1,1,923,0,0.338434," ","integrate(x^2*sin(a+b*log(c*x^n)),x, algorithm=""giac"")","-\frac{b n x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b n x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - b n x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} - b n x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} - 4 \, b n x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) - 4 \, b n x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) - b n x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} - b n x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} + 6 \, x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 6 \, x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 6 \, x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 6 \, x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} + b n x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} + b n x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} - 6 \, x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - 6 \, x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - 6 \, x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right) - 6 \, x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)}{2 \, {\left(b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} + 9 \, \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 9 \, \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + 9 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 9\right)}}"," ",0,"-1/2*(b*n*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + b*n*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 - b*n*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 - b*n*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 - 4*b*n*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) - 4*b*n*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) - b*n*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a)^2 - b*n*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a)^2 + 6*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + 6*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + 6*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 + 6*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 + b*n*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b) + b*n*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b) - 6*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - 6*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - 6*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a) - 6*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a))/(b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + b^2*n^2*tan(1/2*a)^2 + b^2*n^2 + 9*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + 9*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + 9*tan(1/2*a)^2 + 9)","B",0
2,1,923,0,1.652946," ","integrate(x*sin(a+b*log(c*x^n)),x, algorithm=""giac"")","-\frac{b n x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b n x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - b n x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} - b n x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} - 4 \, b n x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) - 4 \, b n x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) - b n x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} - b n x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 4 \, x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 4 \, x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} + b n x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} + b n x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} - 4 \, x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - 4 \, x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - 4 \, x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right) - 4 \, x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)}{2 \, {\left(b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} + 4 \, \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 4\right)}}"," ",0,"-1/2*(b*n*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + b*n*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 - b*n*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 - b*n*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 - 4*b*n*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) - 4*b*n*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) - b*n*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a)^2 - b*n*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a)^2 + 4*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + 4*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + 4*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 + 4*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 + b*n*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b) + b*n*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b) - 4*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - 4*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - 4*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a) - 4*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a))/(b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + b^2*n^2*tan(1/2*a)^2 + b^2*n^2 + 4*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + 4*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + 4*tan(1/2*a)^2 + 4)","B",0
3,1,882,0,0.430460," ","integrate(sin(a+b*log(c*x^n)),x, algorithm=""giac"")","-\frac{b n x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b n x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - b n x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} - b n x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} - 4 \, b n x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) - 4 \, b n x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) - b n x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} - b n x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} + b n x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} + b n x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} - 2 \, x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - 2 \, x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - 2 \, x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right) - 2 \, x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)}{2 \, {\left(b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} + \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + \tan\left(\frac{1}{2} \, a\right)^{2} + 1\right)}}"," ",0,"-1/2*(b*n*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + b*n*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 - b*n*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 - b*n*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 - 4*b*n*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) - 4*b*n*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) - b*n*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a)^2 - b*n*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a)^2 + 2*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + 2*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + 2*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 + 2*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 + b*n*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b) + b*n*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b) - 2*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - 2*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - 2*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a) - 2*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a))/(b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + b^2*n^2*tan(1/2*a)^2 + b^2*n^2 + tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + tan(1/2*a)^2 + 1)","B",0
4,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)}{x}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)/x, x)","F",0
5,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)/x^2, x)","F",0
6,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)}{x^{3}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)/x^3, x)","F",0
7,1,833,0,0.504839," ","integrate(x^2*sin(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{6} \, x^{3} + \frac{4 \, b n x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 4 \, b n x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 4 \, b n x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} + 4 \, b n x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} - 3 \, x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - 3 \, x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - 4 \, b n x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 4 \, b n x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 4 \, b n x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right) - 4 \, b n x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right) + 3 \, x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 3 \, x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 12 \, x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + 12 \, x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + 3 \, x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right)^{2} + 3 \, x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right)^{2} - 3 \, x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} - 3 \, x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)}}{4 \, {\left(4 \, b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + 4 \, b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, b^{2} n^{2} \tan\left(a\right)^{2} + 4 \, b^{2} n^{2} + 9 \, \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + 9 \, \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 9 \, \tan\left(a\right)^{2} + 9\right)}}"," ",0,"1/6*x^3 + 1/4*(4*b*n*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 4*b*n*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 4*b*n*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 + 4*b*n*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 - 3*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - 3*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - 4*b*n*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 4*b*n*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 4*b*n*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a) - 4*b*n*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a) + 3*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 3*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 12*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + 12*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + 3*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a)^2 + 3*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a)^2 - 3*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b) - 3*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b))/(4*b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + 4*b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 4*b^2*n^2*tan(a)^2 + 4*b^2*n^2 + 9*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + 9*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 9*tan(a)^2 + 9)","B",0
8,1,820,0,0.503538," ","integrate(x*sin(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{4} \, x^{2} + \frac{2 \, b n x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 2 \, b n x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 2 \, b n x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} + 2 \, b n x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} - x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - 2 \, b n x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 2 \, b n x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 2 \, b n x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right) - 2 \, b n x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right) + x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + 4 \, x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right)^{2} + x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right)^{2} - x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} - x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)}}{8 \, {\left(b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + b^{2} n^{2} \tan\left(a\right)^{2} + b^{2} n^{2} + \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + \tan\left(a\right)^{2} + 1\right)}}"," ",0,"1/4*x^2 + 1/8*(2*b*n*x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 2*b*n*x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 2*b*n*x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 + 2*b*n*x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 - x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - 2*b*n*x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 2*b*n*x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 2*b*n*x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a) - 2*b*n*x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a) + x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 4*x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + 4*x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a)^2 + x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a)^2 - x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b) - x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b))/(b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + b^2*n^2*tan(a)^2 + b^2*n^2 + tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + tan(a)^2 + 1)","B",0
9,1,786,0,0.400168," ","integrate(sin(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{4 \, b n x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 4 \, b n x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 4 \, b n x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} + 4 \, b n x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} - x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - 4 \, b n x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 4 \, b n x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 4 \, b n x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right) - 4 \, b n x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right) + x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + 4 \, x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right)^{2} + x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right)^{2} - x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} - x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)}}{4 \, {\left(4 \, b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + 4 \, b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, b^{2} n^{2} \tan\left(a\right)^{2} + 4 \, b^{2} n^{2} + \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + \tan\left(a\right)^{2} + 1\right)}}"," ",0,"1/2*x + 1/4*(4*b*n*x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 4*b*n*x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 4*b*n*x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 + 4*b*n*x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 - x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - 4*b*n*x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 4*b*n*x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 4*b*n*x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a) - 4*b*n*x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a) + x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 4*x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + 4*x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a)^2 + x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a)^2 - x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b) - x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b))/(4*b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + 4*b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 4*b^2*n^2*tan(a)^2 + 4*b^2*n^2 + tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + tan(a)^2 + 1)","B",0
10,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^2/x, x)","F",0
11,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^2/x^2,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^2/x^2, x)","F",0
12,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^2/x^3,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^2/x^3, x)","F",0
13,-1,0,0,0.000000," ","integrate(x^2*sin(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,-1,0,0,0.000000," ","integrate(x*sin(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,-1,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^3/x,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^3/x, x)","F",0
17,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^3/x^2,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^3/x^2, x)","F",0
18,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^3/x^3,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{3}}{x^{3}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^3/x^3, x)","F",0
19,-1,0,0,0.000000," ","integrate(x^2*sin(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,-1,0,0,0.000000," ","integrate(x*sin(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,-1,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^4/x,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{4}}{x}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^4/x, x)","F",0
23,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^4/x^2,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{4}}{x^{2}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^4/x^2, x)","F",0
24,0,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^4/x^3,x, algorithm=""giac"")","\int \frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{4}}{x^{3}}\,{d x}"," ",0,"integrate(sin(b*log(c*x^n) + a)^4/x^3, x)","F",0
25,1,35,0,0.158839," ","integrate(sin(log(b*x+a)),x, algorithm=""giac"")","-\frac{{\left(b x + a\right)} \cos\left(\log\left(b x + a\right)\right)}{2 \, b} + \frac{{\left(b x + a\right)} \sin\left(\log\left(b x + a\right)\right)}{2 \, b}"," ",0,"-1/2*(b*x + a)*cos(log(b*x + a))/b + 1/2*(b*x + a)*sin(log(b*x + a))/b","A",0
26,1,272,0,2.076658," ","integrate(x^m*sin(a+log(c*x^n)*(-(1+m)^2/n^2)^(1/2)),x, algorithm=""giac"")","\frac{-i \, m n^{2} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + i \, m n^{2} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} - i \, n^{2} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} - i \, n x x^{m} {\left| m n + n \right|} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + i \, n^{2} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} - i \, n x x^{m} {\left| m n + n \right|} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)}}{2 \, {\left(m^{2} n^{2} + 2 \, m n^{2} - {\left(m n + n\right)}^{2} + n^{2}\right)}}"," ",0,"1/2*(-I*m*n^2*x*x^m*e^(I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + I*m*n^2*x*x^m*e^(-I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - I*n^2*x*x^m*e^(I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - I*n*x*x^m*abs(m*n + n)*e^(I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + I*n^2*x*x^m*e^(-I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - I*n*x*x^m*abs(m*n + n)*e^(-I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2))/(m^2*n^2 + 2*m*n^2 - (m*n + n)^2 + n^2)","C",0
27,1,1,0,0.574296," ","integrate(x^2*sin(a+3*log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
28,1,1,0,0.499292," ","integrate(x*sin(a+2*log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
29,1,1,0,0.427759," ","integrate(sin(a+log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
30,1,6,0,0.264766," ","integrate(sin(a)/x,x, algorithm=""giac"")","\log\left({\left| x \right|}\right) \sin\left(a\right)"," ",0,"log(abs(x))*sin(a)","A",0
31,0,0,0,0.000000," ","integrate(sin(a+log(c*x^n)*(-1/n^2)^(1/2))/x^2,x, algorithm=""giac"")","\int \frac{\sin\left(\sqrt{-\frac{1}{n^{2}}} \log\left(c x^{n}\right) + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(sin(sqrt(-1/n^2)*log(c*x^n) + a)/x^2, x)","F",0
32,0,0,0,0.000000," ","integrate(sin(a+2*log(c*x^n)*(-1/n^2)^(1/2))/x^3,x, algorithm=""giac"")","\int \frac{\sin\left(2 \, \sqrt{-\frac{1}{n^{2}}} \log\left(c x^{n}\right) + a\right)}{x^{3}}\,{d x}"," ",0,"integrate(sin(2*sqrt(-1/n^2)*log(c*x^n) + a)/x^3, x)","F",0
33,1,498,0,4.957899," ","integrate(x^m*sin(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^2,x, algorithm=""giac"")","-\frac{m^{2} n^{2} x x^{m} e^{\left(2 i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + m^{2} n^{2} x x^{m} e^{\left(-2 i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} - 2 \, m^{2} n^{2} x x^{m} + 2 \, m n^{2} x x^{m} e^{\left(2 i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + m n x x^{m} {\left| m n + n \right|} e^{\left(2 i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + 2 \, m n^{2} x x^{m} e^{\left(-2 i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} - m n x x^{m} {\left| m n + n \right|} e^{\left(-2 i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} - 4 \, m n^{2} x x^{m} + n^{2} x x^{m} e^{\left(2 i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + n x x^{m} {\left| m n + n \right|} e^{\left(2 i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + n^{2} x x^{m} e^{\left(-2 i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} - n x x^{m} {\left| m n + n \right|} e^{\left(-2 i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + 2 \, {\left(m n + n\right)}^{2} x x^{m} - 2 \, n^{2} x x^{m}}{4 \, {\left(m^{3} n^{2} + 3 \, m^{2} n^{2} - {\left(m n + n\right)}^{2} m + 3 \, m n^{2} - {\left(m n + n\right)}^{2} + n^{2}\right)}}"," ",0,"-1/4*(m^2*n^2*x*x^m*e^(2*I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + m^2*n^2*x*x^m*e^(-2*I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 2*m^2*n^2*x*x^m + 2*m*n^2*x*x^m*e^(2*I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + m*n*x*x^m*abs(m*n + n)*e^(2*I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 2*m*n^2*x*x^m*e^(-2*I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - m*n*x*x^m*abs(m*n + n)*e^(-2*I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 4*m*n^2*x*x^m + n^2*x*x^m*e^(2*I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + n*x*x^m*abs(m*n + n)*e^(2*I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + n^2*x*x^m*e^(-2*I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - n*x*x^m*abs(m*n + n)*e^(-2*I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 2*(m*n + n)^2*x*x^m - 2*n^2*x*x^m)/(m^3*n^2 + 3*m^2*n^2 - (m*n + n)^2*m + 3*m*n^2 - (m*n + n)^2 + n^2)","C",0
34,1,1,0,5.001297," ","integrate(x^2*sin(a+3/2*log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
35,1,1,0,0.958371," ","integrate(x*sin(a+log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
36,1,1,0,0.804868," ","integrate(sin(a+1/2*log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
37,1,8,0,0.164056," ","integrate(sin(a)^2/x,x, algorithm=""giac"")","\log\left({\left| x \right|}\right) \sin\left(a\right)^{2}"," ",0,"log(abs(x))*sin(a)^2","A",0
38,0,0,0,0.000000," ","integrate(sin(a+1/2*log(c*x^n)*(-1/n^2)^(1/2))^2/x^2,x, algorithm=""giac"")","\int \frac{\sin\left(\frac{1}{2} \, \sqrt{-\frac{1}{n^{2}}} \log\left(c x^{n}\right) + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(sin(1/2*sqrt(-1/n^2)*log(c*x^n) + a)^2/x^2, x)","F",0
39,0,0,0,0.000000," ","integrate(sin(a+log(c*x^n)*(-1/n^2)^(1/2))^2/x^3,x, algorithm=""giac"")","\int \frac{\sin\left(\sqrt{-\frac{1}{n^{2}}} \log\left(c x^{n}\right) + a\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(sin(sqrt(-1/n^2)*log(c*x^n) + a)^2/x^3, x)","F",0
40,1,1870,0,10.244848," ","integrate(x^m*sin(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^3,x, algorithm=""giac"")","\frac{8 i \, m^{3} n^{4} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 24 i \, m^{3} n^{4} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 24 i \, m^{3} n^{4} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 8 i \, m^{3} n^{4} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 24 i \, m^{2} n^{4} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 12 i \, m^{2} n^{3} x x^{m} {\left| m n + n \right|} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 72 i \, m^{2} n^{4} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 12 i \, m^{2} n^{3} x x^{m} {\left| m n + n \right|} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 72 i \, m^{2} n^{4} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 12 i \, m^{2} n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 24 i \, m^{2} n^{4} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 12 i \, m^{2} n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 2 i \, {\left(m n + n\right)}^{2} m n^{2} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 24 i \, m n^{4} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 24 i \, m n^{3} x x^{m} {\left| m n + n \right|} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 54 i \, {\left(m n + n\right)}^{2} m n^{2} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 72 i \, m n^{4} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 24 i \, m n^{3} x x^{m} {\left| m n + n \right|} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 54 i \, {\left(m n + n\right)}^{2} m n^{2} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 72 i \, m n^{4} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 24 i \, m n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 2 i \, {\left(m n + n\right)}^{2} m n^{2} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 24 i \, m n^{4} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 24 i \, m n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 2 i \, {\left(m n + n\right)}^{2} n^{2} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 8 i \, n^{4} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 3 i \, {\left(m n + n\right)}^{2} n x x^{m} {\left| m n + n \right|} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 12 i \, n^{3} x x^{m} {\left| m n + n \right|} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 54 i \, {\left(m n + n\right)}^{2} n^{2} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 24 i \, n^{4} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 27 i \, {\left(m n + n\right)}^{2} n x x^{m} {\left| m n + n \right|} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 12 i \, n^{3} x x^{m} {\left| m n + n \right|} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 54 i \, {\left(m n + n\right)}^{2} n^{2} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 24 i \, n^{4} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 27 i \, {\left(m n + n\right)}^{2} n x x^{m} {\left| m n + n \right|} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 12 i \, n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 2 i \, {\left(m n + n\right)}^{2} n^{2} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 8 i \, n^{4} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 3 i \, {\left(m n + n\right)}^{2} n x x^{m} {\left| m n + n \right|} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 12 i \, n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)}}{4 \, {\left(16 \, m^{4} n^{4} + 64 \, m^{3} n^{4} - 40 \, {\left(m n + n\right)}^{2} m^{2} n^{2} + 96 \, m^{2} n^{4} - 80 \, {\left(m n + n\right)}^{2} m n^{2} + 64 \, m n^{4} + 9 \, {\left(m n + n\right)}^{4} - 40 \, {\left(m n + n\right)}^{2} n^{2} + 16 \, n^{4}\right)}}"," ",0,"1/4*(8*I*m^3*n^4*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 24*I*m^3*n^4*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*I*m^3*n^4*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 8*I*m^3*n^4*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*I*m^2*n^4*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 12*I*m^2*n^3*x*x^m*abs(m*n + n)*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 72*I*m^2*n^4*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 12*I*m^2*n^3*x*x^m*abs(m*n + n)*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 72*I*m^2*n^4*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 12*I*m^2*n^3*x*x^m*abs(m*n + n)*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 24*I*m^2*n^4*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 12*I*m^2*n^3*x*x^m*abs(m*n + n)*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 2*I*(m*n + n)^2*m*n^2*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*I*m*n^4*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*I*m*n^3*x*x^m*abs(m*n + n)*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 54*I*(m*n + n)^2*m*n^2*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 72*I*m*n^4*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 24*I*m*n^3*x*x^m*abs(m*n + n)*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 54*I*(m*n + n)^2*m*n^2*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 72*I*m*n^4*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 24*I*m*n^3*x*x^m*abs(m*n + n)*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 2*I*(m*n + n)^2*m*n^2*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 24*I*m*n^4*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*I*m*n^3*x*x^m*abs(m*n + n)*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 2*I*(m*n + n)^2*n^2*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 8*I*n^4*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 3*I*(m*n + n)^2*n*x*x^m*abs(m*n + n)*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 12*I*n^3*x*x^m*abs(m*n + n)*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 54*I*(m*n + n)^2*n^2*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 24*I*n^4*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 27*I*(m*n + n)^2*n*x*x^m*abs(m*n + n)*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 12*I*n^3*x*x^m*abs(m*n + n)*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 54*I*(m*n + n)^2*n^2*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*I*n^4*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 27*I*(m*n + n)^2*n*x*x^m*abs(m*n + n)*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 12*I*n^3*x*x^m*abs(m*n + n)*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 2*I*(m*n + n)^2*n^2*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 8*I*n^4*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 3*I*(m*n + n)^2*n*x*x^m*abs(m*n + n)*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 12*I*n^3*x*x^m*abs(m*n + n)*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2))/(16*m^4*n^4 + 64*m^3*n^4 - 40*(m*n + n)^2*m^2*n^2 + 96*m^2*n^4 - 80*(m*n + n)^2*m*n^2 + 64*m*n^4 + 9*(m*n + n)^4 - 40*(m*n + n)^2*n^2 + 16*n^4)","C",0
41,-2,0,0,0.000000," ","integrate(x^2*sin(a+log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: ((-9*i)*n^4*x^3*exp((-3*i)*a)*exp((3*n*abs(n)*ln(x)+3*abs(n)*ln(c))/n^2)+27*i*n^4*x^3*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)+9*i*n^4*x^3*exp(-(3*n*abs(n)*ln(x)+3*abs(n)*ln(c))/n^2)*exp(3*i*a)+(-27*i)*n^4*x^3*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(i*a)+9*i*n^3*x^3*abs(n)*exp((-3*i)*a)*exp((3*n*abs(n)*ln(x)+3*abs(n)*ln(c))/n^2)+(-9*i)*n^3*x^3*abs(n)*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)+9*i*n^3*x^3*abs(n)*exp(-(3*n*abs(n)*ln(x)+3*abs(n)*ln(c))/n^2)*exp(3*i*a)+(-9*i)*n^3*x^3*abs(n)*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(i*a)+i*n^2*x^3*n^2*exp((-3*i)*a)*exp((3*n*abs(n)*ln(x)+3*abs(n)*ln(c))/n^2)+(-27*i)*n^2*x^3*n^2*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)+(-i)*n^2*x^3*n^2*exp(-(3*n*abs(n)*ln(x)+3*abs(n)*ln(c))/n^2)*exp(3*i*a)+27*i*n^2*x^3*n^2*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(i*a)+(-i)*n*x^3*abs(n)*n^2*exp((-3*i)*a)*exp((3*n*abs(n)*ln(x)+3*abs(n)*ln(c))/n^2)+9*i*n*x^3*abs(n)*n^2*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)+(-i)*n*x^3*abs(n)*n^2*exp(-(3*n*abs(n)*ln(x)+3*abs(n)*ln(c))/n^2)*exp(3*i*a)+9*i*n*x^3*abs(n)*n^2*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(i*a))/(216*n^4-240*n^2*n^2+24*n^4)","F(-2)",0
42,-2,0,0,0.000000," ","integrate(x*sin(a+2/3*log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: ((-9*i)*n^4*x^2*exp((-3*i)*a)*exp((2*n*abs(n)*ln(x)+2*abs(n)*ln(c))/n^2)+27*i*n^4*x^2*exp((-i)*a)*exp((2*n*abs(n)*ln(x)+2*abs(n)*ln(c))*1/3/n^2)+(-27*i)*n^4*x^2*exp(-(2*n*abs(n)*ln(x)+2*abs(n)*ln(c))*1/3/n^2)*exp(i*a)+9*i*n^4*x^2*exp(-(2*n*abs(n)*ln(x)+2*abs(n)*ln(c))/n^2)*exp(3*i*a)+9*i*n^3*x^2*abs(n)*exp((-3*i)*a)*exp((2*n*abs(n)*ln(x)+2*abs(n)*ln(c))/n^2)+(-9*i)*n^3*x^2*abs(n)*exp((-i)*a)*exp((2*n*abs(n)*ln(x)+2*abs(n)*ln(c))*1/3/n^2)+(-9*i)*n^3*x^2*abs(n)*exp(-(2*n*abs(n)*ln(x)+2*abs(n)*ln(c))*1/3/n^2)*exp(i*a)+9*i*n^3*x^2*abs(n)*exp(-(2*n*abs(n)*ln(x)+2*abs(n)*ln(c))/n^2)*exp(3*i*a)+i*n^2*x^2*n^2*exp((-3*i)*a)*exp((2*n*abs(n)*ln(x)+2*abs(n)*ln(c))/n^2)+(-27*i)*n^2*x^2*n^2*exp((-i)*a)*exp((2*n*abs(n)*ln(x)+2*abs(n)*ln(c))*1/3/n^2)+27*i*n^2*x^2*n^2*exp(-(2*n*abs(n)*ln(x)+2*abs(n)*ln(c))*1/3/n^2)*exp(i*a)+(-i)*n^2*x^2*n^2*exp(-(2*n*abs(n)*ln(x)+2*abs(n)*ln(c))/n^2)*exp(3*i*a)+(-i)*n*x^2*abs(n)*n^2*exp((-3*i)*a)*exp((2*n*abs(n)*ln(x)+2*abs(n)*ln(c))/n^2)+9*i*n*x^2*abs(n)*n^2*exp((-i)*a)*exp((2*n*abs(n)*ln(x)+2*abs(n)*ln(c))*1/3/n^2)+9*i*n*x^2*abs(n)*n^2*exp(-(2*n*abs(n)*ln(x)+2*abs(n)*ln(c))*1/3/n^2)*exp(i*a)+(-i)*n*x^2*abs(n)*n^2*exp(-(2*n*abs(n)*ln(x)+2*abs(n)*ln(c))/n^2)*exp(3*i*a))/(144*n^4-160*n^2*n^2+16*n^4)","F(-2)",0
43,-2,0,0,0.000000," ","integrate(sin(a+1/3*log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: ((-9*i)*n^4*x*exp((-3*i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)+27*i*n^4*x*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)+(-27*i)*n^4*x*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)*exp(i*a)+9*i*n^4*x*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(3*i*a)+9*i*n^3*x*abs(n)*exp((-3*i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)+(-9*i)*n^3*x*abs(n)*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)+(-9*i)*n^3*x*abs(n)*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)*exp(i*a)+9*i*n^3*x*abs(n)*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(3*i*a)+i*n^2*x*n^2*exp((-3*i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)+(-27*i)*n^2*x*n^2*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)+27*i*n^2*x*n^2*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)*exp(i*a)+(-i)*n^2*x*n^2*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(3*i*a)+(-i)*n*x*abs(n)*n^2*exp((-3*i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)+9*i*n*x*abs(n)*n^2*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)+9*i*n*x*abs(n)*n^2*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)*exp(i*a)+(-i)*n*x*abs(n)*n^2*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(3*i*a))/(72*n^4-80*n^2*n^2+8*n^4)","F(-2)",0
44,1,8,0,0.219281," ","integrate(sin(a)^3/x,x, algorithm=""giac"")","\log\left({\left| x \right|}\right) \sin\left(a\right)^{3}"," ",0,"log(abs(x))*sin(a)^3","A",0
45,0,0,0,0.000000," ","integrate(sin(a+1/3*log(c*x^n)*(-1/n^2)^(1/2))^3/x^2,x, algorithm=""giac"")","\int \frac{\sin\left(\frac{1}{3} \, \sqrt{-\frac{1}{n^{2}}} \log\left(c x^{n}\right) + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(sin(1/3*sqrt(-1/n^2)*log(c*x^n) + a)^3/x^2, x)","F",0
46,0,0,0,0.000000," ","integrate(sin(a+2/3*log(c*x^n)*(-1/n^2)^(1/2))^3/x^3,x, algorithm=""giac"")","\int \frac{\sin\left(\frac{2}{3} \, \sqrt{-\frac{1}{n^{2}}} \log\left(c x^{n}\right) + a\right)^{3}}{x^{3}}\,{d x}"," ",0,"integrate(sin(2/3*sqrt(-1/n^2)*log(c*x^n) + a)^3/x^3, x)","F",0
47,1,189,0,0.793367," ","integrate(x^m*sin(a+1/2*log(c*x^2)*(-(1+m)^2)^(1/2)),x, algorithm=""giac"")","-\frac{i \, m x x^{m} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} - i \, x x^{m} {\left| m + 1 \right|} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} - i \, m x x^{m} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} - i \, x x^{m} {\left| m + 1 \right|} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} + i \, x x^{m} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} - i \, x x^{m} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)}}{2 \, {\left({\left(m + 1\right)}^{2} - m^{2} - 2 \, m - 1\right)}}"," ",0,"-1/2*(I*m*x*x^m*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - I*a) - I*x*x^m*abs(m + 1)*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - I*a) - I*m*x*x^m*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + I*a) - I*x*x^m*abs(m + 1)*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + I*a) + I*x*x^m*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - I*a) - I*x*x^m*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + I*a))/((m + 1)^2 - m^2 - 2*m - 1)","C",0
48,1,29,0,0.306421," ","integrate(sin(a+1/2*I*log(c*x^2)),x, algorithm=""giac"")","-\frac{-i \, c^{\frac{3}{2}} x^{2} e^{\left(-i \, a\right)} + 2 i \, \sqrt{c} e^{\left(i \, a\right)} \log\left(x\right)}{4 \, c}"," ",0,"-1/4*(-I*c^(3/2)*x^2*e^(-I*a) + 2*I*sqrt(c)*e^(I*a)*log(x))/c","A",0
49,1,350,0,1.998598," ","integrate(x^m*sin(a+1/4*log(c*x^2)*(-(1+m)^2)^(1/2))^2,x, algorithm=""giac"")","\frac{m^{2} x x^{m} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 2 i \, a\right)} - m x x^{m} {\left| m + 1 \right|} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 2 i \, a\right)} + m^{2} x x^{m} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 2 i \, a\right)} + m x x^{m} {\left| m + 1 \right|} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 2 i \, a\right)} + 2 \, {\left(m + 1\right)}^{2} x x^{m} - 2 \, m^{2} x x^{m} + 2 \, m x x^{m} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 2 i \, a\right)} - x x^{m} {\left| m + 1 \right|} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 2 i \, a\right)} + 2 \, m x x^{m} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 2 i \, a\right)} + x x^{m} {\left| m + 1 \right|} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 2 i \, a\right)} - 4 \, m x x^{m} + x x^{m} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 2 i \, a\right)} + x x^{m} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 2 i \, a\right)} - 2 \, x x^{m}}{4 \, {\left({\left(m + 1\right)}^{2} m - m^{3} + {\left(m + 1\right)}^{2} - 3 \, m^{2} - 3 \, m - 1\right)}}"," ",0,"1/4*(m^2*x*x^m*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 2*I*a) - m*x*x^m*abs(m + 1)*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 2*I*a) + m^2*x*x^m*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 2*I*a) + m*x*x^m*abs(m + 1)*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 2*I*a) + 2*(m + 1)^2*x*x^m - 2*m^2*x*x^m + 2*m*x*x^m*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 2*I*a) - x*x^m*abs(m + 1)*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 2*I*a) + 2*m*x*x^m*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 2*I*a) + x*x^m*abs(m + 1)*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 2*I*a) - 4*m*x*x^m + x*x^m*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 2*I*a) + x*x^m*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 2*I*a) - 2*x*x^m)/((m + 1)^2*m - m^3 + (m + 1)^2 - 3*m^2 - 3*m - 1)","C",0
50,1,32,0,0.374016," ","integrate(sin(a+1/4*I*log(c*x^2))^2,x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{c^{\frac{3}{2}} x^{2} e^{\left(-2 i \, a\right)} + 2 \, \sqrt{c} e^{\left(2 i \, a\right)} \log\left(x\right)}{8 \, c}"," ",0,"1/2*x - 1/8*(c^(3/2)*x^2*e^(-2*I*a) + 2*sqrt(c)*e^(2*I*a)*log(x))/c","A",0
51,1,1297,0,3.956189," ","integrate(x^m*sin(a+1/6*log(c*x^2)*(-(1+m)^2)^(1/2))^3,x, algorithm=""giac"")","\frac{i \, {\left(m + 1\right)}^{2} m x x^{m} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 3 i \, a\right)} - 9 i \, m^{3} x x^{m} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 3 i \, a\right)} - i \, {\left(m + 1\right)}^{2} x x^{m} {\left| m + 1 \right|} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 3 i \, a\right)} + 9 i \, m^{2} x x^{m} {\left| m + 1 \right|} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 3 i \, a\right)} - 27 i \, {\left(m + 1\right)}^{2} m x x^{m} e^{\left(\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) + \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} + 27 i \, m^{3} x x^{m} e^{\left(\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) + \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} + 9 i \, {\left(m + 1\right)}^{2} x x^{m} {\left| m + 1 \right|} e^{\left(\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) + \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} - 9 i \, m^{2} x x^{m} {\left| m + 1 \right|} e^{\left(\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) + \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} + 27 i \, {\left(m + 1\right)}^{2} m x x^{m} e^{\left(-\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) - \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} - 27 i \, m^{3} x x^{m} e^{\left(-\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) - \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} + 9 i \, {\left(m + 1\right)}^{2} x x^{m} {\left| m + 1 \right|} e^{\left(-\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) - \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} - 9 i \, m^{2} x x^{m} {\left| m + 1 \right|} e^{\left(-\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) - \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} - i \, {\left(m + 1\right)}^{2} m x x^{m} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 3 i \, a\right)} + 9 i \, m^{3} x x^{m} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 3 i \, a\right)} - i \, {\left(m + 1\right)}^{2} x x^{m} {\left| m + 1 \right|} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 3 i \, a\right)} + 9 i \, m^{2} x x^{m} {\left| m + 1 \right|} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 3 i \, a\right)} + i \, {\left(m + 1\right)}^{2} x x^{m} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 3 i \, a\right)} - 27 i \, m^{2} x x^{m} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 3 i \, a\right)} + 18 i \, m x x^{m} {\left| m + 1 \right|} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 3 i \, a\right)} - 27 i \, {\left(m + 1\right)}^{2} x x^{m} e^{\left(\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) + \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} + 81 i \, m^{2} x x^{m} e^{\left(\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) + \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} - 18 i \, m x x^{m} {\left| m + 1 \right|} e^{\left(\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) + \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} + 27 i \, {\left(m + 1\right)}^{2} x x^{m} e^{\left(-\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) - \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} - 81 i \, m^{2} x x^{m} e^{\left(-\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) - \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} - 18 i \, m x x^{m} {\left| m + 1 \right|} e^{\left(-\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) - \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} - i \, {\left(m + 1\right)}^{2} x x^{m} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 3 i \, a\right)} + 27 i \, m^{2} x x^{m} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 3 i \, a\right)} + 18 i \, m x x^{m} {\left| m + 1 \right|} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 3 i \, a\right)} - 27 i \, m x x^{m} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 3 i \, a\right)} + 9 i \, x x^{m} {\left| m + 1 \right|} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 3 i \, a\right)} + 81 i \, m x x^{m} e^{\left(\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) + \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} - 9 i \, x x^{m} {\left| m + 1 \right|} e^{\left(\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) + \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} - 81 i \, m x x^{m} e^{\left(-\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) - \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} - 9 i \, x x^{m} {\left| m + 1 \right|} e^{\left(-\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) - \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} + 27 i \, m x x^{m} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 3 i \, a\right)} + 9 i \, x x^{m} {\left| m + 1 \right|} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 3 i \, a\right)} - 9 i \, x x^{m} e^{\left(\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) + {\left| m + 1 \right|} \log\left(x\right) - 3 i \, a\right)} + 27 i \, x x^{m} e^{\left(\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) + \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) - i \, a\right)} - 27 i \, x x^{m} e^{\left(-\frac{1}{6} \, {\left| m + 1 \right|} \log\left(c\right) - \frac{1}{3} \, {\left| m + 1 \right|} \log\left(x\right) + i \, a\right)} + 9 i \, x x^{m} e^{\left(-\frac{1}{2} \, {\left| m + 1 \right|} \log\left(c\right) - {\left| m + 1 \right|} \log\left(x\right) + 3 i \, a\right)}}{8 \, {\left({\left(m + 1\right)}^{4} - 10 \, {\left(m + 1\right)}^{2} m^{2} + 9 \, m^{4} - 20 \, {\left(m + 1\right)}^{2} m + 36 \, m^{3} - 10 \, {\left(m + 1\right)}^{2} + 54 \, m^{2} + 36 \, m + 9\right)}}"," ",0,"1/8*(I*(m + 1)^2*m*x*x^m*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 3*I*a) - 9*I*m^3*x*x^m*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 3*I*a) - I*(m + 1)^2*x*x^m*abs(m + 1)*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 3*I*a) + 9*I*m^2*x*x^m*abs(m + 1)*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 3*I*a) - 27*I*(m + 1)^2*m*x*x^m*e^(1/6*abs(m + 1)*log(c) + 1/3*abs(m + 1)*log(x) - I*a) + 27*I*m^3*x*x^m*e^(1/6*abs(m + 1)*log(c) + 1/3*abs(m + 1)*log(x) - I*a) + 9*I*(m + 1)^2*x*x^m*abs(m + 1)*e^(1/6*abs(m + 1)*log(c) + 1/3*abs(m + 1)*log(x) - I*a) - 9*I*m^2*x*x^m*abs(m + 1)*e^(1/6*abs(m + 1)*log(c) + 1/3*abs(m + 1)*log(x) - I*a) + 27*I*(m + 1)^2*m*x*x^m*e^(-1/6*abs(m + 1)*log(c) - 1/3*abs(m + 1)*log(x) + I*a) - 27*I*m^3*x*x^m*e^(-1/6*abs(m + 1)*log(c) - 1/3*abs(m + 1)*log(x) + I*a) + 9*I*(m + 1)^2*x*x^m*abs(m + 1)*e^(-1/6*abs(m + 1)*log(c) - 1/3*abs(m + 1)*log(x) + I*a) - 9*I*m^2*x*x^m*abs(m + 1)*e^(-1/6*abs(m + 1)*log(c) - 1/3*abs(m + 1)*log(x) + I*a) - I*(m + 1)^2*m*x*x^m*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 3*I*a) + 9*I*m^3*x*x^m*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 3*I*a) - I*(m + 1)^2*x*x^m*abs(m + 1)*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 3*I*a) + 9*I*m^2*x*x^m*abs(m + 1)*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 3*I*a) + I*(m + 1)^2*x*x^m*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 3*I*a) - 27*I*m^2*x*x^m*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 3*I*a) + 18*I*m*x*x^m*abs(m + 1)*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 3*I*a) - 27*I*(m + 1)^2*x*x^m*e^(1/6*abs(m + 1)*log(c) + 1/3*abs(m + 1)*log(x) - I*a) + 81*I*m^2*x*x^m*e^(1/6*abs(m + 1)*log(c) + 1/3*abs(m + 1)*log(x) - I*a) - 18*I*m*x*x^m*abs(m + 1)*e^(1/6*abs(m + 1)*log(c) + 1/3*abs(m + 1)*log(x) - I*a) + 27*I*(m + 1)^2*x*x^m*e^(-1/6*abs(m + 1)*log(c) - 1/3*abs(m + 1)*log(x) + I*a) - 81*I*m^2*x*x^m*e^(-1/6*abs(m + 1)*log(c) - 1/3*abs(m + 1)*log(x) + I*a) - 18*I*m*x*x^m*abs(m + 1)*e^(-1/6*abs(m + 1)*log(c) - 1/3*abs(m + 1)*log(x) + I*a) - I*(m + 1)^2*x*x^m*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 3*I*a) + 27*I*m^2*x*x^m*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 3*I*a) + 18*I*m*x*x^m*abs(m + 1)*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 3*I*a) - 27*I*m*x*x^m*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 3*I*a) + 9*I*x*x^m*abs(m + 1)*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 3*I*a) + 81*I*m*x*x^m*e^(1/6*abs(m + 1)*log(c) + 1/3*abs(m + 1)*log(x) - I*a) - 9*I*x*x^m*abs(m + 1)*e^(1/6*abs(m + 1)*log(c) + 1/3*abs(m + 1)*log(x) - I*a) - 81*I*m*x*x^m*e^(-1/6*abs(m + 1)*log(c) - 1/3*abs(m + 1)*log(x) + I*a) - 9*I*x*x^m*abs(m + 1)*e^(-1/6*abs(m + 1)*log(c) - 1/3*abs(m + 1)*log(x) + I*a) + 27*I*m*x*x^m*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 3*I*a) + 9*I*x*x^m*abs(m + 1)*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 3*I*a) - 9*I*x*x^m*e^(1/2*abs(m + 1)*log(c) + abs(m + 1)*log(x) - 3*I*a) + 27*I*x*x^m*e^(1/6*abs(m + 1)*log(c) + 1/3*abs(m + 1)*log(x) - I*a) - 27*I*x*x^m*e^(-1/6*abs(m + 1)*log(c) - 1/3*abs(m + 1)*log(x) + I*a) + 9*I*x*x^m*e^(-1/2*abs(m + 1)*log(c) - abs(m + 1)*log(x) + 3*I*a))/((m + 1)^4 - 10*(m + 1)^2*m^2 + 9*m^4 - 20*(m + 1)^2*m + 36*m^3 - 10*(m + 1)^2 + 54*m^2 + 36*m + 9)","C",0
52,0,0,0,0.000000," ","integrate(sin(a+1/6*I*log(c*x^2))^3,x, algorithm=""giac"")","\int \sin\left(a + \frac{1}{6} i \, \log\left(c x^{2}\right)\right)^{3}\,{d x}"," ",0,"integrate(sin(a + 1/6*I*log(c*x^2))^3, x)","F",0
53,0,0,0,0.000000," ","integrate(x*sin(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
69,0,0,0,0.000000," ","integrate(1/sin(a-2*I*log(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\sin\left(a - 2 i \, \log\left(c x\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(a - 2*I*log(c*x))^(-3/2), x)","F",0
70,-1,0,0,0.000000," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^4,x, algorithm=""giac"")","\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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,-1,0,0,0.000000," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,1,5760,0,0.803655," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\frac{b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} - b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} - b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + 4 \, b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right) - 4 \, b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right) - 4 \, b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right) - 4 \, b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right) - b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} - b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + 4 \, b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right)^{2} - 4 \, b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right)^{2} - b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} - b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right) + 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right) - 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} + b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} - 4 \, b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) + 4 \, b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) + b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + 4 \, b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a d\right) + 4 \, b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a d\right) - 4 \, b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right) + 4 \, b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right) + 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right) + 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right) + b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, a d\right)^{2} + b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, a d\right)^{2} - 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) - 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) - 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} - 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} - 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a d\right) - 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a d\right) + 8 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right) - 8 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right) - 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right) - 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right) - 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a d\right)^{2} - 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right)^{2} - 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right)^{2} - b d n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} - b d n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} + 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) - 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) - 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} - 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} - 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a d\right) - 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a d\right) + 8 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right) - 8 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right) - 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right) - 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right) - 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a d\right)^{2} - 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right)^{2} - 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) + 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) - 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) + 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) + 2 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, a d\right) + 2 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, a d\right) + 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) + 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right) - 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) + 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) + 2 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b d n + \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, a d\right) + 2 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b d n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b d n - \frac{1}{2} \, \pi b d \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b d + m\right)} \tan\left(\frac{1}{2} \, a d\right)}{2 \, {\left(b^{2} d^{2} n^{2} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + b^{2} d^{2} n^{2} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + b^{2} d^{2} n^{2} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + b^{2} d^{2} n^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + b^{2} d^{2} n^{2} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} + b^{2} d^{2} n^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + b^{2} d^{2} n^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + m^{2} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + b^{2} d^{2} n^{2} + m^{2} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + m^{2} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + m^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + 2 \, m \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + m^{2} \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} + m^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + m^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} + 2 \, m \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + 2 \, m \tan\left(\frac{1}{2} \, a d\right)^{2} + m^{2} + \tan\left(\frac{1}{2} \, b d n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b d \log\left({\left| c \right|}\right)\right)^{2} + \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + \tan\left(\frac{1}{2} \, a d\right)^{2} + 2 \, m + 1\right)}}"," ",0,"1/2*(b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 - b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 - b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + 4*b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d) - 4*b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d) - 4*b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d) - 4*b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d) - b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/2*a*d)^2 - b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/2*a*d)^2 + 4*b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d)^2 - 4*b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d)^2 - b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 - b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d) + 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d) - 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d)^2 + 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d)^2 + 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2 + b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2 - 4*b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) + 4*b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) + b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + 4*b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/2*a*d) + 4*b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/2*a*d) - 4*b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d) + 4*b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d) + 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d) + 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d) + b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*a*d)^2 + b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*a*d)^2 - 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d)^2 + 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d)^2 + 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) - 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) - 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 - 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 - 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/2*a*d) - 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/2*a*d) + 8*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d) - 8*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d) - 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d) - 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d) - 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/2*a*d)^2 - 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/2*a*d)^2 + 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d)^2 - 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d)^2 - b*d*n*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m) - b*d*n*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m) + 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) - 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) - 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 - 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 - 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/2*a*d) - 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/2*a*d) + 8*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d) - 8*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d) - 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d) - 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d) - 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/2*a*d)^2 - 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))*tan(1/2*a*d)^2 + 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d)^2 - 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a*d)^2 + 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c))) + 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c))) - 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) + 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) + 2*m*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*a*d) + 2*m*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*a*d) + 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c))) + 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c))) - 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) + 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) + 2*x*abs(x)^m*e^(1/2*pi*b*d*n*sgn(x) - 1/2*pi*b*d*n + 1/2*pi*b*d*sgn(c) - 1/2*pi*b*d + m)*tan(1/2*a*d) + 2*x*abs(x)^m*e^(-1/2*pi*b*d*n*sgn(x) + 1/2*pi*b*d*n - 1/2*pi*b*d*sgn(c) + 1/2*pi*b*d + m)*tan(1/2*a*d))/(b^2*d^2*n^2*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + b^2*d^2*n^2*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + b^2*d^2*n^2*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/2*a*d)^2 + b^2*d^2*n^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + b^2*d^2*n^2*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2 + b^2*d^2*n^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + b^2*d^2*n^2*tan(1/2*a*d)^2 + m^2*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + 2*m*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + b^2*d^2*n^2 + m^2*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + m^2*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/2*a*d)^2 + m^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + 2*m*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + 2*m*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/2*a*d)^2 + 2*m*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + m^2*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2 + m^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + m^2*tan(1/2*a*d)^2 + tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2*tan(1/2*a*d)^2 + tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a*d)^2 + 2*m*tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2 + 2*m*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + 2*m*tan(1/2*a*d)^2 + m^2 + tan(1/2*b*d*n*log(abs(x)) + 1/2*b*d*log(abs(c)))^2 + tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + tan(1/2*a*d)^2 + 2*m + 1)","B",0
74,0,0,0,0.000000," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
86,1,923,0,0.434880," ","integrate(x^2*cos(a+b*log(c*x^n)),x, algorithm=""giac"")","-\frac{2 \, b n x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b n x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b n x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b n x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 3 \, x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 3 \, x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b n x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - 2 \, b n x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - 2 \, b n x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right) - 2 \, b n x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right) + 3 \, x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + 3 \, x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + 12 \, x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) + 12 \, x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) + 3 \, x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} + 3 \, x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} - 3 \, x^{3} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} - 3 \, x^{3} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)}}{2 \, {\left(b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} + 9 \, \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 9 \, \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + 9 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 9\right)}}"," ",0,"-1/2*(2*b*n*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + 2*b*n*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + 2*b*n*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 + 2*b*n*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 - 3*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 - 3*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 - 2*b*n*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - 2*b*n*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - 2*b*n*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a) - 2*b*n*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a) + 3*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + 3*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + 12*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) + 12*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) + 3*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a)^2 + 3*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a)^2 - 3*x^3*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b) - 3*x^3*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b))/(b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + b^2*n^2*tan(1/2*a)^2 + b^2*n^2 + 9*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + 9*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + 9*tan(1/2*a)^2 + 9)","B",0
87,1,915,0,0.372177," ","integrate(x*cos(a+b*log(c*x^n)),x, algorithm=""giac"")","-\frac{b n x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + b n x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + b n x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} + b n x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} - x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - b n x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - b n x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - b n x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right) - b n x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right) + x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) + 4 \, x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) + x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} + x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} - x^{2} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} - x^{2} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)}}{b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} + 4 \, \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 4}"," ",0,"-(b*n*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + b*n*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + b*n*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 + b*n*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 - x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 - x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 - b*n*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - b*n*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - b*n*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a) - b*n*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a) + x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + 4*x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) + 4*x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) + x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a)^2 + x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a)^2 - x^2*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b) - x^2*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b))/(b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + b^2*n^2*tan(1/2*a)^2 + b^2*n^2 + 4*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + 4*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + 4*tan(1/2*a)^2 + 4)","B",0
88,1,878,0,0.276107," ","integrate(cos(a+b*log(c*x^n)),x, algorithm=""giac"")","-\frac{2 \, b n x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b n x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b n x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b n x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} - x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b n x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - 2 \, b n x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - 2 \, b n x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right) - 2 \, b n x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right) + x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) + 4 \, x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) + x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} + x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} - x e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} - x e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)}}{2 \, {\left(b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} + \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + \tan\left(\frac{1}{2} \, a\right)^{2} + 1\right)}}"," ",0,"-1/2*(2*b*n*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + 2*b*n*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + 2*b*n*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 + 2*b*n*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 - x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 - x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 - 2*b*n*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - 2*b*n*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - 2*b*n*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a) - 2*b*n*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a) + x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + 4*x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) + 4*x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) + x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a)^2 + x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a)^2 - x*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b) - x*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b))/(b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + b^2*n^2*tan(1/2*a)^2 + b^2*n^2 + tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + tan(1/2*a)^2 + 1)","B",0
89,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\int \frac{\cos\left(b \log\left(c x^{n}\right) + a\right)}{x}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)/x, x)","F",0
90,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\int \frac{\cos\left(b \log\left(c x^{n}\right) + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)/x^2, x)","F",0
91,1,833,0,0.533594," ","integrate(x^2*cos(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{6} \, x^{3} - \frac{4 \, b n x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 4 \, b n x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 4 \, b n x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} + 4 \, b n x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} - 3 \, x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - 3 \, x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - 4 \, b n x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 4 \, b n x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 4 \, b n x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right) - 4 \, b n x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right) + 3 \, x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 3 \, x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 12 \, x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + 12 \, x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + 3 \, x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right)^{2} + 3 \, x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right)^{2} - 3 \, x^{3} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} - 3 \, x^{3} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)}}{4 \, {\left(4 \, b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + 4 \, b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, b^{2} n^{2} \tan\left(a\right)^{2} + 4 \, b^{2} n^{2} + 9 \, \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + 9 \, \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 9 \, \tan\left(a\right)^{2} + 9\right)}}"," ",0,"1/6*x^3 - 1/4*(4*b*n*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 4*b*n*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 4*b*n*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 + 4*b*n*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 - 3*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - 3*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - 4*b*n*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 4*b*n*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 4*b*n*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a) - 4*b*n*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a) + 3*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 3*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 12*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + 12*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + 3*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a)^2 + 3*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a)^2 - 3*x^3*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b) - 3*x^3*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b))/(4*b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + 4*b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 4*b^2*n^2*tan(a)^2 + 4*b^2*n^2 + 9*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + 9*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 9*tan(a)^2 + 9)","B",0
92,1,820,0,0.508571," ","integrate(x*cos(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{4} \, x^{2} - \frac{2 \, b n x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 2 \, b n x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 2 \, b n x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} + 2 \, b n x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} - x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - 2 \, b n x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 2 \, b n x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 2 \, b n x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right) - 2 \, b n x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right) + x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + 4 \, x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right)^{2} + x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right)^{2} - x^{2} e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} - x^{2} e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)}}{8 \, {\left(b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + b^{2} n^{2} \tan\left(a\right)^{2} + b^{2} n^{2} + \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + \tan\left(a\right)^{2} + 1\right)}}"," ",0,"1/4*x^2 - 1/8*(2*b*n*x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 2*b*n*x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 2*b*n*x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 + 2*b*n*x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 - x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - 2*b*n*x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 2*b*n*x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 2*b*n*x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a) - 2*b*n*x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a) + x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 4*x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + 4*x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a)^2 + x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a)^2 - x^2*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b) - x^2*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b))/(b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + b^2*n^2*tan(a)^2 + b^2*n^2 + tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + tan(a)^2 + 1)","B",0
93,1,786,0,0.418262," ","integrate(cos(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{4 \, b n x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 4 \, b n x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right) + 4 \, b n x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} + 4 \, b n x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right)^{2} - x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} - 4 \, b n x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 4 \, b n x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) - 4 \, b n x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right) - 4 \, b n x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right) + x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + 4 \, x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right) \tan\left(a\right) + x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} \tan\left(a\right)^{2} + x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)} \tan\left(a\right)^{2} - x e^{\left(\pi b n \mathrm{sgn}\left(x\right) - \pi b n + \pi b \mathrm{sgn}\left(c\right) - \pi b\right)} - x e^{\left(-\pi b n \mathrm{sgn}\left(x\right) + \pi b n - \pi b \mathrm{sgn}\left(c\right) + \pi b\right)}}{4 \, {\left(4 \, b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + 4 \, b^{2} n^{2} \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, b^{2} n^{2} \tan\left(a\right)^{2} + 4 \, b^{2} n^{2} + \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(a\right)^{2} + \tan\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right)\right)^{2} + \tan\left(a\right)^{2} + 1\right)}}"," ",0,"1/2*x - 1/4*(4*b*n*x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 4*b*n*x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a) + 4*b*n*x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 + 4*b*n*x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a)^2 - x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 - 4*b*n*x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 4*b*n*x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c))) - 4*b*n*x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a) - 4*b*n*x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a) + x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 4*x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + 4*x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(b*n*log(abs(x)) + b*log(abs(c)))*tan(a) + x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b)*tan(a)^2 + x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b)*tan(a)^2 - x*e^(pi*b*n*sgn(x) - pi*b*n + pi*b*sgn(c) - pi*b) - x*e^(-pi*b*n*sgn(x) + pi*b*n - pi*b*sgn(c) + pi*b))/(4*b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + 4*b^2*n^2*tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + 4*b^2*n^2*tan(a)^2 + 4*b^2*n^2 + tan(b*n*log(abs(x)) + b*log(abs(c)))^2*tan(a)^2 + tan(b*n*log(abs(x)) + b*log(abs(c)))^2 + tan(a)^2 + 1)","B",0
94,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","\int \frac{\cos\left(b \log\left(c x^{n}\right) + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^2/x, x)","F",0
95,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^2/x^2,x, algorithm=""giac"")","\int \frac{\cos\left(b \log\left(c x^{n}\right) + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^2/x^2, x)","F",0
96,-1,0,0,0.000000," ","integrate(x^2*cos(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
97,-1,0,0,0.000000," ","integrate(x*cos(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,-1,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
99,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^3/x,x, algorithm=""giac"")","\int \frac{\cos\left(b \log\left(c x^{n}\right) + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^3/x, x)","F",0
100,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^3/x^2,x, algorithm=""giac"")","\int \frac{\cos\left(b \log\left(c x^{n}\right) + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^3/x^2, x)","F",0
101,-1,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^4/x,x, algorithm=""giac"")","\int \frac{\cos\left(b \log\left(c x^{n}\right) + a\right)^{4}}{x}\,{d x}"," ",0,"integrate(cos(b*log(c*x^n) + a)^4/x, x)","F",0
103,1,25,0,0.265289," ","integrate(cos(log(6+3*x)),x, algorithm=""giac"")","\frac{1}{2} \, {\left(x + 2\right)} \cos\left(\log\left(3 \, x + 6\right)\right) + \frac{1}{2} \, {\left(x + 2\right)} \sin\left(\log\left(3 \, x + 6\right)\right)"," ",0,"1/2*(x + 2)*cos(log(3*x + 6)) + 1/2*(x + 2)*sin(log(3*x + 6))","A",0
104,1,267,0,2.101719," ","integrate(x^m*cos(a+log(c*x^n)*(-(1+m)^2/n^2)^(1/2)),x, algorithm=""giac"")","\frac{m n^{2} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + m n^{2} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + n^{2} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + n x x^{m} {\left| m n + n \right|} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + n^{2} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} - n x x^{m} {\left| m n + n \right|} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)}}{2 \, {\left(m^{2} n^{2} + 2 \, m n^{2} - {\left(m n + n\right)}^{2} + n^{2}\right)}}"," ",0,"1/2*(m*n^2*x*x^m*e^(I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + m*n^2*x*x^m*e^(-I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + n^2*x*x^m*e^(I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + n*x*x^m*abs(m*n + n)*e^(I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + n^2*x*x^m*e^(-I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - n*x*x^m*abs(m*n + n)*e^(-I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2))/(m^2*n^2 + 2*m*n^2 - (m*n + n)^2 + n^2)","C",0
105,1,1,0,0.362319," ","integrate(cos(a+log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
106,1,498,0,5.630943," ","integrate(x^m*cos(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^2,x, algorithm=""giac"")","\frac{m^{2} n^{2} x x^{m} e^{\left(2 i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + m^{2} n^{2} x x^{m} e^{\left(-2 i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + 2 \, m^{2} n^{2} x x^{m} + 2 \, m n^{2} x x^{m} e^{\left(2 i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + m n x x^{m} {\left| m n + n \right|} e^{\left(2 i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + 2 \, m n^{2} x x^{m} e^{\left(-2 i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} - m n x x^{m} {\left| m n + n \right|} e^{\left(-2 i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + 4 \, m n^{2} x x^{m} + n^{2} x x^{m} e^{\left(2 i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + n x x^{m} {\left| m n + n \right|} e^{\left(2 i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} + n^{2} x x^{m} e^{\left(-2 i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} - n x x^{m} {\left| m n + n \right|} e^{\left(-2 i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{n^{2}}\right)} - 2 \, {\left(m n + n\right)}^{2} x x^{m} + 2 \, n^{2} x x^{m}}{4 \, {\left(m^{3} n^{2} + 3 \, m^{2} n^{2} - {\left(m n + n\right)}^{2} m + 3 \, m n^{2} - {\left(m n + n\right)}^{2} + n^{2}\right)}}"," ",0,"1/4*(m^2*n^2*x*x^m*e^(2*I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + m^2*n^2*x*x^m*e^(-2*I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 2*m^2*n^2*x*x^m + 2*m*n^2*x*x^m*e^(2*I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + m*n*x*x^m*abs(m*n + n)*e^(2*I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 2*m*n^2*x*x^m*e^(-2*I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - m*n*x*x^m*abs(m*n + n)*e^(-2*I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 4*m*n^2*x*x^m + n^2*x*x^m*e^(2*I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + n*x*x^m*abs(m*n + n)*e^(2*I*a - (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + n^2*x*x^m*e^(-2*I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - n*x*x^m*abs(m*n + n)*e^(-2*I*a + (n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 2*(m*n + n)^2*x*x^m + 2*n^2*x*x^m)/(m^3*n^2 + 3*m^2*n^2 - (m*n + n)^2*m + 3*m*n^2 - (m*n + n)^2 + n^2)","C",0
107,1,1,0,0.889909," ","integrate(cos(a+1/2*log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
108,1,1870,0,14.210632," ","integrate(x^m*cos(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^3,x, algorithm=""giac"")","\frac{8 \, m^{3} n^{4} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 24 \, m^{3} n^{4} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 24 \, m^{3} n^{4} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 8 \, m^{3} n^{4} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 24 \, m^{2} n^{4} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 12 \, m^{2} n^{3} x x^{m} {\left| m n + n \right|} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 72 \, m^{2} n^{4} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 12 \, m^{2} n^{3} x x^{m} {\left| m n + n \right|} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 72 \, m^{2} n^{4} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 12 \, m^{2} n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 24 \, m^{2} n^{4} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 12 \, m^{2} n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 2 \, {\left(m n + n\right)}^{2} m n^{2} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 24 \, m n^{4} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 24 \, m n^{3} x x^{m} {\left| m n + n \right|} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 54 \, {\left(m n + n\right)}^{2} m n^{2} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 72 \, m n^{4} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 24 \, m n^{3} x x^{m} {\left| m n + n \right|} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 54 \, {\left(m n + n\right)}^{2} m n^{2} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 72 \, m n^{4} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 24 \, m n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 2 \, {\left(m n + n\right)}^{2} m n^{2} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 24 \, m n^{4} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 24 \, m n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 2 \, {\left(m n + n\right)}^{2} n^{2} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 8 \, n^{4} x x^{m} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 3 \, {\left(m n + n\right)}^{2} n x x^{m} {\left| m n + n \right|} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 12 \, n^{3} x x^{m} {\left| m n + n \right|} e^{\left(3 i \, a - \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 54 \, {\left(m n + n\right)}^{2} n^{2} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 24 \, n^{4} x x^{m} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 27 \, {\left(m n + n\right)}^{2} n x x^{m} {\left| m n + n \right|} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 12 \, n^{3} x x^{m} {\left| m n + n \right|} e^{\left(i \, a - \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 54 \, {\left(m n + n\right)}^{2} n^{2} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 24 \, n^{4} x x^{m} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} + 27 \, {\left(m n + n\right)}^{2} n x x^{m} {\left| m n + n \right|} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 12 \, n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-i \, a + \frac{n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)}{2 \, n^{2}}\right)} - 2 \, {\left(m n + n\right)}^{2} n^{2} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 8 \, n^{4} x x^{m} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} + 3 \, {\left(m n + n\right)}^{2} n x x^{m} {\left| m n + n \right|} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)} - 12 \, n^{3} x x^{m} {\left| m n + n \right|} e^{\left(-3 i \, a + \frac{3 \, {\left(n {\left| m n + n \right|} \log\left(x\right) + {\left| m n + n \right|} \log\left(c\right)\right)}}{2 \, n^{2}}\right)}}{4 \, {\left(16 \, m^{4} n^{4} + 64 \, m^{3} n^{4} - 40 \, {\left(m n + n\right)}^{2} m^{2} n^{2} + 96 \, m^{2} n^{4} - 80 \, {\left(m n + n\right)}^{2} m n^{2} + 64 \, m n^{4} + 9 \, {\left(m n + n\right)}^{4} - 40 \, {\left(m n + n\right)}^{2} n^{2} + 16 \, n^{4}\right)}}"," ",0,"1/4*(8*m^3*n^4*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*m^3*n^4*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*m^3*n^4*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 8*m^3*n^4*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*m^2*n^4*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 12*m^2*n^3*x*x^m*abs(m*n + n)*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 72*m^2*n^4*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 12*m^2*n^3*x*x^m*abs(m*n + n)*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 72*m^2*n^4*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 12*m^2*n^3*x*x^m*abs(m*n + n)*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*m^2*n^4*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 12*m^2*n^3*x*x^m*abs(m*n + n)*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 2*(m*n + n)^2*m*n^2*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*m*n^4*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*m*n^3*x*x^m*abs(m*n + n)*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 54*(m*n + n)^2*m*n^2*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 72*m*n^4*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*m*n^3*x*x^m*abs(m*n + n)*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 54*(m*n + n)^2*m*n^2*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 72*m*n^4*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 24*m*n^3*x*x^m*abs(m*n + n)*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 2*(m*n + n)^2*m*n^2*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*m*n^4*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 24*m*n^3*x*x^m*abs(m*n + n)*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 2*(m*n + n)^2*n^2*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 8*n^4*x*x^m*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 3*(m*n + n)^2*n*x*x^m*abs(m*n + n)*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 12*n^3*x*x^m*abs(m*n + n)*e^(3*I*a - 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 54*(m*n + n)^2*n^2*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*n^4*x*x^m*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 27*(m*n + n)^2*n*x*x^m*abs(m*n + n)*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 12*n^3*x*x^m*abs(m*n + n)*e^(I*a - 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 54*(m*n + n)^2*n^2*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 24*n^4*x*x^m*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 27*(m*n + n)^2*n*x*x^m*abs(m*n + n)*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 12*n^3*x*x^m*abs(m*n + n)*e^(-I*a + 1/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 2*(m*n + n)^2*n^2*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 8*n^4*x*x^m*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) + 3*(m*n + n)^2*n*x*x^m*abs(m*n + n)*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2) - 12*n^3*x*x^m*abs(m*n + n)*e^(-3*I*a + 3/2*(n*abs(m*n + n)*log(x) + abs(m*n + n)*log(c))/n^2))/(16*m^4*n^4 + 64*m^3*n^4 - 40*(m*n + n)^2*m^2*n^2 + 96*m^2*n^4 - 80*(m*n + n)^2*m*n^2 + 64*m*n^4 + 9*(m*n + n)^4 - 40*(m*n + n)^2*n^2 + 16*n^4)","C",0
109,-2,0,0,0.000000," ","integrate(cos(a+1/3*log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: (9*n^4*x*exp((-3*i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)+27*n^4*x*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)+27*n^4*x*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)*exp(i*a)+9*n^4*x*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(3*i*a)-9*n^3*x*abs(n)*exp((-3*i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)-9*n^3*x*abs(n)*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)+9*n^3*x*abs(n)*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)*exp(i*a)+9*n^3*x*abs(n)*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(3*i*a)-n^2*x*n^2*exp((-3*i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)-27*n^2*x*n^2*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)-27*n^2*x*n^2*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)*exp(i*a)-n^2*x*n^2*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(3*i*a)+n*x*abs(n)*n^2*exp((-3*i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)+9*n*x*abs(n)*n^2*exp((-i)*a)*exp((n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)-9*n*x*abs(n)*n^2*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))*1/3/n^2)*exp(i*a)-n*x*abs(n)*n^2*exp(-(n*abs(n)*ln(x)+abs(n)*ln(c))/n^2)*exp(3*i*a))/(72*n^4-80*n^2*n^2+8*n^4)","F(-2)",0
110,0,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
122,0,0,0,0.000000," ","integrate(1/cos(a-2*I*log(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\cos\left(a - 2 i \, \log\left(c x\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(a - 2*I*log(c*x))^(-3/2), x)","F",0
123,-1,0,0,0.000000," ","integrate(x^m*cos(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
124,-1,0,0,0.000000," ","integrate(x^m*cos(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
125,-1,0,0,0.000000," ","integrate(x^m*cos(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
126,1,5162,0,3.024490," ","integrate(x^m*cos(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) - 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) - 2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} - 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} - 2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 8 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right) - 8 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right) - 4 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right) + 4 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right) - 2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 4 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 4 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right)^{2} + m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 4 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right)^{2} + m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} - 4 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right) + 4 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right) + 4 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 4 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right) + x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 4 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right)^{2} + x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) + 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) - m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} - m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} - 2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) + 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) + 4 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) - 4 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) - m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} - m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + 2 \, b n x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right) + 2 \, b n x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right) - 4 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) - 4 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) + 4 \, m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right) - 4 \, m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right) - m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} - m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} - x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} - x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + 4 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) - 4 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) - x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} - x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} - 4 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) - 4 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right) \tan\left(\frac{1}{2} \, a\right) + 4 \, x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right) - 4 \, x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right) \tan\left(\frac{1}{2} \, a\right) - x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} - x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} \tan\left(\frac{1}{2} \, a\right)^{2} + m x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} + m x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)} + x {\left| x \right|}^{m} e^{\left(\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi b n + \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) - \frac{1}{2} \, \pi b\right)} + x {\left| x \right|}^{m} e^{\left(-\frac{1}{2} \, \pi b n \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \pi b n - \frac{1}{2} \, \pi b \mathrm{sgn}\left(c\right) + \frac{1}{2} \, \pi b\right)}}{2 \, {\left(b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + m^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, m \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + m^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + b^{2} n^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + m^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + m^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, m \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + 2 \, m \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, m \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b^{2} n^{2} + m^{2} \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + m^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + m^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, m \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + 2 \, m \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + 2 \, m \tan\left(\frac{1}{2} \, a\right)^{2} + m^{2} + \tan\left(\frac{1}{2} \, b n \log\left({\left| x \right|}\right) + \frac{1}{2} \, b \log\left({\left| c \right|}\right)\right)^{2} + \tan\left(\frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{4} \, \pi m\right)^{2} + \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, m + 1\right)}}"," ",0,"1/2*(2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a) + 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a) - 2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a)^2 + 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a)^2 + 2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 - m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 - m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 - x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 - x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + 2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) - 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) - 2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 - 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 - 2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) - 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a) + 8*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a) - 8*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a) - 4*m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a) + 4*m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a) - 2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a) - 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a) + 4*m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a) + 4*m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a) - 2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 - 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a)^2 + m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + 2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a)^2 - 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a)^2 - 4*m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a)^2 + 4*m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a)^2 + m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 - 4*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a) + 4*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a) + 4*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a) + 4*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a) + x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 - 4*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a)^2 + 4*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a)^2 + x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + 2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) + 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c))) - m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 - m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 - 2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) + 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) + 4*m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) - 4*m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) - m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 - m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + 2*b*n*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a) + 2*b*n*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a) - 4*m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) - 4*m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) + 4*m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a) - 4*m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a) - m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a)^2 - m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a)^2 - x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 - x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + 4*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) - 4*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/4*pi*m*sgn(x) - 1/4*pi*m) - x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 - x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 - 4*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) - 4*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))*tan(1/2*a) + 4*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a) - 4*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)*tan(1/2*a) - x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b)*tan(1/2*a)^2 - x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b)*tan(1/2*a)^2 + m*x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b) + m*x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b) + x*abs(x)^m*e^(1/2*pi*b*n*sgn(x) - 1/2*pi*b*n + 1/2*pi*b*sgn(c) - 1/2*pi*b) + x*abs(x)^m*e^(-1/2*pi*b*n*sgn(x) + 1/2*pi*b*n - 1/2*pi*b*sgn(c) + 1/2*pi*b))/(b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + b^2*n^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + m^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + 2*m*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + b^2*n^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + b^2*n^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + m^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + b^2*n^2*tan(1/2*a)^2 + m^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + m^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + 2*m*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + 2*m*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + 2*m*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + b^2*n^2 + m^2*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + m^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + m^2*tan(1/2*a)^2 + tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2*tan(1/2*a)^2 + tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2*tan(1/2*a)^2 + 2*m*tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + 2*m*tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + 2*m*tan(1/2*a)^2 + m^2 + tan(1/2*b*n*log(abs(x)) + 1/2*b*log(abs(c)))^2 + tan(1/4*pi*m*sgn(x) - 1/4*pi*m)^2 + tan(1/2*a)^2 + 2*m + 1)","B",0
127,0,0,0,0.000000," ","integrate(x^m*cos(a+b*log(c*x^n))^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
135,1,34,0,0.505371," ","integrate(x^3*tan(a+I*log(x)),x, algorithm=""giac"")","\frac{1}{4} i \, x^{4} - i \, x^{2} e^{\left(2 i \, a\right)} + i \, e^{\left(4 i \, a\right)} \log\left(i \, x^{2} + i \, e^{\left(2 i \, a\right)}\right)"," ",0,"1/4*I*x^4 - I*x^2*e^(2*I*a) + I*e^(4*I*a)*log(I*x^2 + I*e^(2*I*a))","A",0
136,1,26,0,0.351078," ","integrate(x^2*tan(a+I*log(x)),x, algorithm=""giac"")","\frac{1}{3} i \, x^{3} + 2 i \, \arctan\left(x e^{\left(-i \, a\right)}\right) e^{\left(3 i \, a\right)} - 2 i \, x e^{\left(2 i \, a\right)}"," ",0,"1/3*I*x^3 + 2*I*arctan(x*e^(-I*a))*e^(3*I*a) - 2*I*x*e^(2*I*a)","A",0
137,1,25,0,0.315809," ","integrate(x*tan(a+I*log(x)),x, algorithm=""giac"")","\frac{1}{2} i \, x^{2} - i \, e^{\left(2 i \, a\right)} \log\left(-i \, x^{2} - i \, e^{\left(2 i \, a\right)}\right)"," ",0,"1/2*I*x^2 - I*e^(2*I*a)*log(-I*x^2 - I*e^(2*I*a))","A",0
138,1,30,0,1.419072," ","integrate(tan(a+I*log(x)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{i \, x}{\sqrt{-e^{\left(2 i \, a\right)}}}\right) e^{\left(2 i \, a\right)}}{\sqrt{-e^{\left(2 i \, a\right)}}} + i \, x"," ",0,"2*arctan(I*x/sqrt(-e^(2*I*a)))*e^(2*I*a)/sqrt(-e^(2*I*a)) + I*x","A",0
139,1,43,0,0.241072," ","integrate(tan(a+I*log(x))/x,x, algorithm=""giac"")","i \, \log\left(\frac{i \, {\left(x^{2} - 1\right)} \tan\left(a\right)}{x^{2} + 1} - 1\right) - \frac{1}{2} i \, \log\left(-\frac{{\left(x^{2} - 1\right)}^{2}}{{\left(x^{2} + 1\right)}^{2}} + 1\right)"," ",0,"I*log(I*(x^2 - 1)*tan(a)/(x^2 + 1) - 1) - 1/2*I*log(-(x^2 - 1)^2/(x^2 + 1)^2 + 1)","B",0
140,1,28,0,0.435730," ","integrate(tan(a+I*log(x))/x^2,x, algorithm=""giac"")","-\frac{2 \, \arctan\left(\frac{i \, x}{\sqrt{-e^{\left(2 i \, a\right)}}}\right)}{\sqrt{-e^{\left(2 i \, a\right)}}} + \frac{i}{x}"," ",0,"-2*arctan(I*x/sqrt(-e^(2*I*a)))/sqrt(-e^(2*I*a)) + I/x","A",0
141,1,33,0,0.526433," ","integrate(tan(a+I*log(x))/x^3,x, algorithm=""giac"")","-i \, e^{\left(-2 i \, a\right)} \log\left(-i \, x^{2} - i \, e^{\left(2 i \, a\right)}\right) + 2 i \, e^{\left(-2 i \, a\right)} \log\left(x\right) + \frac{i}{2 \, x^{2}}"," ",0,"-I*e^(-2*I*a)*log(-I*x^2 - I*e^(2*I*a)) + 2*I*e^(-2*I*a)*log(x) + 1/2*I/x^2","A",0
142,1,28,0,0.292249," ","integrate(tan(a+I*log(x))/x^4,x, algorithm=""giac"")","-2 i \, \arctan\left(x e^{\left(-i \, a\right)}\right) e^{\left(-3 i \, a\right)} - \frac{2 i \, e^{\left(-2 i \, a\right)}}{x} + \frac{i}{3 \, x^{3}}"," ",0,"-2*I*arctan(x*e^(-I*a))*e^(-3*I*a) - 2*I*e^(-2*I*a)/x + 1/3*I/x^3","A",0
143,1,261,0,0.760828," ","integrate(x^3*tan(a+I*log(x))^2,x, algorithm=""giac"")","-\frac{x^{6}}{4 \, {\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)}} + \frac{3 \, x^{4} e^{\left(2 i \, a\right)}}{2 \, {\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)}} - \frac{4 \, x^{2} e^{\left(4 i \, a\right)} \log\left(-x^{2} - e^{\left(2 i \, a\right)}\right)}{x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}} + \frac{17 \, x^{2} e^{\left(4 i \, a\right)}}{4 \, {\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)}} - \frac{8 \, e^{\left(6 i \, a\right)} \log\left(-x^{2} - e^{\left(2 i \, a\right)}\right)}{x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}} + \frac{e^{\left(6 i \, a\right)}}{x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}} - \frac{4 \, e^{\left(8 i \, a\right)} \log\left(-x^{2} - e^{\left(2 i \, a\right)}\right)}{{\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)} x^{2}} - \frac{3 \, e^{\left(8 i \, a\right)}}{2 \, {\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)} x^{2}}"," ",0,"-1/4*x^6/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) + 3/2*x^4*e^(2*I*a)/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) - 4*x^2*e^(4*I*a)*log(-x^2 - e^(2*I*a))/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) + 17/4*x^2*e^(4*I*a)/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) - 8*e^(6*I*a)*log(-x^2 - e^(2*I*a))/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) + e^(6*I*a)/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) - 4*e^(8*I*a)*log(-x^2 - e^(2*I*a))/((x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a))*x^2) - 3/2*e^(8*I*a)/((x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a))*x^2)","B",0
144,1,141,0,0.555948," ","integrate(x^2*tan(a+I*log(x))^2,x, algorithm=""giac"")","-\frac{x^{5}}{3 \, {\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)}} + \frac{10 \, x^{3} e^{\left(2 i \, a\right)}}{3 \, {\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)}} - 6 \, \arctan\left(x e^{\left(-i \, a\right)}\right) e^{\left(3 i \, a\right)} + \frac{35 \, x e^{\left(4 i \, a\right)}}{3 \, {\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)}} + \frac{2 \, x e^{\left(4 i \, a\right)}}{x^{2} + e^{\left(2 i \, a\right)}} + \frac{8 \, e^{\left(6 i \, a\right)}}{{\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)} x}"," ",0,"-1/3*x^5/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) + 10/3*x^3*e^(2*I*a)/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) - 6*arctan(x*e^(-I*a))*e^(3*I*a) + 35/3*x*e^(4*I*a)/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) + 2*x*e^(4*I*a)/(x^2 + e^(2*I*a)) + 8*e^(6*I*a)/((x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a))*x)","B",0
145,1,221,0,0.572990," ","integrate(x*tan(a+I*log(x))^2,x, algorithm=""giac"")","-\frac{x^{4}}{2 \, {\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)}} + \frac{2 \, x^{2} e^{\left(2 i \, a\right)} \log\left(x^{2} + e^{\left(2 i \, a\right)}\right)}{x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}} - \frac{5 \, x^{2} e^{\left(2 i \, a\right)}}{2 \, {\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)}} + \frac{4 \, e^{\left(4 i \, a\right)} \log\left(x^{2} + e^{\left(2 i \, a\right)}\right)}{x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}} - \frac{3 \, e^{\left(4 i \, a\right)}}{2 \, {\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)}} + \frac{2 \, e^{\left(6 i \, a\right)} \log\left(x^{2} + e^{\left(2 i \, a\right)}\right)}{{\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)} x^{2}} + \frac{e^{\left(6 i \, a\right)}}{2 \, {\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)} x^{2}}"," ",0,"-1/2*x^4/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) + 2*x^2*e^(2*I*a)*log(x^2 + e^(2*I*a))/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) - 5/2*x^2*e^(2*I*a)/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) + 4*e^(4*I*a)*log(x^2 + e^(2*I*a))/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) - 3/2*e^(4*I*a)/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) + 2*e^(6*I*a)*log(x^2 + e^(2*I*a))/((x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a))*x^2) + 1/2*e^(6*I*a)/((x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a))*x^2)","B",0
146,1,114,0,0.390599," ","integrate(tan(a+I*log(x))^2,x, algorithm=""giac"")","-\frac{x^{3}}{x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}} + 2 \, {\left(\arctan\left(x e^{\left(-i \, a\right)}\right) e^{\left(-i \, a\right)} - \frac{x}{x^{2} + e^{\left(2 i \, a\right)}}\right)} e^{\left(2 i \, a\right)} - \frac{6 \, x e^{\left(2 i \, a\right)}}{x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}} - \frac{5 \, e^{\left(4 i \, a\right)}}{{\left(x^{2} + \frac{e^{\left(4 i \, a\right)}}{x^{2}} + 2 \, e^{\left(2 i \, a\right)}\right)} x}"," ",0,"-x^3/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) + 2*(arctan(x*e^(-I*a))*e^(-I*a) - x/(x^2 + e^(2*I*a)))*e^(2*I*a) - 6*x*e^(2*I*a)/(x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a)) - 5*e^(4*I*a)/((x^2 + e^(4*I*a)/x^2 + 2*e^(2*I*a))*x)","B",0
147,1,38,0,0.250139," ","integrate(tan(a+I*log(x))^2/x,x, algorithm=""giac"")","\frac{i \, \tan\left(a\right)^{2} + i}{{\left(\frac{i \, {\left(x^{2} - 1\right)} \tan\left(a\right)}{x^{2} + 1} - 1\right)} \tan\left(a\right)} - \log\left(x\right)"," ",0,"(I*tan(a)^2 + I)/((I*(x^2 - 1)*tan(a)/(x^2 + 1) - 1)*tan(a)) - log(x)","B",0
148,1,73,0,0.556699," ","integrate(tan(a+I*log(x))^2/x^2,x, algorithm=""giac"")","2 \, {\left(\arctan\left(x e^{\left(-i \, a\right)}\right) e^{\left(-3 i \, a\right)} + \frac{x e^{\left(-2 i \, a\right)}}{x^{2} + e^{\left(2 i \, a\right)}}\right)} e^{\left(2 i \, a\right)} + \frac{5}{x {\left(\frac{e^{\left(2 i \, a\right)}}{x^{2}} + 1\right)}} + \frac{e^{\left(2 i \, a\right)}}{x^{3} {\left(\frac{e^{\left(2 i \, a\right)}}{x^{2}} + 1\right)}}"," ",0,"2*(arctan(x*e^(-I*a))*e^(-3*I*a) + x*e^(-2*I*a)/(x^2 + e^(2*I*a)))*e^(2*I*a) + 5/(x*(e^(2*I*a)/x^2 + 1)) + e^(2*I*a)/(x^3*(e^(2*I*a)/x^2 + 1))","A",0
149,1,178,0,0.768034," ","integrate(tan(a+I*log(x))^2/x^3,x, algorithm=""giac"")","-\frac{2 \, \log\left(-x^{2} - e^{\left(2 i \, a\right)}\right)}{\frac{e^{\left(4 i \, a\right)}}{x^{2}} + e^{\left(2 i \, a\right)}} + \frac{4 \, \log\left(x\right)}{\frac{e^{\left(4 i \, a\right)}}{x^{2}} + e^{\left(2 i \, a\right)}} - \frac{2}{\frac{e^{\left(4 i \, a\right)}}{x^{2}} + e^{\left(2 i \, a\right)}} - \frac{2 \, e^{\left(2 i \, a\right)} \log\left(-x^{2} - e^{\left(2 i \, a\right)}\right)}{x^{2} {\left(\frac{e^{\left(4 i \, a\right)}}{x^{2}} + e^{\left(2 i \, a\right)}\right)}} + \frac{4 \, e^{\left(2 i \, a\right)} \log\left(x\right)}{x^{2} {\left(\frac{e^{\left(4 i \, a\right)}}{x^{2}} + e^{\left(2 i \, a\right)}\right)}} + \frac{e^{\left(2 i \, a\right)}}{2 \, x^{2} {\left(\frac{e^{\left(4 i \, a\right)}}{x^{2}} + e^{\left(2 i \, a\right)}\right)}} + \frac{e^{\left(4 i \, a\right)}}{2 \, x^{4} {\left(\frac{e^{\left(4 i \, a\right)}}{x^{2}} + e^{\left(2 i \, a\right)}\right)}}"," ",0,"-2*log(-x^2 - e^(2*I*a))/(e^(4*I*a)/x^2 + e^(2*I*a)) + 4*log(x)/(e^(4*I*a)/x^2 + e^(2*I*a)) - 2/(e^(4*I*a)/x^2 + e^(2*I*a)) - 2*e^(2*I*a)*log(-x^2 - e^(2*I*a))/(x^2*(e^(4*I*a)/x^2 + e^(2*I*a))) + 4*e^(2*I*a)*log(x)/(x^2*(e^(4*I*a)/x^2 + e^(2*I*a))) + 1/2*e^(2*I*a)/(x^2*(e^(4*I*a)/x^2 + e^(2*I*a))) + 1/2*e^(4*I*a)/(x^4*(e^(4*I*a)/x^2 + e^(2*I*a)))","B",0
150,0,0,0,0.000000," ","integrate((e*x)^m*tan(a+I*log(x)),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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,-1,0,0,0.000000," ","integrate(tan(a+b*log(x))^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
154,-1,0,0,0.000000," ","integrate((e*x)^m*tan(a+b*log(x))^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
155,-1,0,0,0.000000," ","integrate(tan(a+log(x))^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
156,-1,0,0,0.000000," ","integrate(tan(a+2*log(x))^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
157,-1,0,0,0.000000," ","integrate(tan(a+3*log(x))^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
158,-1,0,0,0.000000," ","integrate(x^3*tan(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
159,-1,0,0,0.000000," ","integrate(x^2*tan(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
160,-1,0,0,0.000000," ","integrate(x*tan(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
161,-1,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
162,-1,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,-1,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
164,0,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,-1,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))^2/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,-1,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))^2/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,0,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))^2/x^3,x, algorithm=""giac"")","\int \frac{\tan\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(tan((b*log(c*x^n) + a)*d)^2/x^3, x)","F",0
172,-1,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^3/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
173,-1,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^4/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,-1,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^5/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
175,-1,0,0,0.000000," ","integrate((e*x)^m*tan(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
176,-1,0,0,0.000000," ","integrate((e*x)^m*tan(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,-1,0,0,0.000000," ","integrate(tan(d*(a+b*log(c*x^n)))^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,-1,0,0,0.000000," ","integrate((e*x)^m*tan(d*(a+b*log(c*x^n)))^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
180,-1,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,-1,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
182,-1,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,-1,0,0,0.000000," ","integrate(1/x/tan(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,-1,0,0,0.000000," ","integrate(1/x/tan(a+b*log(c*x^n))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,-1,0,0,0.000000," ","integrate(1/x/tan(a+b*log(c*x^n))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
186,1,50,0,0.550622," ","integrate(x^3*cot(a+I*log(x)),x, algorithm=""giac"")","-\frac{1}{4} i \, x^{4} - i \, x^{2} e^{\left(2 i \, a\right)} + \frac{1}{2} \, \pi e^{\left(4 i \, a\right)} - i \, e^{\left(4 i \, a\right)} \log\left(x + e^{\left(i \, a\right)}\right) - i \, e^{\left(4 i \, a\right)} \log\left(-x + e^{\left(i \, a\right)}\right)"," ",0,"-1/4*I*x^4 - I*x^2*e^(2*I*a) + 1/2*pi*e^(4*I*a) - I*e^(4*I*a)*log(x + e^(I*a)) - I*e^(4*I*a)*log(-x + e^(I*a))","A",0
187,1,47,0,1.069083," ","integrate(x^2*cot(a+I*log(x)),x, algorithm=""giac"")","-\frac{1}{3} i \, x^{3} - 2 i \, x e^{\left(2 i \, a\right)} + i \, e^{\left(3 i \, a\right)} \log\left(i \, x + i \, e^{\left(i \, a\right)}\right) - i \, e^{\left(3 i \, a\right)} \log\left(-i \, x + i \, e^{\left(i \, a\right)}\right)"," ",0,"-1/3*I*x^3 - 2*I*x*e^(2*I*a) + I*e^(3*I*a)*log(I*x + I*e^(I*a)) - I*e^(3*I*a)*log(-I*x + I*e^(I*a))","A",0
188,1,41,0,2.495213," ","integrate(x*cot(a+I*log(x)),x, algorithm=""giac"")","-\frac{1}{2} i \, x^{2} + \frac{1}{2} \, \pi e^{\left(2 i \, a\right)} - i \, e^{\left(2 i \, a\right)} \log\left(x + e^{\left(i \, a\right)}\right) - i \, e^{\left(2 i \, a\right)} \log\left(-x + e^{\left(i \, a\right)}\right)"," ",0,"-1/2*I*x^2 + 1/2*pi*e^(2*I*a) - I*e^(2*I*a)*log(x + e^(I*a)) - I*e^(2*I*a)*log(-x + e^(I*a))","A",0
189,1,38,0,0.437857," ","integrate(cot(a+I*log(x)),x, algorithm=""giac"")","i \, e^{\left(i \, a\right)} \log\left(i \, x + i \, e^{\left(i \, a\right)}\right) - i \, e^{\left(i \, a\right)} \log\left(-i \, x + i \, e^{\left(i \, a\right)}\right) - i \, x"," ",0,"I*e^(I*a)*log(I*x + I*e^(I*a)) - I*e^(I*a)*log(-I*x + I*e^(I*a)) - I*x","B",0
190,1,66,0,1.208325," ","integrate(cot(a+I*log(x))/x,x, algorithm=""giac"")","-i \, \log\left(\frac{i \, {\left(x^{2} - 1\right)} \tan\left(\frac{1}{2} \, a\right)^{2}}{x^{2} + 1} - \frac{i \, {\left(x^{2} - 1\right)}}{x^{2} + 1} - 2 \, \tan\left(\frac{1}{2} \, a\right)\right) + \frac{1}{2} i \, \log\left(-\frac{{\left(x^{2} - 1\right)}^{2}}{{\left(x^{2} + 1\right)}^{2}} + 1\right)"," ",0,"-I*log(I*(x^2 - 1)*tan(1/2*a)^2/(x^2 + 1) - I*(x^2 - 1)/(x^2 + 1) - 2*tan(1/2*a)) + 1/2*I*log(-(x^2 - 1)^2/(x^2 + 1)^2 + 1)","B",0
191,1,40,0,0.596828," ","integrate(cot(a+I*log(x))/x^2,x, algorithm=""giac"")","i \, e^{\left(-i \, a\right)} \log\left(i \, x + i \, e^{\left(i \, a\right)}\right) - i \, e^{\left(-i \, a\right)} \log\left(-i \, x + i \, e^{\left(i \, a\right)}\right) - \frac{i}{x}"," ",0,"I*e^(-I*a)*log(I*x + I*e^(I*a)) - I*e^(-I*a)*log(-I*x + I*e^(I*a)) - I/x","B",0
192,1,49,0,0.254362," ","integrate(cot(a+I*log(x))/x^3,x, algorithm=""giac"")","\frac{1}{2} \, \pi e^{\left(-2 i \, a\right)} - i \, e^{\left(-2 i \, a\right)} \log\left(x + e^{\left(i \, a\right)}\right) + 2 i \, e^{\left(-2 i \, a\right)} \log\left(x\right) - i \, e^{\left(-2 i \, a\right)} \log\left(-x + e^{\left(i \, a\right)}\right) - \frac{i}{2 \, x^{2}}"," ",0,"1/2*pi*e^(-2*I*a) - I*e^(-2*I*a)*log(x + e^(I*a)) + 2*I*e^(-2*I*a)*log(x) - I*e^(-2*I*a)*log(-x + e^(I*a)) - 1/2*I/x^2","B",0
193,1,49,0,0.258267," ","integrate(cot(a+I*log(x))/x^4,x, algorithm=""giac"")","i \, e^{\left(-3 i \, a\right)} \log\left(i \, x + i \, e^{\left(i \, a\right)}\right) - i \, e^{\left(-3 i \, a\right)} \log\left(-i \, x + i \, e^{\left(i \, a\right)}\right) - \frac{2 i \, e^{\left(-2 i \, a\right)}}{x} - \frac{i}{3 \, x^{3}}"," ",0,"I*e^(-3*I*a)*log(I*x + I*e^(I*a)) - I*e^(-3*I*a)*log(-I*x + I*e^(I*a)) - 2*I*e^(-2*I*a)/x - 1/3*I/x^3","A",0
194,1,139,0,0.278497," ","integrate(x^3*cot(a+I*log(x))^2,x, algorithm=""giac"")","-\frac{x^{6}}{4 \, {\left(x^{2} - e^{\left(2 i \, a\right)}\right)}} - \frac{7 \, x^{4} e^{\left(2 i \, a\right)}}{4 \, {\left(x^{2} - e^{\left(2 i \, a\right)}\right)}} - \frac{4 \, x^{2} e^{\left(4 i \, a\right)} \log\left(-x^{2} + e^{\left(2 i \, a\right)}\right)}{x^{2} - e^{\left(2 i \, a\right)}} + \frac{2 \, x^{2} e^{\left(4 i \, a\right)}}{x^{2} - e^{\left(2 i \, a\right)}} + \frac{4 \, e^{\left(6 i \, a\right)} \log\left(-x^{2} + e^{\left(2 i \, a\right)}\right)}{x^{2} - e^{\left(2 i \, a\right)}} + \frac{2 \, e^{\left(6 i \, a\right)}}{x^{2} - e^{\left(2 i \, a\right)}}"," ",0,"-1/4*x^6/(x^2 - e^(2*I*a)) - 7/4*x^4*e^(2*I*a)/(x^2 - e^(2*I*a)) - 4*x^2*e^(4*I*a)*log(-x^2 + e^(2*I*a))/(x^2 - e^(2*I*a)) + 2*x^2*e^(4*I*a)/(x^2 - e^(2*I*a)) + 4*e^(6*I*a)*log(-x^2 + e^(2*I*a))/(x^2 - e^(2*I*a)) + 2*e^(6*I*a)/(x^2 - e^(2*I*a))","B",0
195,1,83,0,0.668804," ","integrate(x^2*cot(a+I*log(x))^2,x, algorithm=""giac"")","-\frac{x^{5}}{3 \, {\left(x^{2} - e^{\left(2 i \, a\right)}\right)}} - \frac{11 \, x^{3} e^{\left(2 i \, a\right)}}{3 \, {\left(x^{2} - e^{\left(2 i \, a\right)}\right)}} - \frac{6 \, \arctan\left(\frac{x}{\sqrt{-e^{\left(2 i \, a\right)}}}\right) e^{\left(4 i \, a\right)}}{\sqrt{-e^{\left(2 i \, a\right)}}} + \frac{10 \, x e^{\left(4 i \, a\right)}}{x^{2} - e^{\left(2 i \, a\right)}}"," ",0,"-1/3*x^5/(x^2 - e^(2*I*a)) - 11/3*x^3*e^(2*I*a)/(x^2 - e^(2*I*a)) - 6*arctan(x/sqrt(-e^(2*I*a)))*e^(4*I*a)/sqrt(-e^(2*I*a)) + 10*x*e^(4*I*a)/(x^2 - e^(2*I*a))","A",0
196,1,118,0,0.274650," ","integrate(x*cot(a+I*log(x))^2,x, algorithm=""giac"")","-\frac{x^{4}}{2 \, {\left(x^{2} - e^{\left(2 i \, a\right)}\right)}} - \frac{2 \, x^{2} e^{\left(2 i \, a\right)} \log\left(-x^{2} + e^{\left(2 i \, a\right)}\right)}{x^{2} - e^{\left(2 i \, a\right)}} + \frac{x^{2} e^{\left(2 i \, a\right)}}{2 \, {\left(x^{2} - e^{\left(2 i \, a\right)}\right)}} + \frac{2 \, e^{\left(4 i \, a\right)} \log\left(-x^{2} + e^{\left(2 i \, a\right)}\right)}{x^{2} - e^{\left(2 i \, a\right)}} + \frac{2 \, e^{\left(4 i \, a\right)}}{x^{2} - e^{\left(2 i \, a\right)}}"," ",0,"-1/2*x^4/(x^2 - e^(2*I*a)) - 2*x^2*e^(2*I*a)*log(-x^2 + e^(2*I*a))/(x^2 - e^(2*I*a)) + 1/2*x^2*e^(2*I*a)/(x^2 - e^(2*I*a)) + 2*e^(4*I*a)*log(-x^2 + e^(2*I*a))/(x^2 - e^(2*I*a)) + 2*e^(4*I*a)/(x^2 - e^(2*I*a))","B",0
197,1,79,0,0.458062," ","integrate(cot(a+I*log(x))^2,x, algorithm=""giac"")","-\frac{x^{3}}{x^{2} - e^{\left(2 i \, a\right)}} - 2 \, {\left(\frac{\arctan\left(\frac{x}{\sqrt{-e^{\left(2 i \, a\right)}}}\right)}{\sqrt{-e^{\left(2 i \, a\right)}}} - \frac{x}{x^{2} - e^{\left(2 i \, a\right)}}\right)} e^{\left(2 i \, a\right)} + \frac{5 \, x e^{\left(2 i \, a\right)}}{x^{2} - e^{\left(2 i \, a\right)}}"," ",0,"-x^3/(x^2 - e^(2*I*a)) - 2*(arctan(x/sqrt(-e^(2*I*a)))/sqrt(-e^(2*I*a)) - x/(x^2 - e^(2*I*a)))*e^(2*I*a) + 5*x*e^(2*I*a)/(x^2 - e^(2*I*a))","B",0
198,1,76,0,0.311845," ","integrate(cot(a+I*log(x))^2/x,x, algorithm=""giac"")","\frac{i \, {\left(\tan\left(\frac{1}{2} \, a\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, a\right)^{2} + 1\right)}}{{\left(\frac{i \, {\left(x^{2} - 1\right)} \tan\left(\frac{1}{2} \, a\right)^{2}}{x^{2} + 1} - \frac{i \, {\left(x^{2} - 1\right)}}{x^{2} + 1} - 2 \, \tan\left(\frac{1}{2} \, a\right)\right)} {\left(\tan\left(\frac{1}{2} \, a\right)^{2} - 1\right)}} - \log\left(x\right)"," ",0,"I*(tan(1/2*a)^4 + 2*tan(1/2*a)^2 + 1)/((I*(x^2 - 1)*tan(1/2*a)^2/(x^2 + 1) - I*(x^2 - 1)/(x^2 + 1) - 2*tan(1/2*a))*(tan(1/2*a)^2 - 1)) - log(x)","B",0
199,1,87,0,0.296679," ","integrate(cot(a+I*log(x))^2/x^2,x, algorithm=""giac"")","2 \, {\left(\frac{\arctan\left(\frac{x}{\sqrt{-e^{\left(2 i \, a\right)}}}\right) e^{\left(-2 i \, a\right)}}{\sqrt{-e^{\left(2 i \, a\right)}}} + \frac{x e^{\left(-2 i \, a\right)}}{x^{2} - e^{\left(2 i \, a\right)}}\right)} e^{\left(2 i \, a\right)} + \frac{5 \, x^{2}}{x^{3} - x e^{\left(2 i \, a\right)}} - \frac{e^{\left(2 i \, a\right)}}{x^{3} - x e^{\left(2 i \, a\right)}}"," ",0,"2*(arctan(x/sqrt(-e^(2*I*a)))*e^(-2*I*a)/sqrt(-e^(2*I*a)) + x*e^(-2*I*a)/(x^2 - e^(2*I*a)))*e^(2*I*a) + 5*x^2/(x^3 - x*e^(2*I*a)) - e^(2*I*a)/(x^3 - x*e^(2*I*a))","A",0
200,1,190,0,0.411975," ","integrate(cot(a+I*log(x))^2/x^3,x, algorithm=""giac"")","\frac{2 \, x^{4} \log\left(x^{2} - e^{\left(2 i \, a\right)}\right)}{x^{4} e^{\left(2 i \, a\right)} - x^{2} e^{\left(4 i \, a\right)}} - \frac{4 \, x^{4} \log\left(x\right)}{x^{4} e^{\left(2 i \, a\right)} - x^{2} e^{\left(4 i \, a\right)}} - \frac{2 \, x^{2} e^{\left(2 i \, a\right)} \log\left(x^{2} - e^{\left(2 i \, a\right)}\right)}{x^{4} e^{\left(2 i \, a\right)} - x^{2} e^{\left(4 i \, a\right)}} + \frac{4 \, x^{2} e^{\left(2 i \, a\right)} \log\left(x\right)}{x^{4} e^{\left(2 i \, a\right)} - x^{2} e^{\left(4 i \, a\right)}} + \frac{5 \, x^{2} e^{\left(2 i \, a\right)}}{2 \, {\left(x^{4} e^{\left(2 i \, a\right)} - x^{2} e^{\left(4 i \, a\right)}\right)}} - \frac{e^{\left(4 i \, a\right)}}{2 \, {\left(x^{4} e^{\left(2 i \, a\right)} - x^{2} e^{\left(4 i \, a\right)}\right)}}"," ",0,"2*x^4*log(x^2 - e^(2*I*a))/(x^4*e^(2*I*a) - x^2*e^(4*I*a)) - 4*x^4*log(x)/(x^4*e^(2*I*a) - x^2*e^(4*I*a)) - 2*x^2*e^(2*I*a)*log(x^2 - e^(2*I*a))/(x^4*e^(2*I*a) - x^2*e^(4*I*a)) + 4*x^2*e^(2*I*a)*log(x)/(x^4*e^(2*I*a) - x^2*e^(4*I*a)) + 5/2*x^2*e^(2*I*a)/(x^4*e^(2*I*a) - x^2*e^(4*I*a)) - 1/2*e^(4*I*a)/(x^4*e^(2*I*a) - x^2*e^(4*I*a))","B",0
201,0,0,0,0.000000," ","integrate((e*x)^m*cot(a+I*log(x)),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-1,0,0,0.000000," ","integrate(x^3*cot(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,-1,0,0,0.000000," ","integrate(x^2*cot(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
211,-1,0,0,0.000000," ","integrate(x*cot(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
212,-1,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
213,-1,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
214,-1,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
215,-1,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
216,-1,0,0,0.000000," ","integrate(x^3*cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
220,-1,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))^2/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
221,-1,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))^2/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
222,0,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))^2/x^3,x, algorithm=""giac"")","\int \frac{\cot\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(cot((b*log(c*x^n) + a)*d)^2/x^3, x)","F",0
223,-1,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^3/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
224,-1,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^4/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
225,-1,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^5/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
226,-1,0,0,0.000000," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
227,-1,0,0,0.000000," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
228,-1,0,0,0.000000," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n)))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
229,-1,0,0,0.000000," ","integrate(cot(d*(a+b*log(c*x^n)))^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
230,-1,0,0,0.000000," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n)))^p,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
231,-1,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
232,-1,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
233,-1,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
234,-1,0,0,0.000000," ","integrate(1/x/cot(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
235,-1,0,0,0.000000," ","integrate(1/x/cot(a+b*log(c*x^n))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
236,-1,0,0,0.000000," ","integrate(1/x/cot(a+b*log(c*x^n))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
237,0,0,0,0.000000," ","integrate(x^2*sec(a+b*log(c*x^n)),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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
240,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)}{x}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)/x, x)","F",0
241,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\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=""giac"")","\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
243,0,0,0,0.000000," ","integrate(x^2*sec(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int x^{2} \sec\left(b \log\left(c x^{n}\right) + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*sec(b*log(c*x^n) + a)^2, x)","F",0
244,0,0,0,0.000000," ","integrate(x*sec(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int x \sec\left(b \log\left(c x^{n}\right) + a\right)^{2}\,{d x}"," ",0,"integrate(x*sec(b*log(c*x^n) + a)^2, x)","F",0
245,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \sec\left(b \log\left(c x^{n}\right) + a\right)^{2}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^2, x)","F",0
246,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^2/x, x)","F",0
247,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^2/x^2,x, algorithm=""giac"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^2/x^2, x)","F",0
248,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^2/x^3,x, algorithm=""giac"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^2/x^3, x)","F",0
249,0,0,0,0.000000," ","integrate(x*sec(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\int x \sec\left(b \log\left(c x^{n}\right) + a\right)^{3}\,{d x}"," ",0,"integrate(x*sec(b*log(c*x^n) + a)^3, x)","F",0
250,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\int \sec\left(b \log\left(c x^{n}\right) + a\right)^{3}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^3, x)","F",0
251,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^3/x,x, algorithm=""giac"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^3/x, x)","F",0
252,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^3/x^2,x, algorithm=""giac"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^3/x^2, x)","F",0
253,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^3/x^3,x, algorithm=""giac"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{3}}{x^{3}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^3/x^3, x)","F",0
254,0,0,0,0.000000," ","integrate(x*sec(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\int x \sec\left(b \log\left(c x^{n}\right) + a\right)^{4}\,{d x}"," ",0,"integrate(x*sec(b*log(c*x^n) + a)^4, x)","F",0
255,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\int \sec\left(b \log\left(c x^{n}\right) + a\right)^{4}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^4, x)","F",0
256,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^4/x,x, algorithm=""giac"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{4}}{x}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^4/x, x)","F",0
257,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^4/x^2,x, algorithm=""giac"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{4}}{x^{2}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^4/x^2, x)","F",0
258,0,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^4/x^3,x, algorithm=""giac"")","\int \frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{4}}{x^{3}}\,{d x}"," ",0,"integrate(sec(b*log(c*x^n) + a)^4/x^3, x)","F",0
259,0,0,0,0.000000," ","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=""giac"")","\int 2 \, b^{2} n^{2} \sec\left(b \log\left(c x^{n}\right) + a\right)^{3} - {\left(b^{2} n^{2} + 1\right)} \sec\left(b \log\left(c x^{n}\right) + a\right)\,{d x}"," ",0,"integrate(2*b^2*n^2*sec(b*log(c*x^n) + a)^3 - (b^2*n^2 + 1)*sec(b*log(c*x^n) + a), x)","F",0
260,1,834,0,18.020344," ","integrate(x^m*sec(a+2*log(c*x^(1/2*(-(1+m)^2)^(1/2))))^3,x, algorithm=""giac"")","\frac{c^{6 i} m x x^{m} x^{{\left| m + 1 \right|}} e^{\left(3 i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} + 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}} - \frac{c^{6 i} x x^{m} x^{{\left| m + 1 \right|}} {\left| m + 1 \right|} e^{\left(3 i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} + 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}} + \frac{c^{6 i} x x^{m} x^{{\left| m + 1 \right|}} e^{\left(3 i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} + 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}} + \frac{c^{2 i} m x x^{m} x^{3 \, {\left| m + 1 \right|}} e^{\left(i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} + 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}} + \frac{c^{2 i} x x^{m} x^{3 \, {\left| m + 1 \right|}} {\left| m + 1 \right|} e^{\left(i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} + 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}} + \frac{c^{2 i} x x^{m} x^{3 \, {\left| m + 1 \right|}} e^{\left(i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} + 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}}"," ",0,"c^(6*I)*m*x*x^m*x^abs(m + 1)*e^(3*I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) + 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) + 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) + 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1))) - c^(6*I)*x*x^m*x^abs(m + 1)*abs(m + 1)*e^(3*I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) + 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) + 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) + 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1))) + c^(6*I)*x*x^m*x^abs(m + 1)*e^(3*I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) + 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) + 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) + 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1))) + c^(2*I)*m*x*x^m*x^(3*abs(m + 1))*e^(I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) + 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) + 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) + 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1))) + c^(2*I)*x*x^m*x^(3*abs(m + 1))*abs(m + 1)*e^(I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) + 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) + 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) + 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1))) + c^(2*I)*x*x^m*x^(3*abs(m + 1))*e^(I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) + 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) + 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) + 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1)))","C",0
261,0,0,0,0.000000," ","integrate(x*sec(a+2*log(c*x^I))^3,x, algorithm=""giac"")","\int x \sec\left(a + 2 \, \log\left(c x^{i}\right)\right)^{3}\,{d x}"," ",0,"integrate(x*sec(a + 2*log(c*x^I))^3, x)","F",0
262,1,74,0,3.035696," ","integrate(sec(a+2*log(c*x^(1/2*I)))^3,x, algorithm=""giac"")","-\frac{2 \, c^{10 i} e^{\left(5 i \, a\right)}}{c^{8 i} e^{\left(4 i \, a\right)} + 2 \, c^{4 i} x^{2} e^{\left(2 i \, a\right)} + x^{4}} - \frac{4 \, c^{6 i} x^{2} e^{\left(3 i \, a\right)}}{c^{8 i} e^{\left(4 i \, a\right)} + 2 \, c^{4 i} x^{2} e^{\left(2 i \, a\right)} + x^{4}}"," ",0,"-2*c^(10*I)*e^(5*I*a)/(c^(8*I)*e^(4*I*a) + 2*c^(4*I)*x^2*e^(2*I*a) + x^4) - 4*c^(6*I)*x^2*e^(3*I*a)/(c^(8*I)*e^(4*I*a) + 2*c^(4*I)*x^2*e^(2*I*a) + x^4)","A",0
263,1,83,0,3.158038," ","integrate(sec(a+2*log(c/(x^(1/2*I))))^3,x, algorithm=""giac"")","-\frac{4 \, c^{4 i} x^{2} e^{\left(2 i \, a\right)}}{c^{10 i} x^{4} e^{\left(5 i \, a\right)} + 2 \, c^{6 i} x^{2} e^{\left(3 i \, a\right)} + c^{2 i} e^{\left(i \, a\right)}} - \frac{2}{c^{10 i} x^{4} e^{\left(5 i \, a\right)} + 2 \, c^{6 i} x^{2} e^{\left(3 i \, a\right)} + c^{2 i} e^{\left(i \, a\right)}}"," ",0,"-4*c^(4*I)*x^2*e^(2*I*a)/(c^(10*I)*x^4*e^(5*I*a) + 2*c^(6*I)*x^2*e^(3*I*a) + c^(2*I)*e^(I*a)) - 2/(c^(10*I)*x^4*e^(5*I*a) + 2*c^(6*I)*x^2*e^(3*I*a) + c^(2*I)*e^(I*a))","B",0
264,0,0,0,0.000000," ","integrate(sec(a+I*log(c*x^n)/n/(-2+p))^p,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-1,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
269,-1,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
270,-1,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
271,-1,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
272,0,0,0,0.000000," ","integrate(1/sec(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
278,0,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\int x^{m} \sec\left(b \log\left(c x^{n}\right) + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*sec(b*log(c*x^n) + a)^3, x)","F",0
279,0,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int x^{m} \sec\left(b \log\left(c x^{n}\right) + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*sec(b*log(c*x^n) + a)^2, x)","F",0
280,0,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n)),x, algorithm=""giac"")","\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,-1,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
282,-1,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
283,0,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
292,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\int \frac{\csc\left(b \log\left(c x^{n}\right) + a\right)}{x}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)/x, x)","F",0
293,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\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=""giac"")","\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
295,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \csc\left(b \log\left(c x^{n}\right) + a\right)^{2}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^2, x)","F",0
296,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","\int \frac{\csc\left(b \log\left(c x^{n}\right) + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^2/x, x)","F",0
297,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\int \csc\left(b \log\left(c x^{n}\right) + a\right)^{3}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^3, x)","F",0
298,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^3/x,x, algorithm=""giac"")","\int \frac{\csc\left(b \log\left(c x^{n}\right) + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^3/x, x)","F",0
299,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\int \csc\left(b \log\left(c x^{n}\right) + a\right)^{4}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^4, x)","F",0
300,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^4/x,x, algorithm=""giac"")","\int \frac{\csc\left(b \log\left(c x^{n}\right) + a\right)^{4}}{x}\,{d x}"," ",0,"integrate(csc(b*log(c*x^n) + a)^4/x, x)","F",0
301,0,0,0,0.000000," ","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=""giac"")","\int 2 \, b^{2} n^{2} \csc\left(b \log\left(c x^{n}\right) + a\right)^{3} - {\left(b^{2} n^{2} + 1\right)} \csc\left(b \log\left(c x^{n}\right) + a\right)\,{d x}"," ",0,"integrate(2*b^2*n^2*csc(b*log(c*x^n) + a)^3 - (b^2*n^2 + 1)*csc(b*log(c*x^n) + a), x)","F",0
302,1,839,0,19.506467," ","integrate(x^m*csc(a+2*log(c*x^(1/2*(-(1+m)^2)^(1/2))))^3,x, algorithm=""giac"")","\frac{i \, c^{6 i} m x x^{m} x^{{\left| m + 1 \right|}} e^{\left(3 i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} - 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}} - \frac{i \, c^{6 i} x x^{m} x^{{\left| m + 1 \right|}} {\left| m + 1 \right|} e^{\left(3 i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} - 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}} + \frac{i \, c^{6 i} x x^{m} x^{{\left| m + 1 \right|}} e^{\left(3 i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} - 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}} - \frac{i \, c^{2 i} m x x^{m} x^{3 \, {\left| m + 1 \right|}} e^{\left(i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} - 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}} - \frac{i \, c^{2 i} x x^{m} x^{3 \, {\left| m + 1 \right|}} {\left| m + 1 \right|} e^{\left(i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} - 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}} - \frac{i \, c^{2 i} x x^{m} x^{3 \, {\left| m + 1 \right|}} e^{\left(i \, a\right)}}{c^{8 i} m^{2} e^{\left(4 i \, a\right)} + 2 \, c^{8 i} m e^{\left(4 i \, a\right)} + c^{8 i} e^{\left(4 i \, a\right)} - 2 \, c^{4 i} m^{2} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 4 \, c^{4 i} m x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} - 2 \, c^{4 i} x^{2 \, {\left| m + 1 \right|}} e^{\left(2 i \, a\right)} + m^{2} x^{4 \, {\left| m + 1 \right|}} + 2 \, m x^{4 \, {\left| m + 1 \right|}} + x^{4 \, {\left| m + 1 \right|}}}"," ",0,"I*c^(6*I)*m*x*x^m*x^abs(m + 1)*e^(3*I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) - 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) - 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) - 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1))) - I*c^(6*I)*x*x^m*x^abs(m + 1)*abs(m + 1)*e^(3*I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) - 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) - 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) - 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1))) + I*c^(6*I)*x*x^m*x^abs(m + 1)*e^(3*I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) - 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) - 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) - 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1))) - I*c^(2*I)*m*x*x^m*x^(3*abs(m + 1))*e^(I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) - 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) - 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) - 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1))) - I*c^(2*I)*x*x^m*x^(3*abs(m + 1))*abs(m + 1)*e^(I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) - 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) - 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) - 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1))) - I*c^(2*I)*x*x^m*x^(3*abs(m + 1))*e^(I*a)/(c^(8*I)*m^2*e^(4*I*a) + 2*c^(8*I)*m*e^(4*I*a) + c^(8*I)*e^(4*I*a) - 2*c^(4*I)*m^2*x^(2*abs(m + 1))*e^(2*I*a) - 4*c^(4*I)*m*x^(2*abs(m + 1))*e^(2*I*a) - 2*c^(4*I)*x^(2*abs(m + 1))*e^(2*I*a) + m^2*x^(4*abs(m + 1)) + 2*m*x^(4*abs(m + 1)) + x^(4*abs(m + 1)))","C",0
303,0,0,0,0.000000," ","integrate(x*csc(a+2*log(c*x^I))^3,x, algorithm=""giac"")","\int x \csc\left(a + 2 \, \log\left(c x^{i}\right)\right)^{3}\,{d x}"," ",0,"integrate(x*csc(a + 2*log(c*x^I))^3, x)","F",0
304,1,74,0,2.663347," ","integrate(csc(a+2*log(c*x^(1/2*I)))^3,x, algorithm=""giac"")","\frac{2 i \, c^{10 i} e^{\left(5 i \, a\right)}}{c^{8 i} e^{\left(4 i \, a\right)} - 2 \, c^{4 i} x^{2} e^{\left(2 i \, a\right)} + x^{4}} - \frac{4 i \, c^{6 i} x^{2} e^{\left(3 i \, a\right)}}{c^{8 i} e^{\left(4 i \, a\right)} - 2 \, c^{4 i} x^{2} e^{\left(2 i \, a\right)} + x^{4}}"," ",0,"2*I*c^(10*I)*e^(5*I*a)/(c^(8*I)*e^(4*I*a) - 2*c^(4*I)*x^2*e^(2*I*a) + x^4) - 4*I*c^(6*I)*x^2*e^(3*I*a)/(c^(8*I)*e^(4*I*a) - 2*c^(4*I)*x^2*e^(2*I*a) + x^4)","A",0
305,1,83,0,2.606784," ","integrate(csc(a+2*log(c/(x^(1/2*I))))^3,x, algorithm=""giac"")","\frac{4 i \, c^{4 i} x^{2} e^{\left(2 i \, a\right)}}{c^{10 i} x^{4} e^{\left(5 i \, a\right)} - 2 \, c^{6 i} x^{2} e^{\left(3 i \, a\right)} + c^{2 i} e^{\left(i \, a\right)}} - \frac{2 i}{c^{10 i} x^{4} e^{\left(5 i \, a\right)} - 2 \, c^{6 i} x^{2} e^{\left(3 i \, a\right)} + c^{2 i} e^{\left(i \, a\right)}}"," ",0,"4*I*c^(4*I)*x^2*e^(2*I*a)/(c^(10*I)*x^4*e^(5*I*a) - 2*c^(6*I)*x^2*e^(3*I*a) + c^(2*I)*e^(I*a)) - 2*I/(c^(10*I)*x^4*e^(5*I*a) - 2*c^(6*I)*x^2*e^(3*I*a) + c^(2*I)*e^(I*a))","B",0
306,0,0,0,0.000000," ","integrate(csc(a+I*log(c*x^n)/n/(-2+p))^p,x, algorithm=""giac"")","\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=""giac"")","\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
308,0,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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,-1,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
311,-1,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
312,-1,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
313,-1,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
314,0,0,0,0.000000," ","integrate(1/csc(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int \left(e x\right)^{m} \csc\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{3}\,{d x}"," ",0,"integrate((e*x)^m*csc((b*log(c*x^n) + a)*d)^3, x)","F",0
321,0,0,0,0.000000," ","integrate((e*x)^m*csc(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\int \left(e x\right)^{m} \csc\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}\,{d x}"," ",0,"integrate((e*x)^m*csc((b*log(c*x^n) + a)*d)^2, x)","F",0
322,0,0,0,0.000000," ","integrate((e*x)^m*csc(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\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,-1,0,0,0.000000," ","integrate(x^m*csc(a+b*log(c*x^n))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
324,-1,0,0,0.000000," ","integrate(x^m*csc(a+b*log(c*x^n))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
325,0,0,0,0.000000," ","integrate(x^m*csc(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
