1,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sin(e*x+d)^n,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \sin\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sin(e*x + d)^n, x)","F",0
2,1,1311,0,0.280714," ","integrate(F^(c*(b*x+a))*sin(e*x+d)^3,x, algorithm=""giac"")","-\frac{1}{4} \, {\left(\frac{2 \, b c \log\left({\left| F \right|}\right) \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 3 \, x e + 3 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 6 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 6 \, e\right)} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 3 \, x e + 3 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 6 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{3}{4} \, {\left(\frac{2 \, b c \log\left({\left| F \right|}\right) \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{3}{4} \, {\left(\frac{2 \, b c \log\left({\left| F \right|}\right) \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{4} \, {\left(\frac{2 \, b c \log\left({\left| F \right|}\right) \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 3 \, x e - 3 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 6 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 6 \, e\right)} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 3 \, x e - 3 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 6 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + 3 i \, x e + 3 i \, d\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 48 i \, e} - \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - 3 i \, x e - 3 i \, d\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 48 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{6 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 16 i \, e} + \frac{6 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(-\frac{6 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 16 i \, e} - \frac{6 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - 3 i \, x e - 3 i \, d\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 48 i \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + 3 i \, x e + 3 i \, d\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 48 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"-1/4*(2*b*c*log(abs(F))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 3*x*e + 3*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 6*e)^2) - (pi*b*c*sgn(F) - pi*b*c + 6*e)*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 3*x*e + 3*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 6*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 3/4*(2*b*c*log(abs(F))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c + 2*e)*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 3/4*(2*b*c*log(abs(F))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c - 2*e)*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/4*(2*b*c*log(abs(F))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 3*x*e - 3*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 6*e)^2) - (pi*b*c*sgn(F) - pi*b*c - 6*e)*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 3*x*e - 3*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 6*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + 3*I*x*e + 3*I*d)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) + 48*I*e) - 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - 3*I*x*e - 3*I*d)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) - 48*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(6*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) + 16*I*e) + 6*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) - 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(-6*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) - 16*I*e) - 6*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) + 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - 3*I*x*e - 3*I*d)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) - 48*I*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + 3*I*x*e + 3*I*d)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) + 48*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
3,1,933,0,0.237239," ","integrate(F^(c*(b*x+a))*sin(e*x+d)^2,x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 2 \, x e + 2 \, d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 2 \, x e + 2 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} \, {\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 2 \, x e - 2 \, d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 2 \, x e - 2 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + {\left(\frac{2 \, b c \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + 2 i \, x e + 2 i \, d\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 i \, e} - \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - 2 i \, x e - 2 i \, d\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - 2 i \, x e - 2 i \, d\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 i \, e} - \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + 2 i \, x e + 2 i \, d\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"-1/2*(2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 2*x*e + 2*d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 4*e)^2) + (pi*b*c*sgn(F) - pi*b*c + 4*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 2*x*e + 2*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 4*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*(2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 2*x*e - 2*d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 4*e)^2) + (pi*b*c*sgn(F) - pi*b*c - 4*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 2*x*e - 2*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 4*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + (2*b*c*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + 2*I*x*e + 2*I*d)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*I*e) - 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - 2*I*x*e - 2*I*d)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - 2*I*x*e - 2*I*d)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*I*e) - 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + 2*I*x*e + 2*I*d)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F))) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
4,1,652,0,0.211662," ","integrate(F^(c*(b*x+a))*sin(e*x+d),x, algorithm=""giac"")","{\left(\frac{2 \, b c \log\left({\left| F \right|}\right) \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - {\left(\frac{2 \, b c \log\left({\left| F \right|}\right) \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e} - \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"(2*b*c*log(abs(F))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c + 2*e)*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - (2*b*c*log(abs(F))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c - 2*e)*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e) - 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
5,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csc(e*x+d),x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \csc\left(e x + d\right)\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*csc(e*x + d), x)","F",0
6,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csc(e*x+d)^2,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \csc\left(e x + d\right)^{2}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*csc(e*x + d)^2, x)","F",0
7,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csc(e*x+d)^3,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \csc\left(e x + d\right)^{3}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*csc(e*x + d)^3, x)","F",0
8,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csc(e*x+d)^4,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \csc\left(e x + d\right)^{4}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*csc(e*x + d)^4, x)","F",0
9,1,35,0,0.142949," ","integrate(exp(x)*sin(x)^4,x, algorithm=""giac"")","\frac{1}{136} \, {\left(\cos\left(4 \, x\right) + 4 \, \sin\left(4 \, x\right)\right)} e^{x} - \frac{1}{10} \, {\left(\cos\left(2 \, x\right) + 2 \, \sin\left(2 \, x\right)\right)} e^{x} + \frac{3}{8} \, e^{x}"," ",0,"1/136*(cos(4*x) + 4*sin(4*x))*e^x - 1/10*(cos(2*x) + 2*sin(2*x))*e^x + 3/8*e^x","A",0
10,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*cos(e*x+d)^n,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \cos\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*cos(e*x + d)^n, x)","F",0
11,1,1307,0,0.291810," ","integrate(F^(c*(b*x+a))*cos(e*x+d)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 3 \, x e + 3 \, d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 6 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 6 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 3 \, x e + 3 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 6 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{3}{4} \, {\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{3}{4} \, {\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{4} \, {\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 3 \, x e - 3 \, d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 6 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 6 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 3 \, x e - 3 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 6 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + 3 i \, x e + 3 i \, d\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 48 i \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - 3 i \, x e - 3 i \, d\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 48 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{6 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 16 i \, e} + \frac{6 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{6 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 16 i \, e} + \frac{6 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - 3 i \, x e - 3 i \, d\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 48 i \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + 3 i \, x e + 3 i \, d\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 48 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"1/4*(2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 3*x*e + 3*d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 6*e)^2) + (pi*b*c*sgn(F) - pi*b*c + 6*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 3*x*e + 3*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 6*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 3/4*(2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2) + (pi*b*c*sgn(F) - pi*b*c + 2*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 3/4*(2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2) + (pi*b*c*sgn(F) - pi*b*c - 2*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/4*(2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 3*x*e - 3*d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 6*e)^2) + (pi*b*c*sgn(F) - pi*b*c - 6*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 3*x*e - 3*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 6*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + 3*I*x*e + 3*I*d)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) + 48*I*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - 3*I*x*e - 3*I*d)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) - 48*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-6*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) + 16*I*e) + 6*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) - 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-6*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) - 16*I*e) + 6*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) + 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - 3*I*x*e - 3*I*d)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) - 48*I*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + 3*I*x*e + 3*I*d)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) + 48*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
12,1,933,0,0.233535," ","integrate(F^(c*(b*x+a))*cos(e*x+d)^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 2 \, x e + 2 \, d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 2 \, x e + 2 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 2 \, x e - 2 \, d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 2 \, x e - 2 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + {\left(\frac{2 \, b c \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + 2 i \, x e + 2 i \, d\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 i \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - 2 i \, x e - 2 i \, d\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - 2 i \, x e - 2 i \, d\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 i \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + 2 i \, x e + 2 i \, d\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"1/2*(2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 2*x*e + 2*d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 4*e)^2) + (pi*b*c*sgn(F) - pi*b*c + 4*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 2*x*e + 2*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 4*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 2*x*e - 2*d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 4*e)^2) + (pi*b*c*sgn(F) - pi*b*c - 4*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 2*x*e - 2*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 4*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + (2*b*c*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + 2*I*x*e + 2*I*d)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*I*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - 2*I*x*e - 2*I*d)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - 2*I*x*e - 2*I*d)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*I*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + 2*I*x*e + 2*I*d)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F))) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
13,1,649,0,0.264789," ","integrate(F^(c*(b*x+a))*cos(e*x+d),x, algorithm=""giac"")","{\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + {\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"(2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2) + (pi*b*c*sgn(F) - pi*b*c + 2*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + (2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2) + (pi*b*c*sgn(F) - pi*b*c - 2*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
14,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sec(e*x+d),x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \sec\left(e x + d\right)\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sec(e*x + d), x)","F",0
15,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sec(e*x+d)^2,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \sec\left(e x + d\right)^{2}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sec(e*x + d)^2, x)","F",0
16,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sec(e*x+d)^3,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \sec\left(e x + d\right)^{3}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sec(e*x + d)^3, x)","F",0
17,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sec(e*x+d)^4,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \sec\left(e x + d\right)^{4}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sec(e*x + d)^4, x)","F",0
18,1,35,0,0.131490," ","integrate(exp(x)*cos(x)^4,x, algorithm=""giac"")","\frac{1}{136} \, {\left(\cos\left(4 \, x\right) + 4 \, \sin\left(4 \, x\right)\right)} e^{x} + \frac{1}{10} \, {\left(\cos\left(2 \, x\right) + 2 \, \sin\left(2 \, x\right)\right)} e^{x} + \frac{3}{8} \, e^{x}"," ",0,"1/136*(cos(4*x) + 4*sin(4*x))*e^x + 1/10*(cos(2*x) + 2*sin(2*x))*e^x + 3/8*e^x","A",0
19,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tan(e*x+d)^3,x, algorithm=""giac"")","\int e^{\left({\left(b x + a\right)} c\right)} \tan\left(e x + d\right)^{3}\,{d x}"," ",0,"integrate(e^((b*x + a)*c)*tan(e*x + d)^3, x)","F",0
20,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tan(e*x+d)^2,x, algorithm=""giac"")","\int e^{\left({\left(b x + a\right)} c\right)} \tan\left(e x + d\right)^{2}\,{d x}"," ",0,"integrate(e^((b*x + a)*c)*tan(e*x + d)^2, x)","F",0
21,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tan(e*x+d),x, algorithm=""giac"")","\int e^{\left({\left(b x + a\right)} c\right)} \tan\left(e x + d\right)\,{d x}"," ",0,"integrate(e^((b*x + a)*c)*tan(e*x + d), x)","F",0
22,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*cot(e*x+d),x, algorithm=""giac"")","\int \cot\left(e x + d\right) e^{\left({\left(b x + a\right)} c\right)}\,{d x}"," ",0,"integrate(cot(e*x + d)*e^((b*x + a)*c), x)","F",0
23,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*cot(e*x+d)^2,x, algorithm=""giac"")","\int \cot\left(e x + d\right)^{2} e^{\left({\left(b x + a\right)} c\right)}\,{d x}"," ",0,"integrate(cot(e*x + d)^2*e^((b*x + a)*c), x)","F",0
24,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*cot(e*x+d)^3,x, algorithm=""giac"")","\int \cot\left(e x + d\right)^{3} e^{\left({\left(b x + a\right)} c\right)}\,{d x}"," ",0,"integrate(cot(e*x + d)^3*e^((b*x + a)*c), x)","F",0
25,0,0,0,0.000000," ","integrate(F^(b*x+a)*cot(1/2*c+1/4*pi+1/2*d*x),x, algorithm=""giac"")","\int F^{b x + a} \cot\left(\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\,{d x}"," ",0,"integrate(F^(b*x + a)*cot(1/4*pi + 1/2*d*x + 1/2*c), x)","F",0
26,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sec(e*x+d)^n,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \sec\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sec(e*x + d)^n, x)","F",0
27,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csc(e*x+d)^n,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \csc\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*csc(e*x + d)^n, x)","F",0
28,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(f*x)^m*sin(e*x+d),x, algorithm=""giac"")","\int \left(f x\right)^{m} F^{{\left(b x + a\right)} c} \sin\left(e x + d\right)\,{d x}"," ",0,"integrate((f*x)^m*F^((b*x + a)*c)*sin(e*x + d), x)","F",0
29,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(f*x)^m/sin(e*x+d),x, algorithm=""giac"")","\int \frac{\left(f x\right)^{m} F^{{\left(b x + a\right)} c}}{\sin\left(e x + d\right)}\,{d x}"," ",0,"integrate((f*x)^m*F^((b*x + a)*c)/sin(e*x + d), x)","F",0
30,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(f*x)^m/sin(e*x+d)^2,x, algorithm=""giac"")","\int \frac{\left(f x\right)^{m} F^{{\left(b x + a\right)} c}}{\sin\left(e x + d\right)^{2}}\,{d x}"," ",0,"integrate((f*x)^m*F^((b*x + a)*c)/sin(e*x + d)^2, x)","F",0
31,1,6402,0,0.915844," ","integrate(f*F^(c*(b*x+a))*(f*x)^(-2+m)*(e*x*cos(e*x+d)+(-1+m+b*c*x*log(F))*sin(e*x+d)),x, algorithm=""giac"")","\frac{{\left(x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right) - 2 \, \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)\right)} f}{\tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e - 2 \, \pi \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor - \frac{1}{2} \, \pi \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(x\right)\right)^{2} + \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + 1}"," ",0,"(x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x)) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x)) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x)) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)) - 2*log(abs(f)*abs(x)))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d))*f/(tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e - 2*pi*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) - 1/2*pi*sgn(f) - 1/2*pi*sgn(x))^2 + tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 + tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + 1)","B",0
32,1,4802,0,0.638162," ","integrate(f*F^(c*(b*x+a))*(f*x)^m*(e*x*cos(e*x+d)+(1+m+b*c*x*log(F))*sin(e*x+d)),x, algorithm=""giac"")","\frac{{\left(x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right) + x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right) - x {\left| F \right|}^{a c} e^{\left(b c x \log\left({\left| F \right|}\right) + m \log\left({\left| f \right|} {\left| x \right|}\right)\right)} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)\right)} f}{\tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m + \frac{1}{2} \, x e\right)^{2} + \tan\left(\frac{1}{4} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi b c x + \pi m \left \lfloor -\frac{1}{4} \, \mathrm{sgn}\left(f\right) - \frac{1}{4} \, \mathrm{sgn}\left(x\right) + 1 \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(x\right) - \frac{1}{2} \, \pi m - \frac{1}{2} \, x e\right)^{2} + \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c + \frac{1}{2} \, d\right)^{2} + \tan\left(\frac{1}{4} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{4} \, \pi a c - \frac{1}{2} \, d\right)^{2} + 1}"," ",0,"(x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e) + x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d) - x*abs(F)^(a*c)*e^(b*c*x*log(abs(F)) + m*log(abs(f)*abs(x)))*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d))*f/(tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2*tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m + 1/2*x*e)^2 + tan(1/4*pi*b*c*x*sgn(F) - 1/4*pi*b*c*x + pi*m*floor(-1/4*sgn(f) - 1/4*sgn(x) + 1) + 1/4*pi*m*sgn(f) + 1/4*pi*m*sgn(x) - 1/2*pi*m - 1/2*x*e)^2 + tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c + 1/2*d)^2 + tan(1/4*pi*a*c*sgn(F) - 1/4*pi*a*c - 1/2*d)^2 + 1)","B",0
33,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(f*x)^m*(e*x*cos(e*x+d)+(m+b*c*x*log(F))*sin(e*x+d))/x,x, algorithm=""giac"")","\int \frac{{\left(e x \cos\left(e x + d\right) + {\left(b c x \log\left(F\right) + m\right)} \sin\left(e x + d\right)\right)} \left(f x\right)^{m} F^{{\left(b x + a\right)} c}}{x}\,{d x}"," ",0,"integrate((e*x*cos(e*x + d) + (b*c*x*log(F) + m)*sin(e*x + d))*(f*x)^m*F^((b*x + a)*c)/x, x)","F",0
34,1,3933,0,0.381979," ","integrate(F^(c*(b*x+a))*(e*x*cos(e*x+d)+(1+b*c*x*log(F))*sin(e*x+d)),x, algorithm=""giac"")","\frac{1}{2} \, {\left(2 \, {\left(\frac{{\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 2 \, b c e \log\left({\left| F \right|}\right)\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x + 2 \, x e\right)}}{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, \pi b c e \mathrm{sgn}\left(F\right) + 2 \, \pi b c e - 2 \, e^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 2 \, b c e \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, \pi b c e \mathrm{sgn}\left(F\right) + 2 \, \pi b c e - 2 \, e^{2}\right)} {\left(b c x \log\left({\left| F \right|}\right) - 1\right)}}{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, \pi b c e \mathrm{sgn}\left(F\right) + 2 \, \pi b c e - 2 \, e^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 2 \, b c e \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right) - {\left(\frac{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, \pi b c e \mathrm{sgn}\left(F\right) + 2 \, \pi b c e - 2 \, e^{2}\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x + 2 \, x e\right)}}{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, \pi b c e \mathrm{sgn}\left(F\right) + 2 \, \pi b c e - 2 \, e^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 2 \, b c e \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 2 \, b c e \log\left({\left| F \right|}\right)\right)} {\left(b c x \log\left({\left| F \right|}\right) - 1\right)}}{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, \pi b c e \mathrm{sgn}\left(F\right) + 2 \, \pi b c e - 2 \, e^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 2 \, b c e \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} + \frac{1}{2} \, {\left(2 \, {\left(\frac{{\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) - 2 \, b c e \log\left({\left| F \right|}\right)\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x - 2 \, x e\right)}}{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi b c e \mathrm{sgn}\left(F\right) - 2 \, \pi b c e - 2 \, e^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) - 2 \, b c e \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi b c e \mathrm{sgn}\left(F\right) - 2 \, \pi b c e - 2 \, e^{2}\right)} {\left(b c x \log\left({\left| F \right|}\right) - 1\right)}}{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi b c e \mathrm{sgn}\left(F\right) - 2 \, \pi b c e - 2 \, e^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) - 2 \, b c e \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right) - {\left(\frac{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi b c e \mathrm{sgn}\left(F\right) - 2 \, \pi b c e - 2 \, e^{2}\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x - 2 \, x e\right)}}{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi b c e \mathrm{sgn}\left(F\right) - 2 \, \pi b c e - 2 \, e^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) - 2 \, b c e \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) - 2 \, b c e \log\left({\left| F \right|}\right)\right)} {\left(b c x \log\left({\left| F \right|}\right) - 1\right)}}{{\left(\pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} + 2 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi b c e \mathrm{sgn}\left(F\right) - 2 \, \pi b c e - 2 \, e^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} \log\left({\left| F \right|}\right) - 2 \, b c e \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} - \frac{1}{2} i \, {\left(\frac{{\left(2 \, \pi b c x \mathrm{sgn}\left(F\right) - 2 \, \pi b c x - 4 i \, b c x \log\left({\left| F \right|}\right) + 4 \, x e + 4 i\right)} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b c e \mathrm{sgn}\left(F\right) + 8 \, \pi b c e + 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}} + \frac{{\left(2 \, \pi b c x \mathrm{sgn}\left(F\right) - 2 \, \pi b c x + 4 i \, b c x \log\left({\left| F \right|}\right) + 4 \, x e - 4 i\right)} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b c e \mathrm{sgn}\left(F\right) + 8 \, \pi b c e - 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} - \frac{1}{2} i \, {\left(\frac{{\left(2 \, \pi b c x \mathrm{sgn}\left(F\right) - 2 \, \pi b c x - 4 i \, b c x \log\left({\left| F \right|}\right) - 4 \, x e + 4 i\right)} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b c e \mathrm{sgn}\left(F\right) - 8 \, \pi b c e - 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}} + \frac{{\left(2 \, \pi b c x \mathrm{sgn}\left(F\right) - 2 \, \pi b c x + 4 i \, b c x \log\left({\left| F \right|}\right) - 4 \, x e - 4 i\right)} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b c e \mathrm{sgn}\left(F\right) - 8 \, \pi b c e + 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} - \frac{1}{2} \, {\left(\frac{{\left(2 \, \pi b^{2} c^{2} x \log\left(F\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} c^{2} x \log\left(F\right) - 4 i \, b^{2} c^{2} x \log\left(F\right) \log\left({\left| F \right|}\right) + 4 \, b c x e \log\left(F\right) + 2 \, \pi b c \mathrm{sgn}\left(F\right) - 2 \, \pi b c + 4 i \, b c \log\left(F\right) - 4 i \, b c \log\left({\left| F \right|}\right) + 4 \, e\right)} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b c e \mathrm{sgn}\left(F\right) + 8 \, \pi b c e + 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}} - \frac{{\left(2 \, \pi b^{2} c^{2} x \log\left(F\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} c^{2} x \log\left(F\right) + 4 i \, b^{2} c^{2} x \log\left(F\right) \log\left({\left| F \right|}\right) + 4 \, b c x e \log\left(F\right) + 2 \, \pi b c \mathrm{sgn}\left(F\right) - 2 \, \pi b c - 4 i \, b c \log\left(F\right) + 4 i \, b c \log\left({\left| F \right|}\right) + 4 \, e\right)} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b c e \mathrm{sgn}\left(F\right) + 8 \, \pi b c e - 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{{\left(2 i \, \pi b^{2} c^{2} x \log\left(F\right) \mathrm{sgn}\left(F\right) - 2 i \, \pi b^{2} c^{2} x \log\left(F\right) + 4 \, b^{2} c^{2} x \log\left(F\right) \log\left({\left| F \right|}\right) + 4 i \, b c x e \log\left(F\right) + 2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c - 4 \, b c \log\left(F\right) + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e\right)} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b c e \mathrm{sgn}\left(F\right) + 8 \, \pi b c e + 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}} - \frac{{\left(-2 i \, \pi b^{2} c^{2} x \log\left(F\right) \mathrm{sgn}\left(F\right) + 2 i \, \pi b^{2} c^{2} x \log\left(F\right) + 4 \, b^{2} c^{2} x \log\left(F\right) \log\left({\left| F \right|}\right) - 4 i \, b c x e \log\left(F\right) - 2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c - 4 \, b c \log\left(F\right) + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e\right)} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b c e \mathrm{sgn}\left(F\right) + 8 \, \pi b c e - 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{{\left(2 \, \pi b^{2} c^{2} x \log\left(F\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} c^{2} x \log\left(F\right) - 4 i \, b^{2} c^{2} x \log\left(F\right) \log\left({\left| F \right|}\right) - 4 \, b c x e \log\left(F\right) + 2 \, \pi b c \mathrm{sgn}\left(F\right) - 2 \, \pi b c + 4 i \, b c \log\left(F\right) - 4 i \, b c \log\left({\left| F \right|}\right) - 4 \, e\right)} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b c e \mathrm{sgn}\left(F\right) - 8 \, \pi b c e - 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}} - \frac{{\left(2 \, \pi b^{2} c^{2} x \log\left(F\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} c^{2} x \log\left(F\right) + 4 i \, b^{2} c^{2} x \log\left(F\right) \log\left({\left| F \right|}\right) - 4 \, b c x e \log\left(F\right) + 2 \, \pi b c \mathrm{sgn}\left(F\right) - 2 \, \pi b c - 4 i \, b c \log\left(F\right) + 4 i \, b c \log\left({\left| F \right|}\right) - 4 \, e\right)} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b c e \mathrm{sgn}\left(F\right) - 8 \, \pi b c e + 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{{\left(-2 i \, \pi b^{2} c^{2} x \log\left(F\right) \mathrm{sgn}\left(F\right) + 2 i \, \pi b^{2} c^{2} x \log\left(F\right) - 4 \, b^{2} c^{2} x \log\left(F\right) \log\left({\left| F \right|}\right) + 4 i \, b c x e \log\left(F\right) - 2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left(F\right) - 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e\right)} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b c e \mathrm{sgn}\left(F\right) - 8 \, \pi b c e - 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}} - \frac{{\left(2 i \, \pi b^{2} c^{2} x \log\left(F\right) \mathrm{sgn}\left(F\right) - 2 i \, \pi b^{2} c^{2} x \log\left(F\right) - 4 \, b^{2} c^{2} x \log\left(F\right) \log\left({\left| F \right|}\right) - 4 i \, b c x e \log\left(F\right) + 2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left(F\right) - 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e\right)} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{4 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi^{2} b^{2} c^{2} + 8 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 8 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b c e \mathrm{sgn}\left(F\right) - 8 \, \pi b c e + 16 i \, b c e \log\left({\left| F \right|}\right) - 8 \, e^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"1/2*(2*((pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) + 2*b*c*e*log(abs(F)))*(pi*b*c*x*sgn(F) - pi*b*c*x + 2*x*e)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 - 2*pi*b*c*e*sgn(F) + 2*pi*b*c*e - 2*e^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) + 2*b*c*e*log(abs(F)))^2) + (pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 - 2*pi*b*c*e*sgn(F) + 2*pi*b*c*e - 2*e^2)*(b*c*x*log(abs(F)) - 1)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 - 2*pi*b*c*e*sgn(F) + 2*pi*b*c*e - 2*e^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) + 2*b*c*e*log(abs(F)))^2))*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d) - ((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 - 2*pi*b*c*e*sgn(F) + 2*pi*b*c*e - 2*e^2)*(pi*b*c*x*sgn(F) - pi*b*c*x + 2*x*e)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 - 2*pi*b*c*e*sgn(F) + 2*pi*b*c*e - 2*e^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) + 2*b*c*e*log(abs(F)))^2) - 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) + 2*b*c*e*log(abs(F)))*(b*c*x*log(abs(F)) - 1)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 - 2*pi*b*c*e*sgn(F) + 2*pi*b*c*e - 2*e^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) + 2*b*c*e*log(abs(F)))^2))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) + 1/2*(2*((pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) - 2*b*c*e*log(abs(F)))*(pi*b*c*x*sgn(F) - pi*b*c*x - 2*x*e)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 + 2*pi*b*c*e*sgn(F) - 2*pi*b*c*e - 2*e^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) - 2*b*c*e*log(abs(F)))^2) + (pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 + 2*pi*b*c*e*sgn(F) - 2*pi*b*c*e - 2*e^2)*(b*c*x*log(abs(F)) - 1)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 + 2*pi*b*c*e*sgn(F) - 2*pi*b*c*e - 2*e^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) - 2*b*c*e*log(abs(F)))^2))*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d) - ((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 + 2*pi*b*c*e*sgn(F) - 2*pi*b*c*e - 2*e^2)*(pi*b*c*x*sgn(F) - pi*b*c*x - 2*x*e)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 + 2*pi*b*c*e*sgn(F) - 2*pi*b*c*e - 2*e^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) - 2*b*c*e*log(abs(F)))^2) - 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) - 2*b*c*e*log(abs(F)))*(b*c*x*log(abs(F)) - 1)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2 + 2*pi*b*c*e*sgn(F) - 2*pi*b*c*e - 2*e^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)) - 2*b*c*e*log(abs(F)))^2))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - 1/2*I*((2*pi*b*c*x*sgn(F) - 2*pi*b*c*x - 4*I*b*c*x*log(abs(F)) + 4*x*e + 4*I)*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(4*pi^2*b^2*c^2*sgn(F) + 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 - 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 - 8*pi*b*c*e*sgn(F) + 8*pi*b*c*e + 16*I*b*c*e*log(abs(F)) - 8*e^2) + (2*pi*b*c*x*sgn(F) - 2*pi*b*c*x + 4*I*b*c*x*log(abs(F)) + 4*x*e - 4*I)*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(4*pi^2*b^2*c^2*sgn(F) - 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 + 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 - 8*pi*b*c*e*sgn(F) + 8*pi*b*c*e - 16*I*b*c*e*log(abs(F)) - 8*e^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - 1/2*I*((2*pi*b*c*x*sgn(F) - 2*pi*b*c*x - 4*I*b*c*x*log(abs(F)) - 4*x*e + 4*I)*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(4*pi^2*b^2*c^2*sgn(F) + 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 - 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 + 8*pi*b*c*e*sgn(F) - 8*pi*b*c*e - 16*I*b*c*e*log(abs(F)) - 8*e^2) + (2*pi*b*c*x*sgn(F) - 2*pi*b*c*x + 4*I*b*c*x*log(abs(F)) - 4*x*e - 4*I)*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(4*pi^2*b^2*c^2*sgn(F) - 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 + 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 + 8*pi*b*c*e*sgn(F) - 8*pi*b*c*e + 16*I*b*c*e*log(abs(F)) - 8*e^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - 1/2*((2*pi*b^2*c^2*x*log(F)*sgn(F) - 2*pi*b^2*c^2*x*log(F) - 4*I*b^2*c^2*x*log(F)*log(abs(F)) + 4*b*c*x*e*log(F) + 2*pi*b*c*sgn(F) - 2*pi*b*c + 4*I*b*c*log(F) - 4*I*b*c*log(abs(F)) + 4*e)*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(4*pi^2*b^2*c^2*sgn(F) + 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 - 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 - 8*pi*b*c*e*sgn(F) + 8*pi*b*c*e + 16*I*b*c*e*log(abs(F)) - 8*e^2) - (2*pi*b^2*c^2*x*log(F)*sgn(F) - 2*pi*b^2*c^2*x*log(F) + 4*I*b^2*c^2*x*log(F)*log(abs(F)) + 4*b*c*x*e*log(F) + 2*pi*b*c*sgn(F) - 2*pi*b*c - 4*I*b*c*log(F) + 4*I*b*c*log(abs(F)) + 4*e)*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(4*pi^2*b^2*c^2*sgn(F) - 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 + 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 - 8*pi*b*c*e*sgn(F) + 8*pi*b*c*e - 16*I*b*c*e*log(abs(F)) - 8*e^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*((2*I*pi*b^2*c^2*x*log(F)*sgn(F) - 2*I*pi*b^2*c^2*x*log(F) + 4*b^2*c^2*x*log(F)*log(abs(F)) + 4*I*b*c*x*e*log(F) + 2*I*pi*b*c*sgn(F) - 2*I*pi*b*c - 4*b*c*log(F) + 4*b*c*log(abs(F)) + 4*I*e)*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(4*pi^2*b^2*c^2*sgn(F) + 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 - 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 - 8*pi*b*c*e*sgn(F) + 8*pi*b*c*e + 16*I*b*c*e*log(abs(F)) - 8*e^2) - (-2*I*pi*b^2*c^2*x*log(F)*sgn(F) + 2*I*pi*b^2*c^2*x*log(F) + 4*b^2*c^2*x*log(F)*log(abs(F)) - 4*I*b*c*x*e*log(F) - 2*I*pi*b*c*sgn(F) + 2*I*pi*b*c - 4*b*c*log(F) + 4*b*c*log(abs(F)) - 4*I*e)*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(4*pi^2*b^2*c^2*sgn(F) - 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 + 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 - 8*pi*b*c*e*sgn(F) + 8*pi*b*c*e - 16*I*b*c*e*log(abs(F)) - 8*e^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*((2*pi*b^2*c^2*x*log(F)*sgn(F) - 2*pi*b^2*c^2*x*log(F) - 4*I*b^2*c^2*x*log(F)*log(abs(F)) - 4*b*c*x*e*log(F) + 2*pi*b*c*sgn(F) - 2*pi*b*c + 4*I*b*c*log(F) - 4*I*b*c*log(abs(F)) - 4*e)*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(4*pi^2*b^2*c^2*sgn(F) + 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 - 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 + 8*pi*b*c*e*sgn(F) - 8*pi*b*c*e - 16*I*b*c*e*log(abs(F)) - 8*e^2) - (2*pi*b^2*c^2*x*log(F)*sgn(F) - 2*pi*b^2*c^2*x*log(F) + 4*I*b^2*c^2*x*log(F)*log(abs(F)) - 4*b*c*x*e*log(F) + 2*pi*b*c*sgn(F) - 2*pi*b*c - 4*I*b*c*log(F) + 4*I*b*c*log(abs(F)) - 4*e)*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(4*pi^2*b^2*c^2*sgn(F) - 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 + 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 + 8*pi*b*c*e*sgn(F) - 8*pi*b*c*e + 16*I*b*c*e*log(abs(F)) - 8*e^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*((-2*I*pi*b^2*c^2*x*log(F)*sgn(F) + 2*I*pi*b^2*c^2*x*log(F) - 4*b^2*c^2*x*log(F)*log(abs(F)) + 4*I*b*c*x*e*log(F) - 2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(F) - 4*b*c*log(abs(F)) + 4*I*e)*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(4*pi^2*b^2*c^2*sgn(F) + 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 - 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 + 8*pi*b*c*e*sgn(F) - 8*pi*b*c*e - 16*I*b*c*e*log(abs(F)) - 8*e^2) - (2*I*pi*b^2*c^2*x*log(F)*sgn(F) - 2*I*pi*b^2*c^2*x*log(F) - 4*b^2*c^2*x*log(F)*log(abs(F)) - 4*I*b*c*x*e*log(F) + 2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(F) - 4*b*c*log(abs(F)) - 4*I*e)*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(4*pi^2*b^2*c^2*sgn(F) - 8*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 4*pi^2*b^2*c^2 + 8*I*pi*b^2*c^2*log(abs(F)) + 8*b^2*c^2*log(abs(F))^2 + 8*pi*b*c*e*sgn(F) - 8*pi*b*c*e + 16*I*b*c*e*log(abs(F)) - 8*e^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
35,1,1267,0,0.336523," ","integrate(F^(c*(b*x+a))*(e*cos(e*x+d)+b*c*log(F)*sin(e*x+d)),x, algorithm=""giac"")","{\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} + {\left(\frac{2 \, b c \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} - i \, {\left(\frac{b c e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)} \log\left(F\right)}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e} - \frac{b c e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)} \log\left(F\right)}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{2 i \, b c e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)} \log\left(F\right)}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e} + \frac{2 i \, b c e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)} \log\left(F\right)}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + i \, {\left(\frac{b c e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)} \log\left(F\right)}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e} - \frac{b c e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)} \log\left(F\right)}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(-\frac{2 i \, b c e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)} \log\left(F\right)}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e} - \frac{2 i \, b c e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)} \log\left(F\right)}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"(2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2) + (pi*b*c*sgn(F) - pi*b*c + 2*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) + (2*b*c*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2) + (pi*b*c*sgn(F) - pi*b*c - 2*e)*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - I*(b*c*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)*log(F)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e) - b*c*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)*log(F)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(2*I*b*c*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)*log(F)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e) + 2*I*b*c*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)*log(F)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + I*(b*c*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)*log(F)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e) - b*c*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)*log(F)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(-2*I*b*c*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)*log(F)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e) - 2*I*b*c*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)*log(F)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
36,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(e*x*cos(e*x+d)+(-1+b*c*x*log(F))*sin(e*x+d))/x^2,x, algorithm=""giac"")","\int \frac{{\left(e x \cos\left(e x + d\right) + {\left(b c x \log\left(F\right) - 1\right)} \sin\left(e x + d\right)\right)} F^{{\left(b x + a\right)} c}}{x^{2}}\,{d x}"," ",0,"integrate((e*x*cos(e*x + d) + (b*c*x*log(F) - 1)*sin(e*x + d))*F^((b*x + a)*c)/x^2, x)","F",0
37,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(e*x*cos(e*x+d)+(-2+b*c*x*log(F))*sin(e*x+d))/x^3,x, algorithm=""giac"")","\int \frac{{\left(e x \cos\left(e x + d\right) + {\left(b c x \log\left(F\right) - 2\right)} \sin\left(e x + d\right)\right)} F^{{\left(b x + a\right)} c}}{x^{3}}\,{d x}"," ",0,"integrate((e*x*cos(e*x + d) + (b*c*x*log(F) - 2)*sin(e*x + d))*F^((b*x + a)*c)/x^3, x)","F",0
38,1,55,0,0.130143," ","integrate(exp(b*x+a)*cos(d*x+c)*sin(d*x+c),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\frac{2 \, d \cos\left(2 \, d x + 2 \, c\right)}{b^{2} + 4 \, d^{2}} - \frac{b \sin\left(2 \, d x + 2 \, c\right)}{b^{2} + 4 \, d^{2}}\right)} e^{\left(b x + a\right)}"," ",0,"-1/2*(2*d*cos(2*d*x + 2*c)/(b^2 + 4*d^2) - b*sin(2*d*x + 2*c)/(b^2 + 4*d^2))*e^(b*x + a)","A",0
39,1,98,0,0.124633," ","integrate(exp(b*x+a)*cos(d*x+c)*sin(d*x+c)^2,x, algorithm=""giac"")","-\frac{1}{4} \, {\left(\frac{b \cos\left(3 \, d x + 3 \, c\right)}{b^{2} + 9 \, d^{2}} + \frac{3 \, d \sin\left(3 \, d x + 3 \, c\right)}{b^{2} + 9 \, d^{2}}\right)} e^{\left(b x + a\right)} + \frac{1}{4} \, {\left(\frac{b \cos\left(d x + c\right)}{b^{2} + d^{2}} + \frac{d \sin\left(d x + c\right)}{b^{2} + d^{2}}\right)} e^{\left(b x + a\right)}"," ",0,"-1/4*(b*cos(3*d*x + 3*c)/(b^2 + 9*d^2) + 3*d*sin(3*d*x + 3*c)/(b^2 + 9*d^2))*e^(b*x + a) + 1/4*(b*cos(d*x + c)/(b^2 + d^2) + d*sin(d*x + c)/(b^2 + d^2))*e^(b*x + a)","A",0
40,1,111,0,0.144142," ","integrate(exp(b*x+a)*cos(d*x+c)*sin(d*x+c)^3,x, algorithm=""giac"")","\frac{1}{8} \, {\left(\frac{4 \, d \cos\left(4 \, d x + 4 \, c\right)}{b^{2} + 16 \, d^{2}} - \frac{b \sin\left(4 \, d x + 4 \, c\right)}{b^{2} + 16 \, d^{2}}\right)} e^{\left(b x + a\right)} - \frac{1}{4} \, {\left(\frac{2 \, d \cos\left(2 \, d x + 2 \, c\right)}{b^{2} + 4 \, d^{2}} - \frac{b \sin\left(2 \, d x + 2 \, c\right)}{b^{2} + 4 \, d^{2}}\right)} e^{\left(b x + a\right)}"," ",0,"1/8*(4*d*cos(4*d*x + 4*c)/(b^2 + 16*d^2) - b*sin(4*d*x + 4*c)/(b^2 + 16*d^2))*e^(b*x + a) - 1/4*(2*d*cos(2*d*x + 2*c)/(b^2 + 4*d^2) - b*sin(2*d*x + 2*c)/(b^2 + 4*d^2))*e^(b*x + a)","A",0
41,1,100,0,0.144232," ","integrate(exp(b*x+a)*cos(d*x+c)^2*sin(d*x+c),x, algorithm=""giac"")","-\frac{1}{4} \, {\left(\frac{3 \, d \cos\left(3 \, d x + 3 \, c\right)}{b^{2} + 9 \, d^{2}} - \frac{b \sin\left(3 \, d x + 3 \, c\right)}{b^{2} + 9 \, d^{2}}\right)} e^{\left(b x + a\right)} - \frac{1}{4} \, {\left(\frac{d \cos\left(d x + c\right)}{b^{2} + d^{2}} - \frac{b \sin\left(d x + c\right)}{b^{2} + d^{2}}\right)} e^{\left(b x + a\right)}"," ",0,"-1/4*(3*d*cos(3*d*x + 3*c)/(b^2 + 9*d^2) - b*sin(3*d*x + 3*c)/(b^2 + 9*d^2))*e^(b*x + a) - 1/4*(d*cos(d*x + c)/(b^2 + d^2) - b*sin(d*x + c)/(b^2 + d^2))*e^(b*x + a)","A",0
42,1,66,0,0.154468," ","integrate(exp(b*x+a)*cos(d*x+c)^2*sin(d*x+c)^2,x, algorithm=""giac"")","-\frac{1}{8} \, {\left(\frac{b \cos\left(4 \, d x + 4 \, c\right)}{b^{2} + 16 \, d^{2}} + \frac{4 \, d \sin\left(4 \, d x + 4 \, c\right)}{b^{2} + 16 \, d^{2}}\right)} e^{\left(b x + a\right)} + \frac{e^{\left(b x + a\right)}}{8 \, b}"," ",0,"-1/8*(b*cos(4*d*x + 4*c)/(b^2 + 16*d^2) + 4*d*sin(4*d*x + 4*c)/(b^2 + 16*d^2))*e^(b*x + a) + 1/8*e^(b*x + a)/b","A",0
43,1,155,0,0.154865," ","integrate(exp(b*x+a)*cos(d*x+c)^2*sin(d*x+c)^3,x, algorithm=""giac"")","\frac{1}{16} \, {\left(\frac{5 \, d \cos\left(5 \, d x + 5 \, c\right)}{b^{2} + 25 \, d^{2}} - \frac{b \sin\left(5 \, d x + 5 \, c\right)}{b^{2} + 25 \, d^{2}}\right)} e^{\left(b x + a\right)} - \frac{1}{16} \, {\left(\frac{3 \, d \cos\left(3 \, d x + 3 \, c\right)}{b^{2} + 9 \, d^{2}} - \frac{b \sin\left(3 \, d x + 3 \, c\right)}{b^{2} + 9 \, d^{2}}\right)} e^{\left(b x + a\right)} - \frac{1}{8} \, {\left(\frac{d \cos\left(d x + c\right)}{b^{2} + d^{2}} - \frac{b \sin\left(d x + c\right)}{b^{2} + d^{2}}\right)} e^{\left(b x + a\right)}"," ",0,"1/16*(5*d*cos(5*d*x + 5*c)/(b^2 + 25*d^2) - b*sin(5*d*x + 5*c)/(b^2 + 25*d^2))*e^(b*x + a) - 1/16*(3*d*cos(3*d*x + 3*c)/(b^2 + 9*d^2) - b*sin(3*d*x + 3*c)/(b^2 + 9*d^2))*e^(b*x + a) - 1/8*(d*cos(d*x + c)/(b^2 + d^2) - b*sin(d*x + c)/(b^2 + d^2))*e^(b*x + a)","A",0
44,1,111,0,0.134100," ","integrate(exp(b*x+a)*cos(d*x+c)^3*sin(d*x+c),x, algorithm=""giac"")","-\frac{1}{8} \, {\left(\frac{4 \, d \cos\left(4 \, d x + 4 \, c\right)}{b^{2} + 16 \, d^{2}} - \frac{b \sin\left(4 \, d x + 4 \, c\right)}{b^{2} + 16 \, d^{2}}\right)} e^{\left(b x + a\right)} - \frac{1}{4} \, {\left(\frac{2 \, d \cos\left(2 \, d x + 2 \, c\right)}{b^{2} + 4 \, d^{2}} - \frac{b \sin\left(2 \, d x + 2 \, c\right)}{b^{2} + 4 \, d^{2}}\right)} e^{\left(b x + a\right)}"," ",0,"-1/8*(4*d*cos(4*d*x + 4*c)/(b^2 + 16*d^2) - b*sin(4*d*x + 4*c)/(b^2 + 16*d^2))*e^(b*x + a) - 1/4*(2*d*cos(2*d*x + 2*c)/(b^2 + 4*d^2) - b*sin(2*d*x + 2*c)/(b^2 + 4*d^2))*e^(b*x + a)","A",0
45,1,152,0,0.157732," ","integrate(exp(b*x+a)*cos(d*x+c)^3*sin(d*x+c)^2,x, algorithm=""giac"")","-\frac{1}{16} \, {\left(\frac{b \cos\left(5 \, d x + 5 \, c\right)}{b^{2} + 25 \, d^{2}} + \frac{5 \, d \sin\left(5 \, d x + 5 \, c\right)}{b^{2} + 25 \, d^{2}}\right)} e^{\left(b x + a\right)} - \frac{1}{16} \, {\left(\frac{b \cos\left(3 \, d x + 3 \, c\right)}{b^{2} + 9 \, d^{2}} + \frac{3 \, d \sin\left(3 \, d x + 3 \, c\right)}{b^{2} + 9 \, d^{2}}\right)} e^{\left(b x + a\right)} + \frac{1}{8} \, {\left(\frac{b \cos\left(d x + c\right)}{b^{2} + d^{2}} + \frac{d \sin\left(d x + c\right)}{b^{2} + d^{2}}\right)} e^{\left(b x + a\right)}"," ",0,"-1/16*(b*cos(5*d*x + 5*c)/(b^2 + 25*d^2) + 5*d*sin(5*d*x + 5*c)/(b^2 + 25*d^2))*e^(b*x + a) - 1/16*(b*cos(3*d*x + 3*c)/(b^2 + 9*d^2) + 3*d*sin(3*d*x + 3*c)/(b^2 + 9*d^2))*e^(b*x + a) + 1/8*(b*cos(d*x + c)/(b^2 + d^2) + d*sin(d*x + c)/(b^2 + d^2))*e^(b*x + a)","A",0
46,1,111,0,0.161471," ","integrate(exp(b*x+a)*cos(d*x+c)^3*sin(d*x+c)^3,x, algorithm=""giac"")","\frac{1}{32} \, {\left(\frac{6 \, d \cos\left(6 \, d x + 6 \, c\right)}{b^{2} + 36 \, d^{2}} - \frac{b \sin\left(6 \, d x + 6 \, c\right)}{b^{2} + 36 \, d^{2}}\right)} e^{\left(b x + a\right)} - \frac{3}{32} \, {\left(\frac{2 \, d \cos\left(2 \, d x + 2 \, c\right)}{b^{2} + 4 \, d^{2}} - \frac{b \sin\left(2 \, d x + 2 \, c\right)}{b^{2} + 4 \, d^{2}}\right)} e^{\left(b x + a\right)}"," ",0,"1/32*(6*d*cos(6*d*x + 6*c)/(b^2 + 36*d^2) - b*sin(6*d*x + 6*c)/(b^2 + 36*d^2))*e^(b*x + a) - 3/32*(2*d*cos(2*d*x + 2*c)/(b^2 + 4*d^2) - b*sin(2*d*x + 2*c)/(b^2 + 4*d^2))*e^(b*x + a)","A",0
47,1,16,0,0.133888," ","integrate(exp(x)*x*sin(x),x, algorithm=""giac"")","-\frac{1}{2} \, {\left({\left(x - 1\right)} \cos\left(x\right) - x \sin\left(x\right)\right)} e^{x}"," ",0,"-1/2*((x - 1)*cos(x) - x*sin(x))*e^x","A",0
48,1,25,0,0.117912," ","integrate(exp(x)*x^2*sin(x),x, algorithm=""giac"")","-\frac{1}{2} \, {\left({\left(x^{2} - 2 \, x + 1\right)} \cos\left(x\right) - {\left(x^{2} - 1\right)} \sin\left(x\right)\right)} e^{x}"," ",0,"-1/2*((x^2 - 2*x + 1)*cos(x) - (x^2 - 1)*sin(x))*e^x","A",0
49,1,15,0,0.134853," ","integrate(exp(x)*x*cos(x),x, algorithm=""giac"")","\frac{1}{2} \, {\left(x \cos\left(x\right) + {\left(x - 1\right)} \sin\left(x\right)\right)} e^{x}"," ",0,"1/2*(x*cos(x) + (x - 1)*sin(x))*e^x","A",0
50,1,24,0,0.134936," ","integrate(exp(x)*x^2*cos(x),x, algorithm=""giac"")","\frac{1}{2} \, {\left({\left(x^{2} - 1\right)} \cos\left(x\right) + {\left(x^{2} - 2 \, x + 1\right)} \sin\left(x\right)\right)} e^{x}"," ",0,"1/2*((x^2 - 1)*cos(x) + (x^2 - 2*x + 1)*sin(x))*e^x","A",0
51,1,39,0,0.142507," ","integrate(exp(3*x)*(-5*cos(4*x)+2*sin(4*x)),x, algorithm=""giac"")","-\frac{2}{25} \, {\left(4 \, \cos\left(4 \, x\right) - 3 \, \sin\left(4 \, x\right)\right)} e^{\left(3 \, x\right)} - \frac{1}{5} \, {\left(3 \, \cos\left(4 \, x\right) + 4 \, \sin\left(4 \, x\right)\right)} e^{\left(3 \, x\right)}"," ",0,"-2/25*(4*cos(4*x) - 3*sin(4*x))*e^(3*x) - 1/5*(3*cos(4*x) + 4*sin(4*x))*e^(3*x)","A",0
52,1,23,0,0.123610," ","integrate(sin(x)/exp(x)+exp(x)*sin(x),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\cos\left(x\right) + \sin\left(x\right)\right)} e^{\left(-x\right)} - \frac{1}{2} \, {\left(\cos\left(x\right) - \sin\left(x\right)\right)} e^{x}"," ",0,"-1/2*(cos(x) + sin(x))*e^(-x) - 1/2*(cos(x) - sin(x))*e^x","A",0
53,0,0,0,0.000000," ","integrate(F^(b*x+a)*cos(d*x+c)/(e+e*sin(d*x+c)),x, algorithm=""giac"")","\int \frac{F^{b x + a} \cos\left(d x + c\right)}{e \sin\left(d x + c\right) + e}\,{d x}"," ",0,"integrate(F^(b*x + a)*cos(d*x + c)/(e*sin(d*x + c) + e), x)","F",0
54,0,0,0,0.000000," ","integrate(F^(b*x+a)*cos(d*x+c)/(e-e*sin(d*x+c)),x, algorithm=""giac"")","\int -\frac{F^{b x + a} \cos\left(d x + c\right)}{e \sin\left(d x + c\right) - e}\,{d x}"," ",0,"integrate(-F^(b*x + a)*cos(d*x + c)/(e*sin(d*x + c) - e), x)","F",0
55,0,0,0,0.000000," ","integrate(F^(b*x+a)*sin(d*x+c)/(e+e*cos(d*x+c)),x, algorithm=""giac"")","\int \frac{F^{b x + a} \sin\left(d x + c\right)}{e \cos\left(d x + c\right) + e}\,{d x}"," ",0,"integrate(F^(b*x + a)*sin(d*x + c)/(e*cos(d*x + c) + e), x)","F",0
56,0,0,0,0.000000," ","integrate(F^(b*x+a)*sin(d*x+c)/(e-e*cos(d*x+c)),x, algorithm=""giac"")","\int -\frac{F^{b x + a} \sin\left(d x + c\right)}{e \cos\left(d x + c\right) - e}\,{d x}"," ",0,"integrate(-F^(b*x + a)*sin(d*x + c)/(e*cos(d*x + c) - e), x)","F",0
57,0,0,0,0.000000," ","integrate(exp(x^2)*sin(b*x),x, algorithm=""giac"")","\int e^{\left(x^{2}\right)} \sin\left(b x\right)\,{d x}"," ",0,"integrate(e^(x^2)*sin(b*x), x)","F",0
58,0,0,0,0.000000," ","integrate(exp(x^2)*cos(b*x),x, algorithm=""giac"")","\int \cos\left(b x\right) e^{\left(x^{2}\right)}\,{d x}"," ",0,"integrate(cos(b*x)*e^(x^2), x)","F",0
59,0,0,0,0.000000," ","integrate(exp(x^2)*sin(b*x+a),x, algorithm=""giac"")","\int e^{\left(x^{2}\right)} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(e^(x^2)*sin(b*x + a), x)","F",0
60,0,0,0,0.000000," ","integrate(exp(x^2)*cos(b*x+a),x, algorithm=""giac"")","\int \cos\left(b x + a\right) e^{\left(x^{2}\right)}\,{d x}"," ",0,"integrate(cos(b*x + a)*e^(x^2), x)","F",0
61,1,21,0,0.138517," ","integrate(exp(2*x^2)*x*cos(2*x^2),x, algorithm=""giac"")","\frac{1}{8} \, {\left(\cos\left(2 \, x^{2}\right) + \sin\left(2 \, x^{2}\right)\right)} e^{\left(2 \, x^{2}\right)}"," ",0,"1/8*(cos(2*x^2) + sin(2*x^2))*e^(2*x^2)","A",0
62,1,5,0,0.135819," ","integrate(exp(x)*sin(exp(x)),x, algorithm=""giac"")","-\cos\left(e^{x}\right)"," ",0,"-cos(e^x)","A",0
63,1,17,0,0.138145," ","integrate(exp(x)*csc(exp(x))*sec(exp(x)),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left({\left| \sin\left(e^{x}\right)^{2} - 1 \right|}\right) + \log\left({\left| \sin\left(e^{x}\right) \right|}\right)"," ",0,"-1/2*log(abs(sin(e^x)^2 - 1)) + log(abs(sin(e^x)))","B",0
64,1,3,0,0.123714," ","integrate(exp(x)*cos(exp(x)),x, algorithm=""giac"")","\sin\left(e^{x}\right)"," ",0,"sin(e^x)","A",0
65,1,7,0,0.136468," ","integrate(exp(2*x)*cos(exp(2*x)),x, algorithm=""giac"")","\frac{1}{2} \, \sin\left(e^{\left(2 \, x\right)}\right)"," ",0,"1/2*sin(e^(2*x))","A",0
66,1,7,0,0.120680," ","integrate(cos(exp(-2*x))/exp(2*x),x, algorithm=""giac"")","-\frac{1}{2} \, \sin\left(e^{\left(-2 \, x\right)}\right)"," ",0,"-1/2*sin(e^(-2*x))","A",0
67,1,10,0,0.116436," ","integrate(exp(2*x)*cos(exp(x)),x, algorithm=""giac"")","e^{x} \sin\left(e^{x}\right) + \cos\left(e^{x}\right)"," ",0,"e^x*sin(e^x) + cos(e^x)","A",0
68,1,24,0,0.126282," ","integrate(exp(-1+3*x)*cos(exp(-1+3*x))*sin(1+exp(-1+3*x)),x, algorithm=""giac"")","\frac{1}{6} \, e^{\left(3 \, x - 1\right)} \sin\left(1\right) - \frac{1}{12} \, \cos\left(2 \, e^{\left(3 \, x - 1\right)} + 1\right)"," ",0,"1/6*e^(3*x - 1)*sin(1) - 1/12*cos(2*e^(3*x - 1) + 1)","A",0
69,1,7,0,0.122397," ","integrate(exp(x)*tan(exp(x)),x, algorithm=""giac"")","-\log\left({\left| \cos\left(e^{x}\right) \right|}\right)"," ",0,"-log(abs(cos(e^x)))","A",0
70,1,29,0,0.122967," ","integrate(exp(x)*sec(exp(x)),x, algorithm=""giac"")","\frac{1}{4} \, \log\left({\left| \frac{1}{\sin\left(e^{x}\right)} + \sin\left(e^{x}\right) + 2 \right|}\right) - \frac{1}{4} \, \log\left({\left| \frac{1}{\sin\left(e^{x}\right)} + \sin\left(e^{x}\right) - 2 \right|}\right)"," ",0,"1/4*log(abs(1/sin(e^x) + sin(e^x) + 2)) - 1/4*log(abs(1/sin(e^x) + sin(e^x) - 2))","B",0
71,1,5,0,0.126684," ","integrate(exp(x)*sec(exp(x))*tan(exp(x)),x, algorithm=""giac"")","\frac{1}{\cos\left(e^{x}\right)}"," ",0,"1/cos(e^x)","A",0
72,1,7,0,0.122317," ","integrate(exp(x)*csc(exp(x))^2,x, algorithm=""giac"")","-\frac{1}{\tan\left(e^{x}\right)}"," ",0,"-1/tan(e^x)","A",0
73,1,35,0,0.119807," ","integrate(exp(x)*sin(b*x+a),x, algorithm=""giac"")","-{\left(\frac{b \cos\left(b x + a\right)}{b^{2} + 1} - \frac{\sin\left(b x + a\right)}{b^{2} + 1}\right)} e^{x}"," ",0,"-(b*cos(b*x + a)/(b^2 + 1) - sin(b*x + a)/(b^2 + 1))*e^x","A",0
74,1,127,0,0.164405," ","integrate(exp(x)*sin(c*x^2+a),x, algorithm=""giac"")","-\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} {\left(2 \, x + \frac{i}{c}\right)} {\left(\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}\right) e^{\left(-\frac{4 i \, a c + i}{4 \, c}\right)}}{4 \, {\left(\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}} + \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} {\left(2 \, x - \frac{i}{c}\right)} {\left(-\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}\right) e^{\left(-\frac{-4 i \, a c - i}{4 \, c}\right)}}{4 \, {\left(-\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}}"," ",0,"-1/4*I*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*(2*x + I/c)*(I*c/abs(c) + 1)*sqrt(abs(c)))*e^(-1/4*(4*I*a*c + I)/c)/((I*c/abs(c) + 1)*sqrt(abs(c))) + 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*(2*x - I/c)*(-I*c/abs(c) + 1)*sqrt(abs(c)))*e^(-1/4*(-4*I*a*c - I)/c)/((-I*c/abs(c) + 1)*sqrt(abs(c)))","A",0
75,1,147,0,0.157283," ","integrate(exp(x)*sin(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} {\left(2 \, x + \frac{b - i}{c}\right)} {\left(-\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}\right) e^{\left(-\frac{i \, b^{2} - 4 i \, a c + 2 \, b - i}{4 \, c}\right)}}{4 \, {\left(-\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}} - \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} {\left(2 \, x + \frac{b + i}{c}\right)} {\left(\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}\right) e^{\left(-\frac{-i \, b^{2} + 4 i \, a c + 2 \, b + i}{4 \, c}\right)}}{4 \, {\left(\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}}"," ",0,"1/4*I*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*(2*x + (b - I)/c)*(-I*c/abs(c) + 1)*sqrt(abs(c)))*e^(-1/4*(I*b^2 - 4*I*a*c + 2*b - I)/c)/((-I*c/abs(c) + 1)*sqrt(abs(c))) - 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*(2*x + (b + I)/c)*(I*c/abs(c) + 1)*sqrt(abs(c)))*e^(-1/4*(-I*b^2 + 4*I*a*c + 2*b + I)/c)/((I*c/abs(c) + 1)*sqrt(abs(c)))","A",0
76,0,0,0,0.000000," ","integrate(exp(x^2)*sin(b*x+a),x, algorithm=""giac"")","\int e^{\left(x^{2}\right)} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(e^(x^2)*sin(b*x + a), x)","F",0
77,0,0,0,0.000000," ","integrate(exp(x^2)*sin(c*x^2+a),x, algorithm=""giac"")","\int e^{\left(x^{2}\right)} \sin\left(c x^{2} + a\right)\,{d x}"," ",0,"integrate(e^(x^2)*sin(c*x^2 + a), x)","F",0
78,0,0,0,0.000000," ","integrate(exp(x^2)*sin(c*x^2+b*x+a),x, algorithm=""giac"")","\int e^{\left(x^{2}\right)} \sin\left(c x^{2} + b x + a\right)\,{d x}"," ",0,"integrate(e^(x^2)*sin(c*x^2 + b*x + a), x)","F",0
79,1,300,0,0.269097," ","integrate(f^(b*x+a)*sin(f*x^2+d),x, algorithm=""giac"")","\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} - \frac{i \, \pi^{2} b^{2}}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) + i \, d\right)}}{4 \, {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}} - \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{i \, \pi^{2} b^{2}}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) - i \, d\right)}}{4 \, {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}}"," ",0,"1/4*I*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(-I*f/abs(f) + 1)*sqrt(abs(f)))*e^(1/8*I*pi^2*b^2*sgn(f)/f + 1/4*pi*b^2*log(abs(f))*sgn(f)/f - 1/8*I*pi^2*b^2/f - 1/4*pi*b^2*log(abs(f))/f + 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) + I*d)/((-I*f/abs(f) + 1)*sqrt(abs(f))) - 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(I*f/abs(f) + 1)*sqrt(abs(f)))*e^(-1/8*I*pi^2*b^2*sgn(f)/f - 1/4*pi*b^2*log(abs(f))*sgn(f)/f + 1/8*I*pi^2*b^2/f + 1/4*pi*b^2*log(abs(f))/f - 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) - I*d)/((I*f/abs(f) + 1)*sqrt(abs(f)))","B",0
80,1,521,0,0.279178," ","integrate(f^(b*x+a)*sin(f*x^2+d)^2,x, algorithm=""giac"")","{\left(\frac{2 \, b \cos\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right) \log\left({\left| f \right|}\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}} - \frac{{\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)} \sin\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi b x + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi a\right)}}{2 i \, \pi b \mathrm{sgn}\left(f\right) - 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi b x - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a\right)}}{-2 i \, \pi b \mathrm{sgn}\left(f\right) + 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{f} {\left(8 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{16 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{i \, \pi^{2} b^{2}}{16 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{8 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{8 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) + 2 i \, d\right)}}{8 \, \sqrt{f} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{f} {\left(8 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{16 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{i \, \pi^{2} b^{2}}{16 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{8 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{8 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) - 2 i \, d\right)}}{8 \, \sqrt{f} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}}"," ",0,"(2*b*cos(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)*log(abs(f))/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2) - (pi*b*sgn(f) - pi*b)*sin(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2))*e^(b*x*log(abs(f)) + a*log(abs(f))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*x*sgn(f) - 1/2*I*pi*b*x + 1/2*I*pi*a*sgn(f) - 1/2*I*pi*a)/(2*I*pi*b*sgn(f) - 2*I*pi*b + 4*b*log(abs(f))) + 2*I*e^(-1/2*I*pi*b*x*sgn(f) + 1/2*I*pi*b*x - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a)/(-2*I*pi*b*sgn(f) + 2*I*pi*b + 4*b*log(abs(f))))*e^(b*x*log(abs(f)) + a*log(abs(f))) + 1/8*sqrt(pi)*erf(-1/8*sqrt(f)*(8*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(-I*f/abs(f) + 1))*e^(1/16*I*pi^2*b^2*sgn(f)/f + 1/8*pi*b^2*log(abs(f))*sgn(f)/f - 1/16*I*pi^2*b^2/f - 1/8*pi*b^2*log(abs(f))/f + 1/8*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) + 2*I*d)/(sqrt(f)*(-I*f/abs(f) + 1)) + 1/8*sqrt(pi)*erf(-1/8*sqrt(f)*(8*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(I*f/abs(f) + 1))*e^(-1/16*I*pi^2*b^2*sgn(f)/f - 1/8*pi*b^2*log(abs(f))*sgn(f)/f + 1/16*I*pi^2*b^2/f + 1/8*pi*b^2*log(abs(f))/f - 1/8*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) - 2*I*d)/(sqrt(f)*(I*f/abs(f) + 1))","B",0
81,1,595,0,0.403898," ","integrate(f^(b*x+a)*sin(f*x^2+d)^3,x, algorithm=""giac"")","\frac{3 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} - \frac{i \, \pi^{2} b^{2}}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) + i \, d\right)}}{16 \, {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}} - \frac{i \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{24} \, \sqrt{6} \sqrt{f} {\left(12 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{24 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{12 \, f} - \frac{i \, \pi^{2} b^{2}}{24 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{12 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{12 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) + 3 i \, d\right)}}{48 \, \sqrt{f} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}} + \frac{i \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{24} \, \sqrt{6} \sqrt{f} {\left(12 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{24 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{12 \, f} + \frac{i \, \pi^{2} b^{2}}{24 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{12 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{12 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) - 3 i \, d\right)}}{48 \, \sqrt{f} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}} - \frac{3 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{i \, \pi^{2} b^{2}}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) - i \, d\right)}}{16 \, {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}}"," ",0,"3/16*I*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(-I*f/abs(f) + 1)*sqrt(abs(f)))*e^(1/8*I*pi^2*b^2*sgn(f)/f + 1/4*pi*b^2*log(abs(f))*sgn(f)/f - 1/8*I*pi^2*b^2/f - 1/4*pi*b^2*log(abs(f))/f + 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) + I*d)/((-I*f/abs(f) + 1)*sqrt(abs(f))) - 1/48*I*sqrt(6)*sqrt(pi)*erf(-1/24*sqrt(6)*sqrt(f)*(12*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(-I*f/abs(f) + 1))*e^(1/24*I*pi^2*b^2*sgn(f)/f + 1/12*pi*b^2*log(abs(f))*sgn(f)/f - 1/24*I*pi^2*b^2/f - 1/12*pi*b^2*log(abs(f))/f + 1/12*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) + 3*I*d)/(sqrt(f)*(-I*f/abs(f) + 1)) + 1/48*I*sqrt(6)*sqrt(pi)*erf(-1/24*sqrt(6)*sqrt(f)*(12*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(I*f/abs(f) + 1))*e^(-1/24*I*pi^2*b^2*sgn(f)/f - 1/12*pi*b^2*log(abs(f))*sgn(f)/f + 1/24*I*pi^2*b^2/f + 1/12*pi*b^2*log(abs(f))/f - 1/12*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) - 3*I*d)/(sqrt(f)*(I*f/abs(f) + 1)) - 3/16*I*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(I*f/abs(f) + 1)*sqrt(abs(f)))*e^(-1/8*I*pi^2*b^2*sgn(f)/f - 1/4*pi*b^2*log(abs(f))*sgn(f)/f + 1/8*I*pi^2*b^2/f + 1/4*pi*b^2*log(abs(f))/f - 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) - I*d)/((I*f/abs(f) + 1)*sqrt(abs(f)))","B",0
82,1,384,0,0.285681," ","integrate(f^(b*x+a)*sin(f*x^2+e*x+d),x, algorithm=""giac"")","\frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) - 2 \, e}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} - \frac{i \, \pi^{2} b^{2}}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} + i \, d - \frac{i \, e^{2}}{4 \, f}\right)}}{4 \, {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}} - \frac{i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) + 2 \, e}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{i \, \pi^{2} b^{2}}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} - i \, d + \frac{i \, e^{2}}{4 \, f}\right)}}{4 \, {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}}"," ",0,"1/4*I*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) - 2*e)/f)*(-I*f/abs(f) + 1)*sqrt(abs(f)))*e^(1/8*I*pi^2*b^2*sgn(f)/f + 1/4*pi*b^2*log(abs(f))*sgn(f)/f - 1/8*I*pi^2*b^2/f - 1/4*pi*b^2*log(abs(f))/f + 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f + I*d - 1/4*I*e^2/f)/((-I*f/abs(f) + 1)*sqrt(abs(f))) - 1/4*I*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) + 2*e)/f)*(I*f/abs(f) + 1)*sqrt(abs(f)))*e^(-1/8*I*pi^2*b^2*sgn(f)/f - 1/4*pi*b^2*log(abs(f))*sgn(f)/f + 1/8*I*pi^2*b^2/f + 1/4*pi*b^2*log(abs(f))/f - 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f - I*d + 1/4*I*e^2/f)/((I*f/abs(f) + 1)*sqrt(abs(f)))","B",0
83,1,605,0,0.354158," ","integrate(f^(b*x+a)*sin(f*x^2+e*x+d)^2,x, algorithm=""giac"")","{\left(\frac{2 \, b \cos\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right) \log\left({\left| f \right|}\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}} - \frac{{\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)} \sin\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi b x + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi a\right)}}{2 i \, \pi b \mathrm{sgn}\left(f\right) - 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi b x - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a\right)}}{-2 i \, \pi b \mathrm{sgn}\left(f\right) + 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{f} {\left(8 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) - 4 \, e}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{16 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{i \, \pi^{2} b^{2}}{16 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{8 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{8 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} + 2 i \, d - \frac{i \, e^{2}}{2 \, f}\right)}}{8 \, \sqrt{f} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{f} {\left(8 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) + 4 \, e}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{16 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{i \, \pi^{2} b^{2}}{16 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{8 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{8 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} - 2 i \, d + \frac{i \, e^{2}}{2 \, f}\right)}}{8 \, \sqrt{f} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}}"," ",0,"(2*b*cos(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)*log(abs(f))/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2) - (pi*b*sgn(f) - pi*b)*sin(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2))*e^(b*x*log(abs(f)) + a*log(abs(f))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*x*sgn(f) - 1/2*I*pi*b*x + 1/2*I*pi*a*sgn(f) - 1/2*I*pi*a)/(2*I*pi*b*sgn(f) - 2*I*pi*b + 4*b*log(abs(f))) + 2*I*e^(-1/2*I*pi*b*x*sgn(f) + 1/2*I*pi*b*x - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a)/(-2*I*pi*b*sgn(f) + 2*I*pi*b + 4*b*log(abs(f))))*e^(b*x*log(abs(f)) + a*log(abs(f))) + 1/8*sqrt(pi)*erf(-1/8*sqrt(f)*(8*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) - 4*e)/f)*(-I*f/abs(f) + 1))*e^(1/16*I*pi^2*b^2*sgn(f)/f + 1/8*pi*b^2*log(abs(f))*sgn(f)/f - 1/16*I*pi^2*b^2/f - 1/8*pi*b^2*log(abs(f))/f + 1/8*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f + 2*I*d - 1/2*I*e^2/f)/(sqrt(f)*(-I*f/abs(f) + 1)) + 1/8*sqrt(pi)*erf(-1/8*sqrt(f)*(8*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) + 4*e)/f)*(I*f/abs(f) + 1))*e^(-1/16*I*pi^2*b^2*sgn(f)/f - 1/8*pi*b^2*log(abs(f))*sgn(f)/f + 1/16*I*pi^2*b^2/f + 1/8*pi*b^2*log(abs(f))/f - 1/8*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f - 2*I*d + 1/2*I*e^2/f)/(sqrt(f)*(I*f/abs(f) + 1))","B",0
84,1,763,0,0.554870," ","integrate(f^(b*x+a)*sin(f*x^2+e*x+d)^3,x, algorithm=""giac"")","\frac{3 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) - 2 \, e}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} - \frac{i \, \pi^{2} b^{2}}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} + i \, d - \frac{i \, e^{2}}{4 \, f}\right)}}{16 \, {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}} - \frac{i \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{24} \, \sqrt{6} \sqrt{f} {\left(12 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) - 6 \, e}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{24 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{12 \, f} - \frac{i \, \pi^{2} b^{2}}{24 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{12 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{12 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} + 3 i \, d - \frac{3 i \, e^{2}}{4 \, f}\right)}}{48 \, \sqrt{f} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}} + \frac{i \, \sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{24} \, \sqrt{6} \sqrt{f} {\left(12 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) + 6 \, e}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{24 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{12 \, f} + \frac{i \, \pi^{2} b^{2}}{24 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{12 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{12 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} - 3 i \, d + \frac{3 i \, e^{2}}{4 \, f}\right)}}{48 \, \sqrt{f} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}} - \frac{3 i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) + 2 \, e}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{i \, \pi^{2} b^{2}}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} - i \, d + \frac{i \, e^{2}}{4 \, f}\right)}}{16 \, {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}}"," ",0,"3/16*I*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) - 2*e)/f)*(-I*f/abs(f) + 1)*sqrt(abs(f)))*e^(1/8*I*pi^2*b^2*sgn(f)/f + 1/4*pi*b^2*log(abs(f))*sgn(f)/f - 1/8*I*pi^2*b^2/f - 1/4*pi*b^2*log(abs(f))/f + 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f + I*d - 1/4*I*e^2/f)/((-I*f/abs(f) + 1)*sqrt(abs(f))) - 1/48*I*sqrt(6)*sqrt(pi)*erf(-1/24*sqrt(6)*sqrt(f)*(12*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) - 6*e)/f)*(-I*f/abs(f) + 1))*e^(1/24*I*pi^2*b^2*sgn(f)/f + 1/12*pi*b^2*log(abs(f))*sgn(f)/f - 1/24*I*pi^2*b^2/f - 1/12*pi*b^2*log(abs(f))/f + 1/12*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f + 3*I*d - 3/4*I*e^2/f)/(sqrt(f)*(-I*f/abs(f) + 1)) + 1/48*I*sqrt(6)*sqrt(pi)*erf(-1/24*sqrt(6)*sqrt(f)*(12*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) + 6*e)/f)*(I*f/abs(f) + 1))*e^(-1/24*I*pi^2*b^2*sgn(f)/f - 1/12*pi*b^2*log(abs(f))*sgn(f)/f + 1/24*I*pi^2*b^2/f + 1/12*pi*b^2*log(abs(f))/f - 1/12*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f - 3*I*d + 3/4*I*e^2/f)/(sqrt(f)*(I*f/abs(f) + 1)) - 3/16*I*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) + 2*e)/f)*(I*f/abs(f) + 1)*sqrt(abs(f)))*e^(-1/8*I*pi^2*b^2*sgn(f)/f - 1/4*pi*b^2*log(abs(f))*sgn(f)/f + 1/8*I*pi^2*b^2/f + 1/4*pi*b^2*log(abs(f))/f - 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f - I*d + 1/4*I*e^2/f)/((I*f/abs(f) + 1)*sqrt(abs(f)))","B",0
85,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*sin(e*x+d),x, algorithm=""giac"")","\int f^{c x^{2} + a} \sin\left(e x + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*sin(e*x + d), x)","F",0
86,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*sin(e*x+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + a} \sin\left(e x + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*sin(e*x + d)^2, x)","F",0
87,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*sin(e*x+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + a} \sin\left(e x + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*sin(e*x + d)^3, x)","F",0
88,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*sin(f*x^2+d),x, algorithm=""giac"")","\int f^{c x^{2} + a} \sin\left(f x^{2} + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*sin(f*x^2 + d), x)","F",0
89,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*sin(f*x^2+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + a} \sin\left(f x^{2} + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*sin(f*x^2 + d)^2, x)","F",0
90,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*sin(f*x^2+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + a} \sin\left(f x^{2} + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*sin(f*x^2 + d)^3, x)","F",0
91,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*sin(f*x^2+e*x+d),x, algorithm=""giac"")","\int f^{c x^{2} + a} \sin\left(f x^{2} + e x + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*sin(f*x^2 + e*x + d), x)","F",0
92,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*sin(f*x^2+e*x+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + a} \sin\left(f x^{2} + e x + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*sin(f*x^2 + e*x + d)^2, x)","F",0
93,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*sin(f*x^2+e*x+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + a} \sin\left(f x^{2} + e x + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*sin(f*x^2 + e*x + d)^3, x)","F",0
94,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*sin(e*x+d),x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \sin\left(e x + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*sin(e*x + d), x)","F",0
95,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*sin(e*x+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \sin\left(e x + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*sin(e*x + d)^2, x)","F",0
96,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*sin(e*x+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \sin\left(e x + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*sin(e*x + d)^3, x)","F",0
97,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+d),x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \sin\left(f x^{2} + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*sin(f*x^2 + d), x)","F",0
98,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \sin\left(f x^{2} + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*sin(f*x^2 + d)^2, x)","F",0
99,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \sin\left(f x^{2} + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*sin(f*x^2 + d)^3, x)","F",0
100,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+e*x+d),x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \sin\left(f x^{2} + e x + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*sin(f*x^2 + e*x + d), x)","F",0
101,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+e*x+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \sin\left(f x^{2} + e x + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*sin(f*x^2 + e*x + d)^2, x)","F",0
102,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+e*x+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \sin\left(f x^{2} + e x + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*sin(f*x^2 + e*x + d)^3, x)","F",0
103,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*sin(e*x^2+b*x+a),x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \sin\left(e x^{2} + b x + a\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*sin(e*x^2 + b*x + a), x)","F",0
104,1,33,0,0.128772," ","integrate(exp(x)*cos(b*x+a),x, algorithm=""giac"")","{\left(\frac{b \sin\left(b x + a\right)}{b^{2} + 1} + \frac{\cos\left(b x + a\right)}{b^{2} + 1}\right)} e^{x}"," ",0,"(b*sin(b*x + a)/(b^2 + 1) + cos(b*x + a)/(b^2 + 1))*e^x","A",0
105,1,127,0,0.144570," ","integrate(exp(x)*cos(c*x^2+a),x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} {\left(2 \, x + \frac{i}{c}\right)} {\left(\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}\right) e^{\left(-\frac{4 i \, a c + i}{4 \, c}\right)}}{4 \, {\left(\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} {\left(2 \, x - \frac{i}{c}\right)} {\left(-\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}\right) e^{\left(-\frac{-4 i \, a c - i}{4 \, c}\right)}}{4 \, {\left(-\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}}"," ",0,"-1/4*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*(2*x + I/c)*(I*c/abs(c) + 1)*sqrt(abs(c)))*e^(-1/4*(4*I*a*c + I)/c)/((I*c/abs(c) + 1)*sqrt(abs(c))) - 1/4*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*(2*x - I/c)*(-I*c/abs(c) + 1)*sqrt(abs(c)))*e^(-1/4*(-4*I*a*c - I)/c)/((-I*c/abs(c) + 1)*sqrt(abs(c)))","A",0
106,1,147,0,0.179127," ","integrate(exp(x)*cos(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} {\left(2 \, x + \frac{b - i}{c}\right)} {\left(-\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}\right) e^{\left(-\frac{i \, b^{2} - 4 i \, a c + 2 \, b - i}{4 \, c}\right)}}{4 \, {\left(-\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} {\left(2 \, x + \frac{b + i}{c}\right)} {\left(\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}\right) e^{\left(-\frac{-i \, b^{2} + 4 i \, a c + 2 \, b + i}{4 \, c}\right)}}{4 \, {\left(\frac{i \, c}{{\left| c \right|}} + 1\right)} \sqrt{{\left| c \right|}}}"," ",0,"-1/4*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*(2*x + (b - I)/c)*(-I*c/abs(c) + 1)*sqrt(abs(c)))*e^(-1/4*(I*b^2 - 4*I*a*c + 2*b - I)/c)/((-I*c/abs(c) + 1)*sqrt(abs(c))) - 1/4*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*(2*x + (b + I)/c)*(I*c/abs(c) + 1)*sqrt(abs(c)))*e^(-1/4*(-I*b^2 + 4*I*a*c + 2*b + I)/c)/((I*c/abs(c) + 1)*sqrt(abs(c)))","A",0
107,0,0,0,0.000000," ","integrate(exp(x^2)*cos(b*x+a),x, algorithm=""giac"")","\int \cos\left(b x + a\right) e^{\left(x^{2}\right)}\,{d x}"," ",0,"integrate(cos(b*x + a)*e^(x^2), x)","F",0
108,0,0,0,0.000000," ","integrate(exp(x^2)*cos(c*x^2+a),x, algorithm=""giac"")","\int \cos\left(c x^{2} + a\right) e^{\left(x^{2}\right)}\,{d x}"," ",0,"integrate(cos(c*x^2 + a)*e^(x^2), x)","F",0
109,0,0,0,0.000000," ","integrate(exp(x^2)*cos(c*x^2+b*x+a),x, algorithm=""giac"")","\int \cos\left(c x^{2} + b x + a\right) e^{\left(x^{2}\right)}\,{d x}"," ",0,"integrate(cos(c*x^2 + b*x + a)*e^(x^2), x)","F",0
110,1,300,0,0.259461," ","integrate(f^(b*x+a)*cos(f*x^2+d),x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} - \frac{i \, \pi^{2} b^{2}}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) + i \, d\right)}}{4 \, {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{i \, \pi^{2} b^{2}}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) - i \, d\right)}}{4 \, {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}}"," ",0,"-1/4*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(-I*f/abs(f) + 1)*sqrt(abs(f)))*e^(1/8*I*pi^2*b^2*sgn(f)/f + 1/4*pi*b^2*log(abs(f))*sgn(f)/f - 1/8*I*pi^2*b^2/f - 1/4*pi*b^2*log(abs(f))/f + 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) + I*d)/((-I*f/abs(f) + 1)*sqrt(abs(f))) - 1/4*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(I*f/abs(f) + 1)*sqrt(abs(f)))*e^(-1/8*I*pi^2*b^2*sgn(f)/f - 1/4*pi*b^2*log(abs(f))*sgn(f)/f + 1/8*I*pi^2*b^2/f + 1/4*pi*b^2*log(abs(f))/f - 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) - I*d)/((I*f/abs(f) + 1)*sqrt(abs(f)))","B",0
111,1,521,0,0.303626," ","integrate(f^(b*x+a)*cos(f*x^2+d)^2,x, algorithm=""giac"")","{\left(\frac{2 \, b \cos\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right) \log\left({\left| f \right|}\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}} - \frac{{\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)} \sin\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi b x + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi a\right)}}{2 i \, \pi b \mathrm{sgn}\left(f\right) - 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi b x - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a\right)}}{-2 i \, \pi b \mathrm{sgn}\left(f\right) + 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{f} {\left(8 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{16 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{i \, \pi^{2} b^{2}}{16 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{8 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{8 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) + 2 i \, d\right)}}{8 \, \sqrt{f} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{f} {\left(8 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{16 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{i \, \pi^{2} b^{2}}{16 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{8 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{8 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) - 2 i \, d\right)}}{8 \, \sqrt{f} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}}"," ",0,"(2*b*cos(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)*log(abs(f))/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2) - (pi*b*sgn(f) - pi*b)*sin(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2))*e^(b*x*log(abs(f)) + a*log(abs(f))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*x*sgn(f) - 1/2*I*pi*b*x + 1/2*I*pi*a*sgn(f) - 1/2*I*pi*a)/(2*I*pi*b*sgn(f) - 2*I*pi*b + 4*b*log(abs(f))) + 2*I*e^(-1/2*I*pi*b*x*sgn(f) + 1/2*I*pi*b*x - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a)/(-2*I*pi*b*sgn(f) + 2*I*pi*b + 4*b*log(abs(f))))*e^(b*x*log(abs(f)) + a*log(abs(f))) - 1/8*sqrt(pi)*erf(-1/8*sqrt(f)*(8*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(-I*f/abs(f) + 1))*e^(1/16*I*pi^2*b^2*sgn(f)/f + 1/8*pi*b^2*log(abs(f))*sgn(f)/f - 1/16*I*pi^2*b^2/f - 1/8*pi*b^2*log(abs(f))/f + 1/8*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) + 2*I*d)/(sqrt(f)*(-I*f/abs(f) + 1)) - 1/8*sqrt(pi)*erf(-1/8*sqrt(f)*(8*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(I*f/abs(f) + 1))*e^(-1/16*I*pi^2*b^2*sgn(f)/f - 1/8*pi*b^2*log(abs(f))*sgn(f)/f + 1/16*I*pi^2*b^2/f + 1/8*pi*b^2*log(abs(f))/f - 1/8*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) - 2*I*d)/(sqrt(f)*(I*f/abs(f) + 1))","B",0
112,1,595,0,0.400635," ","integrate(f^(b*x+a)*cos(f*x^2+d)^3,x, algorithm=""giac"")","-\frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} - \frac{i \, \pi^{2} b^{2}}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) + i \, d\right)}}{16 \, {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}} - \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{24} \, \sqrt{6} \sqrt{f} {\left(12 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{24 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{12 \, f} - \frac{i \, \pi^{2} b^{2}}{24 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{12 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{12 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) + 3 i \, d\right)}}{48 \, \sqrt{f} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}} - \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{24} \, \sqrt{6} \sqrt{f} {\left(12 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{24 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{12 \, f} + \frac{i \, \pi^{2} b^{2}}{24 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{12 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{12 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) - 3 i \, d\right)}}{48 \, \sqrt{f} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}} - \frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right)}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{i \, \pi^{2} b^{2}}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a + a \log\left({\left| f \right|}\right) - i \, d\right)}}{16 \, {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}}"," ",0,"-3/16*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(-I*f/abs(f) + 1)*sqrt(abs(f)))*e^(1/8*I*pi^2*b^2*sgn(f)/f + 1/4*pi*b^2*log(abs(f))*sgn(f)/f - 1/8*I*pi^2*b^2/f - 1/4*pi*b^2*log(abs(f))/f + 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) + I*d)/((-I*f/abs(f) + 1)*sqrt(abs(f))) - 1/48*sqrt(6)*sqrt(pi)*erf(-1/24*sqrt(6)*sqrt(f)*(12*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(-I*f/abs(f) + 1))*e^(1/24*I*pi^2*b^2*sgn(f)/f + 1/12*pi*b^2*log(abs(f))*sgn(f)/f - 1/24*I*pi^2*b^2/f - 1/12*pi*b^2*log(abs(f))/f + 1/12*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) + 3*I*d)/(sqrt(f)*(-I*f/abs(f) + 1)) - 1/48*sqrt(6)*sqrt(pi)*erf(-1/24*sqrt(6)*sqrt(f)*(12*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(I*f/abs(f) + 1))*e^(-1/24*I*pi^2*b^2*sgn(f)/f - 1/12*pi*b^2*log(abs(f))*sgn(f)/f + 1/24*I*pi^2*b^2/f + 1/12*pi*b^2*log(abs(f))/f - 1/12*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) - 3*I*d)/(sqrt(f)*(I*f/abs(f) + 1)) - 3/16*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)))/f)*(I*f/abs(f) + 1)*sqrt(abs(f)))*e^(-1/8*I*pi^2*b^2*sgn(f)/f - 1/4*pi*b^2*log(abs(f))*sgn(f)/f + 1/8*I*pi^2*b^2/f + 1/4*pi*b^2*log(abs(f))/f - 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a + a*log(abs(f)) - I*d)/((I*f/abs(f) + 1)*sqrt(abs(f)))","B",0
113,1,384,0,0.309231," ","integrate(f^(b*x+a)*cos(f*x^2+e*x+d),x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) - 2 \, e}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} - \frac{i \, \pi^{2} b^{2}}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} + i \, d - \frac{i \, e^{2}}{4 \, f}\right)}}{4 \, {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) + 2 \, e}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{i \, \pi^{2} b^{2}}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} - i \, d + \frac{i \, e^{2}}{4 \, f}\right)}}{4 \, {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}}"," ",0,"-1/4*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) - 2*e)/f)*(-I*f/abs(f) + 1)*sqrt(abs(f)))*e^(1/8*I*pi^2*b^2*sgn(f)/f + 1/4*pi*b^2*log(abs(f))*sgn(f)/f - 1/8*I*pi^2*b^2/f - 1/4*pi*b^2*log(abs(f))/f + 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f + I*d - 1/4*I*e^2/f)/((-I*f/abs(f) + 1)*sqrt(abs(f))) - 1/4*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) + 2*e)/f)*(I*f/abs(f) + 1)*sqrt(abs(f)))*e^(-1/8*I*pi^2*b^2*sgn(f)/f - 1/4*pi*b^2*log(abs(f))*sgn(f)/f + 1/8*I*pi^2*b^2/f + 1/4*pi*b^2*log(abs(f))/f - 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f - I*d + 1/4*I*e^2/f)/((I*f/abs(f) + 1)*sqrt(abs(f)))","B",0
114,1,605,0,0.362232," ","integrate(f^(b*x+a)*cos(f*x^2+e*x+d)^2,x, algorithm=""giac"")","{\left(\frac{2 \, b \cos\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right) \log\left({\left| f \right|}\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}} - \frac{{\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)} \sin\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi b x + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi a\right)}}{2 i \, \pi b \mathrm{sgn}\left(f\right) - 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi b x - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a\right)}}{-2 i \, \pi b \mathrm{sgn}\left(f\right) + 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{f} {\left(8 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) - 4 \, e}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{16 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{i \, \pi^{2} b^{2}}{16 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{8 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{8 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} + 2 i \, d - \frac{i \, e^{2}}{2 \, f}\right)}}{8 \, \sqrt{f} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{f} {\left(8 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) + 4 \, e}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{16 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{i \, \pi^{2} b^{2}}{16 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{8 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{8 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} - 2 i \, d + \frac{i \, e^{2}}{2 \, f}\right)}}{8 \, \sqrt{f} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}}"," ",0,"(2*b*cos(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)*log(abs(f))/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2) - (pi*b*sgn(f) - pi*b)*sin(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2))*e^(b*x*log(abs(f)) + a*log(abs(f))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*x*sgn(f) - 1/2*I*pi*b*x + 1/2*I*pi*a*sgn(f) - 1/2*I*pi*a)/(2*I*pi*b*sgn(f) - 2*I*pi*b + 4*b*log(abs(f))) + 2*I*e^(-1/2*I*pi*b*x*sgn(f) + 1/2*I*pi*b*x - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a)/(-2*I*pi*b*sgn(f) + 2*I*pi*b + 4*b*log(abs(f))))*e^(b*x*log(abs(f)) + a*log(abs(f))) - 1/8*sqrt(pi)*erf(-1/8*sqrt(f)*(8*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) - 4*e)/f)*(-I*f/abs(f) + 1))*e^(1/16*I*pi^2*b^2*sgn(f)/f + 1/8*pi*b^2*log(abs(f))*sgn(f)/f - 1/16*I*pi^2*b^2/f - 1/8*pi*b^2*log(abs(f))/f + 1/8*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f + 2*I*d - 1/2*I*e^2/f)/(sqrt(f)*(-I*f/abs(f) + 1)) - 1/8*sqrt(pi)*erf(-1/8*sqrt(f)*(8*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) + 4*e)/f)*(I*f/abs(f) + 1))*e^(-1/16*I*pi^2*b^2*sgn(f)/f - 1/8*pi*b^2*log(abs(f))*sgn(f)/f + 1/16*I*pi^2*b^2/f + 1/8*pi*b^2*log(abs(f))/f - 1/8*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f - 2*I*d + 1/2*I*e^2/f)/(sqrt(f)*(I*f/abs(f) + 1))","B",0
115,1,763,0,0.588708," ","integrate(f^(b*x+a)*cos(f*x^2+e*x+d)^3,x, algorithm=""giac"")","-\frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) - 2 \, e}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} - \frac{i \, \pi^{2} b^{2}}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} + i \, d - \frac{i \, e^{2}}{4 \, f}\right)}}{16 \, {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}} - \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{24} \, \sqrt{6} \sqrt{f} {\left(12 \, x - \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) - 6 \, e}{f}\right)} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{24 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{12 \, f} - \frac{i \, \pi^{2} b^{2}}{24 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{12 \, f} + \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{12 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} + 3 i \, d - \frac{3 i \, e^{2}}{4 \, f}\right)}}{48 \, \sqrt{f} {\left(-\frac{i \, f}{{\left| f \right|}} + 1\right)}} - \frac{\sqrt{6} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{24} \, \sqrt{6} \sqrt{f} {\left(12 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) + 6 \, e}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{24 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{12 \, f} + \frac{i \, \pi^{2} b^{2}}{24 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{12 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{12 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} - 3 i \, d + \frac{3 i \, e^{2}}{4 \, f}\right)}}{48 \, \sqrt{f} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)}} - \frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{8} \, \sqrt{2} {\left(4 \, x + \frac{\pi b \mathrm{sgn}\left(f\right) - \pi b + 2 i \, b \log\left({\left| f \right|}\right) + 2 \, e}{f}\right)} {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}\right) e^{\left(-\frac{i \, \pi^{2} b^{2} \mathrm{sgn}\left(f\right)}{8 \, f} - \frac{\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{i \, \pi^{2} b^{2}}{8 \, f} + \frac{\pi b^{2} \log\left({\left| f \right|}\right)}{4 \, f} - \frac{i \, b^{2} \log\left({\left| f \right|}\right)^{2}}{4 \, f} - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{i \, \pi b e \mathrm{sgn}\left(f\right)}{4 \, f} + \frac{1}{2} i \, \pi a - \frac{i \, \pi b e}{4 \, f} + a \log\left({\left| f \right|}\right) - \frac{b e \log\left({\left| f \right|}\right)}{2 \, f} - i \, d + \frac{i \, e^{2}}{4 \, f}\right)}}{16 \, {\left(\frac{i \, f}{{\left| f \right|}} + 1\right)} \sqrt{{\left| f \right|}}}"," ",0,"-3/16*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) - 2*e)/f)*(-I*f/abs(f) + 1)*sqrt(abs(f)))*e^(1/8*I*pi^2*b^2*sgn(f)/f + 1/4*pi*b^2*log(abs(f))*sgn(f)/f - 1/8*I*pi^2*b^2/f - 1/4*pi*b^2*log(abs(f))/f + 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f + I*d - 1/4*I*e^2/f)/((-I*f/abs(f) + 1)*sqrt(abs(f))) - 1/48*sqrt(6)*sqrt(pi)*erf(-1/24*sqrt(6)*sqrt(f)*(12*x - (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) - 6*e)/f)*(-I*f/abs(f) + 1))*e^(1/24*I*pi^2*b^2*sgn(f)/f + 1/12*pi*b^2*log(abs(f))*sgn(f)/f - 1/24*I*pi^2*b^2/f - 1/12*pi*b^2*log(abs(f))/f + 1/12*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f + 3*I*d - 3/4*I*e^2/f)/(sqrt(f)*(-I*f/abs(f) + 1)) - 1/48*sqrt(6)*sqrt(pi)*erf(-1/24*sqrt(6)*sqrt(f)*(12*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) + 6*e)/f)*(I*f/abs(f) + 1))*e^(-1/24*I*pi^2*b^2*sgn(f)/f - 1/12*pi*b^2*log(abs(f))*sgn(f)/f + 1/24*I*pi^2*b^2/f + 1/12*pi*b^2*log(abs(f))/f - 1/12*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f - 3*I*d + 3/4*I*e^2/f)/(sqrt(f)*(I*f/abs(f) + 1)) - 3/16*sqrt(2)*sqrt(pi)*erf(-1/8*sqrt(2)*(4*x + (pi*b*sgn(f) - pi*b + 2*I*b*log(abs(f)) + 2*e)/f)*(I*f/abs(f) + 1)*sqrt(abs(f)))*e^(-1/8*I*pi^2*b^2*sgn(f)/f - 1/4*pi*b^2*log(abs(f))*sgn(f)/f + 1/8*I*pi^2*b^2/f + 1/4*pi*b^2*log(abs(f))/f - 1/4*I*b^2*log(abs(f))^2/f - 1/2*I*pi*a*sgn(f) + 1/4*I*pi*b*e*sgn(f)/f + 1/2*I*pi*a - 1/4*I*pi*b*e/f + a*log(abs(f)) - 1/2*b*e*log(abs(f))/f - I*d + 1/4*I*e^2/f)/((I*f/abs(f) + 1)*sqrt(abs(f)))","B",0
116,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*cos(e*x+d),x, algorithm=""giac"")","\int f^{c x^{2} + a} \cos\left(e x + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*cos(e*x + d), x)","F",0
117,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*cos(e*x+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + a} \cos\left(e x + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*cos(e*x + d)^2, x)","F",0
118,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*cos(e*x+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + a} \cos\left(e x + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*cos(e*x + d)^3, x)","F",0
119,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*cos(f*x^2+d),x, algorithm=""giac"")","\int f^{c x^{2} + a} \cos\left(f x^{2} + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*cos(f*x^2 + d), x)","F",0
120,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*cos(f*x^2+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + a} \cos\left(f x^{2} + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*cos(f*x^2 + d)^2, x)","F",0
121,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*cos(f*x^2+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + a} \cos\left(f x^{2} + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*cos(f*x^2 + d)^3, x)","F",0
122,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*cos(f*x^2+e*x+d),x, algorithm=""giac"")","\int f^{c x^{2} + a} \cos\left(f x^{2} + e x + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*cos(f*x^2 + e*x + d), x)","F",0
123,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*cos(f*x^2+e*x+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + a} \cos\left(f x^{2} + e x + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*cos(f*x^2 + e*x + d)^2, x)","F",0
124,0,0,0,0.000000," ","integrate(f^(c*x^2+a)*cos(f*x^2+e*x+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + a} \cos\left(f x^{2} + e x + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + a)*cos(f*x^2 + e*x + d)^3, x)","F",0
125,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*cos(e*x+d),x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \cos\left(e x + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*cos(e*x + d), x)","F",0
126,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*cos(e*x+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \cos\left(e x + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*cos(e*x + d)^2, x)","F",0
127,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*cos(e*x+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \cos\left(e x + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*cos(e*x + d)^3, x)","F",0
128,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+d),x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \cos\left(f x^{2} + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*cos(f*x^2 + d), x)","F",0
129,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \cos\left(f x^{2} + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*cos(f*x^2 + d)^2, x)","F",0
130,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \cos\left(f x^{2} + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*cos(f*x^2 + d)^3, x)","F",0
131,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+e*x+d),x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \cos\left(f x^{2} + e x + d\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*cos(f*x^2 + e*x + d), x)","F",0
132,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+e*x+d)^2,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \cos\left(f x^{2} + e x + d\right)^{2}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*cos(f*x^2 + e*x + d)^2, x)","F",0
133,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+e*x+d)^3,x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \cos\left(f x^{2} + e x + d\right)^{3}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*cos(f*x^2 + e*x + d)^3, x)","F",0
134,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)*cos(e*x^2+b*x+a),x, algorithm=""giac"")","\int f^{c x^{2} + b x + a} \cos\left(e x^{2} + b x + a\right)\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)*cos(e*x^2 + b*x + a), x)","F",0
135,1,1774,0,0.378946," ","integrate(F^(c*(b*x+a))*(f+f*sin(e*x+d))^2,x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\frac{2 \, b c f^{2} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 2 \, x e + 2 \, d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)} f^{2} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 2 \, x e + 2 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} \, {\left(\frac{2 \, b c f^{2} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 2 \, x e - 2 \, d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)} f^{2} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 2 \, x e - 2 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + 3 \, {\left(\frac{2 \, b c f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + 2 \, {\left(\frac{2 \, b c f^{2} \log\left({\left| F \right|}\right) \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)} f^{2} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - 2 \, {\left(\frac{2 \, b c f^{2} \log\left({\left| F \right|}\right) \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)} f^{2} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + 2 i \, x e + 2 i \, d\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 i \, e} - \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - 2 i \, x e - 2 i \, d\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 i \, e} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 i \, e} - \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - 2 i \, x e - 2 i \, d\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 i \, e} - \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + 2 i \, x e + 2 i \, d\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"-1/2*(2*b*c*f^2*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 2*x*e + 2*d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 4*e)^2) + (pi*b*c*sgn(F) - pi*b*c + 4*e)*f^2*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 2*x*e + 2*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 4*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*(2*b*c*f^2*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 2*x*e - 2*d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 4*e)^2) + (pi*b*c*sgn(F) - pi*b*c - 4*e)*f^2*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 2*x*e - 2*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 4*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 3*(2*b*c*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 2*(2*b*c*f^2*log(abs(F))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c + 2*e)*f^2*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 2*(2*b*c*f^2*log(abs(F))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c - 2*e)*f^2*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + 2*I*x*e + 2*I*d)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*I*e) - 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - 2*I*x*e - 2*I*d)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) + 2*I*e) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) - 2*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) - 2*I*e) - 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) + 2*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - 2*I*x*e - 2*I*d)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*I*e) - 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + 2*I*x*e + 2*I*d)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F))) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F))) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
136,1,941,0,0.260660," ","integrate(F^(c*(b*x+a))*(f+f*sin(e*x+d)),x, algorithm=""giac"")","2 \, {\left(\frac{2 \, b c f \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + {\left(\frac{2 \, b c f \log\left({\left| F \right|}\right) \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)} f \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - {\left(\frac{2 \, b c f \log\left({\left| F \right|}\right) \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)} f \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e} + \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(-\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e} - \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)} + \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"2*(2*b*c*f*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*f*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + (2*b*c*f*log(abs(F))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c + 2*e)*f*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - (2*b*c*f*log(abs(F))*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c - 2*e)*f*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e) + 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(-2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e) - 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F))) + 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
137,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+f*sin(e*x+d)),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{f \sin\left(e x + d\right) + f}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(f*sin(e*x + d) + f), x)","F",0
138,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+f*sin(e*x+d))^2,x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(f \sin\left(e x + d\right) + f\right)}^{2}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(f*sin(e*x + d) + f)^2, x)","F",0
139,1,1772,0,0.373073," ","integrate(F^(c*(b*x+a))*(f+f*cos(e*x+d))^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{2 \, b c f^{2} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 2 \, x e + 2 \, d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)} f^{2} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + 2 \, x e + 2 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 4 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + 2 \, {\left(\frac{2 \, b c f^{2} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)} f^{2} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + 2 \, {\left(\frac{2 \, b c f^{2} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)} f^{2} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{2 \, b c f^{2} \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 2 \, x e - 2 \, d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)} f^{2} \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - 2 \, x e - 2 \, d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 4 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + 3 \, {\left(\frac{2 \, b c f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + 2 i \, x e + 2 i \, d\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 i \, e} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - 2 i \, x e - 2 i \, d\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 i \, e} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 i \, e} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - 2 i \, x e - 2 i \, d\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 i \, e} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + 2 i \, x e + 2 i \, d\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"1/2*(2*b*c*f^2*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 2*x*e + 2*d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 4*e)^2) + (pi*b*c*sgn(F) - pi*b*c + 4*e)*f^2*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + 2*x*e + 2*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 4*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 2*(2*b*c*f^2*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2) + (pi*b*c*sgn(F) - pi*b*c + 2*e)*f^2*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 2*(2*b*c*f^2*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2) + (pi*b*c*sgn(F) - pi*b*c - 2*e)*f^2*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(2*b*c*f^2*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 2*x*e - 2*d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 4*e)^2) + (pi*b*c*sgn(F) - pi*b*c - 4*e)*f^2*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - 2*x*e - 2*d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 4*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 3*(2*b*c*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + 2*I*x*e + 2*I*d)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*I*e) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - 2*I*x*e - 2*I*d)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) + 2*I*e) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) - 2*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) - 2*I*e) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) + 2*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - 2*I*x*e - 2*I*d)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*I*e) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + 2*I*x*e + 2*I*d)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F))) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F))) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
140,1,938,0,0.249271," ","integrate(F^(c*(b*x+a))*(f+f*cos(e*x+d)),x, algorithm=""giac"")","{\left(\frac{2 \, b c f \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)} f \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c + x e + d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c + 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + {\left(\frac{2 \, b c f \cos\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}} + \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)} f \sin\left(\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi b c x + \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} \, \pi a c - x e - d\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c - 2 \, e\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + 2 \, {\left(\frac{2 \, b c f \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e} + \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c - i \, x e - i \, d\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 i \, e} + \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c + i \, x e + i \, d\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 i \, e}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)} + \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"(2*b*c*f*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2) + (pi*b*c*sgn(F) - pi*b*c + 2*e)*f*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c + x*e + d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c + 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + (2*b*c*f*cos(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2) + (pi*b*c*sgn(F) - pi*b*c - 2*e)*f*sin(1/2*pi*b*c*x*sgn(F) - 1/2*pi*b*c*x + 1/2*pi*a*c*sgn(F) - 1/2*pi*a*c - x*e - d)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c - 2*e)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 2*(2*b*c*f*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*f*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c + I*x*e + I*d)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e) + 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c - I*x*e - I*d)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c - I*x*e - I*d)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*I*e) + 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c + I*x*e + I*d)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*I*e))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F))) + 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
141,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+f*cos(e*x+d)),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{f \cos\left(e x + d\right) + f}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(f*cos(e*x + d) + f), x)","F",0
142,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+f*cos(e*x+d))^2,x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(f \cos\left(e x + d\right) + f\right)}^{2}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(f*cos(e*x + d) + f)^2, x)","F",0
