1,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(e*x+d)^m,x, algorithm=""giac"")","\int {\left(e x + d\right)}^{m} F^{{\left(b x + a\right)} c}\,{d x}"," ",0,"integrate((e*x + d)^m*F^((b*x + a)*c), x)","F",0
2,1,7867,0,1.671198," ","integrate(F^(c*(b*x+a))*(e*x+d)^4,x, algorithm=""giac"")","-{\left({\left(\frac{4 \, {\left(\pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} - \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + \pi^{3} b^{3} c^{3} x^{3} - 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 6 \, \pi b c x \mathrm{sgn}\left(F\right) - 6 \, \pi b c x\right)} {\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} - \frac{{\left(\pi^{4} b^{4} c^{4} x^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} x^{4} + 6 \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{4} + 12 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 8 \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 12 \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{2} c^{2} x^{2} - 24 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 48 \, b c x \log\left({\left| F \right|}\right) - 48\right)} {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\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\right) - {\left(\frac{{\left(\pi^{4} b^{4} c^{4} x^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} x^{4} + 6 \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{4} + 12 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 8 \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 12 \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{2} c^{2} x^{2} - 24 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 48 \, b c x \log\left({\left| F \right|}\right) - 48\right)} {\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} + \frac{4 \, {\left(\pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} - \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + \pi^{3} b^{3} c^{3} x^{3} - 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 6 \, \pi b c x \mathrm{sgn}\left(F\right) - 6 \, \pi b c x\right)} {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 4\right)} + \frac{1}{2} i \, {\left(\frac{{\left(-16 i \, \pi^{4} b^{4} c^{4} x^{4} \mathrm{sgn}\left(F\right) + 64 \, \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 64 \, \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} x^{4} - 64 \, \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} + 64 \, \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{4} - 64 \, \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 192 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 64 \, \pi^{3} b^{3} c^{3} x^{3} + 192 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) - 192 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 128 i \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} + 192 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) - 384 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{2} c^{2} x^{2} + 384 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 384 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 384 \, \pi b c x \mathrm{sgn}\left(F\right) - 384 \, \pi b c x - 768 i \, b c x \log\left({\left| F \right|}\right) + 768 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\right)}}{16 i \, \pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - 16 i \, \pi^{5} b^{5} c^{5} + 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} + 32 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}} - \frac{{\left(-16 i \, \pi^{4} b^{4} c^{4} x^{4} \mathrm{sgn}\left(F\right) - 64 \, \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 64 \, \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} x^{4} + 64 \, \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} - 64 \, \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{4} + 64 \, \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 64 \, \pi^{3} b^{3} c^{3} x^{3} + 192 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 192 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 128 i \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} + 192 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 384 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{2} c^{2} x^{2} - 384 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 384 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 384 \, \pi b c x \mathrm{sgn}\left(F\right) + 384 \, \pi b c x - 768 i \, b c x \log\left({\left| F \right|}\right) + 768 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\right)}}{-16 i \, \pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{5} b^{5} c^{5} + 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) - 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} + 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} + 32 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 4\right)} - 4 \, {\left({\left(\frac{{\left(3 \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} c^{2} d x^{2} - 6 \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b c d x \log\left({\left| F \right|}\right) - 12 \, d\right)} {\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{4 \, {\left(\pi^{3} b^{3} c^{3} d x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} d x^{3} + 3 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b c d x \mathrm{sgn}\left(F\right) + 6 \, \pi b c d x\right)} {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\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\right) - {\left(\frac{{\left(\pi^{3} b^{3} c^{3} d x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} d x^{3} + 3 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b c d x \mathrm{sgn}\left(F\right) + 6 \, \pi b c d x\right)} {\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{4 \, {\left(3 \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} c^{2} d x^{2} - 6 \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b c d x \log\left({\left| F \right|}\right) - 12 \, d\right)} {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 3\right)} - \frac{1}{2} i \, {\left(\frac{{\left(32 \, \pi^{3} b^{3} c^{3} d x^{3} \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 96 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 \, \pi^{3} b^{3} c^{3} d x^{3} - 96 i \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) + 96 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} + 64 i \, b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{3} - 96 i \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) + 192 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{2} c^{2} d x^{2} - 192 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) - 192 i \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} - 192 \, \pi b c d x \mathrm{sgn}\left(F\right) + 192 \, \pi b c d x + 384 i \, b c d x \log\left({\left| F \right|}\right) - 384 i \, d\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\right)}}{8 \, \pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) + 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} c^{4} - 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} + 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}} + \frac{{\left(32 \, \pi^{3} b^{3} c^{3} d x^{3} \mathrm{sgn}\left(F\right) - 96 i \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 96 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 \, \pi^{3} b^{3} c^{3} d x^{3} + 96 i \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) + 96 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} - 64 i \, b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{3} + 96 i \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) + 192 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 96 i \, \pi^{2} b^{2} c^{2} d x^{2} - 192 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) + 192 i \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} - 192 \, \pi b c d x \mathrm{sgn}\left(F\right) + 192 \, \pi b c d x - 384 i \, b c d x \log\left({\left| F \right|}\right) + 384 i \, d\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\right)}}{8 \, \pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} c^{4} + 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 3\right)} - 6 \, {\left({\left(\frac{2 \, {\left(\pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b c d^{2} x \mathrm{sgn}\left(F\right) + \pi b c d^{2} x\right)} {\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{2} b^{2} c^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} d^{2} x^{2} + 2 \, b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c d^{2} x \log\left({\left| F \right|}\right) + 4 \, d^{2}\right)} {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right) - {\left(\frac{{\left(\pi^{2} b^{2} c^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} d^{2} x^{2} + 2 \, b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c d^{2} x \log\left({\left| F \right|}\right) + 4 \, d^{2}\right)} {\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(\pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b c d^{2} x \mathrm{sgn}\left(F\right) + \pi b c d^{2} x\right)} {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + \frac{1}{2} i \, {\left(\frac{{\left(24 i \, \pi^{2} b^{2} c^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) - 48 \, \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{2} c^{2} d^{2} x^{2} + 48 \, \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) + 48 i \, b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 48 \, \pi b c d^{2} x \mathrm{sgn}\left(F\right) - 48 \, \pi b c d^{2} x - 96 i \, b c d^{2} x \log\left({\left| F \right|}\right) + 96 i \, d^{2}\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\right)}}{-4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(24 i \, \pi^{2} b^{2} c^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{2} c^{2} d^{2} x^{2} - 48 \, \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) + 48 i \, b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b c d^{2} x \mathrm{sgn}\left(F\right) + 48 \, \pi b c d^{2} x - 96 i \, b c d^{2} x \log\left({\left| F \right|}\right) + 96 i \, d^{2}\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\right)}}{4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + 4 \, {\left(2 \, {\left(\frac{{\left(b c d^{3} x \log\left({\left| F \right|}\right) - d^{3}\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}\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}\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)\right)}^{2}} + \frac{{\left(\pi b c d^{3} x \mathrm{sgn}\left(F\right) - \pi b c d^{3} x\right)} {\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)\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}\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)\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\right) + {\left(\frac{{\left(\pi b c d^{3} x \mathrm{sgn}\left(F\right) - \pi b c d^{3} x\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}\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}\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)\right)}^{2}} - \frac{4 \, {\left(b c d^{3} x \log\left({\left| F \right|}\right) - d^{3}\right)} {\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)\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}\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)\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\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(8 \, \pi b c d^{3} x \mathrm{sgn}\left(F\right) - 8 \, \pi b c d^{3} x - 16 i \, b c d^{3} x \log\left({\left| F \right|}\right) + 16 i \, d^{3}\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(8 \, \pi b c d^{3} x \mathrm{sgn}\left(F\right) - 8 \, \pi b c d^{3} x + 16 i \, b c d^{3} x \log\left({\left| F \right|}\right) - 16 i \, d^{3}\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} + 2 \, {\left(\frac{2 \, b c d^{4} \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)} d^{4} \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 \, d^{4} 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 \, d^{4} 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,"-((4*(pi^3*b^4*c^4*x^4*log(abs(F))*sgn(F) - pi*b^4*c^4*x^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*x^4*log(abs(F)) + pi*b^4*c^4*x^4*log(abs(F))^3 - pi^3*b^3*c^3*x^3*sgn(F) + 3*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) + pi^3*b^3*c^3*x^3 - 3*pi*b^3*c^3*x^3*log(abs(F))^2 - 6*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) + 6*pi*b^2*c^2*x^2*log(abs(F)) + 6*pi*b*c*x*sgn(F) - 6*pi*b*c*x)*(pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^2) - (pi^4*b^4*c^4*x^4*sgn(F) - 6*pi^2*b^4*c^4*x^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*x^4 + 6*pi^2*b^4*c^4*x^4*log(abs(F))^2 - 2*b^4*c^4*x^4*log(abs(F))^4 + 12*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 12*pi^2*b^3*c^3*x^3*log(abs(F)) + 8*b^3*c^3*x^3*log(abs(F))^3 - 12*pi^2*b^2*c^2*x^2*sgn(F) + 12*pi^2*b^2*c^2*x^2 - 24*b^2*c^2*x^2*log(abs(F))^2 + 48*b*c*x*log(abs(F)) - 48)*(5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^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) - ((pi^4*b^4*c^4*x^4*sgn(F) - 6*pi^2*b^4*c^4*x^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*x^4 + 6*pi^2*b^4*c^4*x^4*log(abs(F))^2 - 2*b^4*c^4*x^4*log(abs(F))^4 + 12*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 12*pi^2*b^3*c^3*x^3*log(abs(F)) + 8*b^3*c^3*x^3*log(abs(F))^3 - 12*pi^2*b^2*c^2*x^2*sgn(F) + 12*pi^2*b^2*c^2*x^2 - 24*b^2*c^2*x^2*log(abs(F))^2 + 48*b*c*x*log(abs(F)) - 48)*(pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^2) + 4*(pi^3*b^4*c^4*x^4*log(abs(F))*sgn(F) - pi*b^4*c^4*x^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*x^4*log(abs(F)) + pi*b^4*c^4*x^4*log(abs(F))^3 - pi^3*b^3*c^3*x^3*sgn(F) + 3*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) + pi^3*b^3*c^3*x^3 - 3*pi*b^3*c^3*x^3*log(abs(F))^2 - 6*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) + 6*pi*b^2*c^2*x^2*log(abs(F)) + 6*pi*b*c*x*sgn(F) - 6*pi*b*c*x)*(5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 4) + 1/2*I*((-16*I*pi^4*b^4*c^4*x^4*sgn(F) + 64*pi^3*b^4*c^4*x^4*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*x^4*log(abs(F))^2*sgn(F) - 64*pi*b^4*c^4*x^4*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*x^4 - 64*pi^3*b^4*c^4*x^4*log(abs(F)) - 96*I*pi^2*b^4*c^4*x^4*log(abs(F))^2 + 64*pi*b^4*c^4*x^4*log(abs(F))^3 + 32*I*b^4*c^4*x^4*log(abs(F))^4 - 64*pi^3*b^3*c^3*x^3*sgn(F) - 192*I*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) + 192*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) + 64*pi^3*b^3*c^3*x^3 + 192*I*pi^2*b^3*c^3*x^3*log(abs(F)) - 192*pi*b^3*c^3*x^3*log(abs(F))^2 - 128*I*b^3*c^3*x^3*log(abs(F))^3 + 192*I*pi^2*b^2*c^2*x^2*sgn(F) - 384*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 192*I*pi^2*b^2*c^2*x^2 + 384*pi*b^2*c^2*x^2*log(abs(F)) + 384*I*b^2*c^2*x^2*log(abs(F))^2 + 384*pi*b*c*x*sgn(F) - 384*pi*b*c*x - 768*I*b*c*x*log(abs(F)) + 768*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)/(16*I*pi^5*b^5*c^5*sgn(F) - 80*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 160*I*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 160*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) + 80*I*pi*b^5*c^5*log(abs(F))^4*sgn(F) - 16*I*pi^5*b^5*c^5 + 80*pi^4*b^5*c^5*log(abs(F)) + 160*I*pi^3*b^5*c^5*log(abs(F))^2 - 160*pi^2*b^5*c^5*log(abs(F))^3 - 80*I*pi*b^5*c^5*log(abs(F))^4 + 32*b^5*c^5*log(abs(F))^5) - (-16*I*pi^4*b^4*c^4*x^4*sgn(F) - 64*pi^3*b^4*c^4*x^4*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*x^4*log(abs(F))^2*sgn(F) + 64*pi*b^4*c^4*x^4*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*x^4 + 64*pi^3*b^4*c^4*x^4*log(abs(F)) - 96*I*pi^2*b^4*c^4*x^4*log(abs(F))^2 - 64*pi*b^4*c^4*x^4*log(abs(F))^3 + 32*I*b^4*c^4*x^4*log(abs(F))^4 + 64*pi^3*b^3*c^3*x^3*sgn(F) - 192*I*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 192*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) - 64*pi^3*b^3*c^3*x^3 + 192*I*pi^2*b^3*c^3*x^3*log(abs(F)) + 192*pi*b^3*c^3*x^3*log(abs(F))^2 - 128*I*b^3*c^3*x^3*log(abs(F))^3 + 192*I*pi^2*b^2*c^2*x^2*sgn(F) + 384*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 192*I*pi^2*b^2*c^2*x^2 - 384*pi*b^2*c^2*x^2*log(abs(F)) + 384*I*b^2*c^2*x^2*log(abs(F))^2 - 384*pi*b*c*x*sgn(F) + 384*pi*b*c*x - 768*I*b*c*x*log(abs(F)) + 768*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)/(-16*I*pi^5*b^5*c^5*sgn(F) - 80*pi^4*b^5*c^5*log(abs(F))*sgn(F) + 160*I*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 160*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 80*I*pi*b^5*c^5*log(abs(F))^4*sgn(F) + 16*I*pi^5*b^5*c^5 + 80*pi^4*b^5*c^5*log(abs(F)) - 160*I*pi^3*b^5*c^5*log(abs(F))^2 - 160*pi^2*b^5*c^5*log(abs(F))^3 + 80*I*pi*b^5*c^5*log(abs(F))^4 + 32*b^5*c^5*log(abs(F))^5))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 4) - 4*(((3*pi^2*b^3*c^3*d*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*d*x^3*log(abs(F)) + 2*b^3*c^3*d*x^3*log(abs(F))^3 - 3*pi^2*b^2*c^2*d*x^2*sgn(F) + 3*pi^2*b^2*c^2*d*x^2 - 6*b^2*c^2*d*x^2*log(abs(F))^2 + 12*b*c*d*x*log(abs(F)) - 12*d)*(pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^2) - 4*(pi^3*b^3*c^3*d*x^3*sgn(F) - 3*pi*b^3*c^3*d*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*d*x^3 + 3*pi*b^3*c^3*d*x^3*log(abs(F))^2 + 6*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*c^2*d*x^2*log(abs(F)) - 6*pi*b*c*d*x*sgn(F) + 6*pi*b*c*d*x)*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^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) - ((pi^3*b^3*c^3*d*x^3*sgn(F) - 3*pi*b^3*c^3*d*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*d*x^3 + 3*pi*b^3*c^3*d*x^3*log(abs(F))^2 + 6*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*c^2*d*x^2*log(abs(F)) - 6*pi*b*c*d*x*sgn(F) + 6*pi*b*c*d*x)*(pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^2) + 4*(3*pi^2*b^3*c^3*d*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*d*x^3*log(abs(F)) + 2*b^3*c^3*d*x^3*log(abs(F))^3 - 3*pi^2*b^2*c^2*d*x^2*sgn(F) + 3*pi^2*b^2*c^2*d*x^2 - 6*b^2*c^2*d*x^2*log(abs(F))^2 + 12*b*c*d*x*log(abs(F)) - 12*d)*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 3) - 1/2*I*((32*pi^3*b^3*c^3*d*x^3*sgn(F) + 96*I*pi^2*b^3*c^3*d*x^3*log(abs(F))*sgn(F) - 96*pi*b^3*c^3*d*x^3*log(abs(F))^2*sgn(F) - 32*pi^3*b^3*c^3*d*x^3 - 96*I*pi^2*b^3*c^3*d*x^3*log(abs(F)) + 96*pi*b^3*c^3*d*x^3*log(abs(F))^2 + 64*I*b^3*c^3*d*x^3*log(abs(F))^3 - 96*I*pi^2*b^2*c^2*d*x^2*sgn(F) + 192*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) + 96*I*pi^2*b^2*c^2*d*x^2 - 192*pi*b^2*c^2*d*x^2*log(abs(F)) - 192*I*b^2*c^2*d*x^2*log(abs(F))^2 - 192*pi*b*c*d*x*sgn(F) + 192*pi*b*c*d*x + 384*I*b*c*d*x*log(abs(F)) - 384*I*d)*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)/(8*pi^4*b^4*c^4*sgn(F) + 32*I*pi^3*b^4*c^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - 32*I*pi*b^4*c^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*c^4 - 32*I*pi^3*b^4*c^4*log(abs(F)) + 48*pi^2*b^4*c^4*log(abs(F))^2 + 32*I*pi*b^4*c^4*log(abs(F))^3 - 16*b^4*c^4*log(abs(F))^4) + (32*pi^3*b^3*c^3*d*x^3*sgn(F) - 96*I*pi^2*b^3*c^3*d*x^3*log(abs(F))*sgn(F) - 96*pi*b^3*c^3*d*x^3*log(abs(F))^2*sgn(F) - 32*pi^3*b^3*c^3*d*x^3 + 96*I*pi^2*b^3*c^3*d*x^3*log(abs(F)) + 96*pi*b^3*c^3*d*x^3*log(abs(F))^2 - 64*I*b^3*c^3*d*x^3*log(abs(F))^3 + 96*I*pi^2*b^2*c^2*d*x^2*sgn(F) + 192*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - 96*I*pi^2*b^2*c^2*d*x^2 - 192*pi*b^2*c^2*d*x^2*log(abs(F)) + 192*I*b^2*c^2*d*x^2*log(abs(F))^2 - 192*pi*b*c*d*x*sgn(F) + 192*pi*b*c*d*x - 384*I*b*c*d*x*log(abs(F)) + 384*I*d)*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)/(8*pi^4*b^4*c^4*sgn(F) - 32*I*pi^3*b^4*c^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) + 32*I*pi*b^4*c^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*c^4 + 32*I*pi^3*b^4*c^4*log(abs(F)) + 48*pi^2*b^4*c^4*log(abs(F))^2 - 32*I*pi*b^4*c^4*log(abs(F))^3 - 16*b^4*c^4*log(abs(F))^4))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 3) - 6*((2*(pi*b^2*c^2*d^2*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*d^2*x^2*log(abs(F)) - pi*b*c*d^2*x*sgn(F) + pi*b*c*d^2*x)*(pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) - (pi^2*b^2*c^2*d^2*x^2*sgn(F) - pi^2*b^2*c^2*d^2*x^2 + 2*b^2*c^2*d^2*x^2*log(abs(F))^2 - 4*b*c*d^2*x*log(abs(F)) + 4*d^2)*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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) - ((pi^2*b^2*c^2*d^2*x^2*sgn(F) - pi^2*b^2*c^2*d^2*x^2 + 2*b^2*c^2*d^2*x^2*log(abs(F))^2 - 4*b*c*d^2*x*log(abs(F)) + 4*d^2)*(pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) + 2*(pi*b^2*c^2*d^2*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*d^2*x^2*log(abs(F)) - pi*b*c*d^2*x*sgn(F) + pi*b*c*d^2*x)*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 1/2*I*((24*I*pi^2*b^2*c^2*d^2*x^2*sgn(F) - 48*pi*b^2*c^2*d^2*x^2*log(abs(F))*sgn(F) - 24*I*pi^2*b^2*c^2*d^2*x^2 + 48*pi*b^2*c^2*d^2*x^2*log(abs(F)) + 48*I*b^2*c^2*d^2*x^2*log(abs(F))^2 + 48*pi*b*c*d^2*x*sgn(F) - 48*pi*b*c*d^2*x - 96*I*b*c*d^2*x*log(abs(F)) + 96*I*d^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)/(-4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) + 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) - 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3) - (24*I*pi^2*b^2*c^2*d^2*x^2*sgn(F) + 48*pi*b^2*c^2*d^2*x^2*log(abs(F))*sgn(F) - 24*I*pi^2*b^2*c^2*d^2*x^2 - 48*pi*b^2*c^2*d^2*x^2*log(abs(F)) + 48*I*b^2*c^2*d^2*x^2*log(abs(F))^2 - 48*pi*b*c*d^2*x*sgn(F) + 48*pi*b*c*d^2*x - 96*I*b*c*d^2*x*log(abs(F)) + 96*I*d^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)/(4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) + 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 4*(2*((b*c*d^3*x*log(abs(F)) - d^3)*(pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) + (pi*b*c*d^3*x*sgn(F) - pi*b*c*d^3*x)*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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) + ((pi*b*c*d^3*x*sgn(F) - pi*b*c*d^3*x)*(pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) - 4*(b*c*d^3*x*log(abs(F)) - d^3)*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - 1/2*I*((8*pi*b*c*d^3*x*sgn(F) - 8*pi*b*c*d^3*x - 16*I*b*c*d^3*x*log(abs(F)) + 16*I*d^3)*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*pi^2*b^2*c^2*sgn(F) + 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 - 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2) + (8*pi*b*c*d^3*x*sgn(F) - 8*pi*b*c*d^3*x + 16*I*b*c*d^3*x*log(abs(F)) - 16*I*d^3)*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*pi^2*b^2*c^2*sgn(F) - 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 + 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) + 2*(2*b*c*d^4*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)*d^4*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*d^4*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*d^4*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
3,1,4693,0,1.570701," ","integrate(F^(c*(b*x+a))*(e*x+d)^3,x, algorithm=""giac"")","{\left({\left(\frac{4 \, {\left(\pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} x^{3} + 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b c x \mathrm{sgn}\left(F\right) + 6 \, \pi b c x\right)} {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)} {\left(3 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} c^{2} x^{2} - 6 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b c x \log\left({\left| F \right|}\right) - 12\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\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\right) + {\left(\frac{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)} {\left(\pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} x^{3} + 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b c x \mathrm{sgn}\left(F\right) + 6 \, \pi b c x\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{4 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)} {\left(3 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} c^{2} x^{2} - 6 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b c x \log\left({\left| F \right|}\right) - 12\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 3\right)} - \frac{1}{2} i \, {\left(\frac{{\left(8 \, \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} c^{3} x^{3} - 24 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 16 i \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 24 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{2} c^{2} x^{2} - 48 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) - 48 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b c x \mathrm{sgn}\left(F\right) + 48 \, \pi b c x + 96 i \, b c x \log\left({\left| F \right|}\right) - 96 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\right)}}{8 \, \pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) + 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} c^{4} - 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} + 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}} + \frac{{\left(8 \, \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} c^{3} x^{3} + 24 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 16 i \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} + 24 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{2} c^{2} x^{2} - 48 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 48 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b c x \mathrm{sgn}\left(F\right) + 48 \, \pi b c x - 96 i \, b c x \log\left({\left| F \right|}\right) + 96 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\right)}}{8 \, \pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} c^{4} + 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 3\right)} + 3 \, {\left({\left(\frac{{\left(\pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} d x^{2} + 2 \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c d x \log\left({\left| F \right|}\right) + 4 \, d\right)} {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{2 \, {\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) - \pi b c d x \mathrm{sgn}\left(F\right) + \pi b c d x\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right) + {\left(\frac{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} d x^{2} + 2 \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c d x \log\left({\left| F \right|}\right) + 4 \, d\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) - \pi b c d x \mathrm{sgn}\left(F\right) + \pi b c d x\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + \frac{1}{2} i \, {\left(\frac{{\left(12 i \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) - 24 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi^{2} b^{2} c^{2} d x^{2} + 24 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) + 24 i \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} + 24 \, \pi b c d x \mathrm{sgn}\left(F\right) - 24 \, \pi b c d x - 48 i \, b c d x \log\left({\left| F \right|}\right) + 48 i \, d\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\right)}}{-4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(12 i \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) + 24 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi^{2} b^{2} c^{2} d x^{2} - 24 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) + 24 i \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} - 24 \, \pi b c d x \mathrm{sgn}\left(F\right) + 24 \, \pi b c d x - 48 i \, b c d x \log\left({\left| F \right|}\right) + 48 i \, d\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\right)}}{4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + 3 \, {\left(2 \, {\left(\frac{{\left(\pi b c d^{2} x \mathrm{sgn}\left(F\right) - \pi b c d^{2} x\right)} {\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)\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}\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)\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}\right)} {\left(b c d^{2} x \log\left({\left| F \right|}\right) - d^{2}\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}\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)\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\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}\right)} {\left(\pi b c d^{2} x \mathrm{sgn}\left(F\right) - \pi b c d^{2} x\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}\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)\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)\right)} {\left(b c d^{2} x \log\left({\left| F \right|}\right) - d^{2}\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}\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)\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\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(6 \, \pi b c d^{2} x \mathrm{sgn}\left(F\right) - 6 \, \pi b c d^{2} x - 12 i \, b c d^{2} x \log\left({\left| F \right|}\right) + 12 i \, d^{2}\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(6 \, \pi b c d^{2} x \mathrm{sgn}\left(F\right) - 6 \, \pi b c d^{2} x + 12 i \, b c d^{2} x \log\left({\left| F \right|}\right) - 12 i \, d^{2}\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} + 2 \, {\left(\frac{2 \, b c d^{3} \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)} d^{3} \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 \, d^{3} 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 \, d^{3} 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,"((4*(pi^3*b^3*c^3*x^3*sgn(F) - 3*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*x^3 + 3*pi*b^3*c^3*x^3*log(abs(F))^2 + 6*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*c^2*x^2*log(abs(F)) - 6*pi*b*c*x*sgn(F) + 6*pi*b*c*x)*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^2) - (pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)*(3*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*x^3*log(abs(F)) + 2*b^3*c^3*x^3*log(abs(F))^3 - 3*pi^2*b^2*c^2*x^2*sgn(F) + 3*pi^2*b^2*c^2*x^2 - 6*b^2*c^2*x^2*log(abs(F))^2 + 12*b*c*x*log(abs(F)) - 12)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^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) + ((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)*(pi^3*b^3*c^3*x^3*sgn(F) - 3*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*x^3 + 3*pi*b^3*c^3*x^3*log(abs(F))^2 + 6*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*c^2*x^2*log(abs(F)) - 6*pi*b*c*x*sgn(F) + 6*pi*b*c*x)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^2) + 4*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)*(3*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*x^3*log(abs(F)) + 2*b^3*c^3*x^3*log(abs(F))^3 - 3*pi^2*b^2*c^2*x^2*sgn(F) + 3*pi^2*b^2*c^2*x^2 - 6*b^2*c^2*x^2*log(abs(F))^2 + 12*b*c*x*log(abs(F)) - 12)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 3) - 1/2*I*((8*pi^3*b^3*c^3*x^3*sgn(F) + 24*I*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 24*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*c^3*x^3 - 24*I*pi^2*b^3*c^3*x^3*log(abs(F)) + 24*pi*b^3*c^3*x^3*log(abs(F))^2 + 16*I*b^3*c^3*x^3*log(abs(F))^3 - 24*I*pi^2*b^2*c^2*x^2*sgn(F) + 48*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) + 24*I*pi^2*b^2*c^2*x^2 - 48*pi*b^2*c^2*x^2*log(abs(F)) - 48*I*b^2*c^2*x^2*log(abs(F))^2 - 48*pi*b*c*x*sgn(F) + 48*pi*b*c*x + 96*I*b*c*x*log(abs(F)) - 96*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)/(8*pi^4*b^4*c^4*sgn(F) + 32*I*pi^3*b^4*c^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - 32*I*pi*b^4*c^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*c^4 - 32*I*pi^3*b^4*c^4*log(abs(F)) + 48*pi^2*b^4*c^4*log(abs(F))^2 + 32*I*pi*b^4*c^4*log(abs(F))^3 - 16*b^4*c^4*log(abs(F))^4) + (8*pi^3*b^3*c^3*x^3*sgn(F) - 24*I*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 24*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*c^3*x^3 + 24*I*pi^2*b^3*c^3*x^3*log(abs(F)) + 24*pi*b^3*c^3*x^3*log(abs(F))^2 - 16*I*b^3*c^3*x^3*log(abs(F))^3 + 24*I*pi^2*b^2*c^2*x^2*sgn(F) + 48*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 24*I*pi^2*b^2*c^2*x^2 - 48*pi*b^2*c^2*x^2*log(abs(F)) + 48*I*b^2*c^2*x^2*log(abs(F))^2 - 48*pi*b*c*x*sgn(F) + 48*pi*b*c*x - 96*I*b*c*x*log(abs(F)) + 96*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)/(8*pi^4*b^4*c^4*sgn(F) - 32*I*pi^3*b^4*c^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) + 32*I*pi*b^4*c^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*c^4 + 32*I*pi^3*b^4*c^4*log(abs(F)) + 48*pi^2*b^4*c^4*log(abs(F))^2 - 32*I*pi*b^4*c^4*log(abs(F))^3 - 16*b^4*c^4*log(abs(F))^4))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 3) + 3*(((pi^2*b^2*c^2*d*x^2*sgn(F) - pi^2*b^2*c^2*d*x^2 + 2*b^2*c^2*d*x^2*log(abs(F))^2 - 4*b*c*d*x*log(abs(F)) + 4*d)*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) - 2*(pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)*(pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*d*x^2*log(abs(F)) - pi*b*c*d*x*sgn(F) + pi*b*c*d*x)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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) + ((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)*(pi^2*b^2*c^2*d*x^2*sgn(F) - pi^2*b^2*c^2*d*x^2 + 2*b^2*c^2*d*x^2*log(abs(F))^2 - 4*b*c*d*x*log(abs(F)) + 4*d)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) + 2*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)*(pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*d*x^2*log(abs(F)) - pi*b*c*d*x*sgn(F) + pi*b*c*d*x)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 1/2*I*((12*I*pi^2*b^2*c^2*d*x^2*sgn(F) - 24*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - 12*I*pi^2*b^2*c^2*d*x^2 + 24*pi*b^2*c^2*d*x^2*log(abs(F)) + 24*I*b^2*c^2*d*x^2*log(abs(F))^2 + 24*pi*b*c*d*x*sgn(F) - 24*pi*b*c*d*x - 48*I*b*c*d*x*log(abs(F)) + 48*I*d)*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)/(-4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) + 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) - 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3) - (12*I*pi^2*b^2*c^2*d*x^2*sgn(F) + 24*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - 12*I*pi^2*b^2*c^2*d*x^2 - 24*pi*b^2*c^2*d*x^2*log(abs(F)) + 24*I*b^2*c^2*d*x^2*log(abs(F))^2 - 24*pi*b*c*d*x*sgn(F) + 24*pi*b*c*d*x - 48*I*b*c*d*x*log(abs(F)) + 48*I*d)*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)/(4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) + 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 3*(2*((pi*b*c*d^2*x*sgn(F) - pi*b*c*d^2*x)*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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)*(b*c*d^2*x*log(abs(F)) - d^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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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) + ((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)*(pi*b*c*d^2*x*sgn(F) - pi*b*c*d^2*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) - 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))*(b*c*d^2*x*log(abs(F)) - d^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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - 1/2*I*((6*pi*b*c*d^2*x*sgn(F) - 6*pi*b*c*d^2*x - 12*I*b*c*d^2*x*log(abs(F)) + 12*I*d^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*pi^2*b^2*c^2*sgn(F) + 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 - 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2) + (6*pi*b*c*d^2*x*sgn(F) - 6*pi*b*c*d^2*x + 12*I*b*c*d^2*x*log(abs(F)) - 12*I*d^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*pi^2*b^2*c^2*sgn(F) - 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 + 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) + 2*(2*b*c*d^3*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)*d^3*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*d^3*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*d^3*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
4,1,2494,0,0.909574," ","integrate(F^(c*(b*x+a))*(e*x+d)^2,x, algorithm=""giac"")","{\left({\left(\frac{{\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} x^{2} + 2 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c x \log\left({\left| F \right|}\right) + 4\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{2 \, {\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b c x \mathrm{sgn}\left(F\right) + \pi b c x\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right) + {\left(\frac{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} x^{2} + 2 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c x \log\left({\left| F \right|}\right) + 4\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b c x \mathrm{sgn}\left(F\right) + \pi b c x\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + \frac{1}{2} i \, {\left(\frac{{\left(4 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} c^{2} x^{2} + 8 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 8 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b c x \mathrm{sgn}\left(F\right) - 8 \, \pi b c x - 16 i \, b c x \log\left({\left| F \right|}\right) + 16 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\right)}}{-4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(4 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 8 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} c^{2} x^{2} - 8 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 8 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b c x \mathrm{sgn}\left(F\right) + 8 \, \pi b c x - 16 i \, b c x \log\left({\left| F \right|}\right) + 16 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\right)}}{4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + 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)\right)} {\left(\pi b c d x \mathrm{sgn}\left(F\right) - \pi b c d x\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}\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)\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}\right)} {\left(b c d x \log\left({\left| F \right|}\right) - d\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}\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)\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\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}\right)} {\left(\pi b c d x \mathrm{sgn}\left(F\right) - \pi b c d x\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}\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)\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)\right)} {\left(b c d x \log\left({\left| F \right|}\right) - d\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}\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)\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\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(4 \, \pi b c d x \mathrm{sgn}\left(F\right) - 4 \, \pi b c d x - 8 i \, b c d x \log\left({\left| F \right|}\right) + 8 i \, d\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(4 \, \pi b c d x \mathrm{sgn}\left(F\right) - 4 \, \pi b c d x + 8 i \, b c d x \log\left({\left| F \right|}\right) - 8 i \, d\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} + 2 \, {\left(\frac{2 \, b c d^{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)} d^{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 \, d^{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 \, d^{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,"(((3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)*(pi^2*b^2*c^2*x^2*sgn(F) - pi^2*b^2*c^2*x^2 + 2*b^2*c^2*x^2*log(abs(F))^2 - 4*b*c*x*log(abs(F)) + 4)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) - 2*(pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)*(pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*x^2*log(abs(F)) - pi*b*c*x*sgn(F) + pi*b*c*x)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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) + ((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)*(pi^2*b^2*c^2*x^2*sgn(F) - pi^2*b^2*c^2*x^2 + 2*b^2*c^2*x^2*log(abs(F))^2 - 4*b*c*x*log(abs(F)) + 4)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) + 2*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)*(pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*x^2*log(abs(F)) - pi*b*c*x*sgn(F) + pi*b*c*x)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 1/2*I*((4*I*pi^2*b^2*c^2*x^2*sgn(F) - 8*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*c^2*x^2 + 8*pi*b^2*c^2*x^2*log(abs(F)) + 8*I*b^2*c^2*x^2*log(abs(F))^2 + 8*pi*b*c*x*sgn(F) - 8*pi*b*c*x - 16*I*b*c*x*log(abs(F)) + 16*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)/(-4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) + 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) - 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3) - (4*I*pi^2*b^2*c^2*x^2*sgn(F) + 8*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*c^2*x^2 - 8*pi*b^2*c^2*x^2*log(abs(F)) + 8*I*b^2*c^2*x^2*log(abs(F))^2 - 8*pi*b*c*x*sgn(F) + 8*pi*b*c*x - 16*I*b*c*x*log(abs(F)) + 16*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)/(4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) + 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 2*(2*((pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))*(pi*b*c*d*x*sgn(F) - pi*b*c*d*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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)*(b*c*d*x*log(abs(F)) - 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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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) + ((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)*(pi*b*c*d*x*sgn(F) - pi*b*c*d*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) - 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))*(b*c*d*x*log(abs(F)) - 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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - 1/2*I*((4*pi*b*c*d*x*sgn(F) - 4*pi*b*c*d*x - 8*I*b*c*d*x*log(abs(F)) + 8*I*d)*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*pi^2*b^2*c^2*sgn(F) + 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 - 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2) + (4*pi*b*c*d*x*sgn(F) - 4*pi*b*c*d*x + 8*I*b*c*d*x*log(abs(F)) - 8*I*d)*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*pi^2*b^2*c^2*sgn(F) - 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 + 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) + 2*(2*b*c*d^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)*d^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*d^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*d^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
5,1,1083,0,0.670258," ","integrate(F^(c*(b*x+a))*(e*x+d),x, algorithm=""giac"")","{\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)\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x\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}\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)\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}\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}\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)\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\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}\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x\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}\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)\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)\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}\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)\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\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 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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{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 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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} + 2 \, {\left(\frac{2 \, b c d \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)} d \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 \, d 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 \, d 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*((pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))*(pi*b*c*x*sgn(F) - pi*b*c*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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)*(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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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) + ((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)*(pi*b*c*x*sgn(F) - pi*b*c*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) - 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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))*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*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*pi^2*b^2*c^2*sgn(F) + 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 - 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2) + (2*pi*b*c*x*sgn(F) - 2*pi*b*c*x + 4*I*b*c*x*log(abs(F)) - 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)/(2*pi^2*b^2*c^2*sgn(F) - 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 + 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) + 2*(2*b*c*d*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)*d*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*d*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*d*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
6,1,21,0,0.313704," ","integrate(F^(c*(b*x+a)),x, algorithm=""giac"")","\frac{F^{b c x + a c}}{b c \log\left(F\right)}"," ",0,"F^(b*c*x + a*c)/(b*c*log(F))","A",0
7,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e*x+d),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{e x + d}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e*x + d), x)","F",0
8,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e*x + d)^2, x)","F",0
9,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e*x + d)^3, x)","F",0
10,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e*x + d)^4, x)","F",0
11,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e*x+d)^5,x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(e x + d\right)}^{5}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e*x + d)^5, x)","F",0
12,1,7867,0,1.603641," ","integrate(F^(c*(b*x+a))*(e^4*x^4+4*d*e^3*x^3+6*d^2*e^2*x^2+4*d^3*e*x+d^4),x, algorithm=""giac"")","-{\left({\left(\frac{4 \, {\left(\pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} - \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + \pi^{3} b^{3} c^{3} x^{3} - 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 6 \, \pi b c x \mathrm{sgn}\left(F\right) - 6 \, \pi b c x\right)} {\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} - \frac{{\left(\pi^{4} b^{4} c^{4} x^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} x^{4} + 6 \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{4} + 12 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 8 \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 12 \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{2} c^{2} x^{2} - 24 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 48 \, b c x \log\left({\left| F \right|}\right) - 48\right)} {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\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\right) - {\left(\frac{{\left(\pi^{4} b^{4} c^{4} x^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} x^{4} + 6 \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{4} + 12 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 8 \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 12 \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{2} c^{2} x^{2} - 24 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 48 \, b c x \log\left({\left| F \right|}\right) - 48\right)} {\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} + \frac{4 \, {\left(\pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} - \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + \pi^{3} b^{3} c^{3} x^{3} - 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 6 \, \pi b c x \mathrm{sgn}\left(F\right) - 6 \, \pi b c x\right)} {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 4\right)} + \frac{1}{2} i \, {\left(\frac{{\left(-16 i \, \pi^{4} b^{4} c^{4} x^{4} \mathrm{sgn}\left(F\right) + 64 \, \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 64 \, \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} x^{4} - 64 \, \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} + 64 \, \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{4} - 64 \, \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 192 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 64 \, \pi^{3} b^{3} c^{3} x^{3} + 192 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) - 192 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 128 i \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} + 192 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) - 384 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{2} c^{2} x^{2} + 384 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 384 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 384 \, \pi b c x \mathrm{sgn}\left(F\right) - 384 \, \pi b c x - 768 i \, b c x \log\left({\left| F \right|}\right) + 768 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\right)}}{16 i \, \pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - 16 i \, \pi^{5} b^{5} c^{5} + 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} + 32 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}} - \frac{{\left(-16 i \, \pi^{4} b^{4} c^{4} x^{4} \mathrm{sgn}\left(F\right) - 64 \, \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 64 \, \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} x^{4} + 64 \, \pi^{3} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{2} - 64 \, \pi b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} x^{4} \log\left({\left| F \right|}\right)^{4} + 64 \, \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 64 \, \pi^{3} b^{3} c^{3} x^{3} + 192 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 192 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 128 i \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} + 192 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 384 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{2} c^{2} x^{2} - 384 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 384 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 384 \, \pi b c x \mathrm{sgn}\left(F\right) + 384 \, \pi b c x - 768 i \, b c x \log\left({\left| F \right|}\right) + 768 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\right)}}{-16 i \, \pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{5} b^{5} c^{5} + 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) - 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} + 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} + 32 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 4\right)} - 4 \, {\left({\left(\frac{{\left(3 \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} c^{2} d x^{2} - 6 \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b c d x \log\left({\left| F \right|}\right) - 12 \, d\right)} {\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{4 \, {\left(\pi^{3} b^{3} c^{3} d x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} d x^{3} + 3 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b c d x \mathrm{sgn}\left(F\right) + 6 \, \pi b c d x\right)} {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\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\right) - {\left(\frac{{\left(\pi^{3} b^{3} c^{3} d x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} d x^{3} + 3 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b c d x \mathrm{sgn}\left(F\right) + 6 \, \pi b c d x\right)} {\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{4 \, {\left(3 \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} c^{2} d x^{2} - 6 \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b c d x \log\left({\left| F \right|}\right) - 12 \, d\right)} {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 3\right)} - \frac{1}{2} i \, {\left(\frac{{\left(32 \, \pi^{3} b^{3} c^{3} d x^{3} \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 96 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 \, \pi^{3} b^{3} c^{3} d x^{3} - 96 i \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) + 96 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} + 64 i \, b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{3} - 96 i \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) + 192 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{2} c^{2} d x^{2} - 192 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) - 192 i \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} - 192 \, \pi b c d x \mathrm{sgn}\left(F\right) + 192 \, \pi b c d x + 384 i \, b c d x \log\left({\left| F \right|}\right) - 384 i \, d\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\right)}}{8 \, \pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) + 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} c^{4} - 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} + 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}} + \frac{{\left(32 \, \pi^{3} b^{3} c^{3} d x^{3} \mathrm{sgn}\left(F\right) - 96 i \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 96 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 \, \pi^{3} b^{3} c^{3} d x^{3} + 96 i \, \pi^{2} b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right) + 96 \, \pi b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{2} - 64 i \, b^{3} c^{3} d x^{3} \log\left({\left| F \right|}\right)^{3} + 96 i \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) + 192 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 96 i \, \pi^{2} b^{2} c^{2} d x^{2} - 192 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) + 192 i \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} - 192 \, \pi b c d x \mathrm{sgn}\left(F\right) + 192 \, \pi b c d x - 384 i \, b c d x \log\left({\left| F \right|}\right) + 384 i \, d\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\right)}}{8 \, \pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} c^{4} + 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 3\right)} - 6 \, {\left({\left(\frac{2 \, {\left(\pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b c d^{2} x \mathrm{sgn}\left(F\right) + \pi b c d^{2} x\right)} {\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{2} b^{2} c^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} d^{2} x^{2} + 2 \, b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c d^{2} x \log\left({\left| F \right|}\right) + 4 \, d^{2}\right)} {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right) - {\left(\frac{{\left(\pi^{2} b^{2} c^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} d^{2} x^{2} + 2 \, b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c d^{2} x \log\left({\left| F \right|}\right) + 4 \, d^{2}\right)} {\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(\pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b c d^{2} x \mathrm{sgn}\left(F\right) + \pi b c d^{2} x\right)} {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + \frac{1}{2} i \, {\left(\frac{{\left(24 i \, \pi^{2} b^{2} c^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) - 48 \, \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{2} c^{2} d^{2} x^{2} + 48 \, \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) + 48 i \, b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 48 \, \pi b c d^{2} x \mathrm{sgn}\left(F\right) - 48 \, \pi b c d^{2} x - 96 i \, b c d^{2} x \log\left({\left| F \right|}\right) + 96 i \, d^{2}\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\right)}}{-4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(24 i \, \pi^{2} b^{2} c^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{2} c^{2} d^{2} x^{2} - 48 \, \pi b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) + 48 i \, b^{2} c^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b c d^{2} x \mathrm{sgn}\left(F\right) + 48 \, \pi b c d^{2} x - 96 i \, b c d^{2} x \log\left({\left| F \right|}\right) + 96 i \, d^{2}\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\right)}}{4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + 4 \, {\left(2 \, {\left(\frac{{\left(b c d^{3} x \log\left({\left| F \right|}\right) - d^{3}\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}\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}\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)\right)}^{2}} + \frac{{\left(\pi b c d^{3} x \mathrm{sgn}\left(F\right) - \pi b c d^{3} x\right)} {\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)\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}\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)\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\right) + {\left(\frac{{\left(\pi b c d^{3} x \mathrm{sgn}\left(F\right) - \pi b c d^{3} x\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}\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}\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)\right)}^{2}} - \frac{4 \, {\left(b c d^{3} x \log\left({\left| F \right|}\right) - d^{3}\right)} {\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)\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}\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)\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\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(8 \, \pi b c d^{3} x \mathrm{sgn}\left(F\right) - 8 \, \pi b c d^{3} x - 16 i \, b c d^{3} x \log\left({\left| F \right|}\right) + 16 i \, d^{3}\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(8 \, \pi b c d^{3} x \mathrm{sgn}\left(F\right) - 8 \, \pi b c d^{3} x + 16 i \, b c d^{3} x \log\left({\left| F \right|}\right) - 16 i \, d^{3}\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} + 2 \, {\left(\frac{2 \, b c d^{4} \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)} d^{4} \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 \, d^{4} 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 \, d^{4} 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,"-((4*(pi^3*b^4*c^4*x^4*log(abs(F))*sgn(F) - pi*b^4*c^4*x^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*x^4*log(abs(F)) + pi*b^4*c^4*x^4*log(abs(F))^3 - pi^3*b^3*c^3*x^3*sgn(F) + 3*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) + pi^3*b^3*c^3*x^3 - 3*pi*b^3*c^3*x^3*log(abs(F))^2 - 6*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) + 6*pi*b^2*c^2*x^2*log(abs(F)) + 6*pi*b*c*x*sgn(F) - 6*pi*b*c*x)*(pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^2) - (pi^4*b^4*c^4*x^4*sgn(F) - 6*pi^2*b^4*c^4*x^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*x^4 + 6*pi^2*b^4*c^4*x^4*log(abs(F))^2 - 2*b^4*c^4*x^4*log(abs(F))^4 + 12*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 12*pi^2*b^3*c^3*x^3*log(abs(F)) + 8*b^3*c^3*x^3*log(abs(F))^3 - 12*pi^2*b^2*c^2*x^2*sgn(F) + 12*pi^2*b^2*c^2*x^2 - 24*b^2*c^2*x^2*log(abs(F))^2 + 48*b*c*x*log(abs(F)) - 48)*(5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^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) - ((pi^4*b^4*c^4*x^4*sgn(F) - 6*pi^2*b^4*c^4*x^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*x^4 + 6*pi^2*b^4*c^4*x^4*log(abs(F))^2 - 2*b^4*c^4*x^4*log(abs(F))^4 + 12*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 12*pi^2*b^3*c^3*x^3*log(abs(F)) + 8*b^3*c^3*x^3*log(abs(F))^3 - 12*pi^2*b^2*c^2*x^2*sgn(F) + 12*pi^2*b^2*c^2*x^2 - 24*b^2*c^2*x^2*log(abs(F))^2 + 48*b*c*x*log(abs(F)) - 48)*(pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^2) + 4*(pi^3*b^4*c^4*x^4*log(abs(F))*sgn(F) - pi*b^4*c^4*x^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*x^4*log(abs(F)) + pi*b^4*c^4*x^4*log(abs(F))^3 - pi^3*b^3*c^3*x^3*sgn(F) + 3*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) + pi^3*b^3*c^3*x^3 - 3*pi*b^3*c^3*x^3*log(abs(F))^2 - 6*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) + 6*pi*b^2*c^2*x^2*log(abs(F)) + 6*pi*b*c*x*sgn(F) - 6*pi*b*c*x)*(5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 4) + 1/2*I*((-16*I*pi^4*b^4*c^4*x^4*sgn(F) + 64*pi^3*b^4*c^4*x^4*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*x^4*log(abs(F))^2*sgn(F) - 64*pi*b^4*c^4*x^4*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*x^4 - 64*pi^3*b^4*c^4*x^4*log(abs(F)) - 96*I*pi^2*b^4*c^4*x^4*log(abs(F))^2 + 64*pi*b^4*c^4*x^4*log(abs(F))^3 + 32*I*b^4*c^4*x^4*log(abs(F))^4 - 64*pi^3*b^3*c^3*x^3*sgn(F) - 192*I*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) + 192*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) + 64*pi^3*b^3*c^3*x^3 + 192*I*pi^2*b^3*c^3*x^3*log(abs(F)) - 192*pi*b^3*c^3*x^3*log(abs(F))^2 - 128*I*b^3*c^3*x^3*log(abs(F))^3 + 192*I*pi^2*b^2*c^2*x^2*sgn(F) - 384*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 192*I*pi^2*b^2*c^2*x^2 + 384*pi*b^2*c^2*x^2*log(abs(F)) + 384*I*b^2*c^2*x^2*log(abs(F))^2 + 384*pi*b*c*x*sgn(F) - 384*pi*b*c*x - 768*I*b*c*x*log(abs(F)) + 768*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)/(16*I*pi^5*b^5*c^5*sgn(F) - 80*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 160*I*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 160*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) + 80*I*pi*b^5*c^5*log(abs(F))^4*sgn(F) - 16*I*pi^5*b^5*c^5 + 80*pi^4*b^5*c^5*log(abs(F)) + 160*I*pi^3*b^5*c^5*log(abs(F))^2 - 160*pi^2*b^5*c^5*log(abs(F))^3 - 80*I*pi*b^5*c^5*log(abs(F))^4 + 32*b^5*c^5*log(abs(F))^5) - (-16*I*pi^4*b^4*c^4*x^4*sgn(F) - 64*pi^3*b^4*c^4*x^4*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*x^4*log(abs(F))^2*sgn(F) + 64*pi*b^4*c^4*x^4*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*x^4 + 64*pi^3*b^4*c^4*x^4*log(abs(F)) - 96*I*pi^2*b^4*c^4*x^4*log(abs(F))^2 - 64*pi*b^4*c^4*x^4*log(abs(F))^3 + 32*I*b^4*c^4*x^4*log(abs(F))^4 + 64*pi^3*b^3*c^3*x^3*sgn(F) - 192*I*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 192*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) - 64*pi^3*b^3*c^3*x^3 + 192*I*pi^2*b^3*c^3*x^3*log(abs(F)) + 192*pi*b^3*c^3*x^3*log(abs(F))^2 - 128*I*b^3*c^3*x^3*log(abs(F))^3 + 192*I*pi^2*b^2*c^2*x^2*sgn(F) + 384*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 192*I*pi^2*b^2*c^2*x^2 - 384*pi*b^2*c^2*x^2*log(abs(F)) + 384*I*b^2*c^2*x^2*log(abs(F))^2 - 384*pi*b*c*x*sgn(F) + 384*pi*b*c*x - 768*I*b*c*x*log(abs(F)) + 768*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)/(-16*I*pi^5*b^5*c^5*sgn(F) - 80*pi^4*b^5*c^5*log(abs(F))*sgn(F) + 160*I*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 160*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 80*I*pi*b^5*c^5*log(abs(F))^4*sgn(F) + 16*I*pi^5*b^5*c^5 + 80*pi^4*b^5*c^5*log(abs(F)) - 160*I*pi^3*b^5*c^5*log(abs(F))^2 - 160*pi^2*b^5*c^5*log(abs(F))^3 + 80*I*pi*b^5*c^5*log(abs(F))^4 + 32*b^5*c^5*log(abs(F))^5))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 4) - 4*(((3*pi^2*b^3*c^3*d*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*d*x^3*log(abs(F)) + 2*b^3*c^3*d*x^3*log(abs(F))^3 - 3*pi^2*b^2*c^2*d*x^2*sgn(F) + 3*pi^2*b^2*c^2*d*x^2 - 6*b^2*c^2*d*x^2*log(abs(F))^2 + 12*b*c*d*x*log(abs(F)) - 12*d)*(pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^2) - 4*(pi^3*b^3*c^3*d*x^3*sgn(F) - 3*pi*b^3*c^3*d*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*d*x^3 + 3*pi*b^3*c^3*d*x^3*log(abs(F))^2 + 6*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*c^2*d*x^2*log(abs(F)) - 6*pi*b*c*d*x*sgn(F) + 6*pi*b*c*d*x)*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^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) - ((pi^3*b^3*c^3*d*x^3*sgn(F) - 3*pi*b^3*c^3*d*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*d*x^3 + 3*pi*b^3*c^3*d*x^3*log(abs(F))^2 + 6*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*c^2*d*x^2*log(abs(F)) - 6*pi*b*c*d*x*sgn(F) + 6*pi*b*c*d*x)*(pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^2) + 4*(3*pi^2*b^3*c^3*d*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*d*x^3*log(abs(F)) + 2*b^3*c^3*d*x^3*log(abs(F))^3 - 3*pi^2*b^2*c^2*d*x^2*sgn(F) + 3*pi^2*b^2*c^2*d*x^2 - 6*b^2*c^2*d*x^2*log(abs(F))^2 + 12*b*c*d*x*log(abs(F)) - 12*d)*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 3) - 1/2*I*((32*pi^3*b^3*c^3*d*x^3*sgn(F) + 96*I*pi^2*b^3*c^3*d*x^3*log(abs(F))*sgn(F) - 96*pi*b^3*c^3*d*x^3*log(abs(F))^2*sgn(F) - 32*pi^3*b^3*c^3*d*x^3 - 96*I*pi^2*b^3*c^3*d*x^3*log(abs(F)) + 96*pi*b^3*c^3*d*x^3*log(abs(F))^2 + 64*I*b^3*c^3*d*x^3*log(abs(F))^3 - 96*I*pi^2*b^2*c^2*d*x^2*sgn(F) + 192*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) + 96*I*pi^2*b^2*c^2*d*x^2 - 192*pi*b^2*c^2*d*x^2*log(abs(F)) - 192*I*b^2*c^2*d*x^2*log(abs(F))^2 - 192*pi*b*c*d*x*sgn(F) + 192*pi*b*c*d*x + 384*I*b*c*d*x*log(abs(F)) - 384*I*d)*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)/(8*pi^4*b^4*c^4*sgn(F) + 32*I*pi^3*b^4*c^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - 32*I*pi*b^4*c^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*c^4 - 32*I*pi^3*b^4*c^4*log(abs(F)) + 48*pi^2*b^4*c^4*log(abs(F))^2 + 32*I*pi*b^4*c^4*log(abs(F))^3 - 16*b^4*c^4*log(abs(F))^4) + (32*pi^3*b^3*c^3*d*x^3*sgn(F) - 96*I*pi^2*b^3*c^3*d*x^3*log(abs(F))*sgn(F) - 96*pi*b^3*c^3*d*x^3*log(abs(F))^2*sgn(F) - 32*pi^3*b^3*c^3*d*x^3 + 96*I*pi^2*b^3*c^3*d*x^3*log(abs(F)) + 96*pi*b^3*c^3*d*x^3*log(abs(F))^2 - 64*I*b^3*c^3*d*x^3*log(abs(F))^3 + 96*I*pi^2*b^2*c^2*d*x^2*sgn(F) + 192*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - 96*I*pi^2*b^2*c^2*d*x^2 - 192*pi*b^2*c^2*d*x^2*log(abs(F)) + 192*I*b^2*c^2*d*x^2*log(abs(F))^2 - 192*pi*b*c*d*x*sgn(F) + 192*pi*b*c*d*x - 384*I*b*c*d*x*log(abs(F)) + 384*I*d)*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)/(8*pi^4*b^4*c^4*sgn(F) - 32*I*pi^3*b^4*c^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) + 32*I*pi*b^4*c^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*c^4 + 32*I*pi^3*b^4*c^4*log(abs(F)) + 48*pi^2*b^4*c^4*log(abs(F))^2 - 32*I*pi*b^4*c^4*log(abs(F))^3 - 16*b^4*c^4*log(abs(F))^4))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 3) - 6*((2*(pi*b^2*c^2*d^2*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*d^2*x^2*log(abs(F)) - pi*b*c*d^2*x*sgn(F) + pi*b*c*d^2*x)*(pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) - (pi^2*b^2*c^2*d^2*x^2*sgn(F) - pi^2*b^2*c^2*d^2*x^2 + 2*b^2*c^2*d^2*x^2*log(abs(F))^2 - 4*b*c*d^2*x*log(abs(F)) + 4*d^2)*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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) - ((pi^2*b^2*c^2*d^2*x^2*sgn(F) - pi^2*b^2*c^2*d^2*x^2 + 2*b^2*c^2*d^2*x^2*log(abs(F))^2 - 4*b*c*d^2*x*log(abs(F)) + 4*d^2)*(pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) + 2*(pi*b^2*c^2*d^2*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*d^2*x^2*log(abs(F)) - pi*b*c*d^2*x*sgn(F) + pi*b*c*d^2*x)*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 1/2*I*((24*I*pi^2*b^2*c^2*d^2*x^2*sgn(F) - 48*pi*b^2*c^2*d^2*x^2*log(abs(F))*sgn(F) - 24*I*pi^2*b^2*c^2*d^2*x^2 + 48*pi*b^2*c^2*d^2*x^2*log(abs(F)) + 48*I*b^2*c^2*d^2*x^2*log(abs(F))^2 + 48*pi*b*c*d^2*x*sgn(F) - 48*pi*b*c*d^2*x - 96*I*b*c*d^2*x*log(abs(F)) + 96*I*d^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)/(-4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) + 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) - 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3) - (24*I*pi^2*b^2*c^2*d^2*x^2*sgn(F) + 48*pi*b^2*c^2*d^2*x^2*log(abs(F))*sgn(F) - 24*I*pi^2*b^2*c^2*d^2*x^2 - 48*pi*b^2*c^2*d^2*x^2*log(abs(F)) + 48*I*b^2*c^2*d^2*x^2*log(abs(F))^2 - 48*pi*b*c*d^2*x*sgn(F) + 48*pi*b*c*d^2*x - 96*I*b*c*d^2*x*log(abs(F)) + 96*I*d^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)/(4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) + 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 4*(2*((b*c*d^3*x*log(abs(F)) - d^3)*(pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) + (pi*b*c*d^3*x*sgn(F) - pi*b*c*d^3*x)*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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) + ((pi*b*c*d^3*x*sgn(F) - pi*b*c*d^3*x)*(pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) - 4*(b*c*d^3*x*log(abs(F)) - d^3)*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - 1/2*I*((8*pi*b*c*d^3*x*sgn(F) - 8*pi*b*c*d^3*x - 16*I*b*c*d^3*x*log(abs(F)) + 16*I*d^3)*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*pi^2*b^2*c^2*sgn(F) + 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 - 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2) + (8*pi*b*c*d^3*x*sgn(F) - 8*pi*b*c*d^3*x + 16*I*b*c*d^3*x*log(abs(F)) - 16*I*d^3)*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*pi^2*b^2*c^2*sgn(F) - 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 + 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) + 2*(2*b*c*d^4*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)*d^4*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*d^4*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*d^4*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
13,1,4693,0,1.149854," ","integrate(F^(c*(b*x+a))*(e^3*x^3+3*d*e^2*x^2+3*d^2*e*x+d^3),x, algorithm=""giac"")","{\left({\left(\frac{4 \, {\left(\pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} x^{3} + 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b c x \mathrm{sgn}\left(F\right) + 6 \, \pi b c x\right)} {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)} {\left(3 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} c^{2} x^{2} - 6 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b c x \log\left({\left| F \right|}\right) - 12\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\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\right) + {\left(\frac{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)} {\left(\pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} x^{3} + 3 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b c x \mathrm{sgn}\left(F\right) + 6 \, \pi b c x\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{4 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)} {\left(3 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} c^{2} x^{2} - 6 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b c x \log\left({\left| F \right|}\right) - 12\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 3\right)} - \frac{1}{2} i \, {\left(\frac{{\left(8 \, \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} c^{3} x^{3} - 24 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 16 i \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 24 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{2} c^{2} x^{2} - 48 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) - 48 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b c x \mathrm{sgn}\left(F\right) + 48 \, \pi b c x + 96 i \, b c x \log\left({\left| F \right|}\right) - 96 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\right)}}{8 \, \pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) + 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} c^{4} - 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} + 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}} + \frac{{\left(8 \, \pi^{3} b^{3} c^{3} x^{3} \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} c^{3} x^{3} + 24 i \, \pi^{2} b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 16 i \, b^{3} c^{3} x^{3} \log\left({\left| F \right|}\right)^{3} + 24 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{2} c^{2} x^{2} - 48 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 48 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b c x \mathrm{sgn}\left(F\right) + 48 \, \pi b c x - 96 i \, b c x \log\left({\left| F \right|}\right) + 96 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\right)}}{8 \, \pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} c^{4} + 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 3\right)} + 3 \, {\left({\left(\frac{{\left(\pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} d x^{2} + 2 \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c d x \log\left({\left| F \right|}\right) + 4 \, d\right)} {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{2 \, {\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) - \pi b c d x \mathrm{sgn}\left(F\right) + \pi b c d x\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right) + {\left(\frac{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} d x^{2} + 2 \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c d x \log\left({\left| F \right|}\right) + 4 \, d\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) - \pi b c d x \mathrm{sgn}\left(F\right) + \pi b c d x\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + \frac{1}{2} i \, {\left(\frac{{\left(12 i \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) - 24 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi^{2} b^{2} c^{2} d x^{2} + 24 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) + 24 i \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} + 24 \, \pi b c d x \mathrm{sgn}\left(F\right) - 24 \, \pi b c d x - 48 i \, b c d x \log\left({\left| F \right|}\right) + 48 i \, d\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\right)}}{-4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(12 i \, \pi^{2} b^{2} c^{2} d x^{2} \mathrm{sgn}\left(F\right) + 24 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi^{2} b^{2} c^{2} d x^{2} - 24 \, \pi b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right) + 24 i \, b^{2} c^{2} d x^{2} \log\left({\left| F \right|}\right)^{2} - 24 \, \pi b c d x \mathrm{sgn}\left(F\right) + 24 \, \pi b c d x - 48 i \, b c d x \log\left({\left| F \right|}\right) + 48 i \, d\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\right)}}{4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + 3 \, {\left(2 \, {\left(\frac{{\left(\pi b c d^{2} x \mathrm{sgn}\left(F\right) - \pi b c d^{2} x\right)} {\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)\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}\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)\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}\right)} {\left(b c d^{2} x \log\left({\left| F \right|}\right) - d^{2}\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}\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)\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\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}\right)} {\left(\pi b c d^{2} x \mathrm{sgn}\left(F\right) - \pi b c d^{2} x\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}\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)\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)\right)} {\left(b c d^{2} x \log\left({\left| F \right|}\right) - d^{2}\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}\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)\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\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(6 \, \pi b c d^{2} x \mathrm{sgn}\left(F\right) - 6 \, \pi b c d^{2} x - 12 i \, b c d^{2} x \log\left({\left| F \right|}\right) + 12 i \, d^{2}\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(6 \, \pi b c d^{2} x \mathrm{sgn}\left(F\right) - 6 \, \pi b c d^{2} x + 12 i \, b c d^{2} x \log\left({\left| F \right|}\right) - 12 i \, d^{2}\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} + 2 \, {\left(\frac{2 \, b c d^{3} \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)} d^{3} \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 \, d^{3} 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 \, d^{3} 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,"((4*(pi^3*b^3*c^3*x^3*sgn(F) - 3*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*x^3 + 3*pi*b^3*c^3*x^3*log(abs(F))^2 + 6*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*c^2*x^2*log(abs(F)) - 6*pi*b*c*x*sgn(F) + 6*pi*b*c*x)*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^2) - (pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)*(3*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*x^3*log(abs(F)) + 2*b^3*c^3*x^3*log(abs(F))^3 - 3*pi^2*b^2*c^2*x^2*sgn(F) + 3*pi^2*b^2*c^2*x^2 - 6*b^2*c^2*x^2*log(abs(F))^2 + 12*b*c*x*log(abs(F)) - 12)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^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) + ((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)*(pi^3*b^3*c^3*x^3*sgn(F) - 3*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*x^3 + 3*pi*b^3*c^3*x^3*log(abs(F))^2 + 6*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*c^2*x^2*log(abs(F)) - 6*pi*b*c*x*sgn(F) + 6*pi*b*c*x)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^2) + 4*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)*(3*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*x^3*log(abs(F)) + 2*b^3*c^3*x^3*log(abs(F))^3 - 3*pi^2*b^2*c^2*x^2*sgn(F) + 3*pi^2*b^2*c^2*x^2 - 6*b^2*c^2*x^2*log(abs(F))^2 + 12*b*c*x*log(abs(F)) - 12)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 3) - 1/2*I*((8*pi^3*b^3*c^3*x^3*sgn(F) + 24*I*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 24*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*c^3*x^3 - 24*I*pi^2*b^3*c^3*x^3*log(abs(F)) + 24*pi*b^3*c^3*x^3*log(abs(F))^2 + 16*I*b^3*c^3*x^3*log(abs(F))^3 - 24*I*pi^2*b^2*c^2*x^2*sgn(F) + 48*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) + 24*I*pi^2*b^2*c^2*x^2 - 48*pi*b^2*c^2*x^2*log(abs(F)) - 48*I*b^2*c^2*x^2*log(abs(F))^2 - 48*pi*b*c*x*sgn(F) + 48*pi*b*c*x + 96*I*b*c*x*log(abs(F)) - 96*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)/(8*pi^4*b^4*c^4*sgn(F) + 32*I*pi^3*b^4*c^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - 32*I*pi*b^4*c^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*c^4 - 32*I*pi^3*b^4*c^4*log(abs(F)) + 48*pi^2*b^4*c^4*log(abs(F))^2 + 32*I*pi*b^4*c^4*log(abs(F))^3 - 16*b^4*c^4*log(abs(F))^4) + (8*pi^3*b^3*c^3*x^3*sgn(F) - 24*I*pi^2*b^3*c^3*x^3*log(abs(F))*sgn(F) - 24*pi*b^3*c^3*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*c^3*x^3 + 24*I*pi^2*b^3*c^3*x^3*log(abs(F)) + 24*pi*b^3*c^3*x^3*log(abs(F))^2 - 16*I*b^3*c^3*x^3*log(abs(F))^3 + 24*I*pi^2*b^2*c^2*x^2*sgn(F) + 48*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 24*I*pi^2*b^2*c^2*x^2 - 48*pi*b^2*c^2*x^2*log(abs(F)) + 48*I*b^2*c^2*x^2*log(abs(F))^2 - 48*pi*b*c*x*sgn(F) + 48*pi*b*c*x - 96*I*b*c*x*log(abs(F)) + 96*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)/(8*pi^4*b^4*c^4*sgn(F) - 32*I*pi^3*b^4*c^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) + 32*I*pi*b^4*c^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*c^4 + 32*I*pi^3*b^4*c^4*log(abs(F)) + 48*pi^2*b^4*c^4*log(abs(F))^2 - 32*I*pi*b^4*c^4*log(abs(F))^3 - 16*b^4*c^4*log(abs(F))^4))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 3) + 3*(((pi^2*b^2*c^2*d*x^2*sgn(F) - pi^2*b^2*c^2*d*x^2 + 2*b^2*c^2*d*x^2*log(abs(F))^2 - 4*b*c*d*x*log(abs(F)) + 4*d)*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) - 2*(pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)*(pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*d*x^2*log(abs(F)) - pi*b*c*d*x*sgn(F) + pi*b*c*d*x)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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) + ((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)*(pi^2*b^2*c^2*d*x^2*sgn(F) - pi^2*b^2*c^2*d*x^2 + 2*b^2*c^2*d*x^2*log(abs(F))^2 - 4*b*c*d*x*log(abs(F)) + 4*d)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) + 2*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)*(pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*d*x^2*log(abs(F)) - pi*b*c*d*x*sgn(F) + pi*b*c*d*x)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 1/2*I*((12*I*pi^2*b^2*c^2*d*x^2*sgn(F) - 24*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - 12*I*pi^2*b^2*c^2*d*x^2 + 24*pi*b^2*c^2*d*x^2*log(abs(F)) + 24*I*b^2*c^2*d*x^2*log(abs(F))^2 + 24*pi*b*c*d*x*sgn(F) - 24*pi*b*c*d*x - 48*I*b*c*d*x*log(abs(F)) + 48*I*d)*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)/(-4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) + 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) - 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3) - (12*I*pi^2*b^2*c^2*d*x^2*sgn(F) + 24*pi*b^2*c^2*d*x^2*log(abs(F))*sgn(F) - 12*I*pi^2*b^2*c^2*d*x^2 - 24*pi*b^2*c^2*d*x^2*log(abs(F)) + 24*I*b^2*c^2*d*x^2*log(abs(F))^2 - 24*pi*b*c*d*x*sgn(F) + 24*pi*b*c*d*x - 48*I*b*c*d*x*log(abs(F)) + 48*I*d)*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)/(4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) + 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 3*(2*((pi*b*c*d^2*x*sgn(F) - pi*b*c*d^2*x)*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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)*(b*c*d^2*x*log(abs(F)) - d^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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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) + ((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)*(pi*b*c*d^2*x*sgn(F) - pi*b*c*d^2*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) - 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))*(b*c*d^2*x*log(abs(F)) - d^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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - 1/2*I*((6*pi*b*c*d^2*x*sgn(F) - 6*pi*b*c*d^2*x - 12*I*b*c*d^2*x*log(abs(F)) + 12*I*d^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*pi^2*b^2*c^2*sgn(F) + 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 - 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2) + (6*pi*b*c*d^2*x*sgn(F) - 6*pi*b*c*d^2*x + 12*I*b*c*d^2*x*log(abs(F)) - 12*I*d^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*pi^2*b^2*c^2*sgn(F) - 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 + 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) + 2*(2*b*c*d^3*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)*d^3*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*d^3*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*d^3*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
14,1,2494,0,0.900470," ","integrate(F^(c*(b*x+a))*(e^2*x^2+2*d*e*x+d^2),x, algorithm=""giac"")","{\left({\left(\frac{{\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} x^{2} + 2 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c x \log\left({\left| F \right|}\right) + 4\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{2 \, {\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b c x \mathrm{sgn}\left(F\right) + \pi b c x\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right) + {\left(\frac{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} x^{2} + 2 \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b c x \log\left({\left| F \right|}\right) + 4\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b c x \mathrm{sgn}\left(F\right) + \pi b c x\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right)\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + \frac{1}{2} i \, {\left(\frac{{\left(4 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} c^{2} x^{2} + 8 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 8 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b c x \mathrm{sgn}\left(F\right) - 8 \, \pi b c x - 16 i \, b c x \log\left({\left| F \right|}\right) + 16 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\right)}}{-4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(4 i \, \pi^{2} b^{2} c^{2} x^{2} \mathrm{sgn}\left(F\right) + 8 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} c^{2} x^{2} - 8 \, \pi b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right) + 8 i \, b^{2} c^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b c x \mathrm{sgn}\left(F\right) + 8 \, \pi b c x - 16 i \, b c x \log\left({\left| F \right|}\right) + 16 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\right)}}{4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 2\right)} + 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)\right)} {\left(\pi b c d x \mathrm{sgn}\left(F\right) - \pi b c d x\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}\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)\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}\right)} {\left(b c d x \log\left({\left| F \right|}\right) - d\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}\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)\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\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}\right)} {\left(\pi b c d x \mathrm{sgn}\left(F\right) - \pi b c d x\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}\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)\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)\right)} {\left(b c d x \log\left({\left| F \right|}\right) - d\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}\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)\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\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(4 \, \pi b c d x \mathrm{sgn}\left(F\right) - 4 \, \pi b c d x - 8 i \, b c d x \log\left({\left| F \right|}\right) + 8 i \, d\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(4 \, \pi b c d x \mathrm{sgn}\left(F\right) - 4 \, \pi b c d x + 8 i \, b c d x \log\left({\left| F \right|}\right) - 8 i \, d\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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} + 2 \, {\left(\frac{2 \, b c d^{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)} d^{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 \, d^{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 \, d^{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,"(((3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)*(pi^2*b^2*c^2*x^2*sgn(F) - pi^2*b^2*c^2*x^2 + 2*b^2*c^2*x^2*log(abs(F))^2 - 4*b*c*x*log(abs(F)) + 4)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) - 2*(pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)*(pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*x^2*log(abs(F)) - pi*b*c*x*sgn(F) + pi*b*c*x)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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) + ((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)*(pi^2*b^2*c^2*x^2*sgn(F) - pi^2*b^2*c^2*x^2 + 2*b^2*c^2*x^2*log(abs(F))^2 - 4*b*c*x*log(abs(F)) + 4)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) + 2*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)*(pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*x^2*log(abs(F)) - pi*b*c*x*sgn(F) + pi*b*c*x)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 1/2*I*((4*I*pi^2*b^2*c^2*x^2*sgn(F) - 8*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*c^2*x^2 + 8*pi*b^2*c^2*x^2*log(abs(F)) + 8*I*b^2*c^2*x^2*log(abs(F))^2 + 8*pi*b*c*x*sgn(F) - 8*pi*b*c*x - 16*I*b*c*x*log(abs(F)) + 16*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)/(-4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) + 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) - 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3) - (4*I*pi^2*b^2*c^2*x^2*sgn(F) + 8*pi*b^2*c^2*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*c^2*x^2 - 8*pi*b^2*c^2*x^2*log(abs(F)) + 8*I*b^2*c^2*x^2*log(abs(F))^2 - 8*pi*b*c*x*sgn(F) + 8*pi*b*c*x - 16*I*b*c*x*log(abs(F)) + 16*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)/(4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) + 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 2) + 2*(2*((pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))*(pi*b*c*d*x*sgn(F) - pi*b*c*d*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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)*(b*c*d*x*log(abs(F)) - 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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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) + ((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)*(pi*b*c*d*x*sgn(F) - pi*b*c*d*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) - 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))*(b*c*d*x*log(abs(F)) - 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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - 1/2*I*((4*pi*b*c*d*x*sgn(F) - 4*pi*b*c*d*x - 8*I*b*c*d*x*log(abs(F)) + 8*I*d)*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*pi^2*b^2*c^2*sgn(F) + 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 - 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2) + (4*pi*b*c*d*x*sgn(F) - 4*pi*b*c*d*x + 8*I*b*c*d*x*log(abs(F)) - 8*I*d)*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*pi^2*b^2*c^2*sgn(F) - 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 + 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) + 2*(2*b*c*d^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)*d^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*d^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*d^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
15,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e^2*x^2+2*d*e*x+d^2),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{e^{2} x^{2} + 2 \, d e x + d^{2}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
16,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e^3*x^3+3*d*e^2*x^2+3*d^2*e*x+d^3),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
17,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e^4*x^4+4*d*e^3*x^3+6*d^2*e^2*x^2+4*d^3*e*x+d^4),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
18,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e^5*x^5+5*d*e^4*x^4+10*d^2*e^3*x^3+10*d^3*e^2*x^2+5*d^4*e*x+d^5),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*((e*x+d)^n)^m,x, algorithm=""giac"")","\int {\left({\left(e x + d\right)}^{n}\right)}^{m} F^{{\left(b x + a\right)} c}\,{d x}"," ",0,"integrate(((e*x + d)^n)^m*F^((b*x + a)*c), x)","F",0
20,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(e^4*x^4+4*d*e^3*x^3+6*d^2*e^2*x^2+4*d^3*e*x+d^4)^m,x, algorithm=""giac"")","\int {\left(e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}\right)}^{m} F^{{\left(b x + a\right)} c}\,{d x}"," ",0,"integrate((e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4)^m*F^((b*x + a)*c), x)","F",0
21,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(e^3*x^3+3*d*e^2*x^2+3*d^2*e*x+d^3)^m,x, algorithm=""giac"")","\int {\left(e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}\right)}^{m} F^{{\left(b x + a\right)} c}\,{d x}"," ",0,"integrate((e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3)^m*F^((b*x + a)*c), x)","F",0
22,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(e^2*x^2+2*d*e*x+d^2)^m,x, algorithm=""giac"")","\int {\left(e^{2} x^{2} + 2 \, d e x + d^{2}\right)}^{m} F^{{\left(b x + a\right)} c}\,{d x}"," ",0,"integrate((e^2*x^2 + 2*d*e*x + d^2)^m*F^((b*x + a)*c), x)","F",0
23,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(e*x+d)^m,x, algorithm=""giac"")","\int {\left(e x + d\right)}^{m} F^{{\left(b x + a\right)} c}\,{d x}"," ",0,"integrate((e*x + d)^m*F^((b*x + a)*c), x)","F",0
24,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/((e*x+d)^m),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(e x + d\right)}^{m}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e*x + d)^m, x)","F",0
25,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/((e^2*x^2+2*d*e*x+d^2)^m),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(e^{2} x^{2} + 2 \, d e x + d^{2}\right)}^{m}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e^2*x^2 + 2*d*e*x + d^2)^m, x)","F",0
26,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/((e^3*x^3+3*d*e^2*x^2+3*d^2*e*x+d^3)^m),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}\right)}^{m}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3)^m, x)","F",0
27,1,13,0,0.260511," ","integrate(F^(2+5*x),x, algorithm=""giac"")","\frac{F^{5 \, x + 2}}{5 \, \log\left(F\right)}"," ",0,"1/5*F^(5*x + 2)/log(F)","A",0
28,1,15,0,0.263874," ","integrate(F^(b*x+a),x, algorithm=""giac"")","\frac{F^{b x + a}}{b \log\left(F\right)}"," ",0,"F^(b*x + a)/(b*log(F))","A",0
29,1,13,0,0.361585," ","integrate(10^(2+5*x),x, algorithm=""giac"")","\frac{10^{5 \, x + 2}}{5 \, \log\left(10\right)}"," ",0,"1/5*10^(5*x + 2)/log(10)","A",0
30,1,94,0,0.308286," ","integrate(F^(b*x+a)*x^(7/2),x, algorithm=""giac"")","-\frac{105 \, \sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} \sqrt{x}\right)}{16 \, \sqrt{-b \log\left(F\right)} b^{4} \log\left(F\right)^{4}} + \frac{{\left(8 \, b^{3} x^{\frac{7}{2}} \log\left(F\right)^{3} - 28 \, b^{2} x^{\frac{5}{2}} \log\left(F\right)^{2} + 70 \, b x^{\frac{3}{2}} \log\left(F\right) - 105 \, \sqrt{x}\right)} e^{\left(b x \log\left(F\right) + a \log\left(F\right)\right)}}{8 \, b^{4} \log\left(F\right)^{4}}"," ",0,"-105/16*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*sqrt(x))/(sqrt(-b*log(F))*b^4*log(F)^4) + 1/8*(8*b^3*x^(7/2)*log(F)^3 - 28*b^2*x^(5/2)*log(F)^2 + 70*b*x^(3/2)*log(F) - 105*sqrt(x))*e^(b*x*log(F) + a*log(F))/(b^4*log(F)^4)","A",0
31,1,82,0,0.483142," ","integrate(F^(b*x+a)*x^(5/2),x, algorithm=""giac"")","\frac{15 \, \sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} \sqrt{x}\right)}{8 \, \sqrt{-b \log\left(F\right)} b^{3} \log\left(F\right)^{3}} + \frac{{\left(4 \, b^{2} x^{\frac{5}{2}} \log\left(F\right)^{2} - 10 \, b x^{\frac{3}{2}} \log\left(F\right) + 15 \, \sqrt{x}\right)} e^{\left(b x \log\left(F\right) + a \log\left(F\right)\right)}}{4 \, b^{3} \log\left(F\right)^{3}}"," ",0,"15/8*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*sqrt(x))/(sqrt(-b*log(F))*b^3*log(F)^3) + 1/4*(4*b^2*x^(5/2)*log(F)^2 - 10*b*x^(3/2)*log(F) + 15*sqrt(x))*e^(b*x*log(F) + a*log(F))/(b^3*log(F)^3)","A",0
32,1,70,0,0.424697," ","integrate(F^(b*x+a)*x^(3/2),x, algorithm=""giac"")","-\frac{3 \, \sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} \sqrt{x}\right)}{4 \, \sqrt{-b \log\left(F\right)} b^{2} \log\left(F\right)^{2}} + \frac{{\left(2 \, b x^{\frac{3}{2}} \log\left(F\right) - 3 \, \sqrt{x}\right)} e^{\left(b x \log\left(F\right) + a \log\left(F\right)\right)}}{2 \, b^{2} \log\left(F\right)^{2}}"," ",0,"-3/4*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*sqrt(x))/(sqrt(-b*log(F))*b^2*log(F)^2) + 1/2*(2*b*x^(3/2)*log(F) - 3*sqrt(x))*e^(b*x*log(F) + a*log(F))/(b^2*log(F)^2)","A",0
33,1,58,0,0.333595," ","integrate(F^(b*x+a)*x^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} \sqrt{x}\right)}{2 \, \sqrt{-b \log\left(F\right)} b \log\left(F\right)} + \frac{\sqrt{x} e^{\left(b x \log\left(F\right) + a \log\left(F\right)\right)}}{b \log\left(F\right)}"," ",0,"1/2*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*sqrt(x))/(sqrt(-b*log(F))*b*log(F)) + sqrt(x)*e^(b*x*log(F) + a*log(F))/(b*log(F))","A",0
34,1,28,0,0.275189," ","integrate(F^(b*x+a)/x^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} \sqrt{x}\right)}{\sqrt{-b \log\left(F\right)}}"," ",0,"-sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*sqrt(x))/sqrt(-b*log(F))","A",0
35,0,0,0,0.000000," ","integrate(F^(b*x+a)/x^(3/2),x, algorithm=""giac"")","\int \frac{F^{b x + a}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(F^(b*x + a)/x^(3/2), x)","F",0
36,0,0,0,0.000000," ","integrate(F^(b*x+a)/x^(5/2),x, algorithm=""giac"")","\int \frac{F^{b x + a}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(F^(b*x + a)/x^(5/2), x)","F",0
37,0,0,0,0.000000," ","integrate(F^(b*x+a)/x^(7/2),x, algorithm=""giac"")","\int \frac{F^{b x + a}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(F^(b*x + a)/x^(7/2), x)","F",0
38,0,0,0,0.000000," ","integrate(F^(b*x+a)/x^(9/2),x, algorithm=""giac"")","\int \frac{F^{b x + a}}{x^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(F^(b*x + a)/x^(9/2), x)","F",0
39,1,1091,0,1.754141," ","integrate(F^(c*(b*x+a))*(e*x+d)^(7/2),x, algorithm=""giac"")","-\frac{1}{16} \, {\left(\frac{16 \, \sqrt{\pi} d^{4} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)}} - 32 \, d^{3} {\left(\frac{\sqrt{\pi} {\left(2 \, b c d \log\left(F\right) + e\right)} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)} b c \log\left(F\right)} + \frac{2 \, \sqrt{x e + d} e^{\left({\left({\left(x e + d\right)} b c \log\left(F\right) - b c d \log\left(F\right) + a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{b c \log\left(F\right)}\right)} + 24 \, d^{2} {\left(\frac{\sqrt{\pi} {\left(4 \, b^{2} c^{2} d^{2} \log\left(F\right)^{2} + 4 \, b c d e \log\left(F\right) + 3 \, e^{2}\right)} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right) + 2 \, e\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)} b^{2} c^{2} \log\left(F\right)^{2}} - \frac{2 \, {\left(2 \, {\left(x e + d\right)}^{\frac{3}{2}} b c e \log\left(F\right) - 4 \, \sqrt{x e + d} b c d e \log\left(F\right) - 3 \, \sqrt{x e + d} e^{2}\right)} e^{\left({\left({\left(x e + d\right)} b c \log\left(F\right) - b c d \log\left(F\right) + a c e \log\left(F\right) - 2 \, e\right)} e^{\left(-1\right)}\right)}}{b^{2} c^{2} \log\left(F\right)^{2}}\right)} e^{2} - 8 \, d {\left(\frac{\sqrt{\pi} {\left(8 \, b^{3} c^{3} d^{3} \log\left(F\right)^{3} + 12 \, b^{2} c^{2} d^{2} e \log\left(F\right)^{2} + 18 \, b c d e^{2} \log\left(F\right) + 15 \, e^{3}\right)} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right) + 3 \, e\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)} b^{3} c^{3} \log\left(F\right)^{3}} + \frac{2 \, {\left(4 \, {\left(x e + d\right)}^{\frac{5}{2}} b^{2} c^{2} e \log\left(F\right)^{2} - 12 \, {\left(x e + d\right)}^{\frac{3}{2}} b^{2} c^{2} d e \log\left(F\right)^{2} + 12 \, \sqrt{x e + d} b^{2} c^{2} d^{2} e \log\left(F\right)^{2} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} b c e^{2} \log\left(F\right) + 18 \, \sqrt{x e + d} b c d e^{2} \log\left(F\right) + 15 \, \sqrt{x e + d} e^{3}\right)} e^{\left({\left({\left(x e + d\right)} b c \log\left(F\right) - b c d \log\left(F\right) + a c e \log\left(F\right) - 3 \, e\right)} e^{\left(-1\right)}\right)}}{b^{3} c^{3} \log\left(F\right)^{3}}\right)} e^{3} + {\left(\frac{\sqrt{\pi} {\left(16 \, b^{4} c^{4} d^{4} \log\left(F\right)^{4} + 32 \, b^{3} c^{3} d^{3} e \log\left(F\right)^{3} + 72 \, b^{2} c^{2} d^{2} e^{2} \log\left(F\right)^{2} + 120 \, b c d e^{3} \log\left(F\right) + 105 \, e^{4}\right)} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right) + 4 \, e\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)} b^{4} c^{4} \log\left(F\right)^{4}} - \frac{2 \, {\left(8 \, {\left(x e + d\right)}^{\frac{7}{2}} b^{3} c^{3} e \log\left(F\right)^{3} - 32 \, {\left(x e + d\right)}^{\frac{5}{2}} b^{3} c^{3} d e \log\left(F\right)^{3} + 48 \, {\left(x e + d\right)}^{\frac{3}{2}} b^{3} c^{3} d^{2} e \log\left(F\right)^{3} - 32 \, \sqrt{x e + d} b^{3} c^{3} d^{3} e \log\left(F\right)^{3} - 28 \, {\left(x e + d\right)}^{\frac{5}{2}} b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 80 \, {\left(x e + d\right)}^{\frac{3}{2}} b^{2} c^{2} d e^{2} \log\left(F\right)^{2} - 72 \, \sqrt{x e + d} b^{2} c^{2} d^{2} e^{2} \log\left(F\right)^{2} + 70 \, {\left(x e + d\right)}^{\frac{3}{2}} b c e^{3} \log\left(F\right) - 120 \, \sqrt{x e + d} b c d e^{3} \log\left(F\right) - 105 \, \sqrt{x e + d} e^{4}\right)} e^{\left({\left({\left(x e + d\right)} b c \log\left(F\right) - b c d \log\left(F\right) + a c e \log\left(F\right) - 4 \, e\right)} e^{\left(-1\right)}\right)}}{b^{4} c^{4} \log\left(F\right)^{4}}\right)} e^{4}\right)} e^{\left(-1\right)}"," ",0,"-1/16*(16*sqrt(pi)*d^4*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F))*e^(-1) + 1)/sqrt(-b*c*e*log(F)) - 32*d^3*(sqrt(pi)*(2*b*c*d*log(F) + e)*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F))*e^(-1) + 1)/(sqrt(-b*c*e*log(F))*b*c*log(F)) + 2*sqrt(x*e + d)*e^(((x*e + d)*b*c*log(F) - b*c*d*log(F) + a*c*e*log(F))*e^(-1) + 1)/(b*c*log(F))) + 24*d^2*(sqrt(pi)*(4*b^2*c^2*d^2*log(F)^2 + 4*b*c*d*e*log(F) + 3*e^2)*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F) + 2*e)*e^(-1) + 1)/(sqrt(-b*c*e*log(F))*b^2*c^2*log(F)^2) - 2*(2*(x*e + d)^(3/2)*b*c*e*log(F) - 4*sqrt(x*e + d)*b*c*d*e*log(F) - 3*sqrt(x*e + d)*e^2)*e^(((x*e + d)*b*c*log(F) - b*c*d*log(F) + a*c*e*log(F) - 2*e)*e^(-1))/(b^2*c^2*log(F)^2))*e^2 - 8*d*(sqrt(pi)*(8*b^3*c^3*d^3*log(F)^3 + 12*b^2*c^2*d^2*e*log(F)^2 + 18*b*c*d*e^2*log(F) + 15*e^3)*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F) + 3*e)*e^(-1) + 1)/(sqrt(-b*c*e*log(F))*b^3*c^3*log(F)^3) + 2*(4*(x*e + d)^(5/2)*b^2*c^2*e*log(F)^2 - 12*(x*e + d)^(3/2)*b^2*c^2*d*e*log(F)^2 + 12*sqrt(x*e + d)*b^2*c^2*d^2*e*log(F)^2 - 10*(x*e + d)^(3/2)*b*c*e^2*log(F) + 18*sqrt(x*e + d)*b*c*d*e^2*log(F) + 15*sqrt(x*e + d)*e^3)*e^(((x*e + d)*b*c*log(F) - b*c*d*log(F) + a*c*e*log(F) - 3*e)*e^(-1))/(b^3*c^3*log(F)^3))*e^3 + (sqrt(pi)*(16*b^4*c^4*d^4*log(F)^4 + 32*b^3*c^3*d^3*e*log(F)^3 + 72*b^2*c^2*d^2*e^2*log(F)^2 + 120*b*c*d*e^3*log(F) + 105*e^4)*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F) + 4*e)*e^(-1) + 1)/(sqrt(-b*c*e*log(F))*b^4*c^4*log(F)^4) - 2*(8*(x*e + d)^(7/2)*b^3*c^3*e*log(F)^3 - 32*(x*e + d)^(5/2)*b^3*c^3*d*e*log(F)^3 + 48*(x*e + d)^(3/2)*b^3*c^3*d^2*e*log(F)^3 - 32*sqrt(x*e + d)*b^3*c^3*d^3*e*log(F)^3 - 28*(x*e + d)^(5/2)*b^2*c^2*e^2*log(F)^2 + 80*(x*e + d)^(3/2)*b^2*c^2*d*e^2*log(F)^2 - 72*sqrt(x*e + d)*b^2*c^2*d^2*e^2*log(F)^2 + 70*(x*e + d)^(3/2)*b*c*e^3*log(F) - 120*sqrt(x*e + d)*b*c*d*e^3*log(F) - 105*sqrt(x*e + d)*e^4)*e^(((x*e + d)*b*c*log(F) - b*c*d*log(F) + a*c*e*log(F) - 4*e)*e^(-1))/(b^4*c^4*log(F)^4))*e^4)*e^(-1)","B",0
40,1,691,0,1.299661," ","integrate(F^(c*(b*x+a))*(e*x+d)^(5/2),x, algorithm=""giac"")","-\frac{1}{8} \, {\left(\frac{8 \, \sqrt{\pi} d^{3} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)}} - 12 \, d^{2} {\left(\frac{\sqrt{\pi} {\left(2 \, b c d \log\left(F\right) + e\right)} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)} b c \log\left(F\right)} + \frac{2 \, \sqrt{x e + d} e^{\left({\left({\left(x e + d\right)} b c \log\left(F\right) - b c d \log\left(F\right) + a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{b c \log\left(F\right)}\right)} + 6 \, d {\left(\frac{\sqrt{\pi} {\left(4 \, b^{2} c^{2} d^{2} \log\left(F\right)^{2} + 4 \, b c d e \log\left(F\right) + 3 \, e^{2}\right)} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right) + 2 \, e\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)} b^{2} c^{2} \log\left(F\right)^{2}} - \frac{2 \, {\left(2 \, {\left(x e + d\right)}^{\frac{3}{2}} b c e \log\left(F\right) - 4 \, \sqrt{x e + d} b c d e \log\left(F\right) - 3 \, \sqrt{x e + d} e^{2}\right)} e^{\left({\left({\left(x e + d\right)} b c \log\left(F\right) - b c d \log\left(F\right) + a c e \log\left(F\right) - 2 \, e\right)} e^{\left(-1\right)}\right)}}{b^{2} c^{2} \log\left(F\right)^{2}}\right)} e^{2} - {\left(\frac{\sqrt{\pi} {\left(8 \, b^{3} c^{3} d^{3} \log\left(F\right)^{3} + 12 \, b^{2} c^{2} d^{2} e \log\left(F\right)^{2} + 18 \, b c d e^{2} \log\left(F\right) + 15 \, e^{3}\right)} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right) + 3 \, e\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)} b^{3} c^{3} \log\left(F\right)^{3}} + \frac{2 \, {\left(4 \, {\left(x e + d\right)}^{\frac{5}{2}} b^{2} c^{2} e \log\left(F\right)^{2} - 12 \, {\left(x e + d\right)}^{\frac{3}{2}} b^{2} c^{2} d e \log\left(F\right)^{2} + 12 \, \sqrt{x e + d} b^{2} c^{2} d^{2} e \log\left(F\right)^{2} - 10 \, {\left(x e + d\right)}^{\frac{3}{2}} b c e^{2} \log\left(F\right) + 18 \, \sqrt{x e + d} b c d e^{2} \log\left(F\right) + 15 \, \sqrt{x e + d} e^{3}\right)} e^{\left({\left({\left(x e + d\right)} b c \log\left(F\right) - b c d \log\left(F\right) + a c e \log\left(F\right) - 3 \, e\right)} e^{\left(-1\right)}\right)}}{b^{3} c^{3} \log\left(F\right)^{3}}\right)} e^{3}\right)} e^{\left(-1\right)}"," ",0,"-1/8*(8*sqrt(pi)*d^3*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F))*e^(-1) + 1)/sqrt(-b*c*e*log(F)) - 12*d^2*(sqrt(pi)*(2*b*c*d*log(F) + e)*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F))*e^(-1) + 1)/(sqrt(-b*c*e*log(F))*b*c*log(F)) + 2*sqrt(x*e + d)*e^(((x*e + d)*b*c*log(F) - b*c*d*log(F) + a*c*e*log(F))*e^(-1) + 1)/(b*c*log(F))) + 6*d*(sqrt(pi)*(4*b^2*c^2*d^2*log(F)^2 + 4*b*c*d*e*log(F) + 3*e^2)*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F) + 2*e)*e^(-1) + 1)/(sqrt(-b*c*e*log(F))*b^2*c^2*log(F)^2) - 2*(2*(x*e + d)^(3/2)*b*c*e*log(F) - 4*sqrt(x*e + d)*b*c*d*e*log(F) - 3*sqrt(x*e + d)*e^2)*e^(((x*e + d)*b*c*log(F) - b*c*d*log(F) + a*c*e*log(F) - 2*e)*e^(-1))/(b^2*c^2*log(F)^2))*e^2 - (sqrt(pi)*(8*b^3*c^3*d^3*log(F)^3 + 12*b^2*c^2*d^2*e*log(F)^2 + 18*b*c*d*e^2*log(F) + 15*e^3)*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F) + 3*e)*e^(-1) + 1)/(sqrt(-b*c*e*log(F))*b^3*c^3*log(F)^3) + 2*(4*(x*e + d)^(5/2)*b^2*c^2*e*log(F)^2 - 12*(x*e + d)^(3/2)*b^2*c^2*d*e*log(F)^2 + 12*sqrt(x*e + d)*b^2*c^2*d^2*e*log(F)^2 - 10*(x*e + d)^(3/2)*b*c*e^2*log(F) + 18*sqrt(x*e + d)*b*c*d*e^2*log(F) + 15*sqrt(x*e + d)*e^3)*e^(((x*e + d)*b*c*log(F) - b*c*d*log(F) + a*c*e*log(F) - 3*e)*e^(-1))/(b^3*c^3*log(F)^3))*e^3)*e^(-1)","B",0
41,1,401,0,0.906481," ","integrate(F^(c*(b*x+a))*(e*x+d)^(3/2),x, algorithm=""giac"")","-\frac{1}{4} \, {\left(\frac{4 \, \sqrt{\pi} d^{2} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)}} - 4 \, d {\left(\frac{\sqrt{\pi} {\left(2 \, b c d \log\left(F\right) + e\right)} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)} b c \log\left(F\right)} + \frac{2 \, \sqrt{x e + d} e^{\left({\left({\left(x e + d\right)} b c \log\left(F\right) - b c d \log\left(F\right) + a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{b c \log\left(F\right)}\right)} + {\left(\frac{\sqrt{\pi} {\left(4 \, b^{2} c^{2} d^{2} \log\left(F\right)^{2} + 4 \, b c d e \log\left(F\right) + 3 \, e^{2}\right)} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right) + 2 \, e\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)} b^{2} c^{2} \log\left(F\right)^{2}} - \frac{2 \, {\left(2 \, {\left(x e + d\right)}^{\frac{3}{2}} b c e \log\left(F\right) - 4 \, \sqrt{x e + d} b c d e \log\left(F\right) - 3 \, \sqrt{x e + d} e^{2}\right)} e^{\left({\left({\left(x e + d\right)} b c \log\left(F\right) - b c d \log\left(F\right) + a c e \log\left(F\right) - 2 \, e\right)} e^{\left(-1\right)}\right)}}{b^{2} c^{2} \log\left(F\right)^{2}}\right)} e^{2}\right)} e^{\left(-1\right)}"," ",0,"-1/4*(4*sqrt(pi)*d^2*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F))*e^(-1) + 1)/sqrt(-b*c*e*log(F)) - 4*d*(sqrt(pi)*(2*b*c*d*log(F) + e)*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F))*e^(-1) + 1)/(sqrt(-b*c*e*log(F))*b*c*log(F)) + 2*sqrt(x*e + d)*e^(((x*e + d)*b*c*log(F) - b*c*d*log(F) + a*c*e*log(F))*e^(-1) + 1)/(b*c*log(F))) + (sqrt(pi)*(4*b^2*c^2*d^2*log(F)^2 + 4*b*c*d*e*log(F) + 3*e^2)*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F) + 2*e)*e^(-1) + 1)/(sqrt(-b*c*e*log(F))*b^2*c^2*log(F)^2) - 2*(2*(x*e + d)^(3/2)*b*c*e*log(F) - 4*sqrt(x*e + d)*b*c*d*e*log(F) - 3*sqrt(x*e + d)*e^2)*e^(((x*e + d)*b*c*log(F) - b*c*d*log(F) + a*c*e*log(F) - 2*e)*e^(-1))/(b^2*c^2*log(F)^2))*e^2)*e^(-1)","B",0
42,1,198,0,0.523228," ","integrate(F^(c*(b*x+a))*(e*x+d)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\frac{2 \, \sqrt{\pi} d \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)}} - \frac{\sqrt{\pi} {\left(2 \, b c d \log\left(F\right) + e\right)} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{\sqrt{-b c e \log\left(F\right)} b c \log\left(F\right)} - \frac{2 \, \sqrt{x e + d} e^{\left({\left({\left(x e + d\right)} b c \log\left(F\right) - b c d \log\left(F\right) + a c e \log\left(F\right)\right)} e^{\left(-1\right)} + 1\right)}}{b c \log\left(F\right)}\right)} e^{\left(-1\right)}"," ",0,"-1/2*(2*sqrt(pi)*d*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F))*e^(-1) + 1)/sqrt(-b*c*e*log(F)) - sqrt(pi)*(2*b*c*d*log(F) + e)*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F))*e^(-1) + 1)/(sqrt(-b*c*e*log(F))*b*c*log(F)) - 2*sqrt(x*e + d)*e^(((x*e + d)*b*c*log(F) - b*c*d*log(F) + a*c*e*log(F))*e^(-1) + 1)/(b*c*log(F)))*e^(-1)","B",0
43,1,58,0,0.390138," ","integrate(F^(c*(b*x+a))/(e*x+d)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-b c e \log\left(F\right)} \sqrt{x e + d} e^{\left(-1\right)}\right) e^{\left(-{\left(b c d \log\left(F\right) - a c e \log\left(F\right)\right)} e^{\left(-1\right)}\right)}}{\sqrt{-b c e \log\left(F\right)}}"," ",0,"-sqrt(pi)*erf(-sqrt(-b*c*e*log(F))*sqrt(x*e + d)*e^(-1))*e^(-(b*c*d*log(F) - a*c*e*log(F))*e^(-1))/sqrt(-b*c*e*log(F))","A",0
44,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e*x + d)^(3/2), x)","F",0
45,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e*x+d)^(5/2),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e*x + d)^(5/2), x)","F",0
46,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e*x+d)^(7/2),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(e x + d\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e*x + d)^(7/2), x)","F",0
47,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(e*x+d)^(9/2),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(e x + d\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(e*x + d)^(9/2), x)","F",0
48,1,80,0,0.363790," ","integrate(x^(13/2)/exp(b*x),x, algorithm=""giac"")","-\frac{{\left(64 \, b^{6} x^{\frac{13}{2}} + 416 \, b^{5} x^{\frac{11}{2}} + 2288 \, b^{4} x^{\frac{9}{2}} + 10296 \, b^{3} x^{\frac{7}{2}} + 36036 \, b^{2} x^{\frac{5}{2}} + 90090 \, b x^{\frac{3}{2}} + 135135 \, \sqrt{x}\right)} e^{\left(-b x\right)}}{64 \, b^{7}} - \frac{135135 \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{b} \sqrt{x}\right)}{128 \, b^{\frac{15}{2}}}"," ",0,"-1/64*(64*b^6*x^(13/2) + 416*b^5*x^(11/2) + 2288*b^4*x^(9/2) + 10296*b^3*x^(7/2) + 36036*b^2*x^(5/2) + 90090*b*x^(3/2) + 135135*sqrt(x))*e^(-b*x)/b^7 - 135135/128*sqrt(pi)*erf(-sqrt(b)*sqrt(x))/b^(15/2)","A",0
49,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(e*x+d)^(4/3),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{\frac{4}{3}} F^{{\left(b x + a\right)} c}\,{d x}"," ",0,"integrate((e*x + d)^(4/3)*F^((b*x + a)*c), x)","F",0
50,0,0,0,0.000000," ","integrate((F^(c*(b*x+a)))^n*(e*x+d)^(4/3),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{\frac{4}{3}} {\left(F^{{\left(b x + a\right)} c}\right)}^{n}\,{d x}"," ",0,"integrate((e*x + d)^(4/3)*(F^((b*x + a)*c))^n, x)","F",0
51,1,1083,0,0.649173," ","integrate(F^(c*(b*x+a))*(e*x+d),x, algorithm=""giac"")","{\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)\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x\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}\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)\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}\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}\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)\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\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}\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x\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}\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)\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)\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}\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)\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\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 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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{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 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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right) + 1\right)} + 2 \, {\left(\frac{2 \, b c d \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)} d \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 \, d 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 \, d 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*((pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))*(pi*b*c*x*sgn(F) - pi*b*c*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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)*(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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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) + ((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)*(pi*b*c*x*sgn(F) - pi*b*c*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) - 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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))*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*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*pi^2*b^2*c^2*sgn(F) + 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 - 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2) + (2*pi*b*c*x*sgn(F) - 2*pi*b*c*x + 4*I*b*c*x*log(abs(F)) - 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)/(2*pi^2*b^2*c^2*sgn(F) - 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 + 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) + 2*(2*b*c*d*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)*d*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*d*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*d*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
52,1,2490,0,0.754520," ","integrate(F^(c*(b*x+a))*(f*x^2+e*x+d),x, algorithm=""giac"")","{\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)\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x\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}\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)\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}\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}\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)\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\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}\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x\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}\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)\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)\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}\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)\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\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 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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{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 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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\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({\left(\frac{{\left(\pi^{2} b^{2} c^{2} f x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} f x^{2} + 2 \, b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} + \pi^{2} b^{2} c^{2} d \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} d + 2 \, b^{2} c^{2} d \log\left({\left| F \right|}\right)^{2} - 4 \, b c f x \log\left({\left| F \right|}\right) + 4 \, f\right)} {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{2 \, {\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right) + \pi b^{2} c^{2} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} d \log\left({\left| F \right|}\right) - \pi b c f x \mathrm{sgn}\left(F\right) + \pi b c f x\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\right) + {\left(\frac{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi^{2} b^{2} c^{2} f x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} f x^{2} + 2 \, b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} + \pi^{2} b^{2} c^{2} d \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} d + 2 \, b^{2} c^{2} d \log\left({\left| F \right|}\right)^{2} - 4 \, b c f x \log\left({\left| F \right|}\right) + 4 \, f\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\pi b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right) + \pi b^{2} c^{2} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} c^{2} d \log\left({\left| F \right|}\right) - \pi b c f x \mathrm{sgn}\left(F\right) + \pi b c f x\right)}}{{\left(\pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} + 3 \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}\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\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{{\left(4 i \, \pi^{2} b^{2} c^{2} f x^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} c^{2} f x^{2} + 8 \, \pi b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right) + 8 i \, b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} + 4 i \, \pi^{2} b^{2} c^{2} d \mathrm{sgn}\left(F\right) - 8 \, \pi b^{2} c^{2} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} c^{2} d + 8 \, \pi b^{2} c^{2} d \log\left({\left| F \right|}\right) + 8 i \, b^{2} c^{2} d \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b c f x \mathrm{sgn}\left(F\right) - 8 \, \pi b c f x - 16 i \, b c f x \log\left({\left| F \right|}\right) + 16 i \, f\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\right)}}{-4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(4 i \, \pi^{2} b^{2} c^{2} f x^{2} \mathrm{sgn}\left(F\right) + 8 \, \pi b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} c^{2} f x^{2} - 8 \, \pi b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right) + 8 i \, b^{2} c^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} + 4 i \, \pi^{2} b^{2} c^{2} d \mathrm{sgn}\left(F\right) + 8 \, \pi b^{2} c^{2} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} c^{2} d - 8 \, \pi b^{2} c^{2} d \log\left({\left| F \right|}\right) + 8 i \, b^{2} c^{2} d \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b c f x \mathrm{sgn}\left(F\right) + 8 \, \pi b c f x - 16 i \, b c f x \log\left({\left| F \right|}\right) + 16 i \, f\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\right)}}{4 i \, \pi^{3} b^{3} c^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} b^{3} c^{3} - 12 \, \pi^{2} b^{3} c^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi b^{3} c^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"(2*((pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))*(pi*b*c*x*sgn(F) - pi*b*c*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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)*(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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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) + ((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)*(pi*b*c*x*sgn(F) - pi*b*c*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) - 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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))*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*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*pi^2*b^2*c^2*sgn(F) + 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 - 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2) + (2*pi*b*c*x*sgn(F) - 2*pi*b*c*x + 4*I*b*c*x*log(abs(F)) - 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)/(2*pi^2*b^2*c^2*sgn(F) - 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 + 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) + (((pi^2*b^2*c^2*f*x^2*sgn(F) - pi^2*b^2*c^2*f*x^2 + 2*b^2*c^2*f*x^2*log(abs(F))^2 + pi^2*b^2*c^2*d*sgn(F) - pi^2*b^2*c^2*d + 2*b^2*c^2*d*log(abs(F))^2 - 4*b*c*f*x*log(abs(F)) + 4*f)*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) - 2*(pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)*(pi*b^2*c^2*f*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*f*x^2*log(abs(F)) + pi*b^2*c^2*d*log(abs(F))*sgn(F) - pi*b^2*c^2*d*log(abs(F)) - pi*b*c*f*x*sgn(F) + pi*b*c*f*x)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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) + ((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)*(pi^2*b^2*c^2*f*x^2*sgn(F) - pi^2*b^2*c^2*f*x^2 + 2*b^2*c^2*f*x^2*log(abs(F))^2 + pi^2*b^2*c^2*d*sgn(F) - pi^2*b^2*c^2*d + 2*b^2*c^2*d*log(abs(F))^2 - 4*b*c*f*x*log(abs(F)) + 4*f)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^2) + 2*(3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)*(pi*b^2*c^2*f*x^2*log(abs(F))*sgn(F) - pi*b^2*c^2*f*x^2*log(abs(F)) + pi*b^2*c^2*d*log(abs(F))*sgn(F) - pi*b^2*c^2*d*log(abs(F)) - pi*b*c*f*x*sgn(F) + pi*b*c*f*x)/((pi^3*b^3*c^3*sgn(F) - 3*pi*b^3*c^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3 + 3*pi*b^3*c^3*log(abs(F))^2)^2 + (3*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*log(abs(F)) + 2*b^3*c^3*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*I*((4*I*pi^2*b^2*c^2*f*x^2*sgn(F) - 8*pi*b^2*c^2*f*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*c^2*f*x^2 + 8*pi*b^2*c^2*f*x^2*log(abs(F)) + 8*I*b^2*c^2*f*x^2*log(abs(F))^2 + 4*I*pi^2*b^2*c^2*d*sgn(F) - 8*pi*b^2*c^2*d*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*c^2*d + 8*pi*b^2*c^2*d*log(abs(F)) + 8*I*b^2*c^2*d*log(abs(F))^2 + 8*pi*b*c*f*x*sgn(F) - 8*pi*b*c*f*x - 16*I*b*c*f*x*log(abs(F)) + 16*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)/(-4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) + 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) - 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3) - (4*I*pi^2*b^2*c^2*f*x^2*sgn(F) + 8*pi*b^2*c^2*f*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*c^2*f*x^2 - 8*pi*b^2*c^2*f*x^2*log(abs(F)) + 8*I*b^2*c^2*f*x^2*log(abs(F))^2 + 4*I*pi^2*b^2*c^2*d*sgn(F) + 8*pi*b^2*c^2*d*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*c^2*d - 8*pi*b^2*c^2*d*log(abs(F)) + 8*I*b^2*c^2*d*log(abs(F))^2 - 8*pi*b*c*f*x*sgn(F) + 8*pi*b*c*f*x - 16*I*b*c*f*x*log(abs(F)) + 16*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)/(4*I*pi^3*b^3*c^3*sgn(F) + 12*pi^2*b^3*c^3*log(abs(F))*sgn(F) - 12*I*pi*b^3*c^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*b^3*c^3 - 12*pi^2*b^3*c^3*log(abs(F)) + 12*I*pi*b^3*c^3*log(abs(F))^2 + 8*b^3*c^3*log(abs(F))^3))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
53,1,4287,0,0.939126," ","integrate(F^(c*(b*x+a))*(g*x^3+f*x^2+e*x+d),x, algorithm=""giac"")","{\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)\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x\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}\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)\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}\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}\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)\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\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}\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x\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}\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)\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)\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}\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)\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\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 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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{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 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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\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({\left(\frac{{\left(3 \, \pi^{2} b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{3} + 3 \, \pi^{2} b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{3} + 3 \, \pi^{2} b^{3} c^{3} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} d \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} d \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} c^{2} g x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} c^{2} g x^{2} - 6 \, b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, \pi^{2} b^{2} c^{2} f x \mathrm{sgn}\left(F\right) + 2 \, \pi^{2} b^{2} c^{2} f x - 4 \, b^{2} c^{2} f x \log\left({\left| F \right|}\right)^{2} + 12 \, b c g x \log\left({\left| F \right|}\right) + 4 \, b c f \log\left({\left| F \right|}\right) - 12 \, g\right)} {\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{4 \, {\left(\pi^{3} b^{3} c^{3} g x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} g x^{3} + 3 \, \pi b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{2} + \pi^{3} b^{3} c^{3} f x^{2} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} f x^{2} + 3 \, \pi b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{2} + \pi^{3} b^{3} c^{3} d \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} d \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} d + 3 \, \pi b^{3} c^{3} d \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right) + 4 \, \pi b^{2} c^{2} f x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi b^{2} c^{2} f x \log\left({\left| F \right|}\right) - 6 \, \pi b c g x \mathrm{sgn}\left(F\right) + 6 \, \pi b c g x - 2 \, \pi b c f \mathrm{sgn}\left(F\right) + 2 \, \pi b c f\right)} {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\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\right) - {\left(\frac{{\left(\pi^{3} b^{3} c^{3} g x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} g x^{3} + 3 \, \pi b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{2} + \pi^{3} b^{3} c^{3} f x^{2} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} f x^{2} + 3 \, \pi b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{2} + \pi^{3} b^{3} c^{3} d \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{3} d \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} c^{3} d + 3 \, \pi b^{3} c^{3} d \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right) + 4 \, \pi b^{2} c^{2} f x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi b^{2} c^{2} f x \log\left({\left| F \right|}\right) - 6 \, \pi b c g x \mathrm{sgn}\left(F\right) + 6 \, \pi b c g x - 2 \, \pi b c f \mathrm{sgn}\left(F\right) + 2 \, \pi b c f\right)} {\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{4 \, {\left(3 \, \pi^{2} b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{3} + 3 \, \pi^{2} b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{3} + 3 \, \pi^{2} b^{3} c^{3} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} c^{3} d \log\left({\left| F \right|}\right) + 2 \, b^{3} c^{3} d \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} c^{2} g x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} c^{2} g x^{2} - 6 \, b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, \pi^{2} b^{2} c^{2} f x \mathrm{sgn}\left(F\right) + 2 \, \pi^{2} b^{2} c^{2} f x - 4 \, b^{2} c^{2} f x \log\left({\left| F \right|}\right)^{2} + 12 \, b c g x \log\left({\left| F \right|}\right) + 4 \, b c f \log\left({\left| F \right|}\right) - 12 \, g\right)} {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} + 6 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3}\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\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{{\left(8 \, \pi^{3} b^{3} c^{3} g x^{3} \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} c^{3} g x^{3} - 24 i \, \pi^{2} b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{2} + 16 i \, b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{3} + 8 \, \pi^{3} b^{3} c^{3} f x^{2} \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} c^{3} f x^{2} - 24 i \, \pi^{2} b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{2} + 16 i \, b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{3} + 8 \, \pi^{3} b^{3} c^{3} d \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{3} c^{3} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} c^{3} d \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} c^{3} d - 24 i \, \pi^{2} b^{3} c^{3} d \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} c^{3} d \log\left({\left| F \right|}\right)^{2} + 16 i \, b^{3} c^{3} d \log\left({\left| F \right|}\right)^{3} - 24 i \, \pi^{2} b^{2} c^{2} g x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{2} c^{2} g x^{2} - 48 \, \pi b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right) - 48 i \, b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right)^{2} - 16 i \, \pi^{2} b^{2} c^{2} f x \mathrm{sgn}\left(F\right) + 32 \, \pi b^{2} c^{2} f x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 16 i \, \pi^{2} b^{2} c^{2} f x - 32 \, \pi b^{2} c^{2} f x \log\left({\left| F \right|}\right) - 32 i \, b^{2} c^{2} f x \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b c g x \mathrm{sgn}\left(F\right) + 48 \, \pi b c g x + 96 i \, b c g x \log\left({\left| F \right|}\right) - 16 \, \pi b c f \mathrm{sgn}\left(F\right) + 16 \, \pi b c f + 32 i \, b c f \log\left({\left| F \right|}\right) - 96 i \, g\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\right)}}{8 \, \pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) + 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} c^{4} - 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} + 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}} + \frac{{\left(8 \, \pi^{3} b^{3} c^{3} g x^{3} \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} c^{3} g x^{3} + 24 i \, \pi^{2} b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{2} - 16 i \, b^{3} c^{3} g x^{3} \log\left({\left| F \right|}\right)^{3} + 8 \, \pi^{3} b^{3} c^{3} f x^{2} \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} c^{3} f x^{2} + 24 i \, \pi^{2} b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{2} - 16 i \, b^{3} c^{3} f x^{2} \log\left({\left| F \right|}\right)^{3} + 8 \, \pi^{3} b^{3} c^{3} d \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{3} c^{3} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} c^{3} d \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} c^{3} d + 24 i \, \pi^{2} b^{3} c^{3} d \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} c^{3} d \log\left({\left| F \right|}\right)^{2} - 16 i \, b^{3} c^{3} d \log\left({\left| F \right|}\right)^{3} + 24 i \, \pi^{2} b^{2} c^{2} g x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{2} c^{2} g x^{2} - 48 \, \pi b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right) + 48 i \, b^{2} c^{2} g x^{2} \log\left({\left| F \right|}\right)^{2} + 16 i \, \pi^{2} b^{2} c^{2} f x \mathrm{sgn}\left(F\right) + 32 \, \pi b^{2} c^{2} f x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 16 i \, \pi^{2} b^{2} c^{2} f x - 32 \, \pi b^{2} c^{2} f x \log\left({\left| F \right|}\right) + 32 i \, b^{2} c^{2} f x \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b c g x \mathrm{sgn}\left(F\right) + 48 \, \pi b c g x - 96 i \, b c g x \log\left({\left| F \right|}\right) - 16 \, \pi b c f \mathrm{sgn}\left(F\right) + 16 \, \pi b c f - 32 i \, b c f \log\left({\left| F \right|}\right) + 96 i \, g\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\right)}}{8 \, \pi^{4} b^{4} c^{4} \mathrm{sgn}\left(F\right) - 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} c^{4} + 32 i \, \pi^{3} b^{4} c^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} c^{4} \log\left({\left| F \right|}\right)^{2} - 32 i \, \pi b^{4} c^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} c^{4} \log\left({\left| F \right|}\right)^{4}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"(2*((pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))*(pi*b*c*x*sgn(F) - pi*b*c*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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)*(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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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) + ((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)*(pi*b*c*x*sgn(F) - pi*b*c*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) - 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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))*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*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*pi^2*b^2*c^2*sgn(F) + 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 - 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2) + (2*pi*b*c*x*sgn(F) - 2*pi*b*c*x + 4*I*b*c*x*log(abs(F)) - 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)/(2*pi^2*b^2*c^2*sgn(F) - 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 + 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - (((3*pi^2*b^3*c^3*g*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*g*x^3*log(abs(F)) + 2*b^3*c^3*g*x^3*log(abs(F))^3 + 3*pi^2*b^3*c^3*f*x^2*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*f*x^2*log(abs(F)) + 2*b^3*c^3*f*x^2*log(abs(F))^3 + 3*pi^2*b^3*c^3*d*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*d*log(abs(F)) + 2*b^3*c^3*d*log(abs(F))^3 - 3*pi^2*b^2*c^2*g*x^2*sgn(F) + 3*pi^2*b^2*c^2*g*x^2 - 6*b^2*c^2*g*x^2*log(abs(F))^2 - 2*pi^2*b^2*c^2*f*x*sgn(F) + 2*pi^2*b^2*c^2*f*x - 4*b^2*c^2*f*x*log(abs(F))^2 + 12*b*c*g*x*log(abs(F)) + 4*b*c*f*log(abs(F)) - 12*g)*(pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^2) - 4*(pi^3*b^3*c^3*g*x^3*sgn(F) - 3*pi*b^3*c^3*g*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*g*x^3 + 3*pi*b^3*c^3*g*x^3*log(abs(F))^2 + pi^3*b^3*c^3*f*x^2*sgn(F) - 3*pi*b^3*c^3*f*x^2*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*f*x^2 + 3*pi*b^3*c^3*f*x^2*log(abs(F))^2 + pi^3*b^3*c^3*d*sgn(F) - 3*pi*b^3*c^3*d*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*d + 3*pi*b^3*c^3*d*log(abs(F))^2 + 6*pi*b^2*c^2*g*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*c^2*g*x^2*log(abs(F)) + 4*pi*b^2*c^2*f*x*log(abs(F))*sgn(F) - 4*pi*b^2*c^2*f*x*log(abs(F)) - 6*pi*b*c*g*x*sgn(F) + 6*pi*b*c*g*x - 2*pi*b*c*f*sgn(F) + 2*pi*b*c*f)*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^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) - ((pi^3*b^3*c^3*g*x^3*sgn(F) - 3*pi*b^3*c^3*g*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*g*x^3 + 3*pi*b^3*c^3*g*x^3*log(abs(F))^2 + pi^3*b^3*c^3*f*x^2*sgn(F) - 3*pi*b^3*c^3*f*x^2*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*f*x^2 + 3*pi*b^3*c^3*f*x^2*log(abs(F))^2 + pi^3*b^3*c^3*d*sgn(F) - 3*pi*b^3*c^3*d*log(abs(F))^2*sgn(F) - pi^3*b^3*c^3*d + 3*pi*b^3*c^3*d*log(abs(F))^2 + 6*pi*b^2*c^2*g*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*c^2*g*x^2*log(abs(F)) + 4*pi*b^2*c^2*f*x*log(abs(F))*sgn(F) - 4*pi*b^2*c^2*f*x*log(abs(F)) - 6*pi*b*c*g*x*sgn(F) + 6*pi*b*c*g*x - 2*pi*b*c*f*sgn(F) + 2*pi*b*c*f)*(pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^2) + 4*(3*pi^2*b^3*c^3*g*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*g*x^3*log(abs(F)) + 2*b^3*c^3*g*x^3*log(abs(F))^3 + 3*pi^2*b^3*c^3*f*x^2*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*f*x^2*log(abs(F)) + 2*b^3*c^3*f*x^2*log(abs(F))^3 + 3*pi^2*b^3*c^3*d*log(abs(F))*sgn(F) - 3*pi^2*b^3*c^3*d*log(abs(F)) + 2*b^3*c^3*d*log(abs(F))^3 - 3*pi^2*b^2*c^2*g*x^2*sgn(F) + 3*pi^2*b^2*c^2*g*x^2 - 6*b^2*c^2*g*x^2*log(abs(F))^2 - 2*pi^2*b^2*c^2*f*x*sgn(F) + 2*pi^2*b^2*c^2*f*x - 4*b^2*c^2*f*x*log(abs(F))^2 + 12*b*c*g*x*log(abs(F)) + 4*b*c*f*log(abs(F)) - 12*g)*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)/((pi^4*b^4*c^4*sgn(F) - 6*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4 + 6*pi^2*b^4*c^4*log(abs(F))^2 - 2*b^4*c^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*c^4*log(abs(F))*sgn(F) - pi*b^4*c^4*log(abs(F))^3*sgn(F) - pi^3*b^4*c^4*log(abs(F)) + pi*b^4*c^4*log(abs(F))^3)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*((8*pi^3*b^3*c^3*g*x^3*sgn(F) + 24*I*pi^2*b^3*c^3*g*x^3*log(abs(F))*sgn(F) - 24*pi*b^3*c^3*g*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*c^3*g*x^3 - 24*I*pi^2*b^3*c^3*g*x^3*log(abs(F)) + 24*pi*b^3*c^3*g*x^3*log(abs(F))^2 + 16*I*b^3*c^3*g*x^3*log(abs(F))^3 + 8*pi^3*b^3*c^3*f*x^2*sgn(F) + 24*I*pi^2*b^3*c^3*f*x^2*log(abs(F))*sgn(F) - 24*pi*b^3*c^3*f*x^2*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*c^3*f*x^2 - 24*I*pi^2*b^3*c^3*f*x^2*log(abs(F)) + 24*pi*b^3*c^3*f*x^2*log(abs(F))^2 + 16*I*b^3*c^3*f*x^2*log(abs(F))^3 + 8*pi^3*b^3*c^3*d*sgn(F) + 24*I*pi^2*b^3*c^3*d*log(abs(F))*sgn(F) - 24*pi*b^3*c^3*d*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*c^3*d - 24*I*pi^2*b^3*c^3*d*log(abs(F)) + 24*pi*b^3*c^3*d*log(abs(F))^2 + 16*I*b^3*c^3*d*log(abs(F))^3 - 24*I*pi^2*b^2*c^2*g*x^2*sgn(F) + 48*pi*b^2*c^2*g*x^2*log(abs(F))*sgn(F) + 24*I*pi^2*b^2*c^2*g*x^2 - 48*pi*b^2*c^2*g*x^2*log(abs(F)) - 48*I*b^2*c^2*g*x^2*log(abs(F))^2 - 16*I*pi^2*b^2*c^2*f*x*sgn(F) + 32*pi*b^2*c^2*f*x*log(abs(F))*sgn(F) + 16*I*pi^2*b^2*c^2*f*x - 32*pi*b^2*c^2*f*x*log(abs(F)) - 32*I*b^2*c^2*f*x*log(abs(F))^2 - 48*pi*b*c*g*x*sgn(F) + 48*pi*b*c*g*x + 96*I*b*c*g*x*log(abs(F)) - 16*pi*b*c*f*sgn(F) + 16*pi*b*c*f + 32*I*b*c*f*log(abs(F)) - 96*I*g)*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)/(8*pi^4*b^4*c^4*sgn(F) + 32*I*pi^3*b^4*c^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) - 32*I*pi*b^4*c^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*c^4 - 32*I*pi^3*b^4*c^4*log(abs(F)) + 48*pi^2*b^4*c^4*log(abs(F))^2 + 32*I*pi*b^4*c^4*log(abs(F))^3 - 16*b^4*c^4*log(abs(F))^4) + (8*pi^3*b^3*c^3*g*x^3*sgn(F) - 24*I*pi^2*b^3*c^3*g*x^3*log(abs(F))*sgn(F) - 24*pi*b^3*c^3*g*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*c^3*g*x^3 + 24*I*pi^2*b^3*c^3*g*x^3*log(abs(F)) + 24*pi*b^3*c^3*g*x^3*log(abs(F))^2 - 16*I*b^3*c^3*g*x^3*log(abs(F))^3 + 8*pi^3*b^3*c^3*f*x^2*sgn(F) - 24*I*pi^2*b^3*c^3*f*x^2*log(abs(F))*sgn(F) - 24*pi*b^3*c^3*f*x^2*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*c^3*f*x^2 + 24*I*pi^2*b^3*c^3*f*x^2*log(abs(F)) + 24*pi*b^3*c^3*f*x^2*log(abs(F))^2 - 16*I*b^3*c^3*f*x^2*log(abs(F))^3 + 8*pi^3*b^3*c^3*d*sgn(F) - 24*I*pi^2*b^3*c^3*d*log(abs(F))*sgn(F) - 24*pi*b^3*c^3*d*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*c^3*d + 24*I*pi^2*b^3*c^3*d*log(abs(F)) + 24*pi*b^3*c^3*d*log(abs(F))^2 - 16*I*b^3*c^3*d*log(abs(F))^3 + 24*I*pi^2*b^2*c^2*g*x^2*sgn(F) + 48*pi*b^2*c^2*g*x^2*log(abs(F))*sgn(F) - 24*I*pi^2*b^2*c^2*g*x^2 - 48*pi*b^2*c^2*g*x^2*log(abs(F)) + 48*I*b^2*c^2*g*x^2*log(abs(F))^2 + 16*I*pi^2*b^2*c^2*f*x*sgn(F) + 32*pi*b^2*c^2*f*x*log(abs(F))*sgn(F) - 16*I*pi^2*b^2*c^2*f*x - 32*pi*b^2*c^2*f*x*log(abs(F)) + 32*I*b^2*c^2*f*x*log(abs(F))^2 - 48*pi*b*c*g*x*sgn(F) + 48*pi*b*c*g*x - 96*I*b*c*g*x*log(abs(F)) - 16*pi*b*c*f*sgn(F) + 16*pi*b*c*f - 32*I*b*c*f*log(abs(F)) + 96*I*g)*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)/(8*pi^4*b^4*c^4*sgn(F) - 32*I*pi^3*b^4*c^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*c^4*log(abs(F))^2*sgn(F) + 32*I*pi*b^4*c^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*c^4 + 32*I*pi^3*b^4*c^4*log(abs(F)) + 48*pi^2*b^4*c^4*log(abs(F))^2 - 32*I*pi*b^4*c^4*log(abs(F))^3 - 16*b^4*c^4*log(abs(F))^4))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
54,1,7425,0,1.314451," ","integrate(F^(c*(b*x+a))*(h*x^4+g*x^3+f*x^2+e*x+d),x, algorithm=""giac"")","{\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)\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x\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}\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)\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}\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}\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)\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\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}\right)} {\left(\pi b c x \mathrm{sgn}\left(F\right) - \pi b c x\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}\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)\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)\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}\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)\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\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 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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{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 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\right)}}{2 \, \pi^{2} b^{2} c^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c^{2} + 4 i \, \pi b^{2} c^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} c^{2} \log\left({\left| F \right|}\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({\left(\frac{{\left(4 \, \pi^{3} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 4 \, \pi^{3} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right) + 4 \, \pi b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{3} + 4 \, \pi^{3} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 4 \, \pi^{3} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right) + 4 \, \pi b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{3} + 4 \, \pi^{3} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 4 \, \pi^{3} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right) + 4 \, \pi b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{3} - 4 \, \pi^{3} b^{3} c^{3} h x^{3} \mathrm{sgn}\left(F\right) + 4 \, \pi^{3} b^{4} c^{4} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 \, \pi b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 \, \pi b^{4} c^{4} d \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 4 \, \pi^{3} b^{3} c^{3} h x^{3} - 4 \, \pi^{3} b^{4} c^{4} d \log\left({\left| F \right|}\right) - 12 \, \pi b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{2} + 4 \, \pi b^{4} c^{4} d \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{3} b^{3} c^{3} g x^{2} \mathrm{sgn}\left(F\right) + 9 \, \pi b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{3} b^{3} c^{3} g x^{2} - 9 \, \pi b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, \pi^{3} b^{3} c^{3} f x \mathrm{sgn}\left(F\right) + 6 \, \pi b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 2 \, \pi^{3} b^{3} c^{3} f x - 6 \, \pi b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{2} - 24 \, \pi b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 24 \, \pi b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right) - 12 \, \pi b^{2} c^{2} g x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 \, \pi b^{2} c^{2} g x \log\left({\left| F \right|}\right) - 4 \, \pi b^{2} c^{2} f \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 4 \, \pi b^{2} c^{2} f \log\left({\left| F \right|}\right) + 24 \, \pi b c h x \mathrm{sgn}\left(F\right) - 24 \, \pi b c h x + 6 \, \pi b c g \mathrm{sgn}\left(F\right) - 6 \, \pi b c g\right)} {\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} - \frac{{\left(\pi^{4} b^{4} c^{4} h x^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} h x^{4} + 6 \, \pi^{2} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{4} + \pi^{4} b^{4} c^{4} g x^{3} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} g x^{3} + 6 \, \pi^{2} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{4} + \pi^{4} b^{4} c^{4} f x^{2} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} f x^{2} + 6 \, \pi^{2} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{4} + \pi^{4} b^{4} c^{4} d \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} d \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} d - 12 \, \pi^{2} b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right) + 6 \, \pi^{2} b^{4} c^{4} d \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{4} c^{4} d \log\left({\left| F \right|}\right)^{4} + 9 \, \pi^{2} b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 9 \, \pi^{2} b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right) + 6 \, b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{3} + 6 \, \pi^{2} b^{3} c^{3} f x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{3} c^{3} f x \log\left({\left| F \right|}\right) + 4 \, b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{3} - 12 \, \pi^{2} b^{2} c^{2} h x^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{2} c^{2} h x^{2} - 24 \, b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi^{2} b^{2} c^{2} g x \mathrm{sgn}\left(F\right) + 6 \, \pi^{2} b^{2} c^{2} g x - 12 \, b^{2} c^{2} g x \log\left({\left| F \right|}\right)^{2} - 2 \, \pi^{2} b^{2} c^{2} f \mathrm{sgn}\left(F\right) + 2 \, \pi^{2} b^{2} c^{2} f - 4 \, b^{2} c^{2} f \log\left({\left| F \right|}\right)^{2} + 48 \, b c h x \log\left({\left| F \right|}\right) + 12 \, b c g \log\left({\left| F \right|}\right) - 48 \, h\right)} {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\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\right) - {\left(\frac{{\left(\pi^{4} b^{4} c^{4} h x^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} h x^{4} + 6 \, \pi^{2} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{4} + \pi^{4} b^{4} c^{4} g x^{3} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} g x^{3} + 6 \, \pi^{2} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{4} + \pi^{4} b^{4} c^{4} f x^{2} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} f x^{2} + 6 \, \pi^{2} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{4} + \pi^{4} b^{4} c^{4} d \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} c^{4} d \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} c^{4} d - 12 \, \pi^{2} b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right) + 6 \, \pi^{2} b^{4} c^{4} d \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{4} c^{4} d \log\left({\left| F \right|}\right)^{4} + 9 \, \pi^{2} b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 9 \, \pi^{2} b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right) + 6 \, b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{3} + 6 \, \pi^{2} b^{3} c^{3} f x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{3} c^{3} f x \log\left({\left| F \right|}\right) + 4 \, b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{3} - 12 \, \pi^{2} b^{2} c^{2} h x^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{2} c^{2} h x^{2} - 24 \, b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi^{2} b^{2} c^{2} g x \mathrm{sgn}\left(F\right) + 6 \, \pi^{2} b^{2} c^{2} g x - 12 \, b^{2} c^{2} g x \log\left({\left| F \right|}\right)^{2} - 2 \, \pi^{2} b^{2} c^{2} f \mathrm{sgn}\left(F\right) + 2 \, \pi^{2} b^{2} c^{2} f - 4 \, b^{2} c^{2} f \log\left({\left| F \right|}\right)^{2} + 48 \, b c h x \log\left({\left| F \right|}\right) + 12 \, b c g \log\left({\left| F \right|}\right) - 48 \, h\right)} {\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} + \frac{{\left(4 \, \pi^{3} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 4 \, \pi^{3} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right) + 4 \, \pi b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{3} + 4 \, \pi^{3} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 4 \, \pi^{3} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right) + 4 \, \pi b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{3} + 4 \, \pi^{3} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 4 \, \pi^{3} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right) + 4 \, \pi b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{3} - 4 \, \pi^{3} b^{3} c^{3} h x^{3} \mathrm{sgn}\left(F\right) + 4 \, \pi^{3} b^{4} c^{4} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 \, \pi b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 \, \pi b^{4} c^{4} d \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 4 \, \pi^{3} b^{3} c^{3} h x^{3} - 4 \, \pi^{3} b^{4} c^{4} d \log\left({\left| F \right|}\right) - 12 \, \pi b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{2} + 4 \, \pi b^{4} c^{4} d \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{3} b^{3} c^{3} g x^{2} \mathrm{sgn}\left(F\right) + 9 \, \pi b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{3} b^{3} c^{3} g x^{2} - 9 \, \pi b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, \pi^{3} b^{3} c^{3} f x \mathrm{sgn}\left(F\right) + 6 \, \pi b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 2 \, \pi^{3} b^{3} c^{3} f x - 6 \, \pi b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{2} - 24 \, \pi b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 24 \, \pi b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right) - 12 \, \pi b^{2} c^{2} g x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 \, \pi b^{2} c^{2} g x \log\left({\left| F \right|}\right) - 4 \, \pi b^{2} c^{2} f \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 4 \, \pi b^{2} c^{2} f \log\left({\left| F \right|}\right) + 24 \, \pi b c h x \mathrm{sgn}\left(F\right) - 24 \, \pi b c h x + 6 \, \pi b c g \mathrm{sgn}\left(F\right) - 6 \, \pi b c g\right)} {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} c^{5} + 10 \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}\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\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{{\left(-16 i \, \pi^{4} b^{4} c^{4} h x^{4} \mathrm{sgn}\left(F\right) + 64 \, \pi^{3} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 64 \, \pi b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} h x^{4} - 64 \, \pi^{3} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{2} + 64 \, \pi b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{4} - 16 i \, \pi^{4} b^{4} c^{4} g x^{3} \mathrm{sgn}\left(F\right) + 64 \, \pi^{3} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 64 \, \pi b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} g x^{3} - 64 \, \pi^{3} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{2} + 64 \, \pi b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{4} - 16 i \, \pi^{4} b^{4} c^{4} f x^{2} \mathrm{sgn}\left(F\right) + 64 \, \pi^{3} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 64 \, \pi b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} f x^{2} - 64 \, \pi^{3} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{2} + 64 \, \pi b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{4} - 16 i \, \pi^{4} b^{4} c^{4} d \mathrm{sgn}\left(F\right) - 64 \, \pi^{3} b^{3} c^{3} h x^{3} \mathrm{sgn}\left(F\right) + 64 \, \pi^{3} b^{4} c^{4} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} d \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 192 \, \pi b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 64 \, \pi b^{4} c^{4} d \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} d + 64 \, \pi^{3} b^{3} c^{3} h x^{3} - 64 \, \pi^{3} b^{4} c^{4} d \log\left({\left| F \right|}\right) + 192 i \, \pi^{2} b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} d \log\left({\left| F \right|}\right)^{2} - 192 \, \pi b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{2} + 64 \, \pi b^{4} c^{4} d \log\left({\left| F \right|}\right)^{3} - 128 i \, b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} d \log\left({\left| F \right|}\right)^{4} - 48 \, \pi^{3} b^{3} c^{3} g x^{2} \mathrm{sgn}\left(F\right) - 144 i \, \pi^{2} b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 144 \, \pi b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi^{3} b^{3} c^{3} g x^{2} + 144 i \, \pi^{2} b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right) - 144 \, \pi b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{2} - 96 i \, b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{3} - 32 \, \pi^{3} b^{3} c^{3} f x \mathrm{sgn}\left(F\right) - 96 i \, \pi^{2} b^{3} c^{3} f x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 \, \pi b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 32 \, \pi^{3} b^{3} c^{3} f x + 96 i \, \pi^{2} b^{3} c^{3} f x \log\left({\left| F \right|}\right) - 96 \, \pi b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{2} - 64 i \, b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{3} + 192 i \, \pi^{2} b^{2} c^{2} h x^{2} \mathrm{sgn}\left(F\right) - 384 \, \pi b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{2} c^{2} h x^{2} + 384 \, \pi b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right) + 384 i \, b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right)^{2} + 96 i \, \pi^{2} b^{2} c^{2} g x \mathrm{sgn}\left(F\right) - 192 \, \pi b^{2} c^{2} g x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 96 i \, \pi^{2} b^{2} c^{2} g x + 192 \, \pi b^{2} c^{2} g x \log\left({\left| F \right|}\right) + 192 i \, b^{2} c^{2} g x \log\left({\left| F \right|}\right)^{2} + 32 i \, \pi^{2} b^{2} c^{2} f \mathrm{sgn}\left(F\right) - 64 \, \pi b^{2} c^{2} f \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 32 i \, \pi^{2} b^{2} c^{2} f + 64 \, \pi b^{2} c^{2} f \log\left({\left| F \right|}\right) + 64 i \, b^{2} c^{2} f \log\left({\left| F \right|}\right)^{2} + 384 \, \pi b c h x \mathrm{sgn}\left(F\right) - 384 \, \pi b c h x - 768 i \, b c h x \log\left({\left| F \right|}\right) + 96 \, \pi b c g \mathrm{sgn}\left(F\right) - 96 \, \pi b c g - 192 i \, b c g \log\left({\left| F \right|}\right) + 768 i \, h\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\right)}}{16 i \, \pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - 16 i \, \pi^{5} b^{5} c^{5} + 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) + 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} - 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} + 32 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}} - \frac{{\left(-16 i \, \pi^{4} b^{4} c^{4} h x^{4} \mathrm{sgn}\left(F\right) - 64 \, \pi^{3} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 64 \, \pi b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} h x^{4} + 64 \, \pi^{3} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{2} - 64 \, \pi b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} h x^{4} \log\left({\left| F \right|}\right)^{4} - 16 i \, \pi^{4} b^{4} c^{4} g x^{3} \mathrm{sgn}\left(F\right) - 64 \, \pi^{3} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 64 \, \pi b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} g x^{3} + 64 \, \pi^{3} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{2} - 64 \, \pi b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} g x^{3} \log\left({\left| F \right|}\right)^{4} - 16 i \, \pi^{4} b^{4} c^{4} f x^{2} \mathrm{sgn}\left(F\right) - 64 \, \pi^{3} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 64 \, \pi b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} f x^{2} + 64 \, \pi^{3} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{2} - 64 \, \pi b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} f x^{2} \log\left({\left| F \right|}\right)^{4} - 16 i \, \pi^{4} b^{4} c^{4} d \mathrm{sgn}\left(F\right) + 64 \, \pi^{3} b^{3} c^{3} h x^{3} \mathrm{sgn}\left(F\right) - 64 \, \pi^{3} b^{4} c^{4} d \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} c^{4} d \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 192 \, \pi b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 64 \, \pi b^{4} c^{4} d \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} c^{4} d - 64 \, \pi^{3} b^{3} c^{3} h x^{3} + 64 \, \pi^{3} b^{4} c^{4} d \log\left({\left| F \right|}\right) + 192 i \, \pi^{2} b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} c^{4} d \log\left({\left| F \right|}\right)^{2} + 192 \, \pi b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{2} - 64 \, \pi b^{4} c^{4} d \log\left({\left| F \right|}\right)^{3} - 128 i \, b^{3} c^{3} h x^{3} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} c^{4} d \log\left({\left| F \right|}\right)^{4} + 48 \, \pi^{3} b^{3} c^{3} g x^{2} \mathrm{sgn}\left(F\right) - 144 i \, \pi^{2} b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 144 \, \pi b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 48 \, \pi^{3} b^{3} c^{3} g x^{2} + 144 i \, \pi^{2} b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right) + 144 \, \pi b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{2} - 96 i \, b^{3} c^{3} g x^{2} \log\left({\left| F \right|}\right)^{3} + 32 \, \pi^{3} b^{3} c^{3} f x \mathrm{sgn}\left(F\right) - 96 i \, \pi^{2} b^{3} c^{3} f x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 96 \, \pi b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 \, \pi^{3} b^{3} c^{3} f x + 96 i \, \pi^{2} b^{3} c^{3} f x \log\left({\left| F \right|}\right) + 96 \, \pi b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{2} - 64 i \, b^{3} c^{3} f x \log\left({\left| F \right|}\right)^{3} + 192 i \, \pi^{2} b^{2} c^{2} h x^{2} \mathrm{sgn}\left(F\right) + 384 \, \pi b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{2} c^{2} h x^{2} - 384 \, \pi b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right) + 384 i \, b^{2} c^{2} h x^{2} \log\left({\left| F \right|}\right)^{2} + 96 i \, \pi^{2} b^{2} c^{2} g x \mathrm{sgn}\left(F\right) + 192 \, \pi b^{2} c^{2} g x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 96 i \, \pi^{2} b^{2} c^{2} g x - 192 \, \pi b^{2} c^{2} g x \log\left({\left| F \right|}\right) + 192 i \, b^{2} c^{2} g x \log\left({\left| F \right|}\right)^{2} + 32 i \, \pi^{2} b^{2} c^{2} f \mathrm{sgn}\left(F\right) + 64 \, \pi b^{2} c^{2} f \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 32 i \, \pi^{2} b^{2} c^{2} f - 64 \, \pi b^{2} c^{2} f \log\left({\left| F \right|}\right) + 64 i \, b^{2} c^{2} f \log\left({\left| F \right|}\right)^{2} - 384 \, \pi b c h x \mathrm{sgn}\left(F\right) + 384 \, \pi b c h x - 768 i \, b c h x \log\left({\left| F \right|}\right) - 96 \, \pi b c g \mathrm{sgn}\left(F\right) + 96 \, \pi b c g - 192 i \, b c g \log\left({\left| F \right|}\right) + 768 i \, h\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\right)}}{-16 i \, \pi^{5} b^{5} c^{5} \mathrm{sgn}\left(F\right) - 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{5} b^{5} c^{5} + 80 \, \pi^{4} b^{5} c^{5} \log\left({\left| F \right|}\right) - 160 i \, \pi^{3} b^{5} c^{5} \log\left({\left| F \right|}\right)^{2} - 160 \, \pi^{2} b^{5} c^{5} \log\left({\left| F \right|}\right)^{3} + 80 i \, \pi b^{5} c^{5} \log\left({\left| F \right|}\right)^{4} + 32 \, b^{5} c^{5} \log\left({\left| F \right|}\right)^{5}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)}"," ",0,"(2*((pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))*(pi*b*c*x*sgn(F) - pi*b*c*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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)*(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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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) + ((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)*(pi*b*c*x*sgn(F) - pi*b*c*x)/((pi^2*b^2*c^2*sgn(F) - pi^2*b^2*c^2 + 2*b^2*c^2*log(abs(F))^2)^2 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*log(abs(F)))^2) - 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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 + 4*(pi*b^2*c^2*log(abs(F))*sgn(F) - pi*b^2*c^2*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))*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*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*pi^2*b^2*c^2*sgn(F) + 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 - 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2) + (2*pi*b*c*x*sgn(F) - 2*pi*b*c*x + 4*I*b*c*x*log(abs(F)) - 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)/(2*pi^2*b^2*c^2*sgn(F) - 4*I*pi*b^2*c^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*c^2 + 4*I*pi*b^2*c^2*log(abs(F)) + 4*b^2*c^2*log(abs(F))^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)) + 1) - (((4*pi^3*b^4*c^4*h*x^4*log(abs(F))*sgn(F) - 4*pi*b^4*c^4*h*x^4*log(abs(F))^3*sgn(F) - 4*pi^3*b^4*c^4*h*x^4*log(abs(F)) + 4*pi*b^4*c^4*h*x^4*log(abs(F))^3 + 4*pi^3*b^4*c^4*g*x^3*log(abs(F))*sgn(F) - 4*pi*b^4*c^4*g*x^3*log(abs(F))^3*sgn(F) - 4*pi^3*b^4*c^4*g*x^3*log(abs(F)) + 4*pi*b^4*c^4*g*x^3*log(abs(F))^3 + 4*pi^3*b^4*c^4*f*x^2*log(abs(F))*sgn(F) - 4*pi*b^4*c^4*f*x^2*log(abs(F))^3*sgn(F) - 4*pi^3*b^4*c^4*f*x^2*log(abs(F)) + 4*pi*b^4*c^4*f*x^2*log(abs(F))^3 - 4*pi^3*b^3*c^3*h*x^3*sgn(F) + 4*pi^3*b^4*c^4*d*log(abs(F))*sgn(F) + 12*pi*b^3*c^3*h*x^3*log(abs(F))^2*sgn(F) - 4*pi*b^4*c^4*d*log(abs(F))^3*sgn(F) + 4*pi^3*b^3*c^3*h*x^3 - 4*pi^3*b^4*c^4*d*log(abs(F)) - 12*pi*b^3*c^3*h*x^3*log(abs(F))^2 + 4*pi*b^4*c^4*d*log(abs(F))^3 - 3*pi^3*b^3*c^3*g*x^2*sgn(F) + 9*pi*b^3*c^3*g*x^2*log(abs(F))^2*sgn(F) + 3*pi^3*b^3*c^3*g*x^2 - 9*pi*b^3*c^3*g*x^2*log(abs(F))^2 - 2*pi^3*b^3*c^3*f*x*sgn(F) + 6*pi*b^3*c^3*f*x*log(abs(F))^2*sgn(F) + 2*pi^3*b^3*c^3*f*x - 6*pi*b^3*c^3*f*x*log(abs(F))^2 - 24*pi*b^2*c^2*h*x^2*log(abs(F))*sgn(F) + 24*pi*b^2*c^2*h*x^2*log(abs(F)) - 12*pi*b^2*c^2*g*x*log(abs(F))*sgn(F) + 12*pi*b^2*c^2*g*x*log(abs(F)) - 4*pi*b^2*c^2*f*log(abs(F))*sgn(F) + 4*pi*b^2*c^2*f*log(abs(F)) + 24*pi*b*c*h*x*sgn(F) - 24*pi*b*c*h*x + 6*pi*b*c*g*sgn(F) - 6*pi*b*c*g)*(pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^2) - (pi^4*b^4*c^4*h*x^4*sgn(F) - 6*pi^2*b^4*c^4*h*x^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*h*x^4 + 6*pi^2*b^4*c^4*h*x^4*log(abs(F))^2 - 2*b^4*c^4*h*x^4*log(abs(F))^4 + pi^4*b^4*c^4*g*x^3*sgn(F) - 6*pi^2*b^4*c^4*g*x^3*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*g*x^3 + 6*pi^2*b^4*c^4*g*x^3*log(abs(F))^2 - 2*b^4*c^4*g*x^3*log(abs(F))^4 + pi^4*b^4*c^4*f*x^2*sgn(F) - 6*pi^2*b^4*c^4*f*x^2*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*f*x^2 + 6*pi^2*b^4*c^4*f*x^2*log(abs(F))^2 - 2*b^4*c^4*f*x^2*log(abs(F))^4 + pi^4*b^4*c^4*d*sgn(F) + 12*pi^2*b^3*c^3*h*x^3*log(abs(F))*sgn(F) - 6*pi^2*b^4*c^4*d*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*d - 12*pi^2*b^3*c^3*h*x^3*log(abs(F)) + 6*pi^2*b^4*c^4*d*log(abs(F))^2 + 8*b^3*c^3*h*x^3*log(abs(F))^3 - 2*b^4*c^4*d*log(abs(F))^4 + 9*pi^2*b^3*c^3*g*x^2*log(abs(F))*sgn(F) - 9*pi^2*b^3*c^3*g*x^2*log(abs(F)) + 6*b^3*c^3*g*x^2*log(abs(F))^3 + 6*pi^2*b^3*c^3*f*x*log(abs(F))*sgn(F) - 6*pi^2*b^3*c^3*f*x*log(abs(F)) + 4*b^3*c^3*f*x*log(abs(F))^3 - 12*pi^2*b^2*c^2*h*x^2*sgn(F) + 12*pi^2*b^2*c^2*h*x^2 - 24*b^2*c^2*h*x^2*log(abs(F))^2 - 6*pi^2*b^2*c^2*g*x*sgn(F) + 6*pi^2*b^2*c^2*g*x - 12*b^2*c^2*g*x*log(abs(F))^2 - 2*pi^2*b^2*c^2*f*sgn(F) + 2*pi^2*b^2*c^2*f - 4*b^2*c^2*f*log(abs(F))^2 + 48*b*c*h*x*log(abs(F)) + 12*b*c*g*log(abs(F)) - 48*h)*(5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^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) - ((pi^4*b^4*c^4*h*x^4*sgn(F) - 6*pi^2*b^4*c^4*h*x^4*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*h*x^4 + 6*pi^2*b^4*c^4*h*x^4*log(abs(F))^2 - 2*b^4*c^4*h*x^4*log(abs(F))^4 + pi^4*b^4*c^4*g*x^3*sgn(F) - 6*pi^2*b^4*c^4*g*x^3*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*g*x^3 + 6*pi^2*b^4*c^4*g*x^3*log(abs(F))^2 - 2*b^4*c^4*g*x^3*log(abs(F))^4 + pi^4*b^4*c^4*f*x^2*sgn(F) - 6*pi^2*b^4*c^4*f*x^2*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*f*x^2 + 6*pi^2*b^4*c^4*f*x^2*log(abs(F))^2 - 2*b^4*c^4*f*x^2*log(abs(F))^4 + pi^4*b^4*c^4*d*sgn(F) + 12*pi^2*b^3*c^3*h*x^3*log(abs(F))*sgn(F) - 6*pi^2*b^4*c^4*d*log(abs(F))^2*sgn(F) - pi^4*b^4*c^4*d - 12*pi^2*b^3*c^3*h*x^3*log(abs(F)) + 6*pi^2*b^4*c^4*d*log(abs(F))^2 + 8*b^3*c^3*h*x^3*log(abs(F))^3 - 2*b^4*c^4*d*log(abs(F))^4 + 9*pi^2*b^3*c^3*g*x^2*log(abs(F))*sgn(F) - 9*pi^2*b^3*c^3*g*x^2*log(abs(F)) + 6*b^3*c^3*g*x^2*log(abs(F))^3 + 6*pi^2*b^3*c^3*f*x*log(abs(F))*sgn(F) - 6*pi^2*b^3*c^3*f*x*log(abs(F)) + 4*b^3*c^3*f*x*log(abs(F))^3 - 12*pi^2*b^2*c^2*h*x^2*sgn(F) + 12*pi^2*b^2*c^2*h*x^2 - 24*b^2*c^2*h*x^2*log(abs(F))^2 - 6*pi^2*b^2*c^2*g*x*sgn(F) + 6*pi^2*b^2*c^2*g*x - 12*b^2*c^2*g*x*log(abs(F))^2 - 2*pi^2*b^2*c^2*f*sgn(F) + 2*pi^2*b^2*c^2*f - 4*b^2*c^2*f*log(abs(F))^2 + 48*b*c*h*x*log(abs(F)) + 12*b*c*g*log(abs(F)) - 48*h)*(pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^2) + (4*pi^3*b^4*c^4*h*x^4*log(abs(F))*sgn(F) - 4*pi*b^4*c^4*h*x^4*log(abs(F))^3*sgn(F) - 4*pi^3*b^4*c^4*h*x^4*log(abs(F)) + 4*pi*b^4*c^4*h*x^4*log(abs(F))^3 + 4*pi^3*b^4*c^4*g*x^3*log(abs(F))*sgn(F) - 4*pi*b^4*c^4*g*x^3*log(abs(F))^3*sgn(F) - 4*pi^3*b^4*c^4*g*x^3*log(abs(F)) + 4*pi*b^4*c^4*g*x^3*log(abs(F))^3 + 4*pi^3*b^4*c^4*f*x^2*log(abs(F))*sgn(F) - 4*pi*b^4*c^4*f*x^2*log(abs(F))^3*sgn(F) - 4*pi^3*b^4*c^4*f*x^2*log(abs(F)) + 4*pi*b^4*c^4*f*x^2*log(abs(F))^3 - 4*pi^3*b^3*c^3*h*x^3*sgn(F) + 4*pi^3*b^4*c^4*d*log(abs(F))*sgn(F) + 12*pi*b^3*c^3*h*x^3*log(abs(F))^2*sgn(F) - 4*pi*b^4*c^4*d*log(abs(F))^3*sgn(F) + 4*pi^3*b^3*c^3*h*x^3 - 4*pi^3*b^4*c^4*d*log(abs(F)) - 12*pi*b^3*c^3*h*x^3*log(abs(F))^2 + 4*pi*b^4*c^4*d*log(abs(F))^3 - 3*pi^3*b^3*c^3*g*x^2*sgn(F) + 9*pi*b^3*c^3*g*x^2*log(abs(F))^2*sgn(F) + 3*pi^3*b^3*c^3*g*x^2 - 9*pi*b^3*c^3*g*x^2*log(abs(F))^2 - 2*pi^3*b^3*c^3*f*x*sgn(F) + 6*pi*b^3*c^3*f*x*log(abs(F))^2*sgn(F) + 2*pi^3*b^3*c^3*f*x - 6*pi*b^3*c^3*f*x*log(abs(F))^2 - 24*pi*b^2*c^2*h*x^2*log(abs(F))*sgn(F) + 24*pi*b^2*c^2*h*x^2*log(abs(F)) - 12*pi*b^2*c^2*g*x*log(abs(F))*sgn(F) + 12*pi*b^2*c^2*g*x*log(abs(F)) - 4*pi*b^2*c^2*f*log(abs(F))*sgn(F) + 4*pi*b^2*c^2*f*log(abs(F)) + 24*pi*b*c*h*x*sgn(F) - 24*pi*b*c*h*x + 6*pi*b*c*g*sgn(F) - 6*pi*b*c*g)*(5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)/((pi^5*b^5*c^5*sgn(F) - 10*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*c^5*log(abs(F))^4*sgn(F) - pi^5*b^5*c^5 + 10*pi^3*b^5*c^5*log(abs(F))^2 - 5*pi*b^5*c^5*log(abs(F))^4)^2 + (5*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*c^5*log(abs(F)) + 10*pi^2*b^5*c^5*log(abs(F))^3 - 2*b^5*c^5*log(abs(F))^5)^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))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*I*((-16*I*pi^4*b^4*c^4*h*x^4*sgn(F) + 64*pi^3*b^4*c^4*h*x^4*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*h*x^4*log(abs(F))^2*sgn(F) - 64*pi*b^4*c^4*h*x^4*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*h*x^4 - 64*pi^3*b^4*c^4*h*x^4*log(abs(F)) - 96*I*pi^2*b^4*c^4*h*x^4*log(abs(F))^2 + 64*pi*b^4*c^4*h*x^4*log(abs(F))^3 + 32*I*b^4*c^4*h*x^4*log(abs(F))^4 - 16*I*pi^4*b^4*c^4*g*x^3*sgn(F) + 64*pi^3*b^4*c^4*g*x^3*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*g*x^3*log(abs(F))^2*sgn(F) - 64*pi*b^4*c^4*g*x^3*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*g*x^3 - 64*pi^3*b^4*c^4*g*x^3*log(abs(F)) - 96*I*pi^2*b^4*c^4*g*x^3*log(abs(F))^2 + 64*pi*b^4*c^4*g*x^3*log(abs(F))^3 + 32*I*b^4*c^4*g*x^3*log(abs(F))^4 - 16*I*pi^4*b^4*c^4*f*x^2*sgn(F) + 64*pi^3*b^4*c^4*f*x^2*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*f*x^2*log(abs(F))^2*sgn(F) - 64*pi*b^4*c^4*f*x^2*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*f*x^2 - 64*pi^3*b^4*c^4*f*x^2*log(abs(F)) - 96*I*pi^2*b^4*c^4*f*x^2*log(abs(F))^2 + 64*pi*b^4*c^4*f*x^2*log(abs(F))^3 + 32*I*b^4*c^4*f*x^2*log(abs(F))^4 - 16*I*pi^4*b^4*c^4*d*sgn(F) - 64*pi^3*b^3*c^3*h*x^3*sgn(F) + 64*pi^3*b^4*c^4*d*log(abs(F))*sgn(F) - 192*I*pi^2*b^3*c^3*h*x^3*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*d*log(abs(F))^2*sgn(F) + 192*pi*b^3*c^3*h*x^3*log(abs(F))^2*sgn(F) - 64*pi*b^4*c^4*d*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*d + 64*pi^3*b^3*c^3*h*x^3 - 64*pi^3*b^4*c^4*d*log(abs(F)) + 192*I*pi^2*b^3*c^3*h*x^3*log(abs(F)) - 96*I*pi^2*b^4*c^4*d*log(abs(F))^2 - 192*pi*b^3*c^3*h*x^3*log(abs(F))^2 + 64*pi*b^4*c^4*d*log(abs(F))^3 - 128*I*b^3*c^3*h*x^3*log(abs(F))^3 + 32*I*b^4*c^4*d*log(abs(F))^4 - 48*pi^3*b^3*c^3*g*x^2*sgn(F) - 144*I*pi^2*b^3*c^3*g*x^2*log(abs(F))*sgn(F) + 144*pi*b^3*c^3*g*x^2*log(abs(F))^2*sgn(F) + 48*pi^3*b^3*c^3*g*x^2 + 144*I*pi^2*b^3*c^3*g*x^2*log(abs(F)) - 144*pi*b^3*c^3*g*x^2*log(abs(F))^2 - 96*I*b^3*c^3*g*x^2*log(abs(F))^3 - 32*pi^3*b^3*c^3*f*x*sgn(F) - 96*I*pi^2*b^3*c^3*f*x*log(abs(F))*sgn(F) + 96*pi*b^3*c^3*f*x*log(abs(F))^2*sgn(F) + 32*pi^3*b^3*c^3*f*x + 96*I*pi^2*b^3*c^3*f*x*log(abs(F)) - 96*pi*b^3*c^3*f*x*log(abs(F))^2 - 64*I*b^3*c^3*f*x*log(abs(F))^3 + 192*I*pi^2*b^2*c^2*h*x^2*sgn(F) - 384*pi*b^2*c^2*h*x^2*log(abs(F))*sgn(F) - 192*I*pi^2*b^2*c^2*h*x^2 + 384*pi*b^2*c^2*h*x^2*log(abs(F)) + 384*I*b^2*c^2*h*x^2*log(abs(F))^2 + 96*I*pi^2*b^2*c^2*g*x*sgn(F) - 192*pi*b^2*c^2*g*x*log(abs(F))*sgn(F) - 96*I*pi^2*b^2*c^2*g*x + 192*pi*b^2*c^2*g*x*log(abs(F)) + 192*I*b^2*c^2*g*x*log(abs(F))^2 + 32*I*pi^2*b^2*c^2*f*sgn(F) - 64*pi*b^2*c^2*f*log(abs(F))*sgn(F) - 32*I*pi^2*b^2*c^2*f + 64*pi*b^2*c^2*f*log(abs(F)) + 64*I*b^2*c^2*f*log(abs(F))^2 + 384*pi*b*c*h*x*sgn(F) - 384*pi*b*c*h*x - 768*I*b*c*h*x*log(abs(F)) + 96*pi*b*c*g*sgn(F) - 96*pi*b*c*g - 192*I*b*c*g*log(abs(F)) + 768*I*h)*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)/(16*I*pi^5*b^5*c^5*sgn(F) - 80*pi^4*b^5*c^5*log(abs(F))*sgn(F) - 160*I*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 160*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) + 80*I*pi*b^5*c^5*log(abs(F))^4*sgn(F) - 16*I*pi^5*b^5*c^5 + 80*pi^4*b^5*c^5*log(abs(F)) + 160*I*pi^3*b^5*c^5*log(abs(F))^2 - 160*pi^2*b^5*c^5*log(abs(F))^3 - 80*I*pi*b^5*c^5*log(abs(F))^4 + 32*b^5*c^5*log(abs(F))^5) - (-16*I*pi^4*b^4*c^4*h*x^4*sgn(F) - 64*pi^3*b^4*c^4*h*x^4*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*h*x^4*log(abs(F))^2*sgn(F) + 64*pi*b^4*c^4*h*x^4*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*h*x^4 + 64*pi^3*b^4*c^4*h*x^4*log(abs(F)) - 96*I*pi^2*b^4*c^4*h*x^4*log(abs(F))^2 - 64*pi*b^4*c^4*h*x^4*log(abs(F))^3 + 32*I*b^4*c^4*h*x^4*log(abs(F))^4 - 16*I*pi^4*b^4*c^4*g*x^3*sgn(F) - 64*pi^3*b^4*c^4*g*x^3*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*g*x^3*log(abs(F))^2*sgn(F) + 64*pi*b^4*c^4*g*x^3*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*g*x^3 + 64*pi^3*b^4*c^4*g*x^3*log(abs(F)) - 96*I*pi^2*b^4*c^4*g*x^3*log(abs(F))^2 - 64*pi*b^4*c^4*g*x^3*log(abs(F))^3 + 32*I*b^4*c^4*g*x^3*log(abs(F))^4 - 16*I*pi^4*b^4*c^4*f*x^2*sgn(F) - 64*pi^3*b^4*c^4*f*x^2*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*f*x^2*log(abs(F))^2*sgn(F) + 64*pi*b^4*c^4*f*x^2*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*f*x^2 + 64*pi^3*b^4*c^4*f*x^2*log(abs(F)) - 96*I*pi^2*b^4*c^4*f*x^2*log(abs(F))^2 - 64*pi*b^4*c^4*f*x^2*log(abs(F))^3 + 32*I*b^4*c^4*f*x^2*log(abs(F))^4 - 16*I*pi^4*b^4*c^4*d*sgn(F) + 64*pi^3*b^3*c^3*h*x^3*sgn(F) - 64*pi^3*b^4*c^4*d*log(abs(F))*sgn(F) - 192*I*pi^2*b^3*c^3*h*x^3*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*c^4*d*log(abs(F))^2*sgn(F) - 192*pi*b^3*c^3*h*x^3*log(abs(F))^2*sgn(F) + 64*pi*b^4*c^4*d*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*c^4*d - 64*pi^3*b^3*c^3*h*x^3 + 64*pi^3*b^4*c^4*d*log(abs(F)) + 192*I*pi^2*b^3*c^3*h*x^3*log(abs(F)) - 96*I*pi^2*b^4*c^4*d*log(abs(F))^2 + 192*pi*b^3*c^3*h*x^3*log(abs(F))^2 - 64*pi*b^4*c^4*d*log(abs(F))^3 - 128*I*b^3*c^3*h*x^3*log(abs(F))^3 + 32*I*b^4*c^4*d*log(abs(F))^4 + 48*pi^3*b^3*c^3*g*x^2*sgn(F) - 144*I*pi^2*b^3*c^3*g*x^2*log(abs(F))*sgn(F) - 144*pi*b^3*c^3*g*x^2*log(abs(F))^2*sgn(F) - 48*pi^3*b^3*c^3*g*x^2 + 144*I*pi^2*b^3*c^3*g*x^2*log(abs(F)) + 144*pi*b^3*c^3*g*x^2*log(abs(F))^2 - 96*I*b^3*c^3*g*x^2*log(abs(F))^3 + 32*pi^3*b^3*c^3*f*x*sgn(F) - 96*I*pi^2*b^3*c^3*f*x*log(abs(F))*sgn(F) - 96*pi*b^3*c^3*f*x*log(abs(F))^2*sgn(F) - 32*pi^3*b^3*c^3*f*x + 96*I*pi^2*b^3*c^3*f*x*log(abs(F)) + 96*pi*b^3*c^3*f*x*log(abs(F))^2 - 64*I*b^3*c^3*f*x*log(abs(F))^3 + 192*I*pi^2*b^2*c^2*h*x^2*sgn(F) + 384*pi*b^2*c^2*h*x^2*log(abs(F))*sgn(F) - 192*I*pi^2*b^2*c^2*h*x^2 - 384*pi*b^2*c^2*h*x^2*log(abs(F)) + 384*I*b^2*c^2*h*x^2*log(abs(F))^2 + 96*I*pi^2*b^2*c^2*g*x*sgn(F) + 192*pi*b^2*c^2*g*x*log(abs(F))*sgn(F) - 96*I*pi^2*b^2*c^2*g*x - 192*pi*b^2*c^2*g*x*log(abs(F)) + 192*I*b^2*c^2*g*x*log(abs(F))^2 + 32*I*pi^2*b^2*c^2*f*sgn(F) + 64*pi*b^2*c^2*f*log(abs(F))*sgn(F) - 32*I*pi^2*b^2*c^2*f - 64*pi*b^2*c^2*f*log(abs(F)) + 64*I*b^2*c^2*f*log(abs(F))^2 - 384*pi*b*c*h*x*sgn(F) + 384*pi*b*c*h*x - 768*I*b*c*h*x*log(abs(F)) - 96*pi*b*c*g*sgn(F) + 96*pi*b*c*g - 192*I*b*c*g*log(abs(F)) + 768*I*h)*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)/(-16*I*pi^5*b^5*c^5*sgn(F) - 80*pi^4*b^5*c^5*log(abs(F))*sgn(F) + 160*I*pi^3*b^5*c^5*log(abs(F))^2*sgn(F) + 160*pi^2*b^5*c^5*log(abs(F))^3*sgn(F) - 80*I*pi*b^5*c^5*log(abs(F))^4*sgn(F) + 16*I*pi^5*b^5*c^5 + 80*pi^4*b^5*c^5*log(abs(F)) - 160*I*pi^3*b^5*c^5*log(abs(F))^2 - 160*pi^2*b^5*c^5*log(abs(F))^3 + 80*I*pi*b^5*c^5*log(abs(F))^4 + 32*b^5*c^5*log(abs(F))^5))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F)))","C",0
55,0,0,0,0.000000," ","integrate(exp(-b*x-a)*x^m*(b*x+a)^3,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{3} x^{m} e^{\left(-b x - a\right)}\,{d x}"," ",0,"integrate((b*x + a)^3*x^m*e^(-b*x - a), x)","F",0
56,1,202,0,0.296558," ","integrate(exp(-b*x-a)*x^3*(b*x+a)^3,x, algorithm=""giac"")","-\frac{{\left(b^{9} x^{6} + 3 \, a b^{8} x^{5} + 3 \, a^{2} b^{7} x^{4} + 6 \, b^{8} x^{5} + a^{3} b^{6} x^{3} + 15 \, a b^{7} x^{4} + 12 \, a^{2} b^{6} x^{3} + 30 \, b^{7} x^{4} + 3 \, a^{3} b^{5} x^{2} + 60 \, a b^{6} x^{3} + 36 \, a^{2} b^{5} x^{2} + 120 \, b^{6} x^{3} + 6 \, a^{3} b^{4} x + 180 \, a b^{5} x^{2} + 72 \, a^{2} b^{4} x + 360 \, b^{5} x^{2} + 6 \, a^{3} b^{3} + 360 \, a b^{4} x + 72 \, a^{2} b^{3} + 720 \, b^{4} x + 360 \, a b^{3} + 720 \, b^{3}\right)} e^{\left(-b x - a\right)}}{b^{7}}"," ",0,"-(b^9*x^6 + 3*a*b^8*x^5 + 3*a^2*b^7*x^4 + 6*b^8*x^5 + a^3*b^6*x^3 + 15*a*b^7*x^4 + 12*a^2*b^6*x^3 + 30*b^7*x^4 + 3*a^3*b^5*x^2 + 60*a*b^6*x^3 + 36*a^2*b^5*x^2 + 120*b^6*x^3 + 6*a^3*b^4*x + 180*a*b^5*x^2 + 72*a^2*b^4*x + 360*b^5*x^2 + 6*a^3*b^3 + 360*a*b^4*x + 72*a^2*b^3 + 720*b^4*x + 360*a*b^3 + 720*b^3)*e^(-b*x - a)/b^7","A",0
57,1,163,0,0.315357," ","integrate(exp(-b*x-a)*x^2*(b*x+a)^3,x, algorithm=""giac"")","-\frac{{\left(b^{8} x^{5} + 3 \, a b^{7} x^{4} + 3 \, a^{2} b^{6} x^{3} + 5 \, b^{7} x^{4} + a^{3} b^{5} x^{2} + 12 \, a b^{6} x^{3} + 9 \, a^{2} b^{5} x^{2} + 20 \, b^{6} x^{3} + 2 \, a^{3} b^{4} x + 36 \, a b^{5} x^{2} + 18 \, a^{2} b^{4} x + 60 \, b^{5} x^{2} + 2 \, a^{3} b^{3} + 72 \, a b^{4} x + 18 \, a^{2} b^{3} + 120 \, b^{4} x + 72 \, a b^{3} + 120 \, b^{3}\right)} e^{\left(-b x - a\right)}}{b^{6}}"," ",0,"-(b^8*x^5 + 3*a*b^7*x^4 + 3*a^2*b^6*x^3 + 5*b^7*x^4 + a^3*b^5*x^2 + 12*a*b^6*x^3 + 9*a^2*b^5*x^2 + 20*b^6*x^3 + 2*a^3*b^4*x + 36*a*b^5*x^2 + 18*a^2*b^4*x + 60*b^5*x^2 + 2*a^3*b^3 + 72*a*b^4*x + 18*a^2*b^3 + 120*b^4*x + 72*a*b^3 + 120*b^3)*e^(-b*x - a)/b^6","A",0
58,1,123,0,0.400839," ","integrate(exp(-b*x-a)*x*(b*x+a)^3,x, algorithm=""giac"")","-\frac{{\left(b^{7} x^{4} + 3 \, a b^{6} x^{3} + 3 \, a^{2} b^{5} x^{2} + 4 \, b^{6} x^{3} + a^{3} b^{4} x + 9 \, a b^{5} x^{2} + 6 \, a^{2} b^{4} x + 12 \, b^{5} x^{2} + a^{3} b^{3} + 18 \, a b^{4} x + 6 \, a^{2} b^{3} + 24 \, b^{4} x + 18 \, a b^{3} + 24 \, b^{3}\right)} e^{\left(-b x - a\right)}}{b^{5}}"," ",0,"-(b^7*x^4 + 3*a*b^6*x^3 + 3*a^2*b^5*x^2 + 4*b^6*x^3 + a^3*b^4*x + 9*a*b^5*x^2 + 6*a^2*b^4*x + 12*b^5*x^2 + a^3*b^3 + 18*a*b^4*x + 6*a^2*b^3 + 24*b^4*x + 18*a*b^3 + 24*b^3)*e^(-b*x - a)/b^5","A",0
59,1,87,0,0.296128," ","integrate(exp(-b*x-a)*(b*x+a)^3,x, algorithm=""giac"")","-\frac{{\left(b^{6} x^{3} + 3 \, a b^{5} x^{2} + 3 \, a^{2} b^{4} x + 3 \, b^{5} x^{2} + a^{3} b^{3} + 6 \, a b^{4} x + 3 \, a^{2} b^{3} + 6 \, b^{4} x + 6 \, a b^{3} + 6 \, b^{3}\right)} e^{\left(-b x - a\right)}}{b^{4}}"," ",0,"-(b^6*x^3 + 3*a*b^5*x^2 + 3*a^2*b^4*x + 3*b^5*x^2 + a^3*b^3 + 6*a*b^4*x + 3*a^2*b^3 + 6*b^4*x + 6*a*b^3 + 6*b^3)*e^(-b*x - a)/b^4","A",0
60,1,95,0,0.324451," ","integrate(exp(-b*x-a)*(b*x+a)^3/x,x, algorithm=""giac"")","-b^{2} x^{2} e^{\left(-b x - a\right)} + a^{3} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 3 \, a b x e^{\left(-b x - a\right)} - 3 \, a^{2} e^{\left(-b x - a\right)} - 2 \, b x e^{\left(-b x - a\right)} - 3 \, a e^{\left(-b x - a\right)} - 2 \, e^{\left(-b x - a\right)}"," ",0,"-b^2*x^2*e^(-b*x - a) + a^3*Ei(-b*x)*e^(-a) - 3*a*b*x*e^(-b*x - a) - 3*a^2*e^(-b*x - a) - 2*b*x*e^(-b*x - a) - 3*a*e^(-b*x - a) - 2*e^(-b*x - a)","A",0
61,1,92,0,0.445423," ","integrate(exp(-b*x-a)*(b*x+a)^3/x^2,x, algorithm=""giac"")","-\frac{a^{3} b x {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 3 \, a^{2} b x {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + b^{2} x^{2} e^{\left(-b x - a\right)} + a^{3} e^{\left(-b x - a\right)} + 3 \, a b x e^{\left(-b x - a\right)} + b x e^{\left(-b x - a\right)}}{x}"," ",0,"-(a^3*b*x*Ei(-b*x)*e^(-a) - 3*a^2*b*x*Ei(-b*x)*e^(-a) + b^2*x^2*e^(-b*x - a) + a^3*e^(-b*x - a) + 3*a*b*x*e^(-b*x - a) + b*x*e^(-b*x - a))/x","A",0
62,1,125,0,0.327748," ","integrate(exp(-b*x-a)*(b*x+a)^3/x^3,x, algorithm=""giac"")","\frac{a^{3} b^{2} x^{2} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 6 \, a^{2} b^{2} x^{2} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + 6 \, a b^{2} x^{2} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + a^{3} b x e^{\left(-b x - a\right)} - 6 \, a^{2} b x e^{\left(-b x - a\right)} - 2 \, b^{2} x^{2} e^{\left(-b x - a\right)} - a^{3} e^{\left(-b x - a\right)}}{2 \, x^{2}}"," ",0,"1/2*(a^3*b^2*x^2*Ei(-b*x)*e^(-a) - 6*a^2*b^2*x^2*Ei(-b*x)*e^(-a) + 6*a*b^2*x^2*Ei(-b*x)*e^(-a) + a^3*b*x*e^(-b*x - a) - 6*a^2*b*x*e^(-b*x - a) - 2*b^2*x^2*e^(-b*x - a) - a^3*e^(-b*x - a))/x^2","A",0
63,1,183,0,0.409935," ","integrate(exp(-b*x-a)*(b*x+a)^3/x^4,x, algorithm=""giac"")","-\frac{a^{3} b^{3} x^{3} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 9 \, a^{2} b^{3} x^{3} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + 18 \, a b^{3} x^{3} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + a^{3} b^{2} x^{2} e^{\left(-b x - a\right)} - 6 \, b^{3} x^{3} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 9 \, a^{2} b^{2} x^{2} e^{\left(-b x - a\right)} - a^{3} b x e^{\left(-b x - a\right)} + 18 \, a b^{2} x^{2} e^{\left(-b x - a\right)} + 9 \, a^{2} b x e^{\left(-b x - a\right)} + 2 \, a^{3} e^{\left(-b x - a\right)}}{6 \, x^{3}}"," ",0,"-1/6*(a^3*b^3*x^3*Ei(-b*x)*e^(-a) - 9*a^2*b^3*x^3*Ei(-b*x)*e^(-a) + 18*a*b^3*x^3*Ei(-b*x)*e^(-a) + a^3*b^2*x^2*e^(-b*x - a) - 6*b^3*x^3*Ei(-b*x)*e^(-a) - 9*a^2*b^2*x^2*e^(-b*x - a) - a^3*b*x*e^(-b*x - a) + 18*a*b^2*x^2*e^(-b*x - a) + 9*a^2*b*x*e^(-b*x - a) + 2*a^3*e^(-b*x - a))/x^3","A",0
64,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c))*x^m*(f*x+e)^2,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} F^{{\left(d x + c\right)} b + a} x^{m}\,{d x}"," ",0,"integrate((f*x + e)^2*F^((d*x + c)*b + a)*x^m, x)","F",0
65,1,9953,0,1.524038," ","integrate(F^(a+b*(d*x+c))*x^3*(f*x+e)^2,x, algorithm=""giac"")","{\left({\left(\frac{4 \, {\left(\pi^{3} b^{3} d^{3} x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} x^{3} + 3 \, \pi b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b d x \mathrm{sgn}\left(F\right) + 6 \, \pi b d x\right)} {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)} {\left(3 \, \pi^{2} b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} d^{2} x^{2} - 6 \, b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b d x \log\left({\left| F \right|}\right) - 12\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)} {\left(\pi^{3} b^{3} d^{3} x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} x^{3} + 3 \, \pi b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b d x \mathrm{sgn}\left(F\right) + 6 \, \pi b d x\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{4 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)} {\left(3 \, \pi^{2} b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} d^{2} x^{2} - 6 \, b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b d x \log\left({\left| F \right|}\right) - 12\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 2\right)} - \frac{1}{2} i \, {\left(\frac{{\left(8 \, \pi^{3} b^{3} d^{3} x^{3} \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} d^{3} x^{3} - 24 i \, \pi^{2} b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 16 i \, b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{3} - 24 i \, \pi^{2} b^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{2} d^{2} x^{2} - 48 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) - 48 i \, b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b d x \mathrm{sgn}\left(F\right) + 48 \, \pi b d x + 96 i \, b d x \log\left({\left| F \right|}\right) - 96 i\right)} e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{8 \, \pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) + 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} d^{4} - 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} + 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}} + \frac{{\left(8 \, \pi^{3} b^{3} d^{3} x^{3} \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} d^{3} x^{3} + 24 i \, \pi^{2} b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 16 i \, b^{3} d^{3} x^{3} \log\left({\left| F \right|}\right)^{3} + 24 i \, \pi^{2} b^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{2} d^{2} x^{2} - 48 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) + 48 i \, b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b d x \mathrm{sgn}\left(F\right) + 48 \, \pi b d x - 96 i \, b d x \log\left({\left| F \right|}\right) + 96 i\right)} e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{8 \, \pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} d^{4} + 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 2\right)} - 2 \, {\left({\left(\frac{4 \, {\left(\pi^{3} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{3} - \pi^{3} b^{3} d^{3} f x^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + \pi^{3} b^{3} d^{3} f x^{3} - 3 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 6 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) + 6 \, \pi b d f x \mathrm{sgn}\left(F\right) - 6 \, \pi b d f x\right)} {\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} - \frac{{\left(\pi^{4} b^{4} d^{4} f x^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} f x^{4} + 6 \, \pi^{2} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{4} + 12 \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) + 8 \, b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{3} - 12 \, \pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{2} d^{2} f x^{2} - 24 \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} + 48 \, b d f x \log\left({\left| F \right|}\right) - 48 \, f\right)} {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) - {\left(\frac{{\left(\pi^{4} b^{4} d^{4} f x^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} f x^{4} + 6 \, \pi^{2} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{4} + 12 \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) + 8 \, b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{3} - 12 \, \pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{2} d^{2} f x^{2} - 24 \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} + 48 \, b d f x \log\left({\left| F \right|}\right) - 48 \, f\right)} {\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} + \frac{4 \, {\left(\pi^{3} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{3} - \pi^{3} b^{3} d^{3} f x^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + \pi^{3} b^{3} d^{3} f x^{3} - 3 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 6 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) + 6 \, \pi b d f x \mathrm{sgn}\left(F\right) - 6 \, \pi b d f x\right)} {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 1\right)} + \frac{1}{2} i \, {\left(\frac{{\left(-32 i \, \pi^{4} b^{4} d^{4} f x^{4} \mathrm{sgn}\left(F\right) + 128 \, \pi^{3} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 192 i \, \pi^{2} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 128 \, \pi b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 32 i \, \pi^{4} b^{4} d^{4} f x^{4} - 128 \, \pi^{3} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right) - 192 i \, \pi^{2} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{2} + 128 \, \pi b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{3} + 64 i \, b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{4} - 128 \, \pi^{3} b^{3} d^{3} f x^{3} \mathrm{sgn}\left(F\right) - 384 i \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 384 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 128 \, \pi^{3} b^{3} d^{3} f x^{3} + 384 i \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) - 384 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} - 256 i \, b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{3} + 384 i \, \pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) - 768 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 384 i \, \pi^{2} b^{2} d^{2} f x^{2} + 768 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) + 768 i \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} + 768 \, \pi b d f x \mathrm{sgn}\left(F\right) - 768 \, \pi b d f x - 1536 i \, b d f x \log\left({\left| F \right|}\right) + 1536 i \, f\right)} e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{16 i \, \pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 80 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 160 i \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 160 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 80 i \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - 16 i \, \pi^{5} b^{5} d^{5} + 80 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 160 i \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 160 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 80 i \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} + 32 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}} - \frac{{\left(-32 i \, \pi^{4} b^{4} d^{4} f x^{4} \mathrm{sgn}\left(F\right) - 128 \, \pi^{3} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 192 i \, \pi^{2} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 128 \, \pi b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 32 i \, \pi^{4} b^{4} d^{4} f x^{4} + 128 \, \pi^{3} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right) - 192 i \, \pi^{2} b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{2} - 128 \, \pi b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{3} + 64 i \, b^{4} d^{4} f x^{4} \log\left({\left| F \right|}\right)^{4} + 128 \, \pi^{3} b^{3} d^{3} f x^{3} \mathrm{sgn}\left(F\right) - 384 i \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 384 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 128 \, \pi^{3} b^{3} d^{3} f x^{3} + 384 i \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) + 384 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} - 256 i \, b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{3} + 384 i \, \pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) + 768 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 384 i \, \pi^{2} b^{2} d^{2} f x^{2} - 768 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) + 768 i \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} - 768 \, \pi b d f x \mathrm{sgn}\left(F\right) + 768 \, \pi b d f x - 1536 i \, b d f x \log\left({\left| F \right|}\right) + 1536 i \, f\right)} e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{-16 i \, \pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 80 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 160 i \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 160 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 80 i \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{5} b^{5} d^{5} + 80 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) - 160 i \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 160 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} + 80 i \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} + 32 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 1\right)} - {\left({\left(\frac{{\left(5 \, \pi^{4} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{5} - 5 \, \pi^{4} b^{4} d^{4} f^{2} x^{4} \mathrm{sgn}\left(F\right) + 30 \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi^{4} b^{4} d^{4} f^{2} x^{4} - 30 \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} + 10 \, b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{4} - 60 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 60 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) - 40 \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} + 60 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) - 60 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} + 120 \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 240 \, b d f^{2} x \log\left({\left| F \right|}\right) + 240 \, f^{2}\right)} {\left(\pi^{6} b^{6} d^{6} \mathrm{sgn}\left(F\right) - 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{6} b^{6} d^{6} + 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} - 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} + 2 \, b^{6} d^{6} \log\left({\left| F \right|}\right)^{6}\right)}}{{\left(\pi^{6} b^{6} d^{6} \mathrm{sgn}\left(F\right) - 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{6} b^{6} d^{6} + 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} - 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} + 2 \, b^{6} d^{6} \log\left({\left| F \right|}\right)^{6}\right)}^{2} + 4 \, {\left(3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5} \mathrm{sgn}\left(F\right) - 3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) + 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} - \frac{2 \, {\left(\pi^{5} b^{5} d^{5} f^{2} x^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} f^{2} x^{5} + 10 \, \pi^{3} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{4} + 20 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 20 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 20 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) + 20 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} - 20 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) + 60 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 20 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} - 60 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} - 120 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 120 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) + 120 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) - 120 \, \pi b d f^{2} x\right)} {\left(3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5} \mathrm{sgn}\left(F\right) - 3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) + 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{6} b^{6} d^{6} \mathrm{sgn}\left(F\right) - 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{6} b^{6} d^{6} + 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} - 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} + 2 \, b^{6} d^{6} \log\left({\left| F \right|}\right)^{6}\right)}^{2} + 4 \, {\left(3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5} \mathrm{sgn}\left(F\right) - 3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) + 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) - {\left(\frac{{\left(\pi^{5} b^{5} d^{5} f^{2} x^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} f^{2} x^{5} + 10 \, \pi^{3} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{4} + 20 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 20 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 20 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) + 20 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} - 20 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) + 60 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 20 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} - 60 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} - 120 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 120 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) + 120 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) - 120 \, \pi b d f^{2} x\right)} {\left(\pi^{6} b^{6} d^{6} \mathrm{sgn}\left(F\right) - 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{6} b^{6} d^{6} + 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} - 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} + 2 \, b^{6} d^{6} \log\left({\left| F \right|}\right)^{6}\right)}}{{\left(\pi^{6} b^{6} d^{6} \mathrm{sgn}\left(F\right) - 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{6} b^{6} d^{6} + 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} - 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} + 2 \, b^{6} d^{6} \log\left({\left| F \right|}\right)^{6}\right)}^{2} + 4 \, {\left(3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5} \mathrm{sgn}\left(F\right) - 3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) + 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} + \frac{2 \, {\left(5 \, \pi^{4} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{5} - 5 \, \pi^{4} b^{4} d^{4} f^{2} x^{4} \mathrm{sgn}\left(F\right) + 30 \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi^{4} b^{4} d^{4} f^{2} x^{4} - 30 \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} + 10 \, b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{4} - 60 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 60 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) - 40 \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} + 60 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) - 60 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} + 120 \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 240 \, b d f^{2} x \log\left({\left| F \right|}\right) + 240 \, f^{2}\right)} {\left(3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5} \mathrm{sgn}\left(F\right) - 3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) + 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{6} b^{6} d^{6} \mathrm{sgn}\left(F\right) - 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{6} b^{6} d^{6} + 15 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} - 15 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} + 2 \, b^{6} d^{6} \log\left({\left| F \right|}\right)^{6}\right)}^{2} + 4 \, {\left(3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5} \mathrm{sgn}\left(F\right) - 3 \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) + 10 \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{{\left(32 \, \pi^{5} b^{5} d^{5} f^{2} x^{5} \mathrm{sgn}\left(F\right) + 160 i \, \pi^{4} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 320 \, \pi^{3} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 320 i \, \pi^{2} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 160 \, \pi b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - 32 \, \pi^{5} b^{5} d^{5} f^{2} x^{5} - 160 i \, \pi^{4} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right) + 320 \, \pi^{3} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{2} + 320 i \, \pi^{2} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{3} - 160 \, \pi b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{4} - 64 i \, b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{5} - 160 i \, \pi^{4} b^{4} d^{4} f^{2} x^{4} \mathrm{sgn}\left(F\right) + 640 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 960 i \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 640 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 160 i \, \pi^{4} b^{4} d^{4} f^{2} x^{4} - 640 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) - 960 i \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} + 640 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} + 320 i \, b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{4} - 640 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) - 1920 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 1920 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 640 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} + 1920 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) - 1920 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} - 1280 i \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} + 1920 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) - 3840 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 1920 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} + 3840 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) + 3840 i \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 3840 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) - 3840 \, \pi b d f^{2} x - 7680 i \, b d f^{2} x \log\left({\left| F \right|}\right) + 7680 i \, f^{2}\right)} e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{32 \, \pi^{6} b^{6} d^{6} \mathrm{sgn}\left(F\right) + 192 i \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 480 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 640 i \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 480 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) + 192 i \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5} \mathrm{sgn}\left(F\right) - 32 \, \pi^{6} b^{6} d^{6} - 192 i \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) + 480 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} + 640 i \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} - 480 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} - 192 i \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5} + 64 \, b^{6} d^{6} \log\left({\left| F \right|}\right)^{6}} + \frac{{\left(32 \, \pi^{5} b^{5} d^{5} f^{2} x^{5} \mathrm{sgn}\left(F\right) - 160 i \, \pi^{4} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 320 \, \pi^{3} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 320 i \, \pi^{2} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 160 \, \pi b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - 32 \, \pi^{5} b^{5} d^{5} f^{2} x^{5} + 160 i \, \pi^{4} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right) + 320 \, \pi^{3} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{2} - 320 i \, \pi^{2} b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{3} - 160 \, \pi b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{4} + 64 i \, b^{5} d^{5} f^{2} x^{5} \log\left({\left| F \right|}\right)^{5} + 160 i \, \pi^{4} b^{4} d^{4} f^{2} x^{4} \mathrm{sgn}\left(F\right) + 640 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 960 i \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 640 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 160 i \, \pi^{4} b^{4} d^{4} f^{2} x^{4} - 640 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) + 960 i \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} + 640 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} - 320 i \, b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{4} - 640 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) + 1920 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 1920 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 640 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} - 1920 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) - 1920 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} + 1280 i \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} - 1920 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) - 3840 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 1920 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} + 3840 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) - 3840 i \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 3840 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) - 3840 \, \pi b d f^{2} x + 7680 i \, b d f^{2} x \log\left({\left| F \right|}\right) - 7680 i \, f^{2}\right)} e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{32 \, \pi^{6} b^{6} d^{6} \mathrm{sgn}\left(F\right) - 192 i \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 480 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 640 i \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 480 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - 192 i \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5} \mathrm{sgn}\left(F\right) - 32 \, \pi^{6} b^{6} d^{6} + 192 i \, \pi^{5} b^{6} d^{6} \log\left({\left| F \right|}\right) + 480 \, \pi^{4} b^{6} d^{6} \log\left({\left| F \right|}\right)^{2} - 640 i \, \pi^{3} b^{6} d^{6} \log\left({\left| F \right|}\right)^{3} - 480 \, \pi^{2} b^{6} d^{6} \log\left({\left| F \right|}\right)^{4} + 192 i \, \pi b^{6} d^{6} \log\left({\left| F \right|}\right)^{5} + 64 \, b^{6} d^{6} \log\left({\left| F \right|}\right)^{6}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)}"," ",0,"((4*(pi^3*b^3*d^3*x^3*sgn(F) - 3*pi*b^3*d^3*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3*x^3 + 3*pi*b^3*d^3*x^3*log(abs(F))^2 + 6*pi*b^2*d^2*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*d^2*x^2*log(abs(F)) - 6*pi*b*d*x*sgn(F) + 6*pi*b*d*x)*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2) - (pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)*(3*pi^2*b^3*d^3*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*x^3*log(abs(F)) + 2*b^3*d^3*x^3*log(abs(F))^3 - 3*pi^2*b^2*d^2*x^2*sgn(F) + 3*pi^2*b^2*d^2*x^2 - 6*b^2*d^2*x^2*log(abs(F))^2 + 12*b*d*x*log(abs(F)) - 12)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2))*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a) + ((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)*(pi^3*b^3*d^3*x^3*sgn(F) - 3*pi*b^3*d^3*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3*x^3 + 3*pi*b^3*d^3*x^3*log(abs(F))^2 + 6*pi*b^2*d^2*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*d^2*x^2*log(abs(F)) - 6*pi*b*d*x*sgn(F) + 6*pi*b*d*x)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2) + 4*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)*(3*pi^2*b^3*d^3*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*x^3*log(abs(F)) + 2*b^3*d^3*x^3*log(abs(F))^3 - 3*pi^2*b^2*d^2*x^2*sgn(F) + 3*pi^2*b^2*d^2*x^2 - 6*b^2*d^2*x^2*log(abs(F))^2 + 12*b*d*x*log(abs(F)) - 12)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2))*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 2) - 1/2*I*((8*pi^3*b^3*d^3*x^3*sgn(F) + 24*I*pi^2*b^3*d^3*x^3*log(abs(F))*sgn(F) - 24*pi*b^3*d^3*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*d^3*x^3 - 24*I*pi^2*b^3*d^3*x^3*log(abs(F)) + 24*pi*b^3*d^3*x^3*log(abs(F))^2 + 16*I*b^3*d^3*x^3*log(abs(F))^3 - 24*I*pi^2*b^2*d^2*x^2*sgn(F) + 48*pi*b^2*d^2*x^2*log(abs(F))*sgn(F) + 24*I*pi^2*b^2*d^2*x^2 - 48*pi*b^2*d^2*x^2*log(abs(F)) - 48*I*b^2*d^2*x^2*log(abs(F))^2 - 48*pi*b*d*x*sgn(F) + 48*pi*b*d*x + 96*I*b*d*x*log(abs(F)) - 96*I)*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(8*pi^4*b^4*d^4*sgn(F) + 32*I*pi^3*b^4*d^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - 32*I*pi*b^4*d^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*d^4 - 32*I*pi^3*b^4*d^4*log(abs(F)) + 48*pi^2*b^4*d^4*log(abs(F))^2 + 32*I*pi*b^4*d^4*log(abs(F))^3 - 16*b^4*d^4*log(abs(F))^4) + (8*pi^3*b^3*d^3*x^3*sgn(F) - 24*I*pi^2*b^3*d^3*x^3*log(abs(F))*sgn(F) - 24*pi*b^3*d^3*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*d^3*x^3 + 24*I*pi^2*b^3*d^3*x^3*log(abs(F)) + 24*pi*b^3*d^3*x^3*log(abs(F))^2 - 16*I*b^3*d^3*x^3*log(abs(F))^3 + 24*I*pi^2*b^2*d^2*x^2*sgn(F) + 48*pi*b^2*d^2*x^2*log(abs(F))*sgn(F) - 24*I*pi^2*b^2*d^2*x^2 - 48*pi*b^2*d^2*x^2*log(abs(F)) + 48*I*b^2*d^2*x^2*log(abs(F))^2 - 48*pi*b*d*x*sgn(F) + 48*pi*b*d*x - 96*I*b*d*x*log(abs(F)) + 96*I)*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(8*pi^4*b^4*d^4*sgn(F) - 32*I*pi^3*b^4*d^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) + 32*I*pi*b^4*d^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*d^4 + 32*I*pi^3*b^4*d^4*log(abs(F)) + 48*pi^2*b^4*d^4*log(abs(F))^2 - 32*I*pi*b^4*d^4*log(abs(F))^3 - 16*b^4*d^4*log(abs(F))^4))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 2) - 2*((4*(pi^3*b^4*d^4*f*x^4*log(abs(F))*sgn(F) - pi*b^4*d^4*f*x^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*f*x^4*log(abs(F)) + pi*b^4*d^4*f*x^4*log(abs(F))^3 - pi^3*b^3*d^3*f*x^3*sgn(F) + 3*pi*b^3*d^3*f*x^3*log(abs(F))^2*sgn(F) + pi^3*b^3*d^3*f*x^3 - 3*pi*b^3*d^3*f*x^3*log(abs(F))^2 - 6*pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) + 6*pi*b^2*d^2*f*x^2*log(abs(F)) + 6*pi*b*d*f*x*sgn(F) - 6*pi*b*d*f*x)*(pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)/((pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)^2 + (5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)^2) - (pi^4*b^4*d^4*f*x^4*sgn(F) - 6*pi^2*b^4*d^4*f*x^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4*f*x^4 + 6*pi^2*b^4*d^4*f*x^4*log(abs(F))^2 - 2*b^4*d^4*f*x^4*log(abs(F))^4 + 12*pi^2*b^3*d^3*f*x^3*log(abs(F))*sgn(F) - 12*pi^2*b^3*d^3*f*x^3*log(abs(F)) + 8*b^3*d^3*f*x^3*log(abs(F))^3 - 12*pi^2*b^2*d^2*f*x^2*sgn(F) + 12*pi^2*b^2*d^2*f*x^2 - 24*b^2*d^2*f*x^2*log(abs(F))^2 + 48*b*d*f*x*log(abs(F)) - 48*f)*(5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)/((pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)^2 + (5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)^2))*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a) - ((pi^4*b^4*d^4*f*x^4*sgn(F) - 6*pi^2*b^4*d^4*f*x^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4*f*x^4 + 6*pi^2*b^4*d^4*f*x^4*log(abs(F))^2 - 2*b^4*d^4*f*x^4*log(abs(F))^4 + 12*pi^2*b^3*d^3*f*x^3*log(abs(F))*sgn(F) - 12*pi^2*b^3*d^3*f*x^3*log(abs(F)) + 8*b^3*d^3*f*x^3*log(abs(F))^3 - 12*pi^2*b^2*d^2*f*x^2*sgn(F) + 12*pi^2*b^2*d^2*f*x^2 - 24*b^2*d^2*f*x^2*log(abs(F))^2 + 48*b*d*f*x*log(abs(F)) - 48*f)*(pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)/((pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)^2 + (5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)^2) + 4*(pi^3*b^4*d^4*f*x^4*log(abs(F))*sgn(F) - pi*b^4*d^4*f*x^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*f*x^4*log(abs(F)) + pi*b^4*d^4*f*x^4*log(abs(F))^3 - pi^3*b^3*d^3*f*x^3*sgn(F) + 3*pi*b^3*d^3*f*x^3*log(abs(F))^2*sgn(F) + pi^3*b^3*d^3*f*x^3 - 3*pi*b^3*d^3*f*x^3*log(abs(F))^2 - 6*pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) + 6*pi*b^2*d^2*f*x^2*log(abs(F)) + 6*pi*b*d*f*x*sgn(F) - 6*pi*b*d*f*x)*(5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)/((pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)^2 + (5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)^2))*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 1) + 1/2*I*((-32*I*pi^4*b^4*d^4*f*x^4*sgn(F) + 128*pi^3*b^4*d^4*f*x^4*log(abs(F))*sgn(F) + 192*I*pi^2*b^4*d^4*f*x^4*log(abs(F))^2*sgn(F) - 128*pi*b^4*d^4*f*x^4*log(abs(F))^3*sgn(F) + 32*I*pi^4*b^4*d^4*f*x^4 - 128*pi^3*b^4*d^4*f*x^4*log(abs(F)) - 192*I*pi^2*b^4*d^4*f*x^4*log(abs(F))^2 + 128*pi*b^4*d^4*f*x^4*log(abs(F))^3 + 64*I*b^4*d^4*f*x^4*log(abs(F))^4 - 128*pi^3*b^3*d^3*f*x^3*sgn(F) - 384*I*pi^2*b^3*d^3*f*x^3*log(abs(F))*sgn(F) + 384*pi*b^3*d^3*f*x^3*log(abs(F))^2*sgn(F) + 128*pi^3*b^3*d^3*f*x^3 + 384*I*pi^2*b^3*d^3*f*x^3*log(abs(F)) - 384*pi*b^3*d^3*f*x^3*log(abs(F))^2 - 256*I*b^3*d^3*f*x^3*log(abs(F))^3 + 384*I*pi^2*b^2*d^2*f*x^2*sgn(F) - 768*pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) - 384*I*pi^2*b^2*d^2*f*x^2 + 768*pi*b^2*d^2*f*x^2*log(abs(F)) + 768*I*b^2*d^2*f*x^2*log(abs(F))^2 + 768*pi*b*d*f*x*sgn(F) - 768*pi*b*d*f*x - 1536*I*b*d*f*x*log(abs(F)) + 1536*I*f)*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(16*I*pi^5*b^5*d^5*sgn(F) - 80*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 160*I*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 160*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) + 80*I*pi*b^5*d^5*log(abs(F))^4*sgn(F) - 16*I*pi^5*b^5*d^5 + 80*pi^4*b^5*d^5*log(abs(F)) + 160*I*pi^3*b^5*d^5*log(abs(F))^2 - 160*pi^2*b^5*d^5*log(abs(F))^3 - 80*I*pi*b^5*d^5*log(abs(F))^4 + 32*b^5*d^5*log(abs(F))^5) - (-32*I*pi^4*b^4*d^4*f*x^4*sgn(F) - 128*pi^3*b^4*d^4*f*x^4*log(abs(F))*sgn(F) + 192*I*pi^2*b^4*d^4*f*x^4*log(abs(F))^2*sgn(F) + 128*pi*b^4*d^4*f*x^4*log(abs(F))^3*sgn(F) + 32*I*pi^4*b^4*d^4*f*x^4 + 128*pi^3*b^4*d^4*f*x^4*log(abs(F)) - 192*I*pi^2*b^4*d^4*f*x^4*log(abs(F))^2 - 128*pi*b^4*d^4*f*x^4*log(abs(F))^3 + 64*I*b^4*d^4*f*x^4*log(abs(F))^4 + 128*pi^3*b^3*d^3*f*x^3*sgn(F) - 384*I*pi^2*b^3*d^3*f*x^3*log(abs(F))*sgn(F) - 384*pi*b^3*d^3*f*x^3*log(abs(F))^2*sgn(F) - 128*pi^3*b^3*d^3*f*x^3 + 384*I*pi^2*b^3*d^3*f*x^3*log(abs(F)) + 384*pi*b^3*d^3*f*x^3*log(abs(F))^2 - 256*I*b^3*d^3*f*x^3*log(abs(F))^3 + 384*I*pi^2*b^2*d^2*f*x^2*sgn(F) + 768*pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) - 384*I*pi^2*b^2*d^2*f*x^2 - 768*pi*b^2*d^2*f*x^2*log(abs(F)) + 768*I*b^2*d^2*f*x^2*log(abs(F))^2 - 768*pi*b*d*f*x*sgn(F) + 768*pi*b*d*f*x - 1536*I*b*d*f*x*log(abs(F)) + 1536*I*f)*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(-16*I*pi^5*b^5*d^5*sgn(F) - 80*pi^4*b^5*d^5*log(abs(F))*sgn(F) + 160*I*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 160*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 80*I*pi*b^5*d^5*log(abs(F))^4*sgn(F) + 16*I*pi^5*b^5*d^5 + 80*pi^4*b^5*d^5*log(abs(F)) - 160*I*pi^3*b^5*d^5*log(abs(F))^2 - 160*pi^2*b^5*d^5*log(abs(F))^3 + 80*I*pi*b^5*d^5*log(abs(F))^4 + 32*b^5*d^5*log(abs(F))^5))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 1) - (((5*pi^4*b^5*d^5*f^2*x^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*f^2*x^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*f^2*x^5*log(abs(F)) + 10*pi^2*b^5*d^5*f^2*x^5*log(abs(F))^3 - 2*b^5*d^5*f^2*x^5*log(abs(F))^5 - 5*pi^4*b^4*d^4*f^2*x^4*sgn(F) + 30*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2*sgn(F) + 5*pi^4*b^4*d^4*f^2*x^4 - 30*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2 + 10*b^4*d^4*f^2*x^4*log(abs(F))^4 - 60*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) + 60*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) - 40*b^3*d^3*f^2*x^3*log(abs(F))^3 + 60*pi^2*b^2*d^2*f^2*x^2*sgn(F) - 60*pi^2*b^2*d^2*f^2*x^2 + 120*b^2*d^2*f^2*x^2*log(abs(F))^2 - 240*b*d*f^2*x*log(abs(F)) + 240*f^2)*(pi^6*b^6*d^6*sgn(F) - 15*pi^4*b^6*d^6*log(abs(F))^2*sgn(F) + 15*pi^2*b^6*d^6*log(abs(F))^4*sgn(F) - pi^6*b^6*d^6 + 15*pi^4*b^6*d^6*log(abs(F))^2 - 15*pi^2*b^6*d^6*log(abs(F))^4 + 2*b^6*d^6*log(abs(F))^6)/((pi^6*b^6*d^6*sgn(F) - 15*pi^4*b^6*d^6*log(abs(F))^2*sgn(F) + 15*pi^2*b^6*d^6*log(abs(F))^4*sgn(F) - pi^6*b^6*d^6 + 15*pi^4*b^6*d^6*log(abs(F))^2 - 15*pi^2*b^6*d^6*log(abs(F))^4 + 2*b^6*d^6*log(abs(F))^6)^2 + 4*(3*pi^5*b^6*d^6*log(abs(F))*sgn(F) - 10*pi^3*b^6*d^6*log(abs(F))^3*sgn(F) + 3*pi*b^6*d^6*log(abs(F))^5*sgn(F) - 3*pi^5*b^6*d^6*log(abs(F)) + 10*pi^3*b^6*d^6*log(abs(F))^3 - 3*pi*b^6*d^6*log(abs(F))^5)^2) - 2*(pi^5*b^5*d^5*f^2*x^5*sgn(F) - 10*pi^3*b^5*d^5*f^2*x^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*f^2*x^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5*f^2*x^5 + 10*pi^3*b^5*d^5*f^2*x^5*log(abs(F))^2 - 5*pi*b^5*d^5*f^2*x^5*log(abs(F))^4 + 20*pi^3*b^4*d^4*f^2*x^4*log(abs(F))*sgn(F) - 20*pi*b^4*d^4*f^2*x^4*log(abs(F))^3*sgn(F) - 20*pi^3*b^4*d^4*f^2*x^4*log(abs(F)) + 20*pi*b^4*d^4*f^2*x^4*log(abs(F))^3 - 20*pi^3*b^3*d^3*f^2*x^3*sgn(F) + 60*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) + 20*pi^3*b^3*d^3*f^2*x^3 - 60*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 - 120*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) + 120*pi*b^2*d^2*f^2*x^2*log(abs(F)) + 120*pi*b*d*f^2*x*sgn(F) - 120*pi*b*d*f^2*x)*(3*pi^5*b^6*d^6*log(abs(F))*sgn(F) - 10*pi^3*b^6*d^6*log(abs(F))^3*sgn(F) + 3*pi*b^6*d^6*log(abs(F))^5*sgn(F) - 3*pi^5*b^6*d^6*log(abs(F)) + 10*pi^3*b^6*d^6*log(abs(F))^3 - 3*pi*b^6*d^6*log(abs(F))^5)/((pi^6*b^6*d^6*sgn(F) - 15*pi^4*b^6*d^6*log(abs(F))^2*sgn(F) + 15*pi^2*b^6*d^6*log(abs(F))^4*sgn(F) - pi^6*b^6*d^6 + 15*pi^4*b^6*d^6*log(abs(F))^2 - 15*pi^2*b^6*d^6*log(abs(F))^4 + 2*b^6*d^6*log(abs(F))^6)^2 + 4*(3*pi^5*b^6*d^6*log(abs(F))*sgn(F) - 10*pi^3*b^6*d^6*log(abs(F))^3*sgn(F) + 3*pi*b^6*d^6*log(abs(F))^5*sgn(F) - 3*pi^5*b^6*d^6*log(abs(F)) + 10*pi^3*b^6*d^6*log(abs(F))^3 - 3*pi*b^6*d^6*log(abs(F))^5)^2))*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a) - ((pi^5*b^5*d^5*f^2*x^5*sgn(F) - 10*pi^3*b^5*d^5*f^2*x^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*f^2*x^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5*f^2*x^5 + 10*pi^3*b^5*d^5*f^2*x^5*log(abs(F))^2 - 5*pi*b^5*d^5*f^2*x^5*log(abs(F))^4 + 20*pi^3*b^4*d^4*f^2*x^4*log(abs(F))*sgn(F) - 20*pi*b^4*d^4*f^2*x^4*log(abs(F))^3*sgn(F) - 20*pi^3*b^4*d^4*f^2*x^4*log(abs(F)) + 20*pi*b^4*d^4*f^2*x^4*log(abs(F))^3 - 20*pi^3*b^3*d^3*f^2*x^3*sgn(F) + 60*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) + 20*pi^3*b^3*d^3*f^2*x^3 - 60*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 - 120*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) + 120*pi*b^2*d^2*f^2*x^2*log(abs(F)) + 120*pi*b*d*f^2*x*sgn(F) - 120*pi*b*d*f^2*x)*(pi^6*b^6*d^6*sgn(F) - 15*pi^4*b^6*d^6*log(abs(F))^2*sgn(F) + 15*pi^2*b^6*d^6*log(abs(F))^4*sgn(F) - pi^6*b^6*d^6 + 15*pi^4*b^6*d^6*log(abs(F))^2 - 15*pi^2*b^6*d^6*log(abs(F))^4 + 2*b^6*d^6*log(abs(F))^6)/((pi^6*b^6*d^6*sgn(F) - 15*pi^4*b^6*d^6*log(abs(F))^2*sgn(F) + 15*pi^2*b^6*d^6*log(abs(F))^4*sgn(F) - pi^6*b^6*d^6 + 15*pi^4*b^6*d^6*log(abs(F))^2 - 15*pi^2*b^6*d^6*log(abs(F))^4 + 2*b^6*d^6*log(abs(F))^6)^2 + 4*(3*pi^5*b^6*d^6*log(abs(F))*sgn(F) - 10*pi^3*b^6*d^6*log(abs(F))^3*sgn(F) + 3*pi*b^6*d^6*log(abs(F))^5*sgn(F) - 3*pi^5*b^6*d^6*log(abs(F)) + 10*pi^3*b^6*d^6*log(abs(F))^3 - 3*pi*b^6*d^6*log(abs(F))^5)^2) + 2*(5*pi^4*b^5*d^5*f^2*x^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*f^2*x^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*f^2*x^5*log(abs(F)) + 10*pi^2*b^5*d^5*f^2*x^5*log(abs(F))^3 - 2*b^5*d^5*f^2*x^5*log(abs(F))^5 - 5*pi^4*b^4*d^4*f^2*x^4*sgn(F) + 30*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2*sgn(F) + 5*pi^4*b^4*d^4*f^2*x^4 - 30*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2 + 10*b^4*d^4*f^2*x^4*log(abs(F))^4 - 60*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) + 60*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) - 40*b^3*d^3*f^2*x^3*log(abs(F))^3 + 60*pi^2*b^2*d^2*f^2*x^2*sgn(F) - 60*pi^2*b^2*d^2*f^2*x^2 + 120*b^2*d^2*f^2*x^2*log(abs(F))^2 - 240*b*d*f^2*x*log(abs(F)) + 240*f^2)*(3*pi^5*b^6*d^6*log(abs(F))*sgn(F) - 10*pi^3*b^6*d^6*log(abs(F))^3*sgn(F) + 3*pi*b^6*d^6*log(abs(F))^5*sgn(F) - 3*pi^5*b^6*d^6*log(abs(F)) + 10*pi^3*b^6*d^6*log(abs(F))^3 - 3*pi*b^6*d^6*log(abs(F))^5)/((pi^6*b^6*d^6*sgn(F) - 15*pi^4*b^6*d^6*log(abs(F))^2*sgn(F) + 15*pi^2*b^6*d^6*log(abs(F))^4*sgn(F) - pi^6*b^6*d^6 + 15*pi^4*b^6*d^6*log(abs(F))^2 - 15*pi^2*b^6*d^6*log(abs(F))^4 + 2*b^6*d^6*log(abs(F))^6)^2 + 4*(3*pi^5*b^6*d^6*log(abs(F))*sgn(F) - 10*pi^3*b^6*d^6*log(abs(F))^3*sgn(F) + 3*pi*b^6*d^6*log(abs(F))^5*sgn(F) - 3*pi^5*b^6*d^6*log(abs(F)) + 10*pi^3*b^6*d^6*log(abs(F))^3 - 3*pi*b^6*d^6*log(abs(F))^5)^2))*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F))) - 1/2*I*((32*pi^5*b^5*d^5*f^2*x^5*sgn(F) + 160*I*pi^4*b^5*d^5*f^2*x^5*log(abs(F))*sgn(F) - 320*pi^3*b^5*d^5*f^2*x^5*log(abs(F))^2*sgn(F) - 320*I*pi^2*b^5*d^5*f^2*x^5*log(abs(F))^3*sgn(F) + 160*pi*b^5*d^5*f^2*x^5*log(abs(F))^4*sgn(F) - 32*pi^5*b^5*d^5*f^2*x^5 - 160*I*pi^4*b^5*d^5*f^2*x^5*log(abs(F)) + 320*pi^3*b^5*d^5*f^2*x^5*log(abs(F))^2 + 320*I*pi^2*b^5*d^5*f^2*x^5*log(abs(F))^3 - 160*pi*b^5*d^5*f^2*x^5*log(abs(F))^4 - 64*I*b^5*d^5*f^2*x^5*log(abs(F))^5 - 160*I*pi^4*b^4*d^4*f^2*x^4*sgn(F) + 640*pi^3*b^4*d^4*f^2*x^4*log(abs(F))*sgn(F) + 960*I*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2*sgn(F) - 640*pi*b^4*d^4*f^2*x^4*log(abs(F))^3*sgn(F) + 160*I*pi^4*b^4*d^4*f^2*x^4 - 640*pi^3*b^4*d^4*f^2*x^4*log(abs(F)) - 960*I*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2 + 640*pi*b^4*d^4*f^2*x^4*log(abs(F))^3 + 320*I*b^4*d^4*f^2*x^4*log(abs(F))^4 - 640*pi^3*b^3*d^3*f^2*x^3*sgn(F) - 1920*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) + 1920*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) + 640*pi^3*b^3*d^3*f^2*x^3 + 1920*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) - 1920*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 - 1280*I*b^3*d^3*f^2*x^3*log(abs(F))^3 + 1920*I*pi^2*b^2*d^2*f^2*x^2*sgn(F) - 3840*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) - 1920*I*pi^2*b^2*d^2*f^2*x^2 + 3840*pi*b^2*d^2*f^2*x^2*log(abs(F)) + 3840*I*b^2*d^2*f^2*x^2*log(abs(F))^2 + 3840*pi*b*d*f^2*x*sgn(F) - 3840*pi*b*d*f^2*x - 7680*I*b*d*f^2*x*log(abs(F)) + 7680*I*f^2)*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(32*pi^6*b^6*d^6*sgn(F) + 192*I*pi^5*b^6*d^6*log(abs(F))*sgn(F) - 480*pi^4*b^6*d^6*log(abs(F))^2*sgn(F) - 640*I*pi^3*b^6*d^6*log(abs(F))^3*sgn(F) + 480*pi^2*b^6*d^6*log(abs(F))^4*sgn(F) + 192*I*pi*b^6*d^6*log(abs(F))^5*sgn(F) - 32*pi^6*b^6*d^6 - 192*I*pi^5*b^6*d^6*log(abs(F)) + 480*pi^4*b^6*d^6*log(abs(F))^2 + 640*I*pi^3*b^6*d^6*log(abs(F))^3 - 480*pi^2*b^6*d^6*log(abs(F))^4 - 192*I*pi*b^6*d^6*log(abs(F))^5 + 64*b^6*d^6*log(abs(F))^6) + (32*pi^5*b^5*d^5*f^2*x^5*sgn(F) - 160*I*pi^4*b^5*d^5*f^2*x^5*log(abs(F))*sgn(F) - 320*pi^3*b^5*d^5*f^2*x^5*log(abs(F))^2*sgn(F) + 320*I*pi^2*b^5*d^5*f^2*x^5*log(abs(F))^3*sgn(F) + 160*pi*b^5*d^5*f^2*x^5*log(abs(F))^4*sgn(F) - 32*pi^5*b^5*d^5*f^2*x^5 + 160*I*pi^4*b^5*d^5*f^2*x^5*log(abs(F)) + 320*pi^3*b^5*d^5*f^2*x^5*log(abs(F))^2 - 320*I*pi^2*b^5*d^5*f^2*x^5*log(abs(F))^3 - 160*pi*b^5*d^5*f^2*x^5*log(abs(F))^4 + 64*I*b^5*d^5*f^2*x^5*log(abs(F))^5 + 160*I*pi^4*b^4*d^4*f^2*x^4*sgn(F) + 640*pi^3*b^4*d^4*f^2*x^4*log(abs(F))*sgn(F) - 960*I*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2*sgn(F) - 640*pi*b^4*d^4*f^2*x^4*log(abs(F))^3*sgn(F) - 160*I*pi^4*b^4*d^4*f^2*x^4 - 640*pi^3*b^4*d^4*f^2*x^4*log(abs(F)) + 960*I*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2 + 640*pi*b^4*d^4*f^2*x^4*log(abs(F))^3 - 320*I*b^4*d^4*f^2*x^4*log(abs(F))^4 - 640*pi^3*b^3*d^3*f^2*x^3*sgn(F) + 1920*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) + 1920*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) + 640*pi^3*b^3*d^3*f^2*x^3 - 1920*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) - 1920*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 + 1280*I*b^3*d^3*f^2*x^3*log(abs(F))^3 - 1920*I*pi^2*b^2*d^2*f^2*x^2*sgn(F) - 3840*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) + 1920*I*pi^2*b^2*d^2*f^2*x^2 + 3840*pi*b^2*d^2*f^2*x^2*log(abs(F)) - 3840*I*b^2*d^2*f^2*x^2*log(abs(F))^2 + 3840*pi*b*d*f^2*x*sgn(F) - 3840*pi*b*d*f^2*x + 7680*I*b*d*f^2*x*log(abs(F)) - 7680*I*f^2)*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(32*pi^6*b^6*d^6*sgn(F) - 192*I*pi^5*b^6*d^6*log(abs(F))*sgn(F) - 480*pi^4*b^6*d^6*log(abs(F))^2*sgn(F) + 640*I*pi^3*b^6*d^6*log(abs(F))^3*sgn(F) + 480*pi^2*b^6*d^6*log(abs(F))^4*sgn(F) - 192*I*pi*b^6*d^6*log(abs(F))^5*sgn(F) - 32*pi^6*b^6*d^6 + 192*I*pi^5*b^6*d^6*log(abs(F)) + 480*pi^4*b^6*d^6*log(abs(F))^2 - 640*I*pi^3*b^6*d^6*log(abs(F))^3 - 480*pi^2*b^6*d^6*log(abs(F))^4 + 192*I*pi*b^6*d^6*log(abs(F))^5 + 64*b^6*d^6*log(abs(F))^6))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)))","C",0
66,1,7061,0,1.344582," ","integrate(F^(a+b*(d*x+c))*x^2*(f*x+e)^2,x, algorithm=""giac"")","{\left({\left(\frac{{\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\pi^{2} b^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} x^{2} + 2 \, b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b d x \log\left({\left| F \right|}\right) + 4\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{2 \, {\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b d x \mathrm{sgn}\left(F\right) + \pi b d x\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi^{2} b^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} x^{2} + 2 \, b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b d x \log\left({\left| F \right|}\right) + 4\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b d x \mathrm{sgn}\left(F\right) + \pi b d x\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 2\right)} + \frac{1}{2} i \, {\left(\frac{{\left(4 i \, \pi^{2} b^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} d^{2} x^{2} + 8 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) + 8 i \, b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b d x \mathrm{sgn}\left(F\right) - 8 \, \pi b d x - 16 i \, b d x \log\left({\left| F \right|}\right) + 16 i\right)} e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{-4 i \, \pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} b^{3} d^{3} - 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(4 i \, \pi^{2} b^{2} d^{2} x^{2} \mathrm{sgn}\left(F\right) + 8 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} d^{2} x^{2} - 8 \, \pi b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right) + 8 i \, b^{2} d^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b d x \mathrm{sgn}\left(F\right) + 8 \, \pi b d x - 16 i \, b d x \log\left({\left| F \right|}\right) + 16 i\right)} e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{4 i \, \pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} b^{3} d^{3} - 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 2\right)} - 2 \, {\left({\left(\frac{{\left(3 \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} d^{2} f x^{2} - 6 \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b d f x \log\left({\left| F \right|}\right) - 12 \, f\right)} {\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{4 \, {\left(\pi^{3} b^{3} d^{3} f x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} f x^{3} + 3 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b d f x \mathrm{sgn}\left(F\right) + 6 \, \pi b d f x\right)} {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) - {\left(\frac{{\left(\pi^{3} b^{3} d^{3} f x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} f x^{3} + 3 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b d f x \mathrm{sgn}\left(F\right) + 6 \, \pi b d f x\right)} {\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{4 \, {\left(3 \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} d^{2} f x^{2} - 6 \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b d f x \log\left({\left| F \right|}\right) - 12 \, f\right)} {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 1\right)} - \frac{1}{2} i \, {\left(\frac{{\left(16 \, \pi^{3} b^{3} d^{3} f x^{3} \mathrm{sgn}\left(F\right) + 48 i \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 16 \, \pi^{3} b^{3} d^{3} f x^{3} - 48 i \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) + 48 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} + 32 i \, b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{3} - 48 i \, \pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) + 96 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 48 i \, \pi^{2} b^{2} d^{2} f x^{2} - 96 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) - 96 i \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} - 96 \, \pi b d f x \mathrm{sgn}\left(F\right) + 96 \, \pi b d f x + 192 i \, b d f x \log\left({\left| F \right|}\right) - 192 i \, f\right)} e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{8 \, \pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) + 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} d^{4} - 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} + 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}} + \frac{{\left(16 \, \pi^{3} b^{3} d^{3} f x^{3} \mathrm{sgn}\left(F\right) - 48 i \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 16 \, \pi^{3} b^{3} d^{3} f x^{3} + 48 i \, \pi^{2} b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right) + 48 \, \pi b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{2} - 32 i \, b^{3} d^{3} f x^{3} \log\left({\left| F \right|}\right)^{3} + 48 i \, \pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) + 96 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 i \, \pi^{2} b^{2} d^{2} f x^{2} - 96 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) + 96 i \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} - 96 \, \pi b d f x \mathrm{sgn}\left(F\right) + 96 \, \pi b d f x - 192 i \, b d f x \log\left({\left| F \right|}\right) + 192 i \, f\right)} e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{8 \, \pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} d^{4} + 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 1\right)} - {\left({\left(\frac{4 \, {\left(\pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} - \pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + \pi^{3} b^{3} d^{3} f^{2} x^{3} - 3 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 6 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) + 6 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) - 6 \, \pi b d f^{2} x\right)} {\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} - \frac{{\left(\pi^{4} b^{4} d^{4} f^{2} x^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} f^{2} x^{4} + 6 \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{4} + 12 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) + 8 \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} - 12 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} - 24 \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 48 \, b d f^{2} x \log\left({\left| F \right|}\right) - 48 \, f^{2}\right)} {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) - {\left(\frac{{\left(\pi^{4} b^{4} d^{4} f^{2} x^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} f^{2} x^{4} + 6 \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{4} + 12 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) + 8 \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} - 12 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} - 24 \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 48 \, b d f^{2} x \log\left({\left| F \right|}\right) - 48 \, f^{2}\right)} {\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}} + \frac{4 \, {\left(\pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} - \pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) + 3 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + \pi^{3} b^{3} d^{3} f^{2} x^{3} - 3 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 6 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) + 6 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) - 6 \, \pi b d f^{2} x\right)} {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}}{{\left(\pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - \pi^{5} b^{5} d^{5} + 10 \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 5 \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + {\left(5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 5 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 10 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 2 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} i \, {\left(\frac{{\left(-16 i \, \pi^{4} b^{4} d^{4} f^{2} x^{4} \mathrm{sgn}\left(F\right) + 64 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 64 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} d^{4} f^{2} x^{4} - 64 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} + 64 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{4} - 64 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 192 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 64 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} + 192 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) - 192 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} - 128 i \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} + 192 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) - 384 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} + 384 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) + 384 i \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 384 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) - 384 \, \pi b d f^{2} x - 768 i \, b d f^{2} x \log\left({\left| F \right|}\right) + 768 i \, f^{2}\right)} e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{16 i \, \pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 80 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 160 i \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 160 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 80 i \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) - 16 i \, \pi^{5} b^{5} d^{5} + 80 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) + 160 i \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 160 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} - 80 i \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} + 32 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}} - \frac{{\left(-16 i \, \pi^{4} b^{4} d^{4} f^{2} x^{4} \mathrm{sgn}\left(F\right) - 64 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 96 i \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 64 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{4} b^{4} d^{4} f^{2} x^{4} + 64 \, \pi^{3} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right) - 96 i \, \pi^{2} b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{2} - 64 \, \pi b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{3} + 32 i \, b^{4} d^{4} f^{2} x^{4} \log\left({\left| F \right|}\right)^{4} + 64 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 64 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} + 192 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) + 192 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} - 128 i \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} + 192 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) + 384 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 192 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} - 384 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) + 384 i \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 384 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) + 384 \, \pi b d f^{2} x - 768 i \, b d f^{2} x \log\left({\left| F \right|}\right) + 768 i \, f^{2}\right)} e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{-16 i \, \pi^{5} b^{5} d^{5} \mathrm{sgn}\left(F\right) - 80 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 160 i \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 160 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 80 i \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} \mathrm{sgn}\left(F\right) + 16 i \, \pi^{5} b^{5} d^{5} + 80 \, \pi^{4} b^{5} d^{5} \log\left({\left| F \right|}\right) - 160 i \, \pi^{3} b^{5} d^{5} \log\left({\left| F \right|}\right)^{2} - 160 \, \pi^{2} b^{5} d^{5} \log\left({\left| F \right|}\right)^{3} + 80 i \, \pi b^{5} d^{5} \log\left({\left| F \right|}\right)^{4} + 32 \, b^{5} d^{5} \log\left({\left| F \right|}\right)^{5}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)}"," ",0,"(((3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)*(pi^2*b^2*d^2*x^2*sgn(F) - pi^2*b^2*d^2*x^2 + 2*b^2*d^2*x^2*log(abs(F))^2 - 4*b*d*x*log(abs(F)) + 4)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2) - 2*(pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)*(pi*b^2*d^2*x^2*log(abs(F))*sgn(F) - pi*b^2*d^2*x^2*log(abs(F)) - pi*b*d*x*sgn(F) + pi*b*d*x)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2))*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a) + ((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)*(pi^2*b^2*d^2*x^2*sgn(F) - pi^2*b^2*d^2*x^2 + 2*b^2*d^2*x^2*log(abs(F))^2 - 4*b*d*x*log(abs(F)) + 4)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2) + 2*(3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)*(pi*b^2*d^2*x^2*log(abs(F))*sgn(F) - pi*b^2*d^2*x^2*log(abs(F)) - pi*b*d*x*sgn(F) + pi*b*d*x)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2))*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 2) + 1/2*I*((4*I*pi^2*b^2*d^2*x^2*sgn(F) - 8*pi*b^2*d^2*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*d^2*x^2 + 8*pi*b^2*d^2*x^2*log(abs(F)) + 8*I*b^2*d^2*x^2*log(abs(F))^2 + 8*pi*b*d*x*sgn(F) - 8*pi*b*d*x - 16*I*b*d*x*log(abs(F)) + 16*I)*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(-4*I*pi^3*b^3*d^3*sgn(F) + 12*pi^2*b^3*d^3*log(abs(F))*sgn(F) + 12*I*pi*b^3*d^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*b^3*d^3 - 12*pi^2*b^3*d^3*log(abs(F)) - 12*I*pi*b^3*d^3*log(abs(F))^2 + 8*b^3*d^3*log(abs(F))^3) - (4*I*pi^2*b^2*d^2*x^2*sgn(F) + 8*pi*b^2*d^2*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*d^2*x^2 - 8*pi*b^2*d^2*x^2*log(abs(F)) + 8*I*b^2*d^2*x^2*log(abs(F))^2 - 8*pi*b*d*x*sgn(F) + 8*pi*b*d*x - 16*I*b*d*x*log(abs(F)) + 16*I)*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(4*I*pi^3*b^3*d^3*sgn(F) + 12*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 12*I*pi*b^3*d^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*b^3*d^3 - 12*pi^2*b^3*d^3*log(abs(F)) + 12*I*pi*b^3*d^3*log(abs(F))^2 + 8*b^3*d^3*log(abs(F))^3))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 2) - 2*(((3*pi^2*b^3*d^3*f*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*f*x^3*log(abs(F)) + 2*b^3*d^3*f*x^3*log(abs(F))^3 - 3*pi^2*b^2*d^2*f*x^2*sgn(F) + 3*pi^2*b^2*d^2*f*x^2 - 6*b^2*d^2*f*x^2*log(abs(F))^2 + 12*b*d*f*x*log(abs(F)) - 12*f)*(pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2) - 4*(pi^3*b^3*d^3*f*x^3*sgn(F) - 3*pi*b^3*d^3*f*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3*f*x^3 + 3*pi*b^3*d^3*f*x^3*log(abs(F))^2 + 6*pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*d^2*f*x^2*log(abs(F)) - 6*pi*b*d*f*x*sgn(F) + 6*pi*b*d*f*x)*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2))*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a) - ((pi^3*b^3*d^3*f*x^3*sgn(F) - 3*pi*b^3*d^3*f*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3*f*x^3 + 3*pi*b^3*d^3*f*x^3*log(abs(F))^2 + 6*pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*d^2*f*x^2*log(abs(F)) - 6*pi*b*d*f*x*sgn(F) + 6*pi*b*d*f*x)*(pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2) + 4*(3*pi^2*b^3*d^3*f*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*f*x^3*log(abs(F)) + 2*b^3*d^3*f*x^3*log(abs(F))^3 - 3*pi^2*b^2*d^2*f*x^2*sgn(F) + 3*pi^2*b^2*d^2*f*x^2 - 6*b^2*d^2*f*x^2*log(abs(F))^2 + 12*b*d*f*x*log(abs(F)) - 12*f)*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2))*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 1) - 1/2*I*((16*pi^3*b^3*d^3*f*x^3*sgn(F) + 48*I*pi^2*b^3*d^3*f*x^3*log(abs(F))*sgn(F) - 48*pi*b^3*d^3*f*x^3*log(abs(F))^2*sgn(F) - 16*pi^3*b^3*d^3*f*x^3 - 48*I*pi^2*b^3*d^3*f*x^3*log(abs(F)) + 48*pi*b^3*d^3*f*x^3*log(abs(F))^2 + 32*I*b^3*d^3*f*x^3*log(abs(F))^3 - 48*I*pi^2*b^2*d^2*f*x^2*sgn(F) + 96*pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) + 48*I*pi^2*b^2*d^2*f*x^2 - 96*pi*b^2*d^2*f*x^2*log(abs(F)) - 96*I*b^2*d^2*f*x^2*log(abs(F))^2 - 96*pi*b*d*f*x*sgn(F) + 96*pi*b*d*f*x + 192*I*b*d*f*x*log(abs(F)) - 192*I*f)*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(8*pi^4*b^4*d^4*sgn(F) + 32*I*pi^3*b^4*d^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - 32*I*pi*b^4*d^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*d^4 - 32*I*pi^3*b^4*d^4*log(abs(F)) + 48*pi^2*b^4*d^4*log(abs(F))^2 + 32*I*pi*b^4*d^4*log(abs(F))^3 - 16*b^4*d^4*log(abs(F))^4) + (16*pi^3*b^3*d^3*f*x^3*sgn(F) - 48*I*pi^2*b^3*d^3*f*x^3*log(abs(F))*sgn(F) - 48*pi*b^3*d^3*f*x^3*log(abs(F))^2*sgn(F) - 16*pi^3*b^3*d^3*f*x^3 + 48*I*pi^2*b^3*d^3*f*x^3*log(abs(F)) + 48*pi*b^3*d^3*f*x^3*log(abs(F))^2 - 32*I*b^3*d^3*f*x^3*log(abs(F))^3 + 48*I*pi^2*b^2*d^2*f*x^2*sgn(F) + 96*pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) - 48*I*pi^2*b^2*d^2*f*x^2 - 96*pi*b^2*d^2*f*x^2*log(abs(F)) + 96*I*b^2*d^2*f*x^2*log(abs(F))^2 - 96*pi*b*d*f*x*sgn(F) + 96*pi*b*d*f*x - 192*I*b*d*f*x*log(abs(F)) + 192*I*f)*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(8*pi^4*b^4*d^4*sgn(F) - 32*I*pi^3*b^4*d^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) + 32*I*pi*b^4*d^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*d^4 + 32*I*pi^3*b^4*d^4*log(abs(F)) + 48*pi^2*b^4*d^4*log(abs(F))^2 - 32*I*pi*b^4*d^4*log(abs(F))^3 - 16*b^4*d^4*log(abs(F))^4))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 1) - ((4*(pi^3*b^4*d^4*f^2*x^4*log(abs(F))*sgn(F) - pi*b^4*d^4*f^2*x^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*f^2*x^4*log(abs(F)) + pi*b^4*d^4*f^2*x^4*log(abs(F))^3 - pi^3*b^3*d^3*f^2*x^3*sgn(F) + 3*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) + pi^3*b^3*d^3*f^2*x^3 - 3*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 - 6*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) + 6*pi*b^2*d^2*f^2*x^2*log(abs(F)) + 6*pi*b*d*f^2*x*sgn(F) - 6*pi*b*d*f^2*x)*(pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)/((pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)^2 + (5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)^2) - (pi^4*b^4*d^4*f^2*x^4*sgn(F) - 6*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4*f^2*x^4 + 6*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2 - 2*b^4*d^4*f^2*x^4*log(abs(F))^4 + 12*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) - 12*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) + 8*b^3*d^3*f^2*x^3*log(abs(F))^3 - 12*pi^2*b^2*d^2*f^2*x^2*sgn(F) + 12*pi^2*b^2*d^2*f^2*x^2 - 24*b^2*d^2*f^2*x^2*log(abs(F))^2 + 48*b*d*f^2*x*log(abs(F)) - 48*f^2)*(5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)/((pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)^2 + (5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)^2))*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a) - ((pi^4*b^4*d^4*f^2*x^4*sgn(F) - 6*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4*f^2*x^4 + 6*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2 - 2*b^4*d^4*f^2*x^4*log(abs(F))^4 + 12*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) - 12*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) + 8*b^3*d^3*f^2*x^3*log(abs(F))^3 - 12*pi^2*b^2*d^2*f^2*x^2*sgn(F) + 12*pi^2*b^2*d^2*f^2*x^2 - 24*b^2*d^2*f^2*x^2*log(abs(F))^2 + 48*b*d*f^2*x*log(abs(F)) - 48*f^2)*(pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)/((pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)^2 + (5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)^2) + 4*(pi^3*b^4*d^4*f^2*x^4*log(abs(F))*sgn(F) - pi*b^4*d^4*f^2*x^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*f^2*x^4*log(abs(F)) + pi*b^4*d^4*f^2*x^4*log(abs(F))^3 - pi^3*b^3*d^3*f^2*x^3*sgn(F) + 3*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) + pi^3*b^3*d^3*f^2*x^3 - 3*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 - 6*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) + 6*pi*b^2*d^2*f^2*x^2*log(abs(F)) + 6*pi*b*d*f^2*x*sgn(F) - 6*pi*b*d*f^2*x)*(5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)/((pi^5*b^5*d^5*sgn(F) - 10*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 5*pi*b^5*d^5*log(abs(F))^4*sgn(F) - pi^5*b^5*d^5 + 10*pi^3*b^5*d^5*log(abs(F))^2 - 5*pi*b^5*d^5*log(abs(F))^4)^2 + (5*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 10*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 5*pi^4*b^5*d^5*log(abs(F)) + 10*pi^2*b^5*d^5*log(abs(F))^3 - 2*b^5*d^5*log(abs(F))^5)^2))*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F))) + 1/2*I*((-16*I*pi^4*b^4*d^4*f^2*x^4*sgn(F) + 64*pi^3*b^4*d^4*f^2*x^4*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2*sgn(F) - 64*pi*b^4*d^4*f^2*x^4*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*d^4*f^2*x^4 - 64*pi^3*b^4*d^4*f^2*x^4*log(abs(F)) - 96*I*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2 + 64*pi*b^4*d^4*f^2*x^4*log(abs(F))^3 + 32*I*b^4*d^4*f^2*x^4*log(abs(F))^4 - 64*pi^3*b^3*d^3*f^2*x^3*sgn(F) - 192*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) + 192*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) + 64*pi^3*b^3*d^3*f^2*x^3 + 192*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) - 192*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 - 128*I*b^3*d^3*f^2*x^3*log(abs(F))^3 + 192*I*pi^2*b^2*d^2*f^2*x^2*sgn(F) - 384*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) - 192*I*pi^2*b^2*d^2*f^2*x^2 + 384*pi*b^2*d^2*f^2*x^2*log(abs(F)) + 384*I*b^2*d^2*f^2*x^2*log(abs(F))^2 + 384*pi*b*d*f^2*x*sgn(F) - 384*pi*b*d*f^2*x - 768*I*b*d*f^2*x*log(abs(F)) + 768*I*f^2)*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(16*I*pi^5*b^5*d^5*sgn(F) - 80*pi^4*b^5*d^5*log(abs(F))*sgn(F) - 160*I*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 160*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) + 80*I*pi*b^5*d^5*log(abs(F))^4*sgn(F) - 16*I*pi^5*b^5*d^5 + 80*pi^4*b^5*d^5*log(abs(F)) + 160*I*pi^3*b^5*d^5*log(abs(F))^2 - 160*pi^2*b^5*d^5*log(abs(F))^3 - 80*I*pi*b^5*d^5*log(abs(F))^4 + 32*b^5*d^5*log(abs(F))^5) - (-16*I*pi^4*b^4*d^4*f^2*x^4*sgn(F) - 64*pi^3*b^4*d^4*f^2*x^4*log(abs(F))*sgn(F) + 96*I*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2*sgn(F) + 64*pi*b^4*d^4*f^2*x^4*log(abs(F))^3*sgn(F) + 16*I*pi^4*b^4*d^4*f^2*x^4 + 64*pi^3*b^4*d^4*f^2*x^4*log(abs(F)) - 96*I*pi^2*b^4*d^4*f^2*x^4*log(abs(F))^2 - 64*pi*b^4*d^4*f^2*x^4*log(abs(F))^3 + 32*I*b^4*d^4*f^2*x^4*log(abs(F))^4 + 64*pi^3*b^3*d^3*f^2*x^3*sgn(F) - 192*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) - 192*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) - 64*pi^3*b^3*d^3*f^2*x^3 + 192*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) + 192*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 - 128*I*b^3*d^3*f^2*x^3*log(abs(F))^3 + 192*I*pi^2*b^2*d^2*f^2*x^2*sgn(F) + 384*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) - 192*I*pi^2*b^2*d^2*f^2*x^2 - 384*pi*b^2*d^2*f^2*x^2*log(abs(F)) + 384*I*b^2*d^2*f^2*x^2*log(abs(F))^2 - 384*pi*b*d*f^2*x*sgn(F) + 384*pi*b*d*f^2*x - 768*I*b*d*f^2*x*log(abs(F)) + 768*I*f^2)*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(-16*I*pi^5*b^5*d^5*sgn(F) - 80*pi^4*b^5*d^5*log(abs(F))*sgn(F) + 160*I*pi^3*b^5*d^5*log(abs(F))^2*sgn(F) + 160*pi^2*b^5*d^5*log(abs(F))^3*sgn(F) - 80*I*pi*b^5*d^5*log(abs(F))^4*sgn(F) + 16*I*pi^5*b^5*d^5 + 80*pi^4*b^5*d^5*log(abs(F)) - 160*I*pi^3*b^5*d^5*log(abs(F))^2 - 160*pi^2*b^5*d^5*log(abs(F))^3 + 80*I*pi*b^5*d^5*log(abs(F))^4 + 32*b^5*d^5*log(abs(F))^5))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)))","C",0
67,1,4696,0,1.062851," ","integrate(F^(a+b*(d*x+c))*x*(f*x+e)^2,x, algorithm=""giac"")","{\left(2 \, {\left(\frac{{\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)} {\left(\pi b d x \mathrm{sgn}\left(F\right) - \pi b d x\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(b d x \log\left({\left| F \right|}\right) - 1\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b d x \mathrm{sgn}\left(F\right) - \pi b d x\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)} {\left(b d x \log\left({\left| F \right|}\right) - 1\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 2\right)} - \frac{1}{2} i \, {\left(\frac{{\left(2 \, \pi b d x \mathrm{sgn}\left(F\right) - 2 \, \pi b d x - 4 i \, b d x \log\left({\left| F \right|}\right) + 4 i\right)} e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{2 \, \pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} d^{2} - 4 i \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(2 \, \pi b d x \mathrm{sgn}\left(F\right) - 2 \, \pi b d x + 4 i \, b d x \log\left({\left| F \right|}\right) - 4 i\right)} e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{2 \, \pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} d^{2} + 4 i \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 2\right)} + 2 \, {\left({\left(\frac{{\left(\pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} f x^{2} + 2 \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b d f x \log\left({\left| F \right|}\right) + 4 \, f\right)} {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{2 \, {\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) - \pi b d f x \mathrm{sgn}\left(F\right) + \pi b d f x\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} f x^{2} + 2 \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b d f x \log\left({\left| F \right|}\right) + 4 \, f\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) - \pi b d f x \mathrm{sgn}\left(F\right) + \pi b d f x\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 1\right)} + \frac{1}{2} i \, {\left(\frac{{\left(8 i \, \pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) - 16 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 8 i \, \pi^{2} b^{2} d^{2} f x^{2} + 16 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) + 16 i \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} + 16 \, \pi b d f x \mathrm{sgn}\left(F\right) - 16 \, \pi b d f x - 32 i \, b d f x \log\left({\left| F \right|}\right) + 32 i \, f\right)} e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{-4 i \, \pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} b^{3} d^{3} - 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(8 i \, \pi^{2} b^{2} d^{2} f x^{2} \mathrm{sgn}\left(F\right) + 16 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 8 i \, \pi^{2} b^{2} d^{2} f x^{2} - 16 \, \pi b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right) + 16 i \, b^{2} d^{2} f x^{2} \log\left({\left| F \right|}\right)^{2} - 16 \, \pi b d f x \mathrm{sgn}\left(F\right) + 16 \, \pi b d f x - 32 i \, b d f x \log\left({\left| F \right|}\right) + 32 i \, f\right)} e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{4 i \, \pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} b^{3} d^{3} - 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 1\right)} - {\left({\left(\frac{{\left(3 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} - 6 \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b d f^{2} x \log\left({\left| F \right|}\right) - 12 \, f^{2}\right)} {\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{4 \, {\left(\pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} f^{2} x^{3} + 3 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) + 6 \, \pi b d f^{2} x\right)} {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) - {\left(\frac{{\left(\pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} f^{2} x^{3} + 3 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) + 6 \, \pi b d f^{2} x\right)} {\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{4 \, {\left(3 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{2} d^{2} f^{2} x^{2} - 6 \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b d f^{2} x \log\left({\left| F \right|}\right) - 12 \, f^{2}\right)} {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} b^{4} d^{4} + 6 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{{\left(8 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} - 24 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} + 16 i \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} - 24 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} - 48 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) - 48 i \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) + 48 \, \pi b d f^{2} x + 96 i \, b d f^{2} x \log\left({\left| F \right|}\right) - 96 i \, f^{2}\right)} e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{8 \, \pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) + 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} d^{4} - 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} + 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}} + \frac{{\left(8 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b^{3} d^{3} f^{2} x^{3} + 24 i \, \pi^{2} b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{2} - 16 i \, b^{3} d^{3} f^{2} x^{3} \log\left({\left| F \right|}\right)^{3} + 24 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} - 48 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) + 48 i \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) + 48 \, \pi b d f^{2} x - 96 i \, b d f^{2} x \log\left({\left| F \right|}\right) + 96 i \, f^{2}\right)} e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{8 \, \pi^{4} b^{4} d^{4} \mathrm{sgn}\left(F\right) - 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} b^{4} d^{4} + 32 i \, \pi^{3} b^{4} d^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} b^{4} d^{4} \log\left({\left| F \right|}\right)^{2} - 32 i \, \pi b^{4} d^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, b^{4} d^{4} \log\left({\left| F \right|}\right)^{4}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)}"," ",0,"(2*((pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))*(pi*b*d*x*sgn(F) - pi*b*d*x)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2) + (pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)*(b*d*x*log(abs(F)) - 1)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2))*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a) + ((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)*(pi*b*d*x*sgn(F) - pi*b*d*x)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2) - 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))*(b*d*x*log(abs(F)) - 1)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2))*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 2) - 1/2*I*((2*pi*b*d*x*sgn(F) - 2*pi*b*d*x - 4*I*b*d*x*log(abs(F)) + 4*I)*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(2*pi^2*b^2*d^2*sgn(F) + 4*I*pi*b^2*d^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*d^2 - 4*I*pi*b^2*d^2*log(abs(F)) + 4*b^2*d^2*log(abs(F))^2) + (2*pi*b*d*x*sgn(F) - 2*pi*b*d*x + 4*I*b*d*x*log(abs(F)) - 4*I)*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(2*pi^2*b^2*d^2*sgn(F) - 4*I*pi*b^2*d^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*d^2 + 4*I*pi*b^2*d^2*log(abs(F)) + 4*b^2*d^2*log(abs(F))^2))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 2) + 2*(((pi^2*b^2*d^2*f*x^2*sgn(F) - pi^2*b^2*d^2*f*x^2 + 2*b^2*d^2*f*x^2*log(abs(F))^2 - 4*b*d*f*x*log(abs(F)) + 4*f)*(3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2) - 2*(pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)*(pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) - pi*b^2*d^2*f*x^2*log(abs(F)) - pi*b*d*f*x*sgn(F) + pi*b*d*f*x)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2))*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a) + ((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)*(pi^2*b^2*d^2*f*x^2*sgn(F) - pi^2*b^2*d^2*f*x^2 + 2*b^2*d^2*f*x^2*log(abs(F))^2 - 4*b*d*f*x*log(abs(F)) + 4*f)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2) + 2*(3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)*(pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) - pi*b^2*d^2*f*x^2*log(abs(F)) - pi*b*d*f*x*sgn(F) + pi*b*d*f*x)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2))*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 1) + 1/2*I*((8*I*pi^2*b^2*d^2*f*x^2*sgn(F) - 16*pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) - 8*I*pi^2*b^2*d^2*f*x^2 + 16*pi*b^2*d^2*f*x^2*log(abs(F)) + 16*I*b^2*d^2*f*x^2*log(abs(F))^2 + 16*pi*b*d*f*x*sgn(F) - 16*pi*b*d*f*x - 32*I*b*d*f*x*log(abs(F)) + 32*I*f)*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(-4*I*pi^3*b^3*d^3*sgn(F) + 12*pi^2*b^3*d^3*log(abs(F))*sgn(F) + 12*I*pi*b^3*d^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*b^3*d^3 - 12*pi^2*b^3*d^3*log(abs(F)) - 12*I*pi*b^3*d^3*log(abs(F))^2 + 8*b^3*d^3*log(abs(F))^3) - (8*I*pi^2*b^2*d^2*f*x^2*sgn(F) + 16*pi*b^2*d^2*f*x^2*log(abs(F))*sgn(F) - 8*I*pi^2*b^2*d^2*f*x^2 - 16*pi*b^2*d^2*f*x^2*log(abs(F)) + 16*I*b^2*d^2*f*x^2*log(abs(F))^2 - 16*pi*b*d*f*x*sgn(F) + 16*pi*b*d*f*x - 32*I*b*d*f*x*log(abs(F)) + 32*I*f)*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(4*I*pi^3*b^3*d^3*sgn(F) + 12*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 12*I*pi*b^3*d^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*b^3*d^3 - 12*pi^2*b^3*d^3*log(abs(F)) + 12*I*pi*b^3*d^3*log(abs(F))^2 + 8*b^3*d^3*log(abs(F))^3))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 1) - (((3*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) + 2*b^3*d^3*f^2*x^3*log(abs(F))^3 - 3*pi^2*b^2*d^2*f^2*x^2*sgn(F) + 3*pi^2*b^2*d^2*f^2*x^2 - 6*b^2*d^2*f^2*x^2*log(abs(F))^2 + 12*b*d*f^2*x*log(abs(F)) - 12*f^2)*(pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2) - 4*(pi^3*b^3*d^3*f^2*x^3*sgn(F) - 3*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3*f^2*x^3 + 3*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 + 6*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*d^2*f^2*x^2*log(abs(F)) - 6*pi*b*d*f^2*x*sgn(F) + 6*pi*b*d*f^2*x)*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2))*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a) - ((pi^3*b^3*d^3*f^2*x^3*sgn(F) - 3*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3*f^2*x^3 + 3*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 + 6*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) - 6*pi*b^2*d^2*f^2*x^2*log(abs(F)) - 6*pi*b*d*f^2*x*sgn(F) + 6*pi*b*d*f^2*x)*(pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2) + 4*(3*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) + 2*b^3*d^3*f^2*x^3*log(abs(F))^3 - 3*pi^2*b^2*d^2*f^2*x^2*sgn(F) + 3*pi^2*b^2*d^2*f^2*x^2 - 6*b^2*d^2*f^2*x^2*log(abs(F))^2 + 12*b*d*f^2*x*log(abs(F)) - 12*f^2)*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)/((pi^4*b^4*d^4*sgn(F) - 6*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - pi^4*b^4*d^4 + 6*pi^2*b^4*d^4*log(abs(F))^2 - 2*b^4*d^4*log(abs(F))^4)^2 + 16*(pi^3*b^4*d^4*log(abs(F))*sgn(F) - pi*b^4*d^4*log(abs(F))^3*sgn(F) - pi^3*b^4*d^4*log(abs(F)) + pi*b^4*d^4*log(abs(F))^3)^2))*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F))) - 1/2*I*((8*pi^3*b^3*d^3*f^2*x^3*sgn(F) + 24*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) - 24*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*d^3*f^2*x^3 - 24*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) + 24*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 + 16*I*b^3*d^3*f^2*x^3*log(abs(F))^3 - 24*I*pi^2*b^2*d^2*f^2*x^2*sgn(F) + 48*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) + 24*I*pi^2*b^2*d^2*f^2*x^2 - 48*pi*b^2*d^2*f^2*x^2*log(abs(F)) - 48*I*b^2*d^2*f^2*x^2*log(abs(F))^2 - 48*pi*b*d*f^2*x*sgn(F) + 48*pi*b*d*f^2*x + 96*I*b*d*f^2*x*log(abs(F)) - 96*I*f^2)*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(8*pi^4*b^4*d^4*sgn(F) + 32*I*pi^3*b^4*d^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) - 32*I*pi*b^4*d^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*d^4 - 32*I*pi^3*b^4*d^4*log(abs(F)) + 48*pi^2*b^4*d^4*log(abs(F))^2 + 32*I*pi*b^4*d^4*log(abs(F))^3 - 16*b^4*d^4*log(abs(F))^4) + (8*pi^3*b^3*d^3*f^2*x^3*sgn(F) - 24*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F))*sgn(F) - 24*pi*b^3*d^3*f^2*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b^3*d^3*f^2*x^3 + 24*I*pi^2*b^3*d^3*f^2*x^3*log(abs(F)) + 24*pi*b^3*d^3*f^2*x^3*log(abs(F))^2 - 16*I*b^3*d^3*f^2*x^3*log(abs(F))^3 + 24*I*pi^2*b^2*d^2*f^2*x^2*sgn(F) + 48*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) - 24*I*pi^2*b^2*d^2*f^2*x^2 - 48*pi*b^2*d^2*f^2*x^2*log(abs(F)) + 48*I*b^2*d^2*f^2*x^2*log(abs(F))^2 - 48*pi*b*d*f^2*x*sgn(F) + 48*pi*b*d*f^2*x - 96*I*b*d*f^2*x*log(abs(F)) + 96*I*f^2)*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(8*pi^4*b^4*d^4*sgn(F) - 32*I*pi^3*b^4*d^4*log(abs(F))*sgn(F) - 48*pi^2*b^4*d^4*log(abs(F))^2*sgn(F) + 32*I*pi*b^4*d^4*log(abs(F))^3*sgn(F) - 8*pi^4*b^4*d^4 + 32*I*pi^3*b^4*d^4*log(abs(F)) + 48*pi^2*b^4*d^4*log(abs(F))^2 - 32*I*pi*b^4*d^4*log(abs(F))^3 - 16*b^4*d^4*log(abs(F))^4))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)))","C",0
68,1,2747,0,0.933591," ","integrate(F^(a+b*(d*x+c))*(f*x+e)^2,x, algorithm=""giac"")","2 \, {\left(\frac{2 \, b d \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \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} d^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b d \mathrm{sgn}\left(F\right) - \pi b d\right)}^{2}} - \frac{{\left(\pi b d \mathrm{sgn}\left(F\right) - \pi b d\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)}{4 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b d \mathrm{sgn}\left(F\right) - \pi b d\right)}^{2}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 2\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{i \, \pi b d \mathrm{sgn}\left(F\right) - i \, \pi b d + 2 \, b d \log\left({\left| F \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{-i \, \pi b d \mathrm{sgn}\left(F\right) + i \, \pi b d + 2 \, b d \log\left({\left| F \right|}\right)}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 2\right)} + 2 \, {\left(2 \, {\left(\frac{{\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)} {\left(\pi b d f x \mathrm{sgn}\left(F\right) - \pi b d f x\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(b d f x \log\left({\left| F \right|}\right) - f\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b d f x \mathrm{sgn}\left(F\right) - \pi b d f x\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)} {\left(b d f x \log\left({\left| F \right|}\right) - f\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 1\right)} - \frac{1}{2} i \, {\left(\frac{{\left(4 \, \pi b d f x \mathrm{sgn}\left(F\right) - 4 \, \pi b d f x - 8 i \, b d f x \log\left({\left| F \right|}\right) + 8 i \, f\right)} e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{2 \, \pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} d^{2} - 4 i \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(4 \, \pi b d f x \mathrm{sgn}\left(F\right) - 4 \, \pi b d f x + 8 i \, b d f x \log\left({\left| F \right|}\right) - 8 i \, f\right)} e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{2 \, \pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} d^{2} + 4 i \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right) + 4 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right) + 1\right)} - {\left({\left(\frac{2 \, {\left(\pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b d f^{2} x \mathrm{sgn}\left(F\right) + \pi b d f^{2} x\right)} {\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} f^{2} x^{2} + 2 \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b d f^{2} x \log\left({\left| F \right|}\right) + 4 \, f^{2}\right)} {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) - {\left(\frac{{\left(\pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} f^{2} x^{2} + 2 \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b d f^{2} x \log\left({\left| F \right|}\right) + 4 \, f^{2}\right)} {\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(\pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) - \pi b d f^{2} x \mathrm{sgn}\left(F\right) + \pi b d f^{2} x\right)} {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d x - \frac{1}{2} \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} i \, {\left(\frac{{\left(4 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} + 8 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) + 8 i \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) - 8 \, \pi b d f^{2} x - 16 i \, b d f^{2} x \log\left({\left| F \right|}\right) + 16 i \, f^{2}\right)} e^{\left(\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b d x + \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{-4 i \, \pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} b^{3} d^{3} - 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(4 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} \mathrm{sgn}\left(F\right) + 8 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} d^{2} f^{2} x^{2} - 8 \, \pi b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right) + 8 i \, b^{2} d^{2} f^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b d f^{2} x \mathrm{sgn}\left(F\right) + 8 \, \pi b d f^{2} x - 16 i \, b d f^{2} x \log\left({\left| F \right|}\right) + 16 i \, f^{2}\right)} e^{\left(-\frac{1}{2} i \, \pi b d x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b d x - \frac{1}{2} i \, \pi b c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{4 i \, \pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} b^{3} d^{3} - 12 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(b d x \log\left({\left| F \right|}\right) + b c \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)}"," ",0,"2*(2*b*d*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a)*log(abs(F))/(4*b^2*d^2*log(abs(F))^2 + (pi*b*d*sgn(F) - pi*b*d)^2) - (pi*b*d*sgn(F) - pi*b*d)*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a)/(4*b^2*d^2*log(abs(F))^2 + (pi*b*d*sgn(F) - pi*b*d)^2))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 2) - 1/2*I*(-2*I*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(I*pi*b*d*sgn(F) - I*pi*b*d + 2*b*d*log(abs(F))) + 2*I*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(-I*pi*b*d*sgn(F) + I*pi*b*d + 2*b*d*log(abs(F))))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 2) + 2*(2*((pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))*(pi*b*d*f*x*sgn(F) - pi*b*d*f*x)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2) + (pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)*(b*d*f*x*log(abs(F)) - f)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2))*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a) + ((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)*(pi*b*d*f*x*sgn(F) - pi*b*d*f*x)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2) - 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))*(b*d*f*x*log(abs(F)) - f)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2))*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 1) - 1/2*I*((4*pi*b*d*f*x*sgn(F) - 4*pi*b*d*f*x - 8*I*b*d*f*x*log(abs(F)) + 8*I*f)*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(2*pi^2*b^2*d^2*sgn(F) + 4*I*pi*b^2*d^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*d^2 - 4*I*pi*b^2*d^2*log(abs(F)) + 4*b^2*d^2*log(abs(F))^2) + (4*pi*b*d*f*x*sgn(F) - 4*pi*b*d*f*x + 8*I*b*d*f*x*log(abs(F)) - 8*I*f)*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(2*pi^2*b^2*d^2*sgn(F) - 4*I*pi*b^2*d^2*log(abs(F))*sgn(F) - 2*pi^2*b^2*d^2 + 4*I*pi*b^2*d^2*log(abs(F)) + 4*b^2*d^2*log(abs(F))^2))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)) + 1) - ((2*(pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) - pi*b^2*d^2*f^2*x^2*log(abs(F)) - pi*b*d*f^2*x*sgn(F) + pi*b*d*f^2*x)*(pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2) - (pi^2*b^2*d^2*f^2*x^2*sgn(F) - pi^2*b^2*d^2*f^2*x^2 + 2*b^2*d^2*f^2*x^2*log(abs(F))^2 - 4*b*d*f^2*x*log(abs(F)) + 4*f^2)*(3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2))*cos(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a) - ((pi^2*b^2*d^2*f^2*x^2*sgn(F) - pi^2*b^2*d^2*f^2*x^2 + 2*b^2*d^2*f^2*x^2*log(abs(F))^2 - 4*b*d*f^2*x*log(abs(F)) + 4*f^2)*(pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2) + 2*(pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) - pi*b^2*d^2*f^2*x^2*log(abs(F)) - pi*b*d*f^2*x*sgn(F) + pi*b*d*f^2*x)*(3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2))*sin(-1/2*pi*b*d*x*sgn(F) + 1/2*pi*b*d*x - 1/2*pi*b*c*sgn(F) + 1/2*pi*b*c - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F))) + 1/2*I*((4*I*pi^2*b^2*d^2*f^2*x^2*sgn(F) - 8*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*d^2*f^2*x^2 + 8*pi*b^2*d^2*f^2*x^2*log(abs(F)) + 8*I*b^2*d^2*f^2*x^2*log(abs(F))^2 + 8*pi*b*d*f^2*x*sgn(F) - 8*pi*b*d*f^2*x - 16*I*b*d*f^2*x*log(abs(F)) + 16*I*f^2)*e^(1/2*I*pi*b*d*x*sgn(F) - 1/2*I*pi*b*d*x + 1/2*I*pi*b*c*sgn(F) - 1/2*I*pi*b*c + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(-4*I*pi^3*b^3*d^3*sgn(F) + 12*pi^2*b^3*d^3*log(abs(F))*sgn(F) + 12*I*pi*b^3*d^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*b^3*d^3 - 12*pi^2*b^3*d^3*log(abs(F)) - 12*I*pi*b^3*d^3*log(abs(F))^2 + 8*b^3*d^3*log(abs(F))^3) - (4*I*pi^2*b^2*d^2*f^2*x^2*sgn(F) + 8*pi*b^2*d^2*f^2*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*d^2*f^2*x^2 - 8*pi*b^2*d^2*f^2*x^2*log(abs(F)) + 8*I*b^2*d^2*f^2*x^2*log(abs(F))^2 - 8*pi*b*d*f^2*x*sgn(F) + 8*pi*b*d*f^2*x - 16*I*b*d*f^2*x*log(abs(F)) + 16*I*f^2)*e^(-1/2*I*pi*b*d*x*sgn(F) + 1/2*I*pi*b*d*x - 1/2*I*pi*b*c*sgn(F) + 1/2*I*pi*b*c - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(4*I*pi^3*b^3*d^3*sgn(F) + 12*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 12*I*pi*b^3*d^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*b^3*d^3 - 12*pi^2*b^3*d^3*log(abs(F)) + 12*I*pi*b^3*d^3*log(abs(F))^2 + 8*b^3*d^3*log(abs(F))^3))*e^(b*d*x*log(abs(F)) + b*c*log(abs(F)) + a*log(abs(F)))","C",0
69,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c))*(f*x+e)^2/x,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} F^{{\left(d x + c\right)} b + a}}{x}\,{d x}"," ",0,"integrate((f*x + e)^2*F^((d*x + c)*b + a)/x, x)","F",0
70,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c))*(f*x+e)^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} F^{{\left(d x + c\right)} b + a}}{x^{2}}\,{d x}"," ",0,"integrate((f*x + e)^2*F^((d*x + c)*b + a)/x^2, x)","F",0
71,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c))*(f*x+e)^2/x^3,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} F^{{\left(d x + c\right)} b + a}}{x^{3}}\,{d x}"," ",0,"integrate((f*x + e)^2*F^((d*x + c)*b + a)/x^3, x)","F",0
72,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c))*(f*x+e)^2/x^4,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} F^{{\left(d x + c\right)} b + a}}{x^{4}}\,{d x}"," ",0,"integrate((f*x + e)^2*F^((d*x + c)*b + a)/x^4, x)","F",0
73,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c))*(f*x+e)^2/x^5,x, algorithm=""giac"")","\int \frac{{\left(f x + e\right)}^{2} F^{{\left(d x + c\right)} b + a}}{x^{5}}\,{d x}"," ",0,"integrate((f*x + e)^2*F^((d*x + c)*b + a)/x^5, x)","F",0
74,1,1096,0,0.438918," ","integrate(exp(-b*x-a)*(b*x+a)^4*(d*x+c)^3,x, algorithm=""giac"")","-\frac{{\left(b^{11} d^{3} x^{7} + 3 \, b^{11} c d^{2} x^{6} + 4 \, a b^{10} d^{3} x^{6} + 3 \, b^{11} c^{2} d x^{5} + 12 \, a b^{10} c d^{2} x^{5} + 6 \, a^{2} b^{9} d^{3} x^{5} + 7 \, b^{10} d^{3} x^{6} + b^{11} c^{3} x^{4} + 12 \, a b^{10} c^{2} d x^{4} + 18 \, a^{2} b^{9} c d^{2} x^{4} + 4 \, a^{3} b^{8} d^{3} x^{4} + 18 \, b^{10} c d^{2} x^{5} + 24 \, a b^{9} d^{3} x^{5} + 4 \, a b^{10} c^{3} x^{3} + 18 \, a^{2} b^{9} c^{2} d x^{3} + 12 \, a^{3} b^{8} c d^{2} x^{3} + a^{4} b^{7} d^{3} x^{3} + 15 \, b^{10} c^{2} d x^{4} + 60 \, a b^{9} c d^{2} x^{4} + 30 \, a^{2} b^{8} d^{3} x^{4} + 42 \, b^{9} d^{3} x^{5} + 6 \, a^{2} b^{9} c^{3} x^{2} + 12 \, a^{3} b^{8} c^{2} d x^{2} + 3 \, a^{4} b^{7} c d^{2} x^{2} + 4 \, b^{10} c^{3} x^{3} + 48 \, a b^{9} c^{2} d x^{3} + 72 \, a^{2} b^{8} c d^{2} x^{3} + 16 \, a^{3} b^{7} d^{3} x^{3} + 90 \, b^{9} c d^{2} x^{4} + 120 \, a b^{8} d^{3} x^{4} + 4 \, a^{3} b^{8} c^{3} x + 3 \, a^{4} b^{7} c^{2} d x + 12 \, a b^{9} c^{3} x^{2} + 54 \, a^{2} b^{8} c^{2} d x^{2} + 36 \, a^{3} b^{7} c d^{2} x^{2} + 3 \, a^{4} b^{6} d^{3} x^{2} + 60 \, b^{9} c^{2} d x^{3} + 240 \, a b^{8} c d^{2} x^{3} + 120 \, a^{2} b^{7} d^{3} x^{3} + 210 \, b^{8} d^{3} x^{4} + a^{4} b^{7} c^{3} + 12 \, a^{2} b^{8} c^{3} x + 24 \, a^{3} b^{7} c^{2} d x + 6 \, a^{4} b^{6} c d^{2} x + 12 \, b^{9} c^{3} x^{2} + 144 \, a b^{8} c^{2} d x^{2} + 216 \, a^{2} b^{7} c d^{2} x^{2} + 48 \, a^{3} b^{6} d^{3} x^{2} + 360 \, b^{8} c d^{2} x^{3} + 480 \, a b^{7} d^{3} x^{3} + 4 \, a^{3} b^{7} c^{3} + 3 \, a^{4} b^{6} c^{2} d + 24 \, a b^{8} c^{3} x + 108 \, a^{2} b^{7} c^{2} d x + 72 \, a^{3} b^{6} c d^{2} x + 6 \, a^{4} b^{5} d^{3} x + 180 \, b^{8} c^{2} d x^{2} + 720 \, a b^{7} c d^{2} x^{2} + 360 \, a^{2} b^{6} d^{3} x^{2} + 840 \, b^{7} d^{3} x^{3} + 12 \, a^{2} b^{7} c^{3} + 24 \, a^{3} b^{6} c^{2} d + 6 \, a^{4} b^{5} c d^{2} + 24 \, b^{8} c^{3} x + 288 \, a b^{7} c^{2} d x + 432 \, a^{2} b^{6} c d^{2} x + 96 \, a^{3} b^{5} d^{3} x + 1080 \, b^{7} c d^{2} x^{2} + 1440 \, a b^{6} d^{3} x^{2} + 24 \, a b^{7} c^{3} + 108 \, a^{2} b^{6} c^{2} d + 72 \, a^{3} b^{5} c d^{2} + 6 \, a^{4} b^{4} d^{3} + 360 \, b^{7} c^{2} d x + 1440 \, a b^{6} c d^{2} x + 720 \, a^{2} b^{5} d^{3} x + 2520 \, b^{6} d^{3} x^{2} + 24 \, b^{7} c^{3} + 288 \, a b^{6} c^{2} d + 432 \, a^{2} b^{5} c d^{2} + 96 \, a^{3} b^{4} d^{3} + 2160 \, b^{6} c d^{2} x + 2880 \, a b^{5} d^{3} x + 360 \, b^{6} c^{2} d + 1440 \, a b^{5} c d^{2} + 720 \, a^{2} b^{4} d^{3} + 5040 \, b^{5} d^{3} x + 2160 \, b^{5} c d^{2} + 2880 \, a b^{4} d^{3} + 5040 \, b^{4} d^{3}\right)} e^{\left(-b x - a\right)}}{b^{8}}"," ",0,"-(b^11*d^3*x^7 + 3*b^11*c*d^2*x^6 + 4*a*b^10*d^3*x^6 + 3*b^11*c^2*d*x^5 + 12*a*b^10*c*d^2*x^5 + 6*a^2*b^9*d^3*x^5 + 7*b^10*d^3*x^6 + b^11*c^3*x^4 + 12*a*b^10*c^2*d*x^4 + 18*a^2*b^9*c*d^2*x^4 + 4*a^3*b^8*d^3*x^4 + 18*b^10*c*d^2*x^5 + 24*a*b^9*d^3*x^5 + 4*a*b^10*c^3*x^3 + 18*a^2*b^9*c^2*d*x^3 + 12*a^3*b^8*c*d^2*x^3 + a^4*b^7*d^3*x^3 + 15*b^10*c^2*d*x^4 + 60*a*b^9*c*d^2*x^4 + 30*a^2*b^8*d^3*x^4 + 42*b^9*d^3*x^5 + 6*a^2*b^9*c^3*x^2 + 12*a^3*b^8*c^2*d*x^2 + 3*a^4*b^7*c*d^2*x^2 + 4*b^10*c^3*x^3 + 48*a*b^9*c^2*d*x^3 + 72*a^2*b^8*c*d^2*x^3 + 16*a^3*b^7*d^3*x^3 + 90*b^9*c*d^2*x^4 + 120*a*b^8*d^3*x^4 + 4*a^3*b^8*c^3*x + 3*a^4*b^7*c^2*d*x + 12*a*b^9*c^3*x^2 + 54*a^2*b^8*c^2*d*x^2 + 36*a^3*b^7*c*d^2*x^2 + 3*a^4*b^6*d^3*x^2 + 60*b^9*c^2*d*x^3 + 240*a*b^8*c*d^2*x^3 + 120*a^2*b^7*d^3*x^3 + 210*b^8*d^3*x^4 + a^4*b^7*c^3 + 12*a^2*b^8*c^3*x + 24*a^3*b^7*c^2*d*x + 6*a^4*b^6*c*d^2*x + 12*b^9*c^3*x^2 + 144*a*b^8*c^2*d*x^2 + 216*a^2*b^7*c*d^2*x^2 + 48*a^3*b^6*d^3*x^2 + 360*b^8*c*d^2*x^3 + 480*a*b^7*d^3*x^3 + 4*a^3*b^7*c^3 + 3*a^4*b^6*c^2*d + 24*a*b^8*c^3*x + 108*a^2*b^7*c^2*d*x + 72*a^3*b^6*c*d^2*x + 6*a^4*b^5*d^3*x + 180*b^8*c^2*d*x^2 + 720*a*b^7*c*d^2*x^2 + 360*a^2*b^6*d^3*x^2 + 840*b^7*d^3*x^3 + 12*a^2*b^7*c^3 + 24*a^3*b^6*c^2*d + 6*a^4*b^5*c*d^2 + 24*b^8*c^3*x + 288*a*b^7*c^2*d*x + 432*a^2*b^6*c*d^2*x + 96*a^3*b^5*d^3*x + 1080*b^7*c*d^2*x^2 + 1440*a*b^6*d^3*x^2 + 24*a*b^7*c^3 + 108*a^2*b^6*c^2*d + 72*a^3*b^5*c*d^2 + 6*a^4*b^4*d^3 + 360*b^7*c^2*d*x + 1440*a*b^6*c*d^2*x + 720*a^2*b^5*d^3*x + 2520*b^6*d^3*x^2 + 24*b^7*c^3 + 288*a*b^6*c^2*d + 432*a^2*b^5*c*d^2 + 96*a^3*b^4*d^3 + 2160*b^6*c*d^2*x + 2880*a*b^5*d^3*x + 360*b^6*c^2*d + 1440*a*b^5*c*d^2 + 720*a^2*b^4*d^3 + 5040*b^5*d^3*x + 2160*b^5*c*d^2 + 2880*a*b^4*d^3 + 5040*b^4*d^3)*e^(-b*x - a)/b^8","A",0
75,1,674,0,0.447210," ","integrate(exp(-b*x-a)*(b*x+a)^4*(d*x+c)^2,x, algorithm=""giac"")","-\frac{{\left(b^{10} d^{2} x^{6} + 2 \, b^{10} c d x^{5} + 4 \, a b^{9} d^{2} x^{5} + b^{10} c^{2} x^{4} + 8 \, a b^{9} c d x^{4} + 6 \, a^{2} b^{8} d^{2} x^{4} + 6 \, b^{9} d^{2} x^{5} + 4 \, a b^{9} c^{2} x^{3} + 12 \, a^{2} b^{8} c d x^{3} + 4 \, a^{3} b^{7} d^{2} x^{3} + 10 \, b^{9} c d x^{4} + 20 \, a b^{8} d^{2} x^{4} + 6 \, a^{2} b^{8} c^{2} x^{2} + 8 \, a^{3} b^{7} c d x^{2} + a^{4} b^{6} d^{2} x^{2} + 4 \, b^{9} c^{2} x^{3} + 32 \, a b^{8} c d x^{3} + 24 \, a^{2} b^{7} d^{2} x^{3} + 30 \, b^{8} d^{2} x^{4} + 4 \, a^{3} b^{7} c^{2} x + 2 \, a^{4} b^{6} c d x + 12 \, a b^{8} c^{2} x^{2} + 36 \, a^{2} b^{7} c d x^{2} + 12 \, a^{3} b^{6} d^{2} x^{2} + 40 \, b^{8} c d x^{3} + 80 \, a b^{7} d^{2} x^{3} + a^{4} b^{6} c^{2} + 12 \, a^{2} b^{7} c^{2} x + 16 \, a^{3} b^{6} c d x + 2 \, a^{4} b^{5} d^{2} x + 12 \, b^{8} c^{2} x^{2} + 96 \, a b^{7} c d x^{2} + 72 \, a^{2} b^{6} d^{2} x^{2} + 120 \, b^{7} d^{2} x^{3} + 4 \, a^{3} b^{6} c^{2} + 2 \, a^{4} b^{5} c d + 24 \, a b^{7} c^{2} x + 72 \, a^{2} b^{6} c d x + 24 \, a^{3} b^{5} d^{2} x + 120 \, b^{7} c d x^{2} + 240 \, a b^{6} d^{2} x^{2} + 12 \, a^{2} b^{6} c^{2} + 16 \, a^{3} b^{5} c d + 2 \, a^{4} b^{4} d^{2} + 24 \, b^{7} c^{2} x + 192 \, a b^{6} c d x + 144 \, a^{2} b^{5} d^{2} x + 360 \, b^{6} d^{2} x^{2} + 24 \, a b^{6} c^{2} + 72 \, a^{2} b^{5} c d + 24 \, a^{3} b^{4} d^{2} + 240 \, b^{6} c d x + 480 \, a b^{5} d^{2} x + 24 \, b^{6} c^{2} + 192 \, a b^{5} c d + 144 \, a^{2} b^{4} d^{2} + 720 \, b^{5} d^{2} x + 240 \, b^{5} c d + 480 \, a b^{4} d^{2} + 720 \, b^{4} d^{2}\right)} e^{\left(-b x - a\right)}}{b^{7}}"," ",0,"-(b^10*d^2*x^6 + 2*b^10*c*d*x^5 + 4*a*b^9*d^2*x^5 + b^10*c^2*x^4 + 8*a*b^9*c*d*x^4 + 6*a^2*b^8*d^2*x^4 + 6*b^9*d^2*x^5 + 4*a*b^9*c^2*x^3 + 12*a^2*b^8*c*d*x^3 + 4*a^3*b^7*d^2*x^3 + 10*b^9*c*d*x^4 + 20*a*b^8*d^2*x^4 + 6*a^2*b^8*c^2*x^2 + 8*a^3*b^7*c*d*x^2 + a^4*b^6*d^2*x^2 + 4*b^9*c^2*x^3 + 32*a*b^8*c*d*x^3 + 24*a^2*b^7*d^2*x^3 + 30*b^8*d^2*x^4 + 4*a^3*b^7*c^2*x + 2*a^4*b^6*c*d*x + 12*a*b^8*c^2*x^2 + 36*a^2*b^7*c*d*x^2 + 12*a^3*b^6*d^2*x^2 + 40*b^8*c*d*x^3 + 80*a*b^7*d^2*x^3 + a^4*b^6*c^2 + 12*a^2*b^7*c^2*x + 16*a^3*b^6*c*d*x + 2*a^4*b^5*d^2*x + 12*b^8*c^2*x^2 + 96*a*b^7*c*d*x^2 + 72*a^2*b^6*d^2*x^2 + 120*b^7*d^2*x^3 + 4*a^3*b^6*c^2 + 2*a^4*b^5*c*d + 24*a*b^7*c^2*x + 72*a^2*b^6*c*d*x + 24*a^3*b^5*d^2*x + 120*b^7*c*d*x^2 + 240*a*b^6*d^2*x^2 + 12*a^2*b^6*c^2 + 16*a^3*b^5*c*d + 2*a^4*b^4*d^2 + 24*b^7*c^2*x + 192*a*b^6*c*d*x + 144*a^2*b^5*d^2*x + 360*b^6*d^2*x^2 + 24*a*b^6*c^2 + 72*a^2*b^5*c*d + 24*a^3*b^4*d^2 + 240*b^6*c*d*x + 480*a*b^5*d^2*x + 24*b^6*c^2 + 192*a*b^5*c*d + 144*a^2*b^4*d^2 + 720*b^5*d^2*x + 240*b^5*c*d + 480*a*b^4*d^2 + 720*b^4*d^2)*e^(-b*x - a)/b^7","A",0
76,1,331,0,0.415984," ","integrate(exp(-b*x-a)*(b*x+a)^4*(d*x+c),x, algorithm=""giac"")","-\frac{{\left(b^{9} d x^{5} + b^{9} c x^{4} + 4 \, a b^{8} d x^{4} + 4 \, a b^{8} c x^{3} + 6 \, a^{2} b^{7} d x^{3} + 5 \, b^{8} d x^{4} + 6 \, a^{2} b^{7} c x^{2} + 4 \, a^{3} b^{6} d x^{2} + 4 \, b^{8} c x^{3} + 16 \, a b^{7} d x^{3} + 4 \, a^{3} b^{6} c x + a^{4} b^{5} d x + 12 \, a b^{7} c x^{2} + 18 \, a^{2} b^{6} d x^{2} + 20 \, b^{7} d x^{3} + a^{4} b^{5} c + 12 \, a^{2} b^{6} c x + 8 \, a^{3} b^{5} d x + 12 \, b^{7} c x^{2} + 48 \, a b^{6} d x^{2} + 4 \, a^{3} b^{5} c + a^{4} b^{4} d + 24 \, a b^{6} c x + 36 \, a^{2} b^{5} d x + 60 \, b^{6} d x^{2} + 12 \, a^{2} b^{5} c + 8 \, a^{3} b^{4} d + 24 \, b^{6} c x + 96 \, a b^{5} d x + 24 \, a b^{5} c + 36 \, a^{2} b^{4} d + 120 \, b^{5} d x + 24 \, b^{5} c + 96 \, a b^{4} d + 120 \, b^{4} d\right)} e^{\left(-b x - a\right)}}{b^{6}}"," ",0,"-(b^9*d*x^5 + b^9*c*x^4 + 4*a*b^8*d*x^4 + 4*a*b^8*c*x^3 + 6*a^2*b^7*d*x^3 + 5*b^8*d*x^4 + 6*a^2*b^7*c*x^2 + 4*a^3*b^6*d*x^2 + 4*b^8*c*x^3 + 16*a*b^7*d*x^3 + 4*a^3*b^6*c*x + a^4*b^5*d*x + 12*a*b^7*c*x^2 + 18*a^2*b^6*d*x^2 + 20*b^7*d*x^3 + a^4*b^5*c + 12*a^2*b^6*c*x + 8*a^3*b^5*d*x + 12*b^7*c*x^2 + 48*a*b^6*d*x^2 + 4*a^3*b^5*c + a^4*b^4*d + 24*a*b^6*c*x + 36*a^2*b^5*d*x + 60*b^6*d*x^2 + 12*a^2*b^5*c + 8*a^3*b^4*d + 24*b^6*c*x + 96*a*b^5*d*x + 24*a*b^5*c + 36*a^2*b^4*d + 120*b^5*d*x + 24*b^5*c + 96*a*b^4*d + 120*b^4*d)*e^(-b*x - a)/b^6","A",0
77,1,132,0,0.373291," ","integrate(exp(-b*x-a)*(b*x+a)^4,x, algorithm=""giac"")","-\frac{{\left(b^{8} x^{4} + 4 \, a b^{7} x^{3} + 6 \, a^{2} b^{6} x^{2} + 4 \, b^{7} x^{3} + 4 \, a^{3} b^{5} x + 12 \, a b^{6} x^{2} + a^{4} b^{4} + 12 \, a^{2} b^{5} x + 12 \, b^{6} x^{2} + 4 \, a^{3} b^{4} + 24 \, a b^{5} x + 12 \, a^{2} b^{4} + 24 \, b^{5} x + 24 \, a b^{4} + 24 \, b^{4}\right)} e^{\left(-b x - a\right)}}{b^{5}}"," ",0,"-(b^8*x^4 + 4*a*b^7*x^3 + 6*a^2*b^6*x^2 + 4*b^7*x^3 + 4*a^3*b^5*x + 12*a*b^6*x^2 + a^4*b^4 + 12*a^2*b^5*x + 12*b^6*x^2 + 4*a^3*b^4 + 24*a*b^5*x + 12*a^2*b^4 + 24*b^5*x + 24*a*b^4 + 24*b^4)*e^(-b*x - a)/b^5","A",0
78,1,546,0,0.400744," ","integrate(exp(-b*x-a)*(b*x+a)^4/(d*x+c),x, algorithm=""giac"")","-\frac{b^{3} d^{4} x^{3} e^{\left(-b x - a\right)} - b^{3} c d^{3} x^{2} e^{\left(-b x - a\right)} + 4 \, a b^{2} d^{4} x^{2} e^{\left(-b x - a\right)} - b^{4} c^{4} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 4 \, a b^{3} c^{3} d {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 6 \, a^{2} b^{2} c^{2} d^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 4 \, a^{3} b c d^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - a^{4} d^{4} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + b^{3} c^{2} d^{2} x e^{\left(-b x - a\right)} - 4 \, a b^{2} c d^{3} x e^{\left(-b x - a\right)} + 6 \, a^{2} b d^{4} x e^{\left(-b x - a\right)} + 3 \, b^{2} d^{4} x^{2} e^{\left(-b x - a\right)} - b^{3} c^{3} d e^{\left(-b x - a\right)} + 4 \, a b^{2} c^{2} d^{2} e^{\left(-b x - a\right)} - 6 \, a^{2} b c d^{3} e^{\left(-b x - a\right)} + 4 \, a^{3} d^{4} e^{\left(-b x - a\right)} - 2 \, b^{2} c d^{3} x e^{\left(-b x - a\right)} + 8 \, a b d^{4} x e^{\left(-b x - a\right)} + b^{2} c^{2} d^{2} e^{\left(-b x - a\right)} - 4 \, a b c d^{3} e^{\left(-b x - a\right)} + 6 \, a^{2} d^{4} e^{\left(-b x - a\right)} + 6 \, b d^{4} x e^{\left(-b x - a\right)} - 2 \, b c d^{3} e^{\left(-b x - a\right)} + 8 \, a d^{4} e^{\left(-b x - a\right)} + 6 \, d^{4} e^{\left(-b x - a\right)}}{d^{5}}"," ",0,"-(b^3*d^4*x^3*e^(-b*x - a) - b^3*c*d^3*x^2*e^(-b*x - a) + 4*a*b^2*d^4*x^2*e^(-b*x - a) - b^4*c^4*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 4*a*b^3*c^3*d*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 6*a^2*b^2*c^2*d^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 4*a^3*b*c*d^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - a^4*d^4*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + b^3*c^2*d^2*x*e^(-b*x - a) - 4*a*b^2*c*d^3*x*e^(-b*x - a) + 6*a^2*b*d^4*x*e^(-b*x - a) + 3*b^2*d^4*x^2*e^(-b*x - a) - b^3*c^3*d*e^(-b*x - a) + 4*a*b^2*c^2*d^2*e^(-b*x - a) - 6*a^2*b*c*d^3*e^(-b*x - a) + 4*a^3*d^4*e^(-b*x - a) - 2*b^2*c*d^3*x*e^(-b*x - a) + 8*a*b*d^4*x*e^(-b*x - a) + b^2*c^2*d^2*e^(-b*x - a) - 4*a*b*c*d^3*e^(-b*x - a) + 6*a^2*d^4*e^(-b*x - a) + 6*b*d^4*x*e^(-b*x - a) - 2*b*c*d^3*e^(-b*x - a) + 8*a*d^4*e^(-b*x - a) + 6*d^4*e^(-b*x - a))/d^5","B",0
79,1,2861,0,0.686255," ","integrate(exp(-b*x-a)*(b*x+a)^4/(d*x+c)^2,x, algorithm=""giac"")","-\frac{{\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{6} c^{4} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + b^{7} c^{5} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - 4 \, {\left(d x + c\right)} a {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{5} c^{3} d {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - 5 \, a b^{6} c^{4} d {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + 6 \, {\left(d x + c\right)} a^{2} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{4} c^{2} d^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + 10 \, a^{2} b^{5} c^{3} d^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - 4 \, {\left(d x + c\right)} a^{3} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{3} c d^{3} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - 10 \, a^{3} b^{4} c^{2} d^{3} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + {\left(d x + c\right)} a^{4} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} d^{4} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + 5 \, a^{4} b^{3} c d^{4} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - a^{5} b^{2} d^{5} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + 4 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{5} c^{3} d {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + 4 \, b^{6} c^{4} d {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - 12 \, {\left(d x + c\right)} a {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{4} c^{2} d^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - 16 \, a b^{5} c^{3} d^{2} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + 12 \, {\left(d x + c\right)} a^{2} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{3} c d^{3} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + 24 \, a^{2} b^{4} c^{2} d^{3} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - 4 \, {\left(d x + c\right)} a^{3} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} d^{4} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} - 16 \, a^{3} b^{3} c d^{4} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + 4 \, a^{4} b^{2} d^{5} {\rm Ei}\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} + b c - a d}{d}\right) e^{\left(\frac{b c - a d}{d}\right)} + b^{6} c^{4} d e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} - 4 \, a b^{5} c^{3} d^{2} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + 6 \, a^{2} b^{4} c^{2} d^{3} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} - 4 \, a^{3} b^{3} c d^{4} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + a^{4} b^{2} d^{5} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + {\left(d x + c\right)}^{3} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}^{3} b^{2} d^{2} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} - {\left(d x + c\right)}^{2} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}^{2} b^{3} c d^{2} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{4} c^{2} d^{2} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + 3 \, b^{5} c^{3} d^{2} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + {\left(d x + c\right)}^{2} a {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}^{2} b^{2} d^{3} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} - 2 \, {\left(d x + c\right)} a {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{3} c d^{3} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} - 9 \, a b^{4} c^{2} d^{3} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + {\left(d x + c\right)} a^{2} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} d^{4} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + 9 \, a^{2} b^{3} c d^{4} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} - 3 \, a^{3} b^{2} d^{5} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + 2 \, {\left(d x + c\right)}^{2} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}^{2} b^{2} d^{3} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} - 2 \, b^{4} c^{2} d^{3} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + 4 \, a b^{3} c d^{4} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} - 2 \, a^{2} b^{2} d^{5} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + 2 \, {\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} b^{2} d^{4} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} + 2 \, b^{3} c d^{4} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)} - 2 \, a b^{2} d^{5} e^{\left(-\frac{{\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)}}{d}\right)}\right)} d^{2}}{{\left({\left(d x + c\right)} {\left(b - \frac{b c}{d x + c} + \frac{a d}{d x + c}\right)} d^{8} + b c d^{8} - a d^{9}\right)} b}"," ",0,"-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^6*c^4*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + b^7*c^5*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - 4*(d*x + c)*a*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^5*c^3*d*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - 5*a*b^6*c^4*d*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + 6*(d*x + c)*a^2*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^4*c^2*d^2*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + 10*a^2*b^5*c^3*d^2*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - 4*(d*x + c)*a^3*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^3*c*d^3*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - 10*a^3*b^4*c^2*d^3*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + (d*x + c)*a^4*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*d^4*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + 5*a^4*b^3*c*d^4*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - a^5*b^2*d^5*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + 4*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^5*c^3*d*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + 4*b^6*c^4*d*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - 12*(d*x + c)*a*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^4*c^2*d^2*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - 16*a*b^5*c^3*d^2*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + 12*(d*x + c)*a^2*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^3*c*d^3*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + 24*a^2*b^4*c^2*d^3*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - 4*(d*x + c)*a^3*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*d^4*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) - 16*a^3*b^3*c*d^4*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + 4*a^4*b^2*d^5*Ei(-((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c)) + b*c - a*d)/d)*e^((b*c - a*d)/d) + b^6*c^4*d*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) - 4*a*b^5*c^3*d^2*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + 6*a^2*b^4*c^2*d^3*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) - 4*a^3*b^3*c*d^4*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + a^4*b^2*d^5*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + (d*x + c)^3*(b - b*c/(d*x + c) + a*d/(d*x + c))^3*b^2*d^2*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) - (d*x + c)^2*(b - b*c/(d*x + c) + a*d/(d*x + c))^2*b^3*c*d^2*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + (d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^4*c^2*d^2*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + 3*b^5*c^3*d^2*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + (d*x + c)^2*a*(b - b*c/(d*x + c) + a*d/(d*x + c))^2*b^2*d^3*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) - 2*(d*x + c)*a*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^3*c*d^3*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) - 9*a*b^4*c^2*d^3*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + (d*x + c)*a^2*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*d^4*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + 9*a^2*b^3*c*d^4*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) - 3*a^3*b^2*d^5*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + 2*(d*x + c)^2*(b - b*c/(d*x + c) + a*d/(d*x + c))^2*b^2*d^3*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) - 2*b^4*c^2*d^3*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + 4*a*b^3*c*d^4*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) - 2*a^2*b^2*d^5*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + 2*(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*b^2*d^4*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) + 2*b^3*c*d^4*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d) - 2*a*b^2*d^5*e^(-(d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))/d))*d^2/(((d*x + c)*(b - b*c/(d*x + c) + a*d/(d*x + c))*d^8 + b*c*d^8 - a*d^9)*b)","B",0
80,1,1995,0,0.472263," ","integrate(exp(-b*x-a)*(b*x+a)^4/(d*x+c)^3,x, algorithm=""giac"")","\frac{b^{6} c^{4} d^{2} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 4 \, a b^{5} c^{3} d^{3} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 6 \, a^{2} b^{4} c^{2} d^{4} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 4 \, a^{3} b^{3} c d^{5} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + a^{4} b^{2} d^{6} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 2 \, b^{6} c^{5} d x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 8 \, a b^{5} c^{4} d^{2} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 12 \, a^{2} b^{4} c^{3} d^{3} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 8 \, a^{3} b^{3} c^{2} d^{4} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 2 \, a^{4} b^{2} c d^{5} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 8 \, b^{5} c^{3} d^{3} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 24 \, a b^{4} c^{2} d^{4} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 24 \, a^{2} b^{3} c d^{5} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 8 \, a^{3} b^{2} d^{6} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + b^{6} c^{6} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 4 \, a b^{5} c^{5} d {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 6 \, a^{2} b^{4} c^{4} d^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 4 \, a^{3} b^{3} c^{3} d^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + a^{4} b^{2} c^{2} d^{4} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 16 \, b^{5} c^{4} d^{2} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 48 \, a b^{4} c^{3} d^{3} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 48 \, a^{2} b^{3} c^{2} d^{4} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 16 \, a^{3} b^{2} c d^{5} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 12 \, b^{4} c^{2} d^{4} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 24 \, a b^{3} c d^{5} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 12 \, a^{2} b^{2} d^{6} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + b^{5} c^{4} d^{2} x e^{\left(-b x - a\right)} - 4 \, a b^{4} c^{3} d^{3} x e^{\left(-b x - a\right)} + 6 \, a^{2} b^{3} c^{2} d^{4} x e^{\left(-b x - a\right)} - 4 \, a^{3} b^{2} c d^{5} x e^{\left(-b x - a\right)} + a^{4} b d^{6} x e^{\left(-b x - a\right)} - 2 \, b^{3} d^{6} x^{3} e^{\left(-b x - a\right)} + 8 \, b^{5} c^{5} d {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 24 \, a b^{4} c^{4} d^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 24 \, a^{2} b^{3} c^{3} d^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 8 \, a^{3} b^{2} c^{2} d^{4} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 24 \, b^{4} c^{3} d^{3} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 48 \, a b^{3} c^{2} d^{4} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 24 \, a^{2} b^{2} c d^{5} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + b^{5} c^{5} d e^{\left(-b x - a\right)} - 4 \, a b^{4} c^{4} d^{2} e^{\left(-b x - a\right)} + 6 \, a^{2} b^{3} c^{3} d^{3} e^{\left(-b x - a\right)} - 4 \, a^{3} b^{2} c^{2} d^{4} e^{\left(-b x - a\right)} + a^{4} b c d^{5} e^{\left(-b x - a\right)} + 8 \, b^{4} c^{3} d^{3} x e^{\left(-b x - a\right)} - 24 \, a b^{3} c^{2} d^{4} x e^{\left(-b x - a\right)} + 24 \, a^{2} b^{2} c d^{5} x e^{\left(-b x - a\right)} - 8 \, a^{3} b d^{6} x e^{\left(-b x - a\right)} + 2 \, b^{3} c d^{5} x^{2} e^{\left(-b x - a\right)} - 8 \, a b^{2} d^{6} x^{2} e^{\left(-b x - a\right)} + 12 \, b^{4} c^{4} d^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 24 \, a b^{3} c^{3} d^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 12 \, a^{2} b^{2} c^{2} d^{4} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 7 \, b^{4} c^{4} d^{2} e^{\left(-b x - a\right)} - 20 \, a b^{3} c^{3} d^{3} e^{\left(-b x - a\right)} + 18 \, a^{2} b^{2} c^{2} d^{4} e^{\left(-b x - a\right)} - 4 \, a^{3} b c d^{5} e^{\left(-b x - a\right)} - a^{4} d^{6} e^{\left(-b x - a\right)} + 10 \, b^{3} c^{2} d^{4} x e^{\left(-b x - a\right)} - 16 \, a b^{2} c d^{5} x e^{\left(-b x - a\right)} - 2 \, b^{2} d^{6} x^{2} e^{\left(-b x - a\right)} + 6 \, b^{3} c^{3} d^{3} e^{\left(-b x - a\right)} - 8 \, a b^{2} c^{2} d^{4} e^{\left(-b x - a\right)} - 4 \, b^{2} c d^{5} x e^{\left(-b x - a\right)} - 2 \, b^{2} c^{2} d^{4} e^{\left(-b x - a\right)}}{2 \, {\left(d^{9} x^{2} + 2 \, c d^{8} x + c^{2} d^{7}\right)}}"," ",0,"1/2*(b^6*c^4*d^2*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 4*a*b^5*c^3*d^3*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 6*a^2*b^4*c^2*d^4*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 4*a^3*b^3*c*d^5*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + a^4*b^2*d^6*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 2*b^6*c^5*d*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 8*a*b^5*c^4*d^2*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 12*a^2*b^4*c^3*d^3*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 8*a^3*b^3*c^2*d^4*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 2*a^4*b^2*c*d^5*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 8*b^5*c^3*d^3*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 24*a*b^4*c^2*d^4*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 24*a^2*b^3*c*d^5*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 8*a^3*b^2*d^6*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + b^6*c^6*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 4*a*b^5*c^5*d*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 6*a^2*b^4*c^4*d^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 4*a^3*b^3*c^3*d^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + a^4*b^2*c^2*d^4*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 16*b^5*c^4*d^2*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 48*a*b^4*c^3*d^3*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 48*a^2*b^3*c^2*d^4*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 16*a^3*b^2*c*d^5*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 12*b^4*c^2*d^4*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 24*a*b^3*c*d^5*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 12*a^2*b^2*d^6*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + b^5*c^4*d^2*x*e^(-b*x - a) - 4*a*b^4*c^3*d^3*x*e^(-b*x - a) + 6*a^2*b^3*c^2*d^4*x*e^(-b*x - a) - 4*a^3*b^2*c*d^5*x*e^(-b*x - a) + a^4*b*d^6*x*e^(-b*x - a) - 2*b^3*d^6*x^3*e^(-b*x - a) + 8*b^5*c^5*d*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 24*a*b^4*c^4*d^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 24*a^2*b^3*c^3*d^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 8*a^3*b^2*c^2*d^4*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 24*b^4*c^3*d^3*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 48*a*b^3*c^2*d^4*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 24*a^2*b^2*c*d^5*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + b^5*c^5*d*e^(-b*x - a) - 4*a*b^4*c^4*d^2*e^(-b*x - a) + 6*a^2*b^3*c^3*d^3*e^(-b*x - a) - 4*a^3*b^2*c^2*d^4*e^(-b*x - a) + a^4*b*c*d^5*e^(-b*x - a) + 8*b^4*c^3*d^3*x*e^(-b*x - a) - 24*a*b^3*c^2*d^4*x*e^(-b*x - a) + 24*a^2*b^2*c*d^5*x*e^(-b*x - a) - 8*a^3*b*d^6*x*e^(-b*x - a) + 2*b^3*c*d^5*x^2*e^(-b*x - a) - 8*a*b^2*d^6*x^2*e^(-b*x - a) + 12*b^4*c^4*d^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 24*a*b^3*c^3*d^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 12*a^2*b^2*c^2*d^4*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 7*b^4*c^4*d^2*e^(-b*x - a) - 20*a*b^3*c^3*d^3*e^(-b*x - a) + 18*a^2*b^2*c^2*d^4*e^(-b*x - a) - 4*a^3*b*c*d^5*e^(-b*x - a) - a^4*d^6*e^(-b*x - a) + 10*b^3*c^2*d^4*x*e^(-b*x - a) - 16*a*b^2*c*d^5*x*e^(-b*x - a) - 2*b^2*d^6*x^2*e^(-b*x - a) + 6*b^3*c^3*d^3*e^(-b*x - a) - 8*a*b^2*c^2*d^4*e^(-b*x - a) - 4*b^2*c*d^5*x*e^(-b*x - a) - 2*b^2*c^2*d^4*e^(-b*x - a))/(d^9*x^2 + 2*c*d^8*x + c^2*d^7)","B",0
81,1,3178,0,0.529688," ","integrate(exp(-b*x-a)*(b*x+a)^4/(d*x+c)^4,x, algorithm=""giac"")","-\frac{b^{7} c^{4} d^{3} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 4 \, a b^{6} c^{3} d^{4} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 6 \, a^{2} b^{5} c^{2} d^{5} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 4 \, a^{3} b^{4} c d^{6} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + a^{4} b^{3} d^{7} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 3 \, b^{7} c^{5} d^{2} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 12 \, a b^{6} c^{4} d^{3} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 18 \, a^{2} b^{5} c^{3} d^{4} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 12 \, a^{3} b^{4} c^{2} d^{5} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 3 \, a^{4} b^{3} c d^{6} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 12 \, b^{6} c^{3} d^{4} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 36 \, a b^{5} c^{2} d^{5} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 36 \, a^{2} b^{4} c d^{6} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 12 \, a^{3} b^{3} d^{7} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 3 \, b^{7} c^{6} d x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 12 \, a b^{6} c^{5} d^{2} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 18 \, a^{2} b^{5} c^{4} d^{3} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 12 \, a^{3} b^{4} c^{3} d^{4} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 3 \, a^{4} b^{3} c^{2} d^{5} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 36 \, b^{6} c^{4} d^{3} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 108 \, a b^{5} c^{3} d^{4} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 108 \, a^{2} b^{4} c^{2} d^{5} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 36 \, a^{3} b^{3} c d^{6} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 36 \, b^{5} c^{2} d^{5} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 72 \, a b^{4} c d^{6} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 36 \, a^{2} b^{3} d^{7} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + b^{6} c^{4} d^{3} x^{2} e^{\left(-b x - a\right)} - 4 \, a b^{5} c^{3} d^{4} x^{2} e^{\left(-b x - a\right)} + 6 \, a^{2} b^{4} c^{2} d^{5} x^{2} e^{\left(-b x - a\right)} - 4 \, a^{3} b^{3} c d^{6} x^{2} e^{\left(-b x - a\right)} + a^{4} b^{2} d^{7} x^{2} e^{\left(-b x - a\right)} + b^{7} c^{7} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 4 \, a b^{6} c^{6} d {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 6 \, a^{2} b^{5} c^{5} d^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 4 \, a^{3} b^{4} c^{4} d^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + a^{4} b^{3} c^{3} d^{4} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 36 \, b^{6} c^{5} d^{2} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 108 \, a b^{5} c^{4} d^{3} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 108 \, a^{2} b^{4} c^{3} d^{4} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 36 \, a^{3} b^{3} c^{2} d^{5} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 108 \, b^{5} c^{3} d^{4} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 216 \, a b^{4} c^{2} d^{5} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 108 \, a^{2} b^{3} c d^{6} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 24 \, b^{4} c d^{6} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 24 \, a b^{3} d^{7} x^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 2 \, b^{6} c^{5} d^{2} x e^{\left(-b x - a\right)} - 8 \, a b^{5} c^{4} d^{3} x e^{\left(-b x - a\right)} + 12 \, a^{2} b^{4} c^{3} d^{4} x e^{\left(-b x - a\right)} - 8 \, a^{3} b^{3} c^{2} d^{5} x e^{\left(-b x - a\right)} + 2 \, a^{4} b^{2} c d^{6} x e^{\left(-b x - a\right)} + 12 \, b^{5} c^{3} d^{4} x^{2} e^{\left(-b x - a\right)} - 36 \, a b^{4} c^{2} d^{5} x^{2} e^{\left(-b x - a\right)} + 36 \, a^{2} b^{3} c d^{6} x^{2} e^{\left(-b x - a\right)} - 12 \, a^{3} b^{2} d^{7} x^{2} e^{\left(-b x - a\right)} + 12 \, b^{6} c^{6} d {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 36 \, a b^{5} c^{5} d^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 36 \, a^{2} b^{4} c^{4} d^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 12 \, a^{3} b^{3} c^{3} d^{4} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 108 \, b^{5} c^{4} d^{3} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 216 \, a b^{4} c^{3} d^{4} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 108 \, a^{2} b^{3} c^{2} d^{5} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 72 \, b^{4} c^{2} d^{5} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 72 \, a b^{3} c d^{6} x^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + b^{6} c^{6} d e^{\left(-b x - a\right)} - 4 \, a b^{5} c^{5} d^{2} e^{\left(-b x - a\right)} + 6 \, a^{2} b^{4} c^{4} d^{3} e^{\left(-b x - a\right)} - 4 \, a^{3} b^{3} c^{3} d^{4} e^{\left(-b x - a\right)} + a^{4} b^{2} c^{2} d^{5} e^{\left(-b x - a\right)} + 23 \, b^{5} c^{4} d^{3} x e^{\left(-b x - a\right)} - 68 \, a b^{4} c^{3} d^{4} x e^{\left(-b x - a\right)} + 66 \, a^{2} b^{3} c^{2} d^{5} x e^{\left(-b x - a\right)} - 20 \, a^{3} b^{2} c d^{6} x e^{\left(-b x - a\right)} - a^{4} b d^{7} x e^{\left(-b x - a\right)} + 36 \, b^{4} c^{2} d^{5} x^{2} e^{\left(-b x - a\right)} - 72 \, a b^{3} c d^{6} x^{2} e^{\left(-b x - a\right)} + 36 \, a^{2} b^{2} d^{7} x^{2} e^{\left(-b x - a\right)} + 6 \, b^{3} d^{7} x^{3} e^{\left(-b x - a\right)} + 36 \, b^{5} c^{5} d^{2} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 72 \, a b^{4} c^{4} d^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 36 \, a^{2} b^{3} c^{3} d^{4} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 72 \, b^{4} c^{3} d^{4} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 72 \, a b^{3} c^{2} d^{5} x {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 11 \, b^{5} c^{5} d^{2} e^{\left(-b x - a\right)} - 32 \, a b^{4} c^{4} d^{3} e^{\left(-b x - a\right)} + 30 \, a^{2} b^{3} c^{3} d^{4} e^{\left(-b x - a\right)} - 8 \, a^{3} b^{2} c^{2} d^{5} e^{\left(-b x - a\right)} - a^{4} b c d^{6} e^{\left(-b x - a\right)} + 60 \, b^{4} c^{3} d^{4} x e^{\left(-b x - a\right)} - 108 \, a b^{3} c^{2} d^{5} x e^{\left(-b x - a\right)} + 36 \, a^{2} b^{2} c d^{6} x e^{\left(-b x - a\right)} + 12 \, a^{3} b d^{7} x e^{\left(-b x - a\right)} + 18 \, b^{3} c d^{6} x^{2} e^{\left(-b x - a\right)} + 24 \, b^{4} c^{4} d^{3} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} - 24 \, a b^{3} c^{3} d^{4} {\rm Ei}\left(-\frac{b d x + b c}{d}\right) e^{\left(-a + \frac{b c}{d}\right)} + 26 \, b^{4} c^{4} d^{3} e^{\left(-b x - a\right)} - 44 \, a b^{3} c^{3} d^{4} e^{\left(-b x - a\right)} + 12 \, a^{2} b^{2} c^{2} d^{5} e^{\left(-b x - a\right)} + 4 \, a^{3} b c d^{6} e^{\left(-b x - a\right)} + 2 \, a^{4} d^{7} e^{\left(-b x - a\right)} + 18 \, b^{3} c^{2} d^{5} x e^{\left(-b x - a\right)} + 6 \, b^{3} c^{3} d^{4} e^{\left(-b x - a\right)}}{6 \, {\left(d^{11} x^{3} + 3 \, c d^{10} x^{2} + 3 \, c^{2} d^{9} x + c^{3} d^{8}\right)}}"," ",0,"-1/6*(b^7*c^4*d^3*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 4*a*b^6*c^3*d^4*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 6*a^2*b^5*c^2*d^5*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 4*a^3*b^4*c*d^6*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + a^4*b^3*d^7*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 3*b^7*c^5*d^2*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 12*a*b^6*c^4*d^3*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 18*a^2*b^5*c^3*d^4*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 12*a^3*b^4*c^2*d^5*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 3*a^4*b^3*c*d^6*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 12*b^6*c^3*d^4*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 36*a*b^5*c^2*d^5*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 36*a^2*b^4*c*d^6*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 12*a^3*b^3*d^7*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 3*b^7*c^6*d*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 12*a*b^6*c^5*d^2*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 18*a^2*b^5*c^4*d^3*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 12*a^3*b^4*c^3*d^4*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 3*a^4*b^3*c^2*d^5*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 36*b^6*c^4*d^3*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 108*a*b^5*c^3*d^4*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 108*a^2*b^4*c^2*d^5*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 36*a^3*b^3*c*d^6*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 36*b^5*c^2*d^5*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 72*a*b^4*c*d^6*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 36*a^2*b^3*d^7*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + b^6*c^4*d^3*x^2*e^(-b*x - a) - 4*a*b^5*c^3*d^4*x^2*e^(-b*x - a) + 6*a^2*b^4*c^2*d^5*x^2*e^(-b*x - a) - 4*a^3*b^3*c*d^6*x^2*e^(-b*x - a) + a^4*b^2*d^7*x^2*e^(-b*x - a) + b^7*c^7*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 4*a*b^6*c^6*d*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 6*a^2*b^5*c^5*d^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 4*a^3*b^4*c^4*d^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + a^4*b^3*c^3*d^4*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 36*b^6*c^5*d^2*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 108*a*b^5*c^4*d^3*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 108*a^2*b^4*c^3*d^4*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 36*a^3*b^3*c^2*d^5*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 108*b^5*c^3*d^4*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 216*a*b^4*c^2*d^5*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 108*a^2*b^3*c*d^6*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 24*b^4*c*d^6*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 24*a*b^3*d^7*x^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 2*b^6*c^5*d^2*x*e^(-b*x - a) - 8*a*b^5*c^4*d^3*x*e^(-b*x - a) + 12*a^2*b^4*c^3*d^4*x*e^(-b*x - a) - 8*a^3*b^3*c^2*d^5*x*e^(-b*x - a) + 2*a^4*b^2*c*d^6*x*e^(-b*x - a) + 12*b^5*c^3*d^4*x^2*e^(-b*x - a) - 36*a*b^4*c^2*d^5*x^2*e^(-b*x - a) + 36*a^2*b^3*c*d^6*x^2*e^(-b*x - a) - 12*a^3*b^2*d^7*x^2*e^(-b*x - a) + 12*b^6*c^6*d*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 36*a*b^5*c^5*d^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 36*a^2*b^4*c^4*d^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 12*a^3*b^3*c^3*d^4*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 108*b^5*c^4*d^3*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 216*a*b^4*c^3*d^4*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 108*a^2*b^3*c^2*d^5*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 72*b^4*c^2*d^5*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 72*a*b^3*c*d^6*x^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + b^6*c^6*d*e^(-b*x - a) - 4*a*b^5*c^5*d^2*e^(-b*x - a) + 6*a^2*b^4*c^4*d^3*e^(-b*x - a) - 4*a^3*b^3*c^3*d^4*e^(-b*x - a) + a^4*b^2*c^2*d^5*e^(-b*x - a) + 23*b^5*c^4*d^3*x*e^(-b*x - a) - 68*a*b^4*c^3*d^4*x*e^(-b*x - a) + 66*a^2*b^3*c^2*d^5*x*e^(-b*x - a) - 20*a^3*b^2*c*d^6*x*e^(-b*x - a) - a^4*b*d^7*x*e^(-b*x - a) + 36*b^4*c^2*d^5*x^2*e^(-b*x - a) - 72*a*b^3*c*d^6*x^2*e^(-b*x - a) + 36*a^2*b^2*d^7*x^2*e^(-b*x - a) + 6*b^3*d^7*x^3*e^(-b*x - a) + 36*b^5*c^5*d^2*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 72*a*b^4*c^4*d^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 36*a^2*b^3*c^3*d^4*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 72*b^4*c^3*d^4*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 72*a*b^3*c^2*d^5*x*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 11*b^5*c^5*d^2*e^(-b*x - a) - 32*a*b^4*c^4*d^3*e^(-b*x - a) + 30*a^2*b^3*c^3*d^4*e^(-b*x - a) - 8*a^3*b^2*c^2*d^5*e^(-b*x - a) - a^4*b*c*d^6*e^(-b*x - a) + 60*b^4*c^3*d^4*x*e^(-b*x - a) - 108*a*b^3*c^2*d^5*x*e^(-b*x - a) + 36*a^2*b^2*c*d^6*x*e^(-b*x - a) + 12*a^3*b*d^7*x*e^(-b*x - a) + 18*b^3*c*d^6*x^2*e^(-b*x - a) + 24*b^4*c^4*d^3*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) - 24*a*b^3*c^3*d^4*Ei(-(b*d*x + b*c)/d)*e^(-a + b*c/d) + 26*b^4*c^4*d^3*e^(-b*x - a) - 44*a*b^3*c^3*d^4*e^(-b*x - a) + 12*a^2*b^2*c^2*d^5*e^(-b*x - a) + 4*a^3*b*c*d^6*e^(-b*x - a) + 2*a^4*d^7*e^(-b*x - a) + 18*b^3*c^2*d^5*x*e^(-b*x - a) + 6*b^3*c^3*d^4*e^(-b*x - a))/(d^11*x^3 + 3*c*d^10*x^2 + 3*c^2*d^9*x + c^3*d^8)","B",0
82,-1,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a)^4/(d*x+c)^5,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*x^m*log(d*x)^n*(e+e*n+e*(1+m+b*c*x*log(F))*log(d*x)),x, algorithm=""giac"")","\int {\left({\left(b c x \log\left(F\right) + m + 1\right)} e \log\left(d x\right) + e n + e\right)} F^{{\left(b x + a\right)} c} x^{m} \log\left(d x\right)^{n}\,{d x}"," ",0,"integrate(((b*c*x*log(F) + m + 1)*e*log(d*x) + e*n + e)*F^((b*x + a)*c)*x^m*log(d*x)^n, x)","F",0
84,-2,0,0,0.000000," ","integrate(F^(c*(b*x+a))*x^2*log(d*x)^n*(e+e*n+e*(3+b*c*x*log(F))*log(d*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, infinity is unsigned, perhaps you meant +infinityWarning, infinity is unsigned, perhaps you meant +infinityUnable to divide, perhaps due to rounding error%%%{1,[0,2,0,0,0,2,1]%%%}+%%%{2,[0,2,0,0,0,1,1]%%%}+%%%{1,[0,2,0,0,0,0,1]%%%} / %%%{1,[0,3,0,0,0,2,0]%%%}+%%%{2,[0,3,0,0,0,1,0]%%%}+%%%{1,[0,3,0,0,0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
85,-2,0,0,0.000000," ","integrate(F^(c*(b*x+a))*x*log(d*x)^n*(e+e*n+e*(2+b*c*x*log(F))*log(d*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, infinity is unsigned, perhaps you meant +infinityWarning, infinity is unsigned, perhaps you meant +infinityUnable to divide, perhaps due to rounding error%%%{1,[0,2,0,0,0,2,1]%%%}+%%%{2,[0,2,0,0,0,1,1]%%%}+%%%{1,[0,2,0,0,0,0,1]%%%} / %%%{1,[0,3,0,0,0,2,0]%%%}+%%%{2,[0,3,0,0,0,1,0]%%%}+%%%{1,[0,3,0,0,0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
86,-2,0,0,0.000000," ","integrate(F^(c*(b*x+a))*log(d*x)^n*(e+e*n+e*(1+b*c*x*log(F))*log(d*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, infinity is unsigned, perhaps you meant +infinityWarning, infinity is unsigned, perhaps you meant +infinityUnable to divide, perhaps due to rounding error%%%{1,[0,2,0,0,0,2,1]%%%}+%%%{2,[0,2,0,0,0,1,1]%%%}+%%%{1,[0,2,0,0,0,0,1]%%%} / %%%{1,[0,3,0,0,0,2,0]%%%}+%%%{2,[0,3,0,0,0,1,0]%%%}+%%%{1,[0,3,0,0,0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
87,-2,0,0,0.000000," ","integrate(F^(c*(b*x+a))*log(d*x)^n*(e+e*n+b*c*e*x*log(F)*log(d*x))/x,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, infinity is unsigned, perhaps you meant +infinityWarning, infinity is unsigned, perhaps you meant +infinityUnable to divide, perhaps due to rounding error%%%{1,[0,2,0,0,0,2,1]%%%}+%%%{2,[0,2,0,0,0,1,1]%%%}+%%%{1,[0,2,0,0,0,0,1]%%%} / %%%{1,[0,3,0,0,0,2,0]%%%}+%%%{2,[0,3,0,0,0,1,0]%%%}+%%%{1,[0,3,0,0,0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
88,-2,0,0,0.000000," ","integrate(F^(c*(b*x+a))*log(d*x)^n*(e+e*n+e*(-1+b*c*x*log(F))*log(d*x))/x^2,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, infinity is unsigned, perhaps you meant +infinityWarning, infinity is unsigned, perhaps you meant +infinityUnable to divide, perhaps due to rounding error%%%{1,[0,2,0,0,0,2,1]%%%}+%%%{2,[0,2,0,0,0,1,1]%%%}+%%%{1,[0,2,0,0,0,0,1]%%%} / %%%{1,[0,3,0,0,0,2,0]%%%}+%%%{2,[0,3,0,0,0,1,0]%%%}+%%%{1,[0,3,0,0,0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
89,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*log(d*x)^n*(e+e*n+e*(-2+b*c*x*log(F))*log(d*x))/x^3,x, algorithm=""giac"")","\int \frac{{\left({\left(b c x \log\left(F\right) - 2\right)} e \log\left(d x\right) + e n + e\right)} F^{{\left(b x + a\right)} c} \log\left(d x\right)^{n}}{x^{3}}\,{d x}"," ",0,"integrate(((b*c*x*log(F) - 2)*e*log(d*x) + e*n + e)*F^((b*x + a)*c)*log(d*x)^n/x^3, x)","F",0
90,1,43,0,0.338408," ","integrate(x^4*exp(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{4} x^{4} - 8 \, b^{3} x^{3} + 48 \, b^{2} x^{2} - 192 \, b x + 384\right)} e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}}{b^{5}}"," ",0,"2*(b^4*x^4 - 8*b^3*x^3 + 48*b^2*x^2 - 192*b*x + 384)*e^(1/2*b*x + 1/2*a)/b^5","A",0
91,1,35,0,0.291170," ","integrate(x^3*exp(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{3} x^{3} - 6 \, b^{2} x^{2} + 24 \, b x - 48\right)} e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}}{b^{4}}"," ",0,"2*(b^3*x^3 - 6*b^2*x^2 + 24*b*x - 48)*e^(1/2*b*x + 1/2*a)/b^4","A",0
92,1,27,0,0.349946," ","integrate(x^2*exp(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(b^{2} x^{2} - 4 \, b x + 8\right)} e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}}{b^{3}}"," ",0,"2*(b^2*x^2 - 4*b*x + 8)*e^(1/2*b*x + 1/2*a)/b^3","A",0
93,1,19,0,0.447585," ","integrate(x*exp(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(b x - 2\right)} e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}}{b^{2}}"," ",0,"2*(b*x - 2)*e^(1/2*b*x + 1/2*a)/b^2","A",0
94,1,14,0,0.316974," ","integrate(exp(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}}{b}"," ",0,"2*e^(1/2*b*x + 1/2*a)/b","A",0
95,1,10,0,0.357505," ","integrate(exp(b*x+a)^(1/2)/x,x, algorithm=""giac"")","{\rm Ei}\left(\frac{1}{2} \, b x\right) e^{\left(\frac{1}{2} \, a\right)}"," ",0,"Ei(1/2*b*x)*e^(1/2*a)","A",0
96,1,29,0,0.407328," ","integrate(exp(b*x+a)^(1/2)/x^2,x, algorithm=""giac"")","\frac{b x {\rm Ei}\left(\frac{1}{2} \, b x\right) e^{\left(\frac{1}{2} \, a\right)} - 2 \, e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}}{2 \, x}"," ",0,"1/2*(b*x*Ei(1/2*b*x)*e^(1/2*a) - 2*e^(1/2*b*x + 1/2*a))/x","A",0
97,1,46,0,0.355732," ","integrate(exp(b*x+a)^(1/2)/x^3,x, algorithm=""giac"")","\frac{b^{2} x^{2} {\rm Ei}\left(\frac{1}{2} \, b x\right) e^{\left(\frac{1}{2} \, a\right)} - 2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - 4 \, e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}}{8 \, x^{2}}"," ",0,"1/8*(b^2*x^2*Ei(1/2*b*x)*e^(1/2*a) - 2*b*x*e^(1/2*b*x + 1/2*a) - 4*e^(1/2*b*x + 1/2*a))/x^2","A",0
98,1,63,0,0.355899," ","integrate(exp(b*x+a)^(1/2)/x^4,x, algorithm=""giac"")","\frac{b^{3} x^{3} {\rm Ei}\left(\frac{1}{2} \, b x\right) e^{\left(\frac{1}{2} \, a\right)} - 2 \, b^{2} x^{2} e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - 4 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - 16 \, e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}}{48 \, x^{3}}"," ",0,"1/48*(b^3*x^3*Ei(1/2*b*x)*e^(1/2*a) - 2*b^2*x^2*e^(1/2*b*x + 1/2*a) - 4*b*x*e^(1/2*b*x + 1/2*a) - 16*e^(1/2*b*x + 1/2*a))/x^3","A",0
