1,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(a+a*sin(f*x+e))^3*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{3} \left(d \sin\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^3*(d*sin(f*x + e))^n, x)","F",0
2,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(a+a*sin(f*x+e))^2*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{2} \left(d \sin\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^2*(d*sin(f*x + e))^n, x)","F",0
3,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(a+a*sin(f*x+e))*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)} \left(d \sin\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)*(d*sin(f*x + e))^n, x)","F",0
4,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(A+B*sin(f*x+e))/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} \left(d \sin\left(f x + e\right)\right)^{n}}{a \sin\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e))^n/(a*sin(f*x + e) + a), x)","F",0
5,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} \left(d \sin\left(f x + e\right)\right)^{n}}{{\left(a \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e))^n/(a*sin(f*x + e) + a)^2, x)","F",0
6,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} \left(d \sin\left(f x + e\right)\right)^{n}}{{\left(a \sin\left(f x + e\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e))^n/(a*sin(f*x + e) + a)^3, x)","F",0
7,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{\frac{5}{2}} \left(d \sin\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^(5/2)*(d*sin(f*x + e))^n, x)","F",0
8,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}} \left(d \sin\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^(3/2)*(d*sin(f*x + e))^n, x)","F",0
9,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(a+a*sin(f*x+e))^(1/2)*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} \sqrt{a \sin\left(f x + e\right) + a} \left(d \sin\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*sqrt(a*sin(f*x + e) + a)*(d*sin(f*x + e))^n, x)","F",0
10,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} \left(d \sin\left(f x + e\right)\right)^{n}}{\sqrt{a \sin\left(f x + e\right) + a}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e))^n/sqrt(a*sin(f*x + e) + a), x)","F",0
11,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} \left(d \sin\left(f x + e\right)\right)^{n}}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e))^n/(a*sin(f*x + e) + a)^(3/2), x)","F",0
12,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} \left(d \sin\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m*(d*sin(f*x + e))^n, x)","F",0
13,0,0,0,0.000000," ","integrate((d*sin(f*x+e))^n*(a-a*sin(f*x+e))*(a+a*sin(f*x+e))^m,x, algorithm=""giac"")","\int -{\left(a \sin\left(f x + e\right) - a\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} \left(d \sin\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate(-(a*sin(f*x + e) - a)*(a*sin(f*x + e) + a)^m*(d*sin(f*x + e))^n, x)","F",0
14,-1,0,0,0.000000," ","integrate(sin(d*x+c)^n*(a+a*sin(d*x+c))^(-2-n)*(-1-n-(-2-n)*sin(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,1,5502,0,64.010718," ","integrate(sin(d*x+c)^(-2-m)*(a+a*sin(d*x+c))^m*(1+m-m*sin(d*x+c)),x, algorithm=""giac"")","-\frac{8 \, {\left(\cos\left(2 \, \pi m \left \lfloor -\frac{1}{8} \, \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) + \frac{5}{8} \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) - \frac{1}{4} \, \pi m\right) e^{\left(m \log\left(\frac{\sqrt{2} \sqrt{{\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|}} {\left| a \right|}}{\tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \tan\left(d x + c\right)^{2} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - m \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - 2 \, \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right)\right)} \tan\left(-\frac{1}{2} \, \pi + \frac{1}{4} \, \pi m \mathrm{sgn}\left(2 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, a\right) \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m + \pi \left \lfloor \frac{d x}{\pi} + \frac{c}{\pi} + \frac{1}{2} \right \rfloor\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 2 \, e^{\left(m \log\left(\frac{\sqrt{2} \sqrt{{\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|}} {\left| a \right|}}{\tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \tan\left(d x + c\right)^{2} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - m \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - 2 \, \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right)\right)} \sin\left(2 \, \pi m \left \lfloor -\frac{1}{8} \, \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) + \frac{5}{8} \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) - \frac{1}{4} \, \pi m\right) \tan\left(-\frac{1}{2} \, \pi + \frac{1}{4} \, \pi m \mathrm{sgn}\left(2 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, a\right) \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m + \pi \left \lfloor \frac{d x}{\pi} + \frac{c}{\pi} + \frac{1}{2} \right \rfloor\right) \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - \cos\left(2 \, \pi m \left \lfloor -\frac{1}{8} \, \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) + \frac{5}{8} \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) - \frac{1}{4} \, \pi m\right) e^{\left(m \log\left(\frac{\sqrt{2} \sqrt{{\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|}} {\left| a \right|}}{\tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \tan\left(d x + c\right)^{2} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - m \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - 2 \, \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right)\right)} \tan\left(-\frac{1}{2} \, \pi + \frac{1}{4} \, \pi m \mathrm{sgn}\left(2 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, a\right) \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m + \pi \left \lfloor \frac{d x}{\pi} + \frac{c}{\pi} + \frac{1}{2} \right \rfloor\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - \cos\left(2 \, \pi m \left \lfloor -\frac{1}{8} \, \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) + \frac{5}{8} \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) - \frac{1}{4} \, \pi m\right) e^{\left(m \log\left(\frac{\sqrt{2} \sqrt{{\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|}} {\left| a \right|}}{\tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \tan\left(d x + c\right)^{2} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - m \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - 2 \, \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right)\right)} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 2 \, e^{\left(m \log\left(\frac{\sqrt{2} \sqrt{{\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|}} {\left| a \right|}}{\tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \tan\left(d x + c\right)^{2} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - m \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - 2 \, \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right)\right)} \sin\left(2 \, \pi m \left \lfloor -\frac{1}{8} \, \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) + \frac{5}{8} \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) - \frac{1}{4} \, \pi m\right) \tan\left(-\frac{1}{2} \, \pi + \frac{1}{4} \, \pi m \mathrm{sgn}\left(2 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, a\right) \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m + \pi \left \lfloor \frac{d x}{\pi} + \frac{c}{\pi} + \frac{1}{2} \right \rfloor\right) \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + \cos\left(2 \, \pi m \left \lfloor -\frac{1}{8} \, \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) + \frac{5}{8} \right \rfloor + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2\right) - \frac{1}{4} \, \pi m\right) e^{\left(m \log\left(\frac{\sqrt{2} \sqrt{{\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(d x + c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + {\left| 4 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, \tan\left(d x + c\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \right|}} {\left| a \right|}}{\tan\left(d x + c\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + \tan\left(d x + c\right)^{2} + \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - m \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right) - 2 \, \log\left(\frac{4 \, {\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}\right)\right)} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{d \tan\left(-\frac{1}{2} \, \pi + \frac{1}{4} \, \pi m \mathrm{sgn}\left(2 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, a\right) \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m + \pi \left \lfloor \frac{d x}{\pi} + \frac{c}{\pi} + \frac{1}{2} \right \rfloor\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 2 \, d \tan\left(-\frac{1}{2} \, \pi + \frac{1}{4} \, \pi m \mathrm{sgn}\left(2 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, a\right) \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m + \pi \left \lfloor \frac{d x}{\pi} + \frac{c}{\pi} + \frac{1}{2} \right \rfloor\right)^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + d \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + d \tan\left(-\frac{1}{2} \, \pi + \frac{1}{4} \, \pi m \mathrm{sgn}\left(2 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, a\right) \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{1}{4} \, \pi m \mathrm{sgn}\left(4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 \, a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{2} \, \pi \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{1}{4} \, \pi m + \pi \left \lfloor \frac{d x}{\pi} + \frac{c}{\pi} + \frac{1}{2} \right \rfloor\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + d}"," ",0,"-8*(cos(2*pi*m*floor(-1/8*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) + 5/8) + 1/4*pi*m*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) - 1/4*pi*m)*e^(m*log(sqrt(2)*sqrt(abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2))*abs(a)/(tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + tan(d*x + c)^2 + tan(1/2*d*x + 1/2*c)^2 + 1)) - m*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)) - 2*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)))*tan(-1/2*pi + 1/4*pi*m*sgn(2*a*tan(1/2*d*x + 1/2*c)^4 + 4*a*tan(1/2*d*x + 1/2*c)^3 - 4*a*tan(1/2*d*x + 1/2*c) - 2*a)*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/4*pi*m*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) + 1/4*pi*m*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/2*pi*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) - 1/4*pi*m + pi*floor(d*x/pi + c/pi + 1/2))^2*tan(1/2*d*x + 1/2*c)^3 - 2*e^(m*log(sqrt(2)*sqrt(abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2))*abs(a)/(tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + tan(d*x + c)^2 + tan(1/2*d*x + 1/2*c)^2 + 1)) - m*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)) - 2*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)))*sin(2*pi*m*floor(-1/8*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) + 5/8) + 1/4*pi*m*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) - 1/4*pi*m)*tan(-1/2*pi + 1/4*pi*m*sgn(2*a*tan(1/2*d*x + 1/2*c)^4 + 4*a*tan(1/2*d*x + 1/2*c)^3 - 4*a*tan(1/2*d*x + 1/2*c) - 2*a)*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/4*pi*m*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) + 1/4*pi*m*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/2*pi*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) - 1/4*pi*m + pi*floor(d*x/pi + c/pi + 1/2))*tan(1/2*d*x + 1/2*c)^3 - cos(2*pi*m*floor(-1/8*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) + 5/8) + 1/4*pi*m*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) - 1/4*pi*m)*e^(m*log(sqrt(2)*sqrt(abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2))*abs(a)/(tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + tan(d*x + c)^2 + tan(1/2*d*x + 1/2*c)^2 + 1)) - m*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)) - 2*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)))*tan(-1/2*pi + 1/4*pi*m*sgn(2*a*tan(1/2*d*x + 1/2*c)^4 + 4*a*tan(1/2*d*x + 1/2*c)^3 - 4*a*tan(1/2*d*x + 1/2*c) - 2*a)*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/4*pi*m*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) + 1/4*pi*m*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/2*pi*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) - 1/4*pi*m + pi*floor(d*x/pi + c/pi + 1/2))^2*tan(1/2*d*x + 1/2*c) - cos(2*pi*m*floor(-1/8*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) + 5/8) + 1/4*pi*m*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) - 1/4*pi*m)*e^(m*log(sqrt(2)*sqrt(abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2))*abs(a)/(tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + tan(d*x + c)^2 + tan(1/2*d*x + 1/2*c)^2 + 1)) - m*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)) - 2*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)))*tan(1/2*d*x + 1/2*c)^3 + 2*e^(m*log(sqrt(2)*sqrt(abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2))*abs(a)/(tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + tan(d*x + c)^2 + tan(1/2*d*x + 1/2*c)^2 + 1)) - m*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)) - 2*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)))*sin(2*pi*m*floor(-1/8*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) + 5/8) + 1/4*pi*m*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) - 1/4*pi*m)*tan(-1/2*pi + 1/4*pi*m*sgn(2*a*tan(1/2*d*x + 1/2*c)^4 + 4*a*tan(1/2*d*x + 1/2*c)^3 - 4*a*tan(1/2*d*x + 1/2*c) - 2*a)*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/4*pi*m*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) + 1/4*pi*m*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/2*pi*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) - 1/4*pi*m + pi*floor(d*x/pi + c/pi + 1/2))*tan(1/2*d*x + 1/2*c) + cos(2*pi*m*floor(-1/8*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) + 5/8) + 1/4*pi*m*sgn(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2) - 1/4*pi*m)*e^(m*log(sqrt(2)*sqrt(abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(d*x + c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2)*tan(1/2*d*x + 1/2*c)^2 + abs(4*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(d*x + c)^2*tan(1/2*d*x + 1/2*c) + 4*tan(d*x + c)^2 + 2*tan(1/2*d*x + 1/2*c)^2 + 8*tan(1/2*d*x + 1/2*c) + 2))*abs(a)/(tan(d*x + c)^2*tan(1/2*d*x + 1/2*c)^2 + tan(d*x + c)^2 + tan(1/2*d*x + 1/2*c)^2 + 1)) - m*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)) - 2*log(4*abs(tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)))*tan(1/2*d*x + 1/2*c))/(d*tan(-1/2*pi + 1/4*pi*m*sgn(2*a*tan(1/2*d*x + 1/2*c)^4 + 4*a*tan(1/2*d*x + 1/2*c)^3 - 4*a*tan(1/2*d*x + 1/2*c) - 2*a)*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/4*pi*m*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) + 1/4*pi*m*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/2*pi*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) - 1/4*pi*m + pi*floor(d*x/pi + c/pi + 1/2))^2*tan(1/2*d*x + 1/2*c)^4 + 2*d*tan(-1/2*pi + 1/4*pi*m*sgn(2*a*tan(1/2*d*x + 1/2*c)^4 + 4*a*tan(1/2*d*x + 1/2*c)^3 - 4*a*tan(1/2*d*x + 1/2*c) - 2*a)*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/4*pi*m*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) + 1/4*pi*m*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/2*pi*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) - 1/4*pi*m + pi*floor(d*x/pi + c/pi + 1/2))^2*tan(1/2*d*x + 1/2*c)^2 + d*tan(1/2*d*x + 1/2*c)^4 + d*tan(-1/2*pi + 1/4*pi*m*sgn(2*a*tan(1/2*d*x + 1/2*c)^4 + 4*a*tan(1/2*d*x + 1/2*c)^3 - 4*a*tan(1/2*d*x + 1/2*c) - 2*a)*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/4*pi*m*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) + 1/4*pi*m*sgn(4*a*tan(1/2*d*x + 1/2*c)^3 + 8*a*tan(1/2*d*x + 1/2*c)^2 + 4*a*tan(1/2*d*x + 1/2*c)) - 1/2*pi*sgn(tan(1/2*d*x + 1/2*c)^2 - 1)*sgn(tan(1/2*d*x + 1/2*c)) - 1/4*pi*m + pi*floor(d*x/pi + c/pi + 1/2))^2 + 2*d*tan(1/2*d*x + 1/2*c)^2 + d)","B",0
16,1,371,0,0.177043," ","integrate(sin(f*x+e)^2*(A+B*sin(f*x+e))/(a+b*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(2 \, B a^{4} - A a^{3} b - 3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(a\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + b}{\sqrt{a^{2} - b^{2}}}\right)\right)}}{{\left(a^{2} b^{3} - b^{5}\right)} \sqrt{a^{2} - b^{2}}} - \frac{2 \, {\left(B a^{2} b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - A a b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - A a^{2} b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B a b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B a^{2} b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - A a b^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 2 \, B b^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, B a^{3} - A a^{2} b - B a b^{2}\right)}}{{\left(a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 2 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, b \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + a\right)} {\left(a^{2} b^{2} - b^{4}\right)}} - \frac{{\left(2 \, B a - A b\right)} {\left(f x + e\right)}}{b^{3}}}{f}"," ",0,"(2*(2*B*a^4 - A*a^3*b - 3*B*a^2*b^2 + 2*A*a*b^3)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(a) + arctan((a*tan(1/2*f*x + 1/2*e) + b)/sqrt(a^2 - b^2)))/((a^2*b^3 - b^5)*sqrt(a^2 - b^2)) - 2*(B*a^2*b*tan(1/2*f*x + 1/2*e)^3 - A*a*b^2*tan(1/2*f*x + 1/2*e)^3 + 2*B*a^3*tan(1/2*f*x + 1/2*e)^2 - A*a^2*b*tan(1/2*f*x + 1/2*e)^2 - B*a*b^2*tan(1/2*f*x + 1/2*e)^2 + 3*B*a^2*b*tan(1/2*f*x + 1/2*e) - A*a*b^2*tan(1/2*f*x + 1/2*e) - 2*B*b^3*tan(1/2*f*x + 1/2*e) + 2*B*a^3 - A*a^2*b - B*a*b^2)/((a*tan(1/2*f*x + 1/2*e)^4 + 2*b*tan(1/2*f*x + 1/2*e)^3 + 2*a*tan(1/2*f*x + 1/2*e)^2 + 2*b*tan(1/2*f*x + 1/2*e) + a)*(a^2*b^2 - b^4)) - (2*B*a - A*b)*(f*x + e)/b^3)/f","B",0
17,1,184,0,0.171825," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^4,x, algorithm=""giac"")","-\frac{B a c^{4} \sin\left(6 \, f x + 6 \, e\right)}{192 \, f} + \frac{7}{16} \, {\left(2 \, A a c^{4} - B a c^{4}\right)} x - \frac{{\left(A a c^{4} - 3 \, B a c^{4}\right)} \cos\left(5 \, f x + 5 \, e\right)}{80 \, f} + \frac{{\left(13 \, A a c^{4} - 7 \, B a c^{4}\right)} \cos\left(3 \, f x + 3 \, e\right)}{48 \, f} + \frac{{\left(7 \, A a c^{4} - 5 \, B a c^{4}\right)} \cos\left(f x + e\right)}{8 \, f} - \frac{{\left(6 \, A a c^{4} - 7 \, B a c^{4}\right)} \sin\left(4 \, f x + 4 \, e\right)}{64 \, f} + \frac{{\left(16 \, A a c^{4} + B a c^{4}\right)} \sin\left(2 \, f x + 2 \, e\right)}{64 \, f}"," ",0,"-1/192*B*a*c^4*sin(6*f*x + 6*e)/f + 7/16*(2*A*a*c^4 - B*a*c^4)*x - 1/80*(A*a*c^4 - 3*B*a*c^4)*cos(5*f*x + 5*e)/f + 1/48*(13*A*a*c^4 - 7*B*a*c^4)*cos(3*f*x + 3*e)/f + 1/8*(7*A*a*c^4 - 5*B*a*c^4)*cos(f*x + e)/f - 1/64*(6*A*a*c^4 - 7*B*a*c^4)*sin(4*f*x + 4*e)/f + 1/64*(16*A*a*c^4 + B*a*c^4)*sin(2*f*x + 2*e)/f","A",0
18,1,145,0,0.178811," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{B a c^{3} \cos\left(5 \, f x + 5 \, e\right)}{80 \, f} + \frac{A a c^{3} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f} + \frac{1}{8} \, {\left(5 \, A a c^{3} - 2 \, B a c^{3}\right)} x + \frac{{\left(8 \, A a c^{3} - 5 \, B a c^{3}\right)} \cos\left(3 \, f x + 3 \, e\right)}{48 \, f} + \frac{{\left(4 \, A a c^{3} - 3 \, B a c^{3}\right)} \cos\left(f x + e\right)}{8 \, f} - \frac{{\left(A a c^{3} - 2 \, B a c^{3}\right)} \sin\left(4 \, f x + 4 \, e\right)}{32 \, f}"," ",0,"1/80*B*a*c^3*cos(5*f*x + 5*e)/f + 1/4*A*a*c^3*sin(2*f*x + 2*e)/f + 1/8*(5*A*a*c^3 - 2*B*a*c^3)*x + 1/48*(8*A*a*c^3 - 5*B*a*c^3)*cos(3*f*x + 3*e)/f + 1/8*(4*A*a*c^3 - 3*B*a*c^3)*cos(f*x + e)/f - 1/32*(A*a*c^3 - 2*B*a*c^3)*sin(4*f*x + 4*e)/f","A",0
19,1,114,0,0.142688," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{B a c^{2} \sin\left(4 \, f x + 4 \, e\right)}{32 \, f} + \frac{A a c^{2} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f} + \frac{1}{8} \, {\left(4 \, A a c^{2} - B a c^{2}\right)} x + \frac{{\left(A a c^{2} - B a c^{2}\right)} \cos\left(3 \, f x + 3 \, e\right)}{12 \, f} + \frac{{\left(A a c^{2} - B a c^{2}\right)} \cos\left(f x + e\right)}{4 \, f}"," ",0,"1/32*B*a*c^2*sin(4*f*x + 4*e)/f + 1/4*A*a*c^2*sin(2*f*x + 2*e)/f + 1/8*(4*A*a*c^2 - B*a*c^2)*x + 1/12*(A*a*c^2 - B*a*c^2)*cos(3*f*x + 3*e)/f + 1/4*(A*a*c^2 - B*a*c^2)*cos(f*x + e)/f","A",0
20,1,58,0,0.144868," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c-c*sin(f*x+e)),x, algorithm=""giac"")","\frac{1}{2} \, A a c x - \frac{B a c \cos\left(3 \, f x + 3 \, e\right)}{12 \, f} - \frac{B a c \cos\left(f x + e\right)}{4 \, f} + \frac{A a c \sin\left(2 \, f x + 2 \, e\right)}{4 \, f}"," ",0,"1/2*A*a*c*x - 1/12*B*a*c*cos(3*f*x + 3*e)/f - 1/4*B*a*c*cos(f*x + e)/f + 1/4*A*a*c*sin(2*f*x + 2*e)/f","A",0
21,1,124,0,0.153951," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c-c*sin(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{{\left(A a + 2 \, B a\right)} {\left(f x + e\right)}}{c} + \frac{2 \, {\left(2 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A a + 3 \, B a\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)} c}}{f}"," ",0,"-((A*a + 2*B*a)*(f*x + e)/c + 2*(2*A*a*tan(1/2*f*x + 1/2*e)^2 + 2*B*a*tan(1/2*f*x + 1/2*e)^2 - B*a*tan(1/2*f*x + 1/2*e) + 2*A*a + 3*B*a)/((tan(1/2*f*x + 1/2*e)^3 - tan(1/2*f*x + 1/2*e)^2 + tan(1/2*f*x + 1/2*e) - 1)*c))/f","B",0
22,1,92,0,0.148940," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(f x + e\right)} B a}{c^{2}} - \frac{2 \, {\left(3 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 12 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + A a - 5 \, B a\right)}}{c^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{3}}}{3 \, f}"," ",0,"1/3*(3*(f*x + e)*B*a/c^2 - 2*(3*A*a*tan(1/2*f*x + 1/2*e)^2 - 3*B*a*tan(1/2*f*x + 1/2*e)^2 + 12*B*a*tan(1/2*f*x + 1/2*e) + A*a - 5*B*a)/(c^2*(tan(1/2*f*x + 1/2*e) - 1)^3))/f","A",0
23,1,139,0,0.183150," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 15 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 15 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 25 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 5 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 5 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 5 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 4 \, A a - B a\right)}}{15 \, c^{3} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{5}}"," ",0,"-2/15*(15*A*a*tan(1/2*f*x + 1/2*e)^4 - 15*A*a*tan(1/2*f*x + 1/2*e)^3 + 15*B*a*tan(1/2*f*x + 1/2*e)^3 + 25*A*a*tan(1/2*f*x + 1/2*e)^2 + 5*B*a*tan(1/2*f*x + 1/2*e)^2 - 5*A*a*tan(1/2*f*x + 1/2*e) + 5*B*a*tan(1/2*f*x + 1/2*e) + 4*A*a - B*a)/(c^3*f*(tan(1/2*f*x + 1/2*e) - 1)^5)","A",0
24,1,187,0,0.198896," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^4,x, algorithm=""giac"")","-\frac{2 \, {\left(105 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 210 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 105 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 455 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 35 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 350 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 140 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 273 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 56 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 35 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 23 \, A a - 5 \, B a\right)}}{105 \, c^{4} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{7}}"," ",0,"-2/105*(105*A*a*tan(1/2*f*x + 1/2*e)^6 - 210*A*a*tan(1/2*f*x + 1/2*e)^5 + 105*B*a*tan(1/2*f*x + 1/2*e)^5 + 455*A*a*tan(1/2*f*x + 1/2*e)^4 - 35*B*a*tan(1/2*f*x + 1/2*e)^4 - 350*A*a*tan(1/2*f*x + 1/2*e)^3 + 140*B*a*tan(1/2*f*x + 1/2*e)^3 + 273*A*a*tan(1/2*f*x + 1/2*e)^2 - 56*A*a*tan(1/2*f*x + 1/2*e) + 35*B*a*tan(1/2*f*x + 1/2*e) + 23*A*a - 5*B*a)/(c^4*f*(tan(1/2*f*x + 1/2*e) - 1)^7)","A",0
25,1,267,0,0.211430," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^5,x, algorithm=""giac"")","-\frac{2 \, {\left(315 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 945 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 315 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 2625 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 315 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 3465 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 945 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 3843 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 441 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 2247 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 609 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 1143 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 81 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 207 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 99 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 58 \, A a - 11 \, B a\right)}}{315 \, c^{5} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{9}}"," ",0,"-2/315*(315*A*a*tan(1/2*f*x + 1/2*e)^8 - 945*A*a*tan(1/2*f*x + 1/2*e)^7 + 315*B*a*tan(1/2*f*x + 1/2*e)^7 + 2625*A*a*tan(1/2*f*x + 1/2*e)^6 - 315*B*a*tan(1/2*f*x + 1/2*e)^6 - 3465*A*a*tan(1/2*f*x + 1/2*e)^5 + 945*B*a*tan(1/2*f*x + 1/2*e)^5 + 3843*A*a*tan(1/2*f*x + 1/2*e)^4 - 441*B*a*tan(1/2*f*x + 1/2*e)^4 - 2247*A*a*tan(1/2*f*x + 1/2*e)^3 + 609*B*a*tan(1/2*f*x + 1/2*e)^3 + 1143*A*a*tan(1/2*f*x + 1/2*e)^2 - 81*B*a*tan(1/2*f*x + 1/2*e)^2 - 207*A*a*tan(1/2*f*x + 1/2*e) + 99*B*a*tan(1/2*f*x + 1/2*e) + 58*A*a - 11*B*a)/(c^5*f*(tan(1/2*f*x + 1/2*e) - 1)^9)","A",0
26,1,278,0,0.225244," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^5,x, algorithm=""giac"")","-\frac{B a^{2} c^{5} \sin\left(8 \, f x + 8 \, e\right)}{1024 \, f} + \frac{9}{128} \, {\left(8 \, A a^{2} c^{5} - 3 \, B a^{2} c^{5}\right)} x - \frac{{\left(A a^{2} c^{5} - 3 \, B a^{2} c^{5}\right)} \cos\left(7 \, f x + 7 \, e\right)}{448 \, f} + \frac{{\left(11 \, A a^{2} c^{5} - B a^{2} c^{5}\right)} \cos\left(5 \, f x + 5 \, e\right)}{320 \, f} + \frac{{\left(13 \, A a^{2} c^{5} - 7 \, B a^{2} c^{5}\right)} \cos\left(3 \, f x + 3 \, e\right)}{64 \, f} + \frac{{\left(27 \, A a^{2} c^{5} - 17 \, B a^{2} c^{5}\right)} \cos\left(f x + e\right)}{64 \, f} - \frac{{\left(A a^{2} c^{5} - B a^{2} c^{5}\right)} \sin\left(6 \, f x + 6 \, e\right)}{64 \, f} - \frac{{\left(2 \, A a^{2} c^{5} - 7 \, B a^{2} c^{5}\right)} \sin\left(4 \, f x + 4 \, e\right)}{128 \, f} + \frac{{\left(19 \, A a^{2} c^{5} - 3 \, B a^{2} c^{5}\right)} \sin\left(2 \, f x + 2 \, e\right)}{64 \, f}"," ",0,"-1/1024*B*a^2*c^5*sin(8*f*x + 8*e)/f + 9/128*(8*A*a^2*c^5 - 3*B*a^2*c^5)*x - 1/448*(A*a^2*c^5 - 3*B*a^2*c^5)*cos(7*f*x + 7*e)/f + 1/320*(11*A*a^2*c^5 - B*a^2*c^5)*cos(5*f*x + 5*e)/f + 1/64*(13*A*a^2*c^5 - 7*B*a^2*c^5)*cos(3*f*x + 3*e)/f + 1/64*(27*A*a^2*c^5 - 17*B*a^2*c^5)*cos(f*x + e)/f - 1/64*(A*a^2*c^5 - B*a^2*c^5)*sin(6*f*x + 6*e)/f - 1/128*(2*A*a^2*c^5 - 7*B*a^2*c^5)*sin(4*f*x + 4*e)/f + 1/64*(19*A*a^2*c^5 - 3*B*a^2*c^5)*sin(2*f*x + 2*e)/f","A",0
27,1,244,0,0.213629," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^4,x, algorithm=""giac"")","\frac{B a^{2} c^{4} \cos\left(7 \, f x + 7 \, e\right)}{448 \, f} + \frac{1}{16} \, {\left(7 \, A a^{2} c^{4} - 2 \, B a^{2} c^{4}\right)} x + \frac{{\left(8 \, A a^{2} c^{4} - 3 \, B a^{2} c^{4}\right)} \cos\left(5 \, f x + 5 \, e\right)}{320 \, f} + \frac{{\left(8 \, A a^{2} c^{4} - 5 \, B a^{2} c^{4}\right)} \cos\left(3 \, f x + 3 \, e\right)}{64 \, f} + \frac{{\left(16 \, A a^{2} c^{4} - 11 \, B a^{2} c^{4}\right)} \cos\left(f x + e\right)}{64 \, f} - \frac{{\left(A a^{2} c^{4} - 2 \, B a^{2} c^{4}\right)} \sin\left(6 \, f x + 6 \, e\right)}{192 \, f} + \frac{{\left(A a^{2} c^{4} + 2 \, B a^{2} c^{4}\right)} \sin\left(4 \, f x + 4 \, e\right)}{64 \, f} + \frac{{\left(17 \, A a^{2} c^{4} - 2 \, B a^{2} c^{4}\right)} \sin\left(2 \, f x + 2 \, e\right)}{64 \, f}"," ",0,"1/448*B*a^2*c^4*cos(7*f*x + 7*e)/f + 1/16*(7*A*a^2*c^4 - 2*B*a^2*c^4)*x + 1/320*(8*A*a^2*c^4 - 3*B*a^2*c^4)*cos(5*f*x + 5*e)/f + 1/64*(8*A*a^2*c^4 - 5*B*a^2*c^4)*cos(3*f*x + 3*e)/f + 1/64*(16*A*a^2*c^4 - 11*B*a^2*c^4)*cos(f*x + e)/f - 1/192*(A*a^2*c^4 - 2*B*a^2*c^4)*sin(6*f*x + 6*e)/f + 1/64*(A*a^2*c^4 + 2*B*a^2*c^4)*sin(4*f*x + 4*e)/f + 1/64*(17*A*a^2*c^4 - 2*B*a^2*c^4)*sin(2*f*x + 2*e)/f","A",0
28,1,208,0,0.182864," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{B a^{2} c^{3} \sin\left(6 \, f x + 6 \, e\right)}{192 \, f} + \frac{1}{16} \, {\left(6 \, A a^{2} c^{3} - B a^{2} c^{3}\right)} x + \frac{{\left(A a^{2} c^{3} - B a^{2} c^{3}\right)} \cos\left(5 \, f x + 5 \, e\right)}{80 \, f} + \frac{{\left(A a^{2} c^{3} - B a^{2} c^{3}\right)} \cos\left(3 \, f x + 3 \, e\right)}{16 \, f} + \frac{{\left(A a^{2} c^{3} - B a^{2} c^{3}\right)} \cos\left(f x + e\right)}{8 \, f} + \frac{{\left(2 \, A a^{2} c^{3} + B a^{2} c^{3}\right)} \sin\left(4 \, f x + 4 \, e\right)}{64 \, f} + \frac{{\left(16 \, A a^{2} c^{3} - B a^{2} c^{3}\right)} \sin\left(2 \, f x + 2 \, e\right)}{64 \, f}"," ",0,"1/192*B*a^2*c^3*sin(6*f*x + 6*e)/f + 1/16*(6*A*a^2*c^3 - B*a^2*c^3)*x + 1/80*(A*a^2*c^3 - B*a^2*c^3)*cos(5*f*x + 5*e)/f + 1/16*(A*a^2*c^3 - B*a^2*c^3)*cos(3*f*x + 3*e)/f + 1/8*(A*a^2*c^3 - B*a^2*c^3)*cos(f*x + e)/f + 1/64*(2*A*a^2*c^3 + B*a^2*c^3)*sin(4*f*x + 4*e)/f + 1/64*(16*A*a^2*c^3 - B*a^2*c^3)*sin(2*f*x + 2*e)/f","A",0
29,1,118,0,0.153201," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{3}{8} \, A a^{2} c^{2} x - \frac{B a^{2} c^{2} \cos\left(5 \, f x + 5 \, e\right)}{80 \, f} - \frac{B a^{2} c^{2} \cos\left(3 \, f x + 3 \, e\right)}{16 \, f} - \frac{B a^{2} c^{2} \cos\left(f x + e\right)}{8 \, f} + \frac{A a^{2} c^{2} \sin\left(4 \, f x + 4 \, e\right)}{32 \, f} + \frac{A a^{2} c^{2} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f}"," ",0,"3/8*A*a^2*c^2*x - 1/80*B*a^2*c^2*cos(5*f*x + 5*e)/f - 1/16*B*a^2*c^2*cos(3*f*x + 3*e)/f - 1/8*B*a^2*c^2*cos(f*x + e)/f + 1/32*A*a^2*c^2*sin(4*f*x + 4*e)/f + 1/4*A*a^2*c^2*sin(2*f*x + 2*e)/f","A",0
30,1,111,0,0.146705," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c-c*sin(f*x+e)),x, algorithm=""giac"")","-\frac{B a^{2} c \sin\left(4 \, f x + 4 \, e\right)}{32 \, f} + \frac{A a^{2} c \sin\left(2 \, f x + 2 \, e\right)}{4 \, f} + \frac{1}{8} \, {\left(4 \, A a^{2} c + B a^{2} c\right)} x - \frac{{\left(A a^{2} c + B a^{2} c\right)} \cos\left(3 \, f x + 3 \, e\right)}{12 \, f} - \frac{{\left(A a^{2} c + B a^{2} c\right)} \cos\left(f x + e\right)}{4 \, f}"," ",0,"-1/32*B*a^2*c*sin(4*f*x + 4*e)/f + 1/4*A*a^2*c*sin(2*f*x + 2*e)/f + 1/8*(4*A*a^2*c + B*a^2*c)*x - 1/12*(A*a^2*c + B*a^2*c)*cos(3*f*x + 3*e)/f - 1/4*(A*a^2*c + B*a^2*c)*cos(f*x + e)/f","A",0
31,1,163,0,0.176761," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(2 \, A a^{2} + 3 \, B a^{2}\right)} {\left(f x + e\right)}}{c} + \frac{16 \, {\left(A a^{2} + B a^{2}\right)}}{c {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}} + \frac{2 \, {\left(B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 6 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 2 \, A a^{2} - 6 \, B a^{2}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{2} c}}{2 \, f}"," ",0,"-1/2*(3*(2*A*a^2 + 3*B*a^2)*(f*x + e)/c + 16*(A*a^2 + B*a^2)/(c*(tan(1/2*f*x + 1/2*e) - 1)) + 2*(B*a^2*tan(1/2*f*x + 1/2*e)^3 - 2*A*a^2*tan(1/2*f*x + 1/2*e)^2 - 6*B*a^2*tan(1/2*f*x + 1/2*e)^2 - B*a^2*tan(1/2*f*x + 1/2*e) - 2*A*a^2 - 6*B*a^2)/((tan(1/2*f*x + 1/2*e)^2 + 1)^2*c))/f","A",0
32,1,135,0,0.159943," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(A a^{2} + 4 \, B a^{2}\right)} {\left(f x + e\right)}}{c^{2}} - \frac{6 \, B a^{2}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)} c^{2}} + \frac{8 \, {\left(3 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 9 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + A a^{2} + 4 \, B a^{2}\right)}}{c^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{3}}}{3 \, f}"," ",0,"1/3*(3*(A*a^2 + 4*B*a^2)*(f*x + e)/c^2 - 6*B*a^2/((tan(1/2*f*x + 1/2*e)^2 + 1)*c^2) + 8*(3*B*a^2*tan(1/2*f*x + 1/2*e)^2 - 3*A*a^2*tan(1/2*f*x + 1/2*e) - 9*B*a^2*tan(1/2*f*x + 1/2*e) + A*a^2 + 4*B*a^2)/(c^2*(tan(1/2*f*x + 1/2*e) - 1)^3))/f","A",0
33,1,159,0,0.181015," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(f x + e\right)} B a^{2}}{c^{3}} + \frac{2 \, {\left(15 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 15 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 60 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 30 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 170 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 100 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, A a^{2} + 23 \, B a^{2}\right)}}{c^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{5}}}{15 \, f}"," ",0,"-1/15*(15*(f*x + e)*B*a^2/c^3 + 2*(15*A*a^2*tan(1/2*f*x + 1/2*e)^4 + 15*B*a^2*tan(1/2*f*x + 1/2*e)^4 - 60*B*a^2*tan(1/2*f*x + 1/2*e)^3 + 30*A*a^2*tan(1/2*f*x + 1/2*e)^2 + 170*B*a^2*tan(1/2*f*x + 1/2*e)^2 - 100*B*a^2*tan(1/2*f*x + 1/2*e) + 3*A*a^2 + 23*B*a^2)/(c^3*(tan(1/2*f*x + 1/2*e) - 1)^5))/f","A",0
34,1,229,0,0.193428," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^4,x, algorithm=""giac"")","-\frac{2 \, {\left(35 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 35 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 35 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 140 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 35 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 70 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 70 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 91 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 14 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 7 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 7 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 6 \, A a^{2} - B a^{2}\right)}}{35 \, c^{4} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{7}}"," ",0,"-2/35*(35*A*a^2*tan(1/2*f*x + 1/2*e)^6 - 35*A*a^2*tan(1/2*f*x + 1/2*e)^5 + 35*B*a^2*tan(1/2*f*x + 1/2*e)^5 + 140*A*a^2*tan(1/2*f*x + 1/2*e)^4 + 35*B*a^2*tan(1/2*f*x + 1/2*e)^4 - 70*A*a^2*tan(1/2*f*x + 1/2*e)^3 + 70*B*a^2*tan(1/2*f*x + 1/2*e)^3 + 91*A*a^2*tan(1/2*f*x + 1/2*e)^2 + 14*B*a^2*tan(1/2*f*x + 1/2*e)^2 - 7*A*a^2*tan(1/2*f*x + 1/2*e) + 7*B*a^2*tan(1/2*f*x + 1/2*e) + 6*A*a^2 - B*a^2)/(c^4*f*(tan(1/2*f*x + 1/2*e) - 1)^7)","B",0
35,1,301,0,0.230713," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^5,x, algorithm=""giac"")","-\frac{2 \, {\left(315 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 630 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 315 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 2310 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 105 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 2520 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 945 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 3402 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 63 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 1638 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 693 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 1062 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 63 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 108 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 63 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 47 \, A a^{2} - 7 \, B a^{2}\right)}}{315 \, c^{5} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{9}}"," ",0,"-2/315*(315*A*a^2*tan(1/2*f*x + 1/2*e)^8 - 630*A*a^2*tan(1/2*f*x + 1/2*e)^7 + 315*B*a^2*tan(1/2*f*x + 1/2*e)^7 + 2310*A*a^2*tan(1/2*f*x + 1/2*e)^6 + 105*B*a^2*tan(1/2*f*x + 1/2*e)^6 - 2520*A*a^2*tan(1/2*f*x + 1/2*e)^5 + 945*B*a^2*tan(1/2*f*x + 1/2*e)^5 + 3402*A*a^2*tan(1/2*f*x + 1/2*e)^4 + 63*B*a^2*tan(1/2*f*x + 1/2*e)^4 - 1638*A*a^2*tan(1/2*f*x + 1/2*e)^3 + 693*B*a^2*tan(1/2*f*x + 1/2*e)^3 + 1062*A*a^2*tan(1/2*f*x + 1/2*e)^2 + 63*B*a^2*tan(1/2*f*x + 1/2*e)^2 - 108*A*a^2*tan(1/2*f*x + 1/2*e) + 63*B*a^2*tan(1/2*f*x + 1/2*e) + 47*A*a^2 - 7*B*a^2)/(c^5*f*(tan(1/2*f*x + 1/2*e) - 1)^9)","B",0
36,1,373,0,0.250206," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^6,x, algorithm=""giac"")","-\frac{2 \, {\left(3465 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 10395 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 3465 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 41580 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 1155 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 69300 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 16170 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 112266 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 6006 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 98406 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 22176 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 81180 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 3960 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 33660 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 8910 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 14685 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 110 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1551 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 671 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 456 \, A a^{2} - 61 \, B a^{2}\right)}}{3465 \, c^{6} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{11}}"," ",0,"-2/3465*(3465*A*a^2*tan(1/2*f*x + 1/2*e)^10 - 10395*A*a^2*tan(1/2*f*x + 1/2*e)^9 + 3465*B*a^2*tan(1/2*f*x + 1/2*e)^9 + 41580*A*a^2*tan(1/2*f*x + 1/2*e)^8 - 1155*B*a^2*tan(1/2*f*x + 1/2*e)^8 - 69300*A*a^2*tan(1/2*f*x + 1/2*e)^7 + 16170*B*a^2*tan(1/2*f*x + 1/2*e)^7 + 112266*A*a^2*tan(1/2*f*x + 1/2*e)^6 - 6006*B*a^2*tan(1/2*f*x + 1/2*e)^6 - 98406*A*a^2*tan(1/2*f*x + 1/2*e)^5 + 22176*B*a^2*tan(1/2*f*x + 1/2*e)^5 + 81180*A*a^2*tan(1/2*f*x + 1/2*e)^4 - 3960*B*a^2*tan(1/2*f*x + 1/2*e)^4 - 33660*A*a^2*tan(1/2*f*x + 1/2*e)^3 + 8910*B*a^2*tan(1/2*f*x + 1/2*e)^3 + 14685*A*a^2*tan(1/2*f*x + 1/2*e)^2 + 110*B*a^2*tan(1/2*f*x + 1/2*e)^2 - 1551*A*a^2*tan(1/2*f*x + 1/2*e) + 671*B*a^2*tan(1/2*f*x + 1/2*e) + 456*A*a^2 - 61*B*a^2)/(c^6*f*(tan(1/2*f*x + 1/2*e) - 1)^11)","B",0
37,1,445,0,0.325199," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^7,x, algorithm=""giac"")","-\frac{2 \, {\left(15015 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{12} - 60060 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} + 15015 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} + 270270 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 15015 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 600600 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 105105 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 1174173 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 93093 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 1465464 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 234234 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 1559844 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 131274 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 1094808 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 181038 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 659945 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 47190 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 233948 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 45903 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 77454 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1599 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 7904 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2769 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1763 \, A a^{2} - 213 \, B a^{2}\right)}}{15015 \, c^{7} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{13}}"," ",0,"-2/15015*(15015*A*a^2*tan(1/2*f*x + 1/2*e)^12 - 60060*A*a^2*tan(1/2*f*x + 1/2*e)^11 + 15015*B*a^2*tan(1/2*f*x + 1/2*e)^11 + 270270*A*a^2*tan(1/2*f*x + 1/2*e)^10 - 15015*B*a^2*tan(1/2*f*x + 1/2*e)^10 - 600600*A*a^2*tan(1/2*f*x + 1/2*e)^9 + 105105*B*a^2*tan(1/2*f*x + 1/2*e)^9 + 1174173*A*a^2*tan(1/2*f*x + 1/2*e)^8 - 93093*B*a^2*tan(1/2*f*x + 1/2*e)^8 - 1465464*A*a^2*tan(1/2*f*x + 1/2*e)^7 + 234234*B*a^2*tan(1/2*f*x + 1/2*e)^7 + 1559844*A*a^2*tan(1/2*f*x + 1/2*e)^6 - 131274*B*a^2*tan(1/2*f*x + 1/2*e)^6 - 1094808*A*a^2*tan(1/2*f*x + 1/2*e)^5 + 181038*B*a^2*tan(1/2*f*x + 1/2*e)^5 + 659945*A*a^2*tan(1/2*f*x + 1/2*e)^4 - 47190*B*a^2*tan(1/2*f*x + 1/2*e)^4 - 233948*A*a^2*tan(1/2*f*x + 1/2*e)^3 + 45903*B*a^2*tan(1/2*f*x + 1/2*e)^3 + 77454*A*a^2*tan(1/2*f*x + 1/2*e)^2 - 1599*B*a^2*tan(1/2*f*x + 1/2*e)^2 - 7904*A*a^2*tan(1/2*f*x + 1/2*e) + 2769*B*a^2*tan(1/2*f*x + 1/2*e) + 1763*A*a^2 - 213*B*a^2)/(c^7*f*(tan(1/2*f*x + 1/2*e) - 1)^13)","B",0
38,1,347,0,0.273695," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^6,x, algorithm=""giac"")","-\frac{B a^{3} c^{6} \sin\left(10 \, f x + 10 \, e\right)}{5120 \, f} + \frac{11}{256} \, {\left(10 \, A a^{3} c^{6} - 3 \, B a^{3} c^{6}\right)} x - \frac{{\left(A a^{3} c^{6} - 3 \, B a^{3} c^{6}\right)} \cos\left(9 \, f x + 9 \, e\right)}{2304 \, f} + \frac{{\left(9 \, A a^{3} c^{6} + 5 \, B a^{3} c^{6}\right)} \cos\left(7 \, f x + 7 \, e\right)}{1792 \, f} + \frac{{\left(3 \, A a^{3} c^{6} - B a^{3} c^{6}\right)} \cos\left(5 \, f x + 5 \, e\right)}{64 \, f} + \frac{{\left(29 \, A a^{3} c^{6} - 15 \, B a^{3} c^{6}\right)} \cos\left(3 \, f x + 3 \, e\right)}{192 \, f} + \frac{{\left(33 \, A a^{3} c^{6} - 19 \, B a^{3} c^{6}\right)} \cos\left(f x + e\right)}{128 \, f} - \frac{{\left(6 \, A a^{3} c^{6} - 5 \, B a^{3} c^{6}\right)} \sin\left(8 \, f x + 8 \, e\right)}{2048 \, f} - \frac{{\left(32 \, A a^{3} c^{6} - 51 \, B a^{3} c^{6}\right)} \sin\left(6 \, f x + 6 \, e\right)}{3072 \, f} + \frac{{\left(6 \, A a^{3} c^{6} + 7 \, B a^{3} c^{6}\right)} \sin\left(4 \, f x + 4 \, e\right)}{256 \, f} + \frac{{\left(144 \, A a^{3} c^{6} - 25 \, B a^{3} c^{6}\right)} \sin\left(2 \, f x + 2 \, e\right)}{512 \, f}"," ",0,"-1/5120*B*a^3*c^6*sin(10*f*x + 10*e)/f + 11/256*(10*A*a^3*c^6 - 3*B*a^3*c^6)*x - 1/2304*(A*a^3*c^6 - 3*B*a^3*c^6)*cos(9*f*x + 9*e)/f + 1/1792*(9*A*a^3*c^6 + 5*B*a^3*c^6)*cos(7*f*x + 7*e)/f + 1/64*(3*A*a^3*c^6 - B*a^3*c^6)*cos(5*f*x + 5*e)/f + 1/192*(29*A*a^3*c^6 - 15*B*a^3*c^6)*cos(3*f*x + 3*e)/f + 1/128*(33*A*a^3*c^6 - 19*B*a^3*c^6)*cos(f*x + e)/f - 1/2048*(6*A*a^3*c^6 - 5*B*a^3*c^6)*sin(8*f*x + 8*e)/f - 1/3072*(32*A*a^3*c^6 - 51*B*a^3*c^6)*sin(6*f*x + 6*e)/f + 1/256*(6*A*a^3*c^6 + 7*B*a^3*c^6)*sin(4*f*x + 4*e)/f + 1/512*(144*A*a^3*c^6 - 25*B*a^3*c^6)*sin(2*f*x + 2*e)/f","A",0
39,1,301,0,0.253844," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^5,x, algorithm=""giac"")","\frac{B a^{3} c^{5} \cos\left(9 \, f x + 9 \, e\right)}{2304 \, f} + \frac{B a^{3} c^{5} \sin\left(6 \, f x + 6 \, e\right)}{96 \, f} + \frac{5}{128} \, {\left(9 \, A a^{3} c^{5} - 2 \, B a^{3} c^{5}\right)} x + \frac{{\left(8 \, A a^{3} c^{5} - B a^{3} c^{5}\right)} \cos\left(7 \, f x + 7 \, e\right)}{1792 \, f} + \frac{{\left(2 \, A a^{3} c^{5} - B a^{3} c^{5}\right)} \cos\left(5 \, f x + 5 \, e\right)}{64 \, f} + \frac{{\left(18 \, A a^{3} c^{5} - 11 \, B a^{3} c^{5}\right)} \cos\left(3 \, f x + 3 \, e\right)}{192 \, f} + \frac{{\left(20 \, A a^{3} c^{5} - 13 \, B a^{3} c^{5}\right)} \cos\left(f x + e\right)}{128 \, f} - \frac{{\left(A a^{3} c^{5} - 2 \, B a^{3} c^{5}\right)} \sin\left(8 \, f x + 8 \, e\right)}{1024 \, f} + \frac{{\left(5 \, A a^{3} c^{5} + 2 \, B a^{3} c^{5}\right)} \sin\left(4 \, f x + 4 \, e\right)}{128 \, f} + \frac{{\left(8 \, A a^{3} c^{5} - B a^{3} c^{5}\right)} \sin\left(2 \, f x + 2 \, e\right)}{32 \, f}"," ",0,"1/2304*B*a^3*c^5*cos(9*f*x + 9*e)/f + 1/96*B*a^3*c^5*sin(6*f*x + 6*e)/f + 5/128*(9*A*a^3*c^5 - 2*B*a^3*c^5)*x + 1/1792*(8*A*a^3*c^5 - B*a^3*c^5)*cos(7*f*x + 7*e)/f + 1/64*(2*A*a^3*c^5 - B*a^3*c^5)*cos(5*f*x + 5*e)/f + 1/192*(18*A*a^3*c^5 - 11*B*a^3*c^5)*cos(3*f*x + 3*e)/f + 1/128*(20*A*a^3*c^5 - 13*B*a^3*c^5)*cos(f*x + e)/f - 1/1024*(A*a^3*c^5 - 2*B*a^3*c^5)*sin(8*f*x + 8*e)/f + 1/128*(5*A*a^3*c^5 + 2*B*a^3*c^5)*sin(4*f*x + 4*e)/f + 1/32*(8*A*a^3*c^5 - B*a^3*c^5)*sin(2*f*x + 2*e)/f","A",0
40,1,273,0,0.225474," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^4,x, algorithm=""giac"")","\frac{B a^{3} c^{4} \sin\left(8 \, f x + 8 \, e\right)}{1024 \, f} + \frac{5}{128} \, {\left(8 \, A a^{3} c^{4} - B a^{3} c^{4}\right)} x + \frac{{\left(A a^{3} c^{4} - B a^{3} c^{4}\right)} \cos\left(7 \, f x + 7 \, e\right)}{448 \, f} + \frac{{\left(A a^{3} c^{4} - B a^{3} c^{4}\right)} \cos\left(5 \, f x + 5 \, e\right)}{64 \, f} + \frac{3 \, {\left(A a^{3} c^{4} - B a^{3} c^{4}\right)} \cos\left(3 \, f x + 3 \, e\right)}{64 \, f} + \frac{5 \, {\left(A a^{3} c^{4} - B a^{3} c^{4}\right)} \cos\left(f x + e\right)}{64 \, f} + \frac{{\left(A a^{3} c^{4} + B a^{3} c^{4}\right)} \sin\left(6 \, f x + 6 \, e\right)}{192 \, f} + \frac{{\left(6 \, A a^{3} c^{4} + B a^{3} c^{4}\right)} \sin\left(4 \, f x + 4 \, e\right)}{128 \, f} + \frac{{\left(15 \, A a^{3} c^{4} - B a^{3} c^{4}\right)} \sin\left(2 \, f x + 2 \, e\right)}{64 \, f}"," ",0,"1/1024*B*a^3*c^4*sin(8*f*x + 8*e)/f + 5/128*(8*A*a^3*c^4 - B*a^3*c^4)*x + 1/448*(A*a^3*c^4 - B*a^3*c^4)*cos(7*f*x + 7*e)/f + 1/64*(A*a^3*c^4 - B*a^3*c^4)*cos(5*f*x + 5*e)/f + 3/64*(A*a^3*c^4 - B*a^3*c^4)*cos(3*f*x + 3*e)/f + 5/64*(A*a^3*c^4 - B*a^3*c^4)*cos(f*x + e)/f + 1/192*(A*a^3*c^4 + B*a^3*c^4)*sin(6*f*x + 6*e)/f + 1/128*(6*A*a^3*c^4 + B*a^3*c^4)*sin(4*f*x + 4*e)/f + 1/64*(15*A*a^3*c^4 - B*a^3*c^4)*sin(2*f*x + 2*e)/f","A",0
41,1,162,0,0.185512," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{5}{16} \, A a^{3} c^{3} x - \frac{B a^{3} c^{3} \cos\left(7 \, f x + 7 \, e\right)}{448 \, f} - \frac{B a^{3} c^{3} \cos\left(5 \, f x + 5 \, e\right)}{64 \, f} - \frac{3 \, B a^{3} c^{3} \cos\left(3 \, f x + 3 \, e\right)}{64 \, f} - \frac{5 \, B a^{3} c^{3} \cos\left(f x + e\right)}{64 \, f} + \frac{A a^{3} c^{3} \sin\left(6 \, f x + 6 \, e\right)}{192 \, f} + \frac{3 \, A a^{3} c^{3} \sin\left(4 \, f x + 4 \, e\right)}{64 \, f} + \frac{15 \, A a^{3} c^{3} \sin\left(2 \, f x + 2 \, e\right)}{64 \, f}"," ",0,"5/16*A*a^3*c^3*x - 1/448*B*a^3*c^3*cos(7*f*x + 7*e)/f - 1/64*B*a^3*c^3*cos(5*f*x + 5*e)/f - 3/64*B*a^3*c^3*cos(3*f*x + 3*e)/f - 5/64*B*a^3*c^3*cos(f*x + e)/f + 1/192*A*a^3*c^3*sin(6*f*x + 6*e)/f + 3/64*A*a^3*c^3*sin(4*f*x + 4*e)/f + 15/64*A*a^3*c^3*sin(2*f*x + 2*e)/f","A",0
42,1,204,0,0.190224," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^2,x, algorithm=""giac"")","-\frac{B a^{3} c^{2} \sin\left(6 \, f x + 6 \, e\right)}{192 \, f} + \frac{1}{16} \, {\left(6 \, A a^{3} c^{2} + B a^{3} c^{2}\right)} x - \frac{{\left(A a^{3} c^{2} + B a^{3} c^{2}\right)} \cos\left(5 \, f x + 5 \, e\right)}{80 \, f} - \frac{{\left(A a^{3} c^{2} + B a^{3} c^{2}\right)} \cos\left(3 \, f x + 3 \, e\right)}{16 \, f} - \frac{{\left(A a^{3} c^{2} + B a^{3} c^{2}\right)} \cos\left(f x + e\right)}{8 \, f} + \frac{{\left(2 \, A a^{3} c^{2} - B a^{3} c^{2}\right)} \sin\left(4 \, f x + 4 \, e\right)}{64 \, f} + \frac{{\left(16 \, A a^{3} c^{2} + B a^{3} c^{2}\right)} \sin\left(2 \, f x + 2 \, e\right)}{64 \, f}"," ",0,"-1/192*B*a^3*c^2*sin(6*f*x + 6*e)/f + 1/16*(6*A*a^3*c^2 + B*a^3*c^2)*x - 1/80*(A*a^3*c^2 + B*a^3*c^2)*cos(5*f*x + 5*e)/f - 1/16*(A*a^3*c^2 + B*a^3*c^2)*cos(3*f*x + 3*e)/f - 1/8*(A*a^3*c^2 + B*a^3*c^2)*cos(f*x + e)/f + 1/64*(2*A*a^3*c^2 - B*a^3*c^2)*sin(4*f*x + 4*e)/f + 1/64*(16*A*a^3*c^2 + B*a^3*c^2)*sin(2*f*x + 2*e)/f","A",0
43,1,145,0,0.212447," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c-c*sin(f*x+e)),x, algorithm=""giac"")","\frac{B a^{3} c \cos\left(5 \, f x + 5 \, e\right)}{80 \, f} + \frac{A a^{3} c \sin\left(2 \, f x + 2 \, e\right)}{4 \, f} + \frac{1}{8} \, {\left(5 \, A a^{3} c + 2 \, B a^{3} c\right)} x - \frac{{\left(8 \, A a^{3} c + 5 \, B a^{3} c\right)} \cos\left(3 \, f x + 3 \, e\right)}{48 \, f} - \frac{{\left(4 \, A a^{3} c + 3 \, B a^{3} c\right)} \cos\left(f x + e\right)}{8 \, f} - \frac{{\left(A a^{3} c + 2 \, B a^{3} c\right)} \sin\left(4 \, f x + 4 \, e\right)}{32 \, f}"," ",0,"1/80*B*a^3*c*cos(5*f*x + 5*e)/f + 1/4*A*a^3*c*sin(2*f*x + 2*e)/f + 1/8*(5*A*a^3*c + 2*B*a^3*c)*x - 1/48*(8*A*a^3*c + 5*B*a^3*c)*cos(3*f*x + 3*e)/f - 1/8*(4*A*a^3*c + 3*B*a^3*c)*cos(f*x + e)/f - 1/32*(A*a^3*c + 2*B*a^3*c)*sin(4*f*x + 4*e)/f","A",0
44,1,234,0,0.218782," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(3 \, A a^{3} + 4 \, B a^{3}\right)} {\left(f x + e\right)}}{c} + \frac{96 \, {\left(A a^{3} + B a^{3}\right)}}{c {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}} + \frac{2 \, {\left(3 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 12 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 24 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 42 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 48 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 96 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 12 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 24 \, A a^{3} - 46 \, B a^{3}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{3} c}}{6 \, f}"," ",0,"-1/6*(15*(3*A*a^3 + 4*B*a^3)*(f*x + e)/c + 96*(A*a^3 + B*a^3)/(c*(tan(1/2*f*x + 1/2*e) - 1)) + 2*(3*A*a^3*tan(1/2*f*x + 1/2*e)^5 + 12*B*a^3*tan(1/2*f*x + 1/2*e)^5 - 24*A*a^3*tan(1/2*f*x + 1/2*e)^4 - 42*B*a^3*tan(1/2*f*x + 1/2*e)^4 - 48*A*a^3*tan(1/2*f*x + 1/2*e)^2 - 96*B*a^3*tan(1/2*f*x + 1/2*e)^2 - 3*A*a^3*tan(1/2*f*x + 1/2*e) - 12*B*a^3*tan(1/2*f*x + 1/2*e) - 24*A*a^3 - 46*B*a^3)/((tan(1/2*f*x + 1/2*e)^2 + 1)^3*c))/f","A",0
45,1,233,0,0.181416," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(2 \, A a^{3} + 5 \, B a^{3}\right)} {\left(f x + e\right)}}{c^{2}} + \frac{6 \, {\left(B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 10 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 2 \, A a^{3} - 10 \, B a^{3}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{2} c^{2}} + \frac{16 \, {\left(3 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 9 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 12 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 24 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 5 \, A a^{3} + 11 \, B a^{3}\right)}}{c^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{3}}}{6 \, f}"," ",0,"1/6*(15*(2*A*a^3 + 5*B*a^3)*(f*x + e)/c^2 + 6*(B*a^3*tan(1/2*f*x + 1/2*e)^3 - 2*A*a^3*tan(1/2*f*x + 1/2*e)^2 - 10*B*a^3*tan(1/2*f*x + 1/2*e)^2 - B*a^3*tan(1/2*f*x + 1/2*e) - 2*A*a^3 - 10*B*a^3)/((tan(1/2*f*x + 1/2*e)^2 + 1)^2*c^2) + 16*(3*A*a^3*tan(1/2*f*x + 1/2*e)^2 + 9*B*a^3*tan(1/2*f*x + 1/2*e)^2 - 12*A*a^3*tan(1/2*f*x + 1/2*e) - 24*B*a^3*tan(1/2*f*x + 1/2*e) + 5*A*a^3 + 11*B*a^3)/(c^2*(tan(1/2*f*x + 1/2*e) - 1)^3))/f","A",0
46,1,226,0,0.200844," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{30 \, B a^{3}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)} c^{3}} - \frac{15 \, {\left(A a^{3} + 6 \, B a^{3}\right)} {\left(f x + e\right)}}{c^{3}} - \frac{4 \, {\left(15 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 45 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 30 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 210 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 100 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 420 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 50 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 270 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 13 \, A a^{3} + 63 \, B a^{3}\right)}}{c^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{5}}}{15 \, f}"," ",0,"1/15*(30*B*a^3/((tan(1/2*f*x + 1/2*e)^2 + 1)*c^3) - 15*(A*a^3 + 6*B*a^3)*(f*x + e)/c^3 - 4*(15*A*a^3*tan(1/2*f*x + 1/2*e)^4 + 45*B*a^3*tan(1/2*f*x + 1/2*e)^4 - 30*A*a^3*tan(1/2*f*x + 1/2*e)^3 - 210*B*a^3*tan(1/2*f*x + 1/2*e)^3 + 100*A*a^3*tan(1/2*f*x + 1/2*e)^2 + 420*B*a^3*tan(1/2*f*x + 1/2*e)^2 - 50*A*a^3*tan(1/2*f*x + 1/2*e) - 270*B*a^3*tan(1/2*f*x + 1/2*e) + 13*A*a^3 + 63*B*a^3)/(c^3*(tan(1/2*f*x + 1/2*e) - 1)^5))/f","A",0
47,1,213,0,0.238559," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^4,x, algorithm=""giac"")","\frac{\frac{105 \, {\left(f x + e\right)} B a^{3}}{c^{4}} - \frac{2 \, {\left(105 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 105 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 840 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 525 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 1925 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 3920 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 315 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2667 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1064 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, A a^{3} - 167 \, B a^{3}\right)}}{c^{4} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{7}}}{105 \, f}"," ",0,"1/105*(105*(f*x + e)*B*a^3/c^4 - 2*(105*A*a^3*tan(1/2*f*x + 1/2*e)^6 - 105*B*a^3*tan(1/2*f*x + 1/2*e)^6 + 840*B*a^3*tan(1/2*f*x + 1/2*e)^5 + 525*A*a^3*tan(1/2*f*x + 1/2*e)^4 - 1925*B*a^3*tan(1/2*f*x + 1/2*e)^4 + 3920*B*a^3*tan(1/2*f*x + 1/2*e)^3 + 315*A*a^3*tan(1/2*f*x + 1/2*e)^2 - 2667*B*a^3*tan(1/2*f*x + 1/2*e)^2 + 1064*B*a^3*tan(1/2*f*x + 1/2*e) + 15*A*a^3 - 167*B*a^3)/(c^4*(tan(1/2*f*x + 1/2*e) - 1)^7))/f","A",0
48,1,301,0,0.269449," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^5,x, algorithm=""giac"")","-\frac{2 \, {\left(63 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 63 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 63 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 483 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 105 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 315 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 315 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 693 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 189 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 189 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 189 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 225 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 27 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 9 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 9 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 8 \, A a^{3} - B a^{3}\right)}}{63 \, c^{5} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{9}}"," ",0,"-2/63*(63*A*a^3*tan(1/2*f*x + 1/2*e)^8 - 63*A*a^3*tan(1/2*f*x + 1/2*e)^7 + 63*B*a^3*tan(1/2*f*x + 1/2*e)^7 + 483*A*a^3*tan(1/2*f*x + 1/2*e)^6 + 105*B*a^3*tan(1/2*f*x + 1/2*e)^6 - 315*A*a^3*tan(1/2*f*x + 1/2*e)^5 + 315*B*a^3*tan(1/2*f*x + 1/2*e)^5 + 693*A*a^3*tan(1/2*f*x + 1/2*e)^4 + 189*B*a^3*tan(1/2*f*x + 1/2*e)^4 - 189*A*a^3*tan(1/2*f*x + 1/2*e)^3 + 189*B*a^3*tan(1/2*f*x + 1/2*e)^3 + 225*A*a^3*tan(1/2*f*x + 1/2*e)^2 + 27*B*a^3*tan(1/2*f*x + 1/2*e)^2 - 9*A*a^3*tan(1/2*f*x + 1/2*e) + 9*B*a^3*tan(1/2*f*x + 1/2*e) + 8*A*a^3 - B*a^3)/(c^5*f*(tan(1/2*f*x + 1/2*e) - 1)^9)","B",0
49,1,373,0,0.311945," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^6,x, algorithm=""giac"")","-\frac{2 \, {\left(693 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 1386 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 693 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 8085 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} + 693 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 10626 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 4158 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 21252 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 1386 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 15246 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 5544 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 15444 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 1188 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 4950 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2178 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2959 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 198 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 176 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 99 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 79 \, A a^{3} - 9 \, B a^{3}\right)}}{693 \, c^{6} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{11}}"," ",0,"-2/693*(693*A*a^3*tan(1/2*f*x + 1/2*e)^10 - 1386*A*a^3*tan(1/2*f*x + 1/2*e)^9 + 693*B*a^3*tan(1/2*f*x + 1/2*e)^9 + 8085*A*a^3*tan(1/2*f*x + 1/2*e)^8 + 693*B*a^3*tan(1/2*f*x + 1/2*e)^8 - 10626*A*a^3*tan(1/2*f*x + 1/2*e)^7 + 4158*B*a^3*tan(1/2*f*x + 1/2*e)^7 + 21252*A*a^3*tan(1/2*f*x + 1/2*e)^6 + 1386*B*a^3*tan(1/2*f*x + 1/2*e)^6 - 15246*A*a^3*tan(1/2*f*x + 1/2*e)^5 + 5544*B*a^3*tan(1/2*f*x + 1/2*e)^5 + 15444*A*a^3*tan(1/2*f*x + 1/2*e)^4 + 1188*B*a^3*tan(1/2*f*x + 1/2*e)^4 - 4950*A*a^3*tan(1/2*f*x + 1/2*e)^3 + 2178*B*a^3*tan(1/2*f*x + 1/2*e)^3 + 2959*A*a^3*tan(1/2*f*x + 1/2*e)^2 + 198*B*a^3*tan(1/2*f*x + 1/2*e)^2 - 176*A*a^3*tan(1/2*f*x + 1/2*e) + 99*B*a^3*tan(1/2*f*x + 1/2*e) + 79*A*a^3 - 9*B*a^3)/(c^6*f*(tan(1/2*f*x + 1/2*e) - 1)^11)","B",0
50,1,445,0,0.363628," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^7,x, algorithm=""giac"")","-\frac{2 \, {\left(9009 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{12} - 27027 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} + 9009 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} + 153153 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} + 3003 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 297297 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 69069 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 648648 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 9009 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 738738 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 150150 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 857142 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 16302 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 548262 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 115830 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 367653 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 286 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 112827 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 30745 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 45513 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1443 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3081 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1261 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 930 \, A a^{3} - 97 \, B a^{3}\right)}}{9009 \, c^{7} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{13}}"," ",0,"-2/9009*(9009*A*a^3*tan(1/2*f*x + 1/2*e)^12 - 27027*A*a^3*tan(1/2*f*x + 1/2*e)^11 + 9009*B*a^3*tan(1/2*f*x + 1/2*e)^11 + 153153*A*a^3*tan(1/2*f*x + 1/2*e)^10 + 3003*B*a^3*tan(1/2*f*x + 1/2*e)^10 - 297297*A*a^3*tan(1/2*f*x + 1/2*e)^9 + 69069*B*a^3*tan(1/2*f*x + 1/2*e)^9 + 648648*A*a^3*tan(1/2*f*x + 1/2*e)^8 - 9009*B*a^3*tan(1/2*f*x + 1/2*e)^8 - 738738*A*a^3*tan(1/2*f*x + 1/2*e)^7 + 150150*B*a^3*tan(1/2*f*x + 1/2*e)^7 + 857142*A*a^3*tan(1/2*f*x + 1/2*e)^6 - 16302*B*a^3*tan(1/2*f*x + 1/2*e)^6 - 548262*A*a^3*tan(1/2*f*x + 1/2*e)^5 + 115830*B*a^3*tan(1/2*f*x + 1/2*e)^5 + 367653*A*a^3*tan(1/2*f*x + 1/2*e)^4 - 286*B*a^3*tan(1/2*f*x + 1/2*e)^4 - 112827*A*a^3*tan(1/2*f*x + 1/2*e)^3 + 30745*B*a^3*tan(1/2*f*x + 1/2*e)^3 + 45513*A*a^3*tan(1/2*f*x + 1/2*e)^2 + 1443*B*a^3*tan(1/2*f*x + 1/2*e)^2 - 3081*A*a^3*tan(1/2*f*x + 1/2*e) + 1261*B*a^3*tan(1/2*f*x + 1/2*e) + 930*A*a^3 - 97*B*a^3)/(c^7*f*(tan(1/2*f*x + 1/2*e) - 1)^13)","B",0
51,1,517,0,0.388078," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^8,x, algorithm=""giac"")","-\frac{2 \, {\left(45045 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{14} - 180180 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{13} + 45045 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{13} + 1066065 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{12} - 15015 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{12} - 2702700 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} + 450450 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} + 6675669 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 306306 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 10210200 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 1456455 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 14124825 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 791505 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 13178880 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 1827540 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 11026015 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 580580 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 6066060 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 915915 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 3088995 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 105105 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 864500 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 170170 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 265335 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2310 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 18600 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 6105 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 4243 \, A a^{3} - 407 \, B a^{3}\right)}}{45045 \, c^{8} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{15}}"," ",0,"-2/45045*(45045*A*a^3*tan(1/2*f*x + 1/2*e)^14 - 180180*A*a^3*tan(1/2*f*x + 1/2*e)^13 + 45045*B*a^3*tan(1/2*f*x + 1/2*e)^13 + 1066065*A*a^3*tan(1/2*f*x + 1/2*e)^12 - 15015*B*a^3*tan(1/2*f*x + 1/2*e)^12 - 2702700*A*a^3*tan(1/2*f*x + 1/2*e)^11 + 450450*B*a^3*tan(1/2*f*x + 1/2*e)^11 + 6675669*A*a^3*tan(1/2*f*x + 1/2*e)^10 - 306306*B*a^3*tan(1/2*f*x + 1/2*e)^10 - 10210200*A*a^3*tan(1/2*f*x + 1/2*e)^9 + 1456455*B*a^3*tan(1/2*f*x + 1/2*e)^9 + 14124825*A*a^3*tan(1/2*f*x + 1/2*e)^8 - 791505*B*a^3*tan(1/2*f*x + 1/2*e)^8 - 13178880*A*a^3*tan(1/2*f*x + 1/2*e)^7 + 1827540*B*a^3*tan(1/2*f*x + 1/2*e)^7 + 11026015*A*a^3*tan(1/2*f*x + 1/2*e)^6 - 580580*B*a^3*tan(1/2*f*x + 1/2*e)^6 - 6066060*A*a^3*tan(1/2*f*x + 1/2*e)^5 + 915915*B*a^3*tan(1/2*f*x + 1/2*e)^5 + 3088995*A*a^3*tan(1/2*f*x + 1/2*e)^4 - 105105*B*a^3*tan(1/2*f*x + 1/2*e)^4 - 864500*A*a^3*tan(1/2*f*x + 1/2*e)^3 + 170170*B*a^3*tan(1/2*f*x + 1/2*e)^3 + 265335*A*a^3*tan(1/2*f*x + 1/2*e)^2 + 2310*B*a^3*tan(1/2*f*x + 1/2*e)^2 - 18600*A*a^3*tan(1/2*f*x + 1/2*e) + 6105*B*a^3*tan(1/2*f*x + 1/2*e) + 4243*A*a^3 - 407*B*a^3)/(c^8*f*(tan(1/2*f*x + 1/2*e) - 1)^15)","B",0
52,1,343,0,0.202452," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^4/(a+a*sin(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{105 \, {\left(4 \, A c^{4} - 5 \, B c^{4}\right)} {\left(f x + e\right)}}{a} + \frac{768 \, {\left(A c^{4} - B c^{4}\right)}}{a {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}} + \frac{2 \, {\left(60 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} - 141 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 264 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 360 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 60 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 165 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 840 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 1320 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 60 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 165 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 856 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1400 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 60 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 141 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 280 \, A c^{4} - 440 \, B c^{4}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{4} a}}{24 \, f}"," ",0,"-1/24*(105*(4*A*c^4 - 5*B*c^4)*(f*x + e)/a + 768*(A*c^4 - B*c^4)/(a*(tan(1/2*f*x + 1/2*e) + 1)) + 2*(60*A*c^4*tan(1/2*f*x + 1/2*e)^7 - 141*B*c^4*tan(1/2*f*x + 1/2*e)^7 + 264*A*c^4*tan(1/2*f*x + 1/2*e)^6 - 360*B*c^4*tan(1/2*f*x + 1/2*e)^6 + 60*A*c^4*tan(1/2*f*x + 1/2*e)^5 - 165*B*c^4*tan(1/2*f*x + 1/2*e)^5 + 840*A*c^4*tan(1/2*f*x + 1/2*e)^4 - 1320*B*c^4*tan(1/2*f*x + 1/2*e)^4 - 60*A*c^4*tan(1/2*f*x + 1/2*e)^3 + 165*B*c^4*tan(1/2*f*x + 1/2*e)^3 + 856*A*c^4*tan(1/2*f*x + 1/2*e)^2 - 1400*B*c^4*tan(1/2*f*x + 1/2*e)^2 - 60*A*c^4*tan(1/2*f*x + 1/2*e) + 141*B*c^4*tan(1/2*f*x + 1/2*e) + 280*A*c^4 - 440*B*c^4)/((tan(1/2*f*x + 1/2*e)^2 + 1)^4*a))/f","A",0
53,1,235,0,0.164490," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^3/(a+a*sin(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(3 \, A c^{3} - 4 \, B c^{3}\right)} {\left(f x + e\right)}}{a} + \frac{96 \, {\left(A c^{3} - B c^{3}\right)}}{a {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}} + \frac{2 \, {\left(3 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 12 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 24 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 42 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 48 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 96 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 12 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 24 \, A c^{3} - 46 \, B c^{3}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{3} a}}{6 \, f}"," ",0,"-1/6*(15*(3*A*c^3 - 4*B*c^3)*(f*x + e)/a + 96*(A*c^3 - B*c^3)/(a*(tan(1/2*f*x + 1/2*e) + 1)) + 2*(3*A*c^3*tan(1/2*f*x + 1/2*e)^5 - 12*B*c^3*tan(1/2*f*x + 1/2*e)^5 + 24*A*c^3*tan(1/2*f*x + 1/2*e)^4 - 42*B*c^3*tan(1/2*f*x + 1/2*e)^4 + 48*A*c^3*tan(1/2*f*x + 1/2*e)^2 - 96*B*c^3*tan(1/2*f*x + 1/2*e)^2 - 3*A*c^3*tan(1/2*f*x + 1/2*e) + 12*B*c^3*tan(1/2*f*x + 1/2*e) + 24*A*c^3 - 46*B*c^3)/((tan(1/2*f*x + 1/2*e)^2 + 1)^3*a))/f","A",0
54,1,164,0,0.157158," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^2/(a+a*sin(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(2 \, A c^{2} - 3 \, B c^{2}\right)} {\left(f x + e\right)}}{a} + \frac{16 \, {\left(A c^{2} - B c^{2}\right)}}{a {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}} - \frac{2 \, {\left(B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 6 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 2 \, A c^{2} + 6 \, B c^{2}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{2} a}}{2 \, f}"," ",0,"-1/2*(3*(2*A*c^2 - 3*B*c^2)*(f*x + e)/a + 16*(A*c^2 - B*c^2)/(a*(tan(1/2*f*x + 1/2*e) + 1)) - 2*(B*c^2*tan(1/2*f*x + 1/2*e)^3 - 2*A*c^2*tan(1/2*f*x + 1/2*e)^2 + 6*B*c^2*tan(1/2*f*x + 1/2*e)^2 - B*c^2*tan(1/2*f*x + 1/2*e) - 2*A*c^2 + 6*B*c^2)/((tan(1/2*f*x + 1/2*e)^2 + 1)^2*a))/f","A",0
55,1,122,0,0.144893," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))/(a+a*sin(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{{\left(A c - 2 \, B c\right)} {\left(f x + e\right)}}{a} + \frac{2 \, {\left(2 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A c - 3 \, B c\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)} a}}{f}"," ",0,"-((A*c - 2*B*c)*(f*x + e)/a + 2*(2*A*c*tan(1/2*f*x + 1/2*e)^2 - 2*B*c*tan(1/2*f*x + 1/2*e)^2 - B*c*tan(1/2*f*x + 1/2*e) + 2*A*c - 3*B*c)/((tan(1/2*f*x + 1/2*e)^3 + tan(1/2*f*x + 1/2*e)^2 + tan(1/2*f*x + 1/2*e) + 1)*a))/f","B",0
56,1,41,0,0.176091," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c-c*sin(f*x+e)),x, algorithm=""giac"")","-\frac{2 \, {\left(A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + B\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)} a c f}"," ",0,"-2*(A*tan(1/2*f*x + 1/2*e) + B)/((tan(1/2*f*x + 1/2*e)^2 - 1)*a*c*f)","A",0
57,1,102,0,0.286783," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c-c*sin(f*x+e))^2,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(A - B\right)}}{a c^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}} + \frac{9 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 12 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 7 \, A + B}{a c^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{3}}}{6 \, f}"," ",0,"-1/6*(3*(A - B)/(a*c^2*(tan(1/2*f*x + 1/2*e) + 1)) + (9*A*tan(1/2*f*x + 1/2*e)^2 + 3*B*tan(1/2*f*x + 1/2*e)^2 - 12*A*tan(1/2*f*x + 1/2*e) + 7*A + B)/(a*c^2*(tan(1/2*f*x + 1/2*e) - 1)^3))/f","A",0
58,1,177,0,0.259611," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c-c*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(A - B\right)}}{a c^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}} + \frac{105 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 15 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 270 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 30 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 360 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 40 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 210 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 50 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 63 \, A - 7 \, B}{a c^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{5}}}{60 \, f}"," ",0,"-1/60*(15*(A - B)/(a*c^3*(tan(1/2*f*x + 1/2*e) + 1)) + (105*A*tan(1/2*f*x + 1/2*e)^4 + 15*B*tan(1/2*f*x + 1/2*e)^4 - 270*A*tan(1/2*f*x + 1/2*e)^3 + 30*B*tan(1/2*f*x + 1/2*e)^3 + 360*A*tan(1/2*f*x + 1/2*e)^2 - 40*B*tan(1/2*f*x + 1/2*e)^2 - 210*A*tan(1/2*f*x + 1/2*e) + 50*B*tan(1/2*f*x + 1/2*e) + 63*A - 7*B)/(a*c^3*(tan(1/2*f*x + 1/2*e) - 1)^5))/f","A",0
59,1,237,0,0.199643," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c-c*sin(f*x+e))^4,x, algorithm=""giac"")","-\frac{\frac{35 \, {\left(A - B\right)}}{a c^{4} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}} + \frac{525 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 35 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 1960 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 280 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 4025 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 665 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 4480 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 1120 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 3143 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 791 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1176 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 392 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 243 \, A - 51 \, B}{a c^{4} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{7}}}{280 \, f}"," ",0,"-1/280*(35*(A - B)/(a*c^4*(tan(1/2*f*x + 1/2*e) + 1)) + (525*A*tan(1/2*f*x + 1/2*e)^6 + 35*B*tan(1/2*f*x + 1/2*e)^6 - 1960*A*tan(1/2*f*x + 1/2*e)^5 + 280*B*tan(1/2*f*x + 1/2*e)^5 + 4025*A*tan(1/2*f*x + 1/2*e)^4 - 665*B*tan(1/2*f*x + 1/2*e)^4 - 4480*A*tan(1/2*f*x + 1/2*e)^3 + 1120*B*tan(1/2*f*x + 1/2*e)^3 + 3143*A*tan(1/2*f*x + 1/2*e)^2 - 791*B*tan(1/2*f*x + 1/2*e)^2 - 1176*A*tan(1/2*f*x + 1/2*e) + 392*B*tan(1/2*f*x + 1/2*e) + 243*A - 51*B)/(a*c^4*(tan(1/2*f*x + 1/2*e) - 1)^7))/f","A",0
60,1,412,0,0.259177," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^5/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{315 \, {\left(4 \, A c^{5} - 7 \, B c^{5}\right)} {\left(f x + e\right)}}{a^{2}} + \frac{256 \, {\left(9 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 15 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 24 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 36 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 11 \, A c^{5} - 17 \, B c^{5}\right)}}{a^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}} + \frac{2 \, {\left(84 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} - 285 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 552 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 1176 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 84 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 309 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 1704 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 3864 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 84 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 309 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 1720 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3976 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 84 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 285 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 568 \, A c^{5} - 1288 \, B c^{5}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{4} a^{2}}}{24 \, f}"," ",0,"1/24*(315*(4*A*c^5 - 7*B*c^5)*(f*x + e)/a^2 + 256*(9*A*c^5*tan(1/2*f*x + 1/2*e)^2 - 15*B*c^5*tan(1/2*f*x + 1/2*e)^2 + 24*A*c^5*tan(1/2*f*x + 1/2*e) - 36*B*c^5*tan(1/2*f*x + 1/2*e) + 11*A*c^5 - 17*B*c^5)/(a^2*(tan(1/2*f*x + 1/2*e) + 1)^3) + 2*(84*A*c^5*tan(1/2*f*x + 1/2*e)^7 - 285*B*c^5*tan(1/2*f*x + 1/2*e)^7 + 552*A*c^5*tan(1/2*f*x + 1/2*e)^6 - 1176*B*c^5*tan(1/2*f*x + 1/2*e)^6 + 84*A*c^5*tan(1/2*f*x + 1/2*e)^5 - 309*B*c^5*tan(1/2*f*x + 1/2*e)^5 + 1704*A*c^5*tan(1/2*f*x + 1/2*e)^4 - 3864*B*c^5*tan(1/2*f*x + 1/2*e)^4 - 84*A*c^5*tan(1/2*f*x + 1/2*e)^3 + 309*B*c^5*tan(1/2*f*x + 1/2*e)^3 + 1720*A*c^5*tan(1/2*f*x + 1/2*e)^2 - 3976*B*c^5*tan(1/2*f*x + 1/2*e)^2 - 84*A*c^5*tan(1/2*f*x + 1/2*e) + 285*B*c^5*tan(1/2*f*x + 1/2*e) + 568*A*c^5 - 1288*B*c^5)/((tan(1/2*f*x + 1/2*e)^2 + 1)^4*a^2))/f","A",0
61,1,369,0,0.224836," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^4/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{105 \, {\left(A c^{4} - 2 \, B c^{4}\right)} {\left(f x + e\right)}}{a^{2}} + \frac{2 \, {\left(99 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 210 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} + 333 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} - 636 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 533 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 1160 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 1047 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 1980 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 921 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 1980 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 1107 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2140 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 651 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1344 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 393 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 780 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 164 \, A c^{4} - 330 \, B c^{4}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3} a^{2}}}{6 \, f}"," ",0,"1/6*(105*(A*c^4 - 2*B*c^4)*(f*x + e)/a^2 + 2*(99*A*c^4*tan(1/2*f*x + 1/2*e)^8 - 210*B*c^4*tan(1/2*f*x + 1/2*e)^8 + 333*A*c^4*tan(1/2*f*x + 1/2*e)^7 - 636*B*c^4*tan(1/2*f*x + 1/2*e)^7 + 533*A*c^4*tan(1/2*f*x + 1/2*e)^6 - 1160*B*c^4*tan(1/2*f*x + 1/2*e)^6 + 1047*A*c^4*tan(1/2*f*x + 1/2*e)^5 - 1980*B*c^4*tan(1/2*f*x + 1/2*e)^5 + 921*A*c^4*tan(1/2*f*x + 1/2*e)^4 - 1980*B*c^4*tan(1/2*f*x + 1/2*e)^4 + 1107*A*c^4*tan(1/2*f*x + 1/2*e)^3 - 2140*B*c^4*tan(1/2*f*x + 1/2*e)^3 + 651*A*c^4*tan(1/2*f*x + 1/2*e)^2 - 1344*B*c^4*tan(1/2*f*x + 1/2*e)^2 + 393*A*c^4*tan(1/2*f*x + 1/2*e) - 780*B*c^4*tan(1/2*f*x + 1/2*e) + 164*A*c^4 - 330*B*c^4)/((tan(1/2*f*x + 1/2*e)^3 + tan(1/2*f*x + 1/2*e)^2 + tan(1/2*f*x + 1/2*e) + 1)^3*a^2))/f","B",0
62,1,233,0,0.202047," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^3/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(2 \, A c^{3} - 5 \, B c^{3}\right)} {\left(f x + e\right)}}{a^{2}} - \frac{6 \, {\left(B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 10 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 2 \, A c^{3} + 10 \, B c^{3}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{2} a^{2}} + \frac{16 \, {\left(3 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 9 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 12 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 24 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 5 \, A c^{3} - 11 \, B c^{3}\right)}}{a^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}}}{6 \, f}"," ",0,"1/6*(15*(2*A*c^3 - 5*B*c^3)*(f*x + e)/a^2 - 6*(B*c^3*tan(1/2*f*x + 1/2*e)^3 - 2*A*c^3*tan(1/2*f*x + 1/2*e)^2 + 10*B*c^3*tan(1/2*f*x + 1/2*e)^2 - B*c^3*tan(1/2*f*x + 1/2*e) - 2*A*c^3 + 10*B*c^3)/((tan(1/2*f*x + 1/2*e)^2 + 1)^2*a^2) + 16*(3*A*c^3*tan(1/2*f*x + 1/2*e)^2 - 9*B*c^3*tan(1/2*f*x + 1/2*e)^2 + 12*A*c^3*tan(1/2*f*x + 1/2*e) - 24*B*c^3*tan(1/2*f*x + 1/2*e) + 5*A*c^3 - 11*B*c^3)/(a^2*(tan(1/2*f*x + 1/2*e) + 1)^3))/f","A",0
63,1,136,0,0.191781," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^2/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(A c^{2} - 4 \, B c^{2}\right)} {\left(f x + e\right)}}{a^{2}} - \frac{6 \, B c^{2}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)} a^{2}} - \frac{8 \, {\left(3 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 9 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - A c^{2} + 4 \, B c^{2}\right)}}{a^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}}}{3 \, f}"," ",0,"1/3*(3*(A*c^2 - 4*B*c^2)*(f*x + e)/a^2 - 6*B*c^2/((tan(1/2*f*x + 1/2*e)^2 + 1)*a^2) - 8*(3*B*c^2*tan(1/2*f*x + 1/2*e)^2 - 3*A*c^2*tan(1/2*f*x + 1/2*e) + 9*B*c^2*tan(1/2*f*x + 1/2*e) - A*c^2 + 4*B*c^2)/(a^2*(tan(1/2*f*x + 1/2*e) + 1)^3))/f","A",0
64,1,92,0,0.159862," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(f x + e\right)} B c}{a^{2}} + \frac{2 \, {\left(3 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 12 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + A c + 5 \, B c\right)}}{a^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}}}{3 \, f}"," ",0,"-1/3*(3*(f*x + e)*B*c/a^2 + 2*(3*A*c*tan(1/2*f*x + 1/2*e)^2 + 3*B*c*tan(1/2*f*x + 1/2*e)^2 + 12*B*c*tan(1/2*f*x + 1/2*e) + A*c + 5*B*c)/(a^2*(tan(1/2*f*x + 1/2*e) + 1)^3))/f","A",0
65,1,102,0,0.176090," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c-c*sin(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(A + B\right)}}{a^{2} c {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}} + \frac{9 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 12 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 7 \, A - B}{a^{2} c {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}}}{6 \, f}"," ",0,"-1/6*(3*(A + B)/(a^2*c*(tan(1/2*f*x + 1/2*e) - 1)) + (9*A*tan(1/2*f*x + 1/2*e)^2 - 3*B*tan(1/2*f*x + 1/2*e)^2 + 12*A*tan(1/2*f*x + 1/2*e) + 7*A - B)/(a^2*c*(tan(1/2*f*x + 1/2*e) + 1)^3))/f","A",0
66,1,87,0,0.195833," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 3 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 2 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 3 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + B\right)}}{3 \, {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)}^{3} a^{2} c^{2} f}"," ",0,"-2/3*(3*A*tan(1/2*f*x + 1/2*e)^5 + 3*B*tan(1/2*f*x + 1/2*e)^4 - 2*A*tan(1/2*f*x + 1/2*e)^3 + 3*A*tan(1/2*f*x + 1/2*e) + B)/((tan(1/2*f*x + 1/2*e)^2 - 1)^3*a^2*c^2*f)","A",0
67,1,235,0,0.198001," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{\frac{5 \, {\left(15 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 9 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 24 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 12 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 13 \, A - 7 \, B\right)}}{a^{2} c^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}} + \frac{165 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 45 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 480 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 60 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 650 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 70 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 400 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 20 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 113 \, A + 13 \, B}{a^{2} c^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{5}}}{120 \, f}"," ",0,"-1/120*(5*(15*A*tan(1/2*f*x + 1/2*e)^2 - 9*B*tan(1/2*f*x + 1/2*e)^2 + 24*A*tan(1/2*f*x + 1/2*e) - 12*B*tan(1/2*f*x + 1/2*e) + 13*A - 7*B)/(a^2*c^3*(tan(1/2*f*x + 1/2*e) + 1)^3) + (165*A*tan(1/2*f*x + 1/2*e)^4 + 45*B*tan(1/2*f*x + 1/2*e)^4 - 480*A*tan(1/2*f*x + 1/2*e)^3 - 60*B*tan(1/2*f*x + 1/2*e)^3 + 650*A*tan(1/2*f*x + 1/2*e)^2 + 70*B*tan(1/2*f*x + 1/2*e)^2 - 400*A*tan(1/2*f*x + 1/2*e) - 20*B*tan(1/2*f*x + 1/2*e) + 113*A + 13*B)/(a^2*c^3*(tan(1/2*f*x + 1/2*e) - 1)^5))/f","B",0
68,1,295,0,0.230267," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^4,x, algorithm=""giac"")","-\frac{\frac{35 \, {\left(9 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 6 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 9 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 8 \, A - 5 \, B\right)}}{a^{2} c^{4} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}} + \frac{1365 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 210 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 5775 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 105 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 12250 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 175 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 14350 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 910 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 10185 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 756 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3955 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 427 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 760 \, A - 31 \, B}{a^{2} c^{4} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{7}}}{840 \, f}"," ",0,"-1/840*(35*(9*A*tan(1/2*f*x + 1/2*e)^2 - 6*B*tan(1/2*f*x + 1/2*e)^2 + 15*A*tan(1/2*f*x + 1/2*e) - 9*B*tan(1/2*f*x + 1/2*e) + 8*A - 5*B)/(a^2*c^4*(tan(1/2*f*x + 1/2*e) + 1)^3) + (1365*A*tan(1/2*f*x + 1/2*e)^6 + 210*B*tan(1/2*f*x + 1/2*e)^6 - 5775*A*tan(1/2*f*x + 1/2*e)^5 - 105*B*tan(1/2*f*x + 1/2*e)^5 + 12250*A*tan(1/2*f*x + 1/2*e)^4 - 175*B*tan(1/2*f*x + 1/2*e)^4 - 14350*A*tan(1/2*f*x + 1/2*e)^3 + 910*B*tan(1/2*f*x + 1/2*e)^3 + 10185*A*tan(1/2*f*x + 1/2*e)^2 - 756*B*tan(1/2*f*x + 1/2*e)^2 - 3955*A*tan(1/2*f*x + 1/2*e) + 427*B*tan(1/2*f*x + 1/2*e) + 760*A - 31*B)/(a^2*c^4*(tan(1/2*f*x + 1/2*e) - 1)^7))/f","B",0
69,1,355,0,0.249047," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^5,x, algorithm=""giac"")","-\frac{\frac{21 \, {\left(21 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 15 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 36 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 24 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 19 \, A - 13 \, B\right)}}{a^{2} c^{5} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}} + \frac{3591 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} + 315 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 19656 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 756 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 56196 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 4200 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 95760 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 11340 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 107730 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 14994 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 79464 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 13356 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 38484 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 6768 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 10944 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2196 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1615 \, A - 209 \, B}{a^{2} c^{5} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{9}}}{2016 \, f}"," ",0,"-1/2016*(21*(21*A*tan(1/2*f*x + 1/2*e)^2 - 15*B*tan(1/2*f*x + 1/2*e)^2 + 36*A*tan(1/2*f*x + 1/2*e) - 24*B*tan(1/2*f*x + 1/2*e) + 19*A - 13*B)/(a^2*c^5*(tan(1/2*f*x + 1/2*e) + 1)^3) + (3591*A*tan(1/2*f*x + 1/2*e)^8 + 315*B*tan(1/2*f*x + 1/2*e)^8 - 19656*A*tan(1/2*f*x + 1/2*e)^7 + 756*B*tan(1/2*f*x + 1/2*e)^7 + 56196*A*tan(1/2*f*x + 1/2*e)^6 - 4200*B*tan(1/2*f*x + 1/2*e)^6 - 95760*A*tan(1/2*f*x + 1/2*e)^5 + 11340*B*tan(1/2*f*x + 1/2*e)^5 + 107730*A*tan(1/2*f*x + 1/2*e)^4 - 14994*B*tan(1/2*f*x + 1/2*e)^4 - 79464*A*tan(1/2*f*x + 1/2*e)^3 + 13356*B*tan(1/2*f*x + 1/2*e)^3 + 38484*A*tan(1/2*f*x + 1/2*e)^2 - 6768*B*tan(1/2*f*x + 1/2*e)^2 - 10944*A*tan(1/2*f*x + 1/2*e) + 2196*B*tan(1/2*f*x + 1/2*e) + 1615*A - 209*B)/(a^2*c^5*(tan(1/2*f*x + 1/2*e) - 1)^9))/f","B",0
70,1,376,0,0.284048," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^5/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{\frac{315 \, {\left(3 \, A c^{5} - 8 \, B c^{5}\right)} {\left(f x + e\right)}}{a^{3}} + \frac{10 \, {\left(3 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 24 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 48 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 186 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 96 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 384 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 24 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 48 \, A c^{5} - 190 \, B c^{5}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{3} a^{3}} + \frac{64 \, {\left(30 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 75 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 135 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 345 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 255 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 595 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 165 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 395 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 39 \, A c^{5} - 94 \, B c^{5}\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}}{30 \, f}"," ",0,"-1/30*(315*(3*A*c^5 - 8*B*c^5)*(f*x + e)/a^3 + 10*(3*A*c^5*tan(1/2*f*x + 1/2*e)^5 - 24*B*c^5*tan(1/2*f*x + 1/2*e)^5 + 48*A*c^5*tan(1/2*f*x + 1/2*e)^4 - 186*B*c^5*tan(1/2*f*x + 1/2*e)^4 + 96*A*c^5*tan(1/2*f*x + 1/2*e)^2 - 384*B*c^5*tan(1/2*f*x + 1/2*e)^2 - 3*A*c^5*tan(1/2*f*x + 1/2*e) + 24*B*c^5*tan(1/2*f*x + 1/2*e) + 48*A*c^5 - 190*B*c^5)/((tan(1/2*f*x + 1/2*e)^2 + 1)^3*a^3) + 64*(30*A*c^5*tan(1/2*f*x + 1/2*e)^4 - 75*B*c^5*tan(1/2*f*x + 1/2*e)^4 + 135*A*c^5*tan(1/2*f*x + 1/2*e)^3 - 345*B*c^5*tan(1/2*f*x + 1/2*e)^3 + 255*A*c^5*tan(1/2*f*x + 1/2*e)^2 - 595*B*c^5*tan(1/2*f*x + 1/2*e)^2 + 165*A*c^5*tan(1/2*f*x + 1/2*e) - 395*B*c^5*tan(1/2*f*x + 1/2*e) + 39*A*c^5 - 94*B*c^5)/(a^3*(tan(1/2*f*x + 1/2*e) + 1)^5))/f","A",0
71,1,305,0,0.258906," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^4/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{\frac{105 \, {\left(2 \, A c^{4} - 7 \, B c^{4}\right)} {\left(f x + e\right)}}{a^{3}} - \frac{30 \, {\left(B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 14 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 2 \, A c^{4} + 14 \, B c^{4}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{2} a^{3}} + \frac{32 \, {\left(15 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 45 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 60 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 210 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 130 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 380 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 80 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 250 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 19 \, A c^{4} - 59 \, B c^{4}\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}}{30 \, f}"," ",0,"-1/30*(105*(2*A*c^4 - 7*B*c^4)*(f*x + e)/a^3 - 30*(B*c^4*tan(1/2*f*x + 1/2*e)^3 - 2*A*c^4*tan(1/2*f*x + 1/2*e)^2 + 14*B*c^4*tan(1/2*f*x + 1/2*e)^2 - B*c^4*tan(1/2*f*x + 1/2*e) - 2*A*c^4 + 14*B*c^4)/((tan(1/2*f*x + 1/2*e)^2 + 1)^2*a^3) + 32*(15*A*c^4*tan(1/2*f*x + 1/2*e)^4 - 45*B*c^4*tan(1/2*f*x + 1/2*e)^4 + 60*A*c^4*tan(1/2*f*x + 1/2*e)^3 - 210*B*c^4*tan(1/2*f*x + 1/2*e)^3 + 130*A*c^4*tan(1/2*f*x + 1/2*e)^2 - 380*B*c^4*tan(1/2*f*x + 1/2*e)^2 + 80*A*c^4*tan(1/2*f*x + 1/2*e) - 250*B*c^4*tan(1/2*f*x + 1/2*e) + 19*A*c^4 - 59*B*c^4)/(a^3*(tan(1/2*f*x + 1/2*e) + 1)^5))/f","A",0
72,1,226,0,0.209773," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^3/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{30 \, B c^{3}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)} a^{3}} - \frac{15 \, {\left(A c^{3} - 6 \, B c^{3}\right)} {\left(f x + e\right)}}{a^{3}} - \frac{4 \, {\left(15 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 45 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 30 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 210 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 100 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 420 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 50 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 270 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 13 \, A c^{3} - 63 \, B c^{3}\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}}{15 \, f}"," ",0,"1/15*(30*B*c^3/((tan(1/2*f*x + 1/2*e)^2 + 1)*a^3) - 15*(A*c^3 - 6*B*c^3)*(f*x + e)/a^3 - 4*(15*A*c^3*tan(1/2*f*x + 1/2*e)^4 - 45*B*c^3*tan(1/2*f*x + 1/2*e)^4 + 30*A*c^3*tan(1/2*f*x + 1/2*e)^3 - 210*B*c^3*tan(1/2*f*x + 1/2*e)^3 + 100*A*c^3*tan(1/2*f*x + 1/2*e)^2 - 420*B*c^3*tan(1/2*f*x + 1/2*e)^2 + 50*A*c^3*tan(1/2*f*x + 1/2*e) - 270*B*c^3*tan(1/2*f*x + 1/2*e) + 13*A*c^3 - 63*B*c^3)/(a^3*(tan(1/2*f*x + 1/2*e) + 1)^5))/f","A",0
73,1,159,0,0.209339," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^2/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(f x + e\right)} B c^{2}}{a^{3}} - \frac{2 \, {\left(15 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 60 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 30 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 170 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 100 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, A c^{2} - 23 \, B c^{2}\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}}{15 \, f}"," ",0,"1/15*(15*(f*x + e)*B*c^2/a^3 - 2*(15*A*c^2*tan(1/2*f*x + 1/2*e)^4 - 15*B*c^2*tan(1/2*f*x + 1/2*e)^4 - 60*B*c^2*tan(1/2*f*x + 1/2*e)^3 + 30*A*c^2*tan(1/2*f*x + 1/2*e)^2 - 170*B*c^2*tan(1/2*f*x + 1/2*e)^2 - 100*B*c^2*tan(1/2*f*x + 1/2*e) + 3*A*c^2 - 23*B*c^2)/(a^3*(tan(1/2*f*x + 1/2*e) + 1)^5))/f","A",0
74,1,138,0,0.169392," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 15 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 15 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 25 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 5 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 5 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 5 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 4 \, A c + B c\right)}}{15 \, a^{3} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}"," ",0,"-2/15*(15*A*c*tan(1/2*f*x + 1/2*e)^4 + 15*A*c*tan(1/2*f*x + 1/2*e)^3 + 15*B*c*tan(1/2*f*x + 1/2*e)^3 + 25*A*c*tan(1/2*f*x + 1/2*e)^2 - 5*B*c*tan(1/2*f*x + 1/2*e)^2 + 5*A*c*tan(1/2*f*x + 1/2*e) + 5*B*c*tan(1/2*f*x + 1/2*e) + 4*A*c + B*c)/(a^3*f*(tan(1/2*f*x + 1/2*e) + 1)^5)","A",0
75,1,175,0,0.178314," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c-c*sin(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(A + B\right)}}{a^{3} c {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}} + \frac{105 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 15 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 270 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 30 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 360 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 40 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 210 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 50 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 63 \, A + 7 \, B}{a^{3} c {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}}{60 \, f}"," ",0,"-1/60*(15*(A + B)/(a^3*c*(tan(1/2*f*x + 1/2*e) - 1)) + (105*A*tan(1/2*f*x + 1/2*e)^4 - 15*B*tan(1/2*f*x + 1/2*e)^4 + 270*A*tan(1/2*f*x + 1/2*e)^3 + 30*B*tan(1/2*f*x + 1/2*e)^3 + 360*A*tan(1/2*f*x + 1/2*e)^2 + 40*B*tan(1/2*f*x + 1/2*e)^2 + 210*A*tan(1/2*f*x + 1/2*e) + 50*B*tan(1/2*f*x + 1/2*e) + 63*A + 7*B)/(a^3*c*(tan(1/2*f*x + 1/2*e) + 1)^5))/f","A",0
76,1,235,0,0.203081," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^2,x, algorithm=""giac"")","-\frac{\frac{5 \, {\left(15 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 9 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 24 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 12 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 13 \, A + 7 \, B\right)}}{a^{3} c^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{3}} + \frac{165 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 45 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 480 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 60 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 650 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 70 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 400 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 20 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 113 \, A - 13 \, B}{a^{3} c^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}}{120 \, f}"," ",0,"-1/120*(5*(15*A*tan(1/2*f*x + 1/2*e)^2 + 9*B*tan(1/2*f*x + 1/2*e)^2 - 24*A*tan(1/2*f*x + 1/2*e) - 12*B*tan(1/2*f*x + 1/2*e) + 13*A + 7*B)/(a^3*c^2*(tan(1/2*f*x + 1/2*e) - 1)^3) + (165*A*tan(1/2*f*x + 1/2*e)^4 - 45*B*tan(1/2*f*x + 1/2*e)^4 + 480*A*tan(1/2*f*x + 1/2*e)^3 - 60*B*tan(1/2*f*x + 1/2*e)^3 + 650*A*tan(1/2*f*x + 1/2*e)^2 - 70*B*tan(1/2*f*x + 1/2*e)^2 + 400*A*tan(1/2*f*x + 1/2*e) - 20*B*tan(1/2*f*x + 1/2*e) + 113*A - 13*B)/(a^3*c^2*(tan(1/2*f*x + 1/2*e) + 1)^5))/f","B",0
77,1,134,0,0.353917," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 15 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 20 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 58 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 30 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 20 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 15 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, B\right)}}{15 \, {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)}^{5} a^{3} c^{3} f}"," ",0,"-2/15*(15*A*tan(1/2*f*x + 1/2*e)^9 + 15*B*tan(1/2*f*x + 1/2*e)^8 - 20*A*tan(1/2*f*x + 1/2*e)^7 + 58*A*tan(1/2*f*x + 1/2*e)^5 + 30*B*tan(1/2*f*x + 1/2*e)^4 - 20*A*tan(1/2*f*x + 1/2*e)^3 + 15*A*tan(1/2*f*x + 1/2*e) + 3*B)/((tan(1/2*f*x + 1/2*e)^2 - 1)^5*a^3*c^3*f)","A",0
78,1,355,0,0.269206," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^4,x, algorithm=""giac"")","-\frac{\frac{7 \, {\left(165 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 75 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 540 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 210 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 750 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 280 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 480 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 170 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 129 \, A - 49 \, B\right)}}{a^{3} c^{4} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}} + \frac{2205 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 525 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 10080 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 1470 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 21945 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 2555 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 26460 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2240 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 18963 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1407 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 7476 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 434 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1383 \, A + 137 \, B}{a^{3} c^{4} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{7}}}{1680 \, f}"," ",0,"-1/1680*(7*(165*A*tan(1/2*f*x + 1/2*e)^4 - 75*B*tan(1/2*f*x + 1/2*e)^4 + 540*A*tan(1/2*f*x + 1/2*e)^3 - 210*B*tan(1/2*f*x + 1/2*e)^3 + 750*A*tan(1/2*f*x + 1/2*e)^2 - 280*B*tan(1/2*f*x + 1/2*e)^2 + 480*A*tan(1/2*f*x + 1/2*e) - 170*B*tan(1/2*f*x + 1/2*e) + 129*A - 49*B)/(a^3*c^4*(tan(1/2*f*x + 1/2*e) + 1)^5) + (2205*A*tan(1/2*f*x + 1/2*e)^6 + 525*B*tan(1/2*f*x + 1/2*e)^6 - 10080*A*tan(1/2*f*x + 1/2*e)^5 - 1470*B*tan(1/2*f*x + 1/2*e)^5 + 21945*A*tan(1/2*f*x + 1/2*e)^4 + 2555*B*tan(1/2*f*x + 1/2*e)^4 - 26460*A*tan(1/2*f*x + 1/2*e)^3 - 2240*B*tan(1/2*f*x + 1/2*e)^3 + 18963*A*tan(1/2*f*x + 1/2*e)^2 + 1407*B*tan(1/2*f*x + 1/2*e)^2 - 7476*A*tan(1/2*f*x + 1/2*e) - 434*B*tan(1/2*f*x + 1/2*e) + 1383*A + 137*B)/(a^3*c^4*(tan(1/2*f*x + 1/2*e) - 1)^7))/f","B",0
79,1,415,0,0.267865," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^5,x, algorithm=""giac"")","-\frac{\frac{21 \, {\left(435 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 225 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 1470 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 690 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2060 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 940 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1330 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 590 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 353 \, A - 163 \, B\right)}}{a^{3} c^{5} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}} + \frac{31185 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} + 4725 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 185220 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} - 11340 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 546840 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 15120 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 961380 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 3780 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 1101618 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 24318 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 828492 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 33852 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 404208 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 19368 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 116172 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 6732 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 16373 \, A - 223 \, B}{a^{3} c^{5} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{9}}}{20160 \, f}"," ",0,"-1/20160*(21*(435*A*tan(1/2*f*x + 1/2*e)^4 - 225*B*tan(1/2*f*x + 1/2*e)^4 + 1470*A*tan(1/2*f*x + 1/2*e)^3 - 690*B*tan(1/2*f*x + 1/2*e)^3 + 2060*A*tan(1/2*f*x + 1/2*e)^2 - 940*B*tan(1/2*f*x + 1/2*e)^2 + 1330*A*tan(1/2*f*x + 1/2*e) - 590*B*tan(1/2*f*x + 1/2*e) + 353*A - 163*B)/(a^3*c^5*(tan(1/2*f*x + 1/2*e) + 1)^5) + (31185*A*tan(1/2*f*x + 1/2*e)^8 + 4725*B*tan(1/2*f*x + 1/2*e)^8 - 185220*A*tan(1/2*f*x + 1/2*e)^7 - 11340*B*tan(1/2*f*x + 1/2*e)^7 + 546840*A*tan(1/2*f*x + 1/2*e)^6 + 15120*B*tan(1/2*f*x + 1/2*e)^6 - 961380*A*tan(1/2*f*x + 1/2*e)^5 + 3780*B*tan(1/2*f*x + 1/2*e)^5 + 1101618*A*tan(1/2*f*x + 1/2*e)^4 - 24318*B*tan(1/2*f*x + 1/2*e)^4 - 828492*A*tan(1/2*f*x + 1/2*e)^3 + 33852*B*tan(1/2*f*x + 1/2*e)^3 + 404208*A*tan(1/2*f*x + 1/2*e)^2 - 19368*B*tan(1/2*f*x + 1/2*e)^2 - 116172*A*tan(1/2*f*x + 1/2*e) + 6732*B*tan(1/2*f*x + 1/2*e) + 16373*A - 223*B)/(a^3*c^5*(tan(1/2*f*x + 1/2*e) - 1)^9))/f","B",0
80,1,475,0,0.304305," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^6,x, algorithm=""giac"")","-\frac{\frac{33 \, {\left(555 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 315 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 1920 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 1020 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2710 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1410 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1760 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 900 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 463 \, A - 243 \, B\right)}}{a^{3} c^{6} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}} + \frac{108405 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} + 10395 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 784080 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} - 5940 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 2901195 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 79695 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 6652800 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 388080 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 10407474 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 816354 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 11435424 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 1114344 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 8949270 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 990990 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 4899840 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 609840 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 1816265 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 235785 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 411664 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 56364 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 47279 \, A - 4179 \, B}{a^{3} c^{6} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}^{11}}}{63360 \, f}"," ",0,"-1/63360*(33*(555*A*tan(1/2*f*x + 1/2*e)^4 - 315*B*tan(1/2*f*x + 1/2*e)^4 + 1920*A*tan(1/2*f*x + 1/2*e)^3 - 1020*B*tan(1/2*f*x + 1/2*e)^3 + 2710*A*tan(1/2*f*x + 1/2*e)^2 - 1410*B*tan(1/2*f*x + 1/2*e)^2 + 1760*A*tan(1/2*f*x + 1/2*e) - 900*B*tan(1/2*f*x + 1/2*e) + 463*A - 243*B)/(a^3*c^6*(tan(1/2*f*x + 1/2*e) + 1)^5) + (108405*A*tan(1/2*f*x + 1/2*e)^10 + 10395*B*tan(1/2*f*x + 1/2*e)^10 - 784080*A*tan(1/2*f*x + 1/2*e)^9 - 5940*B*tan(1/2*f*x + 1/2*e)^9 + 2901195*A*tan(1/2*f*x + 1/2*e)^8 - 79695*B*tan(1/2*f*x + 1/2*e)^8 - 6652800*A*tan(1/2*f*x + 1/2*e)^7 + 388080*B*tan(1/2*f*x + 1/2*e)^7 + 10407474*A*tan(1/2*f*x + 1/2*e)^6 - 816354*B*tan(1/2*f*x + 1/2*e)^6 - 11435424*A*tan(1/2*f*x + 1/2*e)^5 + 1114344*B*tan(1/2*f*x + 1/2*e)^5 + 8949270*A*tan(1/2*f*x + 1/2*e)^4 - 990990*B*tan(1/2*f*x + 1/2*e)^4 - 4899840*A*tan(1/2*f*x + 1/2*e)^3 + 609840*B*tan(1/2*f*x + 1/2*e)^3 + 1816265*A*tan(1/2*f*x + 1/2*e)^2 - 235785*B*tan(1/2*f*x + 1/2*e)^2 - 411664*A*tan(1/2*f*x + 1/2*e) + 56364*B*tan(1/2*f*x + 1/2*e) + 47279*A - 4179*B)/(a^3*c^6*(tan(1/2*f*x + 1/2*e) - 1)^11))/f","B",0
81,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(-112*f*(2*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-4*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(14*f*x+14*exp(1)+pi))/(112*f)^2+48*f*(8*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-6*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)-pi))/(48*f)^2-8*f*(10*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-4*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(8*f)^2+224*f*(16*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-10*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(14*f*x+14*exp(1)-pi))/(224*f)^2-144*f*(-2*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+4*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(18*f*x+18*exp(1)-pi))/(144*f)^2+16*f*(-8*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+6*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x+2*exp(1)+pi))/(16*f)^2+160*f*(-16*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+10*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)+pi))/(160*f)^2+24*A*a*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2-40*A*a*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2-576*B*a*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(18*f*x+18*exp(1)+pi))/(288*f)^2+704*B*a*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(22*f*x+22*exp(1)-pi))/(352*f)^2)","F(-2)",0
82,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(24*f*(2*A*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)-pi))/(24*f)^2+56*f*(2*A*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(14*f*x+14*exp(1)-pi))/(56*f)^2-8*f*(8*A*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(8*f)^2+8*f*(-2*A*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x+2*exp(1)+pi))/(8*f)^2+40*f*(-2*A*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)+pi))/(40*f)^2+24*A*a*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2-40*A*a*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2+224*B*a*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(14*f*x+14*exp(1)+pi))/(112*f)^2-288*B*a*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(18*f*x+18*exp(1)-pi))/(144*f)^2)","F(-2)",0
83,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(24*A*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2-40*A*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2-4*A*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(2*f)^2+16*B*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(2*f*x+2*exp(1)+pi))/(8*f)^2-48*B*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(6*f*x+6*exp(1)-pi))/(24*f)^2+80*B*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(10*f*x+10*exp(1)+pi))/(40*f)^2-112*B*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(14*f*x+14*exp(1)-pi))/(56*f)^2)","F(-2)",0
84,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(2*f*(2*A*a*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x+2*exp(1)+pi))/(2*f)^2-2*f*(4*A*a*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(2*f)^2+6*f*(-2*A*a*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)-pi))/(6*f)^2-24*B*a*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2+40*B*a*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2)","F(-2)",0
85,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(c*tan((f*x+exp(1))/2)^2+c)/(c*tan((f*x+exp(1))/2)^2+c)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(-1/144*tan((f*x+exp(1))/2)*(-72*A*a*c*sign(tan((f*x+exp(1))/2)-1)-96*B*a*c*sign(tan((f*x+exp(1))/2)-1))-1/144*(-72*A*a*c*sign(tan((f*x+exp(1))/2)-1)-144*B*a*c*sign(tan((f*x+exp(1))/2)-1)))-1/144*(-72*A*a*c*sign(tan((f*x+exp(1))/2)-1)-144*B*a*c*sign(tan((f*x+exp(1))/2)-1)))-1/144*(-72*A*a*c*sign(tan((f*x+exp(1))/2)-1)-96*B*a*c*sign(tan((f*x+exp(1))/2)-1)))+sqrt(2)*(2*A*a+2*B*a)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1)+(-6*A*a*c*sqrt(2)*atan(sqrt(c)/sqrt(-c))-3*A*a*sqrt(-c)*sqrt(2)*sqrt(c)-6*B*a*c*sqrt(2)*atan(sqrt(c)/sqrt(-c))-5*B*a*sqrt(-c)*sqrt(2)*sqrt(c))/3/c/sqrt(-c)*sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
86,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*sqrt(c*tan((f*x+exp(1))/2)^2+c)*(-1/2*B*a/c/sign(tan((f*x+exp(1))/2)-1)-1/2*B*a*tan((f*x+exp(1))/2)/c/sign(tan((f*x+exp(1))/2)-1))/(c*tan((f*x+exp(1))/2)^2+c)+2*(1/2*(-3*A*a*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-3*B*a*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+A*a*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-A*a*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+B*a*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-B*a*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-A*a*sqrt(c)*c-B*a*sqrt(c)*c)/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^2/c/sign(tan((f*x+exp(1))/2)-1)+1/2*(-A*a-5*B*a)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/sqrt(-c)/c/sign(tan((f*x+exp(1))/2)-1)))","F(-2)",0
87,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/16*(-17*A*a*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+7*B*a*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7-23*A*a*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+81*B*a*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-19*A*a*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+53*B*a*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+39*A*a*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-65*B*a*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+5*A*a*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+13*B*a*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+7*A*a*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-37*A*a*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-33*B*a*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+19*B*a*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-3*A*a*sqrt(c)*c^3+5*B*a*sqrt(c)*c^3)/c^2/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^4/sign(tan((f*x+exp(1))/2)-1)+1/16*(-A*a+7*B*a)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/c^2/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
88,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/192*(-195*A*a*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^11+9*B*a*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^11-609*A*a*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^10+483*B*a*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^10-1347*A*a*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9+393*B*a*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9+3*A*a*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8+183*B*a*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8+1842*A*a*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7-534*B*a*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+950*A*a*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-418*B*a*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-2358*A*a*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+1314*B*a*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-378*A*a*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-18*B*a*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+1153*A*a*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-707*B*a*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+105*A*a*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-741*A*a*sqrt(c)*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-123*B*a*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+111*B*a*sqrt(c)*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-25*A*a*sqrt(c)*c^5+11*B*a*sqrt(c)*c^5)/c^3/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^6/sign(tan((f*x+exp(1))/2)-1)+1/64*(-A*a+3*B*a)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/c^3/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
89,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(48*f*(2*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)-pi))/(48*f)^2+352*f*(2*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(22*f*x+22*exp(1)-pi))/(352*f)^2-288*f*(4*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(18*f*x+18*exp(1)-pi))/(288*f)^2+224*f*(6*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-6*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(14*f*x+14*exp(1)-pi))/(224*f)^2-16*f*(12*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(16*f)^2-320*f*(32*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(10*f*x+10*exp(1)-pi))/(320*f)^2+16*f*(-2*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x+2*exp(1)+pi))/(16*f)^2+288*f*(-2*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(18*f*x+18*exp(1)+pi))/(288*f)^2-224*f*(-4*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(14*f*x+14*exp(1)+pi))/(224*f)^2+160*f*(-6*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+6*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)+pi))/(160*f)^2-192*f*(-32*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)+pi))/(192*f)^2+1408*B*a^2*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(22*f*x+22*exp(1)+pi))/(704*f)^2-1664*B*a^2*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(26*f*x+26*exp(1)-pi))/(832*f)^2)","F(-2)",0
90,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(24*A*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2-40*A*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2+224*A*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(14*f*x+14*exp(1)+pi))/(112*f)^2-288*A*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(18*f*x+18*exp(1)-pi))/(144*f)^2-48*A*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(8*f)^2+32*B*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(2*f*x+2*exp(1)+pi))/(16*f)^2-96*B*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(6*f*x+6*exp(1)-pi))/(48*f)^2+960*B*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(10*f*x+10*exp(1)+pi))/(160*f)^2-1344*B*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(14*f*x+14*exp(1)-pi))/(224*f)^2+576*B*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(18*f*x+18*exp(1)+pi))/(288*f)^2-704*B*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(22*f*x+22*exp(1)-pi))/(352*f)^2)","F(-2)",0
91,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(8*f*(2*A*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x+2*exp(1)+pi))/(8*f)^2+40*f*(2*A*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)+pi))/(40*f)^2-8*f*(8*A*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(8*f)^2+24*f*(-2*A*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)-pi))/(24*f)^2+56*f*(-2*A*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(14*f*x+14*exp(1)-pi))/(56*f)^2+24*A*a^2*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2-40*A*a^2*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2-224*B*a^2*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(14*f*x+14*exp(1)+pi))/(112*f)^2+288*B*a^2*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(18*f*x+18*exp(1)-pi))/(144*f)^2)","F(-2)",0
92,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(-12*f*(2*A*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+4*B*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2-2*f*(6*A*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+4*B*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(2*f)^2+8*f*(16*A*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+14*B*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x+2*exp(1)+pi))/(8*f)^2-20*f*(-2*A*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2+24*f*(-16*A*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-14*B*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)-pi))/(24*f)^2-80*B*a^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(10*f*x+10*exp(1)+pi))/(40*f)^2+112*B*a^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(14*f*x+14*exp(1)-pi))/(56*f)^2)","F(-2)",0
93,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(c*tan((f*x+exp(1))/2)^2+c)/(c*tan((f*x+exp(1))/2)^2+c)^2*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(1/3600*tan((f*x+exp(1))/2)*(4200*A*a^2*c^2*sign(tan((f*x+exp(1))/2)-1)+4560*B*a^2*c^2*sign(tan((f*x+exp(1))/2)-1))+1/3600*(5400*A*a^2*c^2*sign(tan((f*x+exp(1))/2)-1)+7200*B*a^2*c^2*sign(tan((f*x+exp(1))/2)-1)))+1/3600*(9600*A*a^2*c^2*sign(tan((f*x+exp(1))/2)-1)+13200*B*a^2*c^2*sign(tan((f*x+exp(1))/2)-1)))+1/3600*(9600*A*a^2*c^2*sign(tan((f*x+exp(1))/2)-1)+13200*B*a^2*c^2*sign(tan((f*x+exp(1))/2)-1)))+1/3600*(5400*A*a^2*c^2*sign(tan((f*x+exp(1))/2)-1)+7200*B*a^2*c^2*sign(tan((f*x+exp(1))/2)-1)))+1/3600*(4200*A*a^2*c^2*sign(tan((f*x+exp(1))/2)-1)+4560*B*a^2*c^2*sign(tan((f*x+exp(1))/2)-1)))+sqrt(2)*(4*A*a^2+4*B*a^2)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1)+(-60*A*a^2*c*sqrt(2)*atan(sqrt(c)/sqrt(-c))-40*A*a^2*sqrt(-c)*sqrt(2)*sqrt(c)-60*B*a^2*c*sqrt(2)*atan(sqrt(c)/sqrt(-c))-52*B*a^2*sqrt(-c)*sqrt(2)*sqrt(c))/15/c/sqrt(-c)*sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
94,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(c*tan((f*x+exp(1))/2)^2+c)/(c*tan((f*x+exp(1))/2)^2+c)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(-1/144*tan((f*x+exp(1))/2)*(72*A*a^2*sign(tan((f*x+exp(1))/2)-1)+240*B*a^2*sign(tan((f*x+exp(1))/2)-1))-1/144*(72*A*a^2*sign(tan((f*x+exp(1))/2)-1)+288*B*a^2*sign(tan((f*x+exp(1))/2)-1)))-1/144*(72*A*a^2*sign(tan((f*x+exp(1))/2)-1)+288*B*a^2*sign(tan((f*x+exp(1))/2)-1)))-1/144*(72*A*a^2*sign(tan((f*x+exp(1))/2)-1)+240*B*a^2*sign(tan((f*x+exp(1))/2)-1)))+2*((-3*A*a^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-3*B*a^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+A*a^2*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-A*a^2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+B*a^2*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-B*a^2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-A*a^2*sqrt(c)*c-B*a^2*sqrt(c)*c)/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^2/c/sign(tan((f*x+exp(1))/2)-1)+1/2*(-6*A*a^2-14*B*a^2)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/sqrt(-c)/c/sign(tan((f*x+exp(1))/2)-1)))","F(-2)",0
95,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*sqrt(c*tan((f*x+exp(1))/2)^2+c)*(1/2*B*a^2/c^2/sign(tan((f*x+exp(1))/2)-1)+1/2*B*a^2*tan((f*x+exp(1))/2)/c^2/sign(tan((f*x+exp(1))/2)-1))/(c*tan((f*x+exp(1))/2)^2+c)+2*(1/8*(-5*A*a^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+19*B*a^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+29*A*a^2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+133*B*a^2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+17*A*a^2*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+89*B*a^2*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-13*A*a^2*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-117*B*a^2*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+9*A*a^2*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+17*B*a^2*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-13*A*a^2*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-9*A*a^2*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-53*B*a^2*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+47*B*a^2*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+A*a^2*sqrt(c)*c^3+9*B*a^2*sqrt(c)*c^3)/c^2/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^4/sign(tan((f*x+exp(1))/2)-1)+1/8*(3*A*a^2+27*B*a^2)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/c^2/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1)))","F(-2)",0
96,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/96*(-93*A*a^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^11-33*B*a^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^11-63*A*a^2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^10-171*B*a^2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^10-477*A*a^2*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9-1953*B*a^2*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9+93*A*a^2*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8-1503*B*a^2*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8+654*A*a^2*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+2214*B*a^2*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+266*A*a^2*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+722*B*a^2*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-522*A*a^2*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-978*B*a^2*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-198*A*a^2*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+1218*B*a^2*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+223*A*a^2*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-53*B*a^2*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-9*A*a^2*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-315*A*a^2*sqrt(c)*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+195*B*a^2*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-855*B*a^2*sqrt(c)*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-7*A*a^2*sqrt(c)*c^5-19*B*a^2*sqrt(c)*c^5)/c^3/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^6/sign(tan((f*x+exp(1))/2)-1)+1/32*(A*a^2-11*B*a^2)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/c^3/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
97,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(9/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/1536*(-1527*A*a^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^15-39*B*a^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^15-4473*A*a^2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^14+2487*B*a^2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^14-22233*A*a^2*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^13-7593*B*a^2*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^13-23811*A*a^2*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^12+1293*B*a^2*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^12+2133*A*a^2*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^11-1563*B*a^2*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^11+68019*A*a^2*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^10-10589*B*a^2*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^10+25371*A*a^2*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9+9355*B*a^2*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9-71487*A*a^2*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8-3055*B*a^2*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8-25173*A*a^2*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+7195*B*a^2*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+56469*A*a^2*sqrt(c)*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+15909*B*a^2*sqrt(c)*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-10971*A*a^2*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-2123*B*a^2*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-31881*A*a^2*sqrt(c)*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-3673*B*a^2*sqrt(c)*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+17079*A*a^2*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-5913*B*a^2*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+345*A*a^2*c^7*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-7695*A*a^2*sqrt(c)*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+41*B*a^2*c^7*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-3007*B*a^2*sqrt(c)*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-117*A*a^2*sqrt(c)*c^7-5*B*a^2*sqrt(c)*c^7)/c^4/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^8/sign(tan((f*x+exp(1))/2)-1)+1/512*(3*A*a^2-13*B*a^2)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/c^4/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
98,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(5760*A*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(6*f*x+6*exp(1)+pi))/(192*f)^2-9600*A*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(10*f*x+10*exp(1)-pi))/(320*f)^2+1344*A*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(14*f*x+14*exp(1)+pi))/(224*f)^2-1728*A*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(18*f*x+18*exp(1)-pi))/(288*f)^2+1408*A*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(22*f*x+22*exp(1)+pi))/(704*f)^2-1664*A*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(26*f*x+26*exp(1)-pi))/(832*f)^2-160*A*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(16*f)^2+1280*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(2*f*x+2*exp(1)+pi))/(128*f)^2-3840*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(6*f*x+6*exp(1)-pi))/(384*f)^2+11520*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(10*f*x+10*exp(1)+pi))/(640*f)^2-16128*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(14*f*x+14*exp(1)-pi))/(896*f)^2+11520*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(18*f*x+18*exp(1)+pi))/(1152*f)^2-14080*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(22*f*x+22*exp(1)-pi))/(1408*f)^2+3328*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(26*f*x+26*exp(1)+pi))/(1664*f)^2-3840*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(30*f*x+30*exp(1)-pi))/(1920*f)^2)","F(-2)",0
99,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(16*f*(2*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x+2*exp(1)+pi))/(16*f)^2+288*f*(2*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(18*f*x+18*exp(1)+pi))/(288*f)^2-288*f*(4*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(18*f*x+18*exp(1)-pi))/(288*f)^2+160*f*(6*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+6*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)+pi))/(160*f)^2-16*f*(12*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(16*f)^2-320*f*(32*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(10*f*x+10*exp(1)-pi))/(320*f)^2+48*f*(-2*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)-pi))/(48*f)^2+352*f*(-2*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(22*f*x+22*exp(1)-pi))/(352*f)^2-224*f*(-4*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(14*f*x+14*exp(1)+pi))/(224*f)^2+224*f*(-6*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-6*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(14*f*x+14*exp(1)-pi))/(224*f)^2-192*f*(-32*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)+pi))/(192*f)^2-1408*B*a^3*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(22*f*x+22*exp(1)+pi))/(704*f)^2+1664*B*a^3*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(26*f*x+26*exp(1)-pi))/(832*f)^2)","F(-2)",0
100,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(-112*f*(2*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+4*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(14*f*x+14*exp(1)+pi))/(112*f)^2+16*f*(8*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+6*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x+2*exp(1)+pi))/(16*f)^2-8*f*(10*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+4*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(8*f)^2+160*f*(16*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+10*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)+pi))/(160*f)^2-144*f*(-2*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(18*f*x+18*exp(1)-pi))/(144*f)^2+48*f*(-8*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-6*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)-pi))/(48*f)^2+224*f*(-16*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-10*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(14*f*x+14*exp(1)-pi))/(224*f)^2+24*A*a^3*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2-40*A*a^3*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2-576*B*a^3*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(18*f*x+18*exp(1)+pi))/(288*f)^2+704*B*a^3*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(22*f*x+22*exp(1)-pi))/(352*f)^2)","F(-2)",0
101,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*c)*(56*f*(2*A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+6*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(14*f*x+14*exp(1)-pi))/(56*f)^2-12*f*(6*A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+8*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2+8*f*(30*A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+26*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x+2*exp(1)+pi))/(8*f)^2-8*f*(40*A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+30*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x-pi)+1/2*exp(1))/(8*f)^2+40*f*(-2*A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-6*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)+pi))/(40*f)^2-20*f*(-6*A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-8*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2+24*f*(-30*A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-26*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)-pi))/(24*f)^2+224*B*a^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(14*f*x+14*exp(1)+pi))/(112*f)^2-288*B*a^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(18*f*x+18*exp(1)-pi))/(144*f)^2)","F(-2)",0
102,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(c*tan((f*x+exp(1))/2)^2+c)/(c*tan((f*x+exp(1))/2)^2+c)^3*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(-1/2822400*tan((f*x+exp(1))/2)*(-6867840*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-7069440*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1))-1/2822400*(-9878400*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-11289600*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)))-1/2822400*(-24743040*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-28976640*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)))-1/2822400*(-27753600*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-34809600*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)))-1/2822400*(-27753600*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-34809600*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)))-1/2822400*(-24743040*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-28976640*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)))-1/2822400*(-9878400*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-11289600*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)))-1/2822400*(-6867840*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-7069440*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)))+sqrt(2)*(8*A*a^3+8*B*a^3)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1)+(-840*A*a^3*c*sqrt(2)*atan(sqrt(c)/sqrt(-c))-644*A*a^3*sqrt(-c)*sqrt(2)*sqrt(c)-840*B*a^3*c*sqrt(2)*atan(sqrt(c)/sqrt(-c))-764*B*a^3*sqrt(-c)*sqrt(2)*sqrt(c))/105/c/sqrt(-c)*sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
103,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(c*tan((f*x+exp(1))/2)^2+c)/(c*tan((f*x+exp(1))/2)^2+c)^2*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(1/3600*tan((f*x+exp(1))/2)*(-7800*A*a^3*c*sign(tan((f*x+exp(1))/2)-1)-16560*B*a^3*c*sign(tan((f*x+exp(1))/2)-1))+1/3600*(-9000*A*a^3*c*sign(tan((f*x+exp(1))/2)-1)-21600*B*a^3*c*sign(tan((f*x+exp(1))/2)-1)))+1/3600*(-16800*A*a^3*c*sign(tan((f*x+exp(1))/2)-1)-39600*B*a^3*c*sign(tan((f*x+exp(1))/2)-1)))+1/3600*(-16800*A*a^3*c*sign(tan((f*x+exp(1))/2)-1)-39600*B*a^3*c*sign(tan((f*x+exp(1))/2)-1)))+1/3600*(-9000*A*a^3*c*sign(tan((f*x+exp(1))/2)-1)-21600*B*a^3*c*sign(tan((f*x+exp(1))/2)-1)))+1/3600*(-7800*A*a^3*c*sign(tan((f*x+exp(1))/2)-1)-16560*B*a^3*c*sign(tan((f*x+exp(1))/2)-1)))+2*((-6*A*a^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-6*B*a^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+2*A*a^3*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-2*A*a^3*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+2*B*a^3*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-2*B*a^3*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*A*a^3*sqrt(c)*c-2*B*a^3*sqrt(c)*c)/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^2/c/sign(tan((f*x+exp(1))/2)-1)+1/2*(-20*A*a^3-36*B*a^3)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/sqrt(-c)/c/sign(tan((f*x+exp(1))/2)-1)))","F(-2)",0
104,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(c*tan((f*x+exp(1))/2)^2+c)/(c*tan((f*x+exp(1))/2)^2+c)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(-1/144*tan((f*x+exp(1))/2)*(-72*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-384*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1))/c^4-1/144*(-72*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-432*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1))/c^4)-1/144*(-72*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-432*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1))/c^4)-1/144*(-72*A*a^3*c^3*sign(tan((f*x+exp(1))/2)-1)-384*B*a^3*c^3*sign(tan((f*x+exp(1))/2)-1))/c^4)+2*(1/4*(7*A*a^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+31*B*a^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+81*A*a^3*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+185*B*a^3*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+53*A*a^3*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+125*B*a^3*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-65*A*a^3*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-169*B*a^3*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+13*A*a^3*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+21*B*a^3*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-33*A*a^3*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+19*A*a^3*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-73*B*a^3*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+75*B*a^3*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+5*A*a^3*sqrt(c)*c^3+13*B*a^3*sqrt(c)*c^3)/c^2/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^4/sign(tan((f*x+exp(1))/2)-1)+1/4*(15*A*a^3+55*B*a^3)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/c^2/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1)))","F(-2)",0
105,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(sin((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (8*pi/t_nostep/2)>(-8*pi/t_nostep/2)Discontinuities at zeroes of sin((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep-1)]Evaluation time: 2.23Not invertible Error: Bad Argument Value","F(-2)",0
106,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(9/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/768*(-783*A*a^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^15+225*B*a^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^15-993*A*a^3*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^14+4911*B*a^3*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^14-14913*A*a^3*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^13+14031*B*a^3*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^13-11259*A*a^3*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^12+77493*B*a^3*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^12+285*A*a^3*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^11+54861*B*a^3*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^11+28715*A*a^3*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^10-124293*B*a^3*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^10+17363*A*a^3*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9-73821*B*a^3*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9-37271*A*a^3*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8+89817*B*a^3*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8-8989*A*a^3*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7-10317*B*a^3*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+36189*A*a^3*sqrt(c)*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-32115*B*a^3*sqrt(c)*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-6547*A*a^3*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+71325*B*a^3*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-17777*A*a^3*sqrt(c)*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-7521*B*a^3*sqrt(c)*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+5583*A*a^3*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-35361*B*a^3*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+193*A*a^3*c^7*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-5351*A*a^3*sqrt(c)*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2127*B*a^3*c^7*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+10377*B*a^3*sqrt(c)*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-61*A*a^3*sqrt(c)*c^7+147*B*a^3*sqrt(c)*c^7)/c^4/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^8/sign(tan((f*x+exp(1))/2)-1)+1/256*(-5*A*a^3+75*B*a^3)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/c^4/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
107,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(11/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/15360*(-15405*A*a^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^19+255*B*a^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^19-46935*A*a^3*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^18+35565*B*a^3*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^18-452265*A*a^3*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^17-43245*B*a^3*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^17-812175*A*a^3*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^16+583125*B*a^3*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^16-1157268*A*a^3*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^15+270492*B*a^3*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^15+999780*A*a^3*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^14-320140*B*a^3*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^14+2949420*A*a^3*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^13-308900*B*a^3*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^13+775380*A*a^3*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^12-768860*B*a^3*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^12-3937830*A*a^3*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^11+820610*B*a^3*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^11-1793586*A*a^3*sqrt(c)*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^10+507334*B*a^3*sqrt(c)*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^10+4240770*A*a^3*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9-1492790*B*a^3*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9+850830*A*a^3*sqrt(c)*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8+308870*B*a^3*sqrt(c)*c^5*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8-3213060*A*a^3*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+1434220*B*a^3*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+712020*A*a^3*sqrt(c)*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-164060*B*a^3*sqrt(c)*c^6*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+805596*A*a^3*c^7*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-284724*B*a^3*c^7*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-1056540*A*a^3*sqrt(c)*c^7*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-54540*B*a^3*sqrt(c)*c^7*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+289515*A*a^3*c^8*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-253065*B*a^3*c^8*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+3615*A*a^3*c^9*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-114735*A*a^3*sqrt(c)*c^8*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-5125*B*a^3*c^9*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+10165*B*a^3*sqrt(c)*c^8*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-951*A*a^3*sqrt(c)*c^9+269*B*a^3*sqrt(c)*c^9)/c^5/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^10/sign(tan((f*x+exp(1))/2)-1)+1/1024*(-3*A*a^3+17*B*a^3)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/c^5/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
108,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2)/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2)/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
110,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2)/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
111,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2)/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (8*pi/x/2)>(-8*pi/x/2)Unable to check sign: (8*pi/x/2)>(-8*pi/x/2)Unable to check sign: (8*pi/x/2)>(-8*pi/x/2)Unable to check sign: (8*pi/x/2)>(-8*pi/x/2)4*sqrt(2*c)*((70368744177664*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))-140737488355328*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))+70368744177664*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^2+70368744177664*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^3-422212465065984*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2+703687441776640*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3+633318697598976*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^4-211106232532992*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^5-1055531162664960*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2+1055531162664960*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^4-70368744177664*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^6+70368744177664*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))-211106232532992*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))-140737488355328*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^2+211106232532992*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2-2111062325329920*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3-844424930131968*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^4+633318697598976*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^5-70368744177664*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^6+2111062325329920*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^2-1407374883553280*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^3-2111062325329920*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^4+422212465065984*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^5+140737488355328*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^6-281474976710656*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))+633318697598976*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))+422212465065984*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))-422212465065984*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^2*tan(1/2*exp(1))^2+703687441776640*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^2*tan(1/2*exp(1))^3+633318697598976*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^2*tan(1/2*exp(1))^4-211106232532992*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^2*tan(1/2*exp(1))^5-1055531162664960*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^2*tan(1/4*exp(1))^2+1055531162664960*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^2*tan(1/4*exp(1))^4-70368744177664*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^2*tan(1/4*exp(1))^6-211106232532992*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^2*tan(1/2*exp(1))-422212465065984*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^3*tan(1/2*exp(1))^2-703687441776640*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^3*tan(1/2*exp(1))^3+633318697598976*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^3*tan(1/2*exp(1))^4+211106232532992*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^3*tan(1/2*exp(1))^5-1055531162664960*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^3*tan(1/4*exp(1))^2+1055531162664960*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^3*tan(1/4*exp(1))^4-70368744177664*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^3*tan(1/4*exp(1))^6+211106232532992*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))^3*tan(1/2*exp(1))+6333186975989760*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))^2+12666373951979520*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))^3-6333186975989760*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))^4-3799912185593856*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))^5+422212465065984*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))^6-3799912185593856*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))-10555311626649600*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3*tan(1/4*exp(1))^2+14073748835532800*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3*tan(1/4*exp(1))^3+10555311626649600*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3*tan(1/4*exp(1))^4-4222124650659840*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3*tan(1/4*exp(1))^5-703687441776640*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3*tan(1/4*exp(1))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1)))*tan(1/2*exp(1))^6*tan(1/4*exp(1))^6-1688849860263936*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))^6*tan(1/4*exp(1))-3166593487994880*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))*tan(1/4*exp(1))^2-4222124650659840*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))*tan(1/4*exp(1))^3+3166593487994880*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))*tan(1/4*exp(1))^4+1266637395197952*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))*tan(1/4*exp(1))^5-211106232532992*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))*tan(1/4*exp(1))^6+1266637395197952*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))*tan(1/4*exp(1)))/(422212465065984*a*tan(1/2*exp(1))-140737488355328*a*tan(1/2*exp(1))^3*tan(1/4*exp(1))^6+422212465065984*a*tan(1/2*exp(1))^2*tan(1/4*exp(1))^6-422212465065984*a*tan(1/2*exp(1))^3*tan(1/4*exp(1))^4-140737488355328*a*tan(1/4*exp(1))^6+1266637395197952*a*tan(1/2*exp(1))^2*tan(1/4*exp(1))^4-422212465065984*a*tan(1/2*exp(1))^3*tan(1/4*exp(1))^2-422212465065984*a*tan(1/4*exp(1))^4+1266637395197952*a*tan(1/2*exp(1))^2*tan(1/4*exp(1))^2-140737488355328*a*tan(1/2*exp(1))^3+422212465065984*a*tan(1/2*exp(1))^2-422212465065984*a*tan(1/4*exp(1))^2+1266637395197952*a*tan(1/2*exp(1))*tan(1/4*exp(1))^2+1266637395197952*a*tan(1/2*exp(1))*tan(1/4*exp(1))^4+422212465065984*a*tan(1/2*exp(1))*tan(1/4*exp(1))^6-140737488355328*a)/(-2*tan(1/2*(1/2*f*x+2*exp(1)))^3-6*tan(1/2*(1/2*f*x+2*exp(1)))^3*tan(1/2*exp(1))+tan(1/2*(1/2*f*x+2*exp(1)))^4*tan(1/2*exp(1))^3+2*tan(1/2*(1/2*f*x+2*exp(1)))^3*tan(1/2*exp(1))^3-3*tan(1/2*(1/2*f*x+2*exp(1)))^4*tan(1/2*exp(1))^2+6*tan(1/2*(1/2*f*x+2*exp(1)))^3*tan(1/2*exp(1))^2+tan(1/2*(1/2*f*x+2*exp(1)))^4-tan(1/2*exp(1))^3+3*tan(1/2*exp(1))^2-3*tan(1/2*(1/2*f*x+2*exp(1)))^4*tan(1/2*exp(1))+6*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))^2+2*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))^3-6*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))-2*tan(1/2*(1/2*f*x+2*exp(1)))+3*tan(1/2*exp(1))-1)+1/2*(79228162514264337593543950336*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3-1584563250285286751870879006720*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^3+475368975085586025561263702016*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^5-237684487542793012780631851008*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))+475368975085586025561263702016*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))-79228162514264337593543950336*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3+1584563250285286751870879006720*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^3-475368975085586025561263702016*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))^5+237684487542793012780631851008*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))-475368975085586025561263702016*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/4*exp(1))+4753689750855860255612637020160*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))^3-1426106925256758076683791106048*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))^5-1426106925256758076683791106048*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))-1188422437713965063903159255040*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3*tan(1/4*exp(1))^2+1188422437713965063903159255040*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3*tan(1/4*exp(1))^4-79228162514264337593543950336*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3*tan(1/4*exp(1))^6+3565267313141895191709477765120*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))*tan(1/4*exp(1))^2-3565267313141895191709477765120*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))*tan(1/4*exp(1))^4+237684487542793012780631851008*sqrt(2)*A*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))*tan(1/4*exp(1))^6-4753689750855860255612637020160*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))^3+1426106925256758076683791106048*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))^5+1426106925256758076683791106048*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^2*tan(1/4*exp(1))+1188422437713965063903159255040*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3*tan(1/4*exp(1))^2-1188422437713965063903159255040*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3*tan(1/4*exp(1))^4+79228162514264337593543950336*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))^3*tan(1/4*exp(1))^6-3565267313141895191709477765120*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))*tan(1/4*exp(1))^2+3565267313141895191709477765120*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))*tan(1/4*exp(1))^4-237684487542793012780631851008*sqrt(2)*B*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*tan(1/2*exp(1))*tan(1/4*exp(1))^6)*ln(abs(2*tan(1/2*exp(1))^3-2*sqrt(2)*sqrt(tan(1/2*exp(1))^2+1)*(tan(1/2*exp(1))^2+1)+6*tan(1/2*exp(1))^2-6*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))^2+2*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))^3-6*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))+2*tan(1/2*(1/2*f*x+2*exp(1)))-6*tan(1/2*exp(1))-2)/abs(2*tan(1/2*exp(1))^3+2*sqrt(2)*sqrt(tan(1/2*exp(1))^2+1)*(tan(1/2*exp(1))^2+1)+6*tan(1/2*exp(1))^2-6*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))^2+2*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))^3-6*tan(1/2*(1/2*f*x+2*exp(1)))*tan(1/2*exp(1))+2*tan(1/2*(1/2*f*x+2*exp(1)))-6*tan(1/2*exp(1))-2))/sqrt(2)/sqrt(tan(1/2*exp(1))^2+1)/(tan(1/2*exp(1))^2+1)/(158456325028528675187087900672*a*tan(1/4*exp(1))^6+475368975085586025561263702016*a*tan(1/4*exp(1))^4+475368975085586025561263702016*a*tan(1/4*exp(1))^2+158456325028528675187087900672*a))/f","F(-2)",0
112,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(sin((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (8*pi/t_nostep/2)>(-8*pi/t_nostep/2)Discontinuities at zeroes of sin((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep-1)]index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
113,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(-1/4*(-A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-A*sqrt(c)+B*sqrt(c))/a/c/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)/sign(tan((f*x+exp(1))/2)-1)+1/8*(-3*A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-3*B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+A*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-A*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+B*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-B*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-A*sqrt(c)*c-B*sqrt(c)*c)/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^2/a/c/sign(tan((f*x+exp(1))/2)-1)+1/8*(3*A-B)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/sqrt(-c)/a/c/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
114,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(-1/8*(-A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-A*sqrt(c)+B*sqrt(c))/c^2/a/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)/sign(tan((f*x+exp(1))/2)-1)+1/64*(-41*A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7-17*B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7-127*A*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-23*B*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-91*A*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-19*B*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+143*A*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+39*B*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-3*A*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+5*B*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+47*A*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-93*A*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+7*B*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-37*B*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-11*A*sqrt(c)*c^3-3*B*sqrt(c)*c^3)/c^2/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^4/a/sign(tan((f*x+exp(1))/2)-1)+1/64*(15*A-9*B)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/c^2/sqrt(-c)/a/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
115,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(9/2)/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
116,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2)/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
117,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2)/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2)/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2)/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
120,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(sin((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (8*pi/t_nostep/2)>(-8*pi/t_nostep/2)Discontinuities at zeroes of sin((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep-1)]index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
121,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/16*(-3*A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-3*B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+A*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-A*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+B*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-B*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-A*sqrt(c)*c-B*sqrt(c)*c)/a^2/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^2/c/sign(tan((f*x+exp(1))/2)-1)-1/12*(-6*A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+3*B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+12*A*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-3*B*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+8*A*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-2*B*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-18*A*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-24*A*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+3*B*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+6*B*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-4*A*sqrt(c)*c^2+B*sqrt(c)*c^2)/a^2/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^3/c/sign(tan((f*x+exp(1))/2)-1)+1/16*(5*A+B)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/a^2/sqrt(-c)/c/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
122,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(-1/48*(-15*A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+9*B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+33*A*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-15*B*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+22*A*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-10*B*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-51*A*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-66*A*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+21*B*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+30*B*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-11*A*sqrt(c)*c^2+5*B*sqrt(c)*c^2)/a^2/c^2/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^3/sign(tan((f*x+exp(1))/2)-1)+1/128*(-53*A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7-29*B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7-179*A*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-75*B*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-127*A*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-55*B*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+195*A*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+91*B*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-7*A*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+B*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+67*A*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-121*A*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+27*B*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-65*B*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-15*A*sqrt(c)*c^3-7*B*sqrt(c)*c^3)/a^2/c^2/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^4/sign(tan((f*x+exp(1))/2)-1)+1/128*(35*A-5*B)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/a^2/c^2/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
123,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(9/2)/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
124,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2)/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
125,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2)/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
126,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2)/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
127,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2)/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(sin((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (8*pi/t_nostep/2)>(-8*pi/t_nostep/2)Discontinuities at zeroes of sin((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep-1)]Evaluation time: 0.43index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
129,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/32*(-3*A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-3*B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+A*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-A*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+B*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-B*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-A*sqrt(c)*c-B*sqrt(c)*c)/a^3/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^2/c/sign(tan((f*x+exp(1))/2)-1)-1/240*(-165*A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9+45*B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9+795*A*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8-75*B*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8-1100*A*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+60*B*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7-1180*A*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+60*B*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+2618*A*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+102*B*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+1130*A*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+150*B*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-1980*A*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-180*B*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-605*A*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-1900*A*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-75*B*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-180*B*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-77*A*sqrt(c)*c^4-3*B*sqrt(c)*c^4)/a^3/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^5/c/sign(tan((f*x+exp(1))/2)-1)+1/32*(7*A+3*B)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/a^3/sqrt(-c)/c/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
130,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/256*(-65*A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7-41*B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7-231*A*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-127*B*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6-163*A*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-91*B*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+247*A*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4+143*B*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-11*A*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-3*B*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+87*A*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-149*A*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+47*B*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-93*B*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-19*A*sqrt(c)*c^3-11*B*sqrt(c)*c^3)/a^3/c^2/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^4/sign(tan((f*x+exp(1))/2)-1)-1/240*(-120*A*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9+45*B*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^9+630*A*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8-165*B*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^8-900*A*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7+200*B*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^7-960*A*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+220*B*sqrt(c)*c*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^6+2244*A*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5-374*B*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^5+1020*A*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-110*B*sqrt(c)*c^2*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^4-1740*A*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3+240*B*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^3-540*A*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))-1680*A*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+65*B*c^4*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+220*B*sqrt(c)*c^3*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2-66*A*sqrt(c)*c^4+11*B*sqrt(c)*c^4)/a^3/c^2/(-(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))^2+2*sqrt(c)*(-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c*tan((f*x+exp(1))/2)^2+c))+c)^5/sign(tan((f*x+exp(1))/2)-1)+1/256*(63*A+7*B)*atan((-sqrt(c)*tan((f*x+exp(1))/2)+sqrt(c)+sqrt(c*tan((f*x+exp(1))/2)^2+c))/sqrt(2)/sqrt(-c))/sqrt(2)/a^3/c^2/sqrt(-c)/sign(tan((f*x+exp(1))/2)-1))","F(-2)",0
131,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2)*(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(32*f*(A*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-3*B*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-2*f*x-2*exp(1))/(-32*f)^2+96*f*(12*A*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-15*B*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(3*f*x+3*exp(1))/(96*f)^2-32*f*(15*A*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-13*B*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(32*f)^2-64*f*(-A*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+3*B*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(4*f*x+4*exp(1))/(64*f)^2+16*f*(-14*A*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+7*B*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(16*f)^2+160*B*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(5*f*x+5*exp(1))/(160*f)^2)","F(-2)",0
132,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2)*(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(24*f*(A*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(3*f*x+3*exp(1))/(24*f)^2-32*f*(8*A*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-7*B*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(32*f)^2+8*f*(-5*A*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(8*f)^2-64*B*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(4*f*x+4*exp(1))/(64*f)^2-32*B*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(-2*f*x-2*exp(1))/(-32*f)^2)","F(-2)",0
133,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2)*(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(-8*f*(A*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(8*f)^2+8*f*(-4*A*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+B*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(8*f)^2-24*B*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(3*f*x+3*exp(1))/(24*f)^2)","F(-2)",0
134,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2)*(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(-2*A*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(f*x+exp(1))/(2*f)^2+8*B*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(2*f*x+2*exp(1))/(8*f)^2)","F(-2)",0
135,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(a+a*sin(f*x+e))^(1/2)/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (8*pi/x/2)>(-8*pi/x/2)4*sqrt(2*a)*(A*sqrt(c*tan(1/2*exp(1))^2+c)*(-12582912*tan(1/2*exp(1))^5-37748736*tan(1/2*exp(1))^4+41943040*tan(1/2*exp(1))^3+25165824*tan(1/2*exp(1))^2-12582912*tan(1/2*exp(1))-4194304)+B*sqrt(c*tan(1/2*exp(1))^2+c)*(-12582912*tan(1/2*exp(1))^5-37748736*tan(1/2*exp(1))^4+41943040*tan(1/2*exp(1))^3+25165824*tan(1/2*exp(1))^2-12582912*tan(1/2*exp(1))-4194304)+A*sqrt(c*tan(1/2*exp(1))^2+c)*(12582912*tan(1/2*exp(1))^5+37748736*tan(1/2*exp(1))^4-41943040*tan(1/2*exp(1))^3-25165824*tan(1/2*exp(1))^2+12582912*tan(1/2*exp(1))+4194304)*tan(1/4*exp(1))^6+A*sqrt(c*tan(1/2*exp(1))^2+c)*(83886080*tan(1/2*exp(1))^6+251658240*tan(1/2*exp(1))^5-503316480*tan(1/2*exp(1))^4-838860800*tan(1/2*exp(1))^3+754974720*tan(1/2*exp(1))^2+251658240*tan(1/2*exp(1)))*tan(1/4*exp(1))^3+A*sqrt(c*tan(1/2*exp(1))^2+c)*(188743680*tan(1/2*exp(1))^5+566231040*tan(1/2*exp(1))^4-629145600*tan(1/2*exp(1))^3-377487360*tan(1/2*exp(1))^2+188743680*tan(1/2*exp(1))+62914560)*tan(1/4*exp(1))^2+A*sqrt(c*tan(1/2*exp(1))^2+c)*(-25165824*tan(1/2*exp(1))^6-75497472*tan(1/2*exp(1))^5+150994944*tan(1/2*exp(1))^4+251658240*tan(1/2*exp(1))^3-226492416*tan(1/2*exp(1))^2-75497472*tan(1/2*exp(1)))*tan(1/4*exp(1))^5+A*sqrt(c*tan(1/2*exp(1))^2+c)*(-25165824*tan(1/2*exp(1))^6-75497472*tan(1/2*exp(1))^5+150994944*tan(1/2*exp(1))^4+251658240*tan(1/2*exp(1))^3-226492416*tan(1/2*exp(1))^2-75497472*tan(1/2*exp(1)))*tan(1/4*exp(1))+A*sqrt(c*tan(1/2*exp(1))^2+c)*(-188743680*tan(1/2*exp(1))^5-566231040*tan(1/2*exp(1))^4+629145600*tan(1/2*exp(1))^3+377487360*tan(1/2*exp(1))^2-188743680*tan(1/2*exp(1))-62914560)*tan(1/4*exp(1))^4+B*sqrt(c*tan(1/2*exp(1))^2+c)*(12582912*tan(1/2*exp(1))^5+37748736*tan(1/2*exp(1))^4-41943040*tan(1/2*exp(1))^3-25165824*tan(1/2*exp(1))^2+12582912*tan(1/2*exp(1))+4194304)*tan(1/4*exp(1))^6+B*sqrt(c*tan(1/2*exp(1))^2+c)*(83886080*tan(1/2*exp(1))^6+251658240*tan(1/2*exp(1))^5-503316480*tan(1/2*exp(1))^4-838860800*tan(1/2*exp(1))^3+754974720*tan(1/2*exp(1))^2+251658240*tan(1/2*exp(1)))*tan(1/4*exp(1))^3+B*sqrt(c*tan(1/2*exp(1))^2+c)*(188743680*tan(1/2*exp(1))^5+566231040*tan(1/2*exp(1))^4-629145600*tan(1/2*exp(1))^3-377487360*tan(1/2*exp(1))^2+188743680*tan(1/2*exp(1))+62914560)*tan(1/4*exp(1))^2+B*sqrt(c*tan(1/2*exp(1))^2+c)*(-25165824*tan(1/2*exp(1))^6-75497472*tan(1/2*exp(1))^5+150994944*tan(1/2*exp(1))^4+251658240*tan(1/2*exp(1))^3-226492416*tan(1/2*exp(1))^2-75497472*tan(1/2*exp(1)))*tan(1/4*exp(1))^5+B*sqrt(c*tan(1/2*exp(1))^2+c)*(-25165824*tan(1/2*exp(1))^6-75497472*tan(1/2*exp(1))^5+150994944*tan(1/2*exp(1))^4+251658240*tan(1/2*exp(1))^3-226492416*tan(1/2*exp(1))^2-75497472*tan(1/2*exp(1)))*tan(1/4*exp(1))+B*sqrt(c*tan(1/2*exp(1))^2+c)*(-188743680*tan(1/2*exp(1))^5-566231040*tan(1/2*exp(1))^4+629145600*tan(1/2*exp(1))^3+377487360*tan(1/2*exp(1))^2-188743680*tan(1/2*exp(1))-62914560)*tan(1/4*exp(1))^4)*ln(abs(-2*tan(1/2*exp(1))^3+6*tan(1/2*exp(1))^2+(tan(1/2*(1/2*f*x+2*exp(1)))-1/tan(1/2*(1/2*f*x+2*exp(1))))*(tan(1/2*exp(1))^3+3*tan(1/2*exp(1))^2-3*tan(1/2*exp(1))-1)+6*tan(1/2*exp(1))-2))/f/(-8388608*sqrt(2)*c*tan(1/2*exp(1))^7+8388608*sqrt(2)*c+(-8388608*sqrt(2)*c*tan(1/2*exp(1))^7-25165824*sqrt(2)*c*tan(1/2*exp(1))^6+8388608*sqrt(2)*c*tan(1/2*exp(1))^5-41943040*sqrt(2)*c*tan(1/2*exp(1))^4+41943040*sqrt(2)*c*tan(1/2*exp(1))^3-8388608*sqrt(2)*c*tan(1/2*exp(1))^2+8388608*sqrt(2)*c+25165824*sqrt(2)*c*tan(1/2*exp(1)))*tan(1/4*exp(1))^6+(-25165824*sqrt(2)*c*tan(1/2*exp(1))^7-75497472*sqrt(2)*c*tan(1/2*exp(1))^6+25165824*sqrt(2)*c*tan(1/2*exp(1))^5-125829120*sqrt(2)*c*tan(1/2*exp(1))^4+125829120*sqrt(2)*c*tan(1/2*exp(1))^3-25165824*sqrt(2)*c*tan(1/2*exp(1))^2+25165824*sqrt(2)*c+75497472*sqrt(2)*c*tan(1/2*exp(1)))*tan(1/4*exp(1))^2+(-25165824*sqrt(2)*c*tan(1/2*exp(1))^7-75497472*sqrt(2)*c*tan(1/2*exp(1))^6+25165824*sqrt(2)*c*tan(1/2*exp(1))^5-125829120*sqrt(2)*c*tan(1/2*exp(1))^4+125829120*sqrt(2)*c*tan(1/2*exp(1))^3-25165824*sqrt(2)*c*tan(1/2*exp(1))^2+25165824*sqrt(2)*c+75497472*sqrt(2)*c*tan(1/2*exp(1)))*tan(1/4*exp(1))^4-25165824*sqrt(2)*c*tan(1/2*exp(1))^6+8388608*sqrt(2)*c*tan(1/2*exp(1))^5-41943040*sqrt(2)*c*tan(1/2*exp(1))^4+41943040*sqrt(2)*c*tan(1/2*exp(1))^3-8388608*sqrt(2)*c*tan(1/2*exp(1))^2+25165824*sqrt(2)*c*tan(1/2*exp(1)))","F(-2)",0
136,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(a+a*sin(f*x+e))^(1/2)/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(a+a*sin(f*x+e))^(1/2)/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
138,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(a+a*sin(f*x+e))^(1/2)/(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
139,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(160*f*(A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(5*f*x+5*exp(1))/(160*f)^2-64*f*(4*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-3*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(64*f)^2-256*f*(8*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-5*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(4*f*x+4*exp(1))/(256*f)^2+96*f*(-3*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(3*f*x+3*exp(1))/(96*f)^2+16*f*(-7*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(16*f)^2+128*f*(-8*A*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+5*B*a*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-2*f*x-2*exp(1))/(-128*f)^2-384*B*a*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(6*f*x+6*exp(1))/(384*f)^2-256*B*a*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(-4*f*x-4*exp(1))/(-256*f)^2)","F(-2)",0
140,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(-32*f*(A*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(32*f)^2-64*f*(A*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(4*f*x+4*exp(1))/(64*f)^2+32*f*(-A*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+B*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-2*f*x-2*exp(1))/(-32*f)^2+96*f*(-4*A*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(3*f*x+3*exp(1))/(96*f)^2+16*f*(-6*A*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+B*a*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(16*f)^2-160*B*a*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(5*f*x+5*exp(1))/(160*f)^2)","F(-2)",0
141,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(-24*A*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(f*x+exp(1))/(8*f)^2-24*A*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(3*f*x+3*exp(1))/(24*f)^2+32*B*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(2*f*x+2*exp(1))/(32*f)^2+64*B*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(4*f*x+4*exp(1))/(64*f)^2+32*B*a*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(-2*f*x-2*exp(1))/(-32*f)^2)","F(-2)",0
142,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(-8*f*(-A*a*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(8*f)^2+8*f*(-4*A*a*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(8*f)^2+24*B*a*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(3*f*x+3*exp(1))/(24*f)^2)","F(-2)",0
143,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (8*pi/x/2)>(-8*pi/x/2)4*sqrt(2*a)*(A*a*sqrt(c*tan(1/2*exp(1))^2+c)*(-27021597764222976*tan(1/2*exp(1))^5-81064793292668928*tan(1/2*exp(1))^4+90071992547409920*tan(1/2*exp(1))^3+54043195528445952*tan(1/2*exp(1))^2-27021597764222976*tan(1/2*exp(1))-9007199254740992)+B*a*sqrt(c*tan(1/2*exp(1))^2+c)*(-27021597764222976*tan(1/2*exp(1))^5-81064793292668928*tan(1/2*exp(1))^4+90071992547409920*tan(1/2*exp(1))^3+54043195528445952*tan(1/2*exp(1))^2-27021597764222976*tan(1/2*exp(1))-9007199254740992)+A*a*sqrt(c*tan(1/2*exp(1))^2+c)*(27021597764222976*tan(1/2*exp(1))^5+81064793292668928*tan(1/2*exp(1))^4-90071992547409920*tan(1/2*exp(1))^3-54043195528445952*tan(1/2*exp(1))^2+27021597764222976*tan(1/2*exp(1))+9007199254740992)*tan(1/4*exp(1))^6+A*a*sqrt(c*tan(1/2*exp(1))^2+c)*(180143985094819840*tan(1/2*exp(1))^6+540431955284459520*tan(1/2*exp(1))^5-1080863910568919040*tan(1/2*exp(1))^4-1801439850948198400*tan(1/2*exp(1))^3+1621295865853378560*tan(1/2*exp(1))^2+540431955284459520*tan(1/2*exp(1)))*tan(1/4*exp(1))^3+A*a*sqrt(c*tan(1/2*exp(1))^2+c)*(405323966463344640*tan(1/2*exp(1))^5+1215971899390033920*tan(1/2*exp(1))^4-1351079888211148800*tan(1/2*exp(1))^3-810647932926689280*tan(1/2*exp(1))^2+405323966463344640*tan(1/2*exp(1))+135107988821114880)*tan(1/4*exp(1))^2+A*a*sqrt(c*tan(1/2*exp(1))^2+c)*(-54043195528445952*tan(1/2*exp(1))^6-162129586585337856*tan(1/2*exp(1))^5+324259173170675712*tan(1/2*exp(1))^4+540431955284459520*tan(1/2*exp(1))^3-486388759756013568*tan(1/2*exp(1))^2-162129586585337856*tan(1/2*exp(1)))*tan(1/4*exp(1))^5+A*a*sqrt(c*tan(1/2*exp(1))^2+c)*(-54043195528445952*tan(1/2*exp(1))^6-162129586585337856*tan(1/2*exp(1))^5+324259173170675712*tan(1/2*exp(1))^4+540431955284459520*tan(1/2*exp(1))^3-486388759756013568*tan(1/2*exp(1))^2-162129586585337856*tan(1/2*exp(1)))*tan(1/4*exp(1))+A*a*sqrt(c*tan(1/2*exp(1))^2+c)*(-405323966463344640*tan(1/2*exp(1))^5-1215971899390033920*tan(1/2*exp(1))^4+1351079888211148800*tan(1/2*exp(1))^3+810647932926689280*tan(1/2*exp(1))^2-405323966463344640*tan(1/2*exp(1))-135107988821114880)*tan(1/4*exp(1))^4+B*a*sqrt(c*tan(1/2*exp(1))^2+c)*(27021597764222976*tan(1/2*exp(1))^5+81064793292668928*tan(1/2*exp(1))^4-90071992547409920*tan(1/2*exp(1))^3-54043195528445952*tan(1/2*exp(1))^2+27021597764222976*tan(1/2*exp(1))+9007199254740992)*tan(1/4*exp(1))^6+B*a*sqrt(c*tan(1/2*exp(1))^2+c)*(180143985094819840*tan(1/2*exp(1))^6+540431955284459520*tan(1/2*exp(1))^5-1080863910568919040*tan(1/2*exp(1))^4-1801439850948198400*tan(1/2*exp(1))^3+1621295865853378560*tan(1/2*exp(1))^2+540431955284459520*tan(1/2*exp(1)))*tan(1/4*exp(1))^3+B*a*sqrt(c*tan(1/2*exp(1))^2+c)*(405323966463344640*tan(1/2*exp(1))^5+1215971899390033920*tan(1/2*exp(1))^4-1351079888211148800*tan(1/2*exp(1))^3-810647932926689280*tan(1/2*exp(1))^2+405323966463344640*tan(1/2*exp(1))+135107988821114880)*tan(1/4*exp(1))^2+B*a*sqrt(c*tan(1/2*exp(1))^2+c)*(-54043195528445952*tan(1/2*exp(1))^6-162129586585337856*tan(1/2*exp(1))^5+324259173170675712*tan(1/2*exp(1))^4+540431955284459520*tan(1/2*exp(1))^3-486388759756013568*tan(1/2*exp(1))^2-162129586585337856*tan(1/2*exp(1)))*tan(1/4*exp(1))^5+B*a*sqrt(c*tan(1/2*exp(1))^2+c)*(-54043195528445952*tan(1/2*exp(1))^6-162129586585337856*tan(1/2*exp(1))^5+324259173170675712*tan(1/2*exp(1))^4+540431955284459520*tan(1/2*exp(1))^3-486388759756013568*tan(1/2*exp(1))^2-162129586585337856*tan(1/2*exp(1)))*tan(1/4*exp(1))+B*a*sqrt(c*tan(1/2*exp(1))^2+c)*(-405323966463344640*tan(1/2*exp(1))^5-1215971899390033920*tan(1/2*exp(1))^4+1351079888211148800*tan(1/2*exp(1))^3+810647932926689280*tan(1/2*exp(1))^2-405323966463344640*tan(1/2*exp(1))-135107988821114880)*tan(1/4*exp(1))^4)*ln(abs(-2*tan(1/2*exp(1))^3+6*tan(1/2*exp(1))^2+(tan(1/2*(1/2*f*x+2*exp(1)))-1/tan(1/2*(1/2*f*x+2*exp(1))))*(tan(1/2*exp(1))^3+3*tan(1/2*exp(1))^2-3*tan(1/2*exp(1))-1)+6*tan(1/2*exp(1))-2))/f/(-9007199254740992*sqrt(2)*c*tan(1/2*exp(1))^7+9007199254740992*sqrt(2)*c+(-9007199254740992*sqrt(2)*c*tan(1/2*exp(1))^7-27021597764222976*sqrt(2)*c*tan(1/2*exp(1))^6+9007199254740992*sqrt(2)*c*tan(1/2*exp(1))^5-45035996273704960*sqrt(2)*c*tan(1/2*exp(1))^4+45035996273704960*sqrt(2)*c*tan(1/2*exp(1))^3-9007199254740992*sqrt(2)*c*tan(1/2*exp(1))^2+9007199254740992*sqrt(2)*c+27021597764222976*sqrt(2)*c*tan(1/2*exp(1)))*tan(1/4*exp(1))^6+(-27021597764222976*sqrt(2)*c*tan(1/2*exp(1))^7-81064793292668928*sqrt(2)*c*tan(1/2*exp(1))^6+27021597764222976*sqrt(2)*c*tan(1/2*exp(1))^5-135107988821114880*sqrt(2)*c*tan(1/2*exp(1))^4+135107988821114880*sqrt(2)*c*tan(1/2*exp(1))^3-27021597764222976*sqrt(2)*c*tan(1/2*exp(1))^2+27021597764222976*sqrt(2)*c+81064793292668928*sqrt(2)*c*tan(1/2*exp(1)))*tan(1/4*exp(1))^2+(-27021597764222976*sqrt(2)*c*tan(1/2*exp(1))^7-81064793292668928*sqrt(2)*c*tan(1/2*exp(1))^6+27021597764222976*sqrt(2)*c*tan(1/2*exp(1))^5-135107988821114880*sqrt(2)*c*tan(1/2*exp(1))^4+135107988821114880*sqrt(2)*c*tan(1/2*exp(1))^3-27021597764222976*sqrt(2)*c*tan(1/2*exp(1))^2+27021597764222976*sqrt(2)*c+81064793292668928*sqrt(2)*c*tan(1/2*exp(1)))*tan(1/4*exp(1))^4-27021597764222976*sqrt(2)*c*tan(1/2*exp(1))^6+9007199254740992*sqrt(2)*c*tan(1/2*exp(1))^5-45035996273704960*sqrt(2)*c*tan(1/2*exp(1))^4+45035996273704960*sqrt(2)*c*tan(1/2*exp(1))^3-9007199254740992*sqrt(2)*c*tan(1/2*exp(1))^2+27021597764222976*sqrt(2)*c*tan(1/2*exp(1)))","F(-2)",0
144,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
145,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
146,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
147,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(9/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
148,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(11/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
149,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(-64*f*(A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(64*f)^2-384*f*(A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(6*f*x+6*exp(1))/(384*f)^2-256*f*(3*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-3*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(4*f*x+4*exp(1))/(256*f)^2+256*f*(-A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-4*f*x-4*exp(1))/(-256*f)^2+128*f*(-3*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+3*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-2*f*x-2*exp(1))/(-128*f)^2+640*f*(-4*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-3*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(5*f*x+5*exp(1))/(640*f)^2+384*f*(-20*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(3*f*x+3*exp(1))/(384*f)^2+128*f*(-40*A*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+5*B*a^2*c^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(128*f)^2-896*B*a^2*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(7*f*x+7*exp(1))/(896*f)^2)","F(-2)",0
150,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(-80*A*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(f*x+exp(1))/(16*f)^2-480*A*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(3*f*x+3*exp(1))/(96*f)^2-160*A*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(5*f*x+5*exp(1))/(160*f)^2+64*B*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(2*f*x+2*exp(1))/(64*f)^2+768*B*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(4*f*x+4*exp(1))/(256*f)^2+384*B*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(6*f*x+6*exp(1))/(384*f)^2+384*B*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(-2*f*x-2*exp(1))/(-128*f)^2+256*B*a^2*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(-4*f*x-4*exp(1))/(-256*f)^2)","F(-2)",0
151,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(32*f*(A*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+B*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-2*f*x-2*exp(1))/(-32*f)^2-32*f*(-A*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(32*f)^2-64*f*(-A*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(4*f*x+4*exp(1))/(64*f)^2+96*f*(-4*A*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+B*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(3*f*x+3*exp(1))/(96*f)^2+16*f*(-6*A*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a^2*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(16*f)^2+160*B*a^2*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(5*f*x+5*exp(1))/(160*f)^2)","F(-2)",0
152,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(24*f*(A*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(3*f*x+3*exp(1))/(24*f)^2+8*f*(-5*A*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(8*f)^2-32*f*(-8*A*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-7*B*a^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(32*f)^2-64*B*a^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(4*f*x+4*exp(1))/(64*f)^2-32*B*a^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(-2*f*x-2*exp(1))/(-32*f)^2)","F(-2)",0
153,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
154,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
155,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
156,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
157,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(9/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
158,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(11/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
159,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(13/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
160,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(9/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(-2048*f*(A*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(8*f*x+8*exp(1))/(2048*f)^2-512*f*(5*A*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-5*B*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(512*f)^2-1536*f*(5*A*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-5*B*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(6*f*x+6*exp(1))/(1536*f)^2-1024*f*(9*A*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-9*B*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(4*f*x+4*exp(1))/(1024*f)^2+1536*f*(-A*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+B*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-6*f*x-6*exp(1))/(-1536*f)^2+3584*f*(-4*A*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-5*B*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(7*f*x+7*exp(1))/(3584*f)^2+1024*f*(-5*A*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+5*B*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-4*f*x-4*exp(1))/(-1024*f)^2+640*f*(-7*A*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(5*f*x+5*exp(1))/(640*f)^2+512*f*(-9*A*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+9*B*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-2*f*x-2*exp(1))/(-512*f)^2+256*f*(-70*A*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+7*B*a^3*c^4*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(256*f)^2-8064*A*a^3*c^4*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(3*f*x+3*exp(1))/(384*f)^2-4608*B*a^3*c^4*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(9*f*x+9*exp(1))/(4608*f)^2)","F(-2)",0
161,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(-4480*A*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(f*x+exp(1))/(128*f)^2-8064*A*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(3*f*x+3*exp(1))/(384*f)^2-4480*A*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(5*f*x+5*exp(1))/(640*f)^2-896*A*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(7*f*x+7*exp(1))/(896*f)^2+2560*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(2*f*x+2*exp(1))/(512*f)^2+9216*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(4*f*x+4*exp(1))/(1024*f)^2+7680*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(6*f*x+6*exp(1))/(1536*f)^2+2048*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(8*f*x+8*exp(1))/(2048*f)^2+4608*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(-2*f*x-2*exp(1))/(-512*f)^2+5120*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(-4*f*x-4*exp(1))/(-1024*f)^2+1536*B*a^3*c^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(-6*f*x-6*exp(1))/(-1536*f)^2)","F(-2)",0
162,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(256*f*(A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-4*f*x-4*exp(1))/(-256*f)^2+128*f*(3*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+3*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-2*f*x-2*exp(1))/(-128*f)^2-64*f*(-A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(64*f)^2-384*f*(-A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(6*f*x+6*exp(1))/(384*f)^2-256*f*(-3*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-3*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(4*f*x+4*exp(1))/(256*f)^2+640*f*(-4*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+3*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(5*f*x+5*exp(1))/(640*f)^2+384*f*(-20*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(3*f*x+3*exp(1))/(384*f)^2+128*f*(-40*A*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-5*B*a^3*c^2*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(128*f)^2+896*B*a^3*c^2*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(7*f*x+7*exp(1))/(896*f)^2)","F(-2)",0
163,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(160*f*(A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(5*f*x+5*exp(1))/(160*f)^2+128*f*(8*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+5*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-2*f*x-2*exp(1))/(-128*f)^2+96*f*(-3*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(3*f*x+3*exp(1))/(96*f)^2-64*f*(-4*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-3*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(64*f)^2+16*f*(-7*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(16*f)^2-256*f*(-8*A*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-5*B*a^3*c*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(4*f*x+4*exp(1))/(256*f)^2-384*B*a^3*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(6*f*x+6*exp(1))/(384*f)^2-256*B*a^3*c*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(-4*f*x-4*exp(1))/(-256*f)^2)","F(-2)",0
164,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*sqrt(2*c)*(-64*f*(A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+3*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(4*f*x+4*exp(1))/(64*f)^2+96*f*(12*A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+15*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(3*f*x+3*exp(1))/(96*f)^2+32*f*(-A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-3*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(-2*f*x-2*exp(1))/(-32*f)^2+16*f*(-14*A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-7*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(f*x+exp(1))/(16*f)^2-32*f*(-15*A*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-13*B*a^3*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(2*f*x+2*exp(1))/(32*f)^2-160*B*a^3*f*sign(sin(1/2*(f*x+exp(1))-1/4*pi))*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(5*f*x+5*exp(1))/(160*f)^2)","F(-2)",0
165,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(9/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(11/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(13/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
172,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(15/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
173,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(7/2)*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(17/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2)/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
175,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2)/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (8*pi/x/2)>(-8*pi/x/2)4*sqrt(2*c)*(A*c*sqrt(a*tan(1/2*exp(1))^2+a)*(27021597764222976*tan(1/2*exp(1))^5-81064793292668928*tan(1/2*exp(1))^4-90071992547409920*tan(1/2*exp(1))^3+54043195528445952*tan(1/2*exp(1))^2+27021597764222976*tan(1/2*exp(1))-9007199254740992)+B*c*sqrt(a*tan(1/2*exp(1))^2+a)*(-27021597764222976*tan(1/2*exp(1))^5+81064793292668928*tan(1/2*exp(1))^4+90071992547409920*tan(1/2*exp(1))^3-54043195528445952*tan(1/2*exp(1))^2-27021597764222976*tan(1/2*exp(1))+9007199254740992)+A*c*sqrt(a*tan(1/2*exp(1))^2+a)*(54043195528445952*tan(1/2*exp(1))^6-162129586585337856*tan(1/2*exp(1))^5-324259173170675712*tan(1/2*exp(1))^4+540431955284459520*tan(1/2*exp(1))^3+486388759756013568*tan(1/2*exp(1))^2-162129586585337856*tan(1/2*exp(1)))*tan(1/4*exp(1))^5+A*c*sqrt(a*tan(1/2*exp(1))^2+a)*(54043195528445952*tan(1/2*exp(1))^6-162129586585337856*tan(1/2*exp(1))^5-324259173170675712*tan(1/2*exp(1))^4+540431955284459520*tan(1/2*exp(1))^3+486388759756013568*tan(1/2*exp(1))^2-162129586585337856*tan(1/2*exp(1)))*tan(1/4*exp(1))+A*c*sqrt(a*tan(1/2*exp(1))^2+a)*(405323966463344640*tan(1/2*exp(1))^5-1215971899390033920*tan(1/2*exp(1))^4-1351079888211148800*tan(1/2*exp(1))^3+810647932926689280*tan(1/2*exp(1))^2+405323966463344640*tan(1/2*exp(1))-135107988821114880)*tan(1/4*exp(1))^4+A*c*sqrt(a*tan(1/2*exp(1))^2+a)*(-27021597764222976*tan(1/2*exp(1))^5+81064793292668928*tan(1/2*exp(1))^4+90071992547409920*tan(1/2*exp(1))^3-54043195528445952*tan(1/2*exp(1))^2-27021597764222976*tan(1/2*exp(1))+9007199254740992)*tan(1/4*exp(1))^6+A*c*sqrt(a*tan(1/2*exp(1))^2+a)*(-180143985094819840*tan(1/2*exp(1))^6+540431955284459520*tan(1/2*exp(1))^5+1080863910568919040*tan(1/2*exp(1))^4-1801439850948198400*tan(1/2*exp(1))^3-1621295865853378560*tan(1/2*exp(1))^2+540431955284459520*tan(1/2*exp(1)))*tan(1/4*exp(1))^3+A*c*sqrt(a*tan(1/2*exp(1))^2+a)*(-405323966463344640*tan(1/2*exp(1))^5+1215971899390033920*tan(1/2*exp(1))^4+1351079888211148800*tan(1/2*exp(1))^3-810647932926689280*tan(1/2*exp(1))^2-405323966463344640*tan(1/2*exp(1))+135107988821114880)*tan(1/4*exp(1))^2+B*c*sqrt(a*tan(1/2*exp(1))^2+a)*(27021597764222976*tan(1/2*exp(1))^5-81064793292668928*tan(1/2*exp(1))^4-90071992547409920*tan(1/2*exp(1))^3+54043195528445952*tan(1/2*exp(1))^2+27021597764222976*tan(1/2*exp(1))-9007199254740992)*tan(1/4*exp(1))^6+B*c*sqrt(a*tan(1/2*exp(1))^2+a)*(180143985094819840*tan(1/2*exp(1))^6-540431955284459520*tan(1/2*exp(1))^5-1080863910568919040*tan(1/2*exp(1))^4+1801439850948198400*tan(1/2*exp(1))^3+1621295865853378560*tan(1/2*exp(1))^2-540431955284459520*tan(1/2*exp(1)))*tan(1/4*exp(1))^3+B*c*sqrt(a*tan(1/2*exp(1))^2+a)*(405323966463344640*tan(1/2*exp(1))^5-1215971899390033920*tan(1/2*exp(1))^4-1351079888211148800*tan(1/2*exp(1))^3+810647932926689280*tan(1/2*exp(1))^2+405323966463344640*tan(1/2*exp(1))-135107988821114880)*tan(1/4*exp(1))^2+B*c*sqrt(a*tan(1/2*exp(1))^2+a)*(-54043195528445952*tan(1/2*exp(1))^6+162129586585337856*tan(1/2*exp(1))^5+324259173170675712*tan(1/2*exp(1))^4-540431955284459520*tan(1/2*exp(1))^3-486388759756013568*tan(1/2*exp(1))^2+162129586585337856*tan(1/2*exp(1)))*tan(1/4*exp(1))^5+B*c*sqrt(a*tan(1/2*exp(1))^2+a)*(-54043195528445952*tan(1/2*exp(1))^6+162129586585337856*tan(1/2*exp(1))^5+324259173170675712*tan(1/2*exp(1))^4-540431955284459520*tan(1/2*exp(1))^3-486388759756013568*tan(1/2*exp(1))^2+162129586585337856*tan(1/2*exp(1)))*tan(1/4*exp(1))+B*c*sqrt(a*tan(1/2*exp(1))^2+a)*(-405323966463344640*tan(1/2*exp(1))^5+1215971899390033920*tan(1/2*exp(1))^4+1351079888211148800*tan(1/2*exp(1))^3-810647932926689280*tan(1/2*exp(1))^2-405323966463344640*tan(1/2*exp(1))+135107988821114880)*tan(1/4*exp(1))^4)*ln(abs(2*tan(1/2*exp(1))^3+6*tan(1/2*exp(1))^2+(tan(1/2*(1/2*f*x+2*exp(1)))-1/tan(1/2*(1/2*f*x+2*exp(1))))*(tan(1/2*exp(1))^3-3*tan(1/2*exp(1))^2-3*tan(1/2*exp(1))+1)-6*tan(1/2*exp(1))-2))/f/(-9007199254740992*sqrt(2)*a*tan(1/2*exp(1))^7-9007199254740992*sqrt(2)*a+(-9007199254740992*sqrt(2)*a*tan(1/2*exp(1))^7+27021597764222976*sqrt(2)*a*tan(1/2*exp(1))^6+9007199254740992*sqrt(2)*a*tan(1/2*exp(1))^5+45035996273704960*sqrt(2)*a*tan(1/2*exp(1))^4+45035996273704960*sqrt(2)*a*tan(1/2*exp(1))^3+9007199254740992*sqrt(2)*a*tan(1/2*exp(1))^2-9007199254740992*sqrt(2)*a+27021597764222976*sqrt(2)*a*tan(1/2*exp(1)))*tan(1/4*exp(1))^6+(-27021597764222976*sqrt(2)*a*tan(1/2*exp(1))^7+81064793292668928*sqrt(2)*a*tan(1/2*exp(1))^6+27021597764222976*sqrt(2)*a*tan(1/2*exp(1))^5+135107988821114880*sqrt(2)*a*tan(1/2*exp(1))^4+135107988821114880*sqrt(2)*a*tan(1/2*exp(1))^3+27021597764222976*sqrt(2)*a*tan(1/2*exp(1))^2-27021597764222976*sqrt(2)*a+81064793292668928*sqrt(2)*a*tan(1/2*exp(1)))*tan(1/4*exp(1))^2+(-27021597764222976*sqrt(2)*a*tan(1/2*exp(1))^7+81064793292668928*sqrt(2)*a*tan(1/2*exp(1))^6+27021597764222976*sqrt(2)*a*tan(1/2*exp(1))^5+135107988821114880*sqrt(2)*a*tan(1/2*exp(1))^4+135107988821114880*sqrt(2)*a*tan(1/2*exp(1))^3+27021597764222976*sqrt(2)*a*tan(1/2*exp(1))^2-27021597764222976*sqrt(2)*a+81064793292668928*sqrt(2)*a*tan(1/2*exp(1)))*tan(1/4*exp(1))^4+27021597764222976*sqrt(2)*a*tan(1/2*exp(1))^6+9007199254740992*sqrt(2)*a*tan(1/2*exp(1))^5+45035996273704960*sqrt(2)*a*tan(1/2*exp(1))^4+45035996273704960*sqrt(2)*a*tan(1/2*exp(1))^3+9007199254740992*sqrt(2)*a*tan(1/2*exp(1))^2+27021597764222976*sqrt(2)*a*tan(1/2*exp(1)))","F(-2)",0
176,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2)/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (8*pi/x/2)>(-8*pi/x/2)4*sqrt(2*c)*(A*sqrt(a*tan(1/2*exp(1))^2+a)*(12582912*tan(1/2*exp(1))^5-37748736*tan(1/2*exp(1))^4-41943040*tan(1/2*exp(1))^3+25165824*tan(1/2*exp(1))^2+12582912*tan(1/2*exp(1))-4194304)+B*sqrt(a*tan(1/2*exp(1))^2+a)*(-12582912*tan(1/2*exp(1))^5+37748736*tan(1/2*exp(1))^4+41943040*tan(1/2*exp(1))^3-25165824*tan(1/2*exp(1))^2-12582912*tan(1/2*exp(1))+4194304)+A*sqrt(a*tan(1/2*exp(1))^2+a)*(25165824*tan(1/2*exp(1))^6-75497472*tan(1/2*exp(1))^5-150994944*tan(1/2*exp(1))^4+251658240*tan(1/2*exp(1))^3+226492416*tan(1/2*exp(1))^2-75497472*tan(1/2*exp(1)))*tan(1/4*exp(1))^5+A*sqrt(a*tan(1/2*exp(1))^2+a)*(25165824*tan(1/2*exp(1))^6-75497472*tan(1/2*exp(1))^5-150994944*tan(1/2*exp(1))^4+251658240*tan(1/2*exp(1))^3+226492416*tan(1/2*exp(1))^2-75497472*tan(1/2*exp(1)))*tan(1/4*exp(1))+A*sqrt(a*tan(1/2*exp(1))^2+a)*(188743680*tan(1/2*exp(1))^5-566231040*tan(1/2*exp(1))^4-629145600*tan(1/2*exp(1))^3+377487360*tan(1/2*exp(1))^2+188743680*tan(1/2*exp(1))-62914560)*tan(1/4*exp(1))^4+A*sqrt(a*tan(1/2*exp(1))^2+a)*(-12582912*tan(1/2*exp(1))^5+37748736*tan(1/2*exp(1))^4+41943040*tan(1/2*exp(1))^3-25165824*tan(1/2*exp(1))^2-12582912*tan(1/2*exp(1))+4194304)*tan(1/4*exp(1))^6+A*sqrt(a*tan(1/2*exp(1))^2+a)*(-83886080*tan(1/2*exp(1))^6+251658240*tan(1/2*exp(1))^5+503316480*tan(1/2*exp(1))^4-838860800*tan(1/2*exp(1))^3-754974720*tan(1/2*exp(1))^2+251658240*tan(1/2*exp(1)))*tan(1/4*exp(1))^3+A*sqrt(a*tan(1/2*exp(1))^2+a)*(-188743680*tan(1/2*exp(1))^5+566231040*tan(1/2*exp(1))^4+629145600*tan(1/2*exp(1))^3-377487360*tan(1/2*exp(1))^2-188743680*tan(1/2*exp(1))+62914560)*tan(1/4*exp(1))^2+B*sqrt(a*tan(1/2*exp(1))^2+a)*(12582912*tan(1/2*exp(1))^5-37748736*tan(1/2*exp(1))^4-41943040*tan(1/2*exp(1))^3+25165824*tan(1/2*exp(1))^2+12582912*tan(1/2*exp(1))-4194304)*tan(1/4*exp(1))^6+B*sqrt(a*tan(1/2*exp(1))^2+a)*(83886080*tan(1/2*exp(1))^6-251658240*tan(1/2*exp(1))^5-503316480*tan(1/2*exp(1))^4+838860800*tan(1/2*exp(1))^3+754974720*tan(1/2*exp(1))^2-251658240*tan(1/2*exp(1)))*tan(1/4*exp(1))^3+B*sqrt(a*tan(1/2*exp(1))^2+a)*(188743680*tan(1/2*exp(1))^5-566231040*tan(1/2*exp(1))^4-629145600*tan(1/2*exp(1))^3+377487360*tan(1/2*exp(1))^2+188743680*tan(1/2*exp(1))-62914560)*tan(1/4*exp(1))^2+B*sqrt(a*tan(1/2*exp(1))^2+a)*(-25165824*tan(1/2*exp(1))^6+75497472*tan(1/2*exp(1))^5+150994944*tan(1/2*exp(1))^4-251658240*tan(1/2*exp(1))^3-226492416*tan(1/2*exp(1))^2+75497472*tan(1/2*exp(1)))*tan(1/4*exp(1))^5+B*sqrt(a*tan(1/2*exp(1))^2+a)*(-25165824*tan(1/2*exp(1))^6+75497472*tan(1/2*exp(1))^5+150994944*tan(1/2*exp(1))^4-251658240*tan(1/2*exp(1))^3-226492416*tan(1/2*exp(1))^2+75497472*tan(1/2*exp(1)))*tan(1/4*exp(1))+B*sqrt(a*tan(1/2*exp(1))^2+a)*(-188743680*tan(1/2*exp(1))^5+566231040*tan(1/2*exp(1))^4+629145600*tan(1/2*exp(1))^3-377487360*tan(1/2*exp(1))^2-188743680*tan(1/2*exp(1))+62914560)*tan(1/4*exp(1))^4)*ln(abs(2*tan(1/2*exp(1))^3+6*tan(1/2*exp(1))^2+(tan(1/2*(1/2*f*x+2*exp(1)))-1/tan(1/2*(1/2*f*x+2*exp(1))))*(tan(1/2*exp(1))^3-3*tan(1/2*exp(1))^2-3*tan(1/2*exp(1))+1)-6*tan(1/2*exp(1))-2))/f/(-8388608*sqrt(2)*a*tan(1/2*exp(1))^7-8388608*sqrt(2)*a+(-8388608*sqrt(2)*a*tan(1/2*exp(1))^7+25165824*sqrt(2)*a*tan(1/2*exp(1))^6+8388608*sqrt(2)*a*tan(1/2*exp(1))^5+41943040*sqrt(2)*a*tan(1/2*exp(1))^4+41943040*sqrt(2)*a*tan(1/2*exp(1))^3+8388608*sqrt(2)*a*tan(1/2*exp(1))^2-8388608*sqrt(2)*a+25165824*sqrt(2)*a*tan(1/2*exp(1)))*tan(1/4*exp(1))^6+(-25165824*sqrt(2)*a*tan(1/2*exp(1))^7+75497472*sqrt(2)*a*tan(1/2*exp(1))^6+25165824*sqrt(2)*a*tan(1/2*exp(1))^5+125829120*sqrt(2)*a*tan(1/2*exp(1))^4+125829120*sqrt(2)*a*tan(1/2*exp(1))^3+25165824*sqrt(2)*a*tan(1/2*exp(1))^2-25165824*sqrt(2)*a+75497472*sqrt(2)*a*tan(1/2*exp(1)))*tan(1/4*exp(1))^2+(-25165824*sqrt(2)*a*tan(1/2*exp(1))^7+75497472*sqrt(2)*a*tan(1/2*exp(1))^6+25165824*sqrt(2)*a*tan(1/2*exp(1))^5+125829120*sqrt(2)*a*tan(1/2*exp(1))^4+125829120*sqrt(2)*a*tan(1/2*exp(1))^3+25165824*sqrt(2)*a*tan(1/2*exp(1))^2-25165824*sqrt(2)*a+75497472*sqrt(2)*a*tan(1/2*exp(1)))*tan(1/4*exp(1))^4+25165824*sqrt(2)*a*tan(1/2*exp(1))^6+8388608*sqrt(2)*a*tan(1/2*exp(1))^5+41943040*sqrt(2)*a*tan(1/2*exp(1))^4+41943040*sqrt(2)*a*tan(1/2*exp(1))^3+8388608*sqrt(2)*a*tan(1/2*exp(1))^2+25165824*sqrt(2)*a*tan(1/2*exp(1)))","F(-2)",0
177,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(1/2)/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{\sqrt{a \sin\left(f x + e\right) + a} \sqrt{-c \sin\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/(sqrt(a*sin(f*x + e) + a)*sqrt(-c*sin(f*x + e) + c)), x)","F",0
178,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(3/2)/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{\sqrt{a \sin\left(f x + e\right) + a} {\left(-c \sin\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/(sqrt(a*sin(f*x + e) + a)*(-c*sin(f*x + e) + c)^(3/2)), x)","F",0
179,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(5/2)/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{\sqrt{a \sin\left(f x + e\right) + a} {\left(-c \sin\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/(sqrt(a*sin(f*x + e) + a)*(-c*sin(f*x + e) + c)^(5/2)), x)","F",0
180,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2)/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2)/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
182,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2)/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2)/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(3/2)/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}} \sqrt{-c \sin\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/((a*sin(f*x + e) + a)^(3/2)*sqrt(-c*sin(f*x + e) + c)), x)","F",0
185,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(3/2)/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}} {\left(-c \sin\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/((a*sin(f*x + e) + a)^(3/2)*(-c*sin(f*x + e) + c)^(3/2)), x)","F",0
186,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(3/2)/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}} {\left(-c \sin\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/((a*sin(f*x + e) + a)^(3/2)*(-c*sin(f*x + e) + c)^(5/2)), x)","F",0
187,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(9/2)/(a+a*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
188,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(7/2)/(a+a*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
189,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2)/(a+a*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
190,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2)/(a+a*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
191,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2)/(a+a*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
192,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(5/2)/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{5}{2}} \sqrt{-c \sin\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/((a*sin(f*x + e) + a)^(5/2)*sqrt(-c*sin(f*x + e) + c)), x)","F",0
193,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(5/2)/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{5}{2}} {\left(-c \sin\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/((a*sin(f*x + e) + a)^(5/2)*(-c*sin(f*x + e) + c)^(3/2)), x)","F",0
194,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(5/2)/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{5}{2}} {\left(-c \sin\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/((a*sin(f*x + e) + a)^(5/2)*(-c*sin(f*x + e) + c)^(5/2)), x)","F",0
195,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^n,x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} {\left(-c \sin\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m*(-c*sin(f*x + e) + c)^n, x)","F",0
196,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^3,x, algorithm=""giac"")","\int -{\left(B \sin\left(f x + e\right) + A\right)} {\left(c \sin\left(f x + e\right) - c\right)}^{3} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate(-(B*sin(f*x + e) + A)*(c*sin(f*x + e) - c)^3*(a*sin(f*x + e) + a)^m, x)","F",0
197,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^2,x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(c \sin\left(f x + e\right) - c\right)}^{2} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(c*sin(f*x + e) - c)^2*(a*sin(f*x + e) + a)^m, x)","F",0
198,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e)),x, algorithm=""giac"")","\int -{\left(B \sin\left(f x + e\right) + A\right)} {\left(c \sin\left(f x + e\right) - c\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate(-(B*sin(f*x + e) + A)*(c*sin(f*x + e) - c)*(a*sin(f*x + e) + a)^m, x)","F",0
199,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m, x)","F",0
200,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c-c*sin(f*x+e)),x, algorithm=""giac"")","\int -\frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{c \sin\left(f x + e\right) - c}\,{d x}"," ",0,"integrate(-(B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/(c*sin(f*x + e) - c), x)","F",0
201,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{{\left(c \sin\left(f x + e\right) - c\right)}^{2}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/(c*sin(f*x + e) - c)^2, x)","F",0
202,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^3,x, algorithm=""giac"")","\int -\frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{{\left(c \sin\left(f x + e\right) - c\right)}^{3}}\,{d x}"," ",0,"integrate(-(B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/(c*sin(f*x + e) - c)^3, x)","F",0
203,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{\sqrt{-c \sin\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/sqrt(-c*sin(f*x + e) + c), x)","F",0
204,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+c*sin(f*x+e))^m/(a-a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(c \sin\left(f x + e\right) + c\right)}^{m}}{\sqrt{-a \sin\left(f x + e\right) + a}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(c*sin(f*x + e) + c)^m/sqrt(-a*sin(f*x + e) + a), x)","F",0
205,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(-c \sin\left(f x + e\right) + c\right)}^{\frac{5}{2}} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(-c*sin(f*x + e) + c)^(5/2)*(a*sin(f*x + e) + a)^m, x)","F",0
206,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(-c \sin\left(f x + e\right) + c\right)}^{\frac{3}{2}} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(-c*sin(f*x + e) + c)^(3/2)*(a*sin(f*x + e) + a)^m, x)","F",0
207,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} \sqrt{-c \sin\left(f x + e\right) + c} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*sqrt(-c*sin(f*x + e) + c)*(a*sin(f*x + e) + a)^m, x)","F",0
208,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{\sqrt{-c \sin\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/sqrt(-c*sin(f*x + e) + c), x)","F",0
209,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{{\left(-c \sin\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/(-c*sin(f*x + e) + c)^(3/2), x)","F",0
210,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c-c*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{{\left(-c \sin\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/(-c*sin(f*x + e) + c)^(5/2), x)","F",0
211,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(-4-m),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} {\left(-c \sin\left(f x + e\right) + c\right)}^{-m - 4}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m*(-c*sin(f*x + e) + c)^(-m - 4), x)","F",0
212,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(-3-m),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} {\left(-c \sin\left(f x + e\right) + c\right)}^{-m - 3}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m*(-c*sin(f*x + e) + c)^(-m - 3), x)","F",0
213,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(-2-m),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} {\left(-c \sin\left(f x + e\right) + c\right)}^{-m - 2}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m*(-c*sin(f*x + e) + c)^(-m - 2), x)","F",0
214,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(-1-m),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} {\left(-c \sin\left(f x + e\right) + c\right)}^{-m - 1}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m*(-c*sin(f*x + e) + c)^(-m - 1), x)","F",0
215,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/((c-c*sin(f*x+e))^m),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{{\left(-c \sin\left(f x + e\right) + c\right)}^{m}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/(-c*sin(f*x + e) + c)^m, x)","F",0
216,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(1-m),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} {\left(-c \sin\left(f x + e\right) + c\right)}^{-m + 1}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m*(-c*sin(f*x + e) + c)^(-m + 1), x)","F",0
217,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c-c*sin(f*x+e))^(2-m),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} {\left(-c \sin\left(f x + e\right) + c\right)}^{-m + 2}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m*(-c*sin(f*x + e) + c)^(-m + 2), x)","F",0
218,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^3*(c-c*sin(f*x+e))^n*(B*(3-n)-B*(4+n)*sin(f*x+e)),x, algorithm=""giac"")","\int -{\left(B {\left(n + 4\right)} \sin\left(f x + e\right) + B {\left(n - 3\right)}\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{3} {\left(-c \sin\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate(-(B*(n + 4)*sin(f*x + e) + B*(n - 3))*(a*sin(f*x + e) + a)^3*(-c*sin(f*x + e) + c)^n, x)","F",0
219,0,0,0,0.000000," ","integrate((a-a*sin(f*x+e))^3*(c+c*sin(f*x+e))^n*(B*(3-n)+B*(4+n)*sin(f*x+e)),x, algorithm=""giac"")","\int -{\left(B {\left(n + 4\right)} \sin\left(f x + e\right) - B {\left(n - 3\right)}\right)} {\left(a \sin\left(f x + e\right) - a\right)}^{3} {\left(c \sin\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate(-(B*(n + 4)*sin(f*x + e) - B*(n - 3))*(a*sin(f*x + e) - a)^3*(c*sin(f*x + e) + c)^n, x)","F",0
220,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^3*(B*(-3+m)-B*(4+m)*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B {\left(m + 4\right)} \sin\left(f x + e\right) - B {\left(m - 3\right)}\right)} {\left(c \sin\left(f x + e\right) - c\right)}^{3} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*(m + 4)*sin(f*x + e) - B*(m - 3))*(c*sin(f*x + e) - c)^3*(a*sin(f*x + e) + a)^m, x)","F",0
221,0,0,0,0.000000," ","integrate((a-a*sin(f*x+e))^m*(c+c*sin(f*x+e))^3*(B*(-3+m)+B*(4+m)*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B {\left(m + 4\right)} \sin\left(f x + e\right) + B {\left(m - 3\right)}\right)} {\left(c \sin\left(f x + e\right) + c\right)}^{3} {\left(-a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*(m + 4)*sin(f*x + e) + B*(m - 3))*(c*sin(f*x + e) + c)^3*(-a*sin(f*x + e) + a)^m, x)","F",0
222,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^n*(B*(m-n)-B*(1+m+n)*sin(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
223,-1,0,0,0.000000," ","integrate((a-a*sin(f*x+e))^m*(c+c*sin(f*x+e))^n*(B*(m-n)+B*(1+m+n)*sin(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
224,1,131,0,0.171414," ","integrate(sin(d*x+c)^3*(a+a*sin(d*x+c))^3*(A-A*sin(d*x+c)),x, algorithm=""giac"")","\frac{1}{8} \, A a^{3} x - \frac{A a^{3} \cos\left(7 \, d x + 7 \, c\right)}{448 \, d} + \frac{7 \, A a^{3} \cos\left(5 \, d x + 5 \, c\right)}{320 \, d} - \frac{5 \, A a^{3} \cos\left(3 \, d x + 3 \, c\right)}{192 \, d} - \frac{13 \, A a^{3} \cos\left(d x + c\right)}{64 \, d} + \frac{A a^{3} \sin\left(6 \, d x + 6 \, c\right)}{96 \, d} - \frac{A a^{3} \sin\left(4 \, d x + 4 \, c\right)}{32 \, d} - \frac{A a^{3} \sin\left(2 \, d x + 2 \, c\right)}{32 \, d}"," ",0,"1/8*A*a^3*x - 1/448*A*a^3*cos(7*d*x + 7*c)/d + 7/320*A*a^3*cos(5*d*x + 5*c)/d - 5/192*A*a^3*cos(3*d*x + 3*c)/d - 13/64*A*a^3*cos(d*x + c)/d + 1/96*A*a^3*sin(6*d*x + 6*c)/d - 1/32*A*a^3*sin(4*d*x + 4*c)/d - 1/32*A*a^3*sin(2*d*x + 2*c)/d","A",0
225,1,113,0,0.174902," ","integrate(sin(d*x+c)^2*(a+a*sin(d*x+c))^3*(A-A*sin(d*x+c)),x, algorithm=""giac"")","\frac{3}{16} \, A a^{3} x + \frac{A a^{3} \cos\left(5 \, d x + 5 \, c\right)}{40 \, d} - \frac{A a^{3} \cos\left(3 \, d x + 3 \, c\right)}{24 \, d} - \frac{A a^{3} \cos\left(d x + c\right)}{4 \, d} + \frac{A a^{3} \sin\left(6 \, d x + 6 \, c\right)}{192 \, d} - \frac{3 \, A a^{3} \sin\left(4 \, d x + 4 \, c\right)}{64 \, d} - \frac{A a^{3} \sin\left(2 \, d x + 2 \, c\right)}{64 \, d}"," ",0,"3/16*A*a^3*x + 1/40*A*a^3*cos(5*d*x + 5*c)/d - 1/24*A*a^3*cos(3*d*x + 3*c)/d - 1/4*A*a^3*cos(d*x + c)/d + 1/192*A*a^3*sin(6*d*x + 6*c)/d - 3/64*A*a^3*sin(4*d*x + 4*c)/d - 1/64*A*a^3*sin(2*d*x + 2*c)/d","A",0
226,1,77,0,0.162427," ","integrate(sin(d*x+c)*(a+a*sin(d*x+c))^3*(A-A*sin(d*x+c)),x, algorithm=""giac"")","\frac{1}{4} \, A a^{3} x + \frac{A a^{3} \cos\left(5 \, d x + 5 \, c\right)}{80 \, d} - \frac{5 \, A a^{3} \cos\left(3 \, d x + 3 \, c\right)}{48 \, d} - \frac{3 \, A a^{3} \cos\left(d x + c\right)}{8 \, d} - \frac{A a^{3} \sin\left(4 \, d x + 4 \, c\right)}{16 \, d}"," ",0,"1/4*A*a^3*x + 1/80*A*a^3*cos(5*d*x + 5*c)/d - 5/48*A*a^3*cos(3*d*x + 3*c)/d - 3/8*A*a^3*cos(d*x + c)/d - 1/16*A*a^3*sin(4*d*x + 4*c)/d","A",0
227,1,77,0,0.167951," ","integrate((a+a*sin(d*x+c))^3*(A-A*sin(d*x+c)),x, algorithm=""giac"")","\frac{5}{8} \, A a^{3} x - \frac{A a^{3} \cos\left(3 \, d x + 3 \, c\right)}{6 \, d} - \frac{A a^{3} \cos\left(d x + c\right)}{2 \, d} - \frac{A a^{3} \sin\left(4 \, d x + 4 \, c\right)}{32 \, d} + \frac{A a^{3} \sin\left(2 \, d x + 2 \, c\right)}{4 \, d}"," ",0,"5/8*A*a^3*x - 1/6*A*a^3*cos(3*d*x + 3*c)/d - 1/2*A*a^3*cos(d*x + c)/d - 1/32*A*a^3*sin(4*d*x + 4*c)/d + 1/4*A*a^3*sin(2*d*x + 2*c)/d","A",0
228,1,107,0,0.160881," ","integrate(csc(d*x+c)*(a+a*sin(d*x+c))^3*(A-A*sin(d*x+c)),x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} A a^{3} + 3 \, A a^{3} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - \frac{2 \, {\left(3 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 6 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 3 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, A a^{3}\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*(d*x + c)*A*a^3 + 3*A*a^3*log(abs(tan(1/2*d*x + 1/2*c))) - 2*(3*A*a^3*tan(1/2*d*x + 1/2*c)^5 - 6*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 3*A*a^3*tan(1/2*d*x + 1/2*c) - 2*A*a^3)/(tan(1/2*d*x + 1/2*c)^2 + 1)^3)/d","A",0
229,1,153,0,0.187274," ","integrate(csc(d*x+c)^2*(a+a*sin(d*x+c))^3*(A-A*sin(d*x+c)),x, algorithm=""giac"")","-\frac{{\left(d x + c\right)} A a^{3} - 4 \, A a^{3} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + \frac{4 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + \frac{2 \, {\left(A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 4 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, A a^{3}\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{2}}}{2 \, d}"," ",0,"-1/2*((d*x + c)*A*a^3 - 4*A*a^3*log(abs(tan(1/2*d*x + 1/2*c))) - A*a^3*tan(1/2*d*x + 1/2*c) + (4*A*a^3*tan(1/2*d*x + 1/2*c) + A*a^3)/tan(1/2*d*x + 1/2*c) + 2*(A*a^3*tan(1/2*d*x + 1/2*c)^3 - 4*A*a^3*tan(1/2*d*x + 1/2*c)^2 - A*a^3*tan(1/2*d*x + 1/2*c) - 4*A*a^3)/(tan(1/2*d*x + 1/2*c)^2 + 1)^2)/d","B",0
230,1,137,0,0.195002," ","integrate(csc(d*x+c)^3*(a+a*sin(d*x+c))^3*(A-A*sin(d*x+c)),x, algorithm=""giac"")","\frac{A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 16 \, {\left(d x + c\right)} A a^{3} + 4 \, A a^{3} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + 8 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + \frac{16 \, A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1} - \frac{6 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}}{8 \, d}"," ",0,"1/8*(A*a^3*tan(1/2*d*x + 1/2*c)^2 - 16*(d*x + c)*A*a^3 + 4*A*a^3*log(abs(tan(1/2*d*x + 1/2*c))) + 8*A*a^3*tan(1/2*d*x + 1/2*c) + 16*A*a^3/(tan(1/2*d*x + 1/2*c)^2 + 1) - (6*A*a^3*tan(1/2*d*x + 1/2*c)^2 + 8*A*a^3*tan(1/2*d*x + 1/2*c) + A*a^3)/tan(1/2*d*x + 1/2*c)^2)/d","A",0
231,1,150,0,0.179879," ","integrate(csc(d*x+c)^4*(a+a*sin(d*x+c))^3*(A-A*sin(d*x+c)),x, algorithm=""giac"")","\frac{A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 6 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 24 \, {\left(d x + c\right)} A a^{3} - 24 \, A a^{3} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + 9 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + \frac{44 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 9 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 6 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}}}{24 \, d}"," ",0,"1/24*(A*a^3*tan(1/2*d*x + 1/2*c)^3 + 6*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 24*(d*x + c)*A*a^3 - 24*A*a^3*log(abs(tan(1/2*d*x + 1/2*c))) + 9*A*a^3*tan(1/2*d*x + 1/2*c) + (44*A*a^3*tan(1/2*d*x + 1/2*c)^3 - 9*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 6*A*a^3*tan(1/2*d*x + 1/2*c) - A*a^3)/tan(1/2*d*x + 1/2*c)^3)/d","A",0
232,1,174,0,0.196218," ","integrate(csc(d*x+c)^5*(a+a*sin(d*x+c))^3*(A-A*sin(d*x+c)),x, algorithm=""giac"")","\frac{3 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 16 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 24 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 120 \, A a^{3} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - 48 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + \frac{250 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 48 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 24 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 16 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 3 \, A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{192 \, d}"," ",0,"1/192*(3*A*a^3*tan(1/2*d*x + 1/2*c)^4 + 16*A*a^3*tan(1/2*d*x + 1/2*c)^3 + 24*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 120*A*a^3*log(abs(tan(1/2*d*x + 1/2*c))) - 48*A*a^3*tan(1/2*d*x + 1/2*c) + (250*A*a^3*tan(1/2*d*x + 1/2*c)^4 + 48*A*a^3*tan(1/2*d*x + 1/2*c)^3 - 24*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 16*A*a^3*tan(1/2*d*x + 1/2*c) - 3*A*a^3)/tan(1/2*d*x + 1/2*c)^4)/d","B",0
233,1,174,0,0.185230," ","integrate(csc(d*x+c)^6*(a+a*sin(d*x+c))^3*(A-A*sin(d*x+c)),x, algorithm=""giac"")","\frac{3 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 15 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 25 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 120 \, A a^{3} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - 90 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + \frac{274 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 90 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 25 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 15 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 3 \, A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5}}}{480 \, d}"," ",0,"1/480*(3*A*a^3*tan(1/2*d*x + 1/2*c)^5 + 15*A*a^3*tan(1/2*d*x + 1/2*c)^4 + 25*A*a^3*tan(1/2*d*x + 1/2*c)^3 - 120*A*a^3*log(abs(tan(1/2*d*x + 1/2*c))) - 90*A*a^3*tan(1/2*d*x + 1/2*c) + (274*A*a^3*tan(1/2*d*x + 1/2*c)^5 + 90*A*a^3*tan(1/2*d*x + 1/2*c)^4 - 25*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 15*A*a^3*tan(1/2*d*x + 1/2*c) - 3*A*a^3)/tan(1/2*d*x + 1/2*c)^5)/d","A",0
234,1,242,0,0.204834," ","integrate(csc(d*x+c)^7*(a+a*sin(d*x+c))^3*(A-A*sin(d*x+c)),x, algorithm=""giac"")","\frac{5 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} + 24 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 45 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 40 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 15 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 360 \, A a^{3} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - 240 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + \frac{882 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} + 240 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 15 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 40 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 45 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 24 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 5 \, A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6}}}{1920 \, d}"," ",0,"1/1920*(5*A*a^3*tan(1/2*d*x + 1/2*c)^6 + 24*A*a^3*tan(1/2*d*x + 1/2*c)^5 + 45*A*a^3*tan(1/2*d*x + 1/2*c)^4 + 40*A*a^3*tan(1/2*d*x + 1/2*c)^3 - 15*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 360*A*a^3*log(abs(tan(1/2*d*x + 1/2*c))) - 240*A*a^3*tan(1/2*d*x + 1/2*c) + (882*A*a^3*tan(1/2*d*x + 1/2*c)^6 + 240*A*a^3*tan(1/2*d*x + 1/2*c)^5 + 15*A*a^3*tan(1/2*d*x + 1/2*c)^4 - 40*A*a^3*tan(1/2*d*x + 1/2*c)^3 - 45*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 24*A*a^3*tan(1/2*d*x + 1/2*c) - 5*A*a^3)/tan(1/2*d*x + 1/2*c)^6)/d","B",0
235,1,156,0,0.213805," ","integrate(sin(d*x+c)^4*(A-A*sin(d*x+c))/(a+a*sin(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{285 \, {\left(d x + c\right)} A}{a^{3}} + \frac{30 \, {\left(A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 8 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 8 \, A\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{2} a^{3}} + \frac{4 \, {\left(135 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 615 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 1025 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 685 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 164 \, A\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}^{5}}}{30 \, d}"," ",0,"-1/30*(285*(d*x + c)*A/a^3 + 30*(A*tan(1/2*d*x + 1/2*c)^3 + 8*A*tan(1/2*d*x + 1/2*c)^2 - A*tan(1/2*d*x + 1/2*c) + 8*A)/((tan(1/2*d*x + 1/2*c)^2 + 1)^2*a^3) + 4*(135*A*tan(1/2*d*x + 1/2*c)^4 + 615*A*tan(1/2*d*x + 1/2*c)^3 + 1025*A*tan(1/2*d*x + 1/2*c)^2 + 685*A*tan(1/2*d*x + 1/2*c) + 164*A)/(a^3*(tan(1/2*d*x + 1/2*c) + 1)^5))/d","A",0
236,1,113,0,0.181871," ","integrate(sin(d*x+c)^3*(A-A*sin(d*x+c))/(a+a*sin(d*x+c))^3,x, algorithm=""giac"")","\frac{2 \, {\left(\frac{30 \, {\left(d x + c\right)} A}{a^{3}} + \frac{15 \, A}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)} a^{3}} + \frac{60 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 285 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 505 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 335 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 79 \, A}{a^{3} {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}^{5}}\right)}}{15 \, d}"," ",0,"2/15*(30*(d*x + c)*A/a^3 + 15*A/((tan(1/2*d*x + 1/2*c)^2 + 1)*a^3) + (60*A*tan(1/2*d*x + 1/2*c)^4 + 285*A*tan(1/2*d*x + 1/2*c)^3 + 505*A*tan(1/2*d*x + 1/2*c)^2 + 335*A*tan(1/2*d*x + 1/2*c) + 79*A)/(a^3*(tan(1/2*d*x + 1/2*c) + 1)^5))/d","A",0
237,1,93,0,0.191925," ","integrate(sin(d*x+c)^2*(A-A*sin(d*x+c))/(a+a*sin(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{5 \, {\left(d x + c\right)} A}{a^{3}} + \frac{2 \, {\left(5 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 25 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 55 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 35 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 8 \, A\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}^{5}}}{5 \, d}"," ",0,"-1/5*(5*(d*x + c)*A/a^3 + 2*(5*A*tan(1/2*d*x + 1/2*c)^4 + 25*A*tan(1/2*d*x + 1/2*c)^3 + 55*A*tan(1/2*d*x + 1/2*c)^2 + 35*A*tan(1/2*d*x + 1/2*c) + 8*A)/(a^3*(tan(1/2*d*x + 1/2*c) + 1)^5))/d","A",0
238,1,63,0,0.187945," ","integrate(sin(d*x+c)*(A-A*sin(d*x+c))/(a+a*sin(d*x+c))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 5 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 5 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A\right)}}{15 \, a^{3} d {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}^{5}}"," ",0,"-2/15*(15*A*tan(1/2*d*x + 1/2*c)^3 - 5*A*tan(1/2*d*x + 1/2*c)^2 + 5*A*tan(1/2*d*x + 1/2*c) + A)/(a^3*d*(tan(1/2*d*x + 1/2*c) + 1)^5)","A",0
239,1,79,0,0.171218," ","integrate((A-A*sin(d*x+c))/(a+a*sin(d*x+c))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 15 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 25 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 5 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, A\right)}}{15 \, a^{3} d {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}^{5}}"," ",0,"-2/15*(15*A*tan(1/2*d*x + 1/2*c)^4 + 15*A*tan(1/2*d*x + 1/2*c)^3 + 25*A*tan(1/2*d*x + 1/2*c)^2 + 5*A*tan(1/2*d*x + 1/2*c) + 4*A)/(a^3*d*(tan(1/2*d*x + 1/2*c) + 1)^5)","A",0
240,1,99,0,0.194259," ","integrate(csc(d*x+c)*(A-A*sin(d*x+c))/(a+a*sin(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{5 \, A \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a^{3}} + \frac{2 \, {\left(20 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 55 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 75 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 45 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 13 \, A\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}^{5}}}{5 \, d}"," ",0,"1/5*(5*A*log(abs(tan(1/2*d*x + 1/2*c)))/a^3 + 2*(20*A*tan(1/2*d*x + 1/2*c)^4 + 55*A*tan(1/2*d*x + 1/2*c)^3 + 75*A*tan(1/2*d*x + 1/2*c)^2 + 45*A*tan(1/2*d*x + 1/2*c) + 13*A)/(a^3*(tan(1/2*d*x + 1/2*c) + 1)^5))/d","A",0
241,1,146,0,0.221028," ","integrate(csc(d*x+c)^2*(A-A*sin(d*x+c))/(a+a*sin(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{120 \, A \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a^{3}} - \frac{15 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{a^{3}} - \frac{15 \, {\left(8 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A\right)}}{a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} + \frac{4 \, {\left(135 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 435 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 605 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 385 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 104 \, A\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}^{5}}}{30 \, d}"," ",0,"-1/30*(120*A*log(abs(tan(1/2*d*x + 1/2*c)))/a^3 - 15*A*tan(1/2*d*x + 1/2*c)/a^3 - 15*(8*A*tan(1/2*d*x + 1/2*c) - A)/(a^3*tan(1/2*d*x + 1/2*c)) + 4*(135*A*tan(1/2*d*x + 1/2*c)^4 + 435*A*tan(1/2*d*x + 1/2*c)^3 + 605*A*tan(1/2*d*x + 1/2*c)^2 + 385*A*tan(1/2*d*x + 1/2*c) + 104*A)/(a^3*(tan(1/2*d*x + 1/2*c) + 1)^5))/d","A",0
242,1,180,0,0.298778," ","integrate(csc(d*x+c)^3*(A-A*sin(d*x+c))/(a+a*sin(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{1140 \, A \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a^{3}} - \frac{15 \, {\left(114 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 16 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A\right)}}{a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}} + \frac{15 \, {\left(A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 16 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{a^{6}} + \frac{16 \, {\left(240 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 825 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 1165 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 755 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 199 \, A\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}^{5}}}{120 \, d}"," ",0,"1/120*(1140*A*log(abs(tan(1/2*d*x + 1/2*c)))/a^3 - 15*(114*A*tan(1/2*d*x + 1/2*c)^2 - 16*A*tan(1/2*d*x + 1/2*c) + A)/(a^3*tan(1/2*d*x + 1/2*c)^2) + 15*(A*a^3*tan(1/2*d*x + 1/2*c)^2 - 16*A*a^3*tan(1/2*d*x + 1/2*c))/a^6 + 16*(240*A*tan(1/2*d*x + 1/2*c)^4 + 825*A*tan(1/2*d*x + 1/2*c)^3 + 1165*A*tan(1/2*d*x + 1/2*c)^2 + 755*A*tan(1/2*d*x + 1/2*c) + 199*A)/(a^3*(tan(1/2*d*x + 1/2*c) + 1)^5))/d","A",0
243,1,213,0,0.301944," ","integrate(csc(d*x+c)^4*(A-A*sin(d*x+c))/(a+a*sin(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{2160 \, A \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right)}{a^{3}} - \frac{5 \, {\left(792 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 117 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 12 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A\right)}}{a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}} + \frac{48 \, {\left(125 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 445 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 635 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 415 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 108 \, A\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right)}^{5}} - \frac{5 \, {\left(A a^{6} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 12 \, A a^{6} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 117 \, A a^{6} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{a^{9}}}{120 \, d}"," ",0,"-1/120*(2160*A*log(abs(tan(1/2*d*x + 1/2*c)))/a^3 - 5*(792*A*tan(1/2*d*x + 1/2*c)^3 - 117*A*tan(1/2*d*x + 1/2*c)^2 + 12*A*tan(1/2*d*x + 1/2*c) - A)/(a^3*tan(1/2*d*x + 1/2*c)^3) + 48*(125*A*tan(1/2*d*x + 1/2*c)^4 + 445*A*tan(1/2*d*x + 1/2*c)^3 + 635*A*tan(1/2*d*x + 1/2*c)^2 + 415*A*tan(1/2*d*x + 1/2*c) + 108*A)/(a^3*(tan(1/2*d*x + 1/2*c) + 1)^5) - 5*(A*a^6*tan(1/2*d*x + 1/2*c)^3 - 12*A*a^6*tan(1/2*d*x + 1/2*c)^2 + 117*A*a^6*tan(1/2*d*x + 1/2*c))/a^9)/d","A",0
244,1,314,0,0.182203," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{B a d^{3} \cos\left(5 \, f x + 5 \, e\right)}{80 \, f} + \frac{1}{8} \, {\left(8 \, A a c^{3} + 4 \, B a c^{3} + 12 \, A a c^{2} d + 12 \, B a c^{2} d + 12 \, A a c d^{2} + 9 \, B a c d^{2} + 3 \, A a d^{3} + 3 \, B a d^{3}\right)} x + \frac{{\left(12 \, B a c^{2} d + 12 \, A a c d^{2} + 12 \, B a c d^{2} + 4 \, A a d^{3} + 5 \, B a d^{3}\right)} \cos\left(3 \, f x + 3 \, e\right)}{48 \, f} - \frac{{\left(8 \, A a c^{3} + 8 \, B a c^{3} + 24 \, A a c^{2} d + 18 \, B a c^{2} d + 18 \, A a c d^{2} + 18 \, B a c d^{2} + 6 \, A a d^{3} + 5 \, B a d^{3}\right)} \cos\left(f x + e\right)}{8 \, f} + \frac{{\left(3 \, B a c d^{2} + A a d^{3} + B a d^{3}\right)} \sin\left(4 \, f x + 4 \, e\right)}{32 \, f} - \frac{{\left(B a c^{3} + 3 \, A a c^{2} d + 3 \, B a c^{2} d + 3 \, A a c d^{2} + 3 \, B a c d^{2} + A a d^{3} + B a d^{3}\right)} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f}"," ",0,"-1/80*B*a*d^3*cos(5*f*x + 5*e)/f + 1/8*(8*A*a*c^3 + 4*B*a*c^3 + 12*A*a*c^2*d + 12*B*a*c^2*d + 12*A*a*c*d^2 + 9*B*a*c*d^2 + 3*A*a*d^3 + 3*B*a*d^3)*x + 1/48*(12*B*a*c^2*d + 12*A*a*c*d^2 + 12*B*a*c*d^2 + 4*A*a*d^3 + 5*B*a*d^3)*cos(3*f*x + 3*e)/f - 1/8*(8*A*a*c^3 + 8*B*a*c^3 + 24*A*a*c^2*d + 18*B*a*c^2*d + 18*A*a*c*d^2 + 18*B*a*c*d^2 + 6*A*a*d^3 + 5*B*a*d^3)*cos(f*x + e)/f + 1/32*(3*B*a*c*d^2 + A*a*d^3 + B*a*d^3)*sin(4*f*x + 4*e)/f - 1/4*(B*a*c^3 + 3*A*a*c^2*d + 3*B*a*c^2*d + 3*A*a*c*d^2 + 3*B*a*c*d^2 + A*a*d^3 + B*a*d^3)*sin(2*f*x + 2*e)/f","A",0
245,1,198,0,0.153730," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{B a d^{2} \sin\left(4 \, f x + 4 \, e\right)}{32 \, f} + \frac{1}{8} \, {\left(8 \, A a c^{2} + 4 \, B a c^{2} + 8 \, A a c d + 8 \, B a c d + 4 \, A a d^{2} + 3 \, B a d^{2}\right)} x + \frac{{\left(2 \, B a c d + A a d^{2} + B a d^{2}\right)} \cos\left(3 \, f x + 3 \, e\right)}{12 \, f} - \frac{{\left(4 \, A a c^{2} + 4 \, B a c^{2} + 8 \, A a c d + 6 \, B a c d + 3 \, A a d^{2} + 3 \, B a d^{2}\right)} \cos\left(f x + e\right)}{4 \, f} - \frac{{\left(B a c^{2} + 2 \, A a c d + 2 \, B a c d + A a d^{2} + B a d^{2}\right)} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f}"," ",0,"1/32*B*a*d^2*sin(4*f*x + 4*e)/f + 1/8*(8*A*a*c^2 + 4*B*a*c^2 + 8*A*a*c*d + 8*B*a*c*d + 4*A*a*d^2 + 3*B*a*d^2)*x + 1/12*(2*B*a*c*d + A*a*d^2 + B*a*d^2)*cos(3*f*x + 3*e)/f - 1/4*(4*A*a*c^2 + 4*B*a*c^2 + 8*A*a*c*d + 6*B*a*c*d + 3*A*a*d^2 + 3*B*a*d^2)*cos(f*x + e)/f - 1/4*(B*a*c^2 + 2*A*a*c*d + 2*B*a*c*d + A*a*d^2 + B*a*d^2)*sin(2*f*x + 2*e)/f","A",0
246,1,101,0,0.151097," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c+d*sin(f*x+e)),x, algorithm=""giac"")","\frac{B a d \cos\left(3 \, f x + 3 \, e\right)}{12 \, f} + \frac{1}{2} \, {\left(2 \, A a c + B a c + A a d + B a d\right)} x - \frac{{\left(4 \, A a c + 4 \, B a c + 4 \, A a d + 3 \, B a d\right)} \cos\left(f x + e\right)}{4 \, f} - \frac{{\left(B a c + A a d + B a d\right)} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f}"," ",0,"1/12*B*a*d*cos(3*f*x + 3*e)/f + 1/2*(2*A*a*c + B*a*c + A*a*d + B*a*d)*x - 1/4*(4*A*a*c + 4*B*a*c + 4*A*a*d + 3*B*a*d)*cos(f*x + e)/f - 1/4*(B*a*c + A*a*d + B*a*d)*sin(2*f*x + 2*e)/f","A",0
247,1,48,0,0.127652," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\frac{1}{2} \, {\left(2 \, A a + B a\right)} x - \frac{B a \sin\left(2 \, f x + 2 \, e\right)}{4 \, f} - \frac{{\left(A a + B a\right)} \cos\left(f x + e\right)}{f}"," ",0,"1/2*(2*A*a + B*a)*x - 1/4*B*a*sin(2*f*x + 2*e)/f - (A*a + B*a)*cos(f*x + e)/f","A",0
248,1,141,0,0.154096," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c+d*sin(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{{\left(B a c - A a d - B a d\right)} {\left(f x + e\right)}}{d^{2}} + \frac{2 \, B a}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)} d} - \frac{2 \, {\left(B a c^{2} - A a c d - B a c d + A a d^{2}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{\sqrt{c^{2} - d^{2}} d^{2}}}{f}"," ",0,"-((B*a*c - A*a*d - B*a*d)*(f*x + e)/d^2 + 2*B*a/((tan(1/2*f*x + 1/2*e)^2 + 1)*d) - 2*(B*a*c^2 - A*a*c*d - B*a*c*d + A*a*d^2)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/(sqrt(c^2 - d^2)*d^2))/f","A",0
249,1,204,0,0.196476," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{{\left(f x + e\right)} B a}{d^{2}} - \frac{2 \, {\left(B a c^{2} + B a c d - A a d^{2} - B a d^{2}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(c d^{2} + d^{3}\right)} \sqrt{c^{2} - d^{2}}} + \frac{2 \, {\left(B a c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - A a d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + B a c^{2} - A a c d\right)}}{{\left(c^{2} d + c d^{2}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}}}{f}"," ",0,"((f*x + e)*B*a/d^2 - 2*(B*a*c^2 + B*a*c*d - A*a*d^2 - B*a*d^2)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((c*d^2 + d^3)*sqrt(c^2 - d^2)) + 2*(B*a*c*d*tan(1/2*f*x + 1/2*e) - A*a*d^2*tan(1/2*f*x + 1/2*e) + B*a*c^2 - A*a*c*d)/((c^2*d + c*d^2)*(c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)))/f","A",0
250,1,594,0,0.232043," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{{\left(2 \, A a c + B a c - A a d - 2 \, B a d\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(c^{3} + c^{2} d - c d^{2} - d^{3}\right)} \sqrt{c^{2} - d^{2}}} + \frac{B a c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 3 \, A a c^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 \, B a c^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, A a c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, A a c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 \, A a c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, B a c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, A a c^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + B a c^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, A a c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 4 \, B a c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 4 \, A a c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, B a c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, A a d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B a c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 5 \, A a c^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 6 \, B a c^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 6 \, A a c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 4 \, B a c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A a c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 2 \, A a c^{4} - 2 \, B a c^{4} + 2 \, A a c^{3} d + B a c^{3} d + A a c^{2} d^{2}}{{\left(c^{5} + c^{4} d - c^{3} d^{2} - c^{2} d^{3}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}^{2}}}{f}"," ",0,"((2*A*a*c + B*a*c - A*a*d - 2*B*a*d)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((c^3 + c^2*d - c*d^2 - d^3)*sqrt(c^2 - d^2)) + (B*a*c^4*tan(1/2*f*x + 1/2*e)^3 - 3*A*a*c^3*d*tan(1/2*f*x + 1/2*e)^3 - 2*B*a*c^3*d*tan(1/2*f*x + 1/2*e)^3 + 2*A*a*c^2*d^2*tan(1/2*f*x + 1/2*e)^3 + 2*A*a*c*d^3*tan(1/2*f*x + 1/2*e)^3 - 2*A*a*c^4*tan(1/2*f*x + 1/2*e)^2 - 2*B*a*c^4*tan(1/2*f*x + 1/2*e)^2 + 2*A*a*c^3*d*tan(1/2*f*x + 1/2*e)^2 + B*a*c^3*d*tan(1/2*f*x + 1/2*e)^2 - 3*A*a*c^2*d^2*tan(1/2*f*x + 1/2*e)^2 - 4*B*a*c^2*d^2*tan(1/2*f*x + 1/2*e)^2 + 4*A*a*c*d^3*tan(1/2*f*x + 1/2*e)^2 + 2*B*a*c*d^3*tan(1/2*f*x + 1/2*e)^2 + 2*A*a*d^4*tan(1/2*f*x + 1/2*e)^2 - B*a*c^4*tan(1/2*f*x + 1/2*e) - 5*A*a*c^3*d*tan(1/2*f*x + 1/2*e) - 6*B*a*c^3*d*tan(1/2*f*x + 1/2*e) + 6*A*a*c^2*d^2*tan(1/2*f*x + 1/2*e) + 4*B*a*c^2*d^2*tan(1/2*f*x + 1/2*e) + 2*A*a*c*d^3*tan(1/2*f*x + 1/2*e) - 2*A*a*c^4 - 2*B*a*c^4 + 2*A*a*c^3*d + B*a*c^3*d + A*a*c^2*d^2)/((c^5 + c^4*d - c^3*d^2 - c^2*d^3)*(c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)^2))/f","B",0
251,1,474,0,0.217003," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{B a^{2} d^{3} \sin\left(6 \, f x + 6 \, e\right)}{192 \, f} + \frac{1}{16} \, {\left(24 \, A a^{2} c^{3} + 16 \, B a^{2} c^{3} + 48 \, A a^{2} c^{2} d + 42 \, B a^{2} c^{2} d + 42 \, A a^{2} c d^{2} + 36 \, B a^{2} c d^{2} + 12 \, A a^{2} d^{3} + 11 \, B a^{2} d^{3}\right)} x - \frac{{\left(3 \, B a^{2} c d^{2} + A a^{2} d^{3} + 2 \, B a^{2} d^{3}\right)} \cos\left(5 \, f x + 5 \, e\right)}{80 \, f} + \frac{{\left(4 \, B a^{2} c^{3} + 12 \, A a^{2} c^{2} d + 24 \, B a^{2} c^{2} d + 24 \, A a^{2} c d^{2} + 27 \, B a^{2} c d^{2} + 9 \, A a^{2} d^{3} + 10 \, B a^{2} d^{3}\right)} \cos\left(3 \, f x + 3 \, e\right)}{48 \, f} - \frac{{\left(16 \, A a^{2} c^{3} + 14 \, B a^{2} c^{3} + 42 \, A a^{2} c^{2} d + 36 \, B a^{2} c^{2} d + 36 \, A a^{2} c d^{2} + 33 \, B a^{2} c d^{2} + 11 \, A a^{2} d^{3} + 10 \, B a^{2} d^{3}\right)} \cos\left(f x + e\right)}{8 \, f} + \frac{{\left(6 \, B a^{2} c^{2} d + 6 \, A a^{2} c d^{2} + 12 \, B a^{2} c d^{2} + 4 \, A a^{2} d^{3} + 5 \, B a^{2} d^{3}\right)} \sin\left(4 \, f x + 4 \, e\right)}{64 \, f} - \frac{{\left(16 \, A a^{2} c^{3} + 32 \, B a^{2} c^{3} + 96 \, A a^{2} c^{2} d + 96 \, B a^{2} c^{2} d + 96 \, A a^{2} c d^{2} + 96 \, B a^{2} c d^{2} + 32 \, A a^{2} d^{3} + 31 \, B a^{2} d^{3}\right)} \sin\left(2 \, f x + 2 \, e\right)}{64 \, f}"," ",0,"-1/192*B*a^2*d^3*sin(6*f*x + 6*e)/f + 1/16*(24*A*a^2*c^3 + 16*B*a^2*c^3 + 48*A*a^2*c^2*d + 42*B*a^2*c^2*d + 42*A*a^2*c*d^2 + 36*B*a^2*c*d^2 + 12*A*a^2*d^3 + 11*B*a^2*d^3)*x - 1/80*(3*B*a^2*c*d^2 + A*a^2*d^3 + 2*B*a^2*d^3)*cos(5*f*x + 5*e)/f + 1/48*(4*B*a^2*c^3 + 12*A*a^2*c^2*d + 24*B*a^2*c^2*d + 24*A*a^2*c*d^2 + 27*B*a^2*c*d^2 + 9*A*a^2*d^3 + 10*B*a^2*d^3)*cos(3*f*x + 3*e)/f - 1/8*(16*A*a^2*c^3 + 14*B*a^2*c^3 + 42*A*a^2*c^2*d + 36*B*a^2*c^2*d + 36*A*a^2*c*d^2 + 33*B*a^2*c*d^2 + 11*A*a^2*d^3 + 10*B*a^2*d^3)*cos(f*x + e)/f + 1/64*(6*B*a^2*c^2*d + 6*A*a^2*c*d^2 + 12*B*a^2*c*d^2 + 4*A*a^2*d^3 + 5*B*a^2*d^3)*sin(4*f*x + 4*e)/f - 1/64*(16*A*a^2*c^3 + 32*B*a^2*c^3 + 96*A*a^2*c^2*d + 96*B*a^2*c^2*d + 96*A*a^2*c*d^2 + 96*B*a^2*c*d^2 + 32*A*a^2*d^3 + 31*B*a^2*d^3)*sin(2*f*x + 2*e)/f","A",0
252,1,311,0,0.183891," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","-\frac{B a^{2} d^{2} \cos\left(5 \, f x + 5 \, e\right)}{80 \, f} + \frac{1}{8} \, {\left(12 \, A a^{2} c^{2} + 8 \, B a^{2} c^{2} + 16 \, A a^{2} c d + 14 \, B a^{2} c d + 7 \, A a^{2} d^{2} + 6 \, B a^{2} d^{2}\right)} x + \frac{{\left(4 \, B a^{2} c^{2} + 8 \, A a^{2} c d + 16 \, B a^{2} c d + 8 \, A a^{2} d^{2} + 9 \, B a^{2} d^{2}\right)} \cos\left(3 \, f x + 3 \, e\right)}{48 \, f} - \frac{{\left(16 \, A a^{2} c^{2} + 14 \, B a^{2} c^{2} + 28 \, A a^{2} c d + 24 \, B a^{2} c d + 12 \, A a^{2} d^{2} + 11 \, B a^{2} d^{2}\right)} \cos\left(f x + e\right)}{8 \, f} + \frac{{\left(2 \, B a^{2} c d + A a^{2} d^{2} + 2 \, B a^{2} d^{2}\right)} \sin\left(4 \, f x + 4 \, e\right)}{32 \, f} - \frac{{\left(A a^{2} c^{2} + 2 \, B a^{2} c^{2} + 4 \, A a^{2} c d + 4 \, B a^{2} c d + 2 \, A a^{2} d^{2} + 2 \, B a^{2} d^{2}\right)} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f}"," ",0,"-1/80*B*a^2*d^2*cos(5*f*x + 5*e)/f + 1/8*(12*A*a^2*c^2 + 8*B*a^2*c^2 + 16*A*a^2*c*d + 14*B*a^2*c*d + 7*A*a^2*d^2 + 6*B*a^2*d^2)*x + 1/48*(4*B*a^2*c^2 + 8*A*a^2*c*d + 16*B*a^2*c*d + 8*A*a^2*d^2 + 9*B*a^2*d^2)*cos(3*f*x + 3*e)/f - 1/8*(16*A*a^2*c^2 + 14*B*a^2*c^2 + 28*A*a^2*c*d + 24*B*a^2*c*d + 12*A*a^2*d^2 + 11*B*a^2*d^2)*cos(f*x + e)/f + 1/32*(2*B*a^2*c*d + A*a^2*d^2 + 2*B*a^2*d^2)*sin(4*f*x + 4*e)/f - 1/4*(A*a^2*c^2 + 2*B*a^2*c^2 + 4*A*a^2*c*d + 4*B*a^2*c*d + 2*A*a^2*d^2 + 2*B*a^2*d^2)*sin(2*f*x + 2*e)/f","A",0
253,1,172,0,0.172713," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c+d*sin(f*x+e)),x, algorithm=""giac"")","\frac{B a^{2} d \sin\left(4 \, f x + 4 \, e\right)}{32 \, f} + \frac{1}{8} \, {\left(12 \, A a^{2} c + 8 \, B a^{2} c + 8 \, A a^{2} d + 7 \, B a^{2} d\right)} x + \frac{{\left(B a^{2} c + A a^{2} d + 2 \, B a^{2} d\right)} \cos\left(3 \, f x + 3 \, e\right)}{12 \, f} - \frac{{\left(8 \, A a^{2} c + 7 \, B a^{2} c + 7 \, A a^{2} d + 6 \, B a^{2} d\right)} \cos\left(f x + e\right)}{4 \, f} - \frac{{\left(A a^{2} c + 2 \, B a^{2} c + 2 \, A a^{2} d + 2 \, B a^{2} d\right)} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f}"," ",0,"1/32*B*a^2*d*sin(4*f*x + 4*e)/f + 1/8*(12*A*a^2*c + 8*B*a^2*c + 8*A*a^2*d + 7*B*a^2*d)*x + 1/12*(B*a^2*c + A*a^2*d + 2*B*a^2*d)*cos(3*f*x + 3*e)/f - 1/4*(8*A*a^2*c + 7*B*a^2*c + 7*A*a^2*d + 6*B*a^2*d)*cos(f*x + e)/f - 1/4*(A*a^2*c + 2*B*a^2*c + 2*A*a^2*d + 2*B*a^2*d)*sin(2*f*x + 2*e)/f","A",0
254,1,88,0,0.158249," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\frac{B a^{2} \cos\left(3 \, f x + 3 \, e\right)}{12 \, f} + \frac{1}{2} \, {\left(3 \, A a^{2} + 2 \, B a^{2}\right)} x - \frac{{\left(8 \, A a^{2} + 7 \, B a^{2}\right)} \cos\left(f x + e\right)}{4 \, f} - \frac{{\left(A a^{2} + 2 \, B a^{2}\right)} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f}"," ",0,"1/12*B*a^2*cos(3*f*x + 3*e)/f + 1/2*(3*A*a^2 + 2*B*a^2)*x - 1/4*(8*A*a^2 + 7*B*a^2)*cos(f*x + e)/f - 1/4*(A*a^2 + 2*B*a^2)*sin(2*f*x + 2*e)/f","A",0
255,1,314,0,0.193043," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c+d*sin(f*x+e)),x, algorithm=""giac"")","\frac{\frac{{\left(2 \, B a^{2} c^{2} - 2 \, A a^{2} c d - 4 \, B a^{2} c d + 4 \, A a^{2} d^{2} + 3 \, B a^{2} d^{2}\right)} {\left(f x + e\right)}}{d^{3}} - \frac{4 \, {\left(B a^{2} c^{3} - A a^{2} c^{2} d - 2 \, B a^{2} c^{2} d + 2 \, A a^{2} c d^{2} + B a^{2} c d^{2} - A a^{2} d^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{\sqrt{c^{2} - d^{2}} d^{3}} + \frac{2 \, {\left(B a^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, B a^{2} c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, A a^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 4 \, B a^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B a^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, B a^{2} c - 2 \, A a^{2} d - 4 \, B a^{2} d\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{2} d^{2}}}{2 \, f}"," ",0,"1/2*((2*B*a^2*c^2 - 2*A*a^2*c*d - 4*B*a^2*c*d + 4*A*a^2*d^2 + 3*B*a^2*d^2)*(f*x + e)/d^3 - 4*(B*a^2*c^3 - A*a^2*c^2*d - 2*B*a^2*c^2*d + 2*A*a^2*c*d^2 + B*a^2*c*d^2 - A*a^2*d^3)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/(sqrt(c^2 - d^2)*d^3) + 2*(B*a^2*d*tan(1/2*f*x + 1/2*e)^3 + 2*B*a^2*c*tan(1/2*f*x + 1/2*e)^2 - 2*A*a^2*d*tan(1/2*f*x + 1/2*e)^2 - 4*B*a^2*d*tan(1/2*f*x + 1/2*e)^2 - B*a^2*d*tan(1/2*f*x + 1/2*e) + 2*B*a^2*c - 2*A*a^2*d - 4*B*a^2*d)/((tan(1/2*f*x + 1/2*e)^2 + 1)^2*d^2))/f","A",0
256,1,498,0,0.200767," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(2 \, B a^{2} c^{3} - A a^{2} c^{2} d - A a^{2} c d^{2} - 3 \, B a^{2} c d^{2} + 2 \, A a^{2} d^{3} + B a^{2} d^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(c d^{3} + d^{4}\right)} \sqrt{c^{2} - d^{2}}} - \frac{2 \, {\left(B a^{2} c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - A a^{2} c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - B a^{2} c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + A a^{2} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, B a^{2} c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - A a^{2} c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + A a^{2} c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B a^{2} c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - A a^{2} c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + B a^{2} c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + A a^{2} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, B a^{2} c^{3} - A a^{2} c^{2} d + A a^{2} c d^{2}\right)}}{{\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)} {\left(c^{2} d^{2} + c d^{3}\right)}} - \frac{{\left(2 \, B a^{2} c - A a^{2} d - 2 \, B a^{2} d\right)} {\left(f x + e\right)}}{d^{3}}}{f}"," ",0,"(2*(2*B*a^2*c^3 - A*a^2*c^2*d - A*a^2*c*d^2 - 3*B*a^2*c*d^2 + 2*A*a^2*d^3 + B*a^2*d^3)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((c*d^3 + d^4)*sqrt(c^2 - d^2)) - 2*(B*a^2*c^2*d*tan(1/2*f*x + 1/2*e)^3 - A*a^2*c*d^2*tan(1/2*f*x + 1/2*e)^3 - B*a^2*c*d^2*tan(1/2*f*x + 1/2*e)^3 + A*a^2*d^3*tan(1/2*f*x + 1/2*e)^3 + 2*B*a^2*c^3*tan(1/2*f*x + 1/2*e)^2 - A*a^2*c^2*d*tan(1/2*f*x + 1/2*e)^2 + A*a^2*c*d^2*tan(1/2*f*x + 1/2*e)^2 + 3*B*a^2*c^2*d*tan(1/2*f*x + 1/2*e) - A*a^2*c*d^2*tan(1/2*f*x + 1/2*e) + B*a^2*c*d^2*tan(1/2*f*x + 1/2*e) + A*a^2*d^3*tan(1/2*f*x + 1/2*e) + 2*B*a^2*c^3 - A*a^2*c^2*d + A*a^2*c*d^2)/((c*tan(1/2*f*x + 1/2*e)^4 + 2*d*tan(1/2*f*x + 1/2*e)^3 + 2*c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)*(c^2*d^2 + c*d^3)) - (2*B*a^2*c - A*a^2*d - 2*B*a^2*d)*(f*x + e)/d^3)/f","B",0
257,1,703,0,0.242223," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{{\left(f x + e\right)} B a^{2}}{d^{3}} - \frac{{\left(2 \, B a^{2} c^{3} + 4 \, B a^{2} c^{2} d + B a^{2} c d^{2} - 3 \, A a^{2} d^{3} - 4 \, B a^{2} d^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(c^{2} d^{3} + 2 \, c d^{4} + d^{5}\right)} \sqrt{c^{2} - d^{2}}} + \frac{B a^{2} c^{4} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + A a^{2} c^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 4 \, B a^{2} c^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 4 \, A a^{2} c^{2} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 \, A a^{2} c d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, B a^{2} c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 4 \, B a^{2} c^{4} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 4 \, A a^{2} c^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B a^{2} c^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - A a^{2} c^{2} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 8 \, B a^{2} c^{2} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 8 \, A a^{2} c d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, B a^{2} c d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, A a^{2} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 7 \, B a^{2} c^{4} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - A a^{2} c^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 12 \, B a^{2} c^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 12 \, A a^{2} c^{2} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 4 \, B a^{2} c^{2} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 2 \, A a^{2} c d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, B a^{2} c^{5} + 4 \, B a^{2} c^{4} d - 4 \, A a^{2} c^{3} d^{2} - B a^{2} c^{3} d^{2} - A a^{2} c^{2} d^{3}}{{\left(c^{4} d^{2} + 2 \, c^{3} d^{3} + c^{2} d^{4}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}^{2}}}{f}"," ",0,"((f*x + e)*B*a^2/d^3 - (2*B*a^2*c^3 + 4*B*a^2*c^2*d + B*a^2*c*d^2 - 3*A*a^2*d^3 - 4*B*a^2*d^3)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((c^2*d^3 + 2*c*d^4 + d^5)*sqrt(c^2 - d^2)) + (B*a^2*c^4*d*tan(1/2*f*x + 1/2*e)^3 + A*a^2*c^3*d^2*tan(1/2*f*x + 1/2*e)^3 + 4*B*a^2*c^3*d^2*tan(1/2*f*x + 1/2*e)^3 - 4*A*a^2*c^2*d^3*tan(1/2*f*x + 1/2*e)^3 - 2*A*a^2*c*d^4*tan(1/2*f*x + 1/2*e)^3 + 2*B*a^2*c^5*tan(1/2*f*x + 1/2*e)^2 + 4*B*a^2*c^4*d*tan(1/2*f*x + 1/2*e)^2 - 4*A*a^2*c^3*d^2*tan(1/2*f*x + 1/2*e)^2 + 3*B*a^2*c^3*d^2*tan(1/2*f*x + 1/2*e)^2 - A*a^2*c^2*d^3*tan(1/2*f*x + 1/2*e)^2 + 8*B*a^2*c^2*d^3*tan(1/2*f*x + 1/2*e)^2 - 8*A*a^2*c*d^4*tan(1/2*f*x + 1/2*e)^2 - 2*B*a^2*c*d^4*tan(1/2*f*x + 1/2*e)^2 - 2*A*a^2*d^5*tan(1/2*f*x + 1/2*e)^2 + 7*B*a^2*c^4*d*tan(1/2*f*x + 1/2*e) - A*a^2*c^3*d^2*tan(1/2*f*x + 1/2*e) + 12*B*a^2*c^3*d^2*tan(1/2*f*x + 1/2*e) - 12*A*a^2*c^2*d^3*tan(1/2*f*x + 1/2*e) - 4*B*a^2*c^2*d^3*tan(1/2*f*x + 1/2*e) - 2*A*a^2*c*d^4*tan(1/2*f*x + 1/2*e) + 2*B*a^2*c^5 + 4*B*a^2*c^4*d - 4*A*a^2*c^3*d^2 - B*a^2*c^3*d^2 - A*a^2*c^2*d^3)/((c^4*d^2 + 2*c^3*d^3 + c^2*d^4)*(c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)^2))/f","B",0
258,1,566,0,0.251935," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{B a^{3} d^{3} \cos\left(7 \, f x + 7 \, e\right)}{448 \, f} + \frac{1}{16} \, {\left(40 \, A a^{3} c^{3} + 30 \, B a^{3} c^{3} + 90 \, A a^{3} c^{2} d + 78 \, B a^{3} c^{2} d + 78 \, A a^{3} c d^{2} + 69 \, B a^{3} c d^{2} + 23 \, A a^{3} d^{3} + 21 \, B a^{3} d^{3}\right)} x - \frac{{\left(12 \, B a^{3} c^{2} d + 12 \, A a^{3} c d^{2} + 36 \, B a^{3} c d^{2} + 12 \, A a^{3} d^{3} + 19 \, B a^{3} d^{3}\right)} \cos\left(5 \, f x + 5 \, e\right)}{320 \, f} + \frac{{\left(16 \, A a^{3} c^{3} + 48 \, B a^{3} c^{3} + 144 \, A a^{3} c^{2} d + 204 \, B a^{3} c^{2} d + 204 \, A a^{3} c d^{2} + 228 \, B a^{3} c d^{2} + 76 \, A a^{3} d^{3} + 81 \, B a^{3} d^{3}\right)} \cos\left(3 \, f x + 3 \, e\right)}{192 \, f} - \frac{{\left(240 \, A a^{3} c^{3} + 208 \, B a^{3} c^{3} + 624 \, A a^{3} c^{2} d + 552 \, B a^{3} c^{2} d + 552 \, A a^{3} c d^{2} + 504 \, B a^{3} c d^{2} + 168 \, A a^{3} d^{3} + 155 \, B a^{3} d^{3}\right)} \cos\left(f x + e\right)}{64 \, f} - \frac{{\left(3 \, B a^{3} c d^{2} + A a^{3} d^{3} + 3 \, B a^{3} d^{3}\right)} \sin\left(6 \, f x + 6 \, e\right)}{192 \, f} + \frac{{\left(2 \, B a^{3} c^{3} + 6 \, A a^{3} c^{2} d + 18 \, B a^{3} c^{2} d + 18 \, A a^{3} c d^{2} + 27 \, B a^{3} c d^{2} + 9 \, A a^{3} d^{3} + 11 \, B a^{3} d^{3}\right)} \sin\left(4 \, f x + 4 \, e\right)}{64 \, f} - \frac{{\left(48 \, A a^{3} c^{3} + 64 \, B a^{3} c^{3} + 192 \, A a^{3} c^{2} d + 192 \, B a^{3} c^{2} d + 192 \, A a^{3} c d^{2} + 189 \, B a^{3} c d^{2} + 63 \, A a^{3} d^{3} + 61 \, B a^{3} d^{3}\right)} \sin\left(2 \, f x + 2 \, e\right)}{64 \, f}"," ",0,"1/448*B*a^3*d^3*cos(7*f*x + 7*e)/f + 1/16*(40*A*a^3*c^3 + 30*B*a^3*c^3 + 90*A*a^3*c^2*d + 78*B*a^3*c^2*d + 78*A*a^3*c*d^2 + 69*B*a^3*c*d^2 + 23*A*a^3*d^3 + 21*B*a^3*d^3)*x - 1/320*(12*B*a^3*c^2*d + 12*A*a^3*c*d^2 + 36*B*a^3*c*d^2 + 12*A*a^3*d^3 + 19*B*a^3*d^3)*cos(5*f*x + 5*e)/f + 1/192*(16*A*a^3*c^3 + 48*B*a^3*c^3 + 144*A*a^3*c^2*d + 204*B*a^3*c^2*d + 204*A*a^3*c*d^2 + 228*B*a^3*c*d^2 + 76*A*a^3*d^3 + 81*B*a^3*d^3)*cos(3*f*x + 3*e)/f - 1/64*(240*A*a^3*c^3 + 208*B*a^3*c^3 + 624*A*a^3*c^2*d + 552*B*a^3*c^2*d + 552*A*a^3*c*d^2 + 504*B*a^3*c*d^2 + 168*A*a^3*d^3 + 155*B*a^3*d^3)*cos(f*x + e)/f - 1/192*(3*B*a^3*c*d^2 + A*a^3*d^3 + 3*B*a^3*d^3)*sin(6*f*x + 6*e)/f + 1/64*(2*B*a^3*c^3 + 6*A*a^3*c^2*d + 18*B*a^3*c^2*d + 18*A*a^3*c*d^2 + 27*B*a^3*c*d^2 + 9*A*a^3*d^3 + 11*B*a^3*d^3)*sin(4*f*x + 4*e)/f - 1/64*(48*A*a^3*c^3 + 64*B*a^3*c^3 + 192*A*a^3*c^2*d + 192*B*a^3*c^2*d + 192*A*a^3*c*d^2 + 189*B*a^3*c*d^2 + 63*A*a^3*d^3 + 61*B*a^3*d^3)*sin(2*f*x + 2*e)/f","A",0
259,1,380,0,0.213011," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","-\frac{B a^{3} d^{2} \sin\left(6 \, f x + 6 \, e\right)}{192 \, f} + \frac{1}{16} \, {\left(40 \, A a^{3} c^{2} + 30 \, B a^{3} c^{2} + 60 \, A a^{3} c d + 52 \, B a^{3} c d + 26 \, A a^{3} d^{2} + 23 \, B a^{3} d^{2}\right)} x - \frac{{\left(2 \, B a^{3} c d + A a^{3} d^{2} + 3 \, B a^{3} d^{2}\right)} \cos\left(5 \, f x + 5 \, e\right)}{80 \, f} + \frac{{\left(4 \, A a^{3} c^{2} + 12 \, B a^{3} c^{2} + 24 \, A a^{3} c d + 34 \, B a^{3} c d + 17 \, A a^{3} d^{2} + 19 \, B a^{3} d^{2}\right)} \cos\left(3 \, f x + 3 \, e\right)}{48 \, f} - \frac{{\left(30 \, A a^{3} c^{2} + 26 \, B a^{3} c^{2} + 52 \, A a^{3} c d + 46 \, B a^{3} c d + 23 \, A a^{3} d^{2} + 21 \, B a^{3} d^{2}\right)} \cos\left(f x + e\right)}{8 \, f} + \frac{{\left(2 \, B a^{3} c^{2} + 4 \, A a^{3} c d + 12 \, B a^{3} c d + 6 \, A a^{3} d^{2} + 9 \, B a^{3} d^{2}\right)} \sin\left(4 \, f x + 4 \, e\right)}{64 \, f} - \frac{{\left(48 \, A a^{3} c^{2} + 64 \, B a^{3} c^{2} + 128 \, A a^{3} c d + 128 \, B a^{3} c d + 64 \, A a^{3} d^{2} + 63 \, B a^{3} d^{2}\right)} \sin\left(2 \, f x + 2 \, e\right)}{64 \, f}"," ",0,"-1/192*B*a^3*d^2*sin(6*f*x + 6*e)/f + 1/16*(40*A*a^3*c^2 + 30*B*a^3*c^2 + 60*A*a^3*c*d + 52*B*a^3*c*d + 26*A*a^3*d^2 + 23*B*a^3*d^2)*x - 1/80*(2*B*a^3*c*d + A*a^3*d^2 + 3*B*a^3*d^2)*cos(5*f*x + 5*e)/f + 1/48*(4*A*a^3*c^2 + 12*B*a^3*c^2 + 24*A*a^3*c*d + 34*B*a^3*c*d + 17*A*a^3*d^2 + 19*B*a^3*d^2)*cos(3*f*x + 3*e)/f - 1/8*(30*A*a^3*c^2 + 26*B*a^3*c^2 + 52*A*a^3*c*d + 46*B*a^3*c*d + 23*A*a^3*d^2 + 21*B*a^3*d^2)*cos(f*x + e)/f + 1/64*(2*B*a^3*c^2 + 4*A*a^3*c*d + 12*B*a^3*c*d + 6*A*a^3*d^2 + 9*B*a^3*d^2)*sin(4*f*x + 4*e)/f - 1/64*(48*A*a^3*c^2 + 64*B*a^3*c^2 + 128*A*a^3*c*d + 128*B*a^3*c*d + 64*A*a^3*d^2 + 63*B*a^3*d^2)*sin(2*f*x + 2*e)/f","A",0
260,1,217,0,0.176627," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))*(c+d*sin(f*x+e)),x, algorithm=""giac"")","-\frac{B a^{3} d \cos\left(5 \, f x + 5 \, e\right)}{80 \, f} + \frac{1}{8} \, {\left(20 \, A a^{3} c + 15 \, B a^{3} c + 15 \, A a^{3} d + 13 \, B a^{3} d\right)} x + \frac{{\left(4 \, A a^{3} c + 12 \, B a^{3} c + 12 \, A a^{3} d + 17 \, B a^{3} d\right)} \cos\left(3 \, f x + 3 \, e\right)}{48 \, f} - \frac{{\left(30 \, A a^{3} c + 26 \, B a^{3} c + 26 \, A a^{3} d + 23 \, B a^{3} d\right)} \cos\left(f x + e\right)}{8 \, f} + \frac{{\left(B a^{3} c + A a^{3} d + 3 \, B a^{3} d\right)} \sin\left(4 \, f x + 4 \, e\right)}{32 \, f} - \frac{{\left(3 \, A a^{3} c + 4 \, B a^{3} c + 4 \, A a^{3} d + 4 \, B a^{3} d\right)} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f}"," ",0,"-1/80*B*a^3*d*cos(5*f*x + 5*e)/f + 1/8*(20*A*a^3*c + 15*B*a^3*c + 15*A*a^3*d + 13*B*a^3*d)*x + 1/48*(4*A*a^3*c + 12*B*a^3*c + 12*A*a^3*d + 17*B*a^3*d)*cos(3*f*x + 3*e)/f - 1/8*(30*A*a^3*c + 26*B*a^3*c + 26*A*a^3*d + 23*B*a^3*d)*cos(f*x + e)/f + 1/32*(B*a^3*c + A*a^3*d + 3*B*a^3*d)*sin(4*f*x + 4*e)/f - 1/4*(3*A*a^3*c + 4*B*a^3*c + 4*A*a^3*d + 4*B*a^3*d)*sin(2*f*x + 2*e)/f","A",0
261,1,116,0,0.165070," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\frac{B a^{3} \sin\left(4 \, f x + 4 \, e\right)}{32 \, f} + \frac{5}{8} \, {\left(4 \, A a^{3} + 3 \, B a^{3}\right)} x + \frac{{\left(A a^{3} + 3 \, B a^{3}\right)} \cos\left(3 \, f x + 3 \, e\right)}{12 \, f} - \frac{{\left(15 \, A a^{3} + 13 \, B a^{3}\right)} \cos\left(f x + e\right)}{4 \, f} - \frac{{\left(3 \, A a^{3} + 4 \, B a^{3}\right)} \sin\left(2 \, f x + 2 \, e\right)}{4 \, f}"," ",0,"1/32*B*a^3*sin(4*f*x + 4*e)/f + 5/8*(4*A*a^3 + 3*B*a^3)*x + 1/12*(A*a^3 + 3*B*a^3)*cos(3*f*x + 3*e)/f - 1/4*(15*A*a^3 + 13*B*a^3)*cos(f*x + e)/f - 1/4*(3*A*a^3 + 4*B*a^3)*sin(2*f*x + 2*e)/f","A",0
262,1,617,0,0.211397," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c+d*sin(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(2 \, B a^{3} c^{3} - 2 \, A a^{3} c^{2} d - 6 \, B a^{3} c^{2} d + 6 \, A a^{3} c d^{2} + 7 \, B a^{3} c d^{2} - 7 \, A a^{3} d^{3} - 5 \, B a^{3} d^{3}\right)} {\left(f x + e\right)}}{d^{4}} - \frac{12 \, {\left(B a^{3} c^{4} - A a^{3} c^{3} d - 3 \, B a^{3} c^{3} d + 3 \, A a^{3} c^{2} d^{2} + 3 \, B a^{3} c^{2} d^{2} - 3 \, A a^{3} c d^{3} - B a^{3} c d^{3} + A a^{3} d^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{\sqrt{c^{2} - d^{2}} d^{4}} + \frac{2 \, {\left(3 \, B a^{3} c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 3 \, A a^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 9 \, B a^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 6 \, B a^{3} c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 6 \, A a^{3} c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 18 \, B a^{3} c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 18 \, A a^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 18 \, B a^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 12 \, B a^{3} c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 12 \, A a^{3} c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 36 \, B a^{3} c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 36 \, A a^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 48 \, B a^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, B a^{3} c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, A a^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 9 \, B a^{3} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 6 \, B a^{3} c^{2} - 6 \, A a^{3} c d - 18 \, B a^{3} c d + 18 \, A a^{3} d^{2} + 22 \, B a^{3} d^{2}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{3} d^{3}}}{6 \, f}"," ",0,"-1/6*(3*(2*B*a^3*c^3 - 2*A*a^3*c^2*d - 6*B*a^3*c^2*d + 6*A*a^3*c*d^2 + 7*B*a^3*c*d^2 - 7*A*a^3*d^3 - 5*B*a^3*d^3)*(f*x + e)/d^4 - 12*(B*a^3*c^4 - A*a^3*c^3*d - 3*B*a^3*c^3*d + 3*A*a^3*c^2*d^2 + 3*B*a^3*c^2*d^2 - 3*A*a^3*c*d^3 - B*a^3*c*d^3 + A*a^3*d^4)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/(sqrt(c^2 - d^2)*d^4) + 2*(3*B*a^3*c*d*tan(1/2*f*x + 1/2*e)^5 - 3*A*a^3*d^2*tan(1/2*f*x + 1/2*e)^5 - 9*B*a^3*d^2*tan(1/2*f*x + 1/2*e)^5 + 6*B*a^3*c^2*tan(1/2*f*x + 1/2*e)^4 - 6*A*a^3*c*d*tan(1/2*f*x + 1/2*e)^4 - 18*B*a^3*c*d*tan(1/2*f*x + 1/2*e)^4 + 18*A*a^3*d^2*tan(1/2*f*x + 1/2*e)^4 + 18*B*a^3*d^2*tan(1/2*f*x + 1/2*e)^4 + 12*B*a^3*c^2*tan(1/2*f*x + 1/2*e)^2 - 12*A*a^3*c*d*tan(1/2*f*x + 1/2*e)^2 - 36*B*a^3*c*d*tan(1/2*f*x + 1/2*e)^2 + 36*A*a^3*d^2*tan(1/2*f*x + 1/2*e)^2 + 48*B*a^3*d^2*tan(1/2*f*x + 1/2*e)^2 - 3*B*a^3*c*d*tan(1/2*f*x + 1/2*e) + 3*A*a^3*d^2*tan(1/2*f*x + 1/2*e) + 9*B*a^3*d^2*tan(1/2*f*x + 1/2*e) + 6*B*a^3*c^2 - 6*A*a^3*c*d - 18*B*a^3*c*d + 18*A*a^3*d^2 + 22*B*a^3*d^2)/((tan(1/2*f*x + 1/2*e)^2 + 1)^3*d^3))/f","B",0
263,1,588,0,0.212955," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(3 \, B a^{3} c^{4} - 2 \, A a^{3} c^{3} d - 3 \, B a^{3} c^{3} d + A a^{3} c^{2} d^{2} - 4 \, B a^{3} c^{2} d^{2} + 4 \, A a^{3} c d^{3} + 5 \, B a^{3} c d^{3} - 3 \, A a^{3} d^{4} - B a^{3} d^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(c d^{4} + d^{5}\right)} \sqrt{c^{2} - d^{2}}} - \frac{4 \, {\left(B a^{3} c^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - A a^{3} c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 2 \, B a^{3} c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A a^{3} c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + B a^{3} c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - A a^{3} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + B a^{3} c^{4} - A a^{3} c^{3} d - 2 \, B a^{3} c^{3} d + 2 \, A a^{3} c^{2} d^{2} + B a^{3} c^{2} d^{2} - A a^{3} c d^{3}\right)}}{{\left(c^{2} d^{3} + c d^{4}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}} - \frac{{\left(6 \, B a^{3} c^{2} - 4 \, A a^{3} c d - 12 \, B a^{3} c d + 6 \, A a^{3} d^{2} + 7 \, B a^{3} d^{2}\right)} {\left(f x + e\right)}}{d^{4}} - \frac{2 \, {\left(B a^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 4 \, B a^{3} c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, A a^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 6 \, B a^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B a^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 4 \, B a^{3} c - 2 \, A a^{3} d - 6 \, B a^{3} d\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{2} d^{3}}}{2 \, f}"," ",0,"-1/2*(4*(3*B*a^3*c^4 - 2*A*a^3*c^3*d - 3*B*a^3*c^3*d + A*a^3*c^2*d^2 - 4*B*a^3*c^2*d^2 + 4*A*a^3*c*d^3 + 5*B*a^3*c*d^3 - 3*A*a^3*d^4 - B*a^3*d^4)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((c*d^4 + d^5)*sqrt(c^2 - d^2)) - 4*(B*a^3*c^3*d*tan(1/2*f*x + 1/2*e) - A*a^3*c^2*d^2*tan(1/2*f*x + 1/2*e) - 2*B*a^3*c^2*d^2*tan(1/2*f*x + 1/2*e) + 2*A*a^3*c*d^3*tan(1/2*f*x + 1/2*e) + B*a^3*c*d^3*tan(1/2*f*x + 1/2*e) - A*a^3*d^4*tan(1/2*f*x + 1/2*e) + B*a^3*c^4 - A*a^3*c^3*d - 2*B*a^3*c^3*d + 2*A*a^3*c^2*d^2 + B*a^3*c^2*d^2 - A*a^3*c*d^3)/((c^2*d^3 + c*d^4)*(c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)) - (6*B*a^3*c^2 - 4*A*a^3*c*d - 12*B*a^3*c*d + 6*A*a^3*d^2 + 7*B*a^3*d^2)*(f*x + e)/d^4 - 2*(B*a^3*d*tan(1/2*f*x + 1/2*e)^3 + 4*B*a^3*c*tan(1/2*f*x + 1/2*e)^2 - 2*A*a^3*d*tan(1/2*f*x + 1/2*e)^2 - 6*B*a^3*d*tan(1/2*f*x + 1/2*e)^2 - B*a^3*d*tan(1/2*f*x + 1/2*e) + 4*B*a^3*c - 2*A*a^3*d - 6*B*a^3*d)/((tan(1/2*f*x + 1/2*e)^2 + 1)^2*d^3))/f","B",0
264,1,986,0,0.303123," ","integrate((a+a*sin(f*x+e))^3*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{{\left(6 \, B a^{3} c^{4} - 2 \, A a^{3} c^{3} d + 6 \, B a^{3} c^{3} d - 4 \, A a^{3} c^{2} d^{2} - 9 \, B a^{3} c^{2} d^{2} - A a^{3} c d^{3} - 9 \, B a^{3} c d^{3} + 7 \, A a^{3} d^{4} + 6 \, B a^{3} d^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(c^{2} d^{4} + 2 \, c d^{5} + d^{6}\right)} \sqrt{c^{2} - d^{2}}} - \frac{2 \, B a^{3}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)} d^{3}} - \frac{3 \, B a^{3} c^{5} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - A a^{3} c^{4} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 3 \, B a^{3} c^{4} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 5 \, A a^{3} c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 6 \, B a^{3} c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 4 \, A a^{3} c^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, A a^{3} c d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 4 \, B a^{3} c^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, A a^{3} c^{5} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, B a^{3} c^{5} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 4 \, A a^{3} c^{4} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + B a^{3} c^{4} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + A a^{3} c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 5 \, B a^{3} c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 7 \, A a^{3} c^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 14 \, B a^{3} c^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 10 \, A a^{3} c d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, B a^{3} c d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, A a^{3} d^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 13 \, B a^{3} c^{5} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 7 \, A a^{3} c^{4} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 5 \, B a^{3} c^{4} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 11 \, A a^{3} c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 22 \, B a^{3} c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 16 \, A a^{3} c^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 4 \, B a^{3} c^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A a^{3} c d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 4 \, B a^{3} c^{6} - 2 \, A a^{3} c^{5} d + 2 \, B a^{3} c^{5} d - 4 \, A a^{3} c^{4} d^{2} - 7 \, B a^{3} c^{4} d^{2} + 5 \, A a^{3} c^{3} d^{3} + B a^{3} c^{3} d^{3} + A a^{3} c^{2} d^{4}}{{\left(c^{4} d^{3} + 2 \, c^{3} d^{4} + c^{2} d^{5}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}^{2}} - \frac{{\left(3 \, B a^{3} c - A a^{3} d - 3 \, B a^{3} d\right)} {\left(f x + e\right)}}{d^{4}}}{f}"," ",0,"((6*B*a^3*c^4 - 2*A*a^3*c^3*d + 6*B*a^3*c^3*d - 4*A*a^3*c^2*d^2 - 9*B*a^3*c^2*d^2 - A*a^3*c*d^3 - 9*B*a^3*c*d^3 + 7*A*a^3*d^4 + 6*B*a^3*d^4)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((c^2*d^4 + 2*c*d^5 + d^6)*sqrt(c^2 - d^2)) - 2*B*a^3/((tan(1/2*f*x + 1/2*e)^2 + 1)*d^3) - (3*B*a^3*c^5*d*tan(1/2*f*x + 1/2*e)^3 - A*a^3*c^4*d^2*tan(1/2*f*x + 1/2*e)^3 + 3*B*a^3*c^4*d^2*tan(1/2*f*x + 1/2*e)^3 - 5*A*a^3*c^3*d^3*tan(1/2*f*x + 1/2*e)^3 - 6*B*a^3*c^3*d^3*tan(1/2*f*x + 1/2*e)^3 + 4*A*a^3*c^2*d^4*tan(1/2*f*x + 1/2*e)^3 + 2*A*a^3*c*d^5*tan(1/2*f*x + 1/2*e)^3 + 4*B*a^3*c^6*tan(1/2*f*x + 1/2*e)^2 - 2*A*a^3*c^5*d*tan(1/2*f*x + 1/2*e)^2 + 2*B*a^3*c^5*d*tan(1/2*f*x + 1/2*e)^2 - 4*A*a^3*c^4*d^2*tan(1/2*f*x + 1/2*e)^2 + B*a^3*c^4*d^2*tan(1/2*f*x + 1/2*e)^2 + A*a^3*c^3*d^3*tan(1/2*f*x + 1/2*e)^2 + 5*B*a^3*c^3*d^3*tan(1/2*f*x + 1/2*e)^2 - 7*A*a^3*c^2*d^4*tan(1/2*f*x + 1/2*e)^2 - 14*B*a^3*c^2*d^4*tan(1/2*f*x + 1/2*e)^2 + 10*A*a^3*c*d^5*tan(1/2*f*x + 1/2*e)^2 + 2*B*a^3*c*d^5*tan(1/2*f*x + 1/2*e)^2 + 2*A*a^3*d^6*tan(1/2*f*x + 1/2*e)^2 + 13*B*a^3*c^5*d*tan(1/2*f*x + 1/2*e) - 7*A*a^3*c^4*d^2*tan(1/2*f*x + 1/2*e) + 5*B*a^3*c^4*d^2*tan(1/2*f*x + 1/2*e) - 11*A*a^3*c^3*d^3*tan(1/2*f*x + 1/2*e) - 22*B*a^3*c^3*d^3*tan(1/2*f*x + 1/2*e) + 16*A*a^3*c^2*d^4*tan(1/2*f*x + 1/2*e) + 4*B*a^3*c^2*d^4*tan(1/2*f*x + 1/2*e) + 2*A*a^3*c*d^5*tan(1/2*f*x + 1/2*e) + 4*B*a^3*c^6 - 2*A*a^3*c^5*d + 2*B*a^3*c^5*d - 4*A*a^3*c^4*d^2 - 7*B*a^3*c^4*d^2 + 5*A*a^3*c^3*d^3 + B*a^3*c^3*d^3 + A*a^3*c^2*d^4)/((c^4*d^3 + 2*c^3*d^4 + c^2*d^5)*(c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)^2) - (3*B*a^3*c - A*a^3*d - 3*B*a^3*d)*(f*x + e)/d^4)/f","B",0
265,1,479,0,0.198128," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\frac{\frac{3 \, {\left(2 \, B c^{3} + 6 \, A c^{2} d - 6 \, B c^{2} d - 6 \, A c d^{2} + 9 \, B c d^{2} + 3 \, A d^{3} - 3 \, B d^{3}\right)} {\left(f x + e\right)}}{a} - \frac{12 \, {\left(A c^{3} - B c^{3} - 3 \, A c^{2} d + 3 \, B c^{2} d + 3 \, A c d^{2} - 3 \, B c d^{2} - A d^{3} + B d^{3}\right)}}{a {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}} + \frac{2 \, {\left(9 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 3 \, A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 3 \, B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 18 \, B c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 18 \, A c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 18 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 6 \, A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 6 \, B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 36 \, B c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 36 \, A c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 36 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 12 \, A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 24 \, B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 9 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 3 \, A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 18 \, B c^{2} d - 18 \, A c d^{2} + 18 \, B c d^{2} + 6 \, A d^{3} - 10 \, B d^{3}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{3} a}}{6 \, f}"," ",0,"1/6*(3*(2*B*c^3 + 6*A*c^2*d - 6*B*c^2*d - 6*A*c*d^2 + 9*B*c*d^2 + 3*A*d^3 - 3*B*d^3)*(f*x + e)/a - 12*(A*c^3 - B*c^3 - 3*A*c^2*d + 3*B*c^2*d + 3*A*c*d^2 - 3*B*c*d^2 - A*d^3 + B*d^3)/(a*(tan(1/2*f*x + 1/2*e) + 1)) + 2*(9*B*c*d^2*tan(1/2*f*x + 1/2*e)^5 + 3*A*d^3*tan(1/2*f*x + 1/2*e)^5 - 3*B*d^3*tan(1/2*f*x + 1/2*e)^5 - 18*B*c^2*d*tan(1/2*f*x + 1/2*e)^4 - 18*A*c*d^2*tan(1/2*f*x + 1/2*e)^4 + 18*B*c*d^2*tan(1/2*f*x + 1/2*e)^4 + 6*A*d^3*tan(1/2*f*x + 1/2*e)^4 - 6*B*d^3*tan(1/2*f*x + 1/2*e)^4 - 36*B*c^2*d*tan(1/2*f*x + 1/2*e)^2 - 36*A*c*d^2*tan(1/2*f*x + 1/2*e)^2 + 36*B*c*d^2*tan(1/2*f*x + 1/2*e)^2 + 12*A*d^3*tan(1/2*f*x + 1/2*e)^2 - 24*B*d^3*tan(1/2*f*x + 1/2*e)^2 - 9*B*c*d^2*tan(1/2*f*x + 1/2*e) - 3*A*d^3*tan(1/2*f*x + 1/2*e) + 3*B*d^3*tan(1/2*f*x + 1/2*e) - 18*B*c^2*d - 18*A*c*d^2 + 18*B*c*d^2 + 6*A*d^3 - 10*B*d^3)/((tan(1/2*f*x + 1/2*e)^2 + 1)^3*a))/f","B",0
266,1,222,0,0.156442," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\frac{\frac{{\left(2 \, B c^{2} + 4 \, A c d - 4 \, B c d - 2 \, A d^{2} + 3 \, B d^{2}\right)} {\left(f x + e\right)}}{a} - \frac{4 \, {\left(A c^{2} - B c^{2} - 2 \, A c d + 2 \, B c d + A d^{2} - B d^{2}\right)}}{a {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}} + \frac{2 \, {\left(B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 4 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 4 \, B c d - 2 \, A d^{2} + 2 \, B d^{2}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{2} a}}{2 \, f}"," ",0,"1/2*((2*B*c^2 + 4*A*c*d - 4*B*c*d - 2*A*d^2 + 3*B*d^2)*(f*x + e)/a - 4*(A*c^2 - B*c^2 - 2*A*c*d + 2*B*c*d + A*d^2 - B*d^2)/(a*(tan(1/2*f*x + 1/2*e) + 1)) + 2*(B*d^2*tan(1/2*f*x + 1/2*e)^3 - 4*B*c*d*tan(1/2*f*x + 1/2*e)^2 - 2*A*d^2*tan(1/2*f*x + 1/2*e)^2 + 2*B*d^2*tan(1/2*f*x + 1/2*e)^2 - B*d^2*tan(1/2*f*x + 1/2*e) - 4*B*c*d - 2*A*d^2 + 2*B*d^2)/((tan(1/2*f*x + 1/2*e)^2 + 1)^2*a))/f","A",0
267,1,160,0,0.140558," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\frac{\frac{{\left(B c + A d - B d\right)} {\left(f x + e\right)}}{a} - \frac{2 \, {\left(A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - A d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + A c - B c - A d + 2 \, B d\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)} a}}{f}"," ",0,"((B*c + A*d - B*d)*(f*x + e)/a - 2*(A*c*tan(1/2*f*x + 1/2*e)^2 - B*c*tan(1/2*f*x + 1/2*e)^2 - A*d*tan(1/2*f*x + 1/2*e)^2 + B*d*tan(1/2*f*x + 1/2*e)^2 + B*d*tan(1/2*f*x + 1/2*e) + A*c - B*c - A*d + 2*B*d)/((tan(1/2*f*x + 1/2*e)^3 + tan(1/2*f*x + 1/2*e)^2 + tan(1/2*f*x + 1/2*e) + 1)*a))/f","B",0
268,1,40,0,0.146317," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\frac{\frac{{\left(f x + e\right)} B}{a} - \frac{2 \, {\left(A - B\right)}}{a {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}}}{f}"," ",0,"((f*x + e)*B/a - 2*(A - B)/(a*(tan(1/2*f*x + 1/2*e) + 1)))/f","A",0
269,1,113,0,0.167880," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c+d*sin(f*x+e)),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{{\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)} {\left(B c - A d\right)}}{{\left(a c - a d\right)} \sqrt{c^{2} - d^{2}}} - \frac{A - B}{{\left(a c - a d\right)} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}}\right)}}{f}"," ",0,"2*((pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))*(B*c - A*d)/((a*c - a*d)*sqrt(c^2 - d^2)) - (A - B)/((a*c - a*d)*(tan(1/2*f*x + 1/2*e) + 1)))/f","A",0
270,1,443,0,0.193207," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{2 \, {\left(\frac{{\left(B c^{2} - 2 \, A c d + B c d - A d^{2} + B d^{2}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(a c^{3} - a c^{2} d - a c d^{2} + a d^{3}\right)} \sqrt{c^{2} - d^{2}}} - \frac{A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + A c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, A c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 3 \, B c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, A c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 3 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + A c^{3} - B c^{3} + A c^{2} d - 2 \, B c^{2} d + A c d^{2}}{{\left(a c^{4} - a c^{3} d - a c^{2} d^{2} + a c d^{3}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}}\right)}}{f}"," ",0,"2*((B*c^2 - 2*A*c*d + B*c*d - A*d^2 + B*d^2)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((a*c^3 - a*c^2*d - a*c*d^2 + a*d^3)*sqrt(c^2 - d^2)) - (A*c^3*tan(1/2*f*x + 1/2*e)^2 - B*c^3*tan(1/2*f*x + 1/2*e)^2 + A*c^2*d*tan(1/2*f*x + 1/2*e)^2 - B*c^2*d*tan(1/2*f*x + 1/2*e)^2 - B*c*d^2*tan(1/2*f*x + 1/2*e)^2 + A*d^3*tan(1/2*f*x + 1/2*e)^2 + 2*A*c^2*d*tan(1/2*f*x + 1/2*e) - 3*B*c^2*d*tan(1/2*f*x + 1/2*e) + 3*A*c*d^2*tan(1/2*f*x + 1/2*e) - 3*B*c*d^2*tan(1/2*f*x + 1/2*e) + A*d^3*tan(1/2*f*x + 1/2*e) + A*c^3 - B*c^3 + A*c^2*d - 2*B*c^2*d + A*c*d^2)/((a*c^4 - a*c^3*d - a*c^2*d^2 + a*c*d^3)*(c*tan(1/2*f*x + 1/2*e)^3 + c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e)^2 + c*tan(1/2*f*x + 1/2*e) + 2*d*tan(1/2*f*x + 1/2*e) + c)))/f","B",0
271,1,753,0,0.298345," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{{\left(2 \, B c^{3} - 6 \, A c^{2} d + 4 \, B c^{2} d - 6 \, A c d^{2} + 7 \, B c d^{2} - 3 \, A d^{3} + 2 \, B d^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(a c^{5} - a c^{4} d - 2 \, a c^{3} d^{2} + 2 \, a c^{2} d^{3} + a c d^{4} - a d^{5}\right)} \sqrt{c^{2} - d^{2}}} - \frac{2 \, {\left(A - B\right)}}{{\left(a c^{3} - 3 \, a c^{2} d + 3 \, a c d^{2} - a d^{3}\right)} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}} + \frac{5 \, B c^{4} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 7 \, A c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, B c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 \, A c^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, A c d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 4 \, B c^{5} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 6 \, A c^{4} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, B c^{4} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, A c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 9 \, B c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 11 \, A c^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 4 \, B c^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 4 \, A c d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, B c d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, A d^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 11 \, B c^{4} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 17 \, A c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 6 \, B c^{3} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 6 \, A c^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 4 \, B c^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A c d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 4 \, B c^{5} d - 6 \, A c^{4} d^{2} + 2 \, B c^{4} d^{2} - 2 \, A c^{3} d^{3} + B c^{3} d^{3} + A c^{2} d^{4}}{{\left(a c^{7} - a c^{6} d - 2 \, a c^{5} d^{2} + 2 \, a c^{4} d^{3} + a c^{3} d^{4} - a c^{2} d^{5}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}^{2}}}{f}"," ",0,"((2*B*c^3 - 6*A*c^2*d + 4*B*c^2*d - 6*A*c*d^2 + 7*B*c*d^2 - 3*A*d^3 + 2*B*d^3)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((a*c^5 - a*c^4*d - 2*a*c^3*d^2 + 2*a*c^2*d^3 + a*c*d^4 - a*d^5)*sqrt(c^2 - d^2)) - 2*(A - B)/((a*c^3 - 3*a*c^2*d + 3*a*c*d^2 - a*d^3)*(tan(1/2*f*x + 1/2*e) + 1)) + (5*B*c^4*d^2*tan(1/2*f*x + 1/2*e)^3 - 7*A*c^3*d^3*tan(1/2*f*x + 1/2*e)^3 + 2*B*c^3*d^3*tan(1/2*f*x + 1/2*e)^3 - 2*A*c^2*d^4*tan(1/2*f*x + 1/2*e)^3 + 2*A*c*d^5*tan(1/2*f*x + 1/2*e)^3 + 4*B*c^5*d*tan(1/2*f*x + 1/2*e)^2 - 6*A*c^4*d^2*tan(1/2*f*x + 1/2*e)^2 + 2*B*c^4*d^2*tan(1/2*f*x + 1/2*e)^2 - 2*A*c^3*d^3*tan(1/2*f*x + 1/2*e)^2 + 9*B*c^3*d^3*tan(1/2*f*x + 1/2*e)^2 - 11*A*c^2*d^4*tan(1/2*f*x + 1/2*e)^2 + 4*B*c^2*d^4*tan(1/2*f*x + 1/2*e)^2 - 4*A*c*d^5*tan(1/2*f*x + 1/2*e)^2 + 2*B*c*d^5*tan(1/2*f*x + 1/2*e)^2 + 2*A*d^6*tan(1/2*f*x + 1/2*e)^2 + 11*B*c^4*d^2*tan(1/2*f*x + 1/2*e) - 17*A*c^3*d^3*tan(1/2*f*x + 1/2*e) + 6*B*c^3*d^3*tan(1/2*f*x + 1/2*e) - 6*A*c^2*d^4*tan(1/2*f*x + 1/2*e) + 4*B*c^2*d^4*tan(1/2*f*x + 1/2*e) + 2*A*c*d^5*tan(1/2*f*x + 1/2*e) + 4*B*c^5*d - 6*A*c^4*d^2 + 2*B*c^4*d^2 - 2*A*c^3*d^3 + B*c^3*d^3 + A*c^2*d^4)/((a*c^7 - a*c^6*d - 2*a*c^5*d^2 + 2*a*c^4*d^3 + a*c^3*d^4 - a*c^2*d^5)*(c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)^2))/f","B",0
272,1,494,0,0.217073," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(6 \, B c^{2} d + 6 \, A c d^{2} - 12 \, B c d^{2} - 4 \, A d^{3} + 7 \, B d^{3}\right)} {\left(f x + e\right)}}{a^{2}} + \frac{6 \, {\left(B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 6 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 4 \, B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 6 \, B c d^{2} - 2 \, A d^{3} + 4 \, B d^{3}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)}^{2} a^{2}} - \frac{4 \, {\left(3 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 9 \, B c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 9 \, A c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 18 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 6 \, A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 9 \, B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 9 \, A c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 27 \, B c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 27 \, A c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 45 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 21 \, B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A c^{3} + B c^{3} + 3 \, A c^{2} d - 12 \, B c^{2} d - 12 \, A c d^{2} + 21 \, B c d^{2} + 7 \, A d^{3} - 10 \, B d^{3}\right)}}{a^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}}}{6 \, f}"," ",0,"1/6*(3*(6*B*c^2*d + 6*A*c*d^2 - 12*B*c*d^2 - 4*A*d^3 + 7*B*d^3)*(f*x + e)/a^2 + 6*(B*d^3*tan(1/2*f*x + 1/2*e)^3 - 6*B*c*d^2*tan(1/2*f*x + 1/2*e)^2 - 2*A*d^3*tan(1/2*f*x + 1/2*e)^2 + 4*B*d^3*tan(1/2*f*x + 1/2*e)^2 - B*d^3*tan(1/2*f*x + 1/2*e) - 6*B*c*d^2 - 2*A*d^3 + 4*B*d^3)/((tan(1/2*f*x + 1/2*e)^2 + 1)^2*a^2) - 4*(3*A*c^3*tan(1/2*f*x + 1/2*e)^2 - 9*B*c^2*d*tan(1/2*f*x + 1/2*e)^2 - 9*A*c*d^2*tan(1/2*f*x + 1/2*e)^2 + 18*B*c*d^2*tan(1/2*f*x + 1/2*e)^2 + 6*A*d^3*tan(1/2*f*x + 1/2*e)^2 - 9*B*d^3*tan(1/2*f*x + 1/2*e)^2 + 3*A*c^3*tan(1/2*f*x + 1/2*e) + 3*B*c^3*tan(1/2*f*x + 1/2*e) + 9*A*c^2*d*tan(1/2*f*x + 1/2*e) - 27*B*c^2*d*tan(1/2*f*x + 1/2*e) - 27*A*c*d^2*tan(1/2*f*x + 1/2*e) + 45*B*c*d^2*tan(1/2*f*x + 1/2*e) + 15*A*d^3*tan(1/2*f*x + 1/2*e) - 21*B*d^3*tan(1/2*f*x + 1/2*e) + 2*A*c^3 + B*c^3 + 3*A*c^2*d - 12*B*c^2*d - 12*A*c*d^2 + 21*B*c*d^2 + 7*A*d^3 - 10*B*d^3)/(a^2*(tan(1/2*f*x + 1/2*e) + 1)^3))/f","B",0
273,1,277,0,0.192733," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(2 \, B c d + A d^{2} - 2 \, B d^{2}\right)} {\left(f x + e\right)}}{a^{2}} - \frac{6 \, B d^{2}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)} a^{2}} - \frac{2 \, {\left(3 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 6 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 6 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 6 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 18 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 9 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A c^{2} + B c^{2} + 2 \, A c d - 8 \, B c d - 4 \, A d^{2} + 7 \, B d^{2}\right)}}{a^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}}}{3 \, f}"," ",0,"1/3*(3*(2*B*c*d + A*d^2 - 2*B*d^2)*(f*x + e)/a^2 - 6*B*d^2/((tan(1/2*f*x + 1/2*e)^2 + 1)*a^2) - 2*(3*A*c^2*tan(1/2*f*x + 1/2*e)^2 - 6*B*c*d*tan(1/2*f*x + 1/2*e)^2 - 3*A*d^2*tan(1/2*f*x + 1/2*e)^2 + 6*B*d^2*tan(1/2*f*x + 1/2*e)^2 + 3*A*c^2*tan(1/2*f*x + 1/2*e) + 3*B*c^2*tan(1/2*f*x + 1/2*e) + 6*A*c*d*tan(1/2*f*x + 1/2*e) - 18*B*c*d*tan(1/2*f*x + 1/2*e) - 9*A*d^2*tan(1/2*f*x + 1/2*e) + 15*B*d^2*tan(1/2*f*x + 1/2*e) + 2*A*c^2 + B*c^2 + 2*A*c*d - 8*B*c*d - 4*A*d^2 + 7*B*d^2)/(a^2*(tan(1/2*f*x + 1/2*e) + 1)^3))/f","B",0
274,1,141,0,0.154051," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(f x + e\right)} B d}{a^{2}} - \frac{2 \, {\left(3 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, A d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 9 \, B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A c + B c + A d - 4 \, B d\right)}}{a^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}}}{3 \, f}"," ",0,"1/3*(3*(f*x + e)*B*d/a^2 - 2*(3*A*c*tan(1/2*f*x + 1/2*e)^2 - 3*B*d*tan(1/2*f*x + 1/2*e)^2 + 3*A*c*tan(1/2*f*x + 1/2*e) + 3*B*c*tan(1/2*f*x + 1/2*e) + 3*A*d*tan(1/2*f*x + 1/2*e) - 9*B*d*tan(1/2*f*x + 1/2*e) + 2*A*c + B*c + A*d - 4*B*d)/(a^2*(tan(1/2*f*x + 1/2*e) + 1)^3))/f","A",0
275,1,68,0,0.185417," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A + B\right)}}{3 \, a^{2} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}}"," ",0,"-2/3*(3*A*tan(1/2*f*x + 1/2*e)^2 + 3*A*tan(1/2*f*x + 1/2*e) + 3*B*tan(1/2*f*x + 1/2*e) + 2*A + B)/(a^2*f*(tan(1/2*f*x + 1/2*e) + 1)^3)","A",0
276,1,259,0,0.216258," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c+d*sin(f*x+e)),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{3 \, {\left(B c d - A d^{2}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(a^{2} c^{2} - 2 \, a^{2} c d + a^{2} d^{2}\right)} \sqrt{c^{2} - d^{2}}} + \frac{3 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 6 \, A d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 9 \, A d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A c + B c - 5 \, A d + 2 \, B d}{{\left(a^{2} c^{2} - 2 \, a^{2} c d + a^{2} d^{2}\right)} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}}\right)}}{3 \, f}"," ",0,"-2/3*(3*(B*c*d - A*d^2)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((a^2*c^2 - 2*a^2*c*d + a^2*d^2)*sqrt(c^2 - d^2)) + (3*A*c*tan(1/2*f*x + 1/2*e)^2 - 6*A*d*tan(1/2*f*x + 1/2*e)^2 + 3*B*d*tan(1/2*f*x + 1/2*e)^2 + 3*A*c*tan(1/2*f*x + 1/2*e) + 3*B*c*tan(1/2*f*x + 1/2*e) - 9*A*d*tan(1/2*f*x + 1/2*e) + 3*B*d*tan(1/2*f*x + 1/2*e) + 2*A*c + B*c - 5*A*d + 2*B*d)/((a^2*c^2 - 2*a^2*c*d + a^2*d^2)*(tan(1/2*f*x + 1/2*e) + 1)^3))/f","A",0
277,1,425,0,0.231812," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{3 \, {\left(2 \, B c^{2} d - 3 \, A c d^{2} + 2 \, B c d^{2} - 2 \, A d^{3} + B d^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(a^{2} c^{4} - 2 \, a^{2} c^{3} d + 2 \, a^{2} c d^{3} - a^{2} d^{4}\right)} \sqrt{c^{2} - d^{2}}} + \frac{3 \, {\left(B c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - A d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + B c^{2} d^{2} - A c d^{3}\right)}}{{\left(a^{2} c^{5} - 2 \, a^{2} c^{4} d + 2 \, a^{2} c^{2} d^{3} - a^{2} c d^{4}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}} + \frac{3 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 9 \, A d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 6 \, B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 15 \, A d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 9 \, B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A c + B c - 8 \, A d + 5 \, B d}{{\left(a^{2} c^{3} - 3 \, a^{2} c^{2} d + 3 \, a^{2} c d^{2} - a^{2} d^{3}\right)} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}}\right)}}{3 \, f}"," ",0,"-2/3*(3*(2*B*c^2*d - 3*A*c*d^2 + 2*B*c*d^2 - 2*A*d^3 + B*d^3)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((a^2*c^4 - 2*a^2*c^3*d + 2*a^2*c*d^3 - a^2*d^4)*sqrt(c^2 - d^2)) + 3*(B*c*d^3*tan(1/2*f*x + 1/2*e) - A*d^4*tan(1/2*f*x + 1/2*e) + B*c^2*d^2 - A*c*d^3)/((a^2*c^5 - 2*a^2*c^4*d + 2*a^2*c^2*d^3 - a^2*c*d^4)*(c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)) + (3*A*c*tan(1/2*f*x + 1/2*e)^2 - 9*A*d*tan(1/2*f*x + 1/2*e)^2 + 6*B*d*tan(1/2*f*x + 1/2*e)^2 + 3*A*c*tan(1/2*f*x + 1/2*e) + 3*B*c*tan(1/2*f*x + 1/2*e) - 15*A*d*tan(1/2*f*x + 1/2*e) + 9*B*d*tan(1/2*f*x + 1/2*e) + 2*A*c + B*c - 8*A*d + 5*B*d)/((a^2*c^3 - 3*a^2*c^2*d + 3*a^2*c*d^2 - a^2*d^3)*(tan(1/2*f*x + 1/2*e) + 1)^3))/f","A",0
278,1,944,0,0.305757," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^2/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(6 \, B c^{3} d - 12 \, A c^{2} d^{2} + 12 \, B c^{2} d^{2} - 16 \, A c d^{3} + 13 \, B c d^{3} - 7 \, A d^{4} + 4 \, B d^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(a^{2} c^{6} - 2 \, a^{2} c^{5} d - a^{2} c^{4} d^{2} + 4 \, a^{2} c^{3} d^{3} - a^{2} c^{2} d^{4} - 2 \, a^{2} c d^{5} + a^{2} d^{6}\right)} \sqrt{c^{2} - d^{2}}} + \frac{3 \, {\left(7 \, B c^{4} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 9 \, A c^{3} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 4 \, B c^{3} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 4 \, A c^{2} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, A c d^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 6 \, B c^{5} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 8 \, A c^{4} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 4 \, B c^{4} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 4 \, A c^{3} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 13 \, B c^{3} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 15 \, A c^{2} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 8 \, B c^{2} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 8 \, A c d^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, B c d^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, A d^{7} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 17 \, B c^{4} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 23 \, A c^{3} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 12 \, B c^{3} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 12 \, A c^{2} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 4 \, B c^{2} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A c d^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 6 \, B c^{5} d^{2} - 8 \, A c^{4} d^{3} + 4 \, B c^{4} d^{3} - 4 \, A c^{3} d^{4} + B c^{3} d^{4} + A c^{2} d^{5}\right)}}{{\left(a^{2} c^{8} - 2 \, a^{2} c^{7} d - a^{2} c^{6} d^{2} + 4 \, a^{2} c^{5} d^{3} - a^{2} c^{4} d^{4} - 2 \, a^{2} c^{3} d^{5} + a^{2} c^{2} d^{6}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}^{2}} + \frac{2 \, {\left(3 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 12 \, A d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 9 \, B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 21 \, A d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A c + B c - 11 \, A d + 8 \, B d\right)}}{{\left(a^{2} c^{4} - 4 \, a^{2} c^{3} d + 6 \, a^{2} c^{2} d^{2} - 4 \, a^{2} c d^{3} + a^{2} d^{4}\right)} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{3}}}{3 \, f}"," ",0,"-1/3*(3*(6*B*c^3*d - 12*A*c^2*d^2 + 12*B*c^2*d^2 - 16*A*c*d^3 + 13*B*c*d^3 - 7*A*d^4 + 4*B*d^4)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((a^2*c^6 - 2*a^2*c^5*d - a^2*c^4*d^2 + 4*a^2*c^3*d^3 - a^2*c^2*d^4 - 2*a^2*c*d^5 + a^2*d^6)*sqrt(c^2 - d^2)) + 3*(7*B*c^4*d^3*tan(1/2*f*x + 1/2*e)^3 - 9*A*c^3*d^4*tan(1/2*f*x + 1/2*e)^3 + 4*B*c^3*d^4*tan(1/2*f*x + 1/2*e)^3 - 4*A*c^2*d^5*tan(1/2*f*x + 1/2*e)^3 + 2*A*c*d^6*tan(1/2*f*x + 1/2*e)^3 + 6*B*c^5*d^2*tan(1/2*f*x + 1/2*e)^2 - 8*A*c^4*d^3*tan(1/2*f*x + 1/2*e)^2 + 4*B*c^4*d^3*tan(1/2*f*x + 1/2*e)^2 - 4*A*c^3*d^4*tan(1/2*f*x + 1/2*e)^2 + 13*B*c^3*d^4*tan(1/2*f*x + 1/2*e)^2 - 15*A*c^2*d^5*tan(1/2*f*x + 1/2*e)^2 + 8*B*c^2*d^5*tan(1/2*f*x + 1/2*e)^2 - 8*A*c*d^6*tan(1/2*f*x + 1/2*e)^2 + 2*B*c*d^6*tan(1/2*f*x + 1/2*e)^2 + 2*A*d^7*tan(1/2*f*x + 1/2*e)^2 + 17*B*c^4*d^3*tan(1/2*f*x + 1/2*e) - 23*A*c^3*d^4*tan(1/2*f*x + 1/2*e) + 12*B*c^3*d^4*tan(1/2*f*x + 1/2*e) - 12*A*c^2*d^5*tan(1/2*f*x + 1/2*e) + 4*B*c^2*d^5*tan(1/2*f*x + 1/2*e) + 2*A*c*d^6*tan(1/2*f*x + 1/2*e) + 6*B*c^5*d^2 - 8*A*c^4*d^3 + 4*B*c^4*d^3 - 4*A*c^3*d^4 + B*c^3*d^4 + A*c^2*d^5)/((a^2*c^8 - 2*a^2*c^7*d - a^2*c^6*d^2 + 4*a^2*c^5*d^3 - a^2*c^4*d^4 - 2*a^2*c^3*d^5 + a^2*c^2*d^6)*(c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)^2) + 2*(3*A*c*tan(1/2*f*x + 1/2*e)^2 - 12*A*d*tan(1/2*f*x + 1/2*e)^2 + 9*B*d*tan(1/2*f*x + 1/2*e)^2 + 3*A*c*tan(1/2*f*x + 1/2*e) + 3*B*c*tan(1/2*f*x + 1/2*e) - 21*A*d*tan(1/2*f*x + 1/2*e) + 15*B*d*tan(1/2*f*x + 1/2*e) + 2*A*c + B*c - 11*A*d + 8*B*d)/((a^2*c^4 - 4*a^2*c^3*d + 6*a^2*c^2*d^2 - 4*a^2*c*d^3 + a^2*d^4)*(tan(1/2*f*x + 1/2*e) + 1)^3))/f","B",0
279,1,596,0,0.221715," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{\frac{30 \, B d^{3}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1\right)} a^{3}} - \frac{15 \, {\left(3 \, B c d^{2} + A d^{3} - 3 \, B d^{3}\right)} {\left(f x + e\right)}}{a^{3}} + \frac{2 \, {\left(15 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 45 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 15 \, A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 45 \, B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 30 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 15 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 45 \, A c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 225 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 75 \, A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 210 \, B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 40 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 45 \, A c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 60 \, B c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 60 \, A c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 435 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 145 \, A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 360 \, B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 20 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 45 \, A c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 30 \, B c^{2} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 30 \, A c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 285 \, B c d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 95 \, A d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 240 \, B d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 7 \, A c^{3} + 3 \, B c^{3} + 9 \, A c^{2} d + 6 \, B c^{2} d + 6 \, A c d^{2} - 66 \, B c d^{2} - 22 \, A d^{3} + 57 \, B d^{3}\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}}{15 \, f}"," ",0,"-1/15*(30*B*d^3/((tan(1/2*f*x + 1/2*e)^2 + 1)*a^3) - 15*(3*B*c*d^2 + A*d^3 - 3*B*d^3)*(f*x + e)/a^3 + 2*(15*A*c^3*tan(1/2*f*x + 1/2*e)^4 - 45*B*c*d^2*tan(1/2*f*x + 1/2*e)^4 - 15*A*d^3*tan(1/2*f*x + 1/2*e)^4 + 45*B*d^3*tan(1/2*f*x + 1/2*e)^4 + 30*A*c^3*tan(1/2*f*x + 1/2*e)^3 + 15*B*c^3*tan(1/2*f*x + 1/2*e)^3 + 45*A*c^2*d*tan(1/2*f*x + 1/2*e)^3 - 225*B*c*d^2*tan(1/2*f*x + 1/2*e)^3 - 75*A*d^3*tan(1/2*f*x + 1/2*e)^3 + 210*B*d^3*tan(1/2*f*x + 1/2*e)^3 + 40*A*c^3*tan(1/2*f*x + 1/2*e)^2 + 15*B*c^3*tan(1/2*f*x + 1/2*e)^2 + 45*A*c^2*d*tan(1/2*f*x + 1/2*e)^2 + 60*B*c^2*d*tan(1/2*f*x + 1/2*e)^2 + 60*A*c*d^2*tan(1/2*f*x + 1/2*e)^2 - 435*B*c*d^2*tan(1/2*f*x + 1/2*e)^2 - 145*A*d^3*tan(1/2*f*x + 1/2*e)^2 + 360*B*d^3*tan(1/2*f*x + 1/2*e)^2 + 20*A*c^3*tan(1/2*f*x + 1/2*e) + 15*B*c^3*tan(1/2*f*x + 1/2*e) + 45*A*c^2*d*tan(1/2*f*x + 1/2*e) + 30*B*c^2*d*tan(1/2*f*x + 1/2*e) + 30*A*c*d^2*tan(1/2*f*x + 1/2*e) - 285*B*c*d^2*tan(1/2*f*x + 1/2*e) - 95*A*d^3*tan(1/2*f*x + 1/2*e) + 240*B*d^3*tan(1/2*f*x + 1/2*e) + 7*A*c^3 + 3*B*c^3 + 9*A*c^2*d + 6*B*c^2*d + 6*A*c*d^2 - 66*B*c*d^2 - 22*A*d^3 + 57*B*d^3)/(a^3*(tan(1/2*f*x + 1/2*e) + 1)^5))/f","B",0
280,1,382,0,0.192791," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(f x + e\right)} B d^{2}}{a^{3}} - \frac{2 \, {\left(15 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 15 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 30 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 30 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 75 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 40 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 30 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 40 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 20 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 145 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 20 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 30 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 20 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 10 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 95 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 7 \, A c^{2} + 3 \, B c^{2} + 6 \, A c d + 4 \, B c d + 2 \, A d^{2} - 22 \, B d^{2}\right)}}{a^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}}{15 \, f}"," ",0,"1/15*(15*(f*x + e)*B*d^2/a^3 - 2*(15*A*c^2*tan(1/2*f*x + 1/2*e)^4 - 15*B*d^2*tan(1/2*f*x + 1/2*e)^4 + 30*A*c^2*tan(1/2*f*x + 1/2*e)^3 + 15*B*c^2*tan(1/2*f*x + 1/2*e)^3 + 30*A*c*d*tan(1/2*f*x + 1/2*e)^3 - 75*B*d^2*tan(1/2*f*x + 1/2*e)^3 + 40*A*c^2*tan(1/2*f*x + 1/2*e)^2 + 15*B*c^2*tan(1/2*f*x + 1/2*e)^2 + 30*A*c*d*tan(1/2*f*x + 1/2*e)^2 + 40*B*c*d*tan(1/2*f*x + 1/2*e)^2 + 20*A*d^2*tan(1/2*f*x + 1/2*e)^2 - 145*B*d^2*tan(1/2*f*x + 1/2*e)^2 + 20*A*c^2*tan(1/2*f*x + 1/2*e) + 15*B*c^2*tan(1/2*f*x + 1/2*e) + 30*A*c*d*tan(1/2*f*x + 1/2*e) + 20*B*c*d*tan(1/2*f*x + 1/2*e) + 10*A*d^2*tan(1/2*f*x + 1/2*e) - 95*B*d^2*tan(1/2*f*x + 1/2*e) + 7*A*c^2 + 3*B*c^2 + 6*A*c*d + 4*B*c*d + 2*A*d^2 - 22*B*d^2)/(a^3*(tan(1/2*f*x + 1/2*e) + 1)^5))/f","B",0
281,1,223,0,0.178170," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 30 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 15 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 15 \, A d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 40 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, A d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 20 \, B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 20 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, A d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 10 \, B d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 7 \, A c + 3 \, B c + 3 \, A d + 2 \, B d\right)}}{15 \, a^{3} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}"," ",0,"-2/15*(15*A*c*tan(1/2*f*x + 1/2*e)^4 + 30*A*c*tan(1/2*f*x + 1/2*e)^3 + 15*B*c*tan(1/2*f*x + 1/2*e)^3 + 15*A*d*tan(1/2*f*x + 1/2*e)^3 + 40*A*c*tan(1/2*f*x + 1/2*e)^2 + 15*B*c*tan(1/2*f*x + 1/2*e)^2 + 15*A*d*tan(1/2*f*x + 1/2*e)^2 + 20*B*d*tan(1/2*f*x + 1/2*e)^2 + 20*A*c*tan(1/2*f*x + 1/2*e) + 15*B*c*tan(1/2*f*x + 1/2*e) + 15*A*d*tan(1/2*f*x + 1/2*e) + 10*B*d*tan(1/2*f*x + 1/2*e) + 7*A*c + 3*B*c + 3*A*d + 2*B*d)/(a^3*f*(tan(1/2*f*x + 1/2*e) + 1)^5)","A",0
282,1,130,0,0.165661," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 30 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 15 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 40 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 20 \, A \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, B \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 7 \, A + 3 \, B\right)}}{15 \, a^{3} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}"," ",0,"-2/15*(15*A*tan(1/2*f*x + 1/2*e)^4 + 30*A*tan(1/2*f*x + 1/2*e)^3 + 15*B*tan(1/2*f*x + 1/2*e)^3 + 40*A*tan(1/2*f*x + 1/2*e)^2 + 15*B*tan(1/2*f*x + 1/2*e)^2 + 20*A*tan(1/2*f*x + 1/2*e) + 15*B*tan(1/2*f*x + 1/2*e) + 7*A + 3*B)/(a^3*f*(tan(1/2*f*x + 1/2*e) + 1)^5)","A",0
283,1,578,0,0.261212," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c+d*sin(f*x+e)),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{15 \, {\left(B c d^{2} - A d^{3}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(a^{3} c^{3} - 3 \, a^{3} c^{2} d + 3 \, a^{3} c d^{2} - a^{3} d^{3}\right)} \sqrt{c^{2} - d^{2}}} - \frac{15 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 45 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 45 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 15 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 30 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 105 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 45 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 135 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 30 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 40 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 135 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 65 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 185 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 40 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 20 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 75 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 55 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 115 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 20 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 7 \, A c^{2} + 3 \, B c^{2} - 24 \, A c d - 11 \, B c d + 32 \, A d^{2} - 7 \, B d^{2}}{{\left(a^{3} c^{3} - 3 \, a^{3} c^{2} d + 3 \, a^{3} c d^{2} - a^{3} d^{3}\right)} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}\right)}}{15 \, f}"," ",0,"2/15*(15*(B*c*d^2 - A*d^3)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((a^3*c^3 - 3*a^3*c^2*d + 3*a^3*c*d^2 - a^3*d^3)*sqrt(c^2 - d^2)) - (15*A*c^2*tan(1/2*f*x + 1/2*e)^4 - 45*A*c*d*tan(1/2*f*x + 1/2*e)^4 + 45*A*d^2*tan(1/2*f*x + 1/2*e)^4 - 15*B*d^2*tan(1/2*f*x + 1/2*e)^4 + 30*A*c^2*tan(1/2*f*x + 1/2*e)^3 + 15*B*c^2*tan(1/2*f*x + 1/2*e)^3 - 105*A*c*d*tan(1/2*f*x + 1/2*e)^3 - 45*B*c*d*tan(1/2*f*x + 1/2*e)^3 + 135*A*d^2*tan(1/2*f*x + 1/2*e)^3 - 30*B*d^2*tan(1/2*f*x + 1/2*e)^3 + 40*A*c^2*tan(1/2*f*x + 1/2*e)^2 + 15*B*c^2*tan(1/2*f*x + 1/2*e)^2 - 135*A*c*d*tan(1/2*f*x + 1/2*e)^2 - 65*B*c*d*tan(1/2*f*x + 1/2*e)^2 + 185*A*d^2*tan(1/2*f*x + 1/2*e)^2 - 40*B*d^2*tan(1/2*f*x + 1/2*e)^2 + 20*A*c^2*tan(1/2*f*x + 1/2*e) + 15*B*c^2*tan(1/2*f*x + 1/2*e) - 75*A*c*d*tan(1/2*f*x + 1/2*e) - 55*B*c*d*tan(1/2*f*x + 1/2*e) + 115*A*d^2*tan(1/2*f*x + 1/2*e) - 20*B*d^2*tan(1/2*f*x + 1/2*e) + 7*A*c^2 + 3*B*c^2 - 24*A*c*d - 11*B*c*d + 32*A*d^2 - 7*B*d^2)/((a^3*c^3 - 3*a^3*c^2*d + 3*a^3*c*d^2 - a^3*d^3)*(tan(1/2*f*x + 1/2*e) + 1)^5))/f","B",0
284,1,772,0,0.302511," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{2 \, {\left(\frac{15 \, {\left(3 \, B c^{2} d^{2} - 4 \, A c d^{3} + 3 \, B c d^{3} - 3 \, A d^{4} + B d^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(a^{3} c^{5} - 3 \, a^{3} c^{4} d + 2 \, a^{3} c^{3} d^{2} + 2 \, a^{3} c^{2} d^{3} - 3 \, a^{3} c d^{4} + a^{3} d^{5}\right)} \sqrt{c^{2} - d^{2}}} + \frac{15 \, {\left(B c d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - A d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + B c^{2} d^{3} - A c d^{4}\right)}}{{\left(a^{3} c^{6} - 3 \, a^{3} c^{5} d + 2 \, a^{3} c^{4} d^{2} + 2 \, a^{3} c^{3} d^{3} - 3 \, a^{3} c^{2} d^{4} + a^{3} c d^{5}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}} - \frac{15 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 60 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 90 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 45 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 30 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 150 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 60 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 300 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 135 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 40 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 190 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 100 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 420 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 185 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 20 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 110 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 80 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 270 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 115 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 7 \, A c^{2} + 3 \, B c^{2} - 34 \, A c d - 16 \, B c d + 72 \, A d^{2} - 32 \, B d^{2}}{{\left(a^{3} c^{4} - 4 \, a^{3} c^{3} d + 6 \, a^{3} c^{2} d^{2} - 4 \, a^{3} c d^{3} + a^{3} d^{4}\right)} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}\right)}}{15 \, f}"," ",0,"2/15*(15*(3*B*c^2*d^2 - 4*A*c*d^3 + 3*B*c*d^3 - 3*A*d^4 + B*d^4)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((a^3*c^5 - 3*a^3*c^4*d + 2*a^3*c^3*d^2 + 2*a^3*c^2*d^3 - 3*a^3*c*d^4 + a^3*d^5)*sqrt(c^2 - d^2)) + 15*(B*c*d^4*tan(1/2*f*x + 1/2*e) - A*d^5*tan(1/2*f*x + 1/2*e) + B*c^2*d^3 - A*c*d^4)/((a^3*c^6 - 3*a^3*c^5*d + 2*a^3*c^4*d^2 + 2*a^3*c^3*d^3 - 3*a^3*c^2*d^4 + a^3*c*d^5)*(c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)) - (15*A*c^2*tan(1/2*f*x + 1/2*e)^4 - 60*A*c*d*tan(1/2*f*x + 1/2*e)^4 + 90*A*d^2*tan(1/2*f*x + 1/2*e)^4 - 45*B*d^2*tan(1/2*f*x + 1/2*e)^4 + 30*A*c^2*tan(1/2*f*x + 1/2*e)^3 + 15*B*c^2*tan(1/2*f*x + 1/2*e)^3 - 150*A*c*d*tan(1/2*f*x + 1/2*e)^3 - 60*B*c*d*tan(1/2*f*x + 1/2*e)^3 + 300*A*d^2*tan(1/2*f*x + 1/2*e)^3 - 135*B*d^2*tan(1/2*f*x + 1/2*e)^3 + 40*A*c^2*tan(1/2*f*x + 1/2*e)^2 + 15*B*c^2*tan(1/2*f*x + 1/2*e)^2 - 190*A*c*d*tan(1/2*f*x + 1/2*e)^2 - 100*B*c*d*tan(1/2*f*x + 1/2*e)^2 + 420*A*d^2*tan(1/2*f*x + 1/2*e)^2 - 185*B*d^2*tan(1/2*f*x + 1/2*e)^2 + 20*A*c^2*tan(1/2*f*x + 1/2*e) + 15*B*c^2*tan(1/2*f*x + 1/2*e) - 110*A*c*d*tan(1/2*f*x + 1/2*e) - 80*B*c*d*tan(1/2*f*x + 1/2*e) + 270*A*d^2*tan(1/2*f*x + 1/2*e) - 115*B*d^2*tan(1/2*f*x + 1/2*e) + 7*A*c^2 + 3*B*c^2 - 34*A*c*d - 16*B*c*d + 72*A*d^2 - 32*B*d^2)/((a^3*c^4 - 4*a^3*c^3*d + 6*a^3*c^2*d^2 - 4*a^3*c*d^3 + a^3*d^4)*(tan(1/2*f*x + 1/2*e) + 1)^5))/f","B",0
285,1,1272,0,0.593385," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^3/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(12 \, B c^{3} d^{2} - 20 \, A c^{2} d^{3} + 24 \, B c^{2} d^{3} - 30 \, A c d^{4} + 21 \, B c d^{4} - 13 \, A d^{5} + 6 \, B d^{5}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(a^{3} c^{7} - 3 \, a^{3} c^{6} d + a^{3} c^{5} d^{2} + 5 \, a^{3} c^{4} d^{3} - 5 \, a^{3} c^{3} d^{4} - a^{3} c^{2} d^{5} + 3 \, a^{3} c d^{6} - a^{3} d^{7}\right)} \sqrt{c^{2} - d^{2}}} + \frac{15 \, {\left(9 \, B c^{4} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 11 \, A c^{3} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 6 \, B c^{3} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 6 \, A c^{2} d^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, A c d^{7} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 8 \, B c^{5} d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 10 \, A c^{4} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 6 \, B c^{4} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 6 \, A c^{3} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 17 \, B c^{3} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 19 \, A c^{2} d^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 12 \, B c^{2} d^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 12 \, A c d^{7} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, B c d^{7} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, A d^{8} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 23 \, B c^{4} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 29 \, A c^{3} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 18 \, B c^{3} d^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 18 \, A c^{2} d^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 4 \, B c^{2} d^{6} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A c d^{7} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 8 \, B c^{5} d^{3} - 10 \, A c^{4} d^{4} + 6 \, B c^{4} d^{4} - 6 \, A c^{3} d^{5} + B c^{3} d^{5} + A c^{2} d^{6}\right)}}{{\left(a^{3} c^{9} - 3 \, a^{3} c^{8} d + a^{3} c^{7} d^{2} + 5 \, a^{3} c^{6} d^{3} - 5 \, a^{3} c^{5} d^{4} - a^{3} c^{4} d^{5} + 3 \, a^{3} c^{3} d^{6} - a^{3} c^{2} d^{7}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}^{2}} - \frac{2 \, {\left(15 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 75 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 150 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 90 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 30 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 195 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 75 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 525 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 300 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 40 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 245 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 135 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 745 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 420 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 20 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 15 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 145 \, A c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 105 \, B c d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 485 \, A d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 270 \, B d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 7 \, A c^{2} + 3 \, B c^{2} - 44 \, A c d - 21 \, B c d + 127 \, A d^{2} - 72 \, B d^{2}\right)}}{{\left(a^{3} c^{5} - 5 \, a^{3} c^{4} d + 10 \, a^{3} c^{3} d^{2} - 10 \, a^{3} c^{2} d^{3} + 5 \, a^{3} c d^{4} - a^{3} d^{5}\right)} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}^{5}}}{15 \, f}"," ",0,"1/15*(15*(12*B*c^3*d^2 - 20*A*c^2*d^3 + 24*B*c^2*d^3 - 30*A*c*d^4 + 21*B*c*d^4 - 13*A*d^5 + 6*B*d^5)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((a^3*c^7 - 3*a^3*c^6*d + a^3*c^5*d^2 + 5*a^3*c^4*d^3 - 5*a^3*c^3*d^4 - a^3*c^2*d^5 + 3*a^3*c*d^6 - a^3*d^7)*sqrt(c^2 - d^2)) + 15*(9*B*c^4*d^4*tan(1/2*f*x + 1/2*e)^3 - 11*A*c^3*d^5*tan(1/2*f*x + 1/2*e)^3 + 6*B*c^3*d^5*tan(1/2*f*x + 1/2*e)^3 - 6*A*c^2*d^6*tan(1/2*f*x + 1/2*e)^3 + 2*A*c*d^7*tan(1/2*f*x + 1/2*e)^3 + 8*B*c^5*d^3*tan(1/2*f*x + 1/2*e)^2 - 10*A*c^4*d^4*tan(1/2*f*x + 1/2*e)^2 + 6*B*c^4*d^4*tan(1/2*f*x + 1/2*e)^2 - 6*A*c^3*d^5*tan(1/2*f*x + 1/2*e)^2 + 17*B*c^3*d^5*tan(1/2*f*x + 1/2*e)^2 - 19*A*c^2*d^6*tan(1/2*f*x + 1/2*e)^2 + 12*B*c^2*d^6*tan(1/2*f*x + 1/2*e)^2 - 12*A*c*d^7*tan(1/2*f*x + 1/2*e)^2 + 2*B*c*d^7*tan(1/2*f*x + 1/2*e)^2 + 2*A*d^8*tan(1/2*f*x + 1/2*e)^2 + 23*B*c^4*d^4*tan(1/2*f*x + 1/2*e) - 29*A*c^3*d^5*tan(1/2*f*x + 1/2*e) + 18*B*c^3*d^5*tan(1/2*f*x + 1/2*e) - 18*A*c^2*d^6*tan(1/2*f*x + 1/2*e) + 4*B*c^2*d^6*tan(1/2*f*x + 1/2*e) + 2*A*c*d^7*tan(1/2*f*x + 1/2*e) + 8*B*c^5*d^3 - 10*A*c^4*d^4 + 6*B*c^4*d^4 - 6*A*c^3*d^5 + B*c^3*d^5 + A*c^2*d^6)/((a^3*c^9 - 3*a^3*c^8*d + a^3*c^7*d^2 + 5*a^3*c^6*d^3 - 5*a^3*c^5*d^4 - a^3*c^4*d^5 + 3*a^3*c^3*d^6 - a^3*c^2*d^7)*(c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)^2) - 2*(15*A*c^2*tan(1/2*f*x + 1/2*e)^4 - 75*A*c*d*tan(1/2*f*x + 1/2*e)^4 + 150*A*d^2*tan(1/2*f*x + 1/2*e)^4 - 90*B*d^2*tan(1/2*f*x + 1/2*e)^4 + 30*A*c^2*tan(1/2*f*x + 1/2*e)^3 + 15*B*c^2*tan(1/2*f*x + 1/2*e)^3 - 195*A*c*d*tan(1/2*f*x + 1/2*e)^3 - 75*B*c*d*tan(1/2*f*x + 1/2*e)^3 + 525*A*d^2*tan(1/2*f*x + 1/2*e)^3 - 300*B*d^2*tan(1/2*f*x + 1/2*e)^3 + 40*A*c^2*tan(1/2*f*x + 1/2*e)^2 + 15*B*c^2*tan(1/2*f*x + 1/2*e)^2 - 245*A*c*d*tan(1/2*f*x + 1/2*e)^2 - 135*B*c*d*tan(1/2*f*x + 1/2*e)^2 + 745*A*d^2*tan(1/2*f*x + 1/2*e)^2 - 420*B*d^2*tan(1/2*f*x + 1/2*e)^2 + 20*A*c^2*tan(1/2*f*x + 1/2*e) + 15*B*c^2*tan(1/2*f*x + 1/2*e) - 145*A*c*d*tan(1/2*f*x + 1/2*e) - 105*B*c*d*tan(1/2*f*x + 1/2*e) + 485*A*d^2*tan(1/2*f*x + 1/2*e) - 270*B*d^2*tan(1/2*f*x + 1/2*e) + 7*A*c^2 + 3*B*c^2 - 44*A*c*d - 21*B*c*d + 127*A*d^2 - 72*B*d^2)/((a^3*c^5 - 5*a^3*c^4*d + 10*a^3*c^3*d^2 - 10*a^3*c^2*d^3 + 5*a^3*c*d^4 - a^3*d^5)*(tan(1/2*f*x + 1/2*e) + 1)^5))/f","B",0
286,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3*(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(-40*f*(-2*A*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*B*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(10*f*x+10*exp(1)+pi))/(40*f)^2-56*f*(-2*A*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*B*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(14*f*x+14*exp(1)-pi))/(56*f)^2+12*f*(-2*B*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*A*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*B*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2+20*f*(-2*B*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*A*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*B*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2-8*f*(6*A*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+8*B*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*A*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+18*B*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(8*f)^2-24*f*(6*A*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+8*B*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*A*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+18*B*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(24*f)^2+8*f*(16*A*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*A*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*B*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(8*f)^2+224*B*d^3*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(14*f*x+14*exp(1)+pi))/(112*f)^2+288*B*d^3*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(18*f*x+18*exp(1)-pi))/(144*f)^2)","F(-2)",0
287,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2*(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(12*f*(-2*A*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2+20*f*(-2*A*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2+2*f*(4*A*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*A*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+4*B*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(2*f)^2-8*f*(8*B*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*A*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(8*f)^2-24*f*(8*B*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*A*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(24*f)^2+80*B*d^2*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(10*f*x+10*exp(1)+pi))/(40*f)^2+112*B*d^2*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(14*f*x+14*exp(1)-pi))/(56*f)^2)","F(-2)",0
288,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))*(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(-2*f*(2*A*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(2*f)^2-6*f*(2*A*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(6*f)^2+2*f*(4*A*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(2*f)^2-24*B*d*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2-40*B*d*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2)","F(-2)",0
289,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(2*A*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/f-4*B*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(2*f*x+2*exp(1)+pi))/(2*f)^2-12*B*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(6*f*x+6*exp(1)-pi))/(6*f)^2)","F(-2)",0
290,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(a+a*sin(f*x+e))^(1/2)/(c+d*sin(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
291,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(a+a*sin(f*x+e))^(1/2)/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
292,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(a+a*sin(f*x+e))^(1/2)/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
293,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(112*f*(2*A*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(14*f*x+14*exp(1)+pi))/(112*f)^2+144*f*(2*A*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(18*f*x+18*exp(1)-pi))/(144*f)^2-160*f*(-8*A*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-10*B*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-24*A*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-24*B*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-24*B*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(10*f*x+10*exp(1)+pi))/(160*f)^2-224*f*(-8*A*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-10*B*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-24*A*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-24*B*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-24*B*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(14*f*x+14*exp(1)-pi))/(224*f)^2+12*f*(-2*A*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*A*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*A*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*B*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*B*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2+20*f*(-2*A*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*A*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*A*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*B*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-6*B*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2+8*f*(16*A*a*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*A*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+8*B*a*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*A*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*A*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+18*B*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*B*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(8*f)^2-16*f*(16*A*a*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*A*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*B*a*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+10*B*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+36*A*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+48*A*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+36*B*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+36*B*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(16*f)^2-48*f*(16*A*a*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*A*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*B*a*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+10*B*a*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+36*A*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+48*A*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+36*B*a*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+36*B*a*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(48*f)^2-576*B*a*d^3*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(18*f*x+18*exp(1)+pi))/(288*f)^2-704*B*a*d^3*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(22*f*x+22*exp(1)-pi))/(352*f)^2)","F(-2)",0
294,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(-40*f*(-2*A*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(10*f*x+10*exp(1)+pi))/(40*f)^2-56*f*(-2*A*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(14*f*x+14*exp(1)-pi))/(56*f)^2+12*f*(-2*A*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*A*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2+20*f*(-2*A*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*A*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2-8*f*(8*A*a*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*A*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+8*B*a*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*A*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*B*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(8*f)^2-24*f*(8*A*a*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*A*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+8*B*a*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*A*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*B*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(24*f)^2+8*f*(16*A*a*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+8*A*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+8*B*a*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*a*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*A*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*B*a*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(8*f)^2+224*B*a*d^2*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(14*f*x+14*exp(1)+pi))/(112*f)^2+288*B*a*d^2*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(18*f*x+18*exp(1)-pi))/(144*f)^2)","F(-2)",0
295,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))*(c+d*sin(f*x+e)),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(12*f*(-2*A*a*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2+20*f*(-2*A*a*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2+2*f*(4*A*a*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*A*a*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(2*f)^2-8*f*(8*A*a*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+8*A*a*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+8*B*a*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*a*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(8*f)^2-24*f*(8*A*a*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+8*A*a*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+8*B*a*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*a*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(24*f)^2+80*B*a*d*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(10*f*x+10*exp(1)+pi))/(40*f)^2+112*B*a*d*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(14*f*x+14*exp(1)-pi))/(56*f)^2)","F(-2)",0
296,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(-2*f*(2*A*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(2*f)^2-6*f*(2*A*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(6*f)^2+2*f*(4*A*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+2*B*a*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(2*f)^2-24*B*a*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2-40*B*a*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2)","F(-2)",0
297,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))/(c+d*sin(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
298,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
299,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
300,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(-288*f*(2*A*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+4*B*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(18*f*x+18*exp(1)+pi))/(288*f)^2-352*f*(2*A*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+4*B*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+6*B*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(22*f*x+22*exp(1)-pi))/(352*f)^2+224*f*(8*A*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+10*B*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*A*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*B*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*B*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(14*f*x+14*exp(1)+pi))/(224*f)^2+288*f*(8*A*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+10*B*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*A*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*B*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*B*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(18*f*x+18*exp(1)-pi))/(288*f)^2-160*f*(-18*A*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-8*B*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-20*B*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-48*A*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-24*A*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-54*B*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-48*B*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(10*f*x+10*exp(1)+pi))/(160*f)^2-224*f*(-18*A*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-8*B*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-20*B*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-48*A*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-24*A*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-54*B*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-48*B*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(14*f*x+14*exp(1)-pi))/(224*f)^2-16*f*(32*A*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+22*A*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+28*B*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+20*B*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+72*A*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+84*A*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+66*B*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+72*B*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(16*f)^2-48*f*(32*A*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+22*A*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+28*B*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+20*B*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+72*A*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+84*A*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+66*B*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+72*B*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(48*f)^2+16*f*(48*A*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*A*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+32*B*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+22*B*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+84*A*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+96*A*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+72*B*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+84*B*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(16*f)^2+192*f*(-32*A*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-64*A*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-64*B*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-62*B*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-192*A*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-192*A*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-192*B*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-192*B*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)+pi))/(192*f)^2+320*f*(-32*A*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-64*A*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-64*B*a^2*c^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-62*B*a^2*d^3*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-192*A*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-192*A*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-192*B*a^2*c*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-192*B*a^2*c^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)-pi))/(320*f)^2-1408*B*a^2*d^3*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(22*f*x+22*exp(1)+pi))/(704*f)^2-1664*B*a^2*d^3*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(26*f*x+26*exp(1)-pi))/(832*f)^2)","F(-2)",0
301,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(112*f*(2*A*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+4*B*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+4*B*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(14*f*x+14*exp(1)+pi))/(112*f)^2+144*f*(2*A*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+4*B*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+4*B*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(18*f*x+18*exp(1)-pi))/(144*f)^2-160*f*(-16*A*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-8*B*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-18*B*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-16*A*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-32*B*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(10*f*x+10*exp(1)+pi))/(160*f)^2-224*f*(-16*A*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-8*B*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-18*B*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-16*A*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-32*B*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(14*f*x+14*exp(1)-pi))/(224*f)^2+8*f*(24*A*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+14*A*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*B*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*B*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+32*A*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+28*B*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(8*f)^2-16*f*(32*A*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*A*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+28*B*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+22*B*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+56*A*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+48*B*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(16*f)^2-48*f*(32*A*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+24*A*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+28*B*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+22*B*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+56*A*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+48*B*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(48*f)^2+12*f*(-2*A*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*A*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-8*A*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-8*B*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2+20*f*(-2*A*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*A*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*c^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*d^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-8*A*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-8*B*a^2*c*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2-576*B*a^2*d^2*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(18*f*x+18*exp(1)+pi))/(288*f)^2-704*B*a^2*d^2*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(22*f*x+22*exp(1)-pi))/(352*f)^2)","F(-2)",0
302,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))*(c+d*sin(f*x+e)),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(-40*f*(-2*A*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(10*f*x+10*exp(1)+pi))/(40*f)^2-56*f*(-2*A*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-2*B*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(14*f*x+14*exp(1)-pi))/(56*f)^2-8*f*(16*A*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+14*A*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+14*B*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*B*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(8*f)^2-24*f*(16*A*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+14*A*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+14*B*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+12*B*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(24*f)^2+8*f*(24*A*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*A*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+16*B*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+14*B*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(8*f)^2+12*f*(-2*A*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*A*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2+20*f*(-2*A*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*A*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*c*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*d*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2+224*B*a^2*d*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(14*f*x+14*exp(1)+pi))/(112*f)^2+288*B*a^2*d*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*sin(1/4*(18*f*x+18*exp(1)-pi))/(144*f)^2)","F(-2)",0
303,-2,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)sqrt(2*a)*(2*f*(6*A*a^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+4*B*a^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(2*f*x-pi)+1/2*exp(1))/(2*f)^2-8*f*(16*A*a^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+14*B*a^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(2*f*x+2*exp(1)+pi))/(8*f)^2-24*f*(16*A*a^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))+14*B*a^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*cos(1/4*(6*f*x+6*exp(1)-pi))/(24*f)^2+12*f*(-2*A*a^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(6*f*x+6*exp(1)+pi))/(12*f)^2+20*f*(-2*A*a^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi))-4*B*a^2*sign(cos(1/2*(f*x+exp(1))-1/4*pi)))*sin(1/4*(10*f*x+10*exp(1)-pi))/(20*f)^2+80*B*a^2*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(10*f*x+10*exp(1)+pi))/(40*f)^2+112*B*a^2*f*sign(cos(1/2*(f*x+exp(1))-1/4*pi))*cos(1/4*(14*f*x+14*exp(1)-pi))/(56*f)^2)","F(-2)",0
304,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))/(c+d*sin(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
305,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
306,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
307,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(a*tan((f*x+exp(1))/2)^2+a)/(a*tan((f*x+exp(1))/2)^2+a)^3*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(-1/2822400*tan((f*x+exp(1))/2)*(-1223040*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-1411200*B*a^3*c^3*sign(tan((f*x+exp(1))/2)+1)+577920*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+1411200*A*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)-4233600*A*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)-3669120*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)+1411200*B*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1))-1/2822400*(1411200*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+1411200*B*a^3*c^3*sign(tan((f*x+exp(1))/2)+1)-1411200*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-4233600*A*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)+4233600*A*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)+4233600*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)-4233600*B*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)))-1/2822400*(-4986240*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-4233600*B*a^3*c^3*sign(tan((f*x+exp(1))/2)+1)+2728320*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+7056000*A*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)-12700800*A*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)-14958720*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)+7056000*B*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)))-1/2822400*(5174400*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+4233600*B*a^3*c^3*sign(tan((f*x+exp(1))/2)+1)-5174400*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-9878400*A*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)+12700800*A*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)+15523200*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)-9878400*B*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)))-1/2822400*(-5174400*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-4233600*B*a^3*c^3*sign(tan((f*x+exp(1))/2)+1)+5174400*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+9878400*A*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)-12700800*A*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)-15523200*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)+9878400*B*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)))-1/2822400*(4986240*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+4233600*B*a^3*c^3*sign(tan((f*x+exp(1))/2)+1)-2728320*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-7056000*A*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)+12700800*A*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)+14958720*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)-7056000*B*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)))-1/2822400*(-1411200*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-1411200*B*a^3*c^3*sign(tan((f*x+exp(1))/2)+1)+1411200*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+4233600*A*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)-4233600*A*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)-4233600*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)+4233600*B*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)))-1/2822400*(1223040*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+1411200*B*a^3*c^3*sign(tan((f*x+exp(1))/2)+1)-577920*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-1411200*A*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)+4233600*A*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)+3669120*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1)-1411200*B*a^3*c^2*d*sign(tan((f*x+exp(1))/2)+1)))+sqrt(2)*(A*c^3-A*d^3-B*c^3+B*d^3+3*A*c*d^2-3*A*c^2*d-3*B*c*d^2+3*B*c^2*d)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(-a)/sign(tan((f*x+exp(1))/2)+1)+(-105*A*a*c^3*sqrt(2)*atan(sqrt(a)/sqrt(-a))+315*A*a*c^2*d*sqrt(2)*atan(sqrt(a)/sqrt(-a))-315*A*a*c*d^2*sqrt(2)*atan(sqrt(a)/sqrt(-a))+105*A*a*d^3*sqrt(2)*atan(sqrt(a)/sqrt(-a))+315*A*c^2*d*sqrt(-a)*sqrt(2)*sqrt(a)-210*A*c*d^2*sqrt(-a)*sqrt(2)*sqrt(a)+119*A*d^3*sqrt(-a)*sqrt(2)*sqrt(a)+105*B*a*c^3*sqrt(2)*atan(sqrt(a)/sqrt(-a))-315*B*a*c^2*d*sqrt(2)*atan(sqrt(a)/sqrt(-a))+315*B*a*c*d^2*sqrt(2)*atan(sqrt(a)/sqrt(-a))-105*B*a*d^3*sqrt(2)*atan(sqrt(a)/sqrt(-a))+105*B*c^3*sqrt(-a)*sqrt(2)*sqrt(a)-210*B*c^2*d*sqrt(-a)*sqrt(2)*sqrt(a)+357*B*c*d^2*sqrt(-a)*sqrt(2)*sqrt(a)-92*B*d^3*sqrt(-a)*sqrt(2)*sqrt(a))/105/a/sqrt(-a)*sign(tan((f*x+exp(1))/2)+1))","F(-2)",0
308,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(a*tan((f*x+exp(1))/2)^2+a)/(a*tan((f*x+exp(1))/2)^2+a)^2*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(1/3600*tan((f*x+exp(1))/2)*(-600*A*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)+1800*B*a^2*c^2*sign(tan((f*x+exp(1))/2)+1)+1560*B*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)+3600*A*a^2*c*d*sign(tan((f*x+exp(1))/2)+1)-1200*B*a^2*c*d*sign(tan((f*x+exp(1))/2)+1))+1/3600*(1800*A*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)-1800*B*a^2*c^2*sign(tan((f*x+exp(1))/2)+1)-1800*B*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)-3600*A*a^2*c*d*sign(tan((f*x+exp(1))/2)+1)+3600*B*a^2*c*d*sign(tan((f*x+exp(1))/2)+1)))+1/3600*(-2400*A*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)+3600*B*a^2*c^2*sign(tan((f*x+exp(1))/2)+1)+4800*B*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)+7200*A*a^2*c*d*sign(tan((f*x+exp(1))/2)+1)-4800*B*a^2*c*d*sign(tan((f*x+exp(1))/2)+1)))+1/3600*(2400*A*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)-3600*B*a^2*c^2*sign(tan((f*x+exp(1))/2)+1)-4800*B*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)-7200*A*a^2*c*d*sign(tan((f*x+exp(1))/2)+1)+4800*B*a^2*c*d*sign(tan((f*x+exp(1))/2)+1)))+1/3600*(-1800*A*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)+1800*B*a^2*c^2*sign(tan((f*x+exp(1))/2)+1)+1800*B*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)+3600*A*a^2*c*d*sign(tan((f*x+exp(1))/2)+1)-3600*B*a^2*c*d*sign(tan((f*x+exp(1))/2)+1)))+1/3600*(600*A*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)-1800*B*a^2*c^2*sign(tan((f*x+exp(1))/2)+1)-1560*B*a^2*d^2*sign(tan((f*x+exp(1))/2)+1)-3600*A*a^2*c*d*sign(tan((f*x+exp(1))/2)+1)+1200*B*a^2*c*d*sign(tan((f*x+exp(1))/2)+1)))+sqrt(2)*(A*c^2+A*d^2-B*c^2-B*d^2-2*A*c*d+2*B*c*d)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(-a)/sign(tan((f*x+exp(1))/2)+1)+(-15*A*a*c^2*sqrt(2)*atan(sqrt(a)/sqrt(-a))+30*A*a*c*d*sqrt(2)*atan(sqrt(a)/sqrt(-a))-15*A*a*d^2*sqrt(2)*atan(sqrt(a)/sqrt(-a))+30*A*c*d*sqrt(-a)*sqrt(2)*sqrt(a)-10*A*d^2*sqrt(-a)*sqrt(2)*sqrt(a)+15*B*a*c^2*sqrt(2)*atan(sqrt(a)/sqrt(-a))-30*B*a*c*d*sqrt(2)*atan(sqrt(a)/sqrt(-a))+15*B*a*d^2*sqrt(2)*atan(sqrt(a)/sqrt(-a))+15*B*c^2*sqrt(-a)*sqrt(2)*sqrt(a)-20*B*c*d*sqrt(-a)*sqrt(2)*sqrt(a)+17*B*d^2*sqrt(-a)*sqrt(2)*sqrt(a))/15/a/sqrt(-a)*sign(tan((f*x+exp(1))/2)+1))","F(-2)",0
309,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(a*tan((f*x+exp(1))/2)^2+a)/(a*tan((f*x+exp(1))/2)^2+a)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(-1/144*tan((f*x+exp(1))/2)*(-72*A*a*d*sign(tan((f*x+exp(1))/2)+1)-72*B*a*c*sign(tan((f*x+exp(1))/2)+1)+24*B*a*d*sign(tan((f*x+exp(1))/2)+1))-1/144*(72*A*a*d*sign(tan((f*x+exp(1))/2)+1)+72*B*a*c*sign(tan((f*x+exp(1))/2)+1)-72*B*a*d*sign(tan((f*x+exp(1))/2)+1)))-1/144*(-72*A*a*d*sign(tan((f*x+exp(1))/2)+1)-72*B*a*c*sign(tan((f*x+exp(1))/2)+1)+72*B*a*d*sign(tan((f*x+exp(1))/2)+1)))-1/144*(72*A*a*d*sign(tan((f*x+exp(1))/2)+1)+72*B*a*c*sign(tan((f*x+exp(1))/2)+1)-24*B*a*d*sign(tan((f*x+exp(1))/2)+1)))+sqrt(2)*(A*c-A*d-B*c+B*d)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(-a)/sign(tan((f*x+exp(1))/2)+1)+(-3*A*a*c*sqrt(2)*atan(sqrt(a)/sqrt(-a))+3*A*a*d*sqrt(2)*atan(sqrt(a)/sqrt(-a))+3*A*d*sqrt(-a)*sqrt(2)*sqrt(a)+3*B*a*c*sqrt(2)*atan(sqrt(a)/sqrt(-a))-3*B*a*d*sqrt(2)*atan(sqrt(a)/sqrt(-a))+3*B*c*sqrt(-a)*sqrt(2)*sqrt(a)-2*B*d*sqrt(-a)*sqrt(2)*sqrt(a))/3/a/sqrt(-a)*sign(tan((f*x+exp(1))/2)+1))","F(-2)",0
310,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*sqrt(a*tan((f*x+exp(1))/2)^2+a)*(-1/2*B/sign(tan((f*x+exp(1))/2)+1)+1/2*B*tan((f*x+exp(1))/2)/sign(tan((f*x+exp(1))/2)+1))/(a*tan((f*x+exp(1))/2)^2+a)+sqrt(2)*(A-B)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(-a)/sign(tan((f*x+exp(1))/2)+1)+(-A*a*sqrt(2)*atan(sqrt(a)/sqrt(-a))+B*a*sqrt(2)*atan(sqrt(a)/sqrt(-a))+B*sqrt(-a)*sqrt(2)*sqrt(a))/a/sqrt(-a)*sign(tan((f*x+exp(1))/2)+1))","F(-2)",0
311,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(c+d*sin(f*x+e))/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Discontinuities at zeroes of cos((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep+1)]Evaluation time: 0.42Error: Bad Argument Type","F(-2)",0
312,-1,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(c+d*sin(f*x+e))^2/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
313,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(c+d*sin(f*x+e))^3/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Discontinuities at zeroes of cos((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep+1)]Evaluation time: 1.28Unable to divide, perhaps due to rounding error%%%{1,[12,10,0,1]%%%}+%%%{-3,[12,9,1,1]%%%}+%%%{3,[12,8,2,1]%%%}+%%%{-1,[12,7,3,1]%%%}+%%%{%%{[-12,0]:[1,0,%%%{-1,[1]%%%}]%%},[11,9,1,1]%%%}+%%%{%%{[36,0]:[1,0,%%%{-1,[1]%%%}]%%},[11,8,2,1]%%%}+%%%{%%{[-36,0]:[1,0,%%%{-1,[1]%%%}]%%},[11,7,3,1]%%%}+%%%{%%{[12,0]:[1,0,%%%{-1,[1]%%%}]%%},[11,6,4,1]%%%}+%%%{%%%{6,[1]%%%},[10,10,0,1]%%%}+%%%{%%%{-18,[1]%%%},[10,9,1,1]%%%}+%%%{%%%{66,[1]%%%},[10,8,2,1]%%%}+%%%{%%%{-150,[1]%%%},[10,7,3,1]%%%}+%%%{%%%{144,[1]%%%},[10,6,4,1]%%%}+%%%{%%%{-48,[1]%%%},[10,5,5,1]%%%}+%%%{%%{[%%%{-36,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,9,1,1]%%%}+%%%{%%{[%%%{108,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,8,2,1]%%%}+%%%{%%{[%%%{-172,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,7,3,1]%%%}+%%%{%%{[%%%{228,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,6,4,1]%%%}+%%%{%%{[%%%{-192,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,5,5,1]%%%}+%%%{%%{[%%%{64,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,4,6,1]%%%}+%%%{%%%{15,[2]%%%},[8,10,0,1]%%%}+%%%{%%%{-45,[2]%%%},[8,9,1,1]%%%}+%%%{%%%{45,[2]%%%},[8,8,2,1]%%%}+%%%{%%%{-15,[2]%%%},[8,7,3,1]%%%}+%%%{%%{[%%%{-24,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,9,1,1]%%%}+%%%{%%{[%%%{72,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,8,2,1]%%%}+%%%{%%{[%%%{120,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,7,3,1]%%%}+%%%{%%{[%%%{-552,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,6,4,1]%%%}+%%%{%%{[%%%{576,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,5,5,1]%%%}+%%%{%%{[%%%{-192,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,4,6,1]%%%}+%%%{%%%{20,[3]%%%},[6,10,0,1]%%%}+%%%{%%%{-60,[3]%%%},[6,9,1,1]%%%}+%%%{%%%{-36,[3]%%%},[6,8,2,1]%%%}+%%%{%%%{268,[3]%%%},[6,7,3,1]%%%}+%%%{%%%{-288,[3]%%%},[6,6,4,1]%%%}+%%%{%%%{96,[3]%%%},[6,5,5,1]%%%}+%%%{%%{[%%%{24,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,9,1,1]%%%}+%%%{%%{[%%%{-72,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,8,2,1]%%%}+%%%{%%{[%%%{-120,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,7,3,1]%%%}+%%%{%%{[%%%{552,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,6,4,1]%%%}+%%%{%%{[%%%{-576,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,5,5,1]%%%}+%%%{%%{[%%%{192,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,4,6,1]%%%}+%%%{%%%{15,[4]%%%},[4,10,0,1]%%%}+%%%{%%%{-45,[4]%%%},[4,9,1,1]%%%}+%%%{%%%{45,[4]%%%},[4,8,2,1]%%%}+%%%{%%%{-15,[4]%%%},[4,7,3,1]%%%}+%%%{%%{[%%%{36,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,9,1,1]%%%}+%%%{%%{[%%%{-108,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,8,2,1]%%%}+%%%{%%{[%%%{172,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,7,3,1]%%%}+%%%{%%{[%%%{-228,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,6,4,1]%%%}+%%%{%%{[%%%{192,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,5,5,1]%%%}+%%%{%%{[%%%{-64,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,4,6,1]%%%}+%%%{%%%{6,[5]%%%},[2,10,0,1]%%%}+%%%{%%%{-18,[5]%%%},[2,9,1,1]%%%}+%%%{%%%{66,[5]%%%},[2,8,2,1]%%%}+%%%{%%%{-150,[5]%%%},[2,7,3,1]%%%}+%%%{%%%{144,[5]%%%},[2,6,4,1]%%%}+%%%{%%%{-48,[5]%%%},[2,5,5,1]%%%}+%%%{%%{[%%%{12,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,9,1,1]%%%}+%%%{%%{[%%%{-36,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,8,2,1]%%%}+%%%{%%{[%%%{36,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,7,3,1]%%%}+%%%{%%{[%%%{-12,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,6,4,1]%%%}+%%%{%%%{1,[6]%%%},[0,10,0,1]%%%}+%%%{%%%{-3,[6]%%%},[0,9,1,1]%%%}+%%%{%%%{3,[6]%%%},[0,8,2,1]%%%}+%%%{%%%{-1,[6]%%%},[0,7,3,1]%%%} / %%%{%%%{-1,[3]%%%},[12,3,0,0]%%%}+%%%{%%{poly1[%%%{12,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[11,2,1,0]%%%}+%%%{%%%{-6,[4]%%%},[10,3,0,0]%%%}+%%%{%%%{-48,[4]%%%},[10,1,2,0]%%%}+%%%{%%{poly1[%%%{36,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,2,1,0]%%%}+%%%{%%{poly1[%%%{64,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[9,0,3,0]%%%}+%%%{%%%{-15,[5]%%%},[8,3,0,0]%%%}+%%%{%%{poly1[%%%{24,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,2,1,0]%%%}+%%%{%%{poly1[%%%{-192,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,0,3,0]%%%}+%%%{%%%{-20,[6]%%%},[6,3,0,0]%%%}+%%%{%%%{96,[6]%%%},[6,1,2,0]%%%}+%%%{%%{poly1[%%%{-24,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,2,1,0]%%%}+%%%{%%{poly1[%%%{192,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,3,0]%%%}+%%%{%%%{-15,[7]%%%},[4,3,0,0]%%%}+%%%{%%{poly1[%%%{-36,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,2,1,0]%%%}+%%%{%%{poly1[%%%{-64,[7]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,3,0]%%%}+%%%{%%%{-6,[8]%%%},[2,3,0,0]%%%}+%%%{%%%{-48,[8]%%%},[2,1,2,0]%%%}+%%%{%%{poly1[%%%{-12,[8]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,2,1,0]%%%}+%%%{%%%{-1,[9]%%%},[0,3,0,0]%%%} Error: Bad Argument Value","F(-2)",0
314,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(a*tan((f*x+exp(1))/2)^2+a)/(a*tan((f*x+exp(1))/2)^2+a)^2*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(1/3600*tan((f*x+exp(1))/2)*(-2400*A*a*d^3*sign(tan((f*x+exp(1))/2)+1)+3960*B*a*d^3*sign(tan((f*x+exp(1))/2)+1)+5400*A*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)-7200*B*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)+5400*B*a*c^2*d*sign(tan((f*x+exp(1))/2)+1))+1/3600*(3600*A*a*d^3*sign(tan((f*x+exp(1))/2)+1)-5400*B*a*d^3*sign(tan((f*x+exp(1))/2)+1)-5400*A*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)+10800*B*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)-5400*B*a*c^2*d*sign(tan((f*x+exp(1))/2)+1)))+1/3600*(-6000*A*a*d^3*sign(tan((f*x+exp(1))/2)+1)+10800*B*a*d^3*sign(tan((f*x+exp(1))/2)+1)+10800*A*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)-18000*B*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)+10800*B*a*c^2*d*sign(tan((f*x+exp(1))/2)+1)))+1/3600*(6000*A*a*d^3*sign(tan((f*x+exp(1))/2)+1)-10800*B*a*d^3*sign(tan((f*x+exp(1))/2)+1)-10800*A*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)+18000*B*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)-10800*B*a*c^2*d*sign(tan((f*x+exp(1))/2)+1)))+1/3600*(-3600*A*a*d^3*sign(tan((f*x+exp(1))/2)+1)+5400*B*a*d^3*sign(tan((f*x+exp(1))/2)+1)+5400*A*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)-10800*B*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)+5400*B*a*c^2*d*sign(tan((f*x+exp(1))/2)+1)))+1/3600*(2400*A*a*d^3*sign(tan((f*x+exp(1))/2)+1)-3960*B*a*d^3*sign(tan((f*x+exp(1))/2)+1)-5400*A*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)+7200*B*a*c*d^2*sign(tan((f*x+exp(1))/2)+1)-5400*B*a*c^2*d*sign(tan((f*x+exp(1))/2)+1)))+2*(1/4*(-3*A*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+3*A*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+3*B*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-3*B*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-9*A*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+9*A*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+9*B*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-9*B*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+A*a*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-A*a*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+A*sqrt(a)*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-A*sqrt(a)*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-B*a*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+B*a*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-B*sqrt(a)*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+B*sqrt(a)*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+3*A*a*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-3*A*a*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+3*A*sqrt(a)*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-3*A*sqrt(a)*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-3*B*a*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+3*B*a*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-3*B*sqrt(a)*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+3*B*sqrt(a)*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+A*sqrt(a)*a*c^3-A*sqrt(a)*a*d^3-B*sqrt(a)*a*c^3+B*sqrt(a)*a*d^3+3*A*sqrt(a)*a*c*d^2-3*A*sqrt(a)*a*c^2*d-3*B*sqrt(a)*a*c*d^2+3*B*sqrt(a)*a*c^2*d)/(-(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+a)^2/a/sign(tan((f*x+exp(1))/2)+1)+1/4*(A*c^3+11*A*d^3+3*B*c^3-15*B*d^3-21*A*c*d^2+9*A*c^2*d+33*B*c*d^2-21*B*c^2*d)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(2)/sqrt(-a)/a/sign(tan((f*x+exp(1))/2)+1)))","F(-2)",0
315,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(a*tan((f*x+exp(1))/2)^2+a)/(a*tan((f*x+exp(1))/2)^2+a)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(-1/144*tan((f*x+exp(1))/2)*(-72*A*d^2*sign(tan((f*x+exp(1))/2)+1)+96*B*d^2*sign(tan((f*x+exp(1))/2)+1)-144*B*c*d*sign(tan((f*x+exp(1))/2)+1))-1/144*(72*A*d^2*sign(tan((f*x+exp(1))/2)+1)-144*B*d^2*sign(tan((f*x+exp(1))/2)+1)+144*B*c*d*sign(tan((f*x+exp(1))/2)+1)))-1/144*(-72*A*d^2*sign(tan((f*x+exp(1))/2)+1)+144*B*d^2*sign(tan((f*x+exp(1))/2)+1)-144*B*c*d*sign(tan((f*x+exp(1))/2)+1)))-1/144*(72*A*d^2*sign(tan((f*x+exp(1))/2)+1)-96*B*d^2*sign(tan((f*x+exp(1))/2)+1)+144*B*c*d*sign(tan((f*x+exp(1))/2)+1)))+2*(1/4*(-3*A*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-3*A*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+3*B*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+3*B*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+6*A*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-6*B*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+A*a*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+A*a*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+A*sqrt(a)*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+A*sqrt(a)*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-B*a*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-B*a*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-B*sqrt(a)*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-B*sqrt(a)*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-2*A*a*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-2*A*sqrt(a)*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+2*B*a*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+2*B*sqrt(a)*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+A*sqrt(a)*a*c^2+A*sqrt(a)*a*d^2-B*sqrt(a)*a*c^2-B*sqrt(a)*a*d^2-2*A*sqrt(a)*a*c*d+2*B*sqrt(a)*a*c*d)/(-(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+a)^2/a/sign(tan((f*x+exp(1))/2)+1)+1/4*(A*c^2-7*A*d^2+3*B*c^2+11*B*d^2+6*A*c*d-14*B*c*d)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(2)/sqrt(-a)/a/sign(tan((f*x+exp(1))/2)+1)))","F(-2)",0
316,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*sqrt(a*tan((f*x+exp(1))/2)^2+a)*(-1/2*B*d/a/sign(tan((f*x+exp(1))/2)+1)+1/2*B*d*tan((f*x+exp(1))/2)/a/sign(tan((f*x+exp(1))/2)+1))/(a*tan((f*x+exp(1))/2)^2+a)+2*(1/4*(-3*A*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+3*A*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+3*B*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-3*B*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+A*a*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-A*a*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+A*sqrt(a)*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-A*sqrt(a)*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-B*a*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+B*a*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-B*sqrt(a)*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+B*sqrt(a)*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+A*sqrt(a)*a*c-A*sqrt(a)*a*d-B*sqrt(a)*a*c+B*sqrt(a)*a*d)/(-(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+a)^2/a/sign(tan((f*x+exp(1))/2)+1)+1/4*(A*c+3*A*d+3*B*c-7*B*d)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(2)/sqrt(-a)/a/sign(tan((f*x+exp(1))/2)+1)))","F(-2)",0
317,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/4*(-3*A*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+3*B*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+A*a*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+A*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-B*a*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-B*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+A*sqrt(a)*a-B*sqrt(a)*a)/(-(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+a)^2/a/sign(tan((f*x+exp(1))/2)+1)+1/4*(A+3*B)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(2)/sqrt(-a)/a/sign(tan((f*x+exp(1))/2)+1))","F(-2)",0
318,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(3/2)/(c+d*sin(f*x+e)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Discontinuities at zeroes of cos((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep+1)]Warning, assuming -c^3*d^5-c^2*d^6+c*d^7+d^8-c*d^7-d^8 is positive. Hint: run assume to make assumptions on a variableWarning, assuming -a*c^3*d^5-a*c^2*d^6+a*c*d^7+a*d^8-a*c*d^7-a*d^8 is positive. Hint: run assume to make assumptions on a variableWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-90]Evaluation time: 67.84sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
319,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(3/2)/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Discontinuities at zeroes of cos((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep+1)]Evaluation time: 1.14index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
320,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(3/2)/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Discontinuities at zeroes of cos((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep+1)]Evaluation time: 3.24Error: Bad Argument Type","F(-2)",0
321,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^3/(a+a*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2/sqrt(a*tan((f*x+exp(1))/2)^2+a)/(a*tan((f*x+exp(1))/2)^2+a)*(tan((f*x+exp(1))/2)*(tan((f*x+exp(1))/2)*(-1/144*tan((f*x+exp(1))/2)*(-72*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+168*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-216*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1))/a^4-1/144*(72*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-216*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+216*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1))/a^4)-1/144*(-72*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+216*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-216*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1))/a^4)-1/144*(72*A*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)-168*B*a^3*d^3*sign(tan((f*x+exp(1))/2)+1)+216*B*a^3*c*d^2*sign(tan((f*x+exp(1))/2)+1))/a^4)+2*(1/32*(-29*A*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7-43*A*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+5*B*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+67*B*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+57*A*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+15*A*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7-129*B*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+57*B*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+75*A*sqrt(a)*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6+237*A*sqrt(a)*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6+29*B*sqrt(a)*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6-341*B*sqrt(a)*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6-399*A*sqrt(a)*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6+87*A*sqrt(a)*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6+711*B*sqrt(a)*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6-399*B*sqrt(a)*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6-55*A*a*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-161*A*a*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-17*B*a*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5+233*B*a*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5+267*A*a*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-51*A*a*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-483*B*a*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5+267*B*a*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-91*A*sqrt(a)*a*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4-221*A*sqrt(a)*a*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4-13*B*sqrt(a)*a*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4+325*B*sqrt(a)*a*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4+351*A*sqrt(a)*a*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4-39*A*sqrt(a)*a*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4-663*B*sqrt(a)*a*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4+351*B*sqrt(a)*a*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4+A*a^2*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-25*A*a^2*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-9*B*a^2*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+33*B*a^2*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+51*A*a^2*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-27*A*a^2*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-75*B*a^2*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+51*B*a^2*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+27*A*a^3*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+93*A*a^3*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+65*A*sqrt(a)*a^2*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+103*A*sqrt(a)*a^2*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+13*B*a^3*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-133*B*a^3*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-9*B*sqrt(a)*a^2*c^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-159*B*sqrt(a)*a^2*d^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-159*A*a^3*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+39*A*a^3*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-141*A*sqrt(a)*a^2*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-27*A*sqrt(a)*a^2*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+279*B*a^3*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-159*B*a^3*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+309*B*sqrt(a)*a^2*c*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-141*B*sqrt(a)*a^2*c^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+7*A*sqrt(a)*a^3*c^3+17*A*sqrt(a)*a^3*d^3+B*sqrt(a)*a^3*c^3-25*B*sqrt(a)*a^3*d^3-27*A*sqrt(a)*a^3*c*d^2+3*A*sqrt(a)*a^3*c^2*d+51*B*sqrt(a)*a^3*c*d^2-27*B*sqrt(a)*a^3*c^2*d)/a^2/(-(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+a)^4/sign(tan((f*x+exp(1))/2)+1)+1/32*(3*A*c^3-75*A*d^3+5*B*c^3+163*B*d^3+57*A*c*d^2+15*A*c^2*d-225*B*c*d^2+57*B*c^2*d)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(2)/a^2/sqrt(-a)/sign(tan((f*x+exp(1))/2)+1)))","F(-2)",0
322,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2/(a+a*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*(2*sqrt(a*tan((f*x+exp(1))/2)^2+a)*(-1/2*B*d^2/a^2/sign(tan((f*x+exp(1))/2)+1)+1/2*B*d^2*tan((f*x+exp(1))/2)/a^2/sign(tan((f*x+exp(1))/2)+1))/(a*tan((f*x+exp(1))/2)^2+a)+2*(1/32*(-29*A*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+19*A*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+5*B*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7-43*B*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+10*A*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+38*B*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+75*A*sqrt(a)*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6-133*A*sqrt(a)*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6+29*B*sqrt(a)*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6+237*B*sqrt(a)*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6+58*A*sqrt(a)*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6-266*B*sqrt(a)*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6-55*A*a*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5+89*A*a*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-17*B*a*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-161*B*a*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-34*A*a*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5+178*B*a*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-91*A*sqrt(a)*a*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4+117*A*sqrt(a)*a*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4-13*B*sqrt(a)*a*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4-221*B*sqrt(a)*a*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4-26*A*sqrt(a)*a*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4+234*B*sqrt(a)*a*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4+A*a^2*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+17*A*a^2*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-9*B*a^2*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-25*B*a^2*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-18*A*a^2*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+34*B*a^2*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+27*A*a^3*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-53*A*a^3*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+65*A*sqrt(a)*a^2*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-47*A*sqrt(a)*a^2*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+13*B*a^3*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+93*B*a^3*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-9*B*sqrt(a)*a^2*c^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+103*B*sqrt(a)*a^2*d^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+26*A*a^3*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-18*A*sqrt(a)*a^2*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-106*B*a^3*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-94*B*sqrt(a)*a^2*c*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+7*A*sqrt(a)*a^3*c^2-9*A*sqrt(a)*a^3*d^2+B*sqrt(a)*a^3*c^2+17*B*sqrt(a)*a^3*d^2+2*A*sqrt(a)*a^3*c*d-18*B*sqrt(a)*a^3*c*d)/a^2/(-(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+a)^4/sign(tan((f*x+exp(1))/2)+1)+1/32*(3*A*c^2+19*A*d^2+5*B*c^2-75*B*d^2+10*A*c*d+38*B*c*d)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(2)/a^2/sqrt(-a)/sign(tan((f*x+exp(1))/2)+1)))","F(-2)",0
323,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))/(a+a*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/32*(-29*A*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+5*A*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+5*B*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+19*B*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+75*A*sqrt(a)*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6+29*A*sqrt(a)*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6+29*B*sqrt(a)*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6-133*B*sqrt(a)*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6-55*A*a*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-17*A*a*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-17*B*a*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5+89*B*a*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-91*A*sqrt(a)*a*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4-13*A*sqrt(a)*a*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4-13*B*sqrt(a)*a*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4+117*B*sqrt(a)*a*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4+A*a^2*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-9*A*a^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-9*B*a^2*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+17*B*a^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+27*A*a^3*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+13*A*a^3*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+65*A*sqrt(a)*a^2*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-9*A*sqrt(a)*a^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+13*B*a^3*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-53*B*a^3*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-9*B*sqrt(a)*a^2*c*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2-47*B*sqrt(a)*a^2*d*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+7*A*sqrt(a)*a^3*c+A*sqrt(a)*a^3*d+B*sqrt(a)*a^3*c-9*B*sqrt(a)*a^3*d)/a^2/(-(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+a)^4/sign(tan((f*x+exp(1))/2)+1)+1/32*(3*A*c+5*A*d+5*B*c+19*B*d)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(2)/a^2/sqrt(-a)/sign(tan((f*x+exp(1))/2)+1))","F(-2)",0
324,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2*(1/32*(-29*A*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+5*B*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^7+75*A*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6+29*B*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^6-55*A*a*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-17*B*a*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^5-91*A*sqrt(a)*a*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4-13*B*sqrt(a)*a*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^4+A*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3-9*B*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^3+27*A*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+65*A*sqrt(a)*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+13*B*a^3*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))-9*B*sqrt(a)*a^2*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+7*A*sqrt(a)*a^3+B*sqrt(a)*a^3)/a^2/(-(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))^2+2*sqrt(a)*(-sqrt(a)*tan((f*x+exp(1))/2)+sqrt(a*tan((f*x+exp(1))/2)^2+a))+a)^4/sign(tan((f*x+exp(1))/2)+1)+1/32*(3*A+5*B)*atan((-sqrt(a)*tan((f*x+exp(1))/2)-sqrt(a)+sqrt(a*tan((f*x+exp(1))/2)^2+a))/sqrt(2)/sqrt(-a))/sqrt(2)/a^2/sqrt(-a)/sign(tan((f*x+exp(1))/2)+1))","F(-2)",0
325,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(5/2)/(c+d*sin(f*x+e)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Discontinuities at zeroes of cos((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep+1)]Warning, assuming -c^3*d^7-c^2*d^8+c*d^9+d^10-c*d^9-d^10 is positive. Hint: run assume to make assumptions on a variableWarning, assuming -a*c^3*d^7-a*c^2*d^8+a*c*d^9+a*d^10-a*c*d^9-a*d^10 is positive. Hint: run assume to make assumptions on a variableWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[37]Evaluation time: 76.21sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
326,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(5/2)/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Discontinuities at zeroes of cos((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep+1)]Evaluation time: 1.57index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
327,-2,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+a*sin(f*x+e))^(5/2)/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(cos((f*t_nostep+exp(1))/2-pi/4))]Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Discontinuities at zeroes of cos((f*t_nostep+exp(1))/2-pi/4) were not checkedUnable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/t_nostep/2)>(-4*pi/t_nostep/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep+1)]Evaluation time: 2.32Conj Error: Bad Argument Type","F(-2)",0
328,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^2*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^n,x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{2} {\left(d \sin\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^2*(d*sin(f*x + e) + c)^n, x)","F",0
329,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^n,x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)} {\left(d \sin\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)*(d*sin(f*x + e) + c)^n, x)","F",0
330,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^n/(a+a*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(d \sin\left(f x + e\right) + c\right)}^{n}}{a \sin\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e) + c)^n/(a*sin(f*x + e) + a), x)","F",0
331,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^n/(a+a*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(d \sin\left(f x + e\right) + c\right)}^{n}}{{\left(a \sin\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e) + c)^n/(a*sin(f*x + e) + a)^2, x)","F",0
332,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^n,x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}} {\left(d \sin\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^(3/2)*(d*sin(f*x + e) + c)^n, x)","F",0
333,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^(1/2)*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^n,x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} \sqrt{a \sin\left(f x + e\right) + a} {\left(d \sin\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*sqrt(a*sin(f*x + e) + a)*(d*sin(f*x + e) + c)^n, x)","F",0
334,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^n/(a+a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(d \sin\left(f x + e\right) + c\right)}^{n}}{\sqrt{a \sin\left(f x + e\right) + a}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e) + c)^n/sqrt(a*sin(f*x + e) + a), x)","F",0
335,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^n/(a+a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(d \sin\left(f x + e\right) + c\right)}^{n}}{{\left(a \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e) + c)^n/(a*sin(f*x + e) + a)^(3/2), x)","F",0
336,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(d \sin\left(f x + e\right) + c\right)}^{2} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e) + c)^2*(a*sin(f*x + e) + a)^m, x)","F",0
337,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c+d*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(d \sin\left(f x + e\right) + c\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e) + c)*(a*sin(f*x + e) + a)^m, x)","F",0
338,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m, x)","F",0
339,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c+d*sin(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{d \sin\left(f x + e\right) + c}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/(d*sin(f*x + e) + c), x)","F",0
340,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{{\left(d \sin\left(f x + e\right) + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/(d*sin(f*x + e) + c)^2, x)","F",0
341,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^3,x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{{\left(d \sin\left(f x + e\right) + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/(d*sin(f*x + e) + c)^3, x)","F",0
342,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(d \sin\left(f x + e\right) + c\right)}^{\frac{3}{2}} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e) + c)^(3/2)*(a*sin(f*x + e) + a)^m, x)","F",0
343,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} \sqrt{d \sin\left(f x + e\right) + c} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*sqrt(d*sin(f*x + e) + c)*(a*sin(f*x + e) + a)^m, x)","F",0
344,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{\sqrt{d \sin\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/sqrt(d*sin(f*x + e) + c), x)","F",0
345,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}}{{\left(d \sin\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m/(d*sin(f*x + e) + c)^(3/2), x)","F",0
346,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^n,x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} {\left(d \sin\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m*(d*sin(f*x + e) + c)^n, x)","F",0
347,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^(-1-m),x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} {\left(d \sin\left(f x + e\right) + c\right)}^{-m - 1}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m*(d*sin(f*x + e) + c)^(-m - 1), x)","F",0
348,0,0,0,0.000000," ","integrate((a-a*sin(f*x+e))*(a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^n,x, algorithm=""giac"")","\int -{\left(a \sin\left(f x + e\right) - a\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} {\left(d \sin\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate(-(a*sin(f*x + e) - a)*(a*sin(f*x + e) + a)^m*(d*sin(f*x + e) + c)^n, x)","F",0
349,0,0,0,0.000000," ","integrate((a-a*sin(f*x+e))*(a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(-1-m),x, algorithm=""giac"")","\int -{\left(a \sin\left(f x + e\right) - a\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m} {\left(d \sin\left(f x + e\right) + c\right)}^{-m - 1}\,{d x}"," ",0,"integrate(-(a*sin(f*x + e) - a)*(a*sin(f*x + e) + a)^m*(d*sin(f*x + e) + c)^(-m - 1), x)","F",0
350,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(-2-m)*(d-(c-d)*m+(c+(c-d)*m)*sin(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
351,-1,0,0,0.000000," ","integrate((a-a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(-2-m)*(d+(c+d)*m+(c+(c+d)*m)*sin(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
352,1,776,0,6.894409," ","integrate((a+b*sin(f*x+e))^2*(A+B*sin(f*x+e))/(c+d*sin(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(2 \, B b^{2} c^{4} - 2 \, B a b c^{3} d - A b^{2} c^{3} d - 3 \, B b^{2} c^{2} d^{2} + A a^{2} c d^{3} + 4 \, B a b c d^{3} + 2 \, A b^{2} c d^{3} - B a^{2} d^{4} - 2 \, A a b d^{4}\right)} {\left(\pi \left \lfloor \frac{f x + e}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(c\right) + \arctan\left(\frac{c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + d}{\sqrt{c^{2} - d^{2}}}\right)\right)}}{{\left(c^{2} d^{3} - d^{5}\right)} \sqrt{c^{2} - d^{2}}} - \frac{2 \, {\left(B b^{2} c^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 \, B a b c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - A b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + B a^{2} c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, A a b c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - A a^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, B b^{2} c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, B a b c^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - A b^{2} c^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + B a^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, A a b c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - A a^{2} c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B b^{2} c^{3} d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 2 \, B a b c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - A b^{2} c^{2} d^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + B a^{2} c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, A a b c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 2 \, B b^{2} c d^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - A a^{2} d^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 2 \, B b^{2} c^{4} - 2 \, B a b c^{3} d - A b^{2} c^{3} d + B a^{2} c^{2} d^{2} + 2 \, A a b c^{2} d^{2} - B b^{2} c^{2} d^{2} - A a^{2} c d^{3}\right)}}{{\left(c^{3} d^{2} - c d^{4}\right)} {\left(c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 \, c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, d \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + c\right)}} - \frac{{\left(2 \, B b^{2} c - 2 \, B a b d - A b^{2} d\right)} {\left(f x + e\right)}}{d^{3}}}{f}"," ",0,"(2*(2*B*b^2*c^4 - 2*B*a*b*c^3*d - A*b^2*c^3*d - 3*B*b^2*c^2*d^2 + A*a^2*c*d^3 + 4*B*a*b*c*d^3 + 2*A*b^2*c*d^3 - B*a^2*d^4 - 2*A*a*b*d^4)*(pi*floor(1/2*(f*x + e)/pi + 1/2)*sgn(c) + arctan((c*tan(1/2*f*x + 1/2*e) + d)/sqrt(c^2 - d^2)))/((c^2*d^3 - d^5)*sqrt(c^2 - d^2)) - 2*(B*b^2*c^3*d*tan(1/2*f*x + 1/2*e)^3 - 2*B*a*b*c^2*d^2*tan(1/2*f*x + 1/2*e)^3 - A*b^2*c^2*d^2*tan(1/2*f*x + 1/2*e)^3 + B*a^2*c*d^3*tan(1/2*f*x + 1/2*e)^3 + 2*A*a*b*c*d^3*tan(1/2*f*x + 1/2*e)^3 - A*a^2*d^4*tan(1/2*f*x + 1/2*e)^3 + 2*B*b^2*c^4*tan(1/2*f*x + 1/2*e)^2 - 2*B*a*b*c^3*d*tan(1/2*f*x + 1/2*e)^2 - A*b^2*c^3*d*tan(1/2*f*x + 1/2*e)^2 + B*a^2*c^2*d^2*tan(1/2*f*x + 1/2*e)^2 + 2*A*a*b*c^2*d^2*tan(1/2*f*x + 1/2*e)^2 - B*b^2*c^2*d^2*tan(1/2*f*x + 1/2*e)^2 - A*a^2*c*d^3*tan(1/2*f*x + 1/2*e)^2 + 3*B*b^2*c^3*d*tan(1/2*f*x + 1/2*e) - 2*B*a*b*c^2*d^2*tan(1/2*f*x + 1/2*e) - A*b^2*c^2*d^2*tan(1/2*f*x + 1/2*e) + B*a^2*c*d^3*tan(1/2*f*x + 1/2*e) + 2*A*a*b*c*d^3*tan(1/2*f*x + 1/2*e) - 2*B*b^2*c*d^3*tan(1/2*f*x + 1/2*e) - A*a^2*d^4*tan(1/2*f*x + 1/2*e) + 2*B*b^2*c^4 - 2*B*a*b*c^3*d - A*b^2*c^3*d + B*a^2*c^2*d^2 + 2*A*a*b*c^2*d^2 - B*b^2*c^2*d^2 - A*a^2*c*d^3)/((c^3*d^2 - c*d^4)*(c*tan(1/2*f*x + 1/2*e)^4 + 2*d*tan(1/2*f*x + 1/2*e)^3 + 2*c*tan(1/2*f*x + 1/2*e)^2 + 2*d*tan(1/2*f*x + 1/2*e) + c)) - (2*B*b^2*c - 2*B*a*b*d - A*b^2*d)*(f*x + e)/d^3)/f","B",0
353,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^(3/2)/(a+b*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} {\left(d \sin\left(f x + e\right) + c\right)}^{\frac{3}{2}}}{{\left(b \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(d*sin(f*x + e) + c)^(3/2)/(b*sin(f*x + e) + a)^(3/2), x)","F",0
354,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))*(c+d*sin(f*x+e))^(1/2)/(a+b*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \sin\left(f x + e\right) + A\right)} \sqrt{d \sin\left(f x + e\right) + c}}{{\left(b \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*sqrt(d*sin(f*x + e) + c)/(b*sin(f*x + e) + a)^(3/2), x)","F",0
355,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+b*sin(f*x+e))^(3/2)/(c+d*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{{\left(b \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}} \sqrt{d \sin\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/((b*sin(f*x + e) + a)^(3/2)*sqrt(d*sin(f*x + e) + c)), x)","F",0
356,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+b*sin(f*x+e))^(3/2)/(c+d*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{{\left(b \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}} {\left(d \sin\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/((b*sin(f*x + e) + a)^(3/2)*(d*sin(f*x + e) + c)^(3/2)), x)","F",0
357,0,0,0,0.000000," ","integrate((A+B*sin(f*x+e))/(a+b*sin(f*x+e))^(3/2)/(c+d*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{B \sin\left(f x + e\right) + A}{{\left(b \sin\left(f x + e\right) + a\right)}^{\frac{3}{2}} {\left(d \sin\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)/((b*sin(f*x + e) + a)^(3/2)*(d*sin(f*x + e) + c)^(5/2)), x)","F",0
358,0,0,0,0.000000," ","integrate((a+b*sin(f*x+e))^m*(A+B*sin(f*x+e))*(c+d*sin(f*x+e))^n,x, algorithm=""giac"")","\int {\left(B \sin\left(f x + e\right) + A\right)} {\left(b \sin\left(f x + e\right) + a\right)}^{m} {\left(d \sin\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate((B*sin(f*x + e) + A)*(b*sin(f*x + e) + a)^m*(d*sin(f*x + e) + c)^n, x)","F",0
