 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} n \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) - 8 \, {\left(b n \cos\left(6 \, b \log\left(c\right)\right) + 6 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 12 \, {\left(b n \cos\left(4 \, b \log\left(c\right)\right) - 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(4 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(8 \, b \log\left(c\right)\right) - b \cos\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - b n \sin\left(8 \, b \log\left(c\right)\right) - 4 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(6 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right)\right)} n \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(b \cos\left(8 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(8 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right) + 8 \, {\left(6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b n \sin\left(6 \, b \log\left(c\right)\right) - 6 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 12 \, {\left(4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - b n \sin\left(4 \, b \log\left(c\right)\right) - 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"1/2*(32*(cos(6*b*log(c))^2 + sin(6*b*log(c))^2)*cos(6*b*log(x^n) + 6*a)^2 + 48*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 32*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + 32*(cos(6*b*log(c))^2 + sin(6*b*log(c))^2)*sin(6*b*log(x^n) + 6*a)^2 + 48*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 32*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 - 8*((cos(8*b*log(c))*cos(6*b*log(c)) + sin(8*b*log(c))*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) - (cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + (cos(8*b*log(c))*cos(2*b*log(c)) + sin(8*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + (cos(6*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) - (cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + (cos(2*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*cos(8*b*log(x^n) + 8*a) - 8*(10*(cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 8*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 10*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 8*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) - 8*(10*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 10*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 8*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + ((cos(8*b*log(c))^2 + sin(8*b*log(c))^2)*cos(8*b*log(x^n) + 8*a)^2 + 16*(cos(6*b*log(c))^2 + sin(6*b*log(c))^2)*cos(6*b*log(x^n) + 6*a)^2 + 36*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 16*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + (cos(8*b*log(c))^2 + sin(8*b*log(c))^2)*sin(8*b*log(x^n) + 8*a)^2 + 16*(cos(6*b*log(c))^2 + sin(6*b*log(c))^2)*sin(6*b*log(x^n) + 6*a)^2 + 36*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 16*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 - 2*(4*(cos(8*b*log(c))*cos(6*b*log(c)) + sin(8*b*log(c))*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) - 6*(cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*(cos(8*b*log(c))*cos(2*b*log(c)) + sin(8*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 4*(cos(6*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) - 6*(cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*(cos(2*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(8*b*log(c)))*cos(8*b*log(x^n) + 8*a) - 8*(6*(cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 4*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 6*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 4*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) - 12*(4*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 4*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 8*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 2*(4*(cos(6*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) - 6*(cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*(cos(2*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 4*(cos(8*b*log(c))*cos(6*b*log(c)) + sin(8*b*log(c))*sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + 6*(cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 4*(cos(8*b*log(c))*cos(2*b*log(c)) + sin(8*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(8*b*log(c)))*sin(8*b*log(x^n) + 8*a) + 8*(6*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 4*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 6*(cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + 12*(4*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 4*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 8*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 1)*log((cos(a)^2 + sin(a)^2)*cos(b*log(c))^2 + (cos(a)^2 + sin(a)^2)*sin(b*log(c))^2 + 2*(cos(b*log(c))*cos(a) - sin(b*log(c))*sin(a))*cos(b*log(x^n)) + cos(b*log(x^n))^2 - 2*(cos(a)*sin(b*log(c)) + cos(b*log(c))*sin(a))*sin(b*log(x^n)) + sin(b*log(x^n))^2) + ((cos(8*b*log(c))^2 + sin(8*b*log(c))^2)*cos(8*b*log(x^n) + 8*a)^2 + 16*(cos(6*b*log(c))^2 + sin(6*b*log(c))^2)*cos(6*b*log(x^n) + 6*a)^2 + 36*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 16*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + (cos(8*b*log(c))^2 + sin(8*b*log(c))^2)*sin(8*b*log(x^n) + 8*a)^2 + 16*(cos(6*b*log(c))^2 + sin(6*b*log(c))^2)*sin(6*b*log(x^n) + 6*a)^2 + 36*(cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 16*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 - 2*(4*(cos(8*b*log(c))*cos(6*b*log(c)) + sin(8*b*log(c))*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) - 6*(cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*(cos(8*b*log(c))*cos(2*b*log(c)) + sin(8*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 4*(cos(6*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) - 6*(cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*(cos(2*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(8*b*log(c)))*cos(8*b*log(x^n) + 8*a) - 8*(6*(cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 4*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 6*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 4*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) - 12*(4*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 4*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 8*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 2*(4*(cos(6*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) - 6*(cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*(cos(2*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 4*(cos(8*b*log(c))*cos(6*b*log(c)) + sin(8*b*log(c))*sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + 6*(cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 4*(cos(8*b*log(c))*cos(2*b*log(c)) + sin(8*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(8*b*log(c)))*sin(8*b*log(x^n) + 8*a) + 8*(6*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 4*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 6*(cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + 12*(4*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 4*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 8*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 1)*log((cos(a)^2 + sin(a)^2)*cos(b*log(c))^2 + (cos(a)^2 + sin(a)^2)*sin(b*log(c))^2 - 2*(cos(b*log(c))*cos(a) - sin(b*log(c))*sin(a))*cos(b*log(x^n)) + cos(b*log(x^n))^2 + 2*(cos(a)*sin(b*log(c)) + cos(b*log(c))*sin(a))*sin(b*log(x^n)) + sin(b*log(x^n))^2) + 8*((cos(6*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) - (cos(4*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + (cos(2*b*log(c))*sin(8*b*log(c)) - cos(8*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - (cos(8*b*log(c))*cos(6*b*log(c)) + sin(8*b*log(c))*sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + (cos(8*b*log(c))*cos(4*b*log(c)) + sin(8*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - (cos(8*b*log(c))*cos(2*b*log(c)) + sin(8*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*sin(8*b*log(x^n) + 8*a) + 8*(10*(cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 8*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 10*(cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 8*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + 8*(10*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 10*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 8*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/((b*cos(8*b*log(c))^2 + b*sin(8*b*log(c))^2)*n*cos(8*b*log(x^n) + 8*a)^2 + 16*(b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*cos(6*b*log(x^n) + 6*a)^2 + 36*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2 - 8*b*n*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 16*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 + (b*cos(8*b*log(c))^2 + b*sin(8*b*log(c))^2)*n*sin(8*b*log(x^n) + 8*a)^2 + 16*(b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*sin(6*b*log(x^n) + 6*a)^2 + 36*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*sin(4*b*log(x^n) + 4*a)^2 + 8*b*n*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 16*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + b*n + 2*(b*n*cos(8*b*log(c)) - 4*(b*cos(8*b*log(c))*cos(6*b*log(c)) + b*sin(8*b*log(c))*sin(6*b*log(c)))*n*cos(6*b*log(x^n) + 6*a) + 6*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) - 4*(b*cos(8*b*log(c))*cos(2*b*log(c)) + b*sin(8*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - 4*(b*cos(6*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(6*b*log(c)))*n*sin(6*b*log(x^n) + 6*a) + 6*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) - 4*(b*cos(2*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(8*b*log(x^n) + 8*a) - 8*(b*n*cos(6*b*log(c)) + 6*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) - 4*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + 6*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) - 4*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 12*(b*n*cos(4*b*log(c)) - 4*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - 4*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) + 2*(4*(b*cos(6*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(6*b*log(c)))*n*cos(6*b*log(x^n) + 6*a) - 6*(b*cos(4*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) + 4*(b*cos(2*b*log(c))*sin(8*b*log(c)) - b*cos(8*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - b*n*sin(8*b*log(c)) - 4*(b*cos(8*b*log(c))*cos(6*b*log(c)) + b*sin(8*b*log(c))*sin(6*b*log(c)))*n*sin(6*b*log(x^n) + 6*a) + 6*(b*cos(8*b*log(c))*cos(4*b*log(c)) + b*sin(8*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) - 4*(b*cos(8*b*log(c))*cos(2*b*log(c)) + b*sin(8*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(8*b*log(x^n) + 8*a) + 8*(6*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) - 4*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + b*n*sin(6*b*log(c)) - 6*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) + 4*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) + 12*(4*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - b*n*sin(4*b*log(c)) - 4*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","B",0
226,0,0,0,0.000000," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\int \left(e x\right)^{m} \cot\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate((e*x)^m*cot((b*log(c*x^n) + a)*d), x)","F",0
227,-1,0,0,0.000000," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
228,0,0,0,0.000000," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n)))^3,x, algorithm=""maxima"")","\frac{4 \, {\left(b d \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b d \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n x x^{m} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + 4 \, {\left(b d \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b d \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n x x^{m} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} - {\left(2 \, b d e^{m} n \cos\left(2 \, b d \log\left(c\right)\right) - e^{m} m \sin\left(2 \, b d \log\left(c\right)\right) - e^{m} \sin\left(2 \, b d \log\left(c\right)\right)\right)} x x^{m} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + {\left(2 \, b d e^{m} n \sin\left(2 \, b d \log\left(c\right)\right) + e^{m} m \cos\left(2 \, b d \log\left(c\right)\right) + e^{m} \cos\left(2 \, b d \log\left(c\right)\right)\right)} x x^{m} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + {\left({\left({\left(\cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m - 2 \, {\left(b d \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b d \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - {\left({\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + 2 \, {\left(b d \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b d \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - {\left(e^{m} m \sin\left(4 \, b d \log\left(c\right)\right) + e^{m} \sin\left(4 \, b d \log\left(c\right)\right)\right)} x x^{m}\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) - \frac{1}{2} \, {\left(2 \, b^{6} d^{6} e^{m} n^{6} - {\left(b^{4} d^{4} e^{m} m^{2} + 2 \, b^{4} d^{4} e^{m} m + b^{4} d^{4} e^{m}\right)} n^{4} + {\left(2 \, {\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} + 4 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + {\left(2 \, {\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} + 4 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + 2 \, {\left(2 \, b^{6} d^{6} e^{m} n^{6} \cos\left(4 \, b d \log\left(c\right)\right) - {\left(b^{4} d^{4} e^{m} m^{2} \cos\left(4 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \cos\left(4 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \cos\left(4 \, b d \log\left(c\right)\right)\right)} n^{4} - 2 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) - 4 \, {\left(2 \, b^{6} d^{6} e^{m} n^{6} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(b^{4} d^{4} e^{m} m^{2} \cos\left(2 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \cos\left(2 \, b d \log\left(c\right)\right)\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left(2 \, b^{6} d^{6} e^{m} n^{6} \sin\left(4 \, b d \log\left(c\right)\right) - {\left(b^{4} d^{4} e^{m} m^{2} \sin\left(4 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \sin\left(4 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \sin\left(4 \, b d \log\left(c\right)\right)\right)} n^{4} - 2 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + 2 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) + 4 \, {\left(2 \, b^{6} d^{6} e^{m} n^{6} \sin\left(2 \, b d \log\left(c\right)\right) - {\left(b^{4} d^{4} e^{m} m^{2} \sin\left(2 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \sin\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \int \frac{x^{m} \cos\left(b d \log\left(x^{n}\right) + a d\right) \sin\left(b d \log\left(c\right)\right) + x^{m} \cos\left(b d \log\left(c\right)\right) \sin\left(b d \log\left(x^{n}\right) + a d\right)}{2 \, b^{4} d^{4} n^{4} \cos\left(b d \log\left(c\right)\right) \cos\left(b d \log\left(x^{n}\right) + a d\right) - 2 \, b^{4} d^{4} n^{4} \sin\left(b d \log\left(c\right)\right) \sin\left(b d \log\left(x^{n}\right) + a d\right) + b^{4} d^{4} n^{4} + {\left(b^{4} d^{4} \cos\left(b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(b d \log\left(c\right)\right)^{2}\right)} n^{4} \cos\left(b d \log\left(x^{n}\right) + a d\right)^{2} + {\left(b^{4} d^{4} \cos\left(b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(b d \log\left(c\right)\right)^{2}\right)} n^{4} \sin\left(b d \log\left(x^{n}\right) + a d\right)^{2}}\,{d x} - \frac{1}{2} \, {\left(2 \, b^{6} d^{6} e^{m} n^{6} - {\left(b^{4} d^{4} e^{m} m^{2} + 2 \, b^{4} d^{4} e^{m} m + b^{4} d^{4} e^{m}\right)} n^{4} + {\left(2 \, {\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} + 4 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + {\left(2 \, {\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} + 4 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + 2 \, {\left(2 \, b^{6} d^{6} e^{m} n^{6} \cos\left(4 \, b d \log\left(c\right)\right) - {\left(b^{4} d^{4} e^{m} m^{2} \cos\left(4 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \cos\left(4 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \cos\left(4 \, b d \log\left(c\right)\right)\right)} n^{4} - 2 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) - 4 \, {\left(2 \, b^{6} d^{6} e^{m} n^{6} \cos\left(2 \, b d \log\left(c\right)\right) - {\left(b^{4} d^{4} e^{m} m^{2} \cos\left(2 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \cos\left(2 \, b d \log\left(c\right)\right)\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left(2 \, b^{6} d^{6} e^{m} n^{6} \sin\left(4 \, b d \log\left(c\right)\right) - {\left(b^{4} d^{4} e^{m} m^{2} \sin\left(4 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \sin\left(4 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \sin\left(4 \, b d \log\left(c\right)\right)\right)} n^{4} - 2 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + 2 \, {\left(2 \, {\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} - {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) + 4 \, {\left(2 \, b^{6} d^{6} e^{m} n^{6} \sin\left(2 \, b d \log\left(c\right)\right) - {\left(b^{4} d^{4} e^{m} m^{2} \sin\left(2 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \sin\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \int \frac{x^{m} \cos\left(b d \log\left(x^{n}\right) + a d\right) \sin\left(b d \log\left(c\right)\right) + x^{m} \cos\left(b d \log\left(c\right)\right) \sin\left(b d \log\left(x^{n}\right) + a d\right)}{2 \, b^{4} d^{4} n^{4} \cos\left(b d \log\left(c\right)\right) \cos\left(b d \log\left(x^{n}\right) + a d\right) - 2 \, b^{4} d^{4} n^{4} \sin\left(b d \log\left(c\right)\right) \sin\left(b d \log\left(x^{n}\right) + a d\right) - b^{4} d^{4} n^{4} - {\left(b^{4} d^{4} \cos\left(b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(b d \log\left(c\right)\right)^{2}\right)} n^{4} \cos\left(b d \log\left(x^{n}\right) + a d\right)^{2} - {\left(b^{4} d^{4} \cos\left(b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(b d \log\left(c\right)\right)^{2}\right)} n^{4} \sin\left(b d \log\left(x^{n}\right) + a d\right)^{2}}\,{d x} + {\left({\left({\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + 2 \, {\left(b d \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b d \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + {\left({\left(\cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m - 2 \, {\left(b d \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b d \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - {\left(e^{m} m \cos\left(4 \, b d \log\left(c\right)\right) + e^{m} \cos\left(4 \, b d \log\left(c\right)\right)\right)} x x^{m}\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)}{4 \, b^{2} d^{2} n^{2} \cos\left(2 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 4 \, b^{2} d^{2} n^{2} \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - b^{2} d^{2} n^{2} - {\left(b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{2} d^{2} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} n^{2} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} - 4 \, {\left(b^{2} d^{2} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{2} d^{2} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n^{2} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} - {\left(b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{2} d^{2} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} n^{2} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} - 4 \, {\left(b^{2} d^{2} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{2} d^{2} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n^{2} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} - 2 \, {\left(b^{2} d^{2} n^{2} \cos\left(4 \, b d \log\left(c\right)\right) - 2 \, {\left(b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{2} d^{2} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{2} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left(b^{2} d^{2} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{2} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) + 2 \, {\left(b^{2} d^{2} n^{2} \sin\left(4 \, b d \log\left(c\right)\right) - 2 \, {\left(b^{2} d^{2} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{2} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + 2 \, {\left(b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{2} d^{2} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{2} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)}"," ",0,"(4*(b*d*cos(2*b*d*log(c))^2 + b*d*sin(2*b*d*log(c))^2)*e^m*n*x*x^m*cos(2*b*d*log(x^n) + 2*a*d)^2 + 4*(b*d*cos(2*b*d*log(c))^2 + b*d*sin(2*b*d*log(c))^2)*e^m*n*x*x^m*sin(2*b*d*log(x^n) + 2*a*d)^2 - (2*b*d*e^m*n*cos(2*b*d*log(c)) - e^m*m*sin(2*b*d*log(c)) - e^m*sin(2*b*d*log(c)))*x*x^m*cos(2*b*d*log(x^n) + 2*a*d) + (2*b*d*e^m*n*sin(2*b*d*log(c)) + e^m*m*cos(2*b*d*log(c)) + e^m*cos(2*b*d*log(c)))*x*x^m*sin(2*b*d*log(x^n) + 2*a*d) + (((cos(2*b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m - 2*(b*d*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b*d*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n + (cos(2*b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*x*x^m*cos(2*b*d*log(x^n) + 2*a*d) - ((cos(4*b*d*log(c))*cos(2*b*d*log(c)) + sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + 2*(b*d*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b*d*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n + (cos(4*b*d*log(c))*cos(2*b*d*log(c)) + sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*x*x^m*sin(2*b*d*log(x^n) + 2*a*d) - (e^m*m*sin(4*b*d*log(c)) + e^m*sin(4*b*d*log(c)))*x*x^m)*cos(4*b*d*log(x^n) + 4*a*d) - 2*(2*b^6*d^6*e^m*n^6 - (b^4*d^4*e^m*m^2 + 2*b^4*d^4*e^m*m + b^4*d^4*e^m)*n^4 + (2*(b^6*d^6*cos(4*b*d*log(c))^2 + b^6*d^6*sin(4*b*d*log(c))^2)*e^m*n^6 - ((b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m)*n^4)*cos(4*b*d*log(x^n) + 4*a*d)^2 + 4*(2*(b^6*d^6*cos(2*b*d*log(c))^2 + b^6*d^6*sin(2*b*d*log(c))^2)*e^m*n^6 - ((b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d)^2 + (2*(b^6*d^6*cos(4*b*d*log(c))^2 + b^6*d^6*sin(4*b*d*log(c))^2)*e^m*n^6 - ((b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m)*n^4)*sin(4*b*d*log(x^n) + 4*a*d)^2 + 4*(2*(b^6*d^6*cos(2*b*d*log(c))^2 + b^6*d^6*sin(2*b*d*log(c))^2)*e^m*n^6 - ((b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d)^2 + 2*(2*b^6*d^6*e^m*n^6*cos(4*b*d*log(c)) - (b^4*d^4*e^m*m^2*cos(4*b*d*log(c)) + 2*b^4*d^4*e^m*m*cos(4*b*d*log(c)) + b^4*d^4*e^m*cos(4*b*d*log(c)))*n^4 - 2*(2*(b^6*d^6*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^6*d^6*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 - ((b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d) - 2*(2*(b^6*d^6*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^6*d^6*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 - ((b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*cos(4*b*d*log(x^n) + 4*a*d) - 4*(2*b^6*d^6*e^m*n^6*cos(2*b*d*log(c)) - (b^4*d^4*e^m*m^2*cos(2*b*d*log(c)) + 2*b^4*d^4*e^m*m*cos(2*b*d*log(c)) + b^4*d^4*e^m*cos(2*b*d*log(c)))*n^4)*cos(2*b*d*log(x^n) + 2*a*d) - 2*(2*b^6*d^6*e^m*n^6*sin(4*b*d*log(c)) - (b^4*d^4*e^m*m^2*sin(4*b*d*log(c)) + 2*b^4*d^4*e^m*m*sin(4*b*d*log(c)) + b^4*d^4*e^m*sin(4*b*d*log(c)))*n^4 - 2*(2*(b^6*d^6*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^6*d^6*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 - ((b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d) + 2*(2*(b^6*d^6*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^6*d^6*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 - ((b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*sin(4*b*d*log(x^n) + 4*a*d) + 4*(2*b^6*d^6*e^m*n^6*sin(2*b*d*log(c)) - (b^4*d^4*e^m*m^2*sin(2*b*d*log(c)) + 2*b^4*d^4*e^m*m*sin(2*b*d*log(c)) + b^4*d^4*e^m*sin(2*b*d*log(c)))*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*integrate(1/4*(x^m*cos(b*d*log(x^n) + a*d)*sin(b*d*log(c)) + x^m*cos(b*d*log(c))*sin(b*d*log(x^n) + a*d))/(2*b^4*d^4*n^4*cos(b*d*log(c))*cos(b*d*log(x^n) + a*d) - 2*b^4*d^4*n^4*sin(b*d*log(c))*sin(b*d*log(x^n) + a*d) + b^4*d^4*n^4 + (b^4*d^4*cos(b*d*log(c))^2 + b^4*d^4*sin(b*d*log(c))^2)*n^4*cos(b*d*log(x^n) + a*d)^2 + (b^4*d^4*cos(b*d*log(c))^2 + b^4*d^4*sin(b*d*log(c))^2)*n^4*sin(b*d*log(x^n) + a*d)^2), x) + 2*(2*b^6*d^6*e^m*n^6 - (b^4*d^4*e^m*m^2 + 2*b^4*d^4*e^m*m + b^4*d^4*e^m)*n^4 + (2*(b^6*d^6*cos(4*b*d*log(c))^2 + b^6*d^6*sin(4*b*d*log(c))^2)*e^m*n^6 - ((b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m)*n^4)*cos(4*b*d*log(x^n) + 4*a*d)^2 + 4*(2*(b^6*d^6*cos(2*b*d*log(c))^2 + b^6*d^6*sin(2*b*d*log(c))^2)*e^m*n^6 - ((b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d)^2 + (2*(b^6*d^6*cos(4*b*d*log(c))^2 + b^6*d^6*sin(4*b*d*log(c))^2)*e^m*n^6 - ((b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m)*n^4)*sin(4*b*d*log(x^n) + 4*a*d)^2 + 4*(2*(b^6*d^6*cos(2*b*d*log(c))^2 + b^6*d^6*sin(2*b*d*log(c))^2)*e^m*n^6 - ((b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d)^2 + 2*(2*b^6*d^6*e^m*n^6*cos(4*b*d*log(c)) - (b^4*d^4*e^m*m^2*cos(4*b*d*log(c)) + 2*b^4*d^4*e^m*m*cos(4*b*d*log(c)) + b^4*d^4*e^m*cos(4*b*d*log(c)))*n^4 - 2*(2*(b^6*d^6*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^6*d^6*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 - ((b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d) - 2*(2*(b^6*d^6*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^6*d^6*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 - ((b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*cos(4*b*d*log(x^n) + 4*a*d) - 4*(2*b^6*d^6*e^m*n^6*cos(2*b*d*log(c)) - (b^4*d^4*e^m*m^2*cos(2*b*d*log(c)) + 2*b^4*d^4*e^m*m*cos(2*b*d*log(c)) + b^4*d^4*e^m*cos(2*b*d*log(c)))*n^4)*cos(2*b*d*log(x^n) + 2*a*d) - 2*(2*b^6*d^6*e^m*n^6*sin(4*b*d*log(c)) - (b^4*d^4*e^m*m^2*sin(4*b*d*log(c)) + 2*b^4*d^4*e^m*m*sin(4*b*d*log(c)) + b^4*d^4*e^m*sin(4*b*d*log(c)))*n^4 - 2*(2*(b^6*d^6*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^6*d^6*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 - ((b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d) + 2*(2*(b^6*d^6*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^6*d^6*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 - ((b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*sin(4*b*d*log(x^n) + 4*a*d) + 4*(2*b^6*d^6*e^m*n^6*sin(2*b*d*log(c)) - (b^4*d^4*e^m*m^2*sin(2*b*d*log(c)) + 2*b^4*d^4*e^m*m*sin(2*b*d*log(c)) + b^4*d^4*e^m*sin(2*b*d*log(c)))*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*integrate(-1/4*(x^m*cos(b*d*log(x^n) + a*d)*sin(b*d*log(c)) + x^m*cos(b*d*log(c))*sin(b*d*log(x^n) + a*d))/(2*b^4*d^4*n^4*cos(b*d*log(c))*cos(b*d*log(x^n) + a*d) - 2*b^4*d^4*n^4*sin(b*d*log(c))*sin(b*d*log(x^n) + a*d) - b^4*d^4*n^4 - (b^4*d^4*cos(b*d*log(c))^2 + b^4*d^4*sin(b*d*log(c))^2)*n^4*cos(b*d*log(x^n) + a*d)^2 - (b^4*d^4*cos(b*d*log(c))^2 + b^4*d^4*sin(b*d*log(c))^2)*n^4*sin(b*d*log(x^n) + a*d)^2), x) + (((cos(4*b*d*log(c))*cos(2*b*d*log(c)) + sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + 2*(b*d*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b*d*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n + (cos(4*b*d*log(c))*cos(2*b*d*log(c)) + sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*x*x^m*cos(2*b*d*log(x^n) + 2*a*d) + ((cos(2*b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m - 2*(b*d*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b*d*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n + (cos(2*b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*x*x^m*sin(2*b*d*log(x^n) + 2*a*d) - (e^m*m*cos(4*b*d*log(c)) + e^m*cos(4*b*d*log(c)))*x*x^m)*sin(4*b*d*log(x^n) + 4*a*d))/(4*b^2*d^2*n^2*cos(2*b*d*log(c))*cos(2*b*d*log(x^n) + 2*a*d) - 4*b^2*d^2*n^2*sin(2*b*d*log(c))*sin(2*b*d*log(x^n) + 2*a*d) - b^2*d^2*n^2 - (b^2*d^2*cos(4*b*d*log(c))^2 + b^2*d^2*sin(4*b*d*log(c))^2)*n^2*cos(4*b*d*log(x^n) + 4*a*d)^2 - 4*(b^2*d^2*cos(2*b*d*log(c))^2 + b^2*d^2*sin(2*b*d*log(c))^2)*n^2*cos(2*b*d*log(x^n) + 2*a*d)^2 - (b^2*d^2*cos(4*b*d*log(c))^2 + b^2*d^2*sin(4*b*d*log(c))^2)*n^2*sin(4*b*d*log(x^n) + 4*a*d)^2 - 4*(b^2*d^2*cos(2*b*d*log(c))^2 + b^2*d^2*sin(2*b*d*log(c))^2)*n^2*sin(2*b*d*log(x^n) + 2*a*d)^2 - 2*(b^2*d^2*n^2*cos(4*b*d*log(c)) - 2*(b^2*d^2*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^2*d^2*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*n^2*cos(2*b*d*log(x^n) + 2*a*d) - 2*(b^2*d^2*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^2*d^2*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*n^2*sin(2*b*d*log(x^n) + 2*a*d))*cos(4*b*d*log(x^n) + 4*a*d) + 2*(b^2*d^2*n^2*sin(4*b*d*log(c)) - 2*(b^2*d^2*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^2*d^2*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*n^2*cos(2*b*d*log(x^n) + 2*a*d) + 2*(b^2*d^2*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^2*d^2*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*n^2*sin(2*b*d*log(x^n) + 2*a*d))*sin(4*b*d*log(x^n) + 4*a*d))","F",0
229,0,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))^p,x, algorithm=""maxima"")","\int \cot\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate(cot((b*log(c*x^n) + a)*d)^p, x)","F",0
230,0,0,0,0.000000," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n)))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \cot\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*cot((b*log(c*x^n) + a)*d)^p, x)","F",0
231,0,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""maxima"")","\int \frac{\cot\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(cot(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
232,0,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\cot\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(cot(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
233,0,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\cot\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(cot(b*log(c*x^n) + a))/x, x)","F",0
234,0,0,0,0.000000," ","integrate(1/x/cot(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x \sqrt{\cot\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(cot(b*log(c*x^n) + a))), x)","F",0
235,0,0,0,0.000000," ","integrate(1/x/cot(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x \cot\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*cot(b*log(c*x^n) + a)^(3/2)), x)","F",0
236,0,0,0,0.000000," ","integrate(1/x/cot(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x \cot\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*cot(b*log(c*x^n) + a)^(5/2)), x)","F",0
237,0,0,0,0.000000," ","integrate(x^2*sec(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int x^{2} \sec\left(b \log\left(c x^{n}\right) + a\right)\,{d x}"," ",0,"integrate(x^2*sec(b*log(c*x^n) + a), x)","F",0
238,0,0,0,0.000000," ","integrate(x*sec(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int x \sec\left(b \log\left(c x^{n}\right) + a\right)\,{d x}"," ",0,"integrate(x*sec(b*log(c*x^n) + a), x)","F",0
239,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \sec\left(b \log\left(c x^{n}\right) + a\right)\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a), x)","F",0
240,1,31,0,0.404009," ","integrate(sec(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{\log\left(\sec\left(b \log\left(c x^{n}\right) + a\right) + \tan\left(b \log\left(c x^{n}\right) + a\right)\right)}{b n}"," ",0,"log(sec(b*log(c*x^n) + a) + tan(b*log(c*x^n) + a))/(b*n)","A",0
241,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)/x^2, x)","F",0
242,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)}{x^{3}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)/x^3, x)","F",0
243,-1,0,0,0.000000," ","integrate(x^2*sec(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
244,-1,0,0,0.000000," ","integrate(x*sec(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
245,-1,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
246,1,165,0,0.362210," ","integrate(sec(a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","\frac{2 \, {\left(\cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)}}{2 \, b n \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 2 \, b n \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + b n}"," ",0,"2*(cos(2*b*log(x^n) + 2*a)*sin(2*b*log(c)) + cos(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/(2*b*n*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + (b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 - 2*b*n*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + (b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + b*n)","B",0
247,-1,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^2/x^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
248,-1,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^2/x^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,-1,0,0,0.000000," ","integrate(x*sec(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
250,-1,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
251,-1,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^3/x,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
252,-1,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^3/x^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
253,-1,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^3/x^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
254,0,0,0,0.000000," ","integrate(x*sec(a+b*log(c*x^n))^4,x, algorithm=""maxima"")","-\frac{4 \, {\left(3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n x^{2} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n x^{2} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b n \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(b n \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left({\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - {\left(3 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 2 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(3 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(b^{2} n^{2} \sin\left(6 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right)\right)} x^{2}\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - {\left(3 \, {\left(3 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(3 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(3 \, b^{2} n^{2} \sin\left(4 \, b \log\left(c\right)\right) - b n \cos\left(4 \, b \log\left(c\right)\right) + 2 \, \sin\left(4 \, b \log\left(c\right)\right)\right)} x^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(b^{8} n^{8} + b^{6} n^{6} + {\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(b^{8} n^{8} \cos\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b^{8} n^{8} \cos\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(4 \, b \log\left(c\right)\right) + 3 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 6 \, {\left(b^{8} n^{8} \cos\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(b^{8} n^{8} \sin\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(6 \, b \log\left(c\right)\right) + 3 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(b^{8} n^{8} \sin\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(4 \, b \log\left(c\right)\right) + 3 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 6 \, {\left(b^{8} n^{8} \sin\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \int \frac{x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) + x \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{2 \, b^{6} n^{6} \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, b^{6} n^{6} \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b^{6} n^{6} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2}}\,{d x} - {\left({\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(3 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left({\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(3 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 2 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(b^{2} n^{2} \cos\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right)\right)} x^{2}\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - {\left(3 \, {\left(3 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(3 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(3 \, b^{2} n^{2} \cos\left(4 \, b \log\left(c\right)\right) + b n \sin\left(4 \, b \log\left(c\right)\right) + 2 \, \cos\left(4 \, b \log\left(c\right)\right)\right)} x^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}{3 \, {\left(6 \, b^{3} n^{3} \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 6 \, b^{3} n^{3} \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b^{3} n^{3} + {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(b^{3} n^{3} \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b^{3} n^{3} \cos\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(b^{3} n^{3} \sin\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(b^{3} n^{3} \sin\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"-4/3*(3*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*x^2*cos(4*b*log(x^n) + 4*a)^2 + 3*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*x^2*cos(2*b*log(x^n) + 2*a)^2 + 3*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*x^2*sin(4*b*log(x^n) + 4*a)^2 + 3*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*x^2*sin(2*b*log(x^n) + 2*a)^2 + (b*n*cos(2*b*log(c)) - sin(2*b*log(c)))*x^2*cos(2*b*log(x^n) + 2*a) - (b*n*sin(2*b*log(c)) + cos(2*b*log(c)))*x^2*sin(2*b*log(x^n) + 2*a) + (((b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n - cos(4*b*log(c))*sin(6*b*log(c)) + cos(6*b*log(c))*sin(4*b*log(c)))*x^2*cos(4*b*log(x^n) + 4*a) - (3*(b^2*cos(2*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(2*b*log(c)))*n^2 - (b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n + 2*cos(2*b*log(c))*sin(6*b*log(c)) - 2*cos(6*b*log(c))*sin(2*b*log(c)))*x^2*cos(2*b*log(x^n) + 2*a) + ((b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n + cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*x^2*sin(4*b*log(x^n) + 4*a) + (3*(b^2*cos(6*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n + 2*cos(6*b*log(c))*cos(2*b*log(c)) + 2*sin(6*b*log(c))*sin(2*b*log(c)))*x^2*sin(2*b*log(x^n) + 2*a) - (b^2*n^2*sin(6*b*log(c)) + sin(6*b*log(c)))*x^2)*cos(6*b*log(x^n) + 6*a) - (3*(3*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 - 2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*x^2*cos(2*b*log(x^n) + 2*a) - 3*(3*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + 2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*x^2*sin(2*b*log(x^n) + 2*a) + (3*b^2*n^2*sin(4*b*log(c)) - b*n*cos(4*b*log(c)) + 2*sin(4*b*log(c)))*x^2)*cos(4*b*log(x^n) + 4*a) + 18*(b^8*n^8 + b^6*n^6 + ((b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*cos(6*b*log(x^n) + 6*a)^2 + 9*((b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*cos(4*b*log(x^n) + 4*a)^2 + 9*((b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*cos(2*b*log(x^n) + 2*a)^2 + ((b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*sin(6*b*log(x^n) + 6*a)^2 + 9*((b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*sin(4*b*log(x^n) + 4*a)^2 + 9*((b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*sin(2*b*log(x^n) + 2*a)^2 + 2*(b^8*n^8*cos(6*b*log(c)) + b^6*n^6*cos(6*b*log(c)) + 3*((b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*cos(4*b*log(x^n) + 4*a) + 3*((b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) + 3*((b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*sin(4*b*log(x^n) + 4*a) + 3*((b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(b^8*n^8*cos(4*b*log(c)) + b^6*n^6*cos(4*b*log(c)) + 3*((b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) + 3*((b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) + 6*(b^8*n^8*cos(2*b*log(c)) + b^6*n^6*cos(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(b^8*n^8*sin(6*b*log(c)) + b^6*n^6*sin(6*b*log(c)) + 3*((b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*cos(4*b*log(x^n) + 4*a) + 3*((b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) - 3*((b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*sin(4*b*log(x^n) + 4*a) - 3*((b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) - 6*(b^8*n^8*sin(4*b*log(c)) + b^6*n^6*sin(4*b*log(c)) + 3*((b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) - 3*((b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a) - 6*(b^8*n^8*sin(2*b*log(c)) + b^6*n^6*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*integrate(1/9*(x*cos(2*b*log(x^n) + 2*a)*sin(2*b*log(c)) + x*cos(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/(2*b^6*n^6*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 2*b^6*n^6*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + b^6*n^6 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6*cos(2*b*log(x^n) + 2*a)^2 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6*sin(2*b*log(x^n) + 2*a)^2), x) - (((b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n + cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*x^2*cos(4*b*log(x^n) + 4*a) + (3*(b^2*cos(6*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n + 2*cos(6*b*log(c))*cos(2*b*log(c)) + 2*sin(6*b*log(c))*sin(2*b*log(c)))*x^2*cos(2*b*log(x^n) + 2*a) - ((b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n - cos(4*b*log(c))*sin(6*b*log(c)) + cos(6*b*log(c))*sin(4*b*log(c)))*x^2*sin(4*b*log(x^n) + 4*a) + (3*(b^2*cos(2*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(2*b*log(c)))*n^2 - (b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n + 2*cos(2*b*log(c))*sin(6*b*log(c)) - 2*cos(6*b*log(c))*sin(2*b*log(c)))*x^2*sin(2*b*log(x^n) + 2*a) + (b^2*n^2*cos(6*b*log(c)) + cos(6*b*log(c)))*x^2)*sin(6*b*log(x^n) + 6*a) - (3*(3*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + 2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*x^2*cos(2*b*log(x^n) + 2*a) + 3*(3*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 - 2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*x^2*sin(2*b*log(x^n) + 2*a) + (3*b^2*n^2*cos(4*b*log(c)) + b*n*sin(4*b*log(c)) + 2*cos(4*b*log(c)))*x^2)*sin(4*b*log(x^n) + 4*a))/(6*b^3*n^3*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 6*b^3*n^3*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + b^3*n^3 + (b^3*cos(6*b*log(c))^2 + b^3*sin(6*b*log(c))^2)*n^3*cos(6*b*log(x^n) + 6*a)^2 + 9*(b^3*cos(4*b*log(c))^2 + b^3*sin(4*b*log(c))^2)*n^3*cos(4*b*log(x^n) + 4*a)^2 + 9*(b^3*cos(2*b*log(c))^2 + b^3*sin(2*b*log(c))^2)*n^3*cos(2*b*log(x^n) + 2*a)^2 + (b^3*cos(6*b*log(c))^2 + b^3*sin(6*b*log(c))^2)*n^3*sin(6*b*log(x^n) + 6*a)^2 + 9*(b^3*cos(4*b*log(c))^2 + b^3*sin(4*b*log(c))^2)*n^3*sin(4*b*log(x^n) + 4*a)^2 + 9*(b^3*cos(2*b*log(c))^2 + b^3*sin(2*b*log(c))^2)*n^3*sin(2*b*log(x^n) + 2*a)^2 + 2*(b^3*n^3*cos(6*b*log(c)) + 3*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)))*n^3*cos(4*b*log(x^n) + 4*a) + 3*(b^3*cos(6*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) + 3*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)))*n^3*sin(4*b*log(x^n) + 4*a) + 3*(b^3*cos(2*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(b^3*n^3*cos(4*b*log(c)) + 3*(b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) + 3*(b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 2*(b^3*n^3*sin(6*b*log(c)) + 3*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)))*n^3*cos(4*b*log(x^n) + 4*a) + 3*(b^3*cos(2*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) - 3*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)))*n^3*sin(4*b*log(x^n) + 4*a) - 3*(b^3*cos(6*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) - 6*(b^3*n^3*sin(4*b*log(c)) + 3*(b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) - 3*(b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","F",0
255,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^4,x, algorithm=""maxima"")","-\frac{6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 6 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 6 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(2 \, b n \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(2 \, b n \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left(2 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(6 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(6 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(4 \, b^{2} n^{2} \sin\left(6 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right)\right)} x\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - {\left(3 \, {\left(12 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(12 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(6 \, b^{2} n^{2} \sin\left(4 \, b \log\left(c\right)\right) - b n \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} x\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(4 \, b^{8} n^{8} + b^{6} n^{6} + {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(4 \, b^{8} n^{8} \cos\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(4 \, b^{8} n^{8} \cos\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 6 \, {\left(4 \, b^{8} n^{8} \cos\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(4 \, b^{8} n^{8} \sin\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(4 \, b^{8} n^{8} \sin\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 6 \, {\left(4 \, b^{8} n^{8} \sin\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \int \frac{\cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{2 \, b^{6} n^{6} \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, b^{6} n^{6} \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b^{6} n^{6} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2}}\,{d x} - {\left({\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(6 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(2 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(6 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(4 \, b^{2} n^{2} \cos\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right)\right)} x\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - {\left(3 \, {\left(12 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(12 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(6 \, b^{2} n^{2} \cos\left(4 \, b \log\left(c\right)\right) + b n \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} x\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)}{3 \, {\left(6 \, b^{3} n^{3} \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 6 \, b^{3} n^{3} \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b^{3} n^{3} + {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(b^{3} n^{3} \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b^{3} n^{3} \cos\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(b^{3} n^{3} \sin\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(b^{3} n^{3} \sin\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"-1/3*(6*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*x*cos(4*b*log(x^n) + 4*a)^2 + 6*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*x*cos(2*b*log(x^n) + 2*a)^2 + 6*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*x*sin(4*b*log(x^n) + 4*a)^2 + 6*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*x*sin(2*b*log(x^n) + 2*a)^2 + (2*b*n*cos(2*b*log(c)) - sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) - (2*b*n*sin(2*b*log(c)) + cos(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) + ((2*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n - cos(4*b*log(c))*sin(6*b*log(c)) + cos(6*b*log(c))*sin(4*b*log(c)))*x*cos(4*b*log(x^n) + 4*a) - 2*(6*(b^2*cos(2*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(2*b*log(c)))*n^2 - (b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + (2*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n + cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*x*sin(4*b*log(x^n) + 4*a) + 2*(6*(b^2*cos(6*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n + cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) - (4*b^2*n^2*sin(6*b*log(c)) + sin(6*b*log(c)))*x)*cos(6*b*log(x^n) + 6*a) - (3*(12*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 - 4*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) - 3*(12*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) + 2*(6*b^2*n^2*sin(4*b*log(c)) - b*n*cos(4*b*log(c)) + sin(4*b*log(c)))*x)*cos(4*b*log(x^n) + 4*a) + 9*(4*b^8*n^8 + b^6*n^6 + (4*(b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*cos(6*b*log(x^n) + 6*a)^2 + 9*(4*(b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*cos(4*b*log(x^n) + 4*a)^2 + 9*(4*(b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*cos(2*b*log(x^n) + 2*a)^2 + (4*(b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*sin(6*b*log(x^n) + 6*a)^2 + 9*(4*(b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*sin(4*b*log(x^n) + 4*a)^2 + 9*(4*(b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*sin(2*b*log(x^n) + 2*a)^2 + 2*(4*b^8*n^8*cos(6*b*log(c)) + b^6*n^6*cos(6*b*log(c)) + 3*(4*(b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*cos(4*b*log(x^n) + 4*a) + 3*(4*(b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) + 3*(4*(b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*sin(4*b*log(x^n) + 4*a) + 3*(4*(b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(4*b^8*n^8*cos(4*b*log(c)) + b^6*n^6*cos(4*b*log(c)) + 3*(4*(b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) + 3*(4*(b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) + 6*(4*b^8*n^8*cos(2*b*log(c)) + b^6*n^6*cos(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(4*b^8*n^8*sin(6*b*log(c)) + b^6*n^6*sin(6*b*log(c)) + 3*(4*(b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*cos(4*b*log(x^n) + 4*a) + 3*(4*(b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) - 3*(4*(b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*sin(4*b*log(x^n) + 4*a) - 3*(4*(b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) - 6*(4*b^8*n^8*sin(4*b*log(c)) + b^6*n^6*sin(4*b*log(c)) + 3*(4*(b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) - 3*(4*(b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a) - 6*(4*b^8*n^8*sin(2*b*log(c)) + b^6*n^6*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*integrate(1/9*(cos(2*b*log(x^n) + 2*a)*sin(2*b*log(c)) + cos(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/(2*b^6*n^6*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 2*b^6*n^6*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + b^6*n^6 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6*cos(2*b*log(x^n) + 2*a)^2 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6*sin(2*b*log(x^n) + 2*a)^2), x) - ((2*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n + cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*x*cos(4*b*log(x^n) + 4*a) + 2*(6*(b^2*cos(6*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n + cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) - (2*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n - cos(4*b*log(c))*sin(6*b*log(c)) + cos(6*b*log(c))*sin(4*b*log(c)))*x*sin(4*b*log(x^n) + 4*a) + 2*(6*(b^2*cos(2*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(2*b*log(c)))*n^2 - (b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) + (4*b^2*n^2*cos(6*b*log(c)) + cos(6*b*log(c)))*x)*sin(6*b*log(x^n) + 6*a) - (3*(12*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + 3*(12*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 - 4*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) + 2*(6*b^2*n^2*cos(4*b*log(c)) + b*n*sin(4*b*log(c)) + cos(4*b*log(c)))*x)*sin(4*b*log(x^n) + 4*a))/(6*b^3*n^3*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 6*b^3*n^3*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + b^3*n^3 + (b^3*cos(6*b*log(c))^2 + b^3*sin(6*b*log(c))^2)*n^3*cos(6*b*log(x^n) + 6*a)^2 + 9*(b^3*cos(4*b*log(c))^2 + b^3*sin(4*b*log(c))^2)*n^3*cos(4*b*log(x^n) + 4*a)^2 + 9*(b^3*cos(2*b*log(c))^2 + b^3*sin(2*b*log(c))^2)*n^3*cos(2*b*log(x^n) + 2*a)^2 + (b^3*cos(6*b*log(c))^2 + b^3*sin(6*b*log(c))^2)*n^3*sin(6*b*log(x^n) + 6*a)^2 + 9*(b^3*cos(4*b*log(c))^2 + b^3*sin(4*b*log(c))^2)*n^3*sin(4*b*log(x^n) + 4*a)^2 + 9*(b^3*cos(2*b*log(c))^2 + b^3*sin(2*b*log(c))^2)*n^3*sin(2*b*log(x^n) + 2*a)^2 + 2*(b^3*n^3*cos(6*b*log(c)) + 3*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)))*n^3*cos(4*b*log(x^n) + 4*a) + 3*(b^3*cos(6*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) + 3*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)))*n^3*sin(4*b*log(x^n) + 4*a) + 3*(b^3*cos(2*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(b^3*n^3*cos(4*b*log(c)) + 3*(b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) + 3*(b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 2*(b^3*n^3*sin(6*b*log(c)) + 3*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)))*n^3*cos(4*b*log(x^n) + 4*a) + 3*(b^3*cos(2*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) - 3*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)))*n^3*sin(4*b*log(x^n) + 4*a) - 3*(b^3*cos(6*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) - 6*(b^3*n^3*sin(4*b*log(c)) + 3*(b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) - 3*(b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","F",0
256,1,1323,0,0.396557," ","integrate(sec(a+b*log(c*x^n))^4/x,x, algorithm=""maxima"")","\frac{4 \, {\left({\left(3 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 3 \, {\left(3 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(3 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 3 \, {\left(3 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}{3 \, {\left({\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 6 \, b n \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 6 \, b n \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + b n + 2 \, {\left(b n \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b n \cos\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b n \sin\left(6 \, b \log\left(c\right)\right) - 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b n \sin\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"4/3*((3*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 3*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) + 3*(3*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 3*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + (3*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 3*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + 3*(3*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 3*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(4*b*log(c)))*sin(4*b*log(x^n) + 4*a))/((b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*cos(6*b*log(x^n) + 6*a)^2 + 9*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2 + 6*b*n*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 9*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 + (b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*sin(6*b*log(x^n) + 6*a)^2 + 9*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*sin(4*b*log(x^n) + 4*a)^2 - 6*b*n*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 9*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + b*n + 2*(b*n*cos(6*b*log(c)) + 3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) + 3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + 3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) + 3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(b*n*cos(4*b*log(c)) + 3*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + 3*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 2*(3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) + 3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + b*n*sin(6*b*log(c)) - 3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) - 3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) - 6*(3*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + b*n*sin(4*b*log(c)) - 3*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","B",0
257,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^4/x^2,x, algorithm=""maxima"")","\frac{6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 6 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 6 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(4 \, b^{2} n^{2} \sin\left(6 \, b \log\left(c\right)\right) + {\left(2 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(6 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) - \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(6 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + {\left(12 \, b^{2} n^{2} \sin\left(4 \, b \log\left(c\right)\right) + 2 \, b n \cos\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(12 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(12 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(2 \, b n \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 6 \, {\left(4 \, b^{8} n^{8} \cos\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 6 \, {\left(4 \, b^{8} n^{8} \sin\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(4 \, b^{8} n^{8} + b^{6} n^{6}\right)} x + 2 \, {\left(3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(4 \, b^{8} n^{8} \cos\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(6 \, b \log\left(c\right)\right)\right)} x\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(4 \, b^{8} n^{8} \cos\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(4 \, b \log\left(c\right)\right)\right)} x\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(4 \, b^{8} n^{8} \sin\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(6 \, b \log\left(c\right)\right)\right)} x\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(4 \, b^{8} n^{8} \sin\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(4 \, b \log\left(c\right)\right)\right)} x\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)} \int \frac{\cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{2 \, b^{6} n^{6} x^{2} \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, b^{6} n^{6} x^{2} \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b^{6} n^{6} x^{2} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2}}\,{d x} + {\left(4 \, b^{2} n^{2} \cos\left(6 \, b \log\left(c\right)\right) - {\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) - \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(6 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(2 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(6 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + {\left(12 \, b^{2} n^{2} \cos\left(4 \, b \log\left(c\right)\right) - 2 \, b n \sin\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(12 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(12 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, \cos\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - {\left(2 \, b n \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{3 \, {\left(6 \, b^{3} n^{3} x \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 6 \, b^{3} n^{3} x \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b^{3} n^{3} x + {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(b^{3} n^{3} x \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b^{3} n^{3} x \cos\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(b^{3} n^{3} x \sin\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(b^{3} n^{3} x \sin\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"1/3*(6*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2 + 6*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 + 6*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*sin(4*b*log(x^n) + 4*a)^2 + 6*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + (4*b^2*n^2*sin(6*b*log(c)) + (2*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n + cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 2*(6*(b^2*cos(2*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + (2*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n - cos(6*b*log(c))*cos(4*b*log(c)) - sin(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 2*(6*(b^2*cos(6*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(2*b*log(c)))*n^2 - (b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n + cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) + (12*b^2*n^2*sin(4*b*log(c)) + 2*b*n*cos(4*b*log(c)) + 3*(12*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 3*(12*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 - 4*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + 2*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + (2*b*n*cos(2*b*log(c)) + sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 9*((4*(b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*x*cos(6*b*log(x^n) + 6*a)^2 + 9*(4*(b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*x*cos(4*b*log(x^n) + 4*a)^2 + 9*(4*(b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*x*cos(2*b*log(x^n) + 2*a)^2 + (4*(b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*x*sin(6*b*log(x^n) + 6*a)^2 + 9*(4*(b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*x*sin(4*b*log(x^n) + 4*a)^2 + 9*(4*(b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*x*sin(2*b*log(x^n) + 2*a)^2 + 6*(4*b^8*n^8*cos(2*b*log(c)) + b^6*n^6*cos(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) - 6*(4*b^8*n^8*sin(2*b*log(c)) + b^6*n^6*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) + (4*b^8*n^8 + b^6*n^6)*x + 2*(3*(4*(b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*x*cos(4*b*log(x^n) + 4*a) + 3*(4*(b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*x*cos(2*b*log(x^n) + 2*a) + 3*(4*(b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*x*sin(4*b*log(x^n) + 4*a) + 3*(4*(b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*x*sin(2*b*log(x^n) + 2*a) + (4*b^8*n^8*cos(6*b*log(c)) + b^6*n^6*cos(6*b*log(c)))*x)*cos(6*b*log(x^n) + 6*a) + 6*(3*(4*(b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*x*cos(2*b*log(x^n) + 2*a) + 3*(4*(b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*x*sin(2*b*log(x^n) + 2*a) + (4*b^8*n^8*cos(4*b*log(c)) + b^6*n^6*cos(4*b*log(c)))*x)*cos(4*b*log(x^n) + 4*a) - 2*(3*(4*(b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*x*cos(4*b*log(x^n) + 4*a) + 3*(4*(b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*x*cos(2*b*log(x^n) + 2*a) - 3*(4*(b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*x*sin(4*b*log(x^n) + 4*a) - 3*(4*(b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*x*sin(2*b*log(x^n) + 2*a) + (4*b^8*n^8*sin(6*b*log(c)) + b^6*n^6*sin(6*b*log(c)))*x)*sin(6*b*log(x^n) + 6*a) - 6*(3*(4*(b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*x*cos(2*b*log(x^n) + 2*a) - 3*(4*(b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*x*sin(2*b*log(x^n) + 2*a) + (4*b^8*n^8*sin(4*b*log(c)) + b^6*n^6*sin(4*b*log(c)))*x)*sin(4*b*log(x^n) + 4*a))*integrate(1/9*(cos(2*b*log(x^n) + 2*a)*sin(2*b*log(c)) + cos(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/(2*b^6*n^6*x^2*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 2*b^6*n^6*x^2*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + b^6*n^6*x^2 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6*x^2*cos(2*b*log(x^n) + 2*a)^2 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6*x^2*sin(2*b*log(x^n) + 2*a)^2), x) + (4*b^2*n^2*cos(6*b*log(c)) - (2*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n - cos(6*b*log(c))*cos(4*b*log(c)) - sin(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 2*(6*(b^2*cos(6*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(2*b*log(c)))*n^2 - (b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n + cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + (2*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n + cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 2*(6*(b^2*cos(2*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + (12*b^2*n^2*cos(4*b*log(c)) - 2*b*n*sin(4*b*log(c)) + 3*(12*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 - 4*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 3*(12*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + 2*cos(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - (2*b*n*sin(2*b*log(c)) - cos(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))/(6*b^3*n^3*x*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 6*b^3*n^3*x*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + b^3*n^3*x + (b^3*cos(6*b*log(c))^2 + b^3*sin(6*b*log(c))^2)*n^3*x*cos(6*b*log(x^n) + 6*a)^2 + 9*(b^3*cos(4*b*log(c))^2 + b^3*sin(4*b*log(c))^2)*n^3*x*cos(4*b*log(x^n) + 4*a)^2 + 9*(b^3*cos(2*b*log(c))^2 + b^3*sin(2*b*log(c))^2)*n^3*x*cos(2*b*log(x^n) + 2*a)^2 + (b^3*cos(6*b*log(c))^2 + b^3*sin(6*b*log(c))^2)*n^3*x*sin(6*b*log(x^n) + 6*a)^2 + 9*(b^3*cos(4*b*log(c))^2 + b^3*sin(4*b*log(c))^2)*n^3*x*sin(4*b*log(x^n) + 4*a)^2 + 9*(b^3*cos(2*b*log(c))^2 + b^3*sin(2*b*log(c))^2)*n^3*x*sin(2*b*log(x^n) + 2*a)^2 + 2*(b^3*n^3*x*cos(6*b*log(c)) + 3*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)))*n^3*x*cos(4*b*log(x^n) + 4*a) + 3*(b^3*cos(6*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(2*b*log(c)))*n^3*x*cos(2*b*log(x^n) + 2*a) + 3*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)))*n^3*x*sin(4*b*log(x^n) + 4*a) + 3*(b^3*cos(2*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(2*b*log(c)))*n^3*x*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(b^3*n^3*x*cos(4*b*log(c)) + 3*(b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3*x*cos(2*b*log(x^n) + 2*a) + 3*(b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3*x*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 2*(b^3*n^3*x*sin(6*b*log(c)) + 3*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)))*n^3*x*cos(4*b*log(x^n) + 4*a) + 3*(b^3*cos(2*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(2*b*log(c)))*n^3*x*cos(2*b*log(x^n) + 2*a) - 3*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)))*n^3*x*sin(4*b*log(x^n) + 4*a) - 3*(b^3*cos(6*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(2*b*log(c)))*n^3*x*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) - 6*(b^3*n^3*x*sin(4*b*log(c)) + 3*(b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3*x*cos(2*b*log(x^n) + 2*a) - 3*(b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3*x*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","F",0
258,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^4/x^3,x, algorithm=""maxima"")","\frac{4 \, {\left(3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b^{2} n^{2} \sin\left(6 \, b \log\left(c\right)\right) + {\left({\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(3 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 2 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) - \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - {\left(3 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + {\left(3 \, b^{2} n^{2} \sin\left(4 \, b \log\left(c\right)\right) + b n \cos\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(3 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(3 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - 2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(b n \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left({\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x^{2} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x^{2} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x^{2} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x^{2} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 6 \, {\left(b^{8} n^{8} \cos\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 6 \, {\left(b^{8} n^{8} \sin\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(2 \, b \log\left(c\right)\right)\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(b^{8} n^{8} + b^{6} n^{6}\right)} x^{2} + 2 \, {\left(3 \, {\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(b^{8} n^{8} \cos\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(6 \, b \log\left(c\right)\right)\right)} x^{2}\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(3 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(b^{8} n^{8} \cos\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(4 \, b \log\left(c\right)\right)\right)} x^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(3 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left({\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(b^{8} n^{8} \sin\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(6 \, b \log\left(c\right)\right)\right)} x^{2}\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(3 \, {\left({\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left({\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(b^{8} n^{8} \sin\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(4 \, b \log\left(c\right)\right)\right)} x^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)} \int \frac{\cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{2 \, b^{6} n^{6} x^{3} \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, b^{6} n^{6} x^{3} \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b^{6} n^{6} x^{3} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} x^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} x^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2}}\,{d x} + {\left(b^{2} n^{2} \cos\left(6 \, b \log\left(c\right)\right) - {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) - \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(3 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 2 \, \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + 2 \, \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(3 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + 2 \, \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - 2 \, \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + {\left(3 \, b^{2} n^{2} \cos\left(4 \, b \log\left(c\right)\right) - b n \sin\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(3 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - 2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(3 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, \cos\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - {\left(b n \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)}}{3 \, {\left(6 \, b^{3} n^{3} x^{2} \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 6 \, b^{3} n^{3} x^{2} \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b^{3} n^{3} x^{2} + {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x^{2} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x^{2} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x^{2} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x^{2} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{3} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(b^{3} n^{3} x^{2} \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b^{3} n^{3} x^{2} \cos\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(b^{3} n^{3} x^{2} \sin\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(b^{3} n^{3} x^{2} \sin\left(4 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} x^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"4/3*(3*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2 + 3*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 + 3*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*sin(4*b*log(x^n) + 4*a)^2 + 3*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + (b^2*n^2*sin(6*b*log(c)) + ((b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n + cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + (3*(b^2*cos(2*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n + 2*cos(2*b*log(c))*sin(6*b*log(c)) - 2*cos(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + ((b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n - cos(6*b*log(c))*cos(4*b*log(c)) - sin(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - (3*(b^2*cos(6*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(2*b*log(c)))*n^2 - (b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n + 2*cos(6*b*log(c))*cos(2*b*log(c)) + 2*sin(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) + (3*b^2*n^2*sin(4*b*log(c)) + b*n*cos(4*b*log(c)) + 3*(3*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 + 2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 3*(3*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 - 2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + 2*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + (b*n*cos(2*b*log(c)) + sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 18*(((b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*x^2*cos(6*b*log(x^n) + 6*a)^2 + 9*((b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*x^2*cos(4*b*log(x^n) + 4*a)^2 + 9*((b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*x^2*cos(2*b*log(x^n) + 2*a)^2 + ((b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*x^2*sin(6*b*log(x^n) + 6*a)^2 + 9*((b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*x^2*sin(4*b*log(x^n) + 4*a)^2 + 9*((b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*x^2*sin(2*b*log(x^n) + 2*a)^2 + 6*(b^8*n^8*cos(2*b*log(c)) + b^6*n^6*cos(2*b*log(c)))*x^2*cos(2*b*log(x^n) + 2*a) - 6*(b^8*n^8*sin(2*b*log(c)) + b^6*n^6*sin(2*b*log(c)))*x^2*sin(2*b*log(x^n) + 2*a) + (b^8*n^8 + b^6*n^6)*x^2 + 2*(3*((b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*x^2*cos(4*b*log(x^n) + 4*a) + 3*((b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*x^2*cos(2*b*log(x^n) + 2*a) + 3*((b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*x^2*sin(4*b*log(x^n) + 4*a) + 3*((b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*x^2*sin(2*b*log(x^n) + 2*a) + (b^8*n^8*cos(6*b*log(c)) + b^6*n^6*cos(6*b*log(c)))*x^2)*cos(6*b*log(x^n) + 6*a) + 6*(3*((b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*x^2*cos(2*b*log(x^n) + 2*a) + 3*((b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*x^2*sin(2*b*log(x^n) + 2*a) + (b^8*n^8*cos(4*b*log(c)) + b^6*n^6*cos(4*b*log(c)))*x^2)*cos(4*b*log(x^n) + 4*a) - 2*(3*((b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*x^2*cos(4*b*log(x^n) + 4*a) + 3*((b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*x^2*cos(2*b*log(x^n) + 2*a) - 3*((b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*x^2*sin(4*b*log(x^n) + 4*a) - 3*((b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*x^2*sin(2*b*log(x^n) + 2*a) + (b^8*n^8*sin(6*b*log(c)) + b^6*n^6*sin(6*b*log(c)))*x^2)*sin(6*b*log(x^n) + 6*a) - 6*(3*((b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*x^2*cos(2*b*log(x^n) + 2*a) - 3*((b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*x^2*sin(2*b*log(x^n) + 2*a) + (b^8*n^8*sin(4*b*log(c)) + b^6*n^6*sin(4*b*log(c)))*x^2)*sin(4*b*log(x^n) + 4*a))*integrate(1/9*(cos(2*b*log(x^n) + 2*a)*sin(2*b*log(c)) + cos(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/(2*b^6*n^6*x^3*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 2*b^6*n^6*x^3*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + b^6*n^6*x^3 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6*x^3*cos(2*b*log(x^n) + 2*a)^2 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6*x^3*sin(2*b*log(x^n) + 2*a)^2), x) + (b^2*n^2*cos(6*b*log(c)) - ((b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n - cos(6*b*log(c))*cos(4*b*log(c)) - sin(6*b*log(c))*sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + (3*(b^2*cos(6*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(2*b*log(c)))*n^2 - (b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n + 2*cos(6*b*log(c))*cos(2*b*log(c)) + 2*sin(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + ((b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n + cos(4*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + (3*(b^2*cos(2*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n + 2*cos(2*b*log(c))*sin(6*b*log(c)) - 2*cos(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) + (3*b^2*n^2*cos(4*b*log(c)) - b*n*sin(4*b*log(c)) + 3*(3*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 - 2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 3*(3*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 + 2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + 2*cos(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - (b*n*sin(2*b*log(c)) - cos(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))/(6*b^3*n^3*x^2*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 6*b^3*n^3*x^2*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + b^3*n^3*x^2 + (b^3*cos(6*b*log(c))^2 + b^3*sin(6*b*log(c))^2)*n^3*x^2*cos(6*b*log(x^n) + 6*a)^2 + 9*(b^3*cos(4*b*log(c))^2 + b^3*sin(4*b*log(c))^2)*n^3*x^2*cos(4*b*log(x^n) + 4*a)^2 + 9*(b^3*cos(2*b*log(c))^2 + b^3*sin(2*b*log(c))^2)*n^3*x^2*cos(2*b*log(x^n) + 2*a)^2 + (b^3*cos(6*b*log(c))^2 + b^3*sin(6*b*log(c))^2)*n^3*x^2*sin(6*b*log(x^n) + 6*a)^2 + 9*(b^3*cos(4*b*log(c))^2 + b^3*sin(4*b*log(c))^2)*n^3*x^2*sin(4*b*log(x^n) + 4*a)^2 + 9*(b^3*cos(2*b*log(c))^2 + b^3*sin(2*b*log(c))^2)*n^3*x^2*sin(2*b*log(x^n) + 2*a)^2 + 2*(b^3*n^3*x^2*cos(6*b*log(c)) + 3*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)))*n^3*x^2*cos(4*b*log(x^n) + 4*a) + 3*(b^3*cos(6*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(2*b*log(c)))*n^3*x^2*cos(2*b*log(x^n) + 2*a) + 3*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)))*n^3*x^2*sin(4*b*log(x^n) + 4*a) + 3*(b^3*cos(2*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(2*b*log(c)))*n^3*x^2*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(b^3*n^3*x^2*cos(4*b*log(c)) + 3*(b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3*x^2*cos(2*b*log(x^n) + 2*a) + 3*(b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3*x^2*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 2*(b^3*n^3*x^2*sin(6*b*log(c)) + 3*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)))*n^3*x^2*cos(4*b*log(x^n) + 4*a) + 3*(b^3*cos(2*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(2*b*log(c)))*n^3*x^2*cos(2*b*log(x^n) + 2*a) - 3*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)))*n^3*x^2*sin(4*b*log(x^n) + 4*a) - 3*(b^3*cos(6*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(2*b*log(c)))*n^3*x^2*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) - 6*(b^3*n^3*x^2*sin(4*b*log(c)) + 3*(b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3*x^2*cos(2*b*log(x^n) + 2*a) - 3*(b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3*x^2*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","F",0
259,1,1696,0,2.328738," ","integrate(-(b^2*n^2+1)*sec(a+b*log(c*x^n))+2*b^2*n^2*sec(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","-\frac{2 \, {\left({\left(b n \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) + {\left(b n \cos\left(b \log\left(c\right)\right) - \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right) + {\left({\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - {\left(2 \, {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(b n \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right)\right)} x\right)} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 2 \, {\left({\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left({\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) + {\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - {\left(2 \, {\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(b n \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right)\right)} x\right)} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 2 \, {\left({\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) + {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)}}{{\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 1}"," ",0,"-2*((b*n*sin(b*log(c)) + cos(b*log(c)))*x*cos(b*log(x^n) + a) + (b*n*cos(b*log(c)) - sin(b*log(c)))*x*sin(b*log(x^n) + a) + (((b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)))*n + cos(4*b*log(c))*cos(3*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)))*x*cos(3*b*log(x^n) + 3*a) - ((b*cos(b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(b*log(c)))*n - cos(4*b*log(c))*cos(b*log(c)) - sin(4*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) - ((b*cos(4*b*log(c))*cos(3*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)))*n - cos(3*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(3*b*log(c)))*x*sin(3*b*log(x^n) + 3*a) + ((b*cos(4*b*log(c))*cos(b*log(c)) + b*sin(4*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*cos(4*b*log(x^n) + 4*a) - (2*((b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n - cos(3*b*log(c))*cos(2*b*log(c)) - sin(3*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) - 2*((b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) + (b*n*sin(3*b*log(c)) - cos(3*b*log(c)))*x)*cos(3*b*log(x^n) + 3*a) - 2*(((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)))*n - cos(2*b*log(c))*cos(b*log(c)) - sin(2*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) - ((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*cos(2*b*log(x^n) + 2*a) + (((b*cos(4*b*log(c))*cos(3*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)))*n - cos(3*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(3*b*log(c)))*x*cos(3*b*log(x^n) + 3*a) - ((b*cos(4*b*log(c))*cos(b*log(c)) + b*sin(4*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) + ((b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)))*n + cos(4*b*log(c))*cos(3*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)))*x*sin(3*b*log(x^n) + 3*a) - ((b*cos(b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(b*log(c)))*n - cos(4*b*log(c))*cos(b*log(c)) - sin(4*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*sin(4*b*log(x^n) + 4*a) - (2*((b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + 2*((b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n - cos(3*b*log(c))*cos(2*b*log(c)) - sin(3*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) + (b*n*cos(3*b*log(c)) + sin(3*b*log(c)))*x)*sin(3*b*log(x^n) + 3*a) - 2*(((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) + ((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)))*n - cos(2*b*log(c))*cos(b*log(c)) - sin(2*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*sin(2*b*log(x^n) + 2*a))/((cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + (cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 + 2*(2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + 4*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 2*(2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) + sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) - 4*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 1)","B",0
260,1,976,0,1.168566," ","integrate(x^m*sec(a+2*log(c*x^(1/2*(-(1+m)^2)^(1/2))))^3,x, algorithm=""maxima"")","\frac{2 \, {\left({\left(\cos\left(a\right) \cos\left(2 \, \log\left(c\right)\right) - \sin\left(a\right) \sin\left(2 \, \log\left(c\right)\right)\right)} x e^{\left(m \log\left(x\right) + 14 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 14 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + 2 \, {\left({\left({\left(\cos\left(2 \, a\right) \cos\left(a\right) + \sin\left(2 \, a\right) \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) + {\left(\cos\left(a\right) \sin\left(2 \, a\right) - \cos\left(2 \, a\right) \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} \cos\left(4 \, \log\left(c\right)\right) - {\left({\left(\cos\left(a\right) \sin\left(2 \, a\right) - \cos\left(2 \, a\right) \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) - {\left(\cos\left(2 \, a\right) \cos\left(a\right) + \sin\left(2 \, a\right) \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} x e^{\left(m \log\left(x\right) + 10 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 10 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + {\left({\left({\left(\cos\left(4 \, a\right) \cos\left(a\right) + \sin\left(4 \, a\right) \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) + {\left(\cos\left(a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} \cos\left(8 \, \log\left(c\right)\right) - {\left({\left(\cos\left(a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) - {\left(\cos\left(4 \, a\right) \cos\left(a\right) + \sin\left(4 \, a\right) \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} \sin\left(8 \, \log\left(c\right)\right)\right)} x e^{\left(m \log\left(x\right) + 6 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 6 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)}\right)}}{{\left(\cos\left(4 \, a\right)^{2} + \sin\left(4 \, a\right)^{2}\right)} \cos\left(8 \, \log\left(c\right)\right)^{2} + {\left(\cos\left(4 \, a\right)^{2} + \sin\left(4 \, a\right)^{2}\right)} \sin\left(8 \, \log\left(c\right)\right)^{2} + {\left({\left(\cos\left(4 \, a\right)^{2} + \sin\left(4 \, a\right)^{2}\right)} \cos\left(8 \, \log\left(c\right)\right)^{2} + {\left(\cos\left(4 \, a\right)^{2} + \sin\left(4 \, a\right)^{2}\right)} \sin\left(8 \, \log\left(c\right)\right)^{2}\right)} m + {\left(m + 1\right)} e^{\left(16 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 16 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + 4 \, {\left({\left(\cos\left(2 \, a\right) \cos\left(4 \, \log\left(c\right)\right) - \sin\left(2 \, a\right) \sin\left(4 \, \log\left(c\right)\right)\right)} m + \cos\left(2 \, a\right) \cos\left(4 \, \log\left(c\right)\right) - \sin\left(2 \, a\right) \sin\left(4 \, \log\left(c\right)\right)\right)} e^{\left(12 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 12 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + 2 \, {\left(2 \, {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \cos\left(4 \, \log\left(c\right)\right)^{2} + 2 \, {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \sin\left(4 \, \log\left(c\right)\right)^{2} + {\left(2 \, {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \cos\left(4 \, \log\left(c\right)\right)^{2} + 2 \, {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \sin\left(4 \, \log\left(c\right)\right)^{2} + \cos\left(4 \, a\right) \cos\left(8 \, \log\left(c\right)\right) - \sin\left(4 \, a\right) \sin\left(8 \, \log\left(c\right)\right)\right)} m + \cos\left(4 \, a\right) \cos\left(8 \, \log\left(c\right)\right) - \sin\left(4 \, a\right) \sin\left(8 \, \log\left(c\right)\right)\right)} e^{\left(8 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 8 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + 4 \, {\left({\left({\left({\left(\cos\left(4 \, a\right) \cos\left(2 \, a\right) + \sin\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) + {\left(\cos\left(2 \, a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} \cos\left(8 \, \log\left(c\right)\right) - {\left({\left(\cos\left(2 \, a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) - {\left(\cos\left(4 \, a\right) \cos\left(2 \, a\right) + \sin\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} \sin\left(8 \, \log\left(c\right)\right)\right)} m + {\left({\left(\cos\left(4 \, a\right) \cos\left(2 \, a\right) + \sin\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) + {\left(\cos\left(2 \, a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} \cos\left(8 \, \log\left(c\right)\right) - {\left({\left(\cos\left(2 \, a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) - {\left(\cos\left(4 \, a\right) \cos\left(2 \, a\right) + \sin\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} \sin\left(8 \, \log\left(c\right)\right)\right)} e^{\left(4 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 4 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)}}"," ",0,"2*((cos(a)*cos(2*log(c)) - sin(a)*sin(2*log(c)))*x*e^(m*log(x) + 14*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 14*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + 2*(((cos(2*a)*cos(a) + sin(2*a)*sin(a))*cos(2*log(c)) + (cos(a)*sin(2*a) - cos(2*a)*sin(a))*sin(2*log(c)))*cos(4*log(c)) - ((cos(a)*sin(2*a) - cos(2*a)*sin(a))*cos(2*log(c)) - (cos(2*a)*cos(a) + sin(2*a)*sin(a))*sin(2*log(c)))*sin(4*log(c)))*x*e^(m*log(x) + 10*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 10*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + (((cos(4*a)*cos(a) + sin(4*a)*sin(a))*cos(2*log(c)) + (cos(a)*sin(4*a) - cos(4*a)*sin(a))*sin(2*log(c)))*cos(8*log(c)) - ((cos(a)*sin(4*a) - cos(4*a)*sin(a))*cos(2*log(c)) - (cos(4*a)*cos(a) + sin(4*a)*sin(a))*sin(2*log(c)))*sin(8*log(c)))*x*e^(m*log(x) + 6*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 6*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))))/((cos(4*a)^2 + sin(4*a)^2)*cos(8*log(c))^2 + (cos(4*a)^2 + sin(4*a)^2)*sin(8*log(c))^2 + ((cos(4*a)^2 + sin(4*a)^2)*cos(8*log(c))^2 + (cos(4*a)^2 + sin(4*a)^2)*sin(8*log(c))^2)*m + (m + 1)*e^(16*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 16*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + 4*((cos(2*a)*cos(4*log(c)) - sin(2*a)*sin(4*log(c)))*m + cos(2*a)*cos(4*log(c)) - sin(2*a)*sin(4*log(c)))*e^(12*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 12*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + 2*(2*(cos(2*a)^2 + sin(2*a)^2)*cos(4*log(c))^2 + 2*(cos(2*a)^2 + sin(2*a)^2)*sin(4*log(c))^2 + (2*(cos(2*a)^2 + sin(2*a)^2)*cos(4*log(c))^2 + 2*(cos(2*a)^2 + sin(2*a)^2)*sin(4*log(c))^2 + cos(4*a)*cos(8*log(c)) - sin(4*a)*sin(8*log(c)))*m + cos(4*a)*cos(8*log(c)) - sin(4*a)*sin(8*log(c)))*e^(8*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 8*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + 4*((((cos(4*a)*cos(2*a) + sin(4*a)*sin(2*a))*cos(4*log(c)) + (cos(2*a)*sin(4*a) - cos(4*a)*sin(2*a))*sin(4*log(c)))*cos(8*log(c)) - ((cos(2*a)*sin(4*a) - cos(4*a)*sin(2*a))*cos(4*log(c)) - (cos(4*a)*cos(2*a) + sin(4*a)*sin(2*a))*sin(4*log(c)))*sin(8*log(c)))*m + ((cos(4*a)*cos(2*a) + sin(4*a)*sin(2*a))*cos(4*log(c)) + (cos(2*a)*sin(4*a) - cos(4*a)*sin(2*a))*sin(4*log(c)))*cos(8*log(c)) - ((cos(2*a)*sin(4*a) - cos(4*a)*sin(2*a))*cos(4*log(c)) - (cos(4*a)*cos(2*a) + sin(4*a)*sin(2*a))*sin(4*log(c)))*sin(8*log(c)))*e^(4*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 4*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))))","B",0
261,1,140,0,0.368419," ","integrate(x*sec(a+2*log(c*x^I))^3,x, algorithm=""maxima"")","\frac{{\left({\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) - {\left(-i \, \cos\left(a\right) + \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} x^{2} e^{\left(6 \, \arctan\left(\sin\left(\log\left(x\right)\right), \cos\left(\log\left(x\right)\right)\right)\right)}}{{\left(\cos\left(4 \, a\right) + i \, \sin\left(4 \, a\right)\right)} \cos\left(8 \, \log\left(c\right)\right) + {\left({\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) - 2 \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} e^{\left(4 \, \arctan\left(\sin\left(\log\left(x\right)\right), \cos\left(\log\left(x\right)\right)\right)\right)} + {\left(i \, \cos\left(4 \, a\right) - \sin\left(4 \, a\right)\right)} \sin\left(8 \, \log\left(c\right)\right) + e^{\left(8 \, \arctan\left(\sin\left(\log\left(x\right)\right), \cos\left(\log\left(x\right)\right)\right)\right)}}"," ",0,"((cos(a) + I*sin(a))*cos(2*log(c)) - (-I*cos(a) + sin(a))*sin(2*log(c)))*x^2*e^(6*arctan2(sin(log(x)), cos(log(x))))/((cos(4*a) + I*sin(4*a))*cos(8*log(c)) + ((2*cos(2*a) + 2*I*sin(2*a))*cos(4*log(c)) - 2*(-I*cos(2*a) + sin(2*a))*sin(4*log(c)))*e^(4*arctan2(sin(log(x)), cos(log(x)))) + (I*cos(4*a) - sin(4*a))*sin(8*log(c)) + e^(8*arctan2(sin(log(x)), cos(log(x)))))","B",0
262,1,154,0,0.768956," ","integrate(sec(a+2*log(c*x^(1/2*I)))^3,x, algorithm=""maxima"")","\frac{{\left({\left(2 \, \cos\left(a\right) + 2 i \, \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) + 2 \, {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} x e^{\left(6 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)}}{{\left(\cos\left(4 \, a\right) + i \, \sin\left(4 \, a\right)\right)} \cos\left(8 \, \log\left(c\right)\right) + {\left({\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) - 2 \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} e^{\left(4 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + {\left(i \, \cos\left(4 \, a\right) - \sin\left(4 \, a\right)\right)} \sin\left(8 \, \log\left(c\right)\right) + e^{\left(8 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)}}"," ",0,"((2*cos(a) + 2*I*sin(a))*cos(2*log(c)) + 2*(I*cos(a) - sin(a))*sin(2*log(c)))*x*e^(6*arctan2(sin(1/2*log(x)), cos(1/2*log(x))))/((cos(4*a) + I*sin(4*a))*cos(8*log(c)) + ((2*cos(2*a) + 2*I*sin(2*a))*cos(4*log(c)) - 2*(-I*cos(2*a) + sin(2*a))*sin(4*log(c)))*e^(4*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + (I*cos(4*a) - sin(4*a))*sin(8*log(c)) + e^(8*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))))","B",0
263,1,166,0,0.397267," ","integrate(sec(a+2*log(c/(x^(1/2*I))))^3,x, algorithm=""maxima"")","\frac{{\left({\left(2 \, \cos\left(3 \, a\right) + 2 i \, \sin\left(3 \, a\right)\right)} \cos\left(6 \, \log\left(c\right)\right) + 2 \, {\left(i \, \cos\left(3 \, a\right) - \sin\left(3 \, a\right)\right)} \sin\left(6 \, \log\left(c\right)\right)\right)} x e^{\left(6 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)}}{{\left({\left(\cos\left(4 \, a\right) + i \, \sin\left(4 \, a\right)\right)} \cos\left(8 \, \log\left(c\right)\right) - {\left(-i \, \cos\left(4 \, a\right) + \sin\left(4 \, a\right)\right)} \sin\left(8 \, \log\left(c\right)\right)\right)} e^{\left(8 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + {\left({\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) + 2 \, {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} e^{\left(4 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + 1}"," ",0,"((2*cos(3*a) + 2*I*sin(3*a))*cos(6*log(c)) + 2*(I*cos(3*a) - sin(3*a))*sin(6*log(c)))*x*e^(6*arctan2(sin(1/2*log(x)), cos(1/2*log(x))))/(((cos(4*a) + I*sin(4*a))*cos(8*log(c)) - (-I*cos(4*a) + sin(4*a))*sin(8*log(c)))*e^(8*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + ((2*cos(2*a) + 2*I*sin(2*a))*cos(4*log(c)) + 2*(I*cos(2*a) - sin(2*a))*sin(4*log(c)))*e^(4*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + 1)","B",0
264,0,0,0,0.000000," ","integrate(sec(a+I*log(c*x^n)/n/(-2+p))^p,x, algorithm=""maxima"")","\int \sec\left(a + \frac{i \, \log\left(c x^{n}\right)}{n {\left(p - 2\right)}}\right)^{p}\,{d x}"," ",0,"integrate(sec(a + I*log(c*x^n)/(n*(p - 2)))^p, x)","F",0
265,0,0,0,0.000000," ","integrate(sec(a-I*log(c*x^n)/n/(-2+p))^p,x, algorithm=""maxima"")","\int \sec\left(-a + \frac{i \, \log\left(c x^{n}\right)}{n {\left(p - 2\right)}}\right)^{p}\,{d x}"," ",0,"integrate(sec(-a + I*log(c*x^n)/(n*(p - 2)))^p, x)","F",0
266,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sec\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(sec(b*log(c*x^n) + a)), x)","F",0
267,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\sec\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(sec(b*log(c*x^n) + a))/x, x)","F",0
268,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^(3/2), x)","F",0
269,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
270,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^(5/2), x)","F",0
271,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""maxima"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
272,0,0,0,0.000000," ","integrate(1/sec(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\sec\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(sec(b*log(c*x^n) + a)), x)","F",0
273,0,0,0,0.000000," ","integrate(1/x/sec(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x \sqrt{\sec\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(sec(b*log(c*x^n) + a))), x)","F",0
274,0,0,0,0.000000," ","integrate(1/sec(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^(-3/2), x)","F",0
275,0,0,0,0.000000," ","integrate(1/x/sec(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x \sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*sec(b*log(c*x^n) + a)^(3/2)), x)","F",0
276,0,0,0,0.000000," ","integrate(1/sec(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^(-5/2), x)","F",0
277,0,0,0,0.000000," ","integrate(1/x/sec(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x \sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*sec(b*log(c*x^n) + a)^(5/2)), x)","F",0
278,-1,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
279,-1,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
280,0,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int x^{m} \sec\left(b \log\left(c x^{n}\right) + a\right)\,{d x}"," ",0,"integrate(x^m*sec(b*log(c*x^n) + a), x)","F",0
281,0,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int x^{m} \sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(x^m*sec(b*log(c*x^n) + a)^(5/2), x)","F",0
282,0,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int x^{m} \sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x^m*sec(b*log(c*x^n) + a)^(3/2), x)","F",0
283,0,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int x^{m} \sqrt{\sec\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate(x^m*sqrt(sec(b*log(c*x^n) + a)), x)","F",0
284,0,0,0,0.000000," ","integrate(x^m/sec(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{\sec\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(x^m/sqrt(sec(b*log(c*x^n) + a)), x)","F",0
285,0,0,0,0.000000," ","integrate(x^m/sec(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^m/sec(b*log(c*x^n) + a)^(3/2), x)","F",0
286,0,0,0,0.000000," ","integrate((e*x)^m*sec(d*(a+b*log(c*x^n)))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \sec\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*sec((b*log(c*x^n) + a)*d)^p, x)","F",0
287,0,0,0,0.000000," ","integrate(x*sec(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\int x \sec\left(b \log\left(c x^{n}\right) + a\right)^{p}\,{d x}"," ",0,"integrate(x*sec(b*log(c*x^n) + a)^p, x)","F",0
288,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\int \sec\left(b \log\left(c x^{n}\right) + a\right)^{p}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^p, x)","F",0
289,0,0,0,0.000000," ","integrate(x^2*csc(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int x^{2} \csc\left(b \log\left(c x^{n}\right) + a\right)\,{d x}"," ",0,"integrate(x^2*csc(b*log(c*x^n) + a), x)","F",0
290,0,0,0,0.000000," ","integrate(x*csc(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int x \csc\left(b \log\left(c x^{n}\right) + a\right)\,{d x}"," ",0,"integrate(x*csc(b*log(c*x^n) + a), x)","F",0
291,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \csc\left(b \log\left(c x^{n}\right) + a\right)\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a), x)","F",0
292,1,32,0,0.306610," ","integrate(csc(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","-\frac{\log\left(\cot\left(b \log\left(c x^{n}\right) + a\right) + \csc\left(b \log\left(c x^{n}\right) + a\right)\right)}{b n}"," ",0,"-log(cot(b*log(c*x^n) + a) + csc(b*log(c*x^n) + a))/(b*n)","A",0
293,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","\int \frac{\csc\left(b \log\left(c x^{n}\right) + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)/x^2, x)","F",0
294,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","\int \frac{\csc\left(b \log\left(c x^{n}\right) + a\right)}{x^{3}}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)/x^3, x)","F",0
295,-1,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
296,1,168,0,1.626382," ","integrate(csc(a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","\frac{2 \, {\left(\cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)}}{2 \, b n \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 2 \, b n \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - b n}"," ",0,"2*(cos(2*b*log(x^n) + 2*a)*sin(2*b*log(c)) + cos(2*b*log(c))*sin(2*b*log(x^n) + 2*a))/(2*b*n*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - (b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 - 2*b*n*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) - (b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 - b*n)","B",0
297,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","-\frac{{\left(b n \cos\left(b \log\left(c\right)\right) - \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) - {\left(b n \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right) + {\left({\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) + {\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - {\left(2 \, {\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(b n \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right)\right)} x\right)} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 2 \, {\left({\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) + {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + \frac{1}{2} \, {\left(b^{6} n^{6} + b^{4} n^{4} + {\left({\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6} + {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left({\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} + {\left(b^{4} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{4}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left({\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6} + {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left({\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} + {\left(b^{4} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{4}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(b^{6} n^{6} \cos\left(4 \, b \log\left(c\right)\right) + b^{4} n^{4} \cos\left(4 \, b \log\left(c\right)\right) - 2 \, {\left({\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6} + {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{4} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{4}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left({\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6} + {\left(b^{4} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{4} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{4}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(b^{6} n^{6} \cos\left(2 \, b \log\left(c\right)\right) + b^{4} n^{4} \cos\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(b^{6} n^{6} \sin\left(4 \, b \log\left(c\right)\right) + b^{4} n^{4} \sin\left(4 \, b \log\left(c\right)\right) - 2 \, {\left({\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6} + {\left(b^{4} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{4} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{4}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left({\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6} + {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{4} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{4}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(b^{6} n^{6} \sin\left(2 \, b \log\left(c\right)\right) + b^{4} n^{4} \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \int \frac{\cos\left(b \log\left(x^{n}\right) + a\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right) \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, b^{4} n^{4} \cos\left(b \log\left(c\right)\right) \cos\left(b \log\left(x^{n}\right) + a\right) - 2 \, b^{4} n^{4} \sin\left(b \log\left(c\right)\right) \sin\left(b \log\left(x^{n}\right) + a\right) + b^{4} n^{4} + {\left(b^{4} \cos\left(b \log\left(c\right)\right)^{2} + b^{4} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{4} \cos\left(b \log\left(x^{n}\right) + a\right)^{2} + {\left(b^{4} \cos\left(b \log\left(c\right)\right)^{2} + b^{4} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{4} \sin\left(b \log\left(x^{n}\right) + a\right)^{2}}\,{d x} - \frac{1}{2} \, {\left(b^{6} n^{6} + b^{4} n^{4} + {\left({\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6} + {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left({\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} + {\left(b^{4} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{4}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left({\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6} + {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{4}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left({\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6} + {\left(b^{4} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{4} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{4}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(b^{6} n^{6} \cos\left(4 \, b \log\left(c\right)\right) + b^{4} n^{4} \cos\left(4 \, b \log\left(c\right)\right) - 2 \, {\left({\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6} + {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{4} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{4}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left({\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6} + {\left(b^{4} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{4} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{4}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(b^{6} n^{6} \cos\left(2 \, b \log\left(c\right)\right) + b^{4} n^{4} \cos\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(b^{6} n^{6} \sin\left(4 \, b \log\left(c\right)\right) + b^{4} n^{4} \sin\left(4 \, b \log\left(c\right)\right) - 2 \, {\left({\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6} + {\left(b^{4} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{4} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{4}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left({\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6} + {\left(b^{4} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{4} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{4}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(b^{6} n^{6} \sin\left(2 \, b \log\left(c\right)\right) + b^{4} n^{4} \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \int \frac{\cos\left(b \log\left(x^{n}\right) + a\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right) \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, b^{4} n^{4} \cos\left(b \log\left(c\right)\right) \cos\left(b \log\left(x^{n}\right) + a\right) - 2 \, b^{4} n^{4} \sin\left(b \log\left(c\right)\right) \sin\left(b \log\left(x^{n}\right) + a\right) - b^{4} n^{4} - {\left(b^{4} \cos\left(b \log\left(c\right)\right)^{2} + b^{4} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{4} \cos\left(b \log\left(x^{n}\right) + a\right)^{2} - {\left(b^{4} \cos\left(b \log\left(c\right)\right)^{2} + b^{4} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{4} \sin\left(b \log\left(x^{n}\right) + a\right)^{2}}\,{d x} - {\left({\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(2 \, {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(b n \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right)\right)} x\right)} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 2 \, {\left({\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}{4 \, b^{2} n^{2} \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, b^{2} n^{2} \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{2} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 4 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{2} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - b^{2} n^{2} - 2 \, {\left(b^{2} n^{2} \cos\left(4 \, b \log\left(c\right)\right) - 2 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(b^{2} n^{2} \sin\left(4 \, b \log\left(c\right)\right) - 2 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)}"," ",0,"-((b*n*cos(b*log(c)) - sin(b*log(c)))*x*cos(b*log(x^n) + a) - (b*n*sin(b*log(c)) + cos(b*log(c)))*x*sin(b*log(x^n) + a) + (((b*cos(4*b*log(c))*cos(3*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)))*n - cos(3*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(3*b*log(c)))*x*cos(3*b*log(x^n) + 3*a) + ((b*cos(4*b*log(c))*cos(b*log(c)) + b*sin(4*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) + ((b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)))*n + cos(4*b*log(c))*cos(3*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)))*x*sin(3*b*log(x^n) + 3*a) + ((b*cos(b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(b*log(c)))*n - cos(4*b*log(c))*cos(b*log(c)) - sin(4*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*cos(4*b*log(x^n) + 4*a) - (2*((b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + 2*((b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n - cos(3*b*log(c))*cos(2*b*log(c)) - sin(3*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) - (b*n*cos(3*b*log(c)) + sin(3*b*log(c)))*x)*cos(3*b*log(x^n) + 3*a) - 2*(((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) + ((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)))*n - cos(2*b*log(c))*cos(b*log(c)) - sin(2*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*cos(2*b*log(x^n) + 2*a) + 2*(b^6*n^6 + b^4*n^4 + ((b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6 + (b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4)*cos(4*b*log(x^n) + 4*a)^2 + 4*((b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6 + (b^4*cos(2*b*log(c))^2 + b^4*sin(2*b*log(c))^2)*n^4)*cos(2*b*log(x^n) + 2*a)^2 + ((b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6 + (b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4)*sin(4*b*log(x^n) + 4*a)^2 + 4*((b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6 + (b^4*cos(2*b*log(c))^2 + b^4*sin(2*b*log(c))^2)*n^4)*sin(2*b*log(x^n) + 2*a)^2 + 2*(b^6*n^6*cos(4*b*log(c)) + b^4*n^4*cos(4*b*log(c)) - 2*((b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6 + (b^4*cos(4*b*log(c))*cos(2*b*log(c)) + b^4*sin(4*b*log(c))*sin(2*b*log(c)))*n^4)*cos(2*b*log(x^n) + 2*a) - 2*((b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6 + (b^4*cos(2*b*log(c))*sin(4*b*log(c)) - b^4*cos(4*b*log(c))*sin(2*b*log(c)))*n^4)*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 4*(b^6*n^6*cos(2*b*log(c)) + b^4*n^4*cos(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(b^6*n^6*sin(4*b*log(c)) + b^4*n^4*sin(4*b*log(c)) - 2*((b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6 + (b^4*cos(2*b*log(c))*sin(4*b*log(c)) - b^4*cos(4*b*log(c))*sin(2*b*log(c)))*n^4)*cos(2*b*log(x^n) + 2*a) + 2*((b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6 + (b^4*cos(4*b*log(c))*cos(2*b*log(c)) + b^4*sin(4*b*log(c))*sin(2*b*log(c)))*n^4)*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a) + 4*(b^6*n^6*sin(2*b*log(c)) + b^4*n^4*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*integrate(1/4*(cos(b*log(x^n) + a)*sin(b*log(c)) + cos(b*log(c))*sin(b*log(x^n) + a))/(2*b^4*n^4*cos(b*log(c))*cos(b*log(x^n) + a) - 2*b^4*n^4*sin(b*log(c))*sin(b*log(x^n) + a) + b^4*n^4 + (b^4*cos(b*log(c))^2 + b^4*sin(b*log(c))^2)*n^4*cos(b*log(x^n) + a)^2 + (b^4*cos(b*log(c))^2 + b^4*sin(b*log(c))^2)*n^4*sin(b*log(x^n) + a)^2), x) + 2*(b^6*n^6 + b^4*n^4 + ((b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6 + (b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4)*cos(4*b*log(x^n) + 4*a)^2 + 4*((b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6 + (b^4*cos(2*b*log(c))^2 + b^4*sin(2*b*log(c))^2)*n^4)*cos(2*b*log(x^n) + 2*a)^2 + ((b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6 + (b^4*cos(4*b*log(c))^2 + b^4*sin(4*b*log(c))^2)*n^4)*sin(4*b*log(x^n) + 4*a)^2 + 4*((b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6 + (b^4*cos(2*b*log(c))^2 + b^4*sin(2*b*log(c))^2)*n^4)*sin(2*b*log(x^n) + 2*a)^2 + 2*(b^6*n^6*cos(4*b*log(c)) + b^4*n^4*cos(4*b*log(c)) - 2*((b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6 + (b^4*cos(4*b*log(c))*cos(2*b*log(c)) + b^4*sin(4*b*log(c))*sin(2*b*log(c)))*n^4)*cos(2*b*log(x^n) + 2*a) - 2*((b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6 + (b^4*cos(2*b*log(c))*sin(4*b*log(c)) - b^4*cos(4*b*log(c))*sin(2*b*log(c)))*n^4)*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 4*(b^6*n^6*cos(2*b*log(c)) + b^4*n^4*cos(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(b^6*n^6*sin(4*b*log(c)) + b^4*n^4*sin(4*b*log(c)) - 2*((b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6 + (b^4*cos(2*b*log(c))*sin(4*b*log(c)) - b^4*cos(4*b*log(c))*sin(2*b*log(c)))*n^4)*cos(2*b*log(x^n) + 2*a) + 2*((b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6 + (b^4*cos(4*b*log(c))*cos(2*b*log(c)) + b^4*sin(4*b*log(c))*sin(2*b*log(c)))*n^4)*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a) + 4*(b^6*n^6*sin(2*b*log(c)) + b^4*n^4*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*integrate(-1/4*(cos(b*log(x^n) + a)*sin(b*log(c)) + cos(b*log(c))*sin(b*log(x^n) + a))/(2*b^4*n^4*cos(b*log(c))*cos(b*log(x^n) + a) - 2*b^4*n^4*sin(b*log(c))*sin(b*log(x^n) + a) - b^4*n^4 - (b^4*cos(b*log(c))^2 + b^4*sin(b*log(c))^2)*n^4*cos(b*log(x^n) + a)^2 - (b^4*cos(b*log(c))^2 + b^4*sin(b*log(c))^2)*n^4*sin(b*log(x^n) + a)^2), x) - (((b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)))*n + cos(4*b*log(c))*cos(3*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)))*x*cos(3*b*log(x^n) + 3*a) + ((b*cos(b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(b*log(c)))*n - cos(4*b*log(c))*cos(b*log(c)) - sin(4*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) - ((b*cos(4*b*log(c))*cos(3*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)))*n - cos(3*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(3*b*log(c)))*x*sin(3*b*log(x^n) + 3*a) - ((b*cos(4*b*log(c))*cos(b*log(c)) + b*sin(4*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*sin(4*b*log(x^n) + 4*a) + (2*((b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n - cos(3*b*log(c))*cos(2*b*log(c)) - sin(3*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) - 2*((b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) - (b*n*sin(3*b*log(c)) - cos(3*b*log(c)))*x)*sin(3*b*log(x^n) + 3*a) + 2*(((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)))*n - cos(2*b*log(c))*cos(b*log(c)) - sin(2*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) - ((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*sin(2*b*log(x^n) + 2*a))/(4*b^2*n^2*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 4*b^2*n^2*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) - (b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2*cos(4*b*log(x^n) + 4*a)^2 - 4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2*cos(2*b*log(x^n) + 2*a)^2 - (b^2*cos(4*b*log(c))^2 + b^2*sin(4*b*log(c))^2)*n^2*sin(4*b*log(x^n) + 4*a)^2 - 4*(b^2*cos(2*b*log(c))^2 + b^2*sin(2*b*log(c))^2)*n^2*sin(2*b*log(x^n) + 2*a)^2 - b^2*n^2 - 2*(b^2*n^2*cos(4*b*log(c)) - 2*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2*cos(2*b*log(x^n) + 2*a) - 2*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) + 2*(b^2*n^2*sin(4*b*log(c)) - 2*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2*cos(2*b*log(x^n) + 2*a) + 2*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","F",0
298,1,2168,0,0.656078," ","integrate(csc(a+b*log(c*x^n))^3/x,x, algorithm=""maxima"")","\frac{4 \, {\left({\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) + {\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + {\left(\cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, {\left(2 \, {\left(\cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(3 \, b \log\left(c\right)\right)\right)} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 8 \, {\left({\left(\cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) + {\left(\cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, \cos\left(b \log\left(c\right)\right) \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 2 \, {\left(2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 1\right)} \log\left({\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \cos\left(b \log\left(c\right)\right)^{2} + {\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \sin\left(b \log\left(c\right)\right)^{2} + 2 \, {\left(\cos\left(b \log\left(c\right)\right) \cos\left(a\right) - \sin\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \cos\left(b \log\left(x^{n}\right)\right) + \cos\left(b \log\left(x^{n}\right)\right)^{2} - 2 \, {\left(\cos\left(a\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \sin\left(b \log\left(x^{n}\right)\right) + \sin\left(b \log\left(x^{n}\right)\right)^{2}\right) + {\left({\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 2 \, {\left(2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 1\right)} \log\left({\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \cos\left(b \log\left(c\right)\right)^{2} + {\left(\cos\left(a\right)^{2} + \sin\left(a\right)^{2}\right)} \sin\left(b \log\left(c\right)\right)^{2} - 2 \, {\left(\cos\left(b \log\left(c\right)\right) \cos\left(a\right) - \sin\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \cos\left(b \log\left(x^{n}\right)\right) + \cos\left(b \log\left(x^{n}\right)\right)^{2} + 2 \, {\left(\cos\left(a\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right) \sin\left(a\right)\right)} \sin\left(b \log\left(x^{n}\right)\right) + \sin\left(b \log\left(x^{n}\right)\right)^{2}\right) - 4 \, {\left({\left(\cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + {\left(\cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, {\left(2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(\cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(3 \, b \log\left(c\right)\right)\right)} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 8 \, {\left({\left(\cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} \cos\left(b \log\left(x^{n}\right) + a\right) - {\left(\cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 4 \, \sin\left(b \log\left(c\right)\right) \sin\left(b \log\left(x^{n}\right) + a\right)}{4 \, {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 4 \, b n \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, b n \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + b n + 2 \, {\left(b n \cos\left(4 \, b \log\left(c\right)\right) - 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(2 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - b n \sin\left(4 \, b \log\left(c\right)\right) - 2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"1/4*(4*((cos(4*b*log(c))*cos(3*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)))*cos(3*b*log(x^n) + 3*a) + (cos(4*b*log(c))*cos(b*log(c)) + sin(4*b*log(c))*sin(b*log(c)))*cos(b*log(x^n) + a) + (cos(3*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(3*b*log(c)))*sin(3*b*log(x^n) + 3*a) + (cos(b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(b*log(c)))*sin(b*log(x^n) + a))*cos(4*b*log(x^n) + 4*a) - 4*(2*(cos(3*b*log(c))*cos(2*b*log(c)) + sin(3*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*(cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(3*b*log(c)))*cos(3*b*log(x^n) + 3*a) - 8*((cos(2*b*log(c))*cos(b*log(c)) + sin(2*b*log(c))*sin(b*log(c)))*cos(b*log(x^n) + a) + (cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)))*sin(b*log(x^n) + a))*cos(2*b*log(x^n) + 2*a) + 4*cos(b*log(c))*cos(b*log(x^n) + a) - ((cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + (cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 - 2*(2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 4*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 2*(2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 1)*log((cos(a)^2 + sin(a)^2)*cos(b*log(c))^2 + (cos(a)^2 + sin(a)^2)*sin(b*log(c))^2 + 2*(cos(b*log(c))*cos(a) - sin(b*log(c))*sin(a))*cos(b*log(x^n)) + cos(b*log(x^n))^2 - 2*(cos(a)*sin(b*log(c)) + cos(b*log(c))*sin(a))*sin(b*log(x^n)) + sin(b*log(x^n))^2) + ((cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + (cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 - 2*(2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 4*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 2*(2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 1)*log((cos(a)^2 + sin(a)^2)*cos(b*log(c))^2 + (cos(a)^2 + sin(a)^2)*sin(b*log(c))^2 - 2*(cos(b*log(c))*cos(a) - sin(b*log(c))*sin(a))*cos(b*log(x^n)) + cos(b*log(x^n))^2 + 2*(cos(a)*sin(b*log(c)) + cos(b*log(c))*sin(a))*sin(b*log(x^n)) + sin(b*log(x^n))^2) - 4*((cos(3*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(3*b*log(c)))*cos(3*b*log(x^n) + 3*a) + (cos(b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(b*log(c)))*cos(b*log(x^n) + a) - (cos(4*b*log(c))*cos(3*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)))*sin(3*b*log(x^n) + 3*a) - (cos(4*b*log(c))*cos(b*log(c)) + sin(4*b*log(c))*sin(b*log(c)))*sin(b*log(x^n) + a))*sin(4*b*log(x^n) + 4*a) + 4*(2*(cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(cos(3*b*log(c))*cos(2*b*log(c)) + sin(3*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(3*b*log(c)))*sin(3*b*log(x^n) + 3*a) + 8*((cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)))*cos(b*log(x^n) + a) - (cos(2*b*log(c))*cos(b*log(c)) + sin(2*b*log(c))*sin(b*log(c)))*sin(b*log(x^n) + a))*sin(2*b*log(x^n) + 2*a) - 4*sin(b*log(c))*sin(b*log(x^n) + a))/((b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2 - 4*b*n*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 4*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 + (b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*sin(4*b*log(x^n) + 4*a)^2 + 4*b*n*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 4*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + b*n + 2*(b*n*cos(4*b*log(c)) - 2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - 2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) + 2*(2*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - b*n*sin(4*b*log(c)) - 2*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","B",0
299,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^4,x, algorithm=""maxima"")","\frac{6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 6 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 6 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 6 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - {\left(2 \, b n \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(2 \, b n \sin\left(2 \, b \log\left(c\right)\right) + \cos\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left({\left(2 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(6 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(6 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(4 \, b^{2} n^{2} \sin\left(6 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right)\right)} x\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + {\left(3 \, {\left(12 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(12 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(6 \, b^{2} n^{2} \sin\left(4 \, b \log\left(c\right)\right) - b n \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right)\right)} x\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + \frac{1}{2} \, {\left(4 \, b^{8} n^{8} + b^{6} n^{6} + {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 2 \, {\left(4 \, b^{8} n^{8} \cos\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(4 \, b^{8} n^{8} \cos\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 6 \, {\left(4 \, b^{8} n^{8} \cos\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(4 \, b^{8} n^{8} \sin\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(4 \, b^{8} n^{8} \sin\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 6 \, {\left(4 \, b^{8} n^{8} \sin\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \int \frac{\cos\left(b \log\left(x^{n}\right) + a\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right) \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, b^{6} n^{6} \cos\left(b \log\left(c\right)\right) \cos\left(b \log\left(x^{n}\right) + a\right) - 2 \, b^{6} n^{6} \sin\left(b \log\left(c\right)\right) \sin\left(b \log\left(x^{n}\right) + a\right) + b^{6} n^{6} + {\left(b^{6} \cos\left(b \log\left(c\right)\right)^{2} + b^{6} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{6} \cos\left(b \log\left(x^{n}\right) + a\right)^{2} + {\left(b^{6} \cos\left(b \log\left(c\right)\right)^{2} + b^{6} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{6} \sin\left(b \log\left(x^{n}\right) + a\right)^{2}}\,{d x} + \frac{1}{2} \, {\left(4 \, b^{8} n^{8} + b^{6} n^{6} + {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 9 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{8} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{6} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 2 \, {\left(4 \, b^{8} n^{8} \cos\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(4 \, b^{8} n^{8} \cos\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 6 \, {\left(4 \, b^{8} n^{8} \cos\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \cos\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(4 \, b^{8} n^{8} \sin\left(6 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{8} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{6} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(4 \, b^{8} n^{8} \sin\left(4 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(4 \, {\left(b^{8} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{8} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{6} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(4 \, {\left(b^{8} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{8} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{8} + {\left(b^{6} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{6} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{6}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 6 \, {\left(4 \, b^{8} n^{8} \sin\left(2 \, b \log\left(c\right)\right) + b^{6} n^{6} \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \int \frac{\cos\left(b \log\left(x^{n}\right) + a\right) \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right) \sin\left(b \log\left(x^{n}\right) + a\right)}{2 \, b^{6} n^{6} \cos\left(b \log\left(c\right)\right) \cos\left(b \log\left(x^{n}\right) + a\right) - 2 \, b^{6} n^{6} \sin\left(b \log\left(c\right)\right) \sin\left(b \log\left(x^{n}\right) + a\right) - b^{6} n^{6} - {\left(b^{6} \cos\left(b \log\left(c\right)\right)^{2} + b^{6} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{6} \cos\left(b \log\left(x^{n}\right) + a\right)^{2} - {\left(b^{6} \cos\left(b \log\left(c\right)\right)^{2} + b^{6} \sin\left(b \log\left(c\right)\right)^{2}\right)} n^{6} \sin\left(b \log\left(x^{n}\right) + a\right)^{2}}\,{d x} + {\left({\left(2 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(6 \, {\left(b^{2} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(2 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} x \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(6 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{2} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + {\left(4 \, b^{2} n^{2} \cos\left(6 \, b \log\left(c\right)\right) + \cos\left(6 \, b \log\left(c\right)\right)\right)} x\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + {\left(3 \, {\left(12 \, {\left(b^{2} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{2} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} + 4 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(12 \, {\left(b^{2} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{2} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{2} - 4 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(6 \, b^{2} n^{2} \cos\left(4 \, b \log\left(c\right)\right) + b n \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right)\right)} x\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)}{3 \, {\left(6 \, b^{3} n^{3} \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 6 \, b^{3} n^{3} \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - b^{3} n^{3} - {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} - 9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 9 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} - 9 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 9 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right)^{2} + b^{3} \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + 2 \, {\left(b^{3} n^{3} \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 6 \, {\left(b^{3} n^{3} \cos\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 2 \, {\left(b^{3} n^{3} \sin\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b^{3} \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b^{3} \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b^{3} n^{3} \sin\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(b^{3} \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b^{3} \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b^{3} \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b^{3} \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n^{3} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"1/3*(6*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*x*cos(4*b*log(x^n) + 4*a)^2 + 6*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*x*cos(2*b*log(x^n) + 2*a)^2 + 6*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*x*sin(4*b*log(x^n) + 4*a)^2 + 6*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*x*sin(2*b*log(x^n) + 2*a)^2 - (2*b*n*cos(2*b*log(c)) - sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + (2*b*n*sin(2*b*log(c)) + cos(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) - ((2*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n - cos(4*b*log(c))*sin(6*b*log(c)) + cos(6*b*log(c))*sin(4*b*log(c)))*x*cos(4*b*log(x^n) + 4*a) + 2*(6*(b^2*cos(2*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(2*b*log(c)))*n^2 - (b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + (2*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n + cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*x*sin(4*b*log(x^n) + 4*a) - 2*(6*(b^2*cos(6*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n + cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) - (4*b^2*n^2*sin(6*b*log(c)) + sin(6*b*log(c)))*x)*cos(6*b*log(x^n) + 6*a) + (3*(12*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 - 4*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) - 3*(12*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) - 2*(6*b^2*n^2*sin(4*b*log(c)) - b*n*cos(4*b*log(c)) + sin(4*b*log(c)))*x)*cos(4*b*log(x^n) + 4*a) + 18*(4*b^8*n^8 + b^6*n^6 + (4*(b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*cos(6*b*log(x^n) + 6*a)^2 + 9*(4*(b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*cos(4*b*log(x^n) + 4*a)^2 + 9*(4*(b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*cos(2*b*log(x^n) + 2*a)^2 + (4*(b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*sin(6*b*log(x^n) + 6*a)^2 + 9*(4*(b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*sin(4*b*log(x^n) + 4*a)^2 + 9*(4*(b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*sin(2*b*log(x^n) + 2*a)^2 - 2*(4*b^8*n^8*cos(6*b*log(c)) + b^6*n^6*cos(6*b*log(c)) + 3*(4*(b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*cos(4*b*log(x^n) + 4*a) - 3*(4*(b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) + 3*(4*(b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*sin(4*b*log(x^n) + 4*a) - 3*(4*(b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(4*b^8*n^8*cos(4*b*log(c)) + b^6*n^6*cos(4*b*log(c)) - 3*(4*(b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) - 3*(4*(b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 6*(4*b^8*n^8*cos(2*b*log(c)) + b^6*n^6*cos(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*(4*b^8*n^8*sin(6*b*log(c)) + b^6*n^6*sin(6*b*log(c)) + 3*(4*(b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*cos(4*b*log(x^n) + 4*a) - 3*(4*(b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) - 3*(4*(b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*sin(4*b*log(x^n) + 4*a) + 3*(4*(b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) - 6*(4*b^8*n^8*sin(4*b*log(c)) + b^6*n^6*sin(4*b*log(c)) - 3*(4*(b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) + 3*(4*(b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a) + 6*(4*b^8*n^8*sin(2*b*log(c)) + b^6*n^6*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*integrate(1/36*(cos(b*log(x^n) + a)*sin(b*log(c)) + cos(b*log(c))*sin(b*log(x^n) + a))/(2*b^6*n^6*cos(b*log(c))*cos(b*log(x^n) + a) - 2*b^6*n^6*sin(b*log(c))*sin(b*log(x^n) + a) + b^6*n^6 + (b^6*cos(b*log(c))^2 + b^6*sin(b*log(c))^2)*n^6*cos(b*log(x^n) + a)^2 + (b^6*cos(b*log(c))^2 + b^6*sin(b*log(c))^2)*n^6*sin(b*log(x^n) + a)^2), x) - 18*(4*b^8*n^8 + b^6*n^6 + (4*(b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*cos(6*b*log(x^n) + 6*a)^2 + 9*(4*(b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*cos(4*b*log(x^n) + 4*a)^2 + 9*(4*(b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*cos(2*b*log(x^n) + 2*a)^2 + (4*(b^8*cos(6*b*log(c))^2 + b^8*sin(6*b*log(c))^2)*n^8 + (b^6*cos(6*b*log(c))^2 + b^6*sin(6*b*log(c))^2)*n^6)*sin(6*b*log(x^n) + 6*a)^2 + 9*(4*(b^8*cos(4*b*log(c))^2 + b^8*sin(4*b*log(c))^2)*n^8 + (b^6*cos(4*b*log(c))^2 + b^6*sin(4*b*log(c))^2)*n^6)*sin(4*b*log(x^n) + 4*a)^2 + 9*(4*(b^8*cos(2*b*log(c))^2 + b^8*sin(2*b*log(c))^2)*n^8 + (b^6*cos(2*b*log(c))^2 + b^6*sin(2*b*log(c))^2)*n^6)*sin(2*b*log(x^n) + 2*a)^2 - 2*(4*b^8*n^8*cos(6*b*log(c)) + b^6*n^6*cos(6*b*log(c)) + 3*(4*(b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*cos(4*b*log(x^n) + 4*a) - 3*(4*(b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) + 3*(4*(b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*sin(4*b*log(x^n) + 4*a) - 3*(4*(b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(4*b^8*n^8*cos(4*b*log(c)) + b^6*n^6*cos(4*b*log(c)) - 3*(4*(b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) - 3*(4*(b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 6*(4*b^8*n^8*cos(2*b*log(c)) + b^6*n^6*cos(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*(4*b^8*n^8*sin(6*b*log(c)) + b^6*n^6*sin(6*b*log(c)) + 3*(4*(b^8*cos(4*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(4*b*log(c)))*n^6)*cos(4*b*log(x^n) + 4*a) - 3*(4*(b^8*cos(2*b*log(c))*sin(6*b*log(c)) - b^8*cos(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(6*b*log(c)) - b^6*cos(6*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) - 3*(4*(b^8*cos(6*b*log(c))*cos(4*b*log(c)) + b^8*sin(6*b*log(c))*sin(4*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(4*b*log(c)) + b^6*sin(6*b*log(c))*sin(4*b*log(c)))*n^6)*sin(4*b*log(x^n) + 4*a) + 3*(4*(b^8*cos(6*b*log(c))*cos(2*b*log(c)) + b^8*sin(6*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(6*b*log(c))*cos(2*b*log(c)) + b^6*sin(6*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) - 6*(4*b^8*n^8*sin(4*b*log(c)) + b^6*n^6*sin(4*b*log(c)) - 3*(4*(b^8*cos(2*b*log(c))*sin(4*b*log(c)) - b^8*cos(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(2*b*log(c))*sin(4*b*log(c)) - b^6*cos(4*b*log(c))*sin(2*b*log(c)))*n^6)*cos(2*b*log(x^n) + 2*a) + 3*(4*(b^8*cos(4*b*log(c))*cos(2*b*log(c)) + b^8*sin(4*b*log(c))*sin(2*b*log(c)))*n^8 + (b^6*cos(4*b*log(c))*cos(2*b*log(c)) + b^6*sin(4*b*log(c))*sin(2*b*log(c)))*n^6)*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a) + 6*(4*b^8*n^8*sin(2*b*log(c)) + b^6*n^6*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a))*integrate(-1/36*(cos(b*log(x^n) + a)*sin(b*log(c)) + cos(b*log(c))*sin(b*log(x^n) + a))/(2*b^6*n^6*cos(b*log(c))*cos(b*log(x^n) + a) - 2*b^6*n^6*sin(b*log(c))*sin(b*log(x^n) + a) - b^6*n^6 - (b^6*cos(b*log(c))^2 + b^6*sin(b*log(c))^2)*n^6*cos(b*log(x^n) + a)^2 - (b^6*cos(b*log(c))^2 + b^6*sin(b*log(c))^2)*n^6*sin(b*log(x^n) + a)^2), x) + ((2*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n + cos(6*b*log(c))*cos(4*b*log(c)) + sin(6*b*log(c))*sin(4*b*log(c)))*x*cos(4*b*log(x^n) + 4*a) - 2*(6*(b^2*cos(6*b*log(c))*cos(2*b*log(c)) + b^2*sin(6*b*log(c))*sin(2*b*log(c)))*n^2 + (b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n + cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) - (2*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n - cos(4*b*log(c))*sin(6*b*log(c)) + cos(6*b*log(c))*sin(4*b*log(c)))*x*sin(4*b*log(x^n) + 4*a) - 2*(6*(b^2*cos(2*b*log(c))*sin(6*b*log(c)) - b^2*cos(6*b*log(c))*sin(2*b*log(c)))*n^2 - (b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) + (4*b^2*n^2*cos(6*b*log(c)) + cos(6*b*log(c)))*x)*sin(6*b*log(x^n) + 6*a) + (3*(12*(b^2*cos(4*b*log(c))*cos(2*b*log(c)) + b^2*sin(4*b*log(c))*sin(2*b*log(c)))*n^2 + 4*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n + cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + 3*(12*(b^2*cos(2*b*log(c))*sin(4*b*log(c)) - b^2*cos(4*b*log(c))*sin(2*b*log(c)))*n^2 - 4*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) - 2*(6*b^2*n^2*cos(4*b*log(c)) + b*n*sin(4*b*log(c)) + cos(4*b*log(c)))*x)*sin(4*b*log(x^n) + 4*a))/(6*b^3*n^3*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) - 6*b^3*n^3*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) - b^3*n^3 - (b^3*cos(6*b*log(c))^2 + b^3*sin(6*b*log(c))^2)*n^3*cos(6*b*log(x^n) + 6*a)^2 - 9*(b^3*cos(4*b*log(c))^2 + b^3*sin(4*b*log(c))^2)*n^3*cos(4*b*log(x^n) + 4*a)^2 - 9*(b^3*cos(2*b*log(c))^2 + b^3*sin(2*b*log(c))^2)*n^3*cos(2*b*log(x^n) + 2*a)^2 - (b^3*cos(6*b*log(c))^2 + b^3*sin(6*b*log(c))^2)*n^3*sin(6*b*log(x^n) + 6*a)^2 - 9*(b^3*cos(4*b*log(c))^2 + b^3*sin(4*b*log(c))^2)*n^3*sin(4*b*log(x^n) + 4*a)^2 - 9*(b^3*cos(2*b*log(c))^2 + b^3*sin(2*b*log(c))^2)*n^3*sin(2*b*log(x^n) + 2*a)^2 + 2*(b^3*n^3*cos(6*b*log(c)) + 3*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)))*n^3*cos(4*b*log(x^n) + 4*a) - 3*(b^3*cos(6*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) + 3*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)))*n^3*sin(4*b*log(x^n) + 4*a) - 3*(b^3*cos(2*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) - 6*(b^3*n^3*cos(4*b*log(c)) - 3*(b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) - 3*(b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) - 2*(b^3*n^3*sin(6*b*log(c)) + 3*(b^3*cos(4*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(4*b*log(c)))*n^3*cos(4*b*log(x^n) + 4*a) - 3*(b^3*cos(2*b*log(c))*sin(6*b*log(c)) - b^3*cos(6*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) - 3*(b^3*cos(6*b*log(c))*cos(4*b*log(c)) + b^3*sin(6*b*log(c))*sin(4*b*log(c)))*n^3*sin(4*b*log(x^n) + 4*a) + 3*(b^3*cos(6*b*log(c))*cos(2*b*log(c)) + b^3*sin(6*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) + 6*(b^3*n^3*sin(4*b*log(c)) - 3*(b^3*cos(2*b*log(c))*sin(4*b*log(c)) - b^3*cos(4*b*log(c))*sin(2*b*log(c)))*n^3*cos(2*b*log(x^n) + 2*a) + 3*(b^3*cos(4*b*log(c))*cos(2*b*log(c)) + b^3*sin(4*b*log(c))*sin(2*b*log(c)))*n^3*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","F",0
300,1,1332,0,0.750991," ","integrate(csc(a+b*log(c*x^n))^4/x,x, algorithm=""maxima"")","\frac{4 \, {\left({\left(3 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(6 \, b \log\left(c\right)\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 3 \, {\left(3 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(3 \, {\left(\cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(6 \, b \log\left(c\right)\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) - 3 \, {\left(3 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}{3 \, {\left({\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} - 6 \, b n \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(b \cos\left(6 \, b \log\left(c\right)\right)^{2} + b \sin\left(6 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)^{2} + 9 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right)^{2} + b \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 6 \, b n \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 9 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right)^{2} + b \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + b n - 2 \, {\left(b n \cos\left(6 \, b \log\left(c\right)\right) + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(b n \cos\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 2 \, {\left(3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(6 \, b \log\left(c\right)\right) - b \cos\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + b n \sin\left(6 \, b \log\left(c\right)\right) - 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(4 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right)\right)} n \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 3 \, {\left(b \cos\left(6 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(6 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right) + 6 \, {\left(3 \, {\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - b n \sin\left(4 \, b \log\left(c\right)\right) - 3 \, {\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)\right)}}"," ",0,"4/3*((3*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 3*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(6*b*log(c)))*cos(6*b*log(x^n) + 6*a) - 3*(3*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 3*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) + (3*(cos(6*b*log(c))*cos(2*b*log(c)) + sin(6*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 3*(cos(2*b*log(c))*sin(6*b*log(c)) - cos(6*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(6*b*log(c)))*sin(6*b*log(x^n) + 6*a) - 3*(3*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 3*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(4*b*log(c)))*sin(4*b*log(x^n) + 4*a))/((b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*cos(6*b*log(x^n) + 6*a)^2 + 9*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*cos(4*b*log(x^n) + 4*a)^2 - 6*b*n*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 9*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*cos(2*b*log(x^n) + 2*a)^2 + (b*cos(6*b*log(c))^2 + b*sin(6*b*log(c))^2)*n*sin(6*b*log(x^n) + 6*a)^2 + 9*(b*cos(4*b*log(c))^2 + b*sin(4*b*log(c))^2)*n*sin(4*b*log(x^n) + 4*a)^2 + 6*b*n*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 9*(b*cos(2*b*log(c))^2 + b*sin(2*b*log(c))^2)*n*sin(2*b*log(x^n) + 2*a)^2 + b*n - 2*(b*n*cos(6*b*log(c)) + 3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) - 3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + 3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) - 3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(6*b*log(x^n) + 6*a) + 6*(b*n*cos(4*b*log(c)) - 3*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - 3*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*cos(4*b*log(x^n) + 4*a) + 2*(3*(b*cos(4*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(4*b*log(c)))*n*cos(4*b*log(x^n) + 4*a) - 3*(b*cos(2*b*log(c))*sin(6*b*log(c)) - b*cos(6*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) + b*n*sin(6*b*log(c)) - 3*(b*cos(6*b*log(c))*cos(4*b*log(c)) + b*sin(6*b*log(c))*sin(4*b*log(c)))*n*sin(4*b*log(x^n) + 4*a) + 3*(b*cos(6*b*log(c))*cos(2*b*log(c)) + b*sin(6*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(6*b*log(x^n) + 6*a) + 6*(3*(b*cos(2*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(2*b*log(c)))*n*cos(2*b*log(x^n) + 2*a) - b*n*sin(4*b*log(c)) - 3*(b*cos(4*b*log(c))*cos(2*b*log(c)) + b*sin(4*b*log(c))*sin(2*b*log(c)))*n*sin(2*b*log(x^n) + 2*a))*sin(4*b*log(x^n) + 4*a))","B",0
301,1,1701,0,0.657398," ","integrate(-(b^2*n^2+1)*csc(a+b*log(c*x^n))+2*b^2*n^2*csc(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{2 \, {\left({\left(b n \cos\left(b \log\left(c\right)\right) - \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) - {\left(b n \sin\left(b \log\left(c\right)\right) + \cos\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right) + {\left({\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) + {\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - {\left(2 \, {\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(b n \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(3 \, b \log\left(c\right)\right)\right)} x\right)} \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - 2 \, {\left({\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) + {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left({\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n + \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \cos\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + {\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - b \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(3 \, b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) + \cos\left(4 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right)\right)} x \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) - {\left({\left(b \cos\left(4 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + {\left(2 \, {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - b \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n - \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) - \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left({\left(b \cos\left(3 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + b \sin\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} n + \cos\left(2 \, b \log\left(c\right)\right) \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} x \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - {\left(b n \sin\left(3 \, b \log\left(c\right)\right) - \cos\left(3 \, b \log\left(c\right)\right)\right)} x\right)} \sin\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right) + 2 \, {\left({\left({\left(b \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - b \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n - \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) - \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \cos\left(b \log\left(x^{n}\right) + a\right) - {\left({\left(b \cos\left(2 \, b \log\left(c\right)\right) \cos\left(b \log\left(c\right)\right) + b \sin\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} n + \cos\left(b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right) - \cos\left(2 \, b \log\left(c\right)\right) \sin\left(b \log\left(c\right)\right)\right)} x \sin\left(b \log\left(x^{n}\right) + a\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)\right)}}{{\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} + {\left(\cos\left(4 \, b \log\left(c\right)\right)^{2} + \sin\left(4 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)^{2} + 4 \, {\left(\cos\left(2 \, b \log\left(c\right)\right)^{2} + \sin\left(2 \, b \log\left(c\right)\right)^{2}\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)^{2} - 2 \, {\left(2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \cos\left(4 \, b \log\left(c\right)\right)\right)} \cos\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) - 4 \, \cos\left(2 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 2 \, {\left(2 \, {\left(\cos\left(2 \, b \log\left(c\right)\right) \sin\left(4 \, b \log\left(c\right)\right) - \cos\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \cos\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - 2 \, {\left(\cos\left(4 \, b \log\left(c\right)\right) \cos\left(2 \, b \log\left(c\right)\right) + \sin\left(4 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(c\right)\right)\right)} \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) - \sin\left(4 \, b \log\left(c\right)\right)\right)} \sin\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right) + 4 \, \sin\left(2 \, b \log\left(c\right)\right) \sin\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right) + 1}"," ",0,"2*((b*n*cos(b*log(c)) - sin(b*log(c)))*x*cos(b*log(x^n) + a) - (b*n*sin(b*log(c)) + cos(b*log(c)))*x*sin(b*log(x^n) + a) + (((b*cos(4*b*log(c))*cos(3*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)))*n - cos(3*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(3*b*log(c)))*x*cos(3*b*log(x^n) + 3*a) + ((b*cos(4*b*log(c))*cos(b*log(c)) + b*sin(4*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) + ((b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)))*n + cos(4*b*log(c))*cos(3*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)))*x*sin(3*b*log(x^n) + 3*a) + ((b*cos(b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(b*log(c)))*n - cos(4*b*log(c))*cos(b*log(c)) - sin(4*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*cos(4*b*log(x^n) + 4*a) - (2*((b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) + 2*((b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n - cos(3*b*log(c))*cos(2*b*log(c)) - sin(3*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) - (b*n*cos(3*b*log(c)) + sin(3*b*log(c)))*x)*cos(3*b*log(x^n) + 3*a) - 2*(((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) + ((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)))*n - cos(2*b*log(c))*cos(b*log(c)) - sin(2*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*cos(2*b*log(x^n) + 2*a) - (((b*cos(3*b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(3*b*log(c)))*n + cos(4*b*log(c))*cos(3*b*log(c)) + sin(4*b*log(c))*sin(3*b*log(c)))*x*cos(3*b*log(x^n) + 3*a) + ((b*cos(b*log(c))*sin(4*b*log(c)) - b*cos(4*b*log(c))*sin(b*log(c)))*n - cos(4*b*log(c))*cos(b*log(c)) - sin(4*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) - ((b*cos(4*b*log(c))*cos(3*b*log(c)) + b*sin(4*b*log(c))*sin(3*b*log(c)))*n - cos(3*b*log(c))*sin(4*b*log(c)) + cos(4*b*log(c))*sin(3*b*log(c)))*x*sin(3*b*log(x^n) + 3*a) - ((b*cos(4*b*log(c))*cos(b*log(c)) + b*sin(4*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*sin(4*b*log(x^n) + 4*a) + (2*((b*cos(2*b*log(c))*sin(3*b*log(c)) - b*cos(3*b*log(c))*sin(2*b*log(c)))*n - cos(3*b*log(c))*cos(2*b*log(c)) - sin(3*b*log(c))*sin(2*b*log(c)))*x*cos(2*b*log(x^n) + 2*a) - 2*((b*cos(3*b*log(c))*cos(2*b*log(c)) + b*sin(3*b*log(c))*sin(2*b*log(c)))*n + cos(2*b*log(c))*sin(3*b*log(c)) - cos(3*b*log(c))*sin(2*b*log(c)))*x*sin(2*b*log(x^n) + 2*a) - (b*n*sin(3*b*log(c)) - cos(3*b*log(c)))*x)*sin(3*b*log(x^n) + 3*a) + 2*(((b*cos(b*log(c))*sin(2*b*log(c)) - b*cos(2*b*log(c))*sin(b*log(c)))*n - cos(2*b*log(c))*cos(b*log(c)) - sin(2*b*log(c))*sin(b*log(c)))*x*cos(b*log(x^n) + a) - ((b*cos(2*b*log(c))*cos(b*log(c)) + b*sin(2*b*log(c))*sin(b*log(c)))*n + cos(b*log(c))*sin(2*b*log(c)) - cos(2*b*log(c))*sin(b*log(c)))*x*sin(b*log(x^n) + a))*sin(2*b*log(x^n) + 2*a))/((cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*cos(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*cos(2*b*log(x^n) + 2*a)^2 + (cos(4*b*log(c))^2 + sin(4*b*log(c))^2)*sin(4*b*log(x^n) + 4*a)^2 + 4*(cos(2*b*log(c))^2 + sin(2*b*log(c))^2)*sin(2*b*log(x^n) + 2*a)^2 - 2*(2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) + 2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - cos(4*b*log(c)))*cos(4*b*log(x^n) + 4*a) - 4*cos(2*b*log(c))*cos(2*b*log(x^n) + 2*a) + 2*(2*(cos(2*b*log(c))*sin(4*b*log(c)) - cos(4*b*log(c))*sin(2*b*log(c)))*cos(2*b*log(x^n) + 2*a) - 2*(cos(4*b*log(c))*cos(2*b*log(c)) + sin(4*b*log(c))*sin(2*b*log(c)))*sin(2*b*log(x^n) + 2*a) - sin(4*b*log(c)))*sin(4*b*log(x^n) + 4*a) + 4*sin(2*b*log(c))*sin(2*b*log(x^n) + 2*a) + 1)","B",0
302,1,974,0,1.462389," ","integrate(x^m*csc(a+2*log(c*x^(1/2*(-(1+m)^2)^(1/2))))^3,x, algorithm=""maxima"")","\frac{2 \, {\left({\left(\cos\left(2 \, \log\left(c\right)\right) \sin\left(a\right) + \cos\left(a\right) \sin\left(2 \, \log\left(c\right)\right)\right)} x e^{\left(m \log\left(x\right) + 14 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 14 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + 2 \, {\left({\left({\left(\cos\left(a\right) \sin\left(2 \, a\right) - \cos\left(2 \, a\right) \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) - {\left(\cos\left(2 \, a\right) \cos\left(a\right) + \sin\left(2 \, a\right) \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} \cos\left(4 \, \log\left(c\right)\right) + {\left({\left(\cos\left(2 \, a\right) \cos\left(a\right) + \sin\left(2 \, a\right) \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) + {\left(\cos\left(a\right) \sin\left(2 \, a\right) - \cos\left(2 \, a\right) \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} x e^{\left(m \log\left(x\right) + 10 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 10 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} - {\left({\left({\left(\cos\left(a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) - {\left(\cos\left(4 \, a\right) \cos\left(a\right) + \sin\left(4 \, a\right) \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} \cos\left(8 \, \log\left(c\right)\right) + {\left({\left(\cos\left(4 \, a\right) \cos\left(a\right) + \sin\left(4 \, a\right) \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) + {\left(\cos\left(a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} \sin\left(8 \, \log\left(c\right)\right)\right)} x e^{\left(m \log\left(x\right) + 6 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 6 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)}\right)}}{{\left(\cos\left(4 \, a\right)^{2} + \sin\left(4 \, a\right)^{2}\right)} \cos\left(8 \, \log\left(c\right)\right)^{2} + {\left(\cos\left(4 \, a\right)^{2} + \sin\left(4 \, a\right)^{2}\right)} \sin\left(8 \, \log\left(c\right)\right)^{2} + {\left({\left(\cos\left(4 \, a\right)^{2} + \sin\left(4 \, a\right)^{2}\right)} \cos\left(8 \, \log\left(c\right)\right)^{2} + {\left(\cos\left(4 \, a\right)^{2} + \sin\left(4 \, a\right)^{2}\right)} \sin\left(8 \, \log\left(c\right)\right)^{2}\right)} m + {\left(m + 1\right)} e^{\left(16 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 16 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} - 4 \, {\left({\left(\cos\left(2 \, a\right) \cos\left(4 \, \log\left(c\right)\right) - \sin\left(2 \, a\right) \sin\left(4 \, \log\left(c\right)\right)\right)} m + \cos\left(2 \, a\right) \cos\left(4 \, \log\left(c\right)\right) - \sin\left(2 \, a\right) \sin\left(4 \, \log\left(c\right)\right)\right)} e^{\left(12 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 12 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + 2 \, {\left(2 \, {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \cos\left(4 \, \log\left(c\right)\right)^{2} + 2 \, {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \sin\left(4 \, \log\left(c\right)\right)^{2} + {\left(2 \, {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \cos\left(4 \, \log\left(c\right)\right)^{2} + 2 \, {\left(\cos\left(2 \, a\right)^{2} + \sin\left(2 \, a\right)^{2}\right)} \sin\left(4 \, \log\left(c\right)\right)^{2} + \cos\left(4 \, a\right) \cos\left(8 \, \log\left(c\right)\right) - \sin\left(4 \, a\right) \sin\left(8 \, \log\left(c\right)\right)\right)} m + \cos\left(4 \, a\right) \cos\left(8 \, \log\left(c\right)\right) - \sin\left(4 \, a\right) \sin\left(8 \, \log\left(c\right)\right)\right)} e^{\left(8 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 8 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} - 4 \, {\left({\left({\left({\left(\cos\left(4 \, a\right) \cos\left(2 \, a\right) + \sin\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) + {\left(\cos\left(2 \, a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} \cos\left(8 \, \log\left(c\right)\right) - {\left({\left(\cos\left(2 \, a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) - {\left(\cos\left(4 \, a\right) \cos\left(2 \, a\right) + \sin\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} \sin\left(8 \, \log\left(c\right)\right)\right)} m + {\left({\left(\cos\left(4 \, a\right) \cos\left(2 \, a\right) + \sin\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) + {\left(\cos\left(2 \, a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} \cos\left(8 \, \log\left(c\right)\right) - {\left({\left(\cos\left(2 \, a\right) \sin\left(4 \, a\right) - \cos\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) - {\left(\cos\left(4 \, a\right) \cos\left(2 \, a\right) + \sin\left(4 \, a\right) \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} \sin\left(8 \, \log\left(c\right)\right)\right)} e^{\left(4 \, \arctan\left(\sin\left(\frac{1}{2} \, m \log\left(x\right)\right), \cos\left(\frac{1}{2} \, m \log\left(x\right)\right)\right) + 4 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)}}"," ",0,"2*((cos(2*log(c))*sin(a) + cos(a)*sin(2*log(c)))*x*e^(m*log(x) + 14*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 14*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + 2*(((cos(a)*sin(2*a) - cos(2*a)*sin(a))*cos(2*log(c)) - (cos(2*a)*cos(a) + sin(2*a)*sin(a))*sin(2*log(c)))*cos(4*log(c)) + ((cos(2*a)*cos(a) + sin(2*a)*sin(a))*cos(2*log(c)) + (cos(a)*sin(2*a) - cos(2*a)*sin(a))*sin(2*log(c)))*sin(4*log(c)))*x*e^(m*log(x) + 10*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 10*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) - (((cos(a)*sin(4*a) - cos(4*a)*sin(a))*cos(2*log(c)) - (cos(4*a)*cos(a) + sin(4*a)*sin(a))*sin(2*log(c)))*cos(8*log(c)) + ((cos(4*a)*cos(a) + sin(4*a)*sin(a))*cos(2*log(c)) + (cos(a)*sin(4*a) - cos(4*a)*sin(a))*sin(2*log(c)))*sin(8*log(c)))*x*e^(m*log(x) + 6*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 6*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))))/((cos(4*a)^2 + sin(4*a)^2)*cos(8*log(c))^2 + (cos(4*a)^2 + sin(4*a)^2)*sin(8*log(c))^2 + ((cos(4*a)^2 + sin(4*a)^2)*cos(8*log(c))^2 + (cos(4*a)^2 + sin(4*a)^2)*sin(8*log(c))^2)*m + (m + 1)*e^(16*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 16*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) - 4*((cos(2*a)*cos(4*log(c)) - sin(2*a)*sin(4*log(c)))*m + cos(2*a)*cos(4*log(c)) - sin(2*a)*sin(4*log(c)))*e^(12*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 12*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + 2*(2*(cos(2*a)^2 + sin(2*a)^2)*cos(4*log(c))^2 + 2*(cos(2*a)^2 + sin(2*a)^2)*sin(4*log(c))^2 + (2*(cos(2*a)^2 + sin(2*a)^2)*cos(4*log(c))^2 + 2*(cos(2*a)^2 + sin(2*a)^2)*sin(4*log(c))^2 + cos(4*a)*cos(8*log(c)) - sin(4*a)*sin(8*log(c)))*m + cos(4*a)*cos(8*log(c)) - sin(4*a)*sin(8*log(c)))*e^(8*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 8*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) - 4*((((cos(4*a)*cos(2*a) + sin(4*a)*sin(2*a))*cos(4*log(c)) + (cos(2*a)*sin(4*a) - cos(4*a)*sin(2*a))*sin(4*log(c)))*cos(8*log(c)) - ((cos(2*a)*sin(4*a) - cos(4*a)*sin(2*a))*cos(4*log(c)) - (cos(4*a)*cos(2*a) + sin(4*a)*sin(2*a))*sin(4*log(c)))*sin(8*log(c)))*m + ((cos(4*a)*cos(2*a) + sin(4*a)*sin(2*a))*cos(4*log(c)) + (cos(2*a)*sin(4*a) - cos(4*a)*sin(2*a))*sin(4*log(c)))*cos(8*log(c)) - ((cos(2*a)*sin(4*a) - cos(4*a)*sin(2*a))*cos(4*log(c)) - (cos(4*a)*cos(2*a) + sin(4*a)*sin(2*a))*sin(4*log(c)))*sin(8*log(c)))*e^(4*arctan2(sin(1/2*m*log(x)), cos(1/2*m*log(x))) + 4*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))))","B",0
303,1,142,0,0.388696," ","integrate(x*csc(a+2*log(c*x^I))^3,x, algorithm=""maxima"")","\frac{{\left({\left(-i \, \cos\left(a\right) + \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) + {\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} x^{2} e^{\left(6 \, \arctan\left(\sin\left(\log\left(x\right)\right), \cos\left(\log\left(x\right)\right)\right)\right)}}{{\left(\cos\left(4 \, a\right) + i \, \sin\left(4 \, a\right)\right)} \cos\left(8 \, \log\left(c\right)\right) - {\left({\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) + 2 \, {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} e^{\left(4 \, \arctan\left(\sin\left(\log\left(x\right)\right), \cos\left(\log\left(x\right)\right)\right)\right)} + {\left(i \, \cos\left(4 \, a\right) - \sin\left(4 \, a\right)\right)} \sin\left(8 \, \log\left(c\right)\right) + e^{\left(8 \, \arctan\left(\sin\left(\log\left(x\right)\right), \cos\left(\log\left(x\right)\right)\right)\right)}}"," ",0,"((-I*cos(a) + sin(a))*cos(2*log(c)) + (cos(a) + I*sin(a))*sin(2*log(c)))*x^2*e^(6*arctan2(sin(log(x)), cos(log(x))))/((cos(4*a) + I*sin(4*a))*cos(8*log(c)) - ((2*cos(2*a) + 2*I*sin(2*a))*cos(4*log(c)) + 2*(I*cos(2*a) - sin(2*a))*sin(4*log(c)))*e^(4*arctan2(sin(log(x)), cos(log(x)))) + (I*cos(4*a) - sin(4*a))*sin(8*log(c)) + e^(8*arctan2(sin(log(x)), cos(log(x)))))","B",0
304,1,159,0,0.399334," ","integrate(csc(a+2*log(c*x^(1/2*I)))^3,x, algorithm=""maxima"")","-\frac{{\left(2 \, {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \cos\left(2 \, \log\left(c\right)\right) - {\left(2 \, \cos\left(a\right) + 2 i \, \sin\left(a\right)\right)} \sin\left(2 \, \log\left(c\right)\right)\right)} x e^{\left(6 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)}}{{\left(\cos\left(4 \, a\right) + i \, \sin\left(4 \, a\right)\right)} \cos\left(8 \, \log\left(c\right)\right) - {\left({\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) + 2 \, {\left(i \, \cos\left(2 \, a\right) - \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} e^{\left(4 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + {\left(i \, \cos\left(4 \, a\right) - \sin\left(4 \, a\right)\right)} \sin\left(8 \, \log\left(c\right)\right) + e^{\left(8 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)}}"," ",0,"-(2*(I*cos(a) - sin(a))*cos(2*log(c)) - (2*cos(a) + 2*I*sin(a))*sin(2*log(c)))*x*e^(6*arctan2(sin(1/2*log(x)), cos(1/2*log(x))))/((cos(4*a) + I*sin(4*a))*cos(8*log(c)) - ((2*cos(2*a) + 2*I*sin(2*a))*cos(4*log(c)) + 2*(I*cos(2*a) - sin(2*a))*sin(4*log(c)))*e^(4*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + (I*cos(4*a) - sin(4*a))*sin(8*log(c)) + e^(8*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))))","B",0
305,1,166,0,0.396327," ","integrate(csc(a+2*log(c/(x^(1/2*I))))^3,x, algorithm=""maxima"")","\frac{{\left(2 \, {\left(i \, \cos\left(3 \, a\right) - \sin\left(3 \, a\right)\right)} \cos\left(6 \, \log\left(c\right)\right) - {\left(2 \, \cos\left(3 \, a\right) + 2 i \, \sin\left(3 \, a\right)\right)} \sin\left(6 \, \log\left(c\right)\right)\right)} x e^{\left(6 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)}}{{\left({\left(\cos\left(4 \, a\right) + i \, \sin\left(4 \, a\right)\right)} \cos\left(8 \, \log\left(c\right)\right) - {\left(-i \, \cos\left(4 \, a\right) + \sin\left(4 \, a\right)\right)} \sin\left(8 \, \log\left(c\right)\right)\right)} e^{\left(8 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} - {\left({\left(2 \, \cos\left(2 \, a\right) + 2 i \, \sin\left(2 \, a\right)\right)} \cos\left(4 \, \log\left(c\right)\right) - 2 \, {\left(-i \, \cos\left(2 \, a\right) + \sin\left(2 \, a\right)\right)} \sin\left(4 \, \log\left(c\right)\right)\right)} e^{\left(4 \, \arctan\left(\sin\left(\frac{1}{2} \, \log\left(x\right)\right), \cos\left(\frac{1}{2} \, \log\left(x\right)\right)\right)\right)} + 1}"," ",0,"(2*(I*cos(3*a) - sin(3*a))*cos(6*log(c)) - (2*cos(3*a) + 2*I*sin(3*a))*sin(6*log(c)))*x*e^(6*arctan2(sin(1/2*log(x)), cos(1/2*log(x))))/(((cos(4*a) + I*sin(4*a))*cos(8*log(c)) - (-I*cos(4*a) + sin(4*a))*sin(8*log(c)))*e^(8*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) - ((2*cos(2*a) + 2*I*sin(2*a))*cos(4*log(c)) - 2*(-I*cos(2*a) + sin(2*a))*sin(4*log(c)))*e^(4*arctan2(sin(1/2*log(x)), cos(1/2*log(x)))) + 1)","B",0
306,0,0,0,0.000000," ","integrate(csc(a+I*log(c*x^n)/n/(-2+p))^p,x, algorithm=""maxima"")","\int \csc\left(a + \frac{i \, \log\left(c x^{n}\right)}{n {\left(p - 2\right)}}\right)^{p}\,{d x}"," ",0,"integrate(csc(a + I*log(c*x^n)/(n*(p - 2)))^p, x)","F",0
307,0,0,0,0.000000," ","integrate(csc(a-I*log(c*x^n)/n/(-2+p))^p,x, algorithm=""maxima"")","\int \left(-\csc\left(-a + \frac{i \, \log\left(c x^{n}\right)}{n {\left(p - 2\right)}}\right)\right)^{p}\,{d x}"," ",0,"integrate((-csc(-a + I*log(c*x^n)/(n*(p - 2))))^p, x)","F",0
308,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\csc\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(csc(b*log(c*x^n) + a)), x)","F",0
309,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\csc\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(csc(b*log(c*x^n) + a))/x, x)","F",0
310,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^(3/2), x)","F",0
311,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
312,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^(5/2), x)","F",0
313,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""maxima"")","\int \frac{\csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
314,0,0,0,0.000000," ","integrate(1/csc(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\csc\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(csc(b*log(c*x^n) + a)), x)","F",0
315,0,0,0,0.000000," ","integrate(1/x/csc(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x \sqrt{\csc\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(csc(b*log(c*x^n) + a))), x)","F",0
316,0,0,0,0.000000," ","integrate(1/csc(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^(-3/2), x)","F",0
317,0,0,0,0.000000," ","integrate(1/x/csc(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x \csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*csc(b*log(c*x^n) + a)^(3/2)), x)","F",0
318,0,0,0,0.000000," ","integrate(1/csc(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^(-5/2), x)","F",0
319,0,0,0,0.000000," ","integrate(1/x/csc(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x \csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*csc(b*log(c*x^n) + a)^(5/2)), x)","F",0
320,0,0,0,0.000000," ","integrate((e*x)^m*csc(d*(a+b*log(c*x^n)))^3,x, algorithm=""maxima"")","-\frac{{\left(b d e^{m} n \cos\left(b d \log\left(c\right)\right) - e^{m} m \sin\left(b d \log\left(c\right)\right) - e^{m} \sin\left(b d \log\left(c\right)\right)\right)} x x^{m} \cos\left(b d \log\left(x^{n}\right) + a d\right) - {\left(b d e^{m} n \sin\left(b d \log\left(c\right)\right) + e^{m} m \cos\left(b d \log\left(c\right)\right) + e^{m} \cos\left(b d \log\left(c\right)\right)\right)} x x^{m} \sin\left(b d \log\left(x^{n}\right) + a d\right) - {\left({\left({\left(\cos\left(3 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m} m - {\left(b d \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(3 \, b d \log\left(c\right)\right) + b d \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(3 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \cos\left(3 \, b d \log\left(x^{n}\right) + 3 \, a d\right) - {\left({\left(\cos\left(b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b d \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + b d \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \cos\left(b d \log\left(x^{n}\right) + a d\right) - {\left({\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(3 \, b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b d \cos\left(3 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b d \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(3 \, b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \sin\left(3 \, b d \log\left(x^{n}\right) + 3 \, a d\right) + {\left({\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} m - {\left(b d \cos\left(b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b d \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \sin\left(b d \log\left(x^{n}\right) + a d\right)\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) - {\left(2 \, {\left({\left(\cos\left(2 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right) - \cos\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b d \cos\left(3 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b d \sin\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(2 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right) - \cos\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left({\left(\cos\left(3 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + \sin\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m - {\left(b d \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right) - b d \cos\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(3 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + \sin\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - {\left(b d e^{m} n \cos\left(3 \, b d \log\left(c\right)\right) + e^{m} m \sin\left(3 \, b d \log\left(c\right)\right) + e^{m} \sin\left(3 \, b d \log\left(c\right)\right)\right)} x x^{m}\right)} \cos\left(3 \, b d \log\left(x^{n}\right) + 3 \, a d\right) - 2 \, {\left({\left({\left(\cos\left(b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right) - \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b d \cos\left(2 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + b d \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right) - \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \cos\left(b d \log\left(x^{n}\right) + a d\right) - {\left({\left(\cos\left(2 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} m - {\left(b d \cos\left(b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right) - b d \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(2 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \sin\left(b d \log\left(x^{n}\right) + a d\right)\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + \frac{1}{2} \, {\left(b^{6} d^{6} e^{m} n^{6} + {\left(b^{4} d^{4} e^{m} m^{2} + 2 \, b^{4} d^{4} e^{m} m + b^{4} d^{4} e^{m}\right)} n^{4} + {\left({\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} + 4 \, {\left({\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + {\left({\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} + 4 \, {\left({\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + 2 \, {\left(b^{6} d^{6} e^{m} n^{6} \cos\left(4 \, b d \log\left(c\right)\right) + {\left(b^{4} d^{4} e^{m} m^{2} \cos\left(4 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \cos\left(4 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \cos\left(4 \, b d \log\left(c\right)\right)\right)} n^{4} - 2 \, {\left({\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left({\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) - 4 \, {\left(b^{6} d^{6} e^{m} n^{6} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(b^{4} d^{4} e^{m} m^{2} \cos\left(2 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \cos\left(2 \, b d \log\left(c\right)\right)\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left(b^{6} d^{6} e^{m} n^{6} \sin\left(4 \, b d \log\left(c\right)\right) + {\left(b^{4} d^{4} e^{m} m^{2} \sin\left(4 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \sin\left(4 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \sin\left(4 \, b d \log\left(c\right)\right)\right)} n^{4} - 2 \, {\left({\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + 2 \, {\left({\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) + 4 \, {\left(b^{6} d^{6} e^{m} n^{6} \sin\left(2 \, b d \log\left(c\right)\right) + {\left(b^{4} d^{4} e^{m} m^{2} \sin\left(2 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \sin\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \int \frac{x^{m} \cos\left(b d \log\left(x^{n}\right) + a d\right) \sin\left(b d \log\left(c\right)\right) + x^{m} \cos\left(b d \log\left(c\right)\right) \sin\left(b d \log\left(x^{n}\right) + a d\right)}{2 \, b^{4} d^{4} n^{4} \cos\left(b d \log\left(c\right)\right) \cos\left(b d \log\left(x^{n}\right) + a d\right) - 2 \, b^{4} d^{4} n^{4} \sin\left(b d \log\left(c\right)\right) \sin\left(b d \log\left(x^{n}\right) + a d\right) + b^{4} d^{4} n^{4} + {\left(b^{4} d^{4} \cos\left(b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(b d \log\left(c\right)\right)^{2}\right)} n^{4} \cos\left(b d \log\left(x^{n}\right) + a d\right)^{2} + {\left(b^{4} d^{4} \cos\left(b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(b d \log\left(c\right)\right)^{2}\right)} n^{4} \sin\left(b d \log\left(x^{n}\right) + a d\right)^{2}}\,{d x} - \frac{1}{2} \, {\left(b^{6} d^{6} e^{m} n^{6} + {\left(b^{4} d^{4} e^{m} m^{2} + 2 \, b^{4} d^{4} e^{m} m + b^{4} d^{4} e^{m}\right)} n^{4} + {\left({\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} + 4 \, {\left({\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + {\left({\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} + 4 \, {\left({\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{6} d^{6} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} + 2 \, {\left(b^{6} d^{6} e^{m} n^{6} \cos\left(4 \, b d \log\left(c\right)\right) + {\left(b^{4} d^{4} e^{m} m^{2} \cos\left(4 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \cos\left(4 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \cos\left(4 \, b d \log\left(c\right)\right)\right)} n^{4} - 2 \, {\left({\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left({\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) - 4 \, {\left(b^{6} d^{6} e^{m} n^{6} \cos\left(2 \, b d \log\left(c\right)\right) + {\left(b^{4} d^{4} e^{m} m^{2} \cos\left(2 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \cos\left(2 \, b d \log\left(c\right)\right)\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left(b^{6} d^{6} e^{m} n^{6} \sin\left(4 \, b d \log\left(c\right)\right) + {\left(b^{4} d^{4} e^{m} m^{2} \sin\left(4 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \sin\left(4 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \sin\left(4 \, b d \log\left(c\right)\right)\right)} n^{4} - 2 \, {\left({\left(b^{6} d^{6} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + 2 \, {\left({\left(b^{6} d^{6} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{6} d^{6} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n^{6} + {\left({\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m^{2} + 2 \, {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b^{4} d^{4} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) + 4 \, {\left(b^{6} d^{6} e^{m} n^{6} \sin\left(2 \, b d \log\left(c\right)\right) + {\left(b^{4} d^{4} e^{m} m^{2} \sin\left(2 \, b d \log\left(c\right)\right) + 2 \, b^{4} d^{4} e^{m} m \sin\left(2 \, b d \log\left(c\right)\right) + b^{4} d^{4} e^{m} \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{4}\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \int \frac{x^{m} \cos\left(b d \log\left(x^{n}\right) + a d\right) \sin\left(b d \log\left(c\right)\right) + x^{m} \cos\left(b d \log\left(c\right)\right) \sin\left(b d \log\left(x^{n}\right) + a d\right)}{2 \, b^{4} d^{4} n^{4} \cos\left(b d \log\left(c\right)\right) \cos\left(b d \log\left(x^{n}\right) + a d\right) - 2 \, b^{4} d^{4} n^{4} \sin\left(b d \log\left(c\right)\right) \sin\left(b d \log\left(x^{n}\right) + a d\right) - b^{4} d^{4} n^{4} - {\left(b^{4} d^{4} \cos\left(b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(b d \log\left(c\right)\right)^{2}\right)} n^{4} \cos\left(b d \log\left(x^{n}\right) + a d\right)^{2} - {\left(b^{4} d^{4} \cos\left(b d \log\left(c\right)\right)^{2} + b^{4} d^{4} \sin\left(b d \log\left(c\right)\right)^{2}\right)} n^{4} \sin\left(b d \log\left(x^{n}\right) + a d\right)^{2}}\,{d x} - {\left({\left({\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(3 \, b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b d \cos\left(3 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b d \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(3 \, b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \cos\left(3 \, b d \log\left(x^{n}\right) + 3 \, a d\right) - {\left({\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} m - {\left(b d \cos\left(b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b d \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(4 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \cos\left(b d \log\left(x^{n}\right) + a d\right) + {\left({\left(\cos\left(3 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m} m - {\left(b d \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(3 \, b d \log\left(c\right)\right) + b d \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(3 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \sin\left(3 \, b d \log\left(x^{n}\right) + 3 \, a d\right) - {\left({\left(\cos\left(b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b d \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + b d \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \sin\left(b d \log\left(x^{n}\right) + a d\right)\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) - {\left(2 \, {\left({\left(\cos\left(3 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + \sin\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m - {\left(b d \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right) - b d \cos\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(3 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + \sin\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + 2 \, {\left({\left(\cos\left(2 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right) - \cos\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b d \cos\left(3 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b d \sin\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(2 \, b d \log\left(c\right)\right) \sin\left(3 \, b d \log\left(c\right)\right) - \cos\left(3 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + {\left(b d e^{m} n \sin\left(3 \, b d \log\left(c\right)\right) - e^{m} m \cos\left(3 \, b d \log\left(c\right)\right) - e^{m} \cos\left(3 \, b d \log\left(c\right)\right)\right)} x x^{m}\right)} \sin\left(3 \, b d \log\left(x^{n}\right) + 3 \, a d\right) - 2 \, {\left({\left({\left(\cos\left(2 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} m - {\left(b d \cos\left(b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right) - b d \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(2 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \cos\left(b d \log\left(x^{n}\right) + a d\right) + {\left({\left(\cos\left(b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right) - \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} m + {\left(b d \cos\left(2 \, b d \log\left(c\right)\right) \cos\left(b d \log\left(c\right)\right) + b d \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m} n + {\left(\cos\left(b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right) - \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(b d \log\left(c\right)\right)\right)} e^{m}\right)} x x^{m} \sin\left(b d \log\left(x^{n}\right) + a d\right)\right)} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)}{4 \, b^{2} d^{2} n^{2} \cos\left(2 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 4 \, b^{2} d^{2} n^{2} \sin\left(2 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - b^{2} d^{2} n^{2} - {\left(b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{2} d^{2} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} n^{2} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} - 4 \, {\left(b^{2} d^{2} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{2} d^{2} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n^{2} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} - {\left(b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right)^{2} + b^{2} d^{2} \sin\left(4 \, b d \log\left(c\right)\right)^{2}\right)} n^{2} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)^{2} - 4 \, {\left(b^{2} d^{2} \cos\left(2 \, b d \log\left(c\right)\right)^{2} + b^{2} d^{2} \sin\left(2 \, b d \log\left(c\right)\right)^{2}\right)} n^{2} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)^{2} - 2 \, {\left(b^{2} d^{2} n^{2} \cos\left(4 \, b d \log\left(c\right)\right) - 2 \, {\left(b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{2} d^{2} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{2} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) - 2 \, {\left(b^{2} d^{2} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{2} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \cos\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right) + 2 \, {\left(b^{2} d^{2} n^{2} \sin\left(4 \, b d \log\left(c\right)\right) - 2 \, {\left(b^{2} d^{2} \cos\left(2 \, b d \log\left(c\right)\right) \sin\left(4 \, b d \log\left(c\right)\right) - b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{2} \cos\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right) + 2 \, {\left(b^{2} d^{2} \cos\left(4 \, b d \log\left(c\right)\right) \cos\left(2 \, b d \log\left(c\right)\right) + b^{2} d^{2} \sin\left(4 \, b d \log\left(c\right)\right) \sin\left(2 \, b d \log\left(c\right)\right)\right)} n^{2} \sin\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)\right)} \sin\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)}"," ",0,"-((b*d*e^m*n*cos(b*d*log(c)) - e^m*m*sin(b*d*log(c)) - e^m*sin(b*d*log(c)))*x*x^m*cos(b*d*log(x^n) + a*d) - (b*d*e^m*n*sin(b*d*log(c)) + e^m*m*cos(b*d*log(c)) + e^m*cos(b*d*log(c)))*x*x^m*sin(b*d*log(x^n) + a*d) - (((cos(3*b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m*m - (b*d*cos(4*b*d*log(c))*cos(3*b*d*log(c)) + b*d*sin(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m*n + (cos(3*b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m)*x*x^m*cos(3*b*d*log(x^n) + 3*a*d) - ((cos(b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(b*d*log(c)))*e^m*m + (b*d*cos(4*b*d*log(c))*cos(b*d*log(c)) + b*d*sin(4*b*d*log(c))*sin(b*d*log(c)))*e^m*n + (cos(b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(b*d*log(c)))*e^m)*x*x^m*cos(b*d*log(x^n) + a*d) - ((cos(4*b*d*log(c))*cos(3*b*d*log(c)) + sin(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m*m + (b*d*cos(3*b*d*log(c))*sin(4*b*d*log(c)) - b*d*cos(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m*n + (cos(4*b*d*log(c))*cos(3*b*d*log(c)) + sin(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m)*x*x^m*sin(3*b*d*log(x^n) + 3*a*d) + ((cos(4*b*d*log(c))*cos(b*d*log(c)) + sin(4*b*d*log(c))*sin(b*d*log(c)))*e^m*m - (b*d*cos(b*d*log(c))*sin(4*b*d*log(c)) - b*d*cos(4*b*d*log(c))*sin(b*d*log(c)))*e^m*n + (cos(4*b*d*log(c))*cos(b*d*log(c)) + sin(4*b*d*log(c))*sin(b*d*log(c)))*e^m)*x*x^m*sin(b*d*log(x^n) + a*d))*cos(4*b*d*log(x^n) + 4*a*d) - (2*((cos(2*b*d*log(c))*sin(3*b*d*log(c)) - cos(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b*d*cos(3*b*d*log(c))*cos(2*b*d*log(c)) + b*d*sin(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n + (cos(2*b*d*log(c))*sin(3*b*d*log(c)) - cos(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*x*x^m*cos(2*b*d*log(x^n) + 2*a*d) - 2*((cos(3*b*d*log(c))*cos(2*b*d*log(c)) + sin(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m - (b*d*cos(2*b*d*log(c))*sin(3*b*d*log(c)) - b*d*cos(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n + (cos(3*b*d*log(c))*cos(2*b*d*log(c)) + sin(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*x*x^m*sin(2*b*d*log(x^n) + 2*a*d) - (b*d*e^m*n*cos(3*b*d*log(c)) + e^m*m*sin(3*b*d*log(c)) + e^m*sin(3*b*d*log(c)))*x*x^m)*cos(3*b*d*log(x^n) + 3*a*d) - 2*(((cos(b*d*log(c))*sin(2*b*d*log(c)) - cos(2*b*d*log(c))*sin(b*d*log(c)))*e^m*m + (b*d*cos(2*b*d*log(c))*cos(b*d*log(c)) + b*d*sin(2*b*d*log(c))*sin(b*d*log(c)))*e^m*n + (cos(b*d*log(c))*sin(2*b*d*log(c)) - cos(2*b*d*log(c))*sin(b*d*log(c)))*e^m)*x*x^m*cos(b*d*log(x^n) + a*d) - ((cos(2*b*d*log(c))*cos(b*d*log(c)) + sin(2*b*d*log(c))*sin(b*d*log(c)))*e^m*m - (b*d*cos(b*d*log(c))*sin(2*b*d*log(c)) - b*d*cos(2*b*d*log(c))*sin(b*d*log(c)))*e^m*n + (cos(2*b*d*log(c))*cos(b*d*log(c)) + sin(2*b*d*log(c))*sin(b*d*log(c)))*e^m)*x*x^m*sin(b*d*log(x^n) + a*d))*cos(2*b*d*log(x^n) + 2*a*d) + 2*(b^6*d^6*e^m*n^6 + (b^4*d^4*e^m*m^2 + 2*b^4*d^4*e^m*m + b^4*d^4*e^m)*n^4 + ((b^6*d^6*cos(4*b*d*log(c))^2 + b^6*d^6*sin(4*b*d*log(c))^2)*e^m*n^6 + ((b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m)*n^4)*cos(4*b*d*log(x^n) + 4*a*d)^2 + 4*((b^6*d^6*cos(2*b*d*log(c))^2 + b^6*d^6*sin(2*b*d*log(c))^2)*e^m*n^6 + ((b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d)^2 + ((b^6*d^6*cos(4*b*d*log(c))^2 + b^6*d^6*sin(4*b*d*log(c))^2)*e^m*n^6 + ((b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m)*n^4)*sin(4*b*d*log(x^n) + 4*a*d)^2 + 4*((b^6*d^6*cos(2*b*d*log(c))^2 + b^6*d^6*sin(2*b*d*log(c))^2)*e^m*n^6 + ((b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d)^2 + 2*(b^6*d^6*e^m*n^6*cos(4*b*d*log(c)) + (b^4*d^4*e^m*m^2*cos(4*b*d*log(c)) + 2*b^4*d^4*e^m*m*cos(4*b*d*log(c)) + b^4*d^4*e^m*cos(4*b*d*log(c)))*n^4 - 2*((b^6*d^6*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^6*d^6*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 + ((b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d) - 2*((b^6*d^6*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^6*d^6*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 + ((b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*cos(4*b*d*log(x^n) + 4*a*d) - 4*(b^6*d^6*e^m*n^6*cos(2*b*d*log(c)) + (b^4*d^4*e^m*m^2*cos(2*b*d*log(c)) + 2*b^4*d^4*e^m*m*cos(2*b*d*log(c)) + b^4*d^4*e^m*cos(2*b*d*log(c)))*n^4)*cos(2*b*d*log(x^n) + 2*a*d) - 2*(b^6*d^6*e^m*n^6*sin(4*b*d*log(c)) + (b^4*d^4*e^m*m^2*sin(4*b*d*log(c)) + 2*b^4*d^4*e^m*m*sin(4*b*d*log(c)) + b^4*d^4*e^m*sin(4*b*d*log(c)))*n^4 - 2*((b^6*d^6*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^6*d^6*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 + ((b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d) + 2*((b^6*d^6*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^6*d^6*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 + ((b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*sin(4*b*d*log(x^n) + 4*a*d) + 4*(b^6*d^6*e^m*n^6*sin(2*b*d*log(c)) + (b^4*d^4*e^m*m^2*sin(2*b*d*log(c)) + 2*b^4*d^4*e^m*m*sin(2*b*d*log(c)) + b^4*d^4*e^m*sin(2*b*d*log(c)))*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*integrate(1/4*(x^m*cos(b*d*log(x^n) + a*d)*sin(b*d*log(c)) + x^m*cos(b*d*log(c))*sin(b*d*log(x^n) + a*d))/(2*b^4*d^4*n^4*cos(b*d*log(c))*cos(b*d*log(x^n) + a*d) - 2*b^4*d^4*n^4*sin(b*d*log(c))*sin(b*d*log(x^n) + a*d) + b^4*d^4*n^4 + (b^4*d^4*cos(b*d*log(c))^2 + b^4*d^4*sin(b*d*log(c))^2)*n^4*cos(b*d*log(x^n) + a*d)^2 + (b^4*d^4*cos(b*d*log(c))^2 + b^4*d^4*sin(b*d*log(c))^2)*n^4*sin(b*d*log(x^n) + a*d)^2), x) + 2*(b^6*d^6*e^m*n^6 + (b^4*d^4*e^m*m^2 + 2*b^4*d^4*e^m*m + b^4*d^4*e^m)*n^4 + ((b^6*d^6*cos(4*b*d*log(c))^2 + b^6*d^6*sin(4*b*d*log(c))^2)*e^m*n^6 + ((b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m)*n^4)*cos(4*b*d*log(x^n) + 4*a*d)^2 + 4*((b^6*d^6*cos(2*b*d*log(c))^2 + b^6*d^6*sin(2*b*d*log(c))^2)*e^m*n^6 + ((b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d)^2 + ((b^6*d^6*cos(4*b*d*log(c))^2 + b^6*d^6*sin(4*b*d*log(c))^2)*e^m*n^6 + ((b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(4*b*d*log(c))^2 + b^4*d^4*sin(4*b*d*log(c))^2)*e^m)*n^4)*sin(4*b*d*log(x^n) + 4*a*d)^2 + 4*((b^6*d^6*cos(2*b*d*log(c))^2 + b^6*d^6*sin(2*b*d*log(c))^2)*e^m*n^6 + ((b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m*m + (b^4*d^4*cos(2*b*d*log(c))^2 + b^4*d^4*sin(2*b*d*log(c))^2)*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d)^2 + 2*(b^6*d^6*e^m*n^6*cos(4*b*d*log(c)) + (b^4*d^4*e^m*m^2*cos(4*b*d*log(c)) + 2*b^4*d^4*e^m*m*cos(4*b*d*log(c)) + b^4*d^4*e^m*cos(4*b*d*log(c)))*n^4 - 2*((b^6*d^6*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^6*d^6*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 + ((b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d) - 2*((b^6*d^6*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^6*d^6*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 + ((b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*cos(4*b*d*log(x^n) + 4*a*d) - 4*(b^6*d^6*e^m*n^6*cos(2*b*d*log(c)) + (b^4*d^4*e^m*m^2*cos(2*b*d*log(c)) + 2*b^4*d^4*e^m*m*cos(2*b*d*log(c)) + b^4*d^4*e^m*cos(2*b*d*log(c)))*n^4)*cos(2*b*d*log(x^n) + 2*a*d) - 2*(b^6*d^6*e^m*n^6*sin(4*b*d*log(c)) + (b^4*d^4*e^m*m^2*sin(4*b*d*log(c)) + 2*b^4*d^4*e^m*m*sin(4*b*d*log(c)) + b^4*d^4*e^m*sin(4*b*d*log(c)))*n^4 - 2*((b^6*d^6*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^6*d^6*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 + ((b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^4*d^4*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*cos(2*b*d*log(x^n) + 2*a*d) + 2*((b^6*d^6*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^6*d^6*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n^6 + ((b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m^2 + 2*(b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b^4*d^4*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^4*d^4*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*sin(4*b*d*log(x^n) + 4*a*d) + 4*(b^6*d^6*e^m*n^6*sin(2*b*d*log(c)) + (b^4*d^4*e^m*m^2*sin(2*b*d*log(c)) + 2*b^4*d^4*e^m*m*sin(2*b*d*log(c)) + b^4*d^4*e^m*sin(2*b*d*log(c)))*n^4)*sin(2*b*d*log(x^n) + 2*a*d))*integrate(-1/4*(x^m*cos(b*d*log(x^n) + a*d)*sin(b*d*log(c)) + x^m*cos(b*d*log(c))*sin(b*d*log(x^n) + a*d))/(2*b^4*d^4*n^4*cos(b*d*log(c))*cos(b*d*log(x^n) + a*d) - 2*b^4*d^4*n^4*sin(b*d*log(c))*sin(b*d*log(x^n) + a*d) - b^4*d^4*n^4 - (b^4*d^4*cos(b*d*log(c))^2 + b^4*d^4*sin(b*d*log(c))^2)*n^4*cos(b*d*log(x^n) + a*d)^2 - (b^4*d^4*cos(b*d*log(c))^2 + b^4*d^4*sin(b*d*log(c))^2)*n^4*sin(b*d*log(x^n) + a*d)^2), x) - (((cos(4*b*d*log(c))*cos(3*b*d*log(c)) + sin(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m*m + (b*d*cos(3*b*d*log(c))*sin(4*b*d*log(c)) - b*d*cos(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m*n + (cos(4*b*d*log(c))*cos(3*b*d*log(c)) + sin(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m)*x*x^m*cos(3*b*d*log(x^n) + 3*a*d) - ((cos(4*b*d*log(c))*cos(b*d*log(c)) + sin(4*b*d*log(c))*sin(b*d*log(c)))*e^m*m - (b*d*cos(b*d*log(c))*sin(4*b*d*log(c)) - b*d*cos(4*b*d*log(c))*sin(b*d*log(c)))*e^m*n + (cos(4*b*d*log(c))*cos(b*d*log(c)) + sin(4*b*d*log(c))*sin(b*d*log(c)))*e^m)*x*x^m*cos(b*d*log(x^n) + a*d) + ((cos(3*b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m*m - (b*d*cos(4*b*d*log(c))*cos(3*b*d*log(c)) + b*d*sin(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m*n + (cos(3*b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(3*b*d*log(c)))*e^m)*x*x^m*sin(3*b*d*log(x^n) + 3*a*d) - ((cos(b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(b*d*log(c)))*e^m*m + (b*d*cos(4*b*d*log(c))*cos(b*d*log(c)) + b*d*sin(4*b*d*log(c))*sin(b*d*log(c)))*e^m*n + (cos(b*d*log(c))*sin(4*b*d*log(c)) - cos(4*b*d*log(c))*sin(b*d*log(c)))*e^m)*x*x^m*sin(b*d*log(x^n) + a*d))*sin(4*b*d*log(x^n) + 4*a*d) - (2*((cos(3*b*d*log(c))*cos(2*b*d*log(c)) + sin(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m - (b*d*cos(2*b*d*log(c))*sin(3*b*d*log(c)) - b*d*cos(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n + (cos(3*b*d*log(c))*cos(2*b*d*log(c)) + sin(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*x*x^m*cos(2*b*d*log(x^n) + 2*a*d) + 2*((cos(2*b*d*log(c))*sin(3*b*d*log(c)) - cos(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m*m + (b*d*cos(3*b*d*log(c))*cos(2*b*d*log(c)) + b*d*sin(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m*n + (cos(2*b*d*log(c))*sin(3*b*d*log(c)) - cos(3*b*d*log(c))*sin(2*b*d*log(c)))*e^m)*x*x^m*sin(2*b*d*log(x^n) + 2*a*d) + (b*d*e^m*n*sin(3*b*d*log(c)) - e^m*m*cos(3*b*d*log(c)) - e^m*cos(3*b*d*log(c)))*x*x^m)*sin(3*b*d*log(x^n) + 3*a*d) - 2*(((cos(2*b*d*log(c))*cos(b*d*log(c)) + sin(2*b*d*log(c))*sin(b*d*log(c)))*e^m*m - (b*d*cos(b*d*log(c))*sin(2*b*d*log(c)) - b*d*cos(2*b*d*log(c))*sin(b*d*log(c)))*e^m*n + (cos(2*b*d*log(c))*cos(b*d*log(c)) + sin(2*b*d*log(c))*sin(b*d*log(c)))*e^m)*x*x^m*cos(b*d*log(x^n) + a*d) + ((cos(b*d*log(c))*sin(2*b*d*log(c)) - cos(2*b*d*log(c))*sin(b*d*log(c)))*e^m*m + (b*d*cos(2*b*d*log(c))*cos(b*d*log(c)) + b*d*sin(2*b*d*log(c))*sin(b*d*log(c)))*e^m*n + (cos(b*d*log(c))*sin(2*b*d*log(c)) - cos(2*b*d*log(c))*sin(b*d*log(c)))*e^m)*x*x^m*sin(b*d*log(x^n) + a*d))*sin(2*b*d*log(x^n) + 2*a*d))/(4*b^2*d^2*n^2*cos(2*b*d*log(c))*cos(2*b*d*log(x^n) + 2*a*d) - 4*b^2*d^2*n^2*sin(2*b*d*log(c))*sin(2*b*d*log(x^n) + 2*a*d) - b^2*d^2*n^2 - (b^2*d^2*cos(4*b*d*log(c))^2 + b^2*d^2*sin(4*b*d*log(c))^2)*n^2*cos(4*b*d*log(x^n) + 4*a*d)^2 - 4*(b^2*d^2*cos(2*b*d*log(c))^2 + b^2*d^2*sin(2*b*d*log(c))^2)*n^2*cos(2*b*d*log(x^n) + 2*a*d)^2 - (b^2*d^2*cos(4*b*d*log(c))^2 + b^2*d^2*sin(4*b*d*log(c))^2)*n^2*sin(4*b*d*log(x^n) + 4*a*d)^2 - 4*(b^2*d^2*cos(2*b*d*log(c))^2 + b^2*d^2*sin(2*b*d*log(c))^2)*n^2*sin(2*b*d*log(x^n) + 2*a*d)^2 - 2*(b^2*d^2*n^2*cos(4*b*d*log(c)) - 2*(b^2*d^2*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^2*d^2*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*n^2*cos(2*b*d*log(x^n) + 2*a*d) - 2*(b^2*d^2*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^2*d^2*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*n^2*sin(2*b*d*log(x^n) + 2*a*d))*cos(4*b*d*log(x^n) + 4*a*d) + 2*(b^2*d^2*n^2*sin(4*b*d*log(c)) - 2*(b^2*d^2*cos(2*b*d*log(c))*sin(4*b*d*log(c)) - b^2*d^2*cos(4*b*d*log(c))*sin(2*b*d*log(c)))*n^2*cos(2*b*d*log(x^n) + 2*a*d) + 2*(b^2*d^2*cos(4*b*d*log(c))*cos(2*b*d*log(c)) + b^2*d^2*sin(4*b*d*log(c))*sin(2*b*d*log(c)))*n^2*sin(2*b*d*log(x^n) + 2*a*d))*sin(4*b*d*log(x^n) + 4*a*d))","F",0
321,-1,0,0,0.000000," ","integrate((e*x)^m*csc(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
322,0,0,0,0.000000," ","integrate((e*x)^m*csc(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\int \left(e x\right)^{m} \csc\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate((e*x)^m*csc((b*log(c*x^n) + a)*d), x)","F",0
323,0,0,0,0.000000," ","integrate(x^m*csc(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int x^{m} \csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(x^m*csc(b*log(c*x^n) + a)^(5/2), x)","F",0
324,0,0,0,0.000000," ","integrate(x^m*csc(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int x^{m} \csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x^m*csc(b*log(c*x^n) + a)^(3/2), x)","F",0
325,0,0,0,0.000000," ","integrate(x^m*csc(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int x^{m} \sqrt{\csc\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate(x^m*sqrt(csc(b*log(c*x^n) + a)), x)","F",0
326,0,0,0,0.000000," ","integrate(x^m/csc(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{\csc\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(x^m/sqrt(csc(b*log(c*x^n) + a)), x)","F",0
327,0,0,0,0.000000," ","integrate(x^m/csc(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^m/csc(b*log(c*x^n) + a)^(3/2), x)","F",0
328,0,0,0,0.000000," ","integrate((e*x)^m*csc(d*(a+b*log(c*x^n)))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \csc\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*csc((b*log(c*x^n) + a)*d)^p, x)","F",0
329,0,0,0,0.000000," ","integrate(x*csc(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\int x \csc\left(b \log\left(c x^{n}\right) + a\right)^{p}\,{d x}"," ",0,"integrate(x*csc(b*log(c*x^n) + a)^p, x)","F",0
330,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\int \csc\left(b \log\left(c x^{n}\right) + a\right)^{p}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^p, x)","F",0
