1,0,0,0,0.000000," ","integrate(x^3/(a+b*exp(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{3}}{b e^{\left(d x + c\right)} + a}\,{d x}"," ",0,"integrate(x^3/(b*e^(d*x + c) + a), x)","F",0
2,0,0,0,0.000000," ","integrate(x^2/(a+b*exp(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{2}}{b e^{\left(d x + c\right)} + a}\,{d x}"," ",0,"integrate(x^2/(b*e^(d*x + c) + a), x)","F",0
3,0,0,0,0.000000," ","integrate(x/(a+b*exp(d*x+c)),x, algorithm=""giac"")","\int \frac{x}{b e^{\left(d x + c\right)} + a}\,{d x}"," ",0,"integrate(x/(b*e^(d*x + c) + a), x)","F",0
4,1,31,0,0.330301," ","integrate(1/(a+b*exp(d*x+c)),x, algorithm=""giac"")","\frac{\frac{d x + c}{a} - \frac{\log\left({\left| b e^{\left(d x + c\right)} + a \right|}\right)}{a}}{d}"," ",0,"((d*x + c)/a - log(abs(b*e^(d*x + c) + a))/a)/d","A",0
5,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))/x,x, algorithm=""giac"")","\int \frac{1}{{\left(b e^{\left(d x + c\right)} + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*e^(d*x + c) + a)*x), x)","F",0
6,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))/x^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b e^{\left(d x + c\right)} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*e^(d*x + c) + a)*x^2), x)","F",0
7,1,33,0,0.337106," ","integrate(1/(a+b*exp(-d*x+c)),x, algorithm=""giac"")","\frac{\frac{d x - c}{a} + \frac{\log\left({\left| b e^{\left(-d x + c\right)} + a \right|}\right)}{a}}{d}"," ",0,"((d*x - c)/a + log(abs(b*e^(-d*x + c) + a))/a)/d","A",0
8,1,33,0,0.378037," ","integrate(1/(a+b*exp(-d*x-c)),x, algorithm=""giac"")","\frac{\frac{d x + c}{a} + \frac{\log\left({\left| b e^{\left(-d x - c\right)} + a \right|}\right)}{a}}{d}"," ",0,"((d*x + c)/a + log(abs(b*e^(-d*x - c) + a))/a)/d","A",0
9,0,0,0,0.000000," ","integrate(x^3/(a+b*exp(d*x+c))^2,x, algorithm=""giac"")","\int \frac{x^{3}}{{\left(b e^{\left(d x + c\right)} + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^3/(b*e^(d*x + c) + a)^2, x)","F",0
10,0,0,0,0.000000," ","integrate(x^2/(a+b*exp(d*x+c))^2,x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b e^{\left(d x + c\right)} + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^2/(b*e^(d*x + c) + a)^2, x)","F",0
11,0,0,0,0.000000," ","integrate(x/(a+b*exp(d*x+c))^2,x, algorithm=""giac"")","\int \frac{x}{{\left(b e^{\left(d x + c\right)} + a\right)}^{2}}\,{d x}"," ",0,"integrate(x/(b*e^(d*x + c) + a)^2, x)","F",0
12,1,51,0,0.440495," ","integrate(1/(a+b*exp(d*x+c))^2,x, algorithm=""giac"")","\frac{b {\left(\frac{\log\left({\left| -\frac{a}{b e^{\left(d x + c\right)} + a} + 1 \right|}\right)}{a^{2} b} + \frac{1}{{\left(b e^{\left(d x + c\right)} + a\right)} a b}\right)}}{d}"," ",0,"b*(log(abs(-a/(b*e^(d*x + c) + a) + 1))/(a^2*b) + 1/((b*e^(d*x + c) + a)*a*b))/d","A",0
13,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))^2/x,x, algorithm=""giac"")","\int \frac{1}{{\left(b e^{\left(d x + c\right)} + a\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((b*e^(d*x + c) + a)^2*x), x)","F",0
14,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))^2/x^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b e^{\left(d x + c\right)} + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((b*e^(d*x + c) + a)^2*x^2), x)","F",0
15,1,54,0,0.239464," ","integrate(1/(a+b*exp(-d*x+c))^2,x, algorithm=""giac"")","-\frac{b {\left(\frac{\log\left({\left| -\frac{a}{b e^{\left(-d x + c\right)} + a} + 1 \right|}\right)}{a^{2} b} + \frac{1}{{\left(b e^{\left(-d x + c\right)} + a\right)} a b}\right)}}{d}"," ",0,"-b*(log(abs(-a/(b*e^(-d*x + c) + a) + 1))/(a^2*b) + 1/((b*e^(-d*x + c) + a)*a*b))/d","A",0
16,1,58,0,0.224777," ","integrate(1/(a+b*exp(-d*x-c))^2,x, algorithm=""giac"")","-\frac{b {\left(\frac{\log\left({\left| -\frac{a}{b e^{\left(-d x - c\right)} + a} + 1 \right|}\right)}{a^{2} b} + \frac{1}{{\left(b e^{\left(-d x - c\right)} + a\right)} a b}\right)}}{d}"," ",0,"-b*(log(abs(-a/(b*e^(-d*x - c) + a) + 1))/(a^2*b) + 1/((b*e^(-d*x - c) + a)*a*b))/d","A",0
17,0,0,0,0.000000," ","integrate(x^3/(a+b*exp(d*x+c))^3,x, algorithm=""giac"")","\int \frac{x^{3}}{{\left(b e^{\left(d x + c\right)} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^3/(b*e^(d*x + c) + a)^3, x)","F",0
18,0,0,0,0.000000," ","integrate(x^2/(a+b*exp(d*x+c))^3,x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b e^{\left(d x + c\right)} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^2/(b*e^(d*x + c) + a)^3, x)","F",0
19,0,0,0,0.000000," ","integrate(x/(a+b*exp(d*x+c))^3,x, algorithm=""giac"")","\int \frac{x}{{\left(b e^{\left(d x + c\right)} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x/(b*e^(d*x + c) + a)^3, x)","F",0
20,1,65,0,0.216771," ","integrate(1/(a+b*exp(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(d x + c\right)}}{a^{3}} - \frac{2 \, \log\left({\left| b e^{\left(d x + c\right)} + a \right|}\right)}{a^{3}} + \frac{2 \, a b e^{\left(d x + c\right)} + 3 \, a^{2}}{{\left(b e^{\left(d x + c\right)} + a\right)}^{2} a^{3}}}{2 \, d}"," ",0,"1/2*(2*(d*x + c)/a^3 - 2*log(abs(b*e^(d*x + c) + a))/a^3 + (2*a*b*e^(d*x + c) + 3*a^2)/((b*e^(d*x + c) + a)^2*a^3))/d","A",0
21,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))^3/x,x, algorithm=""giac"")","\int \frac{1}{{\left(b e^{\left(d x + c\right)} + a\right)}^{3} x}\,{d x}"," ",0,"integrate(1/((b*e^(d*x + c) + a)^3*x), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))^3/x^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b e^{\left(d x + c\right)} + a\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(1/((b*e^(d*x + c) + a)^3*x^2), x)","F",0
23,1,71,0,0.207043," ","integrate(1/(a+b*exp(-d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(d x - c\right)}}{a^{3}} + \frac{2 \, \log\left({\left| b e^{\left(-d x + c\right)} + a \right|}\right)}{a^{3}} - \frac{2 \, a b e^{\left(-d x + c\right)} + 3 \, a^{2}}{{\left(b e^{\left(-d x + c\right)} + a\right)}^{2} a^{3}}}{2 \, d}"," ",0,"1/2*(2*(d*x - c)/a^3 + 2*log(abs(b*e^(-d*x + c) + a))/a^3 - (2*a*b*e^(-d*x + c) + 3*a^2)/((b*e^(-d*x + c) + a)^2*a^3))/d","A",0
24,1,75,0,0.184578," ","integrate(1/(a+b*exp(-d*x-c))^3,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(d x + c\right)}}{a^{3}} + \frac{2 \, \log\left({\left| b e^{\left(-d x - c\right)} + a \right|}\right)}{a^{3}} - \frac{2 \, a b e^{\left(-d x - c\right)} + 3 \, a^{2}}{{\left(b e^{\left(-d x - c\right)} + a\right)}^{2} a^{3}}}{2 \, d}"," ",0,"1/2*(2*(d*x + c)/a^3 + 2*log(abs(b*e^(-d*x - c) + a))/a^3 - (2*a*b*e^(-d*x - c) + 3*a^2)/((b*e^(-d*x - c) + a)^2*a^3))/d","A",0
25,1,5732,0,0.575845," ","integrate((a+b*(F^(g*(f*x+e)))^n)*(d*x+c)^3,x, algorithm=""giac"")","\frac{1}{4} \, a d^{3} x^{4} + a c d^{2} x^{3} + \frac{3}{2} \, a c^{2} d x^{2} + a c^{3} x - {\left({\left(\frac{{\left(3 \, \pi^{2} b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right) + 2 \, b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{3} + 9 \, \pi^{2} b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 9 \, \pi^{2} b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right) + 6 \, b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{3} + 9 \, \pi^{2} b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 9 \, \pi^{2} b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right) + 6 \, b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{3} + 3 \, \pi^{2} b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b d^{3} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b d^{3} f^{2} g^{2} n^{2} x^{2} - 6 \, b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi^{2} b c d^{2} f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) + 6 \, \pi^{2} b c d^{2} f^{2} g^{2} n^{2} x - 12 \, b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} - 3 \, \pi^{2} b c^{2} d f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b c^{2} d f^{2} g^{2} n^{2} - 6 \, b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b d^{3} f g n x \log\left({\left| F \right|}\right) + 12 \, b c d^{2} f g n \log\left({\left| F \right|}\right) - 12 \, b d^{3}\right)} {\left(\pi^{4} f^{4} g^{4} n^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} f^{4} g^{4} n^{4} + 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} f^{4} g^{4} n^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} f^{4} g^{4} n^{4} + 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) + \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{4 \, {\left(\pi^{3} b d^{3} f^{3} g^{3} n^{3} x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b d^{3} f^{3} g^{3} n^{3} x^{3} + 3 \, \pi b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 3 \, \pi^{3} b c d^{2} f^{3} g^{3} n^{3} x^{2} \mathrm{sgn}\left(F\right) - 9 \, \pi b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 3 \, \pi^{3} b c d^{2} f^{3} g^{3} n^{3} x^{2} + 9 \, \pi b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{2} + 3 \, \pi^{3} b c^{2} d f^{3} g^{3} n^{3} x \mathrm{sgn}\left(F\right) - 9 \, \pi b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 3 \, \pi^{3} b c^{2} d f^{3} g^{3} n^{3} x + 9 \, \pi b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{2} + \pi^{3} b c^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b c^{3} f^{3} g^{3} n^{3} + 3 \, \pi b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 12 \, \pi b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 \, \pi b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 6 \, \pi b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b d^{3} f g n x \mathrm{sgn}\left(F\right) + 6 \, \pi b d^{3} f g n x - 6 \, \pi b c d^{2} f g n \mathrm{sgn}\left(F\right) + 6 \, \pi b c d^{2} f g n\right)} {\left(\pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) + \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} f^{4} g^{4} n^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} f^{4} g^{4} n^{4} + 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) + \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right) - {\left(\frac{{\left(\pi^{3} b d^{3} f^{3} g^{3} n^{3} x^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b d^{3} f^{3} g^{3} n^{3} x^{3} + 3 \, \pi b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 3 \, \pi^{3} b c d^{2} f^{3} g^{3} n^{3} x^{2} \mathrm{sgn}\left(F\right) - 9 \, \pi b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 3 \, \pi^{3} b c d^{2} f^{3} g^{3} n^{3} x^{2} + 9 \, \pi b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{2} + 3 \, \pi^{3} b c^{2} d f^{3} g^{3} n^{3} x \mathrm{sgn}\left(F\right) - 9 \, \pi b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 3 \, \pi^{3} b c^{2} d f^{3} g^{3} n^{3} x + 9 \, \pi b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{2} + \pi^{3} b c^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b c^{3} f^{3} g^{3} n^{3} + 3 \, \pi b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 12 \, \pi b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 \, \pi b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 6 \, \pi b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - 6 \, \pi b d^{3} f g n x \mathrm{sgn}\left(F\right) + 6 \, \pi b d^{3} f g n x - 6 \, \pi b c d^{2} f g n \mathrm{sgn}\left(F\right) + 6 \, \pi b c d^{2} f g n\right)} {\left(\pi^{4} f^{4} g^{4} n^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} f^{4} g^{4} n^{4} + 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{4}\right)}}{{\left(\pi^{4} f^{4} g^{4} n^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} f^{4} g^{4} n^{4} + 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) + \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{4 \, {\left(3 \, \pi^{2} b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right) + 2 \, b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{3} + 9 \, \pi^{2} b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 9 \, \pi^{2} b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right) + 6 \, b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{3} + 9 \, \pi^{2} b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 9 \, \pi^{2} b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right) + 6 \, b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{3} + 3 \, \pi^{2} b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3} - 3 \, \pi^{2} b d^{3} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b d^{3} f^{2} g^{2} n^{2} x^{2} - 6 \, b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi^{2} b c d^{2} f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) + 6 \, \pi^{2} b c d^{2} f^{2} g^{2} n^{2} x - 12 \, b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} - 3 \, \pi^{2} b c^{2} d f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b c^{2} d f^{2} g^{2} n^{2} - 6 \, b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} + 12 \, b d^{3} f g n x \log\left({\left| F \right|}\right) + 12 \, b c d^{2} f g n \log\left({\left| F \right|}\right) - 12 \, b d^{3}\right)} {\left(\pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) + \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{4} f^{4} g^{4} n^{4} \mathrm{sgn}\left(F\right) - 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{4} f^{4} g^{4} n^{4} + 6 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} - 2 \, f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{4}\right)}^{2} + 16 \, {\left(\pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - \pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) + \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right)\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{{\left(8 \, \pi^{3} b d^{3} f^{3} g^{3} n^{3} x^{3} \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b d^{3} f^{3} g^{3} n^{3} x^{3} - 24 i \, \pi^{2} b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{2} + 16 i \, b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{3} + 24 \, \pi^{3} b c d^{2} f^{3} g^{3} n^{3} x^{2} \mathrm{sgn}\left(F\right) + 72 i \, \pi^{2} b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 72 \, \pi b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 24 \, \pi^{3} b c d^{2} f^{3} g^{3} n^{3} x^{2} - 72 i \, \pi^{2} b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right) + 72 \, \pi b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{2} + 48 i \, b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{3} + 24 \, \pi^{3} b c^{2} d f^{3} g^{3} n^{3} x \mathrm{sgn}\left(F\right) + 72 i \, \pi^{2} b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 72 \, \pi b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 24 \, \pi^{3} b c^{2} d f^{3} g^{3} n^{3} x - 72 i \, \pi^{2} b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right) + 72 \, \pi b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{2} + 48 i \, b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{3} + 8 \, \pi^{3} b c^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b c^{3} f^{3} g^{3} n^{3} - 24 i \, \pi^{2} b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 16 i \, b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3} - 24 i \, \pi^{2} b d^{3} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b d^{3} f^{2} g^{2} n^{2} x^{2} - 48 \, \pi b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) - 48 i \, b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 i \, \pi^{2} b c d^{2} f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) + 96 \, \pi b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 48 i \, \pi^{2} b c d^{2} f^{2} g^{2} n^{2} x - 96 \, \pi b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) - 96 i \, b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} - 24 i \, \pi^{2} b c^{2} d f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 24 i \, \pi^{2} b c^{2} d f^{2} g^{2} n^{2} - 48 \, \pi b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - 48 i \, b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b d^{3} f g n x \mathrm{sgn}\left(F\right) + 48 \, \pi b d^{3} f g n x + 96 i \, b d^{3} f g n x \log\left({\left| F \right|}\right) - 48 \, \pi b c d^{2} f g n \mathrm{sgn}\left(F\right) + 48 \, \pi b c d^{2} f g n + 96 i \, b c d^{2} f g n \log\left({\left| F \right|}\right) - 96 i \, b d^{3}\right)} e^{\left(\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi f g n x + \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi g n e\right)}}{8 \, \pi^{4} f^{4} g^{4} n^{4} \mathrm{sgn}\left(F\right) + 32 i \, \pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 32 i \, \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} f^{4} g^{4} n^{4} - 32 i \, \pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} + 32 i \, \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{4}} + \frac{{\left(8 \, \pi^{3} b d^{3} f^{3} g^{3} n^{3} x^{3} \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b d^{3} f^{3} g^{3} n^{3} x^{3} + 24 i \, \pi^{2} b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{2} - 16 i \, b d^{3} f^{3} g^{3} n^{3} x^{3} \log\left({\left| F \right|}\right)^{3} + 24 \, \pi^{3} b c d^{2} f^{3} g^{3} n^{3} x^{2} \mathrm{sgn}\left(F\right) - 72 i \, \pi^{2} b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 72 \, \pi b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 24 \, \pi^{3} b c d^{2} f^{3} g^{3} n^{3} x^{2} + 72 i \, \pi^{2} b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right) + 72 \, \pi b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{2} - 48 i \, b c d^{2} f^{3} g^{3} n^{3} x^{2} \log\left({\left| F \right|}\right)^{3} + 24 \, \pi^{3} b c^{2} d f^{3} g^{3} n^{3} x \mathrm{sgn}\left(F\right) - 72 i \, \pi^{2} b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 72 \, \pi b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 24 \, \pi^{3} b c^{2} d f^{3} g^{3} n^{3} x + 72 i \, \pi^{2} b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right) + 72 \, \pi b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{2} - 48 i \, b c^{2} d f^{3} g^{3} n^{3} x \log\left({\left| F \right|}\right)^{3} + 8 \, \pi^{3} b c^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 \, \pi b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi^{3} b c^{3} f^{3} g^{3} n^{3} + 24 i \, \pi^{2} b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 24 \, \pi b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} - 16 i \, b c^{3} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3} + 24 i \, \pi^{2} b d^{3} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b d^{3} f^{2} g^{2} n^{2} x^{2} - 48 \, \pi b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 48 i \, b d^{3} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 48 i \, \pi^{2} b c d^{2} f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) + 96 \, \pi b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 i \, \pi^{2} b c d^{2} f^{2} g^{2} n^{2} x - 96 \, \pi b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 96 i \, b c d^{2} f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 24 i \, \pi^{2} b c^{2} d f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 48 \, \pi b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} b c^{2} d f^{2} g^{2} n^{2} - 48 \, \pi b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 48 i \, b c^{2} d f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 48 \, \pi b d^{3} f g n x \mathrm{sgn}\left(F\right) + 48 \, \pi b d^{3} f g n x - 96 i \, b d^{3} f g n x \log\left({\left| F \right|}\right) - 48 \, \pi b c d^{2} f g n \mathrm{sgn}\left(F\right) + 48 \, \pi b c d^{2} f g n - 96 i \, b c d^{2} f g n \log\left({\left| F \right|}\right) + 96 i \, b d^{3}\right)} e^{\left(-\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi f g n x - \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi g n e\right)}}{8 \, \pi^{4} f^{4} g^{4} n^{4} \mathrm{sgn}\left(F\right) - 32 i \, \pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 48 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 32 i \, \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3} \mathrm{sgn}\left(F\right) - 8 \, \pi^{4} f^{4} g^{4} n^{4} + 32 i \, \pi^{3} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right) + 48 \, \pi^{2} f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{2} - 32 i \, \pi f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{3} - 16 \, f^{4} g^{4} n^{4} \log\left({\left| F \right|}\right)^{4}}\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)}"," ",0,"1/4*a*d^3*x^4 + a*c*d^2*x^3 + 3/2*a*c^2*d*x^2 + a*c^3*x - (((3*pi^2*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))*sgn(F) - 3*pi^2*b*d^3*f^3*g^3*n^3*x^3*log(abs(F)) + 2*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^3 + 9*pi^2*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))*sgn(F) - 9*pi^2*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F)) + 6*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^3 + 9*pi^2*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))*sgn(F) - 9*pi^2*b*c^2*d*f^3*g^3*n^3*x*log(abs(F)) + 6*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^3 + 3*pi^2*b*c^3*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*b*c^3*f^3*g^3*n^3*log(abs(F)) + 2*b*c^3*f^3*g^3*n^3*log(abs(F))^3 - 3*pi^2*b*d^3*f^2*g^2*n^2*x^2*sgn(F) + 3*pi^2*b*d^3*f^2*g^2*n^2*x^2 - 6*b*d^3*f^2*g^2*n^2*x^2*log(abs(F))^2 - 6*pi^2*b*c*d^2*f^2*g^2*n^2*x*sgn(F) + 6*pi^2*b*c*d^2*f^2*g^2*n^2*x - 12*b*c*d^2*f^2*g^2*n^2*x*log(abs(F))^2 - 3*pi^2*b*c^2*d*f^2*g^2*n^2*sgn(F) + 3*pi^2*b*c^2*d*f^2*g^2*n^2 - 6*b*c^2*d*f^2*g^2*n^2*log(abs(F))^2 + 12*b*d^3*f*g*n*x*log(abs(F)) + 12*b*c*d^2*f*g*n*log(abs(F)) - 12*b*d^3)*(pi^4*f^4*g^4*n^4*sgn(F) - 6*pi^2*f^4*g^4*n^4*log(abs(F))^2*sgn(F) - pi^4*f^4*g^4*n^4 + 6*pi^2*f^4*g^4*n^4*log(abs(F))^2 - 2*f^4*g^4*n^4*log(abs(F))^4)/((pi^4*f^4*g^4*n^4*sgn(F) - 6*pi^2*f^4*g^4*n^4*log(abs(F))^2*sgn(F) - pi^4*f^4*g^4*n^4 + 6*pi^2*f^4*g^4*n^4*log(abs(F))^2 - 2*f^4*g^4*n^4*log(abs(F))^4)^2 + 16*(pi^3*f^4*g^4*n^4*log(abs(F))*sgn(F) - pi*f^4*g^4*n^4*log(abs(F))^3*sgn(F) - pi^3*f^4*g^4*n^4*log(abs(F)) + pi*f^4*g^4*n^4*log(abs(F))^3)^2) - 4*(pi^3*b*d^3*f^3*g^3*n^3*x^3*sgn(F) - 3*pi*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^2*sgn(F) - pi^3*b*d^3*f^3*g^3*n^3*x^3 + 3*pi*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^2 + 3*pi^3*b*c*d^2*f^3*g^3*n^3*x^2*sgn(F) - 9*pi*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^2*sgn(F) - 3*pi^3*b*c*d^2*f^3*g^3*n^3*x^2 + 9*pi*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^2 + 3*pi^3*b*c^2*d*f^3*g^3*n^3*x*sgn(F) - 9*pi*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^2*sgn(F) - 3*pi^3*b*c^2*d*f^3*g^3*n^3*x + 9*pi*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^2 + pi^3*b*c^3*f^3*g^3*n^3*sgn(F) - 3*pi*b*c^3*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*b*c^3*f^3*g^3*n^3 + 3*pi*b*c^3*f^3*g^3*n^3*log(abs(F))^2 + 6*pi*b*d^3*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 6*pi*b*d^3*f^2*g^2*n^2*x^2*log(abs(F)) + 12*pi*b*c*d^2*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 12*pi*b*c*d^2*f^2*g^2*n^2*x*log(abs(F)) + 6*pi*b*c^2*d*f^2*g^2*n^2*log(abs(F))*sgn(F) - 6*pi*b*c^2*d*f^2*g^2*n^2*log(abs(F)) - 6*pi*b*d^3*f*g*n*x*sgn(F) + 6*pi*b*d^3*f*g*n*x - 6*pi*b*c*d^2*f*g*n*sgn(F) + 6*pi*b*c*d^2*f*g*n)*(pi^3*f^4*g^4*n^4*log(abs(F))*sgn(F) - pi*f^4*g^4*n^4*log(abs(F))^3*sgn(F) - pi^3*f^4*g^4*n^4*log(abs(F)) + pi*f^4*g^4*n^4*log(abs(F))^3)/((pi^4*f^4*g^4*n^4*sgn(F) - 6*pi^2*f^4*g^4*n^4*log(abs(F))^2*sgn(F) - pi^4*f^4*g^4*n^4 + 6*pi^2*f^4*g^4*n^4*log(abs(F))^2 - 2*f^4*g^4*n^4*log(abs(F))^4)^2 + 16*(pi^3*f^4*g^4*n^4*log(abs(F))*sgn(F) - pi*f^4*g^4*n^4*log(abs(F))^3*sgn(F) - pi^3*f^4*g^4*n^4*log(abs(F)) + pi*f^4*g^4*n^4*log(abs(F))^3)^2))*cos(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e) - ((pi^3*b*d^3*f^3*g^3*n^3*x^3*sgn(F) - 3*pi*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^2*sgn(F) - pi^3*b*d^3*f^3*g^3*n^3*x^3 + 3*pi*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^2 + 3*pi^3*b*c*d^2*f^3*g^3*n^3*x^2*sgn(F) - 9*pi*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^2*sgn(F) - 3*pi^3*b*c*d^2*f^3*g^3*n^3*x^2 + 9*pi*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^2 + 3*pi^3*b*c^2*d*f^3*g^3*n^3*x*sgn(F) - 9*pi*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^2*sgn(F) - 3*pi^3*b*c^2*d*f^3*g^3*n^3*x + 9*pi*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^2 + pi^3*b*c^3*f^3*g^3*n^3*sgn(F) - 3*pi*b*c^3*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*b*c^3*f^3*g^3*n^3 + 3*pi*b*c^3*f^3*g^3*n^3*log(abs(F))^2 + 6*pi*b*d^3*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 6*pi*b*d^3*f^2*g^2*n^2*x^2*log(abs(F)) + 12*pi*b*c*d^2*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 12*pi*b*c*d^2*f^2*g^2*n^2*x*log(abs(F)) + 6*pi*b*c^2*d*f^2*g^2*n^2*log(abs(F))*sgn(F) - 6*pi*b*c^2*d*f^2*g^2*n^2*log(abs(F)) - 6*pi*b*d^3*f*g*n*x*sgn(F) + 6*pi*b*d^3*f*g*n*x - 6*pi*b*c*d^2*f*g*n*sgn(F) + 6*pi*b*c*d^2*f*g*n)*(pi^4*f^4*g^4*n^4*sgn(F) - 6*pi^2*f^4*g^4*n^4*log(abs(F))^2*sgn(F) - pi^4*f^4*g^4*n^4 + 6*pi^2*f^4*g^4*n^4*log(abs(F))^2 - 2*f^4*g^4*n^4*log(abs(F))^4)/((pi^4*f^4*g^4*n^4*sgn(F) - 6*pi^2*f^4*g^4*n^4*log(abs(F))^2*sgn(F) - pi^4*f^4*g^4*n^4 + 6*pi^2*f^4*g^4*n^4*log(abs(F))^2 - 2*f^4*g^4*n^4*log(abs(F))^4)^2 + 16*(pi^3*f^4*g^4*n^4*log(abs(F))*sgn(F) - pi*f^4*g^4*n^4*log(abs(F))^3*sgn(F) - pi^3*f^4*g^4*n^4*log(abs(F)) + pi*f^4*g^4*n^4*log(abs(F))^3)^2) + 4*(3*pi^2*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))*sgn(F) - 3*pi^2*b*d^3*f^3*g^3*n^3*x^3*log(abs(F)) + 2*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^3 + 9*pi^2*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))*sgn(F) - 9*pi^2*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F)) + 6*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^3 + 9*pi^2*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))*sgn(F) - 9*pi^2*b*c^2*d*f^3*g^3*n^3*x*log(abs(F)) + 6*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^3 + 3*pi^2*b*c^3*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*b*c^3*f^3*g^3*n^3*log(abs(F)) + 2*b*c^3*f^3*g^3*n^3*log(abs(F))^3 - 3*pi^2*b*d^3*f^2*g^2*n^2*x^2*sgn(F) + 3*pi^2*b*d^3*f^2*g^2*n^2*x^2 - 6*b*d^3*f^2*g^2*n^2*x^2*log(abs(F))^2 - 6*pi^2*b*c*d^2*f^2*g^2*n^2*x*sgn(F) + 6*pi^2*b*c*d^2*f^2*g^2*n^2*x - 12*b*c*d^2*f^2*g^2*n^2*x*log(abs(F))^2 - 3*pi^2*b*c^2*d*f^2*g^2*n^2*sgn(F) + 3*pi^2*b*c^2*d*f^2*g^2*n^2 - 6*b*c^2*d*f^2*g^2*n^2*log(abs(F))^2 + 12*b*d^3*f*g*n*x*log(abs(F)) + 12*b*c*d^2*f*g*n*log(abs(F)) - 12*b*d^3)*(pi^3*f^4*g^4*n^4*log(abs(F))*sgn(F) - pi*f^4*g^4*n^4*log(abs(F))^3*sgn(F) - pi^3*f^4*g^4*n^4*log(abs(F)) + pi*f^4*g^4*n^4*log(abs(F))^3)/((pi^4*f^4*g^4*n^4*sgn(F) - 6*pi^2*f^4*g^4*n^4*log(abs(F))^2*sgn(F) - pi^4*f^4*g^4*n^4 + 6*pi^2*f^4*g^4*n^4*log(abs(F))^2 - 2*f^4*g^4*n^4*log(abs(F))^4)^2 + 16*(pi^3*f^4*g^4*n^4*log(abs(F))*sgn(F) - pi*f^4*g^4*n^4*log(abs(F))^3*sgn(F) - pi^3*f^4*g^4*n^4*log(abs(F)) + pi*f^4*g^4*n^4*log(abs(F))^3)^2))*sin(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F))) - 1/2*I*((8*pi^3*b*d^3*f^3*g^3*n^3*x^3*sgn(F) + 24*I*pi^2*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))*sgn(F) - 24*pi*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b*d^3*f^3*g^3*n^3*x^3 - 24*I*pi^2*b*d^3*f^3*g^3*n^3*x^3*log(abs(F)) + 24*pi*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^2 + 16*I*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^3 + 24*pi^3*b*c*d^2*f^3*g^3*n^3*x^2*sgn(F) + 72*I*pi^2*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))*sgn(F) - 72*pi*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^2*sgn(F) - 24*pi^3*b*c*d^2*f^3*g^3*n^3*x^2 - 72*I*pi^2*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F)) + 72*pi*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^2 + 48*I*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^3 + 24*pi^3*b*c^2*d*f^3*g^3*n^3*x*sgn(F) + 72*I*pi^2*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))*sgn(F) - 72*pi*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^2*sgn(F) - 24*pi^3*b*c^2*d*f^3*g^3*n^3*x - 72*I*pi^2*b*c^2*d*f^3*g^3*n^3*x*log(abs(F)) + 72*pi*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^2 + 48*I*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^3 + 8*pi^3*b*c^3*f^3*g^3*n^3*sgn(F) + 24*I*pi^2*b*c^3*f^3*g^3*n^3*log(abs(F))*sgn(F) - 24*pi*b*c^3*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - 8*pi^3*b*c^3*f^3*g^3*n^3 - 24*I*pi^2*b*c^3*f^3*g^3*n^3*log(abs(F)) + 24*pi*b*c^3*f^3*g^3*n^3*log(abs(F))^2 + 16*I*b*c^3*f^3*g^3*n^3*log(abs(F))^3 - 24*I*pi^2*b*d^3*f^2*g^2*n^2*x^2*sgn(F) + 48*pi*b*d^3*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) + 24*I*pi^2*b*d^3*f^2*g^2*n^2*x^2 - 48*pi*b*d^3*f^2*g^2*n^2*x^2*log(abs(F)) - 48*I*b*d^3*f^2*g^2*n^2*x^2*log(abs(F))^2 - 48*I*pi^2*b*c*d^2*f^2*g^2*n^2*x*sgn(F) + 96*pi*b*c*d^2*f^2*g^2*n^2*x*log(abs(F))*sgn(F) + 48*I*pi^2*b*c*d^2*f^2*g^2*n^2*x - 96*pi*b*c*d^2*f^2*g^2*n^2*x*log(abs(F)) - 96*I*b*c*d^2*f^2*g^2*n^2*x*log(abs(F))^2 - 24*I*pi^2*b*c^2*d*f^2*g^2*n^2*sgn(F) + 48*pi*b*c^2*d*f^2*g^2*n^2*log(abs(F))*sgn(F) + 24*I*pi^2*b*c^2*d*f^2*g^2*n^2 - 48*pi*b*c^2*d*f^2*g^2*n^2*log(abs(F)) - 48*I*b*c^2*d*f^2*g^2*n^2*log(abs(F))^2 - 48*pi*b*d^3*f*g*n*x*sgn(F) + 48*pi*b*d^3*f*g*n*x + 96*I*b*d^3*f*g*n*x*log(abs(F)) - 48*pi*b*c*d^2*f*g*n*sgn(F) + 48*pi*b*c*d^2*f*g*n + 96*I*b*c*d^2*f*g*n*log(abs(F)) - 96*I*b*d^3)*e^(1/2*I*pi*f*g*n*x*sgn(F) - 1/2*I*pi*f*g*n*x + 1/2*I*pi*g*n*e*sgn(F) - 1/2*I*pi*g*n*e)/(8*pi^4*f^4*g^4*n^4*sgn(F) + 32*I*pi^3*f^4*g^4*n^4*log(abs(F))*sgn(F) - 48*pi^2*f^4*g^4*n^4*log(abs(F))^2*sgn(F) - 32*I*pi*f^4*g^4*n^4*log(abs(F))^3*sgn(F) - 8*pi^4*f^4*g^4*n^4 - 32*I*pi^3*f^4*g^4*n^4*log(abs(F)) + 48*pi^2*f^4*g^4*n^4*log(abs(F))^2 + 32*I*pi*f^4*g^4*n^4*log(abs(F))^3 - 16*f^4*g^4*n^4*log(abs(F))^4) + (8*pi^3*b*d^3*f^3*g^3*n^3*x^3*sgn(F) - 24*I*pi^2*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))*sgn(F) - 24*pi*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^2*sgn(F) - 8*pi^3*b*d^3*f^3*g^3*n^3*x^3 + 24*I*pi^2*b*d^3*f^3*g^3*n^3*x^3*log(abs(F)) + 24*pi*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^2 - 16*I*b*d^3*f^3*g^3*n^3*x^3*log(abs(F))^3 + 24*pi^3*b*c*d^2*f^3*g^3*n^3*x^2*sgn(F) - 72*I*pi^2*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))*sgn(F) - 72*pi*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^2*sgn(F) - 24*pi^3*b*c*d^2*f^3*g^3*n^3*x^2 + 72*I*pi^2*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F)) + 72*pi*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^2 - 48*I*b*c*d^2*f^3*g^3*n^3*x^2*log(abs(F))^3 + 24*pi^3*b*c^2*d*f^3*g^3*n^3*x*sgn(F) - 72*I*pi^2*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))*sgn(F) - 72*pi*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^2*sgn(F) - 24*pi^3*b*c^2*d*f^3*g^3*n^3*x + 72*I*pi^2*b*c^2*d*f^3*g^3*n^3*x*log(abs(F)) + 72*pi*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^2 - 48*I*b*c^2*d*f^3*g^3*n^3*x*log(abs(F))^3 + 8*pi^3*b*c^3*f^3*g^3*n^3*sgn(F) - 24*I*pi^2*b*c^3*f^3*g^3*n^3*log(abs(F))*sgn(F) - 24*pi*b*c^3*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - 8*pi^3*b*c^3*f^3*g^3*n^3 + 24*I*pi^2*b*c^3*f^3*g^3*n^3*log(abs(F)) + 24*pi*b*c^3*f^3*g^3*n^3*log(abs(F))^2 - 16*I*b*c^3*f^3*g^3*n^3*log(abs(F))^3 + 24*I*pi^2*b*d^3*f^2*g^2*n^2*x^2*sgn(F) + 48*pi*b*d^3*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 24*I*pi^2*b*d^3*f^2*g^2*n^2*x^2 - 48*pi*b*d^3*f^2*g^2*n^2*x^2*log(abs(F)) + 48*I*b*d^3*f^2*g^2*n^2*x^2*log(abs(F))^2 + 48*I*pi^2*b*c*d^2*f^2*g^2*n^2*x*sgn(F) + 96*pi*b*c*d^2*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 48*I*pi^2*b*c*d^2*f^2*g^2*n^2*x - 96*pi*b*c*d^2*f^2*g^2*n^2*x*log(abs(F)) + 96*I*b*c*d^2*f^2*g^2*n^2*x*log(abs(F))^2 + 24*I*pi^2*b*c^2*d*f^2*g^2*n^2*sgn(F) + 48*pi*b*c^2*d*f^2*g^2*n^2*log(abs(F))*sgn(F) - 24*I*pi^2*b*c^2*d*f^2*g^2*n^2 - 48*pi*b*c^2*d*f^2*g^2*n^2*log(abs(F)) + 48*I*b*c^2*d*f^2*g^2*n^2*log(abs(F))^2 - 48*pi*b*d^3*f*g*n*x*sgn(F) + 48*pi*b*d^3*f*g*n*x - 96*I*b*d^3*f*g*n*x*log(abs(F)) - 48*pi*b*c*d^2*f*g*n*sgn(F) + 48*pi*b*c*d^2*f*g*n - 96*I*b*c*d^2*f*g*n*log(abs(F)) + 96*I*b*d^3)*e^(-1/2*I*pi*f*g*n*x*sgn(F) + 1/2*I*pi*f*g*n*x - 1/2*I*pi*g*n*e*sgn(F) + 1/2*I*pi*g*n*e)/(8*pi^4*f^4*g^4*n^4*sgn(F) - 32*I*pi^3*f^4*g^4*n^4*log(abs(F))*sgn(F) - 48*pi^2*f^4*g^4*n^4*log(abs(F))^2*sgn(F) + 32*I*pi*f^4*g^4*n^4*log(abs(F))^3*sgn(F) - 8*pi^4*f^4*g^4*n^4 + 32*I*pi^3*f^4*g^4*n^4*log(abs(F)) + 48*pi^2*f^4*g^4*n^4*log(abs(F))^2 - 32*I*pi*f^4*g^4*n^4*log(abs(F))^3 - 16*f^4*g^4*n^4*log(abs(F))^4))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F)))","C",0
26,1,2726,0,0.442240," ","integrate((a+b*(F^(g*(f*x+e)))^n)*(d*x+c)^2,x, algorithm=""giac"")","\frac{1}{3} \, a d^{2} x^{3} + a c d x^{2} + a c^{2} x - {\left({\left(\frac{2 \, {\left(\pi b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 2 \, \pi b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + \pi b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi b d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi b d^{2} f g n x - \pi b c d f g n \mathrm{sgn}\left(F\right) + \pi b c d f g n\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} + 2 \, b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi^{2} b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b c d f^{2} g^{2} n^{2} x + 4 \, b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + \pi^{2} b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b c^{2} f^{2} g^{2} n^{2} + 2 \, b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b d^{2} f g n x \log\left({\left| F \right|}\right) - 4 \, b c d f g n \log\left({\left| F \right|}\right) + 4 \, b d^{2}\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right) - {\left(\frac{{\left(\pi^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} + 2 \, b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi^{2} b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b c d f^{2} g^{2} n^{2} x + 4 \, b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + \pi^{2} b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b c^{2} f^{2} g^{2} n^{2} + 2 \, b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, b d^{2} f g n x \log\left({\left| F \right|}\right) - 4 \, b c d f g n \log\left({\left| F \right|}\right) + 4 \, b d^{2}\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(\pi b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 2 \, \pi b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + \pi b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi b d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi b d^{2} f g n x - \pi b c d f g n \mathrm{sgn}\left(F\right) + \pi b c d f g n\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right)\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} i \, {\left(\frac{{\left(4 i \, \pi^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} + 8 \, \pi b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 8 i \, b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 8 i \, \pi^{2} b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 16 \, \pi b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 8 i \, \pi^{2} b c d f^{2} g^{2} n^{2} x + 16 \, \pi b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 16 i \, b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 4 i \, \pi^{2} b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 8 \, \pi b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b c^{2} f^{2} g^{2} n^{2} + 8 \, \pi b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 8 i \, b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} + 8 \, \pi b d^{2} f g n x \mathrm{sgn}\left(F\right) - 8 \, \pi b d^{2} f g n x - 16 i \, b d^{2} f g n x \log\left({\left| F \right|}\right) + 8 \, \pi b c d f g n \mathrm{sgn}\left(F\right) - 8 \, \pi b c d f g n - 16 i \, b c d f g n \log\left({\left| F \right|}\right) + 16 i \, b d^{2}\right)} e^{\left(\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi f g n x + \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi g n e\right)}}{-4 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} f^{3} g^{3} n^{3} - 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(4 i \, \pi^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) + 8 \, \pi b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} - 8 \, \pi b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 8 i \, b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 8 i \, \pi^{2} b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) + 16 \, \pi b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 8 i \, \pi^{2} b c d f^{2} g^{2} n^{2} x - 16 \, \pi b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 16 i \, b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 4 i \, \pi^{2} b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 8 \, \pi b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b c^{2} f^{2} g^{2} n^{2} - 8 \, \pi b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 8 i \, b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 8 \, \pi b d^{2} f g n x \mathrm{sgn}\left(F\right) + 8 \, \pi b d^{2} f g n x - 16 i \, b d^{2} f g n x \log\left({\left| F \right|}\right) - 8 \, \pi b c d f g n \mathrm{sgn}\left(F\right) + 8 \, \pi b c d f g n - 16 i \, b c d f g n \log\left({\left| F \right|}\right) + 16 i \, b d^{2}\right)} e^{\left(-\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi f g n x - \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi g n e\right)}}{4 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} f^{3} g^{3} n^{3} - 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)}"," ",0,"1/3*a*d^2*x^3 + a*c*d*x^2 + a*c^2*x - ((2*(pi*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - pi*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 2*pi*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 2*pi*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + pi*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*b*c^2*f^2*g^2*n^2*log(abs(F)) - pi*b*d^2*f*g*n*x*sgn(F) + pi*b*d^2*f*g*n*x - pi*b*c*d*f*g*n*sgn(F) + pi*b*c*d*f*g*n)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) - (pi^2*b*d^2*f^2*g^2*n^2*x^2*sgn(F) - pi^2*b*d^2*f^2*g^2*n^2*x^2 + 2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 2*pi^2*b*c*d*f^2*g^2*n^2*x*sgn(F) - 2*pi^2*b*c*d*f^2*g^2*n^2*x + 4*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + pi^2*b*c^2*f^2*g^2*n^2*sgn(F) - pi^2*b*c^2*f^2*g^2*n^2 + 2*b*c^2*f^2*g^2*n^2*log(abs(F))^2 - 4*b*d^2*f*g*n*x*log(abs(F)) - 4*b*c*d*f*g*n*log(abs(F)) + 4*b*d^2)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*cos(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e) - ((pi^2*b*d^2*f^2*g^2*n^2*x^2*sgn(F) - pi^2*b*d^2*f^2*g^2*n^2*x^2 + 2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 2*pi^2*b*c*d*f^2*g^2*n^2*x*sgn(F) - 2*pi^2*b*c*d*f^2*g^2*n^2*x + 4*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + pi^2*b*c^2*f^2*g^2*n^2*sgn(F) - pi^2*b*c^2*f^2*g^2*n^2 + 2*b*c^2*f^2*g^2*n^2*log(abs(F))^2 - 4*b*d^2*f*g*n*x*log(abs(F)) - 4*b*c*d*f*g*n*log(abs(F)) + 4*b*d^2)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) + 2*(pi*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - pi*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 2*pi*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 2*pi*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + pi*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*b*c^2*f^2*g^2*n^2*log(abs(F)) - pi*b*d^2*f*g*n*x*sgn(F) + pi*b*d^2*f*g*n*x - pi*b*c*d*f*g*n*sgn(F) + pi*b*c*d*f*g*n)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*sin(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F))) + 1/2*I*((4*I*pi^2*b*d^2*f^2*g^2*n^2*x^2*sgn(F) - 8*pi*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b*d^2*f^2*g^2*n^2*x^2 + 8*pi*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 8*I*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 8*I*pi^2*b*c*d*f^2*g^2*n^2*x*sgn(F) - 16*pi*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 8*I*pi^2*b*c*d*f^2*g^2*n^2*x + 16*pi*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + 16*I*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 4*I*pi^2*b*c^2*f^2*g^2*n^2*sgn(F) - 8*pi*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 4*I*pi^2*b*c^2*f^2*g^2*n^2 + 8*pi*b*c^2*f^2*g^2*n^2*log(abs(F)) + 8*I*b*c^2*f^2*g^2*n^2*log(abs(F))^2 + 8*pi*b*d^2*f*g*n*x*sgn(F) - 8*pi*b*d^2*f*g*n*x - 16*I*b*d^2*f*g*n*x*log(abs(F)) + 8*pi*b*c*d*f*g*n*sgn(F) - 8*pi*b*c*d*f*g*n - 16*I*b*c*d*f*g*n*log(abs(F)) + 16*I*b*d^2)*e^(1/2*I*pi*f*g*n*x*sgn(F) - 1/2*I*pi*f*g*n*x + 1/2*I*pi*g*n*e*sgn(F) - 1/2*I*pi*g*n*e)/(-4*I*pi^3*f^3*g^3*n^3*sgn(F) + 12*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) + 12*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*f^3*g^3*n^3 - 12*pi^2*f^3*g^3*n^3*log(abs(F)) - 12*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 8*f^3*g^3*n^3*log(abs(F))^3) - (4*I*pi^2*b*d^2*f^2*g^2*n^2*x^2*sgn(F) + 8*pi*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 4*I*pi^2*b*d^2*f^2*g^2*n^2*x^2 - 8*pi*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 8*I*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 8*I*pi^2*b*c*d*f^2*g^2*n^2*x*sgn(F) + 16*pi*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 8*I*pi^2*b*c*d*f^2*g^2*n^2*x - 16*pi*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + 16*I*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 4*I*pi^2*b*c^2*f^2*g^2*n^2*sgn(F) + 8*pi*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 4*I*pi^2*b*c^2*f^2*g^2*n^2 - 8*pi*b*c^2*f^2*g^2*n^2*log(abs(F)) + 8*I*b*c^2*f^2*g^2*n^2*log(abs(F))^2 - 8*pi*b*d^2*f*g*n*x*sgn(F) + 8*pi*b*d^2*f*g*n*x - 16*I*b*d^2*f*g*n*x*log(abs(F)) - 8*pi*b*c*d*f*g*n*sgn(F) + 8*pi*b*c*d*f*g*n - 16*I*b*c*d*f*g*n*log(abs(F)) + 16*I*b*d^2)*e^(-1/2*I*pi*f*g*n*x*sgn(F) + 1/2*I*pi*f*g*n*x - 1/2*I*pi*g*n*e*sgn(F) + 1/2*I*pi*g*n*e)/(4*I*pi^3*f^3*g^3*n^3*sgn(F) + 12*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 12*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*f^3*g^3*n^3 - 12*pi^2*f^3*g^3*n^3*log(abs(F)) + 12*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 8*f^3*g^3*n^3*log(abs(F))^3))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F)))","C",0
27,1,1117,0,0.374221," ","integrate((a+b*(F^(g*(f*x+e)))^n)*(d*x+c),x, algorithm=""giac"")","\frac{1}{2} \, a d x^{2} + a c x + {\left(2 \, {\left(\frac{{\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)} {\left(\pi b d f g n x \mathrm{sgn}\left(F\right) - \pi b d f g n x + \pi b c f g n \mathrm{sgn}\left(F\right) - \pi b c f g n\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(b d f g n x \log\left({\left| F \right|}\right) + b c f g n \log\left({\left| F \right|}\right) - b d\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right) + {\left(\frac{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b d f g n x \mathrm{sgn}\left(F\right) - \pi b d f g n x + \pi b c f g n \mathrm{sgn}\left(F\right) - \pi b c f g n\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)} {\left(b d f g n x \log\left({\left| F \right|}\right) + b c f g n \log\left({\left| F \right|}\right) - b d\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right)\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{{\left(2 \, \pi b d f g n x \mathrm{sgn}\left(F\right) - 2 \, \pi b d f g n x - 4 i \, b d f g n x \log\left({\left| F \right|}\right) + 2 \, \pi b c f g n \mathrm{sgn}\left(F\right) - 2 \, \pi b c f g n - 4 i \, b c f g n \log\left({\left| F \right|}\right) + 4 i \, b d\right)} e^{\left(\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi f g n x + \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi g n e\right)}}{2 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} f^{2} g^{2} n^{2} - 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(2 \, \pi b d f g n x \mathrm{sgn}\left(F\right) - 2 \, \pi b d f g n x + 4 i \, b d f g n x \log\left({\left| F \right|}\right) + 2 \, \pi b c f g n \mathrm{sgn}\left(F\right) - 2 \, \pi b c f g n + 4 i \, b c f g n \log\left({\left| F \right|}\right) - 4 i \, b d\right)} e^{\left(-\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi f g n x - \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi g n e\right)}}{2 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} f^{2} g^{2} n^{2} + 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)}"," ",0,"1/2*a*d*x^2 + a*c*x + (2*((pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))*(pi*b*d*f*g*n*x*sgn(F) - pi*b*d*f*g*n*x + pi*b*c*f*g*n*sgn(F) - pi*b*c*f*g*n)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) + (pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)*(b*d*f*g*n*x*log(abs(F)) + b*c*f*g*n*log(abs(F)) - b*d)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*cos(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e) + ((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)*(pi*b*d*f*g*n*x*sgn(F) - pi*b*d*f*g*n*x + pi*b*c*f*g*n*sgn(F) - pi*b*c*f*g*n)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) - 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))*(b*d*f*g*n*x*log(abs(F)) + b*c*f*g*n*log(abs(F)) - b*d)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*sin(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F))) - 1/2*I*((2*pi*b*d*f*g*n*x*sgn(F) - 2*pi*b*d*f*g*n*x - 4*I*b*d*f*g*n*x*log(abs(F)) + 2*pi*b*c*f*g*n*sgn(F) - 2*pi*b*c*f*g*n - 4*I*b*c*f*g*n*log(abs(F)) + 4*I*b*d)*e^(1/2*I*pi*f*g*n*x*sgn(F) - 1/2*I*pi*f*g*n*x + 1/2*I*pi*g*n*e*sgn(F) - 1/2*I*pi*g*n*e)/(2*pi^2*f^2*g^2*n^2*sgn(F) + 4*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi^2*f^2*g^2*n^2 - 4*I*pi*f^2*g^2*n^2*log(abs(F)) + 4*f^2*g^2*n^2*log(abs(F))^2) + (2*pi*b*d*f*g*n*x*sgn(F) - 2*pi*b*d*f*g*n*x + 4*I*b*d*f*g*n*x*log(abs(F)) + 2*pi*b*c*f*g*n*sgn(F) - 2*pi*b*c*f*g*n + 4*I*b*c*f*g*n*log(abs(F)) - 4*I*b*d)*e^(-1/2*I*pi*f*g*n*x*sgn(F) + 1/2*I*pi*f*g*n*x - 1/2*I*pi*g*n*e*sgn(F) + 1/2*I*pi*g*n*e)/(2*pi^2*f^2*g^2*n^2*sgn(F) - 4*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi^2*f^2*g^2*n^2 + 4*I*pi*f^2*g^2*n^2*log(abs(F)) + 4*f^2*g^2*n^2*log(abs(F))^2))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F)))","C",0
28,1,32,0,0.200711," ","integrate(a+b*(F^(g*(f*x+e)))^n,x, algorithm=""giac"")","a x + \frac{F^{f g n x + g n e} b}{f g n \log\left(F\right)}"," ",0,"a*x + F^(f*g*n*x + g*n*e)*b/(f*g*n*log(F))","A",0
29,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a}{d x + c}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)/(d*x + c), x)","F",0
30,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)/(d*x + c)^2, x)","F",0
31,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)/(d*x+c)^3,x, algorithm=""giac"")","\int \frac{{\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)/(d*x + c)^3, x)","F",0
32,-1,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2*(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
33,1,5699,0,1.231936," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2*(d*x+c)^2,x, algorithm=""giac"")","\frac{1}{3} \, a^{2} d^{2} x^{3} + a^{2} c d x^{2} + a^{2} c^{2} x - \frac{1}{2} \, {\left({\left(\frac{{\left(2 \, \pi b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 4 \, \pi b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 2 \, \pi b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi b^{2} d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi b^{2} d^{2} f g n x - \pi b^{2} c d f g n \mathrm{sgn}\left(F\right) + \pi b^{2} c d f g n\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{2} b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} + 2 \, b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi^{2} b^{2} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c d f^{2} g^{2} n^{2} x + 4 \, b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + \pi^{2} b^{2} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} f^{2} g^{2} n^{2} + 2 \, b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{2} d^{2} f g n x \log\left({\left| F \right|}\right) - 2 \, b^{2} c d f g n \log\left({\left| F \right|}\right) + b^{2} d^{2}\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\pi f g n x \mathrm{sgn}\left(F\right) + \pi f g n x - \pi g n e \mathrm{sgn}\left(F\right) + \pi g n e\right) - {\left(\frac{{\left(\pi^{2} b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} + 2 \, b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi^{2} b^{2} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} b^{2} c d f^{2} g^{2} n^{2} x + 4 \, b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + \pi^{2} b^{2} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} c^{2} f^{2} g^{2} n^{2} + 2 \, b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, b^{2} d^{2} f g n x \log\left({\left| F \right|}\right) - 2 \, b^{2} c d f g n \log\left({\left| F \right|}\right) + b^{2} d^{2}\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{{\left(2 \, \pi b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 4 \, \pi b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 2 \, \pi b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi b^{2} d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi b^{2} d^{2} f g n x - \pi b^{2} c d f g n \mathrm{sgn}\left(F\right) + \pi b^{2} c d f g n\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\pi f g n x \mathrm{sgn}\left(F\right) + \pi f g n x - \pi g n e \mathrm{sgn}\left(F\right) + \pi g n e\right)\right)} e^{\left(2 \, f g n x \log\left({\left| F \right|}\right) + 2 \, g n e \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} i \, {\left(\frac{{\left(2 i \, \pi^{2} b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - 4 \, \pi b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 i \, \pi^{2} b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} + 4 \, \pi b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 4 i \, b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 4 i \, \pi^{2} b^{2} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 8 \, \pi b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} c d f^{2} g^{2} n^{2} x + 8 \, \pi b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 8 i \, b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 2 i \, \pi^{2} b^{2} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 4 \, \pi b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 i \, \pi^{2} b^{2} c^{2} f^{2} g^{2} n^{2} + 4 \, \pi b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 i \, b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi b^{2} d^{2} f g n x \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} d^{2} f g n x - 4 i \, b^{2} d^{2} f g n x \log\left({\left| F \right|}\right) + 2 \, \pi b^{2} c d f g n \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} c d f g n - 4 i \, b^{2} c d f g n \log\left({\left| F \right|}\right) + 2 i \, b^{2} d^{2}\right)} e^{\left(i \, \pi f g n x \mathrm{sgn}\left(F\right) - i \, \pi f g n x + i \, \pi g n e \mathrm{sgn}\left(F\right) - i \, \pi g n e\right)}}{-4 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} f^{3} g^{3} n^{3} - 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(2 i \, \pi^{2} b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) + 4 \, \pi b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 i \, \pi^{2} b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} - 4 \, \pi b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 4 i \, b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 4 i \, \pi^{2} b^{2} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) + 8 \, \pi b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 i \, \pi^{2} b^{2} c d f^{2} g^{2} n^{2} x - 8 \, \pi b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 8 i \, b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 2 i \, \pi^{2} b^{2} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 4 \, \pi b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 i \, \pi^{2} b^{2} c^{2} f^{2} g^{2} n^{2} - 4 \, \pi b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 i \, b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, \pi b^{2} d^{2} f g n x \mathrm{sgn}\left(F\right) + 2 \, \pi b^{2} d^{2} f g n x - 4 i \, b^{2} d^{2} f g n x \log\left({\left| F \right|}\right) - 2 \, \pi b^{2} c d f g n \mathrm{sgn}\left(F\right) + 2 \, \pi b^{2} c d f g n - 4 i \, b^{2} c d f g n \log\left({\left| F \right|}\right) + 2 i \, b^{2} d^{2}\right)} e^{\left(-i \, \pi f g n x \mathrm{sgn}\left(F\right) + i \, \pi f g n x - i \, \pi g n e \mathrm{sgn}\left(F\right) + i \, \pi g n e\right)}}{4 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} f^{3} g^{3} n^{3} - 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(2 \, f g n x \log\left({\left| F \right|}\right) + 2 \, g n e \log\left({\left| F \right|}\right)\right)} - 2 \, {\left({\left(\frac{2 \, {\left(\pi a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 2 \, \pi a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + \pi a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi a b d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi a b d^{2} f g n x - \pi a b c d f g n \mathrm{sgn}\left(F\right) + \pi a b c d f g n\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{2} a b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a b d^{2} f^{2} g^{2} n^{2} x^{2} + 2 \, a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi^{2} a b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} a b c d f^{2} g^{2} n^{2} x + 4 \, a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + \pi^{2} a b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a b c^{2} f^{2} g^{2} n^{2} + 2 \, a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, a b d^{2} f g n x \log\left({\left| F \right|}\right) - 4 \, a b c d f g n \log\left({\left| F \right|}\right) + 4 \, a b d^{2}\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right) - {\left(\frac{{\left(\pi^{2} a b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a b d^{2} f^{2} g^{2} n^{2} x^{2} + 2 \, a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi^{2} a b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} a b c d f^{2} g^{2} n^{2} x + 4 \, a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + \pi^{2} a b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a b c^{2} f^{2} g^{2} n^{2} + 2 \, a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, a b d^{2} f g n x \log\left({\left| F \right|}\right) - 4 \, a b c d f g n \log\left({\left| F \right|}\right) + 4 \, a b d^{2}\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(\pi a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 2 \, \pi a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + \pi a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi a b d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi a b d^{2} f g n x - \pi a b c d f g n \mathrm{sgn}\left(F\right) + \pi a b c d f g n\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right)\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} i \, {\left(\frac{{\left(8 i \, \pi^{2} a b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - 16 \, \pi a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 8 i \, \pi^{2} a b d^{2} f^{2} g^{2} n^{2} x^{2} + 16 \, \pi a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 16 i \, a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 16 i \, \pi^{2} a b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 32 \, \pi a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 16 i \, \pi^{2} a b c d f^{2} g^{2} n^{2} x + 32 \, \pi a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 32 i \, a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 8 i \, \pi^{2} a b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 16 \, \pi a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 8 i \, \pi^{2} a b c^{2} f^{2} g^{2} n^{2} + 16 \, \pi a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 16 i \, a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} + 16 \, \pi a b d^{2} f g n x \mathrm{sgn}\left(F\right) - 16 \, \pi a b d^{2} f g n x - 32 i \, a b d^{2} f g n x \log\left({\left| F \right|}\right) + 16 \, \pi a b c d f g n \mathrm{sgn}\left(F\right) - 16 \, \pi a b c d f g n - 32 i \, a b c d f g n \log\left({\left| F \right|}\right) + 32 i \, a b d^{2}\right)} e^{\left(\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi f g n x + \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi g n e\right)}}{-4 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} f^{3} g^{3} n^{3} - 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(8 i \, \pi^{2} a b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) + 16 \, \pi a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 8 i \, \pi^{2} a b d^{2} f^{2} g^{2} n^{2} x^{2} - 16 \, \pi a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 16 i \, a b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 16 i \, \pi^{2} a b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) + 32 \, \pi a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 16 i \, \pi^{2} a b c d f^{2} g^{2} n^{2} x - 32 \, \pi a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 32 i \, a b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 8 i \, \pi^{2} a b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 16 \, \pi a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 8 i \, \pi^{2} a b c^{2} f^{2} g^{2} n^{2} - 16 \, \pi a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 16 i \, a b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 16 \, \pi a b d^{2} f g n x \mathrm{sgn}\left(F\right) + 16 \, \pi a b d^{2} f g n x - 32 i \, a b d^{2} f g n x \log\left({\left| F \right|}\right) - 16 \, \pi a b c d f g n \mathrm{sgn}\left(F\right) + 16 \, \pi a b c d f g n - 32 i \, a b c d f g n \log\left({\left| F \right|}\right) + 32 i \, a b d^{2}\right)} e^{\left(-\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi f g n x - \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi g n e\right)}}{4 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} f^{3} g^{3} n^{3} - 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)}"," ",0,"1/3*a^2*d^2*x^3 + a^2*c*d*x^2 + a^2*c^2*x - 1/2*(((2*pi*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 2*pi*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 4*pi*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 4*pi*b^2*c*d*f^2*g^2*n^2*x*log(abs(F)) + 2*pi*b^2*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi*b^2*c^2*f^2*g^2*n^2*log(abs(F)) - pi*b^2*d^2*f*g*n*x*sgn(F) + pi*b^2*d^2*f*g*n*x - pi*b^2*c*d*f*g*n*sgn(F) + pi*b^2*c*d*f*g*n)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) - (pi^2*b^2*d^2*f^2*g^2*n^2*x^2*sgn(F) - pi^2*b^2*d^2*f^2*g^2*n^2*x^2 + 2*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 2*pi^2*b^2*c*d*f^2*g^2*n^2*x*sgn(F) - 2*pi^2*b^2*c*d*f^2*g^2*n^2*x + 4*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + pi^2*b^2*c^2*f^2*g^2*n^2*sgn(F) - pi^2*b^2*c^2*f^2*g^2*n^2 + 2*b^2*c^2*f^2*g^2*n^2*log(abs(F))^2 - 2*b^2*d^2*f*g*n*x*log(abs(F)) - 2*b^2*c*d*f*g*n*log(abs(F)) + b^2*d^2)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*cos(-pi*f*g*n*x*sgn(F) + pi*f*g*n*x - pi*g*n*e*sgn(F) + pi*g*n*e) - ((pi^2*b^2*d^2*f^2*g^2*n^2*x^2*sgn(F) - pi^2*b^2*d^2*f^2*g^2*n^2*x^2 + 2*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 2*pi^2*b^2*c*d*f^2*g^2*n^2*x*sgn(F) - 2*pi^2*b^2*c*d*f^2*g^2*n^2*x + 4*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + pi^2*b^2*c^2*f^2*g^2*n^2*sgn(F) - pi^2*b^2*c^2*f^2*g^2*n^2 + 2*b^2*c^2*f^2*g^2*n^2*log(abs(F))^2 - 2*b^2*d^2*f*g*n*x*log(abs(F)) - 2*b^2*c*d*f*g*n*log(abs(F)) + b^2*d^2)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) + (2*pi*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 2*pi*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 4*pi*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 4*pi*b^2*c*d*f^2*g^2*n^2*x*log(abs(F)) + 2*pi*b^2*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi*b^2*c^2*f^2*g^2*n^2*log(abs(F)) - pi*b^2*d^2*f*g*n*x*sgn(F) + pi*b^2*d^2*f*g*n*x - pi*b^2*c*d*f*g*n*sgn(F) + pi*b^2*c*d*f*g*n)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*sin(-pi*f*g*n*x*sgn(F) + pi*f*g*n*x - pi*g*n*e*sgn(F) + pi*g*n*e))*e^(2*f*g*n*x*log(abs(F)) + 2*g*n*e*log(abs(F))) + 1/2*I*((2*I*pi^2*b^2*d^2*f^2*g^2*n^2*x^2*sgn(F) - 4*pi*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 2*I*pi^2*b^2*d^2*f^2*g^2*n^2*x^2 + 4*pi*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 4*I*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 4*I*pi^2*b^2*c*d*f^2*g^2*n^2*x*sgn(F) - 8*pi*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*c*d*f^2*g^2*n^2*x + 8*pi*b^2*c*d*f^2*g^2*n^2*x*log(abs(F)) + 8*I*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 2*I*pi^2*b^2*c^2*f^2*g^2*n^2*sgn(F) - 4*pi*b^2*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*I*pi^2*b^2*c^2*f^2*g^2*n^2 + 4*pi*b^2*c^2*f^2*g^2*n^2*log(abs(F)) + 4*I*b^2*c^2*f^2*g^2*n^2*log(abs(F))^2 + 2*pi*b^2*d^2*f*g*n*x*sgn(F) - 2*pi*b^2*d^2*f*g*n*x - 4*I*b^2*d^2*f*g*n*x*log(abs(F)) + 2*pi*b^2*c*d*f*g*n*sgn(F) - 2*pi*b^2*c*d*f*g*n - 4*I*b^2*c*d*f*g*n*log(abs(F)) + 2*I*b^2*d^2)*e^(I*pi*f*g*n*x*sgn(F) - I*pi*f*g*n*x + I*pi*g*n*e*sgn(F) - I*pi*g*n*e)/(-4*I*pi^3*f^3*g^3*n^3*sgn(F) + 12*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) + 12*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*f^3*g^3*n^3 - 12*pi^2*f^3*g^3*n^3*log(abs(F)) - 12*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 8*f^3*g^3*n^3*log(abs(F))^3) - (2*I*pi^2*b^2*d^2*f^2*g^2*n^2*x^2*sgn(F) + 4*pi*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 2*I*pi^2*b^2*d^2*f^2*g^2*n^2*x^2 - 4*pi*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 4*I*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 4*I*pi^2*b^2*c*d*f^2*g^2*n^2*x*sgn(F) + 8*pi*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 4*I*pi^2*b^2*c*d*f^2*g^2*n^2*x - 8*pi*b^2*c*d*f^2*g^2*n^2*x*log(abs(F)) + 8*I*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 2*I*pi^2*b^2*c^2*f^2*g^2*n^2*sgn(F) + 4*pi*b^2*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*I*pi^2*b^2*c^2*f^2*g^2*n^2 - 4*pi*b^2*c^2*f^2*g^2*n^2*log(abs(F)) + 4*I*b^2*c^2*f^2*g^2*n^2*log(abs(F))^2 - 2*pi*b^2*d^2*f*g*n*x*sgn(F) + 2*pi*b^2*d^2*f*g*n*x - 4*I*b^2*d^2*f*g*n*x*log(abs(F)) - 2*pi*b^2*c*d*f*g*n*sgn(F) + 2*pi*b^2*c*d*f*g*n - 4*I*b^2*c*d*f*g*n*log(abs(F)) + 2*I*b^2*d^2)*e^(-I*pi*f*g*n*x*sgn(F) + I*pi*f*g*n*x - I*pi*g*n*e*sgn(F) + I*pi*g*n*e)/(4*I*pi^3*f^3*g^3*n^3*sgn(F) + 12*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 12*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*f^3*g^3*n^3 - 12*pi^2*f^3*g^3*n^3*log(abs(F)) + 12*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 8*f^3*g^3*n^3*log(abs(F))^3))*e^(2*f*g*n*x*log(abs(F)) + 2*g*n*e*log(abs(F))) - 2*((2*(pi*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - pi*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 2*pi*a*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 2*pi*a*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + pi*a*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*a*b*c^2*f^2*g^2*n^2*log(abs(F)) - pi*a*b*d^2*f*g*n*x*sgn(F) + pi*a*b*d^2*f*g*n*x - pi*a*b*c*d*f*g*n*sgn(F) + pi*a*b*c*d*f*g*n)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) - (pi^2*a*b*d^2*f^2*g^2*n^2*x^2*sgn(F) - pi^2*a*b*d^2*f^2*g^2*n^2*x^2 + 2*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 2*pi^2*a*b*c*d*f^2*g^2*n^2*x*sgn(F) - 2*pi^2*a*b*c*d*f^2*g^2*n^2*x + 4*a*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + pi^2*a*b*c^2*f^2*g^2*n^2*sgn(F) - pi^2*a*b*c^2*f^2*g^2*n^2 + 2*a*b*c^2*f^2*g^2*n^2*log(abs(F))^2 - 4*a*b*d^2*f*g*n*x*log(abs(F)) - 4*a*b*c*d*f*g*n*log(abs(F)) + 4*a*b*d^2)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*cos(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e) - ((pi^2*a*b*d^2*f^2*g^2*n^2*x^2*sgn(F) - pi^2*a*b*d^2*f^2*g^2*n^2*x^2 + 2*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 2*pi^2*a*b*c*d*f^2*g^2*n^2*x*sgn(F) - 2*pi^2*a*b*c*d*f^2*g^2*n^2*x + 4*a*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + pi^2*a*b*c^2*f^2*g^2*n^2*sgn(F) - pi^2*a*b*c^2*f^2*g^2*n^2 + 2*a*b*c^2*f^2*g^2*n^2*log(abs(F))^2 - 4*a*b*d^2*f*g*n*x*log(abs(F)) - 4*a*b*c*d*f*g*n*log(abs(F)) + 4*a*b*d^2)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) + 2*(pi*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - pi*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 2*pi*a*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 2*pi*a*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + pi*a*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*a*b*c^2*f^2*g^2*n^2*log(abs(F)) - pi*a*b*d^2*f*g*n*x*sgn(F) + pi*a*b*d^2*f*g*n*x - pi*a*b*c*d*f*g*n*sgn(F) + pi*a*b*c*d*f*g*n)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*sin(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F))) + 1/2*I*((8*I*pi^2*a*b*d^2*f^2*g^2*n^2*x^2*sgn(F) - 16*pi*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 8*I*pi^2*a*b*d^2*f^2*g^2*n^2*x^2 + 16*pi*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 16*I*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 16*I*pi^2*a*b*c*d*f^2*g^2*n^2*x*sgn(F) - 32*pi*a*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 16*I*pi^2*a*b*c*d*f^2*g^2*n^2*x + 32*pi*a*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + 32*I*a*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 8*I*pi^2*a*b*c^2*f^2*g^2*n^2*sgn(F) - 16*pi*a*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 8*I*pi^2*a*b*c^2*f^2*g^2*n^2 + 16*pi*a*b*c^2*f^2*g^2*n^2*log(abs(F)) + 16*I*a*b*c^2*f^2*g^2*n^2*log(abs(F))^2 + 16*pi*a*b*d^2*f*g*n*x*sgn(F) - 16*pi*a*b*d^2*f*g*n*x - 32*I*a*b*d^2*f*g*n*x*log(abs(F)) + 16*pi*a*b*c*d*f*g*n*sgn(F) - 16*pi*a*b*c*d*f*g*n - 32*I*a*b*c*d*f*g*n*log(abs(F)) + 32*I*a*b*d^2)*e^(1/2*I*pi*f*g*n*x*sgn(F) - 1/2*I*pi*f*g*n*x + 1/2*I*pi*g*n*e*sgn(F) - 1/2*I*pi*g*n*e)/(-4*I*pi^3*f^3*g^3*n^3*sgn(F) + 12*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) + 12*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*f^3*g^3*n^3 - 12*pi^2*f^3*g^3*n^3*log(abs(F)) - 12*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 8*f^3*g^3*n^3*log(abs(F))^3) - (8*I*pi^2*a*b*d^2*f^2*g^2*n^2*x^2*sgn(F) + 16*pi*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 8*I*pi^2*a*b*d^2*f^2*g^2*n^2*x^2 - 16*pi*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 16*I*a*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 16*I*pi^2*a*b*c*d*f^2*g^2*n^2*x*sgn(F) + 32*pi*a*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 16*I*pi^2*a*b*c*d*f^2*g^2*n^2*x - 32*pi*a*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + 32*I*a*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 8*I*pi^2*a*b*c^2*f^2*g^2*n^2*sgn(F) + 16*pi*a*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 8*I*pi^2*a*b*c^2*f^2*g^2*n^2 - 16*pi*a*b*c^2*f^2*g^2*n^2*log(abs(F)) + 16*I*a*b*c^2*f^2*g^2*n^2*log(abs(F))^2 - 16*pi*a*b*d^2*f*g*n*x*sgn(F) + 16*pi*a*b*d^2*f*g*n*x - 32*I*a*b*d^2*f*g*n*x*log(abs(F)) - 16*pi*a*b*c*d*f*g*n*sgn(F) + 16*pi*a*b*c*d*f*g*n - 32*I*a*b*c*d*f*g*n*log(abs(F)) + 32*I*a*b*d^2)*e^(-1/2*I*pi*f*g*n*x*sgn(F) + 1/2*I*pi*f*g*n*x - 1/2*I*pi*g*n*e*sgn(F) + 1/2*I*pi*g*n*e)/(4*I*pi^3*f^3*g^3*n^3*sgn(F) + 12*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 12*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*f^3*g^3*n^3 - 12*pi^2*f^3*g^3*n^3*log(abs(F)) + 12*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 8*f^3*g^3*n^3*log(abs(F))^3))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F)))","C",0
34,1,2312,0,0.981000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2*(d*x+c),x, algorithm=""giac"")","\frac{1}{2} \, a^{2} d x^{2} + a^{2} c x + \frac{1}{2} \, {\left({\left(\frac{2 \, {\left(\pi b^{2} d f g n x \mathrm{sgn}\left(F\right) - \pi b^{2} d f g n x + \pi b^{2} c f g n \mathrm{sgn}\left(F\right) - \pi b^{2} c f g n\right)} {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(2 \, b^{2} d f g n x \log\left({\left| F \right|}\right) + 2 \, b^{2} c f g n \log\left({\left| F \right|}\right) - b^{2} d\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(-\pi f g n x \mathrm{sgn}\left(F\right) + \pi f g n x - \pi g n e \mathrm{sgn}\left(F\right) + \pi g n e\right) + {\left(\frac{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b^{2} d f g n x \mathrm{sgn}\left(F\right) - \pi b^{2} d f g n x + \pi b^{2} c f g n \mathrm{sgn}\left(F\right) - \pi b^{2} c f g n\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{2 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)} {\left(2 \, b^{2} d f g n x \log\left({\left| F \right|}\right) + 2 \, b^{2} c f g n \log\left({\left| F \right|}\right) - b^{2} d\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(-\pi f g n x \mathrm{sgn}\left(F\right) + \pi f g n x - \pi g n e \mathrm{sgn}\left(F\right) + \pi g n e\right)\right)} e^{\left(2 \, f g n x \log\left({\left| F \right|}\right) + 2 \, g n e \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{{\left(\pi b^{2} d f g n x \mathrm{sgn}\left(F\right) - \pi b^{2} d f g n x - 2 i \, b^{2} d f g n x \log\left({\left| F \right|}\right) + \pi b^{2} c f g n \mathrm{sgn}\left(F\right) - \pi b^{2} c f g n - 2 i \, b^{2} c f g n \log\left({\left| F \right|}\right) + i \, b^{2} d\right)} e^{\left(i \, \pi f g n x \mathrm{sgn}\left(F\right) - i \, \pi f g n x + i \, \pi g n e \mathrm{sgn}\left(F\right) - i \, \pi g n e\right)}}{2 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} f^{2} g^{2} n^{2} - 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(\pi b^{2} d f g n x \mathrm{sgn}\left(F\right) - \pi b^{2} d f g n x + 2 i \, b^{2} d f g n x \log\left({\left| F \right|}\right) + \pi b^{2} c f g n \mathrm{sgn}\left(F\right) - \pi b^{2} c f g n + 2 i \, b^{2} c f g n \log\left({\left| F \right|}\right) - i \, b^{2} d\right)} e^{\left(-i \, \pi f g n x \mathrm{sgn}\left(F\right) + i \, \pi f g n x - i \, \pi g n e \mathrm{sgn}\left(F\right) + i \, \pi g n e\right)}}{2 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} f^{2} g^{2} n^{2} + 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(2 \, f g n x \log\left({\left| F \right|}\right) + 2 \, g n e \log\left({\left| F \right|}\right)\right)} + 2 \, {\left(2 \, {\left(\frac{{\left(\pi a b d f g n x \mathrm{sgn}\left(F\right) - \pi a b d f g n x + \pi a b c f g n \mathrm{sgn}\left(F\right) - \pi a b c f g n\right)} {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(a b d f g n x \log\left({\left| F \right|}\right) + a b c f g n \log\left({\left| F \right|}\right) - a b d\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right) + {\left(\frac{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi a b d f g n x \mathrm{sgn}\left(F\right) - \pi a b d f g n x + \pi a b c f g n \mathrm{sgn}\left(F\right) - \pi a b c f g n\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)} {\left(a b d f g n x \log\left({\left| F \right|}\right) + a b c f g n \log\left({\left| F \right|}\right) - a b d\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right)\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{{\left(4 \, \pi a b d f g n x \mathrm{sgn}\left(F\right) - 4 \, \pi a b d f g n x - 8 i \, a b d f g n x \log\left({\left| F \right|}\right) + 4 \, \pi a b c f g n \mathrm{sgn}\left(F\right) - 4 \, \pi a b c f g n - 8 i \, a b c f g n \log\left({\left| F \right|}\right) + 8 i \, a b d\right)} e^{\left(\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi f g n x + \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi g n e\right)}}{2 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} f^{2} g^{2} n^{2} - 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(4 \, \pi a b d f g n x \mathrm{sgn}\left(F\right) - 4 \, \pi a b d f g n x + 8 i \, a b d f g n x \log\left({\left| F \right|}\right) + 4 \, \pi a b c f g n \mathrm{sgn}\left(F\right) - 4 \, \pi a b c f g n + 8 i \, a b c f g n \log\left({\left| F \right|}\right) - 8 i \, a b d\right)} e^{\left(-\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi f g n x - \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi g n e\right)}}{2 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} f^{2} g^{2} n^{2} + 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)}"," ",0,"1/2*a^2*d*x^2 + a^2*c*x + 1/2*((2*(pi*b^2*d*f*g*n*x*sgn(F) - pi*b^2*d*f*g*n*x + pi*b^2*c*f*g*n*sgn(F) - pi*b^2*c*f*g*n)*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) + (pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)*(2*b^2*d*f*g*n*x*log(abs(F)) + 2*b^2*c*f*g*n*log(abs(F)) - b^2*d)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*cos(-pi*f*g*n*x*sgn(F) + pi*f*g*n*x - pi*g*n*e*sgn(F) + pi*g*n*e) + ((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)*(pi*b^2*d*f*g*n*x*sgn(F) - pi*b^2*d*f*g*n*x + pi*b^2*c*f*g*n*sgn(F) - pi*b^2*c*f*g*n)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) - 2*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))*(2*b^2*d*f*g*n*x*log(abs(F)) + 2*b^2*c*f*g*n*log(abs(F)) - b^2*d)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*sin(-pi*f*g*n*x*sgn(F) + pi*f*g*n*x - pi*g*n*e*sgn(F) + pi*g*n*e))*e^(2*f*g*n*x*log(abs(F)) + 2*g*n*e*log(abs(F))) - 1/2*I*((pi*b^2*d*f*g*n*x*sgn(F) - pi*b^2*d*f*g*n*x - 2*I*b^2*d*f*g*n*x*log(abs(F)) + pi*b^2*c*f*g*n*sgn(F) - pi*b^2*c*f*g*n - 2*I*b^2*c*f*g*n*log(abs(F)) + I*b^2*d)*e^(I*pi*f*g*n*x*sgn(F) - I*pi*f*g*n*x + I*pi*g*n*e*sgn(F) - I*pi*g*n*e)/(2*pi^2*f^2*g^2*n^2*sgn(F) + 4*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi^2*f^2*g^2*n^2 - 4*I*pi*f^2*g^2*n^2*log(abs(F)) + 4*f^2*g^2*n^2*log(abs(F))^2) + (pi*b^2*d*f*g*n*x*sgn(F) - pi*b^2*d*f*g*n*x + 2*I*b^2*d*f*g*n*x*log(abs(F)) + pi*b^2*c*f*g*n*sgn(F) - pi*b^2*c*f*g*n + 2*I*b^2*c*f*g*n*log(abs(F)) - I*b^2*d)*e^(-I*pi*f*g*n*x*sgn(F) + I*pi*f*g*n*x - I*pi*g*n*e*sgn(F) + I*pi*g*n*e)/(2*pi^2*f^2*g^2*n^2*sgn(F) - 4*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi^2*f^2*g^2*n^2 + 4*I*pi*f^2*g^2*n^2*log(abs(F)) + 4*f^2*g^2*n^2*log(abs(F))^2))*e^(2*f*g*n*x*log(abs(F)) + 2*g*n*e*log(abs(F))) + 2*(2*((pi*a*b*d*f*g*n*x*sgn(F) - pi*a*b*d*f*g*n*x + pi*a*b*c*f*g*n*sgn(F) - pi*a*b*c*f*g*n)*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) + (pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)*(a*b*d*f*g*n*x*log(abs(F)) + a*b*c*f*g*n*log(abs(F)) - a*b*d)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*cos(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e) + ((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)*(pi*a*b*d*f*g*n*x*sgn(F) - pi*a*b*d*f*g*n*x + pi*a*b*c*f*g*n*sgn(F) - pi*a*b*c*f*g*n)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) - 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))*(a*b*d*f*g*n*x*log(abs(F)) + a*b*c*f*g*n*log(abs(F)) - a*b*d)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*sin(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F))) - 1/2*I*((4*pi*a*b*d*f*g*n*x*sgn(F) - 4*pi*a*b*d*f*g*n*x - 8*I*a*b*d*f*g*n*x*log(abs(F)) + 4*pi*a*b*c*f*g*n*sgn(F) - 4*pi*a*b*c*f*g*n - 8*I*a*b*c*f*g*n*log(abs(F)) + 8*I*a*b*d)*e^(1/2*I*pi*f*g*n*x*sgn(F) - 1/2*I*pi*f*g*n*x + 1/2*I*pi*g*n*e*sgn(F) - 1/2*I*pi*g*n*e)/(2*pi^2*f^2*g^2*n^2*sgn(F) + 4*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi^2*f^2*g^2*n^2 - 4*I*pi*f^2*g^2*n^2*log(abs(F)) + 4*f^2*g^2*n^2*log(abs(F))^2) + (4*pi*a*b*d*f*g*n*x*sgn(F) - 4*pi*a*b*d*f*g*n*x + 8*I*a*b*d*f*g*n*x*log(abs(F)) + 4*pi*a*b*c*f*g*n*sgn(F) - 4*pi*a*b*c*f*g*n + 8*I*a*b*c*f*g*n*log(abs(F)) - 8*I*a*b*d)*e^(-1/2*I*pi*f*g*n*x*sgn(F) + 1/2*I*pi*f*g*n*x - 1/2*I*pi*g*n*e*sgn(F) + 1/2*I*pi*g*n*e)/(2*pi^2*f^2*g^2*n^2*sgn(F) - 4*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi^2*f^2*g^2*n^2 + 4*I*pi*f^2*g^2*n^2*log(abs(F)) + 4*f^2*g^2*n^2*log(abs(F))^2))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F)))","C",0
35,1,77,0,0.489394," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""giac"")","\frac{4 \, F^{f g n x} F^{g n e} a b + F^{2 \, f g n x} F^{2 \, g n e} b^{2} + 2 \, a^{2} \log\left({\left| F \right|}^{f g n x} {\left| F \right|}^{g n e}\right)}{2 \, f g n \log\left(F\right)}"," ",0,"1/2*(4*F^(f*g*n*x)*F^(g*n*e)*a*b + F^(2*f*g*n*x)*F^(2*g*n*e)*b^2 + 2*a^2*log(abs(F)^(f*g*n*x)*abs(F)^(g*n*e)))/(f*g*n*log(F))","A",0
36,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{2}}{d x + c}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)^2/(d*x + c), x)","F",0
37,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)^2/(d*x + c)^2, x)","F",0
38,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2/(d*x+c)^3,x, algorithm=""giac"")","\int \frac{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{2}}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)^2/(d*x + c)^3, x)","F",0
39,-1,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3*(d*x+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
40,1,8854,0,1.661691," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3*(d*x+c)^2,x, algorithm=""giac"")","\frac{1}{3} \, a^{3} d^{2} x^{3} + a^{3} c d x^{2} + a^{3} c^{2} x - \frac{1}{27} \, {\left({\left(\frac{6 \, {\left(3 \, \pi b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 6 \, \pi b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 3 \, \pi b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi b^{3} d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi b^{3} d^{2} f g n x - \pi b^{3} c d f g n \mathrm{sgn}\left(F\right) + \pi b^{3} c d f g n\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(9 \, \pi^{2} b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - 9 \, \pi^{2} b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} + 18 \, b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 18 \, \pi^{2} b^{3} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 18 \, \pi^{2} b^{3} c d f^{2} g^{2} n^{2} x + 36 \, b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 9 \, \pi^{2} b^{3} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 9 \, \pi^{2} b^{3} c^{2} f^{2} g^{2} n^{2} + 18 \, b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 12 \, b^{3} d^{2} f g n x \log\left({\left| F \right|}\right) - 12 \, b^{3} c d f g n \log\left({\left| F \right|}\right) + 4 \, b^{3} d^{2}\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{3}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi f g n x - \frac{3}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi g n e\right) - {\left(\frac{{\left(9 \, \pi^{2} b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - 9 \, \pi^{2} b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} + 18 \, b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 18 \, \pi^{2} b^{3} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 18 \, \pi^{2} b^{3} c d f^{2} g^{2} n^{2} x + 36 \, b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 9 \, \pi^{2} b^{3} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 9 \, \pi^{2} b^{3} c^{2} f^{2} g^{2} n^{2} + 18 \, b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 12 \, b^{3} d^{2} f g n x \log\left({\left| F \right|}\right) - 12 \, b^{3} c d f g n \log\left({\left| F \right|}\right) + 4 \, b^{3} d^{2}\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{6 \, {\left(3 \, \pi b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 6 \, \pi b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 \, \pi b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 3 \, \pi b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi b^{3} d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi b^{3} d^{2} f g n x - \pi b^{3} c d f g n \mathrm{sgn}\left(F\right) + \pi b^{3} c d f g n\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{3}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi f g n x - \frac{3}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi g n e\right)\right)} e^{\left(3 \, f g n x \log\left({\left| F \right|}\right) + 3 \, g n e \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} i \, {\left(\frac{{\left(36 i \, \pi^{2} b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - 72 \, \pi b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 36 i \, \pi^{2} b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} + 72 \, \pi b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 72 i \, b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 72 i \, \pi^{2} b^{3} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 144 \, \pi b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 72 i \, \pi^{2} b^{3} c d f^{2} g^{2} n^{2} x + 144 \, \pi b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 144 i \, b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 36 i \, \pi^{2} b^{3} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 72 \, \pi b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 36 i \, \pi^{2} b^{3} c^{2} f^{2} g^{2} n^{2} + 72 \, \pi b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 72 i \, b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} + 24 \, \pi b^{3} d^{2} f g n x \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} d^{2} f g n x - 48 i \, b^{3} d^{2} f g n x \log\left({\left| F \right|}\right) + 24 \, \pi b^{3} c d f g n \mathrm{sgn}\left(F\right) - 24 \, \pi b^{3} c d f g n - 48 i \, b^{3} c d f g n \log\left({\left| F \right|}\right) + 16 i \, b^{3} d^{2}\right)} e^{\left(\frac{3}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) - \frac{3}{2} i \, \pi f g n x + \frac{3}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) - \frac{3}{2} i \, \pi g n e\right)}}{-108 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 324 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 324 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 108 i \, \pi^{3} f^{3} g^{3} n^{3} - 324 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) - 324 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 216 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(36 i \, \pi^{2} b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) + 72 \, \pi b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 36 i \, \pi^{2} b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} - 72 \, \pi b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 72 i \, b^{3} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 72 i \, \pi^{2} b^{3} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) + 144 \, \pi b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 72 i \, \pi^{2} b^{3} c d f^{2} g^{2} n^{2} x - 144 \, \pi b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 144 i \, b^{3} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 36 i \, \pi^{2} b^{3} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 72 \, \pi b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 36 i \, \pi^{2} b^{3} c^{2} f^{2} g^{2} n^{2} - 72 \, \pi b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 72 i \, b^{3} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 24 \, \pi b^{3} d^{2} f g n x \mathrm{sgn}\left(F\right) + 24 \, \pi b^{3} d^{2} f g n x - 48 i \, b^{3} d^{2} f g n x \log\left({\left| F \right|}\right) - 24 \, \pi b^{3} c d f g n \mathrm{sgn}\left(F\right) + 24 \, \pi b^{3} c d f g n - 48 i \, b^{3} c d f g n \log\left({\left| F \right|}\right) + 16 i \, b^{3} d^{2}\right)} e^{\left(-\frac{3}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{3}{2} i \, \pi f g n x - \frac{3}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{3}{2} i \, \pi g n e\right)}}{108 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 324 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 324 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 108 i \, \pi^{3} f^{3} g^{3} n^{3} - 324 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 324 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 216 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(3 \, f g n x \log\left({\left| F \right|}\right) + 3 \, g n e \log\left({\left| F \right|}\right)\right)} - \frac{3}{2} \, {\left({\left(\frac{{\left(2 \, \pi a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 4 \, \pi a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 2 \, \pi a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi a b^{2} d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi a b^{2} d^{2} f g n x - \pi a b^{2} c d f g n \mathrm{sgn}\left(F\right) + \pi a b^{2} c d f g n\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{2} a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} + 2 \, a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi^{2} a b^{2} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} a b^{2} c d f^{2} g^{2} n^{2} x + 4 \, a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + \pi^{2} a b^{2} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a b^{2} c^{2} f^{2} g^{2} n^{2} + 2 \, a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, a b^{2} d^{2} f g n x \log\left({\left| F \right|}\right) - 2 \, a b^{2} c d f g n \log\left({\left| F \right|}\right) + a b^{2} d^{2}\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\pi f g n x \mathrm{sgn}\left(F\right) + \pi f g n x - \pi g n e \mathrm{sgn}\left(F\right) + \pi g n e\right) - {\left(\frac{{\left(\pi^{2} a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} + 2 \, a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi^{2} a b^{2} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} a b^{2} c d f^{2} g^{2} n^{2} x + 4 \, a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + \pi^{2} a b^{2} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a b^{2} c^{2} f^{2} g^{2} n^{2} + 2 \, a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 2 \, a b^{2} d^{2} f g n x \log\left({\left| F \right|}\right) - 2 \, a b^{2} c d f g n \log\left({\left| F \right|}\right) + a b^{2} d^{2}\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{{\left(2 \, \pi a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 4 \, \pi a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 4 \, \pi a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 2 \, \pi a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi a b^{2} d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi a b^{2} d^{2} f g n x - \pi a b^{2} c d f g n \mathrm{sgn}\left(F\right) + \pi a b^{2} c d f g n\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\pi f g n x \mathrm{sgn}\left(F\right) + \pi f g n x - \pi g n e \mathrm{sgn}\left(F\right) + \pi g n e\right)\right)} e^{\left(2 \, f g n x \log\left({\left| F \right|}\right) + 2 \, g n e \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} i \, {\left(\frac{{\left(6 i \, \pi^{2} a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - 12 \, \pi a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 i \, \pi^{2} a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} + 12 \, \pi a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 12 i \, a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 12 i \, \pi^{2} a b^{2} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 24 \, \pi a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi^{2} a b^{2} c d f^{2} g^{2} n^{2} x + 24 \, \pi a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 24 i \, a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 6 i \, \pi^{2} a b^{2} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 12 \, \pi a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 i \, \pi^{2} a b^{2} c^{2} f^{2} g^{2} n^{2} + 12 \, \pi a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 12 i \, a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} + 6 \, \pi a b^{2} d^{2} f g n x \mathrm{sgn}\left(F\right) - 6 \, \pi a b^{2} d^{2} f g n x - 12 i \, a b^{2} d^{2} f g n x \log\left({\left| F \right|}\right) + 6 \, \pi a b^{2} c d f g n \mathrm{sgn}\left(F\right) - 6 \, \pi a b^{2} c d f g n - 12 i \, a b^{2} c d f g n \log\left({\left| F \right|}\right) + 6 i \, a b^{2} d^{2}\right)} e^{\left(i \, \pi f g n x \mathrm{sgn}\left(F\right) - i \, \pi f g n x + i \, \pi g n e \mathrm{sgn}\left(F\right) - i \, \pi g n e\right)}}{-4 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} f^{3} g^{3} n^{3} - 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(6 i \, \pi^{2} a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 i \, \pi^{2} a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} - 12 \, \pi a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 12 i \, a b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 12 i \, \pi^{2} a b^{2} c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) + 24 \, \pi a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi^{2} a b^{2} c d f^{2} g^{2} n^{2} x - 24 \, \pi a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 24 i \, a b^{2} c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 6 i \, \pi^{2} a b^{2} c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 12 \, \pi a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 6 i \, \pi^{2} a b^{2} c^{2} f^{2} g^{2} n^{2} - 12 \, \pi a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 12 i \, a b^{2} c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 6 \, \pi a b^{2} d^{2} f g n x \mathrm{sgn}\left(F\right) + 6 \, \pi a b^{2} d^{2} f g n x - 12 i \, a b^{2} d^{2} f g n x \log\left({\left| F \right|}\right) - 6 \, \pi a b^{2} c d f g n \mathrm{sgn}\left(F\right) + 6 \, \pi a b^{2} c d f g n - 12 i \, a b^{2} c d f g n \log\left({\left| F \right|}\right) + 6 i \, a b^{2} d^{2}\right)} e^{\left(-i \, \pi f g n x \mathrm{sgn}\left(F\right) + i \, \pi f g n x - i \, \pi g n e \mathrm{sgn}\left(F\right) + i \, \pi g n e\right)}}{4 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} f^{3} g^{3} n^{3} - 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(2 \, f g n x \log\left({\left| F \right|}\right) + 2 \, g n e \log\left({\left| F \right|}\right)\right)} - 3 \, {\left({\left(\frac{2 \, {\left(\pi a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 2 \, \pi a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + \pi a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi a^{2} b d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi a^{2} b d^{2} f g n x - \pi a^{2} b c d f g n \mathrm{sgn}\left(F\right) + \pi a^{2} b c d f g n\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{2} a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} + 2 \, a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi^{2} a^{2} b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} a^{2} b c d f^{2} g^{2} n^{2} x + 4 \, a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + \pi^{2} a^{2} b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a^{2} b c^{2} f^{2} g^{2} n^{2} + 2 \, a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, a^{2} b d^{2} f g n x \log\left({\left| F \right|}\right) - 4 \, a^{2} b c d f g n \log\left({\left| F \right|}\right) + 4 \, a^{2} b d^{2}\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right) - {\left(\frac{{\left(\pi^{2} a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} + 2 \, a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 2 \, \pi^{2} a^{2} b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} a^{2} b c d f^{2} g^{2} n^{2} x + 4 \, a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + \pi^{2} a^{2} b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} a^{2} b c^{2} f^{2} g^{2} n^{2} + 2 \, a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 4 \, a^{2} b d^{2} f g n x \log\left({\left| F \right|}\right) - 4 \, a^{2} b c d f g n \log\left({\left| F \right|}\right) + 4 \, a^{2} b d^{2}\right)} {\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(\pi a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 2 \, \pi a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + \pi a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) - \pi a^{2} b d^{2} f g n x \mathrm{sgn}\left(F\right) + \pi a^{2} b d^{2} f g n x - \pi a^{2} b c d f g n \mathrm{sgn}\left(F\right) + \pi a^{2} b c d f g n\right)} {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}}{{\left(\pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} f^{3} g^{3} n^{3} + 3 \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 2 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right)\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} i \, {\left(\frac{{\left(12 i \, \pi^{2} a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) - 24 \, \pi a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi^{2} a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} + 24 \, \pi a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 24 i \, a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 24 i \, \pi^{2} a^{2} b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) - 48 \, \pi a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} a^{2} b c d f^{2} g^{2} n^{2} x + 48 \, \pi a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 48 i \, a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 12 i \, \pi^{2} a^{2} b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 24 \, \pi a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi^{2} a^{2} b c^{2} f^{2} g^{2} n^{2} + 24 \, \pi a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 24 i \, a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} + 24 \, \pi a^{2} b d^{2} f g n x \mathrm{sgn}\left(F\right) - 24 \, \pi a^{2} b d^{2} f g n x - 48 i \, a^{2} b d^{2} f g n x \log\left({\left| F \right|}\right) + 24 \, \pi a^{2} b c d f g n \mathrm{sgn}\left(F\right) - 24 \, \pi a^{2} b c d f g n - 48 i \, a^{2} b c d f g n \log\left({\left| F \right|}\right) + 48 i \, a^{2} b d^{2}\right)} e^{\left(\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi f g n x + \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi g n e\right)}}{-4 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi^{3} f^{3} g^{3} n^{3} - 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) - 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}} - \frac{{\left(12 i \, \pi^{2} a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \mathrm{sgn}\left(F\right) + 24 \, \pi a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi^{2} a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} - 24 \, \pi a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right) + 24 i \, a^{2} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left({\left| F \right|}\right)^{2} + 24 i \, \pi^{2} a^{2} b c d f^{2} g^{2} n^{2} x \mathrm{sgn}\left(F\right) + 48 \, \pi a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 24 i \, \pi^{2} a^{2} b c d f^{2} g^{2} n^{2} x - 48 \, \pi a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right) + 48 i \, a^{2} b c d f^{2} g^{2} n^{2} x \log\left({\left| F \right|}\right)^{2} + 12 i \, \pi^{2} a^{2} b c^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 24 \, \pi a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi^{2} a^{2} b c^{2} f^{2} g^{2} n^{2} - 24 \, \pi a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 24 i \, a^{2} b c^{2} f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2} - 24 \, \pi a^{2} b d^{2} f g n x \mathrm{sgn}\left(F\right) + 24 \, \pi a^{2} b d^{2} f g n x - 48 i \, a^{2} b d^{2} f g n x \log\left({\left| F \right|}\right) - 24 \, \pi a^{2} b c d f g n \mathrm{sgn}\left(F\right) + 24 \, \pi a^{2} b c d f g n - 48 i \, a^{2} b c d f g n \log\left({\left| F \right|}\right) + 48 i \, a^{2} b d^{2}\right)} e^{\left(-\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi f g n x - \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi g n e\right)}}{4 i \, \pi^{3} f^{3} g^{3} n^{3} \mathrm{sgn}\left(F\right) + 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi^{3} f^{3} g^{3} n^{3} - 12 \, \pi^{2} f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right) + 12 i \, \pi f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{2} + 8 \, f^{3} g^{3} n^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)}"," ",0,"1/3*a^3*d^2*x^3 + a^3*c*d*x^2 + a^3*c^2*x - 1/27*((6*(3*pi*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 3*pi*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 6*pi*b^3*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 6*pi*b^3*c*d*f^2*g^2*n^2*x*log(abs(F)) + 3*pi*b^3*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 3*pi*b^3*c^2*f^2*g^2*n^2*log(abs(F)) - pi*b^3*d^2*f*g*n*x*sgn(F) + pi*b^3*d^2*f*g*n*x - pi*b^3*c*d*f*g*n*sgn(F) + pi*b^3*c*d*f*g*n)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) - (9*pi^2*b^3*d^2*f^2*g^2*n^2*x^2*sgn(F) - 9*pi^2*b^3*d^2*f^2*g^2*n^2*x^2 + 18*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 18*pi^2*b^3*c*d*f^2*g^2*n^2*x*sgn(F) - 18*pi^2*b^3*c*d*f^2*g^2*n^2*x + 36*b^3*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 9*pi^2*b^3*c^2*f^2*g^2*n^2*sgn(F) - 9*pi^2*b^3*c^2*f^2*g^2*n^2 + 18*b^3*c^2*f^2*g^2*n^2*log(abs(F))^2 - 12*b^3*d^2*f*g*n*x*log(abs(F)) - 12*b^3*c*d*f*g*n*log(abs(F)) + 4*b^3*d^2)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*cos(-3/2*pi*f*g*n*x*sgn(F) + 3/2*pi*f*g*n*x - 3/2*pi*g*n*e*sgn(F) + 3/2*pi*g*n*e) - ((9*pi^2*b^3*d^2*f^2*g^2*n^2*x^2*sgn(F) - 9*pi^2*b^3*d^2*f^2*g^2*n^2*x^2 + 18*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 18*pi^2*b^3*c*d*f^2*g^2*n^2*x*sgn(F) - 18*pi^2*b^3*c*d*f^2*g^2*n^2*x + 36*b^3*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 9*pi^2*b^3*c^2*f^2*g^2*n^2*sgn(F) - 9*pi^2*b^3*c^2*f^2*g^2*n^2 + 18*b^3*c^2*f^2*g^2*n^2*log(abs(F))^2 - 12*b^3*d^2*f*g*n*x*log(abs(F)) - 12*b^3*c*d*f*g*n*log(abs(F)) + 4*b^3*d^2)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) + 6*(3*pi*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 3*pi*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 6*pi*b^3*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 6*pi*b^3*c*d*f^2*g^2*n^2*x*log(abs(F)) + 3*pi*b^3*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 3*pi*b^3*c^2*f^2*g^2*n^2*log(abs(F)) - pi*b^3*d^2*f*g*n*x*sgn(F) + pi*b^3*d^2*f*g*n*x - pi*b^3*c*d*f*g*n*sgn(F) + pi*b^3*c*d*f*g*n)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*sin(-3/2*pi*f*g*n*x*sgn(F) + 3/2*pi*f*g*n*x - 3/2*pi*g*n*e*sgn(F) + 3/2*pi*g*n*e))*e^(3*f*g*n*x*log(abs(F)) + 3*g*n*e*log(abs(F))) + 1/2*I*((36*I*pi^2*b^3*d^2*f^2*g^2*n^2*x^2*sgn(F) - 72*pi*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 36*I*pi^2*b^3*d^2*f^2*g^2*n^2*x^2 + 72*pi*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 72*I*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 72*I*pi^2*b^3*c*d*f^2*g^2*n^2*x*sgn(F) - 144*pi*b^3*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 72*I*pi^2*b^3*c*d*f^2*g^2*n^2*x + 144*pi*b^3*c*d*f^2*g^2*n^2*x*log(abs(F)) + 144*I*b^3*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 36*I*pi^2*b^3*c^2*f^2*g^2*n^2*sgn(F) - 72*pi*b^3*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 36*I*pi^2*b^3*c^2*f^2*g^2*n^2 + 72*pi*b^3*c^2*f^2*g^2*n^2*log(abs(F)) + 72*I*b^3*c^2*f^2*g^2*n^2*log(abs(F))^2 + 24*pi*b^3*d^2*f*g*n*x*sgn(F) - 24*pi*b^3*d^2*f*g*n*x - 48*I*b^3*d^2*f*g*n*x*log(abs(F)) + 24*pi*b^3*c*d*f*g*n*sgn(F) - 24*pi*b^3*c*d*f*g*n - 48*I*b^3*c*d*f*g*n*log(abs(F)) + 16*I*b^3*d^2)*e^(3/2*I*pi*f*g*n*x*sgn(F) - 3/2*I*pi*f*g*n*x + 3/2*I*pi*g*n*e*sgn(F) - 3/2*I*pi*g*n*e)/(-108*I*pi^3*f^3*g^3*n^3*sgn(F) + 324*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) + 324*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) + 108*I*pi^3*f^3*g^3*n^3 - 324*pi^2*f^3*g^3*n^3*log(abs(F)) - 324*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 216*f^3*g^3*n^3*log(abs(F))^3) - (36*I*pi^2*b^3*d^2*f^2*g^2*n^2*x^2*sgn(F) + 72*pi*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 36*I*pi^2*b^3*d^2*f^2*g^2*n^2*x^2 - 72*pi*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 72*I*b^3*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 72*I*pi^2*b^3*c*d*f^2*g^2*n^2*x*sgn(F) + 144*pi*b^3*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 72*I*pi^2*b^3*c*d*f^2*g^2*n^2*x - 144*pi*b^3*c*d*f^2*g^2*n^2*x*log(abs(F)) + 144*I*b^3*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 36*I*pi^2*b^3*c^2*f^2*g^2*n^2*sgn(F) + 72*pi*b^3*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 36*I*pi^2*b^3*c^2*f^2*g^2*n^2 - 72*pi*b^3*c^2*f^2*g^2*n^2*log(abs(F)) + 72*I*b^3*c^2*f^2*g^2*n^2*log(abs(F))^2 - 24*pi*b^3*d^2*f*g*n*x*sgn(F) + 24*pi*b^3*d^2*f*g*n*x - 48*I*b^3*d^2*f*g*n*x*log(abs(F)) - 24*pi*b^3*c*d*f*g*n*sgn(F) + 24*pi*b^3*c*d*f*g*n - 48*I*b^3*c*d*f*g*n*log(abs(F)) + 16*I*b^3*d^2)*e^(-3/2*I*pi*f*g*n*x*sgn(F) + 3/2*I*pi*f*g*n*x - 3/2*I*pi*g*n*e*sgn(F) + 3/2*I*pi*g*n*e)/(108*I*pi^3*f^3*g^3*n^3*sgn(F) + 324*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 324*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - 108*I*pi^3*f^3*g^3*n^3 - 324*pi^2*f^3*g^3*n^3*log(abs(F)) + 324*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 216*f^3*g^3*n^3*log(abs(F))^3))*e^(3*f*g*n*x*log(abs(F)) + 3*g*n*e*log(abs(F))) - 3/2*(((2*pi*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 2*pi*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 4*pi*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 4*pi*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F)) + 2*pi*a*b^2*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi*a*b^2*c^2*f^2*g^2*n^2*log(abs(F)) - pi*a*b^2*d^2*f*g*n*x*sgn(F) + pi*a*b^2*d^2*f*g*n*x - pi*a*b^2*c*d*f*g*n*sgn(F) + pi*a*b^2*c*d*f*g*n)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) - (pi^2*a*b^2*d^2*f^2*g^2*n^2*x^2*sgn(F) - pi^2*a*b^2*d^2*f^2*g^2*n^2*x^2 + 2*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 2*pi^2*a*b^2*c*d*f^2*g^2*n^2*x*sgn(F) - 2*pi^2*a*b^2*c*d*f^2*g^2*n^2*x + 4*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + pi^2*a*b^2*c^2*f^2*g^2*n^2*sgn(F) - pi^2*a*b^2*c^2*f^2*g^2*n^2 + 2*a*b^2*c^2*f^2*g^2*n^2*log(abs(F))^2 - 2*a*b^2*d^2*f*g*n*x*log(abs(F)) - 2*a*b^2*c*d*f*g*n*log(abs(F)) + a*b^2*d^2)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*cos(-pi*f*g*n*x*sgn(F) + pi*f*g*n*x - pi*g*n*e*sgn(F) + pi*g*n*e) - ((pi^2*a*b^2*d^2*f^2*g^2*n^2*x^2*sgn(F) - pi^2*a*b^2*d^2*f^2*g^2*n^2*x^2 + 2*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 2*pi^2*a*b^2*c*d*f^2*g^2*n^2*x*sgn(F) - 2*pi^2*a*b^2*c*d*f^2*g^2*n^2*x + 4*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + pi^2*a*b^2*c^2*f^2*g^2*n^2*sgn(F) - pi^2*a*b^2*c^2*f^2*g^2*n^2 + 2*a*b^2*c^2*f^2*g^2*n^2*log(abs(F))^2 - 2*a*b^2*d^2*f*g*n*x*log(abs(F)) - 2*a*b^2*c*d*f*g*n*log(abs(F)) + a*b^2*d^2)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) + (2*pi*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 2*pi*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 4*pi*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 4*pi*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F)) + 2*pi*a*b^2*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi*a*b^2*c^2*f^2*g^2*n^2*log(abs(F)) - pi*a*b^2*d^2*f*g*n*x*sgn(F) + pi*a*b^2*d^2*f*g*n*x - pi*a*b^2*c*d*f*g*n*sgn(F) + pi*a*b^2*c*d*f*g*n)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*sin(-pi*f*g*n*x*sgn(F) + pi*f*g*n*x - pi*g*n*e*sgn(F) + pi*g*n*e))*e^(2*f*g*n*x*log(abs(F)) + 2*g*n*e*log(abs(F))) + 1/2*I*((6*I*pi^2*a*b^2*d^2*f^2*g^2*n^2*x^2*sgn(F) - 12*pi*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 6*I*pi^2*a*b^2*d^2*f^2*g^2*n^2*x^2 + 12*pi*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 12*I*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 12*I*pi^2*a*b^2*c*d*f^2*g^2*n^2*x*sgn(F) - 24*pi*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 12*I*pi^2*a*b^2*c*d*f^2*g^2*n^2*x + 24*pi*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F)) + 24*I*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 6*I*pi^2*a*b^2*c^2*f^2*g^2*n^2*sgn(F) - 12*pi*a*b^2*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 6*I*pi^2*a*b^2*c^2*f^2*g^2*n^2 + 12*pi*a*b^2*c^2*f^2*g^2*n^2*log(abs(F)) + 12*I*a*b^2*c^2*f^2*g^2*n^2*log(abs(F))^2 + 6*pi*a*b^2*d^2*f*g*n*x*sgn(F) - 6*pi*a*b^2*d^2*f*g*n*x - 12*I*a*b^2*d^2*f*g*n*x*log(abs(F)) + 6*pi*a*b^2*c*d*f*g*n*sgn(F) - 6*pi*a*b^2*c*d*f*g*n - 12*I*a*b^2*c*d*f*g*n*log(abs(F)) + 6*I*a*b^2*d^2)*e^(I*pi*f*g*n*x*sgn(F) - I*pi*f*g*n*x + I*pi*g*n*e*sgn(F) - I*pi*g*n*e)/(-4*I*pi^3*f^3*g^3*n^3*sgn(F) + 12*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) + 12*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*f^3*g^3*n^3 - 12*pi^2*f^3*g^3*n^3*log(abs(F)) - 12*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 8*f^3*g^3*n^3*log(abs(F))^3) - (6*I*pi^2*a*b^2*d^2*f^2*g^2*n^2*x^2*sgn(F) + 12*pi*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 6*I*pi^2*a*b^2*d^2*f^2*g^2*n^2*x^2 - 12*pi*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 12*I*a*b^2*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 12*I*pi^2*a*b^2*c*d*f^2*g^2*n^2*x*sgn(F) + 24*pi*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 12*I*pi^2*a*b^2*c*d*f^2*g^2*n^2*x - 24*pi*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F)) + 24*I*a*b^2*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 6*I*pi^2*a*b^2*c^2*f^2*g^2*n^2*sgn(F) + 12*pi*a*b^2*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 6*I*pi^2*a*b^2*c^2*f^2*g^2*n^2 - 12*pi*a*b^2*c^2*f^2*g^2*n^2*log(abs(F)) + 12*I*a*b^2*c^2*f^2*g^2*n^2*log(abs(F))^2 - 6*pi*a*b^2*d^2*f*g*n*x*sgn(F) + 6*pi*a*b^2*d^2*f*g*n*x - 12*I*a*b^2*d^2*f*g*n*x*log(abs(F)) - 6*pi*a*b^2*c*d*f*g*n*sgn(F) + 6*pi*a*b^2*c*d*f*g*n - 12*I*a*b^2*c*d*f*g*n*log(abs(F)) + 6*I*a*b^2*d^2)*e^(-I*pi*f*g*n*x*sgn(F) + I*pi*f*g*n*x - I*pi*g*n*e*sgn(F) + I*pi*g*n*e)/(4*I*pi^3*f^3*g^3*n^3*sgn(F) + 12*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 12*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*f^3*g^3*n^3 - 12*pi^2*f^3*g^3*n^3*log(abs(F)) + 12*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 8*f^3*g^3*n^3*log(abs(F))^3))*e^(2*f*g*n*x*log(abs(F)) + 2*g*n*e*log(abs(F))) - 3*((2*(pi*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - pi*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 2*pi*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 2*pi*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + pi*a^2*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*a^2*b*c^2*f^2*g^2*n^2*log(abs(F)) - pi*a^2*b*d^2*f*g*n*x*sgn(F) + pi*a^2*b*d^2*f*g*n*x - pi*a^2*b*c*d*f*g*n*sgn(F) + pi*a^2*b*c*d*f*g*n)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) - (pi^2*a^2*b*d^2*f^2*g^2*n^2*x^2*sgn(F) - pi^2*a^2*b*d^2*f^2*g^2*n^2*x^2 + 2*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 2*pi^2*a^2*b*c*d*f^2*g^2*n^2*x*sgn(F) - 2*pi^2*a^2*b*c*d*f^2*g^2*n^2*x + 4*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + pi^2*a^2*b*c^2*f^2*g^2*n^2*sgn(F) - pi^2*a^2*b*c^2*f^2*g^2*n^2 + 2*a^2*b*c^2*f^2*g^2*n^2*log(abs(F))^2 - 4*a^2*b*d^2*f*g*n*x*log(abs(F)) - 4*a^2*b*c*d*f*g*n*log(abs(F)) + 4*a^2*b*d^2)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*cos(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e) - ((pi^2*a^2*b*d^2*f^2*g^2*n^2*x^2*sgn(F) - pi^2*a^2*b*d^2*f^2*g^2*n^2*x^2 + 2*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 2*pi^2*a^2*b*c*d*f^2*g^2*n^2*x*sgn(F) - 2*pi^2*a^2*b*c*d*f^2*g^2*n^2*x + 4*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + pi^2*a^2*b*c^2*f^2*g^2*n^2*sgn(F) - pi^2*a^2*b*c^2*f^2*g^2*n^2 + 2*a^2*b*c^2*f^2*g^2*n^2*log(abs(F))^2 - 4*a^2*b*d^2*f*g*n*x*log(abs(F)) - 4*a^2*b*c*d*f*g*n*log(abs(F)) + 4*a^2*b*d^2)*(pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2) + 2*(pi*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - pi*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 2*pi*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 2*pi*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + pi*a^2*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*a^2*b*c^2*f^2*g^2*n^2*log(abs(F)) - pi*a^2*b*d^2*f*g*n*x*sgn(F) + pi*a^2*b*d^2*f*g*n*x - pi*a^2*b*c*d*f*g*n*sgn(F) + pi*a^2*b*c*d*f*g*n)*(3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)/((pi^3*f^3*g^3*n^3*sgn(F) - 3*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - pi^3*f^3*g^3*n^3 + 3*pi*f^3*g^3*n^3*log(abs(F))^2)^2 + (3*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 3*pi^2*f^3*g^3*n^3*log(abs(F)) + 2*f^3*g^3*n^3*log(abs(F))^3)^2))*sin(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F))) + 1/2*I*((12*I*pi^2*a^2*b*d^2*f^2*g^2*n^2*x^2*sgn(F) - 24*pi*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 12*I*pi^2*a^2*b*d^2*f^2*g^2*n^2*x^2 + 24*pi*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 24*I*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 24*I*pi^2*a^2*b*c*d*f^2*g^2*n^2*x*sgn(F) - 48*pi*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 24*I*pi^2*a^2*b*c*d*f^2*g^2*n^2*x + 48*pi*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + 48*I*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 12*I*pi^2*a^2*b*c^2*f^2*g^2*n^2*sgn(F) - 24*pi*a^2*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 12*I*pi^2*a^2*b*c^2*f^2*g^2*n^2 + 24*pi*a^2*b*c^2*f^2*g^2*n^2*log(abs(F)) + 24*I*a^2*b*c^2*f^2*g^2*n^2*log(abs(F))^2 + 24*pi*a^2*b*d^2*f*g*n*x*sgn(F) - 24*pi*a^2*b*d^2*f*g*n*x - 48*I*a^2*b*d^2*f*g*n*x*log(abs(F)) + 24*pi*a^2*b*c*d*f*g*n*sgn(F) - 24*pi*a^2*b*c*d*f*g*n - 48*I*a^2*b*c*d*f*g*n*log(abs(F)) + 48*I*a^2*b*d^2)*e^(1/2*I*pi*f*g*n*x*sgn(F) - 1/2*I*pi*f*g*n*x + 1/2*I*pi*g*n*e*sgn(F) - 1/2*I*pi*g*n*e)/(-4*I*pi^3*f^3*g^3*n^3*sgn(F) + 12*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) + 12*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) + 4*I*pi^3*f^3*g^3*n^3 - 12*pi^2*f^3*g^3*n^3*log(abs(F)) - 12*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 8*f^3*g^3*n^3*log(abs(F))^3) - (12*I*pi^2*a^2*b*d^2*f^2*g^2*n^2*x^2*sgn(F) + 24*pi*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))*sgn(F) - 12*I*pi^2*a^2*b*d^2*f^2*g^2*n^2*x^2 - 24*pi*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F)) + 24*I*a^2*b*d^2*f^2*g^2*n^2*x^2*log(abs(F))^2 + 24*I*pi^2*a^2*b*c*d*f^2*g^2*n^2*x*sgn(F) + 48*pi*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F))*sgn(F) - 24*I*pi^2*a^2*b*c*d*f^2*g^2*n^2*x - 48*pi*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F)) + 48*I*a^2*b*c*d*f^2*g^2*n^2*x*log(abs(F))^2 + 12*I*pi^2*a^2*b*c^2*f^2*g^2*n^2*sgn(F) + 24*pi*a^2*b*c^2*f^2*g^2*n^2*log(abs(F))*sgn(F) - 12*I*pi^2*a^2*b*c^2*f^2*g^2*n^2 - 24*pi*a^2*b*c^2*f^2*g^2*n^2*log(abs(F)) + 24*I*a^2*b*c^2*f^2*g^2*n^2*log(abs(F))^2 - 24*pi*a^2*b*d^2*f*g*n*x*sgn(F) + 24*pi*a^2*b*d^2*f*g*n*x - 48*I*a^2*b*d^2*f*g*n*x*log(abs(F)) - 24*pi*a^2*b*c*d*f*g*n*sgn(F) + 24*pi*a^2*b*c*d*f*g*n - 48*I*a^2*b*c*d*f*g*n*log(abs(F)) + 48*I*a^2*b*d^2)*e^(-1/2*I*pi*f*g*n*x*sgn(F) + 1/2*I*pi*f*g*n*x - 1/2*I*pi*g*n*e*sgn(F) + 1/2*I*pi*g*n*e)/(4*I*pi^3*f^3*g^3*n^3*sgn(F) + 12*pi^2*f^3*g^3*n^3*log(abs(F))*sgn(F) - 12*I*pi*f^3*g^3*n^3*log(abs(F))^2*sgn(F) - 4*I*pi^3*f^3*g^3*n^3 - 12*pi^2*f^3*g^3*n^3*log(abs(F)) + 12*I*pi*f^3*g^3*n^3*log(abs(F))^2 + 8*f^3*g^3*n^3*log(abs(F))^3))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F)))","C",0
41,1,3572,0,1.329728," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3*(d*x+c),x, algorithm=""giac"")","\frac{1}{2} \, a^{3} d x^{2} + a^{3} c x + \frac{1}{9} \, {\left(2 \, {\left(\frac{{\left(3 \, b^{3} d f g n x \log\left({\left| F \right|}\right) + 3 \, b^{3} c f g n \log\left({\left| F \right|}\right) - b^{3} d\right)} {\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{3 \, {\left(\pi b^{3} d f g n x \mathrm{sgn}\left(F\right) - \pi b^{3} d f g n x + \pi b^{3} c f g n \mathrm{sgn}\left(F\right) - \pi b^{3} c f g n\right)} {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{3}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi f g n x - \frac{3}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi g n e\right) + {\left(\frac{3 \, {\left(\pi b^{3} d f g n x \mathrm{sgn}\left(F\right) - \pi b^{3} d f g n x + \pi b^{3} c f g n \mathrm{sgn}\left(F\right) - \pi b^{3} c f g n\right)} {\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{4 \, {\left(3 \, b^{3} d f g n x \log\left({\left| F \right|}\right) + 3 \, b^{3} c f g n \log\left({\left| F \right|}\right) - b^{3} d\right)} {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{3}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi f g n x - \frac{3}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi g n e\right)\right)} e^{\left(3 \, f g n x \log\left({\left| F \right|}\right) + 3 \, g n e \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{{\left(6 \, \pi b^{3} d f g n x \mathrm{sgn}\left(F\right) - 6 \, \pi b^{3} d f g n x - 12 i \, b^{3} d f g n x \log\left({\left| F \right|}\right) + 6 \, \pi b^{3} c f g n \mathrm{sgn}\left(F\right) - 6 \, \pi b^{3} c f g n - 12 i \, b^{3} c f g n \log\left({\left| F \right|}\right) + 4 i \, b^{3} d\right)} e^{\left(\frac{3}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) - \frac{3}{2} i \, \pi f g n x + \frac{3}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) - \frac{3}{2} i \, \pi g n e\right)}}{18 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 36 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 18 \, \pi^{2} f^{2} g^{2} n^{2} - 36 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 36 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(6 \, \pi b^{3} d f g n x \mathrm{sgn}\left(F\right) - 6 \, \pi b^{3} d f g n x + 12 i \, b^{3} d f g n x \log\left({\left| F \right|}\right) + 6 \, \pi b^{3} c f g n \mathrm{sgn}\left(F\right) - 6 \, \pi b^{3} c f g n + 12 i \, b^{3} c f g n \log\left({\left| F \right|}\right) - 4 i \, b^{3} d\right)} e^{\left(-\frac{3}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{3}{2} i \, \pi f g n x - \frac{3}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{3}{2} i \, \pi g n e\right)}}{18 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 36 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 18 \, \pi^{2} f^{2} g^{2} n^{2} + 36 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 36 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(3 \, f g n x \log\left({\left| F \right|}\right) + 3 \, g n e \log\left({\left| F \right|}\right)\right)} + \frac{3}{2} \, {\left({\left(\frac{{\left(2 \, a b^{2} d f g n x \log\left({\left| F \right|}\right) + 2 \, a b^{2} c f g n \log\left({\left| F \right|}\right) - a b^{2} d\right)} {\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{2 \, {\left(\pi a b^{2} d f g n x \mathrm{sgn}\left(F\right) - \pi a b^{2} d f g n x + \pi a b^{2} c f g n \mathrm{sgn}\left(F\right) - \pi a b^{2} c f g n\right)} {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(-\pi f g n x \mathrm{sgn}\left(F\right) + \pi f g n x - \pi g n e \mathrm{sgn}\left(F\right) + \pi g n e\right) + {\left(\frac{{\left(\pi a b^{2} d f g n x \mathrm{sgn}\left(F\right) - \pi a b^{2} d f g n x + \pi a b^{2} c f g n \mathrm{sgn}\left(F\right) - \pi a b^{2} c f g n\right)} {\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{2 \, {\left(2 \, a b^{2} d f g n x \log\left({\left| F \right|}\right) + 2 \, a b^{2} c f g n \log\left({\left| F \right|}\right) - a b^{2} d\right)} {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(-\pi f g n x \mathrm{sgn}\left(F\right) + \pi f g n x - \pi g n e \mathrm{sgn}\left(F\right) + \pi g n e\right)\right)} e^{\left(2 \, f g n x \log\left({\left| F \right|}\right) + 2 \, g n e \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{{\left(3 \, \pi a b^{2} d f g n x \mathrm{sgn}\left(F\right) - 3 \, \pi a b^{2} d f g n x - 6 i \, a b^{2} d f g n x \log\left({\left| F \right|}\right) + 3 \, \pi a b^{2} c f g n \mathrm{sgn}\left(F\right) - 3 \, \pi a b^{2} c f g n - 6 i \, a b^{2} c f g n \log\left({\left| F \right|}\right) + 3 i \, a b^{2} d\right)} e^{\left(i \, \pi f g n x \mathrm{sgn}\left(F\right) - i \, \pi f g n x + i \, \pi g n e \mathrm{sgn}\left(F\right) - i \, \pi g n e\right)}}{2 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} f^{2} g^{2} n^{2} - 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(3 \, \pi a b^{2} d f g n x \mathrm{sgn}\left(F\right) - 3 \, \pi a b^{2} d f g n x + 6 i \, a b^{2} d f g n x \log\left({\left| F \right|}\right) + 3 \, \pi a b^{2} c f g n \mathrm{sgn}\left(F\right) - 3 \, \pi a b^{2} c f g n + 6 i \, a b^{2} c f g n \log\left({\left| F \right|}\right) - 3 i \, a b^{2} d\right)} e^{\left(-i \, \pi f g n x \mathrm{sgn}\left(F\right) + i \, \pi f g n x - i \, \pi g n e \mathrm{sgn}\left(F\right) + i \, \pi g n e\right)}}{2 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} f^{2} g^{2} n^{2} + 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(2 \, f g n x \log\left({\left| F \right|}\right) + 2 \, g n e \log\left({\left| F \right|}\right)\right)} + 3 \, {\left(2 \, {\left(\frac{{\left(a^{2} b d f g n x \log\left({\left| F \right|}\right) + a^{2} b c f g n \log\left({\left| F \right|}\right) - a^{2} b d\right)} {\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{{\left(\pi a^{2} b d f g n x \mathrm{sgn}\left(F\right) - \pi a^{2} b d f g n x + \pi a^{2} b c f g n \mathrm{sgn}\left(F\right) - \pi a^{2} b c f g n\right)} {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right) + {\left(\frac{{\left(\pi a^{2} b d f g n x \mathrm{sgn}\left(F\right) - \pi a^{2} b d f g n x + \pi a^{2} b c f g n \mathrm{sgn}\left(F\right) - \pi a^{2} b c f g n\right)} {\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{4 \, {\left(a^{2} b d f g n x \log\left({\left| F \right|}\right) + a^{2} b c f g n \log\left({\left| F \right|}\right) - a^{2} b d\right)} {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}}{{\left(\pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - \pi^{2} f^{2} g^{2} n^{2} + 2 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi f g n x - \frac{1}{2} \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi g n e\right)\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{{\left(6 \, \pi a^{2} b d f g n x \mathrm{sgn}\left(F\right) - 6 \, \pi a^{2} b d f g n x - 12 i \, a^{2} b d f g n x \log\left({\left| F \right|}\right) + 6 \, \pi a^{2} b c f g n \mathrm{sgn}\left(F\right) - 6 \, \pi a^{2} b c f g n - 12 i \, a^{2} b c f g n \log\left({\left| F \right|}\right) + 12 i \, a^{2} b d\right)} e^{\left(\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi f g n x + \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi g n e\right)}}{2 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) + 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} f^{2} g^{2} n^{2} - 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(6 \, \pi a^{2} b d f g n x \mathrm{sgn}\left(F\right) - 6 \, \pi a^{2} b d f g n x + 12 i \, a^{2} b d f g n x \log\left({\left| F \right|}\right) + 6 \, \pi a^{2} b c f g n \mathrm{sgn}\left(F\right) - 6 \, \pi a^{2} b c f g n + 12 i \, a^{2} b c f g n \log\left({\left| F \right|}\right) - 12 i \, a^{2} b d\right)} e^{\left(-\frac{1}{2} i \, \pi f g n x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi f g n x - \frac{1}{2} i \, \pi g n e \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi g n e\right)}}{2 \, \pi^{2} f^{2} g^{2} n^{2} \mathrm{sgn}\left(F\right) - 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi^{2} f^{2} g^{2} n^{2} + 4 i \, \pi f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right) + 4 \, f^{2} g^{2} n^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(f g n x \log\left({\left| F \right|}\right) + g n e \log\left({\left| F \right|}\right)\right)}"," ",0,"1/2*a^3*d*x^2 + a^3*c*x + 1/9*(2*((3*b^3*d*f*g*n*x*log(abs(F)) + 3*b^3*c*f*g*n*log(abs(F)) - b^3*d)*(pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) + 3*(pi*b^3*d*f*g*n*x*sgn(F) - pi*b^3*d*f*g*n*x + pi*b^3*c*f*g*n*sgn(F) - pi*b^3*c*f*g*n)*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*cos(-3/2*pi*f*g*n*x*sgn(F) + 3/2*pi*f*g*n*x - 3/2*pi*g*n*e*sgn(F) + 3/2*pi*g*n*e) + (3*(pi*b^3*d*f*g*n*x*sgn(F) - pi*b^3*d*f*g*n*x + pi*b^3*c*f*g*n*sgn(F) - pi*b^3*c*f*g*n)*(pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) - 4*(3*b^3*d*f*g*n*x*log(abs(F)) + 3*b^3*c*f*g*n*log(abs(F)) - b^3*d)*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*sin(-3/2*pi*f*g*n*x*sgn(F) + 3/2*pi*f*g*n*x - 3/2*pi*g*n*e*sgn(F) + 3/2*pi*g*n*e))*e^(3*f*g*n*x*log(abs(F)) + 3*g*n*e*log(abs(F))) - 1/2*I*((6*pi*b^3*d*f*g*n*x*sgn(F) - 6*pi*b^3*d*f*g*n*x - 12*I*b^3*d*f*g*n*x*log(abs(F)) + 6*pi*b^3*c*f*g*n*sgn(F) - 6*pi*b^3*c*f*g*n - 12*I*b^3*c*f*g*n*log(abs(F)) + 4*I*b^3*d)*e^(3/2*I*pi*f*g*n*x*sgn(F) - 3/2*I*pi*f*g*n*x + 3/2*I*pi*g*n*e*sgn(F) - 3/2*I*pi*g*n*e)/(18*pi^2*f^2*g^2*n^2*sgn(F) + 36*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 18*pi^2*f^2*g^2*n^2 - 36*I*pi*f^2*g^2*n^2*log(abs(F)) + 36*f^2*g^2*n^2*log(abs(F))^2) + (6*pi*b^3*d*f*g*n*x*sgn(F) - 6*pi*b^3*d*f*g*n*x + 12*I*b^3*d*f*g*n*x*log(abs(F)) + 6*pi*b^3*c*f*g*n*sgn(F) - 6*pi*b^3*c*f*g*n + 12*I*b^3*c*f*g*n*log(abs(F)) - 4*I*b^3*d)*e^(-3/2*I*pi*f*g*n*x*sgn(F) + 3/2*I*pi*f*g*n*x - 3/2*I*pi*g*n*e*sgn(F) + 3/2*I*pi*g*n*e)/(18*pi^2*f^2*g^2*n^2*sgn(F) - 36*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 18*pi^2*f^2*g^2*n^2 + 36*I*pi*f^2*g^2*n^2*log(abs(F)) + 36*f^2*g^2*n^2*log(abs(F))^2))*e^(3*f*g*n*x*log(abs(F)) + 3*g*n*e*log(abs(F))) + 3/2*(((2*a*b^2*d*f*g*n*x*log(abs(F)) + 2*a*b^2*c*f*g*n*log(abs(F)) - a*b^2*d)*(pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) + 2*(pi*a*b^2*d*f*g*n*x*sgn(F) - pi*a*b^2*d*f*g*n*x + pi*a*b^2*c*f*g*n*sgn(F) - pi*a*b^2*c*f*g*n)*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*cos(-pi*f*g*n*x*sgn(F) + pi*f*g*n*x - pi*g*n*e*sgn(F) + pi*g*n*e) + ((pi*a*b^2*d*f*g*n*x*sgn(F) - pi*a*b^2*d*f*g*n*x + pi*a*b^2*c*f*g*n*sgn(F) - pi*a*b^2*c*f*g*n)*(pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) - 2*(2*a*b^2*d*f*g*n*x*log(abs(F)) + 2*a*b^2*c*f*g*n*log(abs(F)) - a*b^2*d)*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*sin(-pi*f*g*n*x*sgn(F) + pi*f*g*n*x - pi*g*n*e*sgn(F) + pi*g*n*e))*e^(2*f*g*n*x*log(abs(F)) + 2*g*n*e*log(abs(F))) - 1/2*I*((3*pi*a*b^2*d*f*g*n*x*sgn(F) - 3*pi*a*b^2*d*f*g*n*x - 6*I*a*b^2*d*f*g*n*x*log(abs(F)) + 3*pi*a*b^2*c*f*g*n*sgn(F) - 3*pi*a*b^2*c*f*g*n - 6*I*a*b^2*c*f*g*n*log(abs(F)) + 3*I*a*b^2*d)*e^(I*pi*f*g*n*x*sgn(F) - I*pi*f*g*n*x + I*pi*g*n*e*sgn(F) - I*pi*g*n*e)/(2*pi^2*f^2*g^2*n^2*sgn(F) + 4*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi^2*f^2*g^2*n^2 - 4*I*pi*f^2*g^2*n^2*log(abs(F)) + 4*f^2*g^2*n^2*log(abs(F))^2) + (3*pi*a*b^2*d*f*g*n*x*sgn(F) - 3*pi*a*b^2*d*f*g*n*x + 6*I*a*b^2*d*f*g*n*x*log(abs(F)) + 3*pi*a*b^2*c*f*g*n*sgn(F) - 3*pi*a*b^2*c*f*g*n + 6*I*a*b^2*c*f*g*n*log(abs(F)) - 3*I*a*b^2*d)*e^(-I*pi*f*g*n*x*sgn(F) + I*pi*f*g*n*x - I*pi*g*n*e*sgn(F) + I*pi*g*n*e)/(2*pi^2*f^2*g^2*n^2*sgn(F) - 4*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi^2*f^2*g^2*n^2 + 4*I*pi*f^2*g^2*n^2*log(abs(F)) + 4*f^2*g^2*n^2*log(abs(F))^2))*e^(2*f*g*n*x*log(abs(F)) + 2*g*n*e*log(abs(F))) + 3*(2*((a^2*b*d*f*g*n*x*log(abs(F)) + a^2*b*c*f*g*n*log(abs(F)) - a^2*b*d)*(pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) + (pi*a^2*b*d*f*g*n*x*sgn(F) - pi*a^2*b*d*f*g*n*x + pi*a^2*b*c*f*g*n*sgn(F) - pi*a^2*b*c*f*g*n)*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*cos(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e) + ((pi*a^2*b*d*f*g*n*x*sgn(F) - pi*a^2*b*d*f*g*n*x + pi*a^2*b*c*f*g*n*sgn(F) - pi*a^2*b*c*f*g*n)*(pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2) - 4*(a^2*b*d*f*g*n*x*log(abs(F)) + a^2*b*c*f*g*n*log(abs(F)) - a^2*b*d)*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))/((pi^2*f^2*g^2*n^2*sgn(F) - pi^2*f^2*g^2*n^2 + 2*f^2*g^2*n^2*log(abs(F))^2)^2 + 4*(pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - pi*f^2*g^2*n^2*log(abs(F)))^2))*sin(-1/2*pi*f*g*n*x*sgn(F) + 1/2*pi*f*g*n*x - 1/2*pi*g*n*e*sgn(F) + 1/2*pi*g*n*e))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F))) - 1/2*I*((6*pi*a^2*b*d*f*g*n*x*sgn(F) - 6*pi*a^2*b*d*f*g*n*x - 12*I*a^2*b*d*f*g*n*x*log(abs(F)) + 6*pi*a^2*b*c*f*g*n*sgn(F) - 6*pi*a^2*b*c*f*g*n - 12*I*a^2*b*c*f*g*n*log(abs(F)) + 12*I*a^2*b*d)*e^(1/2*I*pi*f*g*n*x*sgn(F) - 1/2*I*pi*f*g*n*x + 1/2*I*pi*g*n*e*sgn(F) - 1/2*I*pi*g*n*e)/(2*pi^2*f^2*g^2*n^2*sgn(F) + 4*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi^2*f^2*g^2*n^2 - 4*I*pi*f^2*g^2*n^2*log(abs(F)) + 4*f^2*g^2*n^2*log(abs(F))^2) + (6*pi*a^2*b*d*f*g*n*x*sgn(F) - 6*pi*a^2*b*d*f*g*n*x + 12*I*a^2*b*d*f*g*n*x*log(abs(F)) + 6*pi*a^2*b*c*f*g*n*sgn(F) - 6*pi*a^2*b*c*f*g*n + 12*I*a^2*b*c*f*g*n*log(abs(F)) - 12*I*a^2*b*d)*e^(-1/2*I*pi*f*g*n*x*sgn(F) + 1/2*I*pi*f*g*n*x - 1/2*I*pi*g*n*e*sgn(F) + 1/2*I*pi*g*n*e)/(2*pi^2*f^2*g^2*n^2*sgn(F) - 4*I*pi*f^2*g^2*n^2*log(abs(F))*sgn(F) - 2*pi^2*f^2*g^2*n^2 + 4*I*pi*f^2*g^2*n^2*log(abs(F)) + 4*f^2*g^2*n^2*log(abs(F))^2))*e^(f*g*n*x*log(abs(F)) + g*n*e*log(abs(F)))","C",0
42,1,102,0,0.435274," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3,x, algorithm=""giac"")","\frac{18 \, F^{f g n x} F^{g n e} a^{2} b + 9 \, F^{2 \, f g n x} F^{2 \, g n e} a b^{2} + 2 \, F^{3 \, f g n x} F^{3 \, g n e} b^{3} + 6 \, a^{3} \log\left({\left| F \right|}^{f g n x} {\left| F \right|}^{g n e}\right)}{6 \, f g n \log\left(F\right)}"," ",0,"1/6*(18*F^(f*g*n*x)*F^(g*n*e)*a^2*b + 9*F^(2*f*g*n*x)*F^(2*g*n*e)*a*b^2 + 2*F^(3*f*g*n*x)*F^(3*g*n*e)*b^3 + 6*a^3*log(abs(F)^(f*g*n*x)*abs(F)^(g*n*e)))/(f*g*n*log(F))","A",0
43,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{3}}{d x + c}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)^3/(d*x + c), x)","F",0
44,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{3}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)^3/(d*x + c)^2, x)","F",0
45,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3/(d*x+c)^3,x, algorithm=""giac"")","\int \frac{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{3}}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)^3/(d*x + c)^3, x)","F",0
46,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*(F^(g*(f*x+e)))^n),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{{\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^3/((F^((f*x + e)*g))^n*b + a), x)","F",0
47,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*(F^(g*(f*x+e)))^n),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{{\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^2/((F^((f*x + e)*g))^n*b + a), x)","F",0
48,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*(F^(g*(f*x+e)))^n),x, algorithm=""giac"")","\int \frac{d x + c}{{\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)/((F^((f*x + e)*g))^n*b + a), x)","F",0
49,1,74,0,0.349264," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n),x, algorithm=""giac"")","\frac{\log\left({\left| F \right|}^{f g n x} {\left| F \right|}^{g n e}\right)}{a f g n \log\left(F\right)} - \frac{\log\left({\left| F^{f g n x} F^{g n e} b + a \right|}\right)}{a f g n \log\left(F\right)}"," ",0,"log(abs(F)^(f*g*n*x)*abs(F)^(g*n*e))/(a*f*g*n*log(F)) - log(abs(F^(f*g*n*x)*F^(g*n*e)*b + a))/(a*f*g*n*log(F))","A",0
50,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)/(d*x+c),x, algorithm=""giac"")","\int \frac{1}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/(((F^((f*x + e)*g))^n*b + a)*(d*x + c)), x)","F",0
51,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{1}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)} {\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(1/(((F^((f*x + e)*g))^n*b + a)*(d*x + c)^2), x)","F",0
52,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^3/((F^((f*x + e)*g))^n*b + a)^2, x)","F",0
53,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^2/((F^((f*x + e)*g))^n*b + a)^2, x)","F",0
54,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""giac"")","\int \frac{d x + c}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)/((F^((f*x + e)*g))^n*b + a)^2, x)","F",0
55,1,111,0,0.414623," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""giac"")","\frac{\log\left({\left| F \right|}^{f g n x} {\left| F \right|}^{g n e}\right)}{a^{2} f g n \log\left(F\right)} - \frac{\log\left({\left| F^{f g n x} F^{g n e} b + a \right|}\right)}{a^{2} f g n \log\left(F\right)} + \frac{1}{{\left(F^{f g n x} F^{g n e} b + a\right)} a f g n \log\left(F\right)}"," ",0,"log(abs(F)^(f*g*n*x)*abs(F)^(g*n*e))/(a^2*f*g*n*log(F)) - log(abs(F^(f*g*n*x)*F^(g*n*e)*b + a))/(a^2*f*g*n*log(F)) + 1/((F^(f*g*n*x)*F^(g*n*e)*b + a)*a*f*g*n*log(F))","A",0
56,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^2/(d*x+c),x, algorithm=""giac"")","\int \frac{1}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{2} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/(((F^((f*x + e)*g))^n*b + a)^2*(d*x + c)), x)","F",0
57,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^2/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{1}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{2} {\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(1/(((F^((f*x + e)*g))^n*b + a)^2*(d*x + c)^2), x)","F",0
58,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*(F^(g*(f*x+e)))^n)^3,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{3}}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*x + c)^3/((F^((f*x + e)*g))^n*b + a)^3, x)","F",0
59,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*(F^(g*(f*x+e)))^n)^3,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{2}}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*x + c)^2/((F^((f*x + e)*g))^n*b + a)^3, x)","F",0
60,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*(F^(g*(f*x+e)))^n)^3,x, algorithm=""giac"")","\int \frac{d x + c}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*x + c)/((F^((f*x + e)*g))^n*b + a)^3, x)","F",0
61,1,136,0,0.382200," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^3,x, algorithm=""giac"")","\frac{\log\left({\left| F \right|}^{f g n x} {\left| F \right|}^{g n e}\right)}{a^{3} f g n \log\left(F\right)} - \frac{\log\left({\left| F^{f g n x} F^{g n e} b + a \right|}\right)}{a^{3} f g n \log\left(F\right)} + \frac{2 \, F^{f g n x} F^{g n e} a b + 3 \, a^{2}}{2 \, {\left(F^{f g n x} F^{g n e} b + a\right)}^{2} a^{3} f g n \log\left(F\right)}"," ",0,"log(abs(F)^(f*g*n*x)*abs(F)^(g*n*e))/(a^3*f*g*n*log(F)) - log(abs(F^(f*g*n*x)*F^(g*n*e)*b + a))/(a^3*f*g*n*log(F)) + 1/2*(2*F^(f*g*n*x)*F^(g*n*e)*a*b + 3*a^2)/((F^(f*g*n*x)*F^(g*n*e)*b + a)^2*a^3*f*g*n*log(F))","A",0
62,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^3/(d*x+c),x, algorithm=""giac"")","\int \frac{1}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{3} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/(((F^((f*x + e)*g))^n*b + a)^3*(d*x + c)), x)","F",0
63,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^3/(d*x+c)^2,x, algorithm=""giac"")","\int \frac{1}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{3} {\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(1/(((F^((f*x + e)*g))^n*b + a)^3*(d*x + c)^2), x)","F",0
64,1,132,0,0.336681," ","integrate((a+b*exp(x))*(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{\frac{6 \, \sqrt{\pi} b c d \operatorname{erf}\left(-\frac{\sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{c}{d}\right)}}{\sqrt{-d}} - 12 \, \sqrt{d x + c} a c - 4 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a - 3 \, {\left(\frac{\sqrt{\pi} {\left(2 \, c + d\right)} d \operatorname{erf}\left(-\frac{\sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{c}{d}\right)}}{\sqrt{-d}} + 2 \, \sqrt{d x + c} d e^{x}\right)} b}{6 \, d}"," ",0,"-1/6*(6*sqrt(pi)*b*c*d*erf(-sqrt(d*x + c)*sqrt(-d)/d)*e^(-c/d)/sqrt(-d) - 12*sqrt(d*x + c)*a*c - 4*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a - 3*(sqrt(pi)*(2*c + d)*d*erf(-sqrt(d*x + c)*sqrt(-d)/d)*e^(-c/d)/sqrt(-d) + 2*sqrt(d*x + c)*d*e^x)*b)/d","B",0
65,1,250,0,0.418049," ","integrate((a+b*exp(x))^2*(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{\frac{12 \, \sqrt{2} \sqrt{\pi} b^{2} c d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{2 \, c}{d}\right)}}{\sqrt{-d}} + \frac{48 \, \sqrt{\pi} a b c d \operatorname{erf}\left(-\frac{\sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{c}{d}\right)}}{\sqrt{-d}} - 48 \, \sqrt{d x + c} a^{2} c - 16 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{2} - 24 \, {\left(\frac{\sqrt{\pi} {\left(2 \, c + d\right)} d \operatorname{erf}\left(-\frac{\sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{c}{d}\right)}}{\sqrt{-d}} + 2 \, \sqrt{d x + c} d e^{x}\right)} a b - 3 \, {\left(\frac{\sqrt{2} \sqrt{\pi} {\left(4 \, c + d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{2 \, c}{d}\right)}}{\sqrt{-d}} + 4 \, \sqrt{d x + c} d e^{\left(2 \, x\right)}\right)} b^{2}}{24 \, d}"," ",0,"-1/24*(12*sqrt(2)*sqrt(pi)*b^2*c*d*erf(-sqrt(2)*sqrt(d*x + c)*sqrt(-d)/d)*e^(-2*c/d)/sqrt(-d) + 48*sqrt(pi)*a*b*c*d*erf(-sqrt(d*x + c)*sqrt(-d)/d)*e^(-c/d)/sqrt(-d) - 48*sqrt(d*x + c)*a^2*c - 16*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^2 - 24*(sqrt(pi)*(2*c + d)*d*erf(-sqrt(d*x + c)*sqrt(-d)/d)*e^(-c/d)/sqrt(-d) + 2*sqrt(d*x + c)*d*e^x)*a*b - 3*(sqrt(2)*sqrt(pi)*(4*c + d)*d*erf(-sqrt(2)*sqrt(d*x + c)*sqrt(-d)/d)*e^(-2*c/d)/sqrt(-d) + 4*sqrt(d*x + c)*d*e^(2*x))*b^2)/d","B",0
66,1,368,0,0.527488," ","integrate((a+b*exp(x))^3*(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{\frac{108 \, \sqrt{2} \sqrt{\pi} a b^{2} c d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{2 \, c}{d}\right)}}{\sqrt{-d}} + \frac{24 \, \sqrt{3} \sqrt{\pi} b^{3} c d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{3 \, c}{d}\right)}}{\sqrt{-d}} + \frac{216 \, \sqrt{\pi} a^{2} b c d \operatorname{erf}\left(-\frac{\sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{c}{d}\right)}}{\sqrt{-d}} - 144 \, \sqrt{d x + c} a^{3} c - 48 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} - 3 \, \sqrt{d x + c} c\right)} a^{3} - 108 \, {\left(\frac{\sqrt{\pi} {\left(2 \, c + d\right)} d \operatorname{erf}\left(-\frac{\sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{c}{d}\right)}}{\sqrt{-d}} + 2 \, \sqrt{d x + c} d e^{x}\right)} a^{2} b - 27 \, {\left(\frac{\sqrt{2} \sqrt{\pi} {\left(4 \, c + d\right)} d \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{2 \, c}{d}\right)}}{\sqrt{-d}} + 4 \, \sqrt{d x + c} d e^{\left(2 \, x\right)}\right)} a b^{2} - 4 \, {\left(\frac{\sqrt{3} \sqrt{\pi} {\left(6 \, c + d\right)} d \operatorname{erf}\left(-\frac{\sqrt{3} \sqrt{d x + c} \sqrt{-d}}{d}\right) e^{\left(-\frac{3 \, c}{d}\right)}}{\sqrt{-d}} + 6 \, \sqrt{d x + c} d e^{\left(3 \, x\right)}\right)} b^{3}}{72 \, d}"," ",0,"-1/72*(108*sqrt(2)*sqrt(pi)*a*b^2*c*d*erf(-sqrt(2)*sqrt(d*x + c)*sqrt(-d)/d)*e^(-2*c/d)/sqrt(-d) + 24*sqrt(3)*sqrt(pi)*b^3*c*d*erf(-sqrt(3)*sqrt(d*x + c)*sqrt(-d)/d)*e^(-3*c/d)/sqrt(-d) + 216*sqrt(pi)*a^2*b*c*d*erf(-sqrt(d*x + c)*sqrt(-d)/d)*e^(-c/d)/sqrt(-d) - 144*sqrt(d*x + c)*a^3*c - 48*((d*x + c)^(3/2) - 3*sqrt(d*x + c)*c)*a^3 - 108*(sqrt(pi)*(2*c + d)*d*erf(-sqrt(d*x + c)*sqrt(-d)/d)*e^(-c/d)/sqrt(-d) + 2*sqrt(d*x + c)*d*e^x)*a^2*b - 27*(sqrt(2)*sqrt(pi)*(4*c + d)*d*erf(-sqrt(2)*sqrt(d*x + c)*sqrt(-d)/d)*e^(-2*c/d)/sqrt(-d) + 4*sqrt(d*x + c)*d*e^(2*x))*a*b^2 - 4*(sqrt(3)*sqrt(pi)*(6*c + d)*d*erf(-sqrt(3)*sqrt(d*x + c)*sqrt(-d)/d)*e^(-3*c/d)/sqrt(-d) + 6*sqrt(d*x + c)*d*e^(3*x))*b^3)/d","B",0
67,0,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(a+b*exp(x)),x, algorithm=""giac"")","\int \frac{\sqrt{d x + c}}{b e^{x} + a}\,{d x}"," ",0,"integrate(sqrt(d*x + c)/(b*e^x + a), x)","F",0
68,0,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(a+b*exp(x))^2,x, algorithm=""giac"")","\int \frac{\sqrt{d x + c}}{{\left(b e^{x} + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x + c)/(b*e^x + a)^2, x)","F",0
69,0,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(a+b*exp(x))^3,x, algorithm=""giac"")","\int \frac{\sqrt{d x + c}}{{\left(b e^{x} + a\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(d*x + c)/(b*e^x + a)^3, x)","F",0
70,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3*(d*x+c)^m,x, algorithm=""giac"")","\int {\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{3} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)^3*(d*x + c)^m, x)","F",0
71,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2*(d*x+c)^m,x, algorithm=""giac"")","\int {\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{2} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)^2*(d*x + c)^m, x)","F",0
72,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)*(d*x+c)^m,x, algorithm=""giac"")","\int {\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)*(d*x + c)^m, x)","F",0
73,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+b*(F^(g*(f*x+e)))^n),x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^m/((F^((f*x + e)*g))^n*b + a), x)","F",0
74,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""giac"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x + c)^m/((F^((f*x + e)*g))^n*b + a)^2, x)","F",0
75,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^p*(d*x+c)^m,x, algorithm=""giac"")","\int {\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{p} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)^p*(d*x + c)^m, x)","F",0
76,0,0,0,0.000000," ","integrate(F^(d*x+c)*x^3/(a+b*F^(d*x+c)),x, algorithm=""giac"")","\int \frac{F^{d x + c} x^{3}}{F^{d x + c} b + a}\,{d x}"," ",0,"integrate(F^(d*x + c)*x^3/(F^(d*x + c)*b + a), x)","F",0
77,0,0,0,0.000000," ","integrate(F^(d*x+c)*x^2/(a+b*F^(d*x+c)),x, algorithm=""giac"")","\int \frac{F^{d x + c} x^{2}}{F^{d x + c} b + a}\,{d x}"," ",0,"integrate(F^(d*x + c)*x^2/(F^(d*x + c)*b + a), x)","F",0
78,0,0,0,0.000000," ","integrate(F^(d*x+c)*x/(a+b*F^(d*x+c)),x, algorithm=""giac"")","\int \frac{F^{d x + c} x}{F^{d x + c} b + a}\,{d x}"," ",0,"integrate(F^(d*x + c)*x/(F^(d*x + c)*b + a), x)","F",0
79,1,24,0,0.421320," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c)),x, algorithm=""giac"")","\frac{\log\left({\left| F^{d x + c} b + a \right|}\right)}{b d \log\left(F\right)}"," ",0,"log(abs(F^(d*x + c)*b + a))/(b*d*log(F))","A",0
80,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))/x,x, algorithm=""giac"")","\int \frac{F^{d x + c}}{{\left(F^{d x + c} b + a\right)} x}\,{d x}"," ",0,"integrate(F^(d*x + c)/((F^(d*x + c)*b + a)*x), x)","F",0
81,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))/x^2,x, algorithm=""giac"")","\int \frac{F^{d x + c}}{{\left(F^{d x + c} b + a\right)} x^{2}}\,{d x}"," ",0,"integrate(F^(d*x + c)/((F^(d*x + c)*b + a)*x^2), x)","F",0
82,0,0,0,0.000000," ","integrate(F^(d*x+c)*x^3/(a+b*F^(d*x+c))^2,x, algorithm=""giac"")","\int \frac{F^{d x + c} x^{3}}{{\left(F^{d x + c} b + a\right)}^{2}}\,{d x}"," ",0,"integrate(F^(d*x + c)*x^3/(F^(d*x + c)*b + a)^2, x)","F",0
83,0,0,0,0.000000," ","integrate(F^(d*x+c)*x^2/(a+b*F^(d*x+c))^2,x, algorithm=""giac"")","\int \frac{F^{d x + c} x^{2}}{{\left(F^{d x + c} b + a\right)}^{2}}\,{d x}"," ",0,"integrate(F^(d*x + c)*x^2/(F^(d*x + c)*b + a)^2, x)","F",0
84,0,0,0,0.000000," ","integrate(F^(d*x+c)*x/(a+b*F^(d*x+c))^2,x, algorithm=""giac"")","\int \frac{F^{d x + c} x}{{\left(F^{d x + c} b + a\right)}^{2}}\,{d x}"," ",0,"integrate(F^(d*x + c)*x/(F^(d*x + c)*b + a)^2, x)","F",0
85,1,26,0,0.315826," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^2,x, algorithm=""giac"")","-\frac{1}{{\left(F^{d x} F^{c} b + a\right)} b d \log\left(F\right)}"," ",0,"-1/((F^(d*x)*F^c*b + a)*b*d*log(F))","A",0
86,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^2/x,x, algorithm=""giac"")","\int \frac{F^{d x + c}}{{\left(F^{d x + c} b + a\right)}^{2} x}\,{d x}"," ",0,"integrate(F^(d*x + c)/((F^(d*x + c)*b + a)^2*x), x)","F",0
87,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^2/x^2,x, algorithm=""giac"")","\int \frac{F^{d x + c}}{{\left(F^{d x + c} b + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(F^(d*x + c)/((F^(d*x + c)*b + a)^2*x^2), x)","F",0
88,0,0,0,0.000000," ","integrate(F^(d*x+c)*x^3/(a+b*F^(d*x+c))^3,x, algorithm=""giac"")","\int \frac{F^{d x + c} x^{3}}{{\left(F^{d x + c} b + a\right)}^{3}}\,{d x}"," ",0,"integrate(F^(d*x + c)*x^3/(F^(d*x + c)*b + a)^3, x)","F",0
89,0,0,0,0.000000," ","integrate(F^(d*x+c)*x^2/(a+b*F^(d*x+c))^3,x, algorithm=""giac"")","\int \frac{F^{d x + c} x^{2}}{{\left(F^{d x + c} b + a\right)}^{3}}\,{d x}"," ",0,"integrate(F^(d*x + c)*x^2/(F^(d*x + c)*b + a)^3, x)","F",0
90,0,0,0,0.000000," ","integrate(F^(d*x+c)*x/(a+b*F^(d*x+c))^3,x, algorithm=""giac"")","\int \frac{F^{d x + c} x}{{\left(F^{d x + c} b + a\right)}^{3}}\,{d x}"," ",0,"integrate(F^(d*x + c)*x/(F^(d*x + c)*b + a)^3, x)","F",0
91,1,26,0,0.325301," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^3,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(F^{d x} F^{c} b + a\right)}^{2} b d \log\left(F\right)}"," ",0,"-1/2/((F^(d*x)*F^c*b + a)^2*b*d*log(F))","A",0
92,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^3/x,x, algorithm=""giac"")","\int \frac{F^{d x + c}}{{\left(F^{d x + c} b + a\right)}^{3} x}\,{d x}"," ",0,"integrate(F^(d*x + c)/((F^(d*x + c)*b + a)^3*x), x)","F",0
93,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^3/x^2,x, algorithm=""giac"")","\int \frac{F^{d x + c}}{{\left(F^{d x + c} b + a\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(F^(d*x + c)/((F^(d*x + c)*b + a)^3*x^2), x)","F",0
