1,-1,0,0,0.000000," ","integrate(sin(f*x+e)**m*(1+m-(2+m)*sin(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2,1,141,0,7.737640," ","integrate(sin(f*x+e)**5*(6-7*sin(f*x+e)**2),x)","\begin{cases} \frac{7 \sin^{6}{\left(e + f x \right)} \cos{\left(e + f x \right)}}{f} + \frac{14 \sin^{4}{\left(e + f x \right)} \cos^{3}{\left(e + f x \right)}}{f} - \frac{6 \sin^{4}{\left(e + f x \right)} \cos{\left(e + f x \right)}}{f} + \frac{56 \sin^{2}{\left(e + f x \right)} \cos^{5}{\left(e + f x \right)}}{5 f} - \frac{8 \sin^{2}{\left(e + f x \right)} \cos^{3}{\left(e + f x \right)}}{f} + \frac{16 \cos^{7}{\left(e + f x \right)}}{5 f} - \frac{16 \cos^{5}{\left(e + f x \right)}}{5 f} & \text{for}\: f \neq 0 \\x \left(6 - 7 \sin^{2}{\left(e \right)}\right) \sin^{5}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((7*sin(e + f*x)**6*cos(e + f*x)/f + 14*sin(e + f*x)**4*cos(e + f*x)**3/f - 6*sin(e + f*x)**4*cos(e + f*x)/f + 56*sin(e + f*x)**2*cos(e + f*x)**5/(5*f) - 8*sin(e + f*x)**2*cos(e + f*x)**3/f + 16*cos(e + f*x)**7/(5*f) - 16*cos(e + f*x)**5/(5*f), Ne(f, 0)), (x*(6 - 7*sin(e)**2)*sin(e)**5, True))","A",0
3,1,236,0,4.831251," ","integrate(sin(f*x+e)**4*(5-6*sin(f*x+e)**2),x)","\begin{cases} - \frac{15 x \sin^{6}{\left(e + f x \right)}}{8} - \frac{45 x \sin^{4}{\left(e + f x \right)} \cos^{2}{\left(e + f x \right)}}{8} + \frac{15 x \sin^{4}{\left(e + f x \right)}}{8} - \frac{45 x \sin^{2}{\left(e + f x \right)} \cos^{4}{\left(e + f x \right)}}{8} + \frac{15 x \sin^{2}{\left(e + f x \right)} \cos^{2}{\left(e + f x \right)}}{4} - \frac{15 x \cos^{6}{\left(e + f x \right)}}{8} + \frac{15 x \cos^{4}{\left(e + f x \right)}}{8} + \frac{33 \sin^{5}{\left(e + f x \right)} \cos{\left(e + f x \right)}}{8 f} + \frac{5 \sin^{3}{\left(e + f x \right)} \cos^{3}{\left(e + f x \right)}}{f} - \frac{25 \sin^{3}{\left(e + f x \right)} \cos{\left(e + f x \right)}}{8 f} + \frac{15 \sin{\left(e + f x \right)} \cos^{5}{\left(e + f x \right)}}{8 f} - \frac{15 \sin{\left(e + f x \right)} \cos^{3}{\left(e + f x \right)}}{8 f} & \text{for}\: f \neq 0 \\x \left(5 - 6 \sin^{2}{\left(e \right)}\right) \sin^{4}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-15*x*sin(e + f*x)**6/8 - 45*x*sin(e + f*x)**4*cos(e + f*x)**2/8 + 15*x*sin(e + f*x)**4/8 - 45*x*sin(e + f*x)**2*cos(e + f*x)**4/8 + 15*x*sin(e + f*x)**2*cos(e + f*x)**2/4 - 15*x*cos(e + f*x)**6/8 + 15*x*cos(e + f*x)**4/8 + 33*sin(e + f*x)**5*cos(e + f*x)/(8*f) + 5*sin(e + f*x)**3*cos(e + f*x)**3/f - 25*sin(e + f*x)**3*cos(e + f*x)/(8*f) + 15*sin(e + f*x)*cos(e + f*x)**5/(8*f) - 15*sin(e + f*x)*cos(e + f*x)**3/(8*f), Ne(f, 0)), (x*(5 - 6*sin(e)**2)*sin(e)**4, True))","A",0
4,1,100,0,2.302318," ","integrate(sin(f*x+e)**3*(4-5*sin(f*x+e)**2),x)","\begin{cases} \frac{5 \sin^{4}{\left(e + f x \right)} \cos{\left(e + f x \right)}}{f} + \frac{20 \sin^{2}{\left(e + f x \right)} \cos^{3}{\left(e + f x \right)}}{3 f} - \frac{4 \sin^{2}{\left(e + f x \right)} \cos{\left(e + f x \right)}}{f} + \frac{8 \cos^{5}{\left(e + f x \right)}}{3 f} - \frac{8 \cos^{3}{\left(e + f x \right)}}{3 f} & \text{for}\: f \neq 0 \\x \left(4 - 5 \sin^{2}{\left(e \right)}\right) \sin^{3}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((5*sin(e + f*x)**4*cos(e + f*x)/f + 20*sin(e + f*x)**2*cos(e + f*x)**3/(3*f) - 4*sin(e + f*x)**2*cos(e + f*x)/f + 8*cos(e + f*x)**5/(3*f) - 8*cos(e + f*x)**3/(3*f), Ne(f, 0)), (x*(4 - 5*sin(e)**2)*sin(e)**3, True))","A",0
5,1,148,0,1.341023," ","integrate(sin(f*x+e)**2*(3-4*sin(f*x+e)**2),x)","\begin{cases} - \frac{3 x \sin^{4}{\left(e + f x \right)}}{2} - 3 x \sin^{2}{\left(e + f x \right)} \cos^{2}{\left(e + f x \right)} + \frac{3 x \sin^{2}{\left(e + f x \right)}}{2} - \frac{3 x \cos^{4}{\left(e + f x \right)}}{2} + \frac{3 x \cos^{2}{\left(e + f x \right)}}{2} + \frac{5 \sin^{3}{\left(e + f x \right)} \cos{\left(e + f x \right)}}{2 f} + \frac{3 \sin{\left(e + f x \right)} \cos^{3}{\left(e + f x \right)}}{2 f} - \frac{3 \sin{\left(e + f x \right)} \cos{\left(e + f x \right)}}{2 f} & \text{for}\: f \neq 0 \\x \left(3 - 4 \sin^{2}{\left(e \right)}\right) \sin^{2}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*x*sin(e + f*x)**4/2 - 3*x*sin(e + f*x)**2*cos(e + f*x)**2 + 3*x*sin(e + f*x)**2/2 - 3*x*cos(e + f*x)**4/2 + 3*x*cos(e + f*x)**2/2 + 5*sin(e + f*x)**3*cos(e + f*x)/(2*f) + 3*sin(e + f*x)*cos(e + f*x)**3/(2*f) - 3*sin(e + f*x)*cos(e + f*x)/(2*f), Ne(f, 0)), (x*(3 - 4*sin(e)**2)*sin(e)**2, True))","A",0
6,1,53,0,0.590651," ","integrate(sin(f*x+e)*(2-3*sin(f*x+e)**2),x)","\begin{cases} \frac{3 \sin^{2}{\left(e + f x \right)} \cos{\left(e + f x \right)}}{f} + \frac{2 \cos^{3}{\left(e + f x \right)}}{f} - \frac{2 \cos{\left(e + f x \right)}}{f} & \text{for}\: f \neq 0 \\x \left(2 - 3 \sin^{2}{\left(e \right)}\right) \sin{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*sin(e + f*x)**2*cos(e + f*x)/f + 2*cos(e + f*x)**3/f - 2*cos(e + f*x)/f, Ne(f, 0)), (x*(2 - 3*sin(e)**2)*sin(e), True))","A",0
7,1,49,0,0.259154," ","integrate(1-2*sin(f*x+e)**2,x)","x - 2 \left(\begin{cases} \frac{x \sin^{2}{\left(e + f x \right)}}{2} + \frac{x \cos^{2}{\left(e + f x \right)}}{2} - \frac{\sin{\left(e + f x \right)} \cos{\left(e + f x \right)}}{2 f} & \text{for}\: f \neq 0 \\x \sin^{2}{\left(e \right)} & \text{otherwise} \end{cases}\right)"," ",0,"x - 2*Piecewise((x*sin(e + f*x)**2/2 + x*cos(e + f*x)**2/2 - sin(e + f*x)*cos(e + f*x)/(2*f), Ne(f, 0)), (x*sin(e)**2, True))","A",0
8,1,4124,0,46.571229," ","integrate(-csc(f*x+e)*sin(f*x+e)**2,x)","- \frac{\begin{cases} - \frac{\log{\left(\cot{\left(e + f x \right)} + \csc{\left(e + f x \right)} \right)}}{f} & \text{for}\: f \neq 0 \\\frac{x \left(\cot{\left(e \right)} \csc{\left(e \right)} + \csc^{2}{\left(e \right)}\right)}{\cot{\left(e \right)} + \csc{\left(e \right)}} & \text{otherwise} \end{cases}}{2} - 2 \left(\begin{cases} x & \text{for}\: e = 0 \wedge f = 0 \\\frac{\sin{\left(f x \right)}}{f} & \text{for}\: e = 0 \\0 & \text{for}\: f = 0 \\\frac{2 \log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{3}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2 \log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{3}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{2 \log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{2 \log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{2 \log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{3}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{2 \log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{3}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2 \log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2 \log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{2 \tan^{4}{\left(\frac{e}{2} \right)} \tan{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{4 \tan^{3}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{4 \tan{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2 \tan{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} & \text{otherwise} \end{cases}\right) \sin{\left(e \right)} \cos{\left(e \right)} - \left(\begin{cases} \tilde{\infty} x & \text{for}\: e = 0 \wedge f = 0 \\\frac{x}{\sin{\left(e \right)}} & \text{for}\: f = 0 \\\frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} \right)}}{f} & \text{for}\: e = 0 \\\frac{\log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)}}{f} - \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)}}{f} & \text{otherwise} \end{cases}\right) \cos^{2}{\left(e \right)} + \frac{\begin{cases} \tilde{\infty} x & \text{for}\: e = 0 \wedge f = 0 \\\frac{x}{\sin{\left(e \right)}} & \text{for}\: f = 0 \\\frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} \right)}}{f} & \text{for}\: e = 0 \\\frac{\log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)}}{f} - \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)}}{f} & \text{otherwise} \end{cases}}{2} + 2 \left(\begin{cases} \tilde{\infty} x & \text{for}\: e = 0 \wedge f = 0 \\\frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} \right)}}{f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2}{f \tan^{2}{\left(\frac{f x}{2} \right)} + f} & \text{for}\: e = 0 \\\frac{x}{\sin{\left(e \right)}} & \text{for}\: f = 0 \\\frac{\log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{\log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{4}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{2 \log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{2 \log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{2}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{\log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{\log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{4}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2 \log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2 \log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{2}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{2 \tan^{4}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{4 \tan^{3}{\left(\frac{e}{2} \right)} \tan{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{4 \tan{\left(\frac{e}{2} \right)} \tan{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} & \text{otherwise} \end{cases}\right) \cos^{2}{\left(e \right)} - \begin{cases} \tilde{\infty} x & \text{for}\: e = 0 \wedge f = 0 \\\frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} \right)}}{f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2}{f \tan^{2}{\left(\frac{f x}{2} \right)} + f} & \text{for}\: e = 0 \\\frac{x}{\sin{\left(e \right)}} & \text{for}\: f = 0 \\\frac{\log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{\log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{4}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{2 \log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{2 \log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{2}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{\log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{\log{\left(\tan{\left(\frac{e}{2} \right)} + \tan{\left(\frac{f x}{2} \right)} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{4}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2 \log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2 \log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{2}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)} \tan^{2}{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{\log{\left(\tan{\left(\frac{f x}{2} \right)} - \frac{1}{\tan{\left(\frac{e}{2} \right)}} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} - \frac{2 \tan^{4}{\left(\frac{e}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{4 \tan^{3}{\left(\frac{e}{2} \right)} \tan{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{4 \tan{\left(\frac{e}{2} \right)} \tan{\left(\frac{f x}{2} \right)}}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} + \frac{2}{f \tan^{4}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + f \tan^{4}{\left(\frac{e}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} \tan^{2}{\left(\frac{f x}{2} \right)} + 2 f \tan^{2}{\left(\frac{e}{2} \right)} + f \tan^{2}{\left(\frac{f x}{2} \right)} + f} & \text{otherwise} \end{cases}"," ",0,"-Piecewise((-log(cot(e + f*x) + csc(e + f*x))/f, Ne(f, 0)), (x*(cot(e)*csc(e) + csc(e)**2)/(cot(e) + csc(e)), True))/2 - 2*Piecewise((x, Eq(e, 0) & Eq(f, 0)), (sin(f*x)/f, Eq(e, 0)), (0, Eq(f, 0)), (2*log(tan(e/2) + tan(f*x/2))*tan(e/2)**3*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 2*log(tan(e/2) + tan(f*x/2))*tan(e/2)**3/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 2*log(tan(e/2) + tan(f*x/2))*tan(e/2)*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 2*log(tan(e/2) + tan(f*x/2))*tan(e/2)/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 2*log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)**3*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 2*log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)**3/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 2*log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 2*log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 2*tan(e/2)**4*tan(f*x/2)/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 4*tan(e/2)**3/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 4*tan(e/2)/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 2*tan(f*x/2)/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f), True))*sin(e)*cos(e) - Piecewise((zoo*x, Eq(e, 0) & Eq(f, 0)), (x/sin(e), Eq(f, 0)), (log(tan(f*x/2))/f, Eq(e, 0)), (log(tan(e/2) + tan(f*x/2))/f - log(tan(f*x/2) - 1/tan(e/2))/f, True))*cos(e)**2 + Piecewise((zoo*x, Eq(e, 0) & Eq(f, 0)), (x/sin(e), Eq(f, 0)), (log(tan(f*x/2))/f, Eq(e, 0)), (log(tan(e/2) + tan(f*x/2))/f - log(tan(f*x/2) - 1/tan(e/2))/f, True))/2 + 2*Piecewise((zoo*x, Eq(e, 0) & Eq(f, 0)), (log(tan(f*x/2))*tan(f*x/2)**2/(f*tan(f*x/2)**2 + f) + log(tan(f*x/2))/(f*tan(f*x/2)**2 + f) + 2/(f*tan(f*x/2)**2 + f), Eq(e, 0)), (x/sin(e), Eq(f, 0)), (log(tan(e/2) + tan(f*x/2))*tan(e/2)**4*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + log(tan(e/2) + tan(f*x/2))*tan(e/2)**4/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 2*log(tan(e/2) + tan(f*x/2))*tan(e/2)**2*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 2*log(tan(e/2) + tan(f*x/2))*tan(e/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + log(tan(e/2) + tan(f*x/2))*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + log(tan(e/2) + tan(f*x/2))/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)**4*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)**4/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 2*log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)**2*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 2*log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - log(tan(f*x/2) - 1/tan(e/2))*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - log(tan(f*x/2) - 1/tan(e/2))/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 2*tan(e/2)**4/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 4*tan(e/2)**3*tan(f*x/2)/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 4*tan(e/2)*tan(f*x/2)/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f), True))*cos(e)**2 - Piecewise((zoo*x, Eq(e, 0) & Eq(f, 0)), (log(tan(f*x/2))*tan(f*x/2)**2/(f*tan(f*x/2)**2 + f) + log(tan(f*x/2))/(f*tan(f*x/2)**2 + f) + 2/(f*tan(f*x/2)**2 + f), Eq(e, 0)), (x/sin(e), Eq(f, 0)), (log(tan(e/2) + tan(f*x/2))*tan(e/2)**4*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + log(tan(e/2) + tan(f*x/2))*tan(e/2)**4/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 2*log(tan(e/2) + tan(f*x/2))*tan(e/2)**2*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 2*log(tan(e/2) + tan(f*x/2))*tan(e/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + log(tan(e/2) + tan(f*x/2))*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + log(tan(e/2) + tan(f*x/2))/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)**4*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)**4/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 2*log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)**2*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 2*log(tan(f*x/2) - 1/tan(e/2))*tan(e/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - log(tan(f*x/2) - 1/tan(e/2))*tan(f*x/2)**2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - log(tan(f*x/2) - 1/tan(e/2))/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) - 2*tan(e/2)**4/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 4*tan(e/2)**3*tan(f*x/2)/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 4*tan(e/2)*tan(f*x/2)/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f) + 2/(f*tan(e/2)**4*tan(f*x/2)**2 + f*tan(e/2)**4 + 2*f*tan(e/2)**2*tan(f*x/2)**2 + 2*f*tan(e/2)**2 + f*tan(f*x/2)**2 + f), True))","B",0
9,0,0,0,0.000000," ","integrate(-csc(f*x+e)**2,x)","- \int \csc^{2}{\left(e + f x \right)}\, dx"," ",0,"-Integral(csc(e + f*x)**2, x)","F",0
10,0,0,0,0.000000," ","integrate(csc(f*x+e)**3*(-2+sin(f*x+e)**2),x)","\int \left(\sin^{2}{\left(e + f x \right)} - 2\right) \csc^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((sin(e + f*x)**2 - 2)*csc(e + f*x)**3, x)","F",0
11,0,0,0,0.000000," ","integrate(csc(f*x+e)**4*(-3+2*sin(f*x+e)**2),x)","\int \left(2 \sin^{2}{\left(e + f x \right)} - 3\right) \csc^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((2*sin(e + f*x)**2 - 3)*csc(e + f*x)**4, x)","F",0
12,-1,0,0,0.000000," ","integrate(csc(f*x+e)**5*(-4+3*sin(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
13,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**m*(A+C*sin(f*x+e)**2),x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{m} \left(A + C \sin^{2}{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**m*(A + C*sin(e + f*x)**2), x)","F",0
14,-1,0,0,0.000000," ","integrate((a+b*sin(f*x+e))**m*(A-A*sin(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,-1,0,0,0.000000," ","integrate((a+b*sin(f*x+e))**m*(A+C*sin(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,1,153,0,7.134868," ","integrate(sin(f*x+e)**5*(A+C*sin(f*x+e)**2),x)","\begin{cases} - \frac{A \sin^{4}{\left(e + f x \right)} \cos{\left(e + f x \right)}}{f} - \frac{4 A \sin^{2}{\left(e + f x \right)} \cos^{3}{\left(e + f x \right)}}{3 f} - \frac{8 A \cos^{5}{\left(e + f x \right)}}{15 f} - \frac{C \sin^{6}{\left(e + f x \right)} \cos{\left(e + f x \right)}}{f} - \frac{2 C \sin^{4}{\left(e + f x \right)} \cos^{3}{\left(e + f x \right)}}{f} - \frac{8 C \sin^{2}{\left(e + f x \right)} \cos^{5}{\left(e + f x \right)}}{5 f} - \frac{16 C \cos^{7}{\left(e + f x \right)}}{35 f} & \text{for}\: f \neq 0 \\x \left(A + C \sin^{2}{\left(e \right)}\right) \sin^{5}{\left(e \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-A*sin(e + f*x)**4*cos(e + f*x)/f - 4*A*sin(e + f*x)**2*cos(e + f*x)**3/(3*f) - 8*A*cos(e + f*x)**5/(15*f) - C*sin(e + f*x)**6*cos(e + f*x)/f - 2*C*sin(e + f*x)**4*cos(e + f*x)**3/f - 8*C*sin(e + f*x)**2*cos(e + f*x)**5/(5*f) - 16*C*cos(e + f*x)**7/(35*f), Ne(f, 0)), (x*(A + C*sin(e)**2)*sin(e)**5, True))","A",0
17,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**m*(A+B*sin(f*x+e)+C*sin(f*x+e)**2),x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{m} \left(A + B \sin{\left(e + f x \right)} + C \sin^{2}{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**m*(A + B*sin(e + f*x) + C*sin(e + f*x)**2), x)","F",0
18,-1,0,0,0.000000," ","integrate((a+b*sin(f*x+e))**m*(A+(A+C)*sin(f*x+e)+C*sin(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,-1,0,0,0.000000," ","integrate((a+b*sin(f*x+e))**m*(A+B*sin(f*x+e)+C*sin(f*x+e)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
