1,0,0,0,0.000000," ","integrate(x**3*coth(b*x+a),x)","\int x^{3} \coth{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*coth(a + b*x), x)","F",0
2,0,0,0,0.000000," ","integrate(x**2*coth(b*x+a),x)","\int x^{2} \coth{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*coth(a + b*x), x)","F",0
3,0,0,0,0.000000," ","integrate(x*coth(b*x+a),x)","\int x \coth{\left(a + b x \right)}\, dx"," ",0,"Integral(x*coth(a + b*x), x)","F",0
4,0,0,0,0.000000," ","integrate(coth(b*x+a)/x,x)","\int \frac{\coth{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(coth(a + b*x)/x, x)","F",0
5,0,0,0,0.000000," ","integrate(coth(b*x+a)/x**2,x)","\int \frac{\coth{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(coth(a + b*x)/x**2, x)","F",0
6,0,0,0,0.000000," ","integrate(x**3*coth(b*x+a)**2,x)","\int x^{3} \coth^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*coth(a + b*x)**2, x)","F",0
7,0,0,0,0.000000," ","integrate(x**2*coth(b*x+a)**2,x)","\int x^{2} \coth^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*coth(a + b*x)**2, x)","F",0
8,1,80,0,2.446023," ","integrate(x*coth(b*x+a)**2,x)","\begin{cases} \frac{x^{2} \coth^{2}{\left(a \right)}}{2} & \text{for}\: b = 0 \\\tilde{\infty} x^{2} + \frac{\tilde{\infty} x}{b} & \text{for}\: a = \log{\left(- e^{- b x} \right)} \\\tilde{\infty} x^{2} & \text{for}\: a = \log{\left(e^{- b x} \right)} \\\frac{x^{2}}{2} + \frac{x}{b} - \frac{x}{b \tanh{\left(a + b x \right)}} - \frac{\log{\left(\tanh{\left(a + b x \right)} + 1 \right)}}{b^{2}} + \frac{\log{\left(\tanh{\left(a + b x \right)} \right)}}{b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*coth(a)**2/2, Eq(b, 0)), (zoo*x**2 + zoo*x/b, Eq(a, log(-exp(-b*x)))), (zoo*x**2, Eq(a, log(exp(-b*x)))), (x**2/2 + x/b - x/(b*tanh(a + b*x)) - log(tanh(a + b*x) + 1)/b**2 + log(tanh(a + b*x))/b**2, True))","A",0
9,0,0,0,0.000000," ","integrate(coth(b*x+a)**2/x,x)","\int \frac{\coth^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(coth(a + b*x)**2/x, x)","F",0
10,0,0,0,0.000000," ","integrate(coth(b*x+a)**2/x**2,x)","\int \frac{\coth^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(coth(a + b*x)**2/x**2, x)","F",0
11,0,0,0,0.000000," ","integrate(x**3*coth(b*x+a)**3,x)","\int x^{3} \coth^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*coth(a + b*x)**3, x)","F",0
12,0,0,0,0.000000," ","integrate(x**2*coth(b*x+a)**3,x)","\int x^{2} \coth^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*coth(a + b*x)**3, x)","F",0
13,0,0,0,0.000000," ","integrate(x*coth(b*x+a)**3,x)","\int x \coth^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*coth(a + b*x)**3, x)","F",0
14,0,0,0,0.000000," ","integrate(coth(b*x+a)**3/x,x)","\int \frac{\coth^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(coth(a + b*x)**3/x, x)","F",0
15,0,0,0,0.000000," ","integrate(coth(b*x+a)**3/x**2,x)","\int \frac{\coth^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(coth(a + b*x)**3/x**2, x)","F",0
16,1,864,0,1.742835," ","integrate((d*x+c)**3/(a+a*coth(f*x+e)),x)","\begin{cases} \frac{4 c^{3} f^{4} x \tanh{\left(e + f x \right)}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{4 c^{3} f^{4} x}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{4 c^{3} f^{3}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{6 c^{2} d f^{4} x^{2} \tanh{\left(e + f x \right)}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{6 c^{2} d f^{4} x^{2}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} - \frac{6 c^{2} d f^{3} x \tanh{\left(e + f x \right)}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{6 c^{2} d f^{3} x}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{6 c^{2} d f^{2}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{4 c d^{2} f^{4} x^{3} \tanh{\left(e + f x \right)}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{4 c d^{2} f^{4} x^{3}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} - \frac{6 c d^{2} f^{3} x^{2} \tanh{\left(e + f x \right)}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{6 c d^{2} f^{3} x^{2}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} - \frac{6 c d^{2} f^{2} x \tanh{\left(e + f x \right)}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{6 c d^{2} f^{2} x}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{6 c d^{2} f}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{d^{3} f^{4} x^{4} \tanh{\left(e + f x \right)}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{d^{3} f^{4} x^{4}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} - \frac{2 d^{3} f^{3} x^{3} \tanh{\left(e + f x \right)}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{2 d^{3} f^{3} x^{3}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} - \frac{3 d^{3} f^{2} x^{2} \tanh{\left(e + f x \right)}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{3 d^{3} f^{2} x^{2}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} - \frac{3 d^{3} f x \tanh{\left(e + f x \right)}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{3 d^{3} f x}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} + \frac{3 d^{3}}{8 a f^{4} \tanh{\left(e + f x \right)} + 8 a f^{4}} & \text{for}\: f \neq 0 \\\frac{c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}}{a \coth{\left(e \right)} + a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((4*c**3*f**4*x*tanh(e + f*x)/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 4*c**3*f**4*x/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 4*c**3*f**3/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 6*c**2*d*f**4*x**2*tanh(e + f*x)/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 6*c**2*d*f**4*x**2/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) - 6*c**2*d*f**3*x*tanh(e + f*x)/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 6*c**2*d*f**3*x/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 6*c**2*d*f**2/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 4*c*d**2*f**4*x**3*tanh(e + f*x)/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 4*c*d**2*f**4*x**3/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) - 6*c*d**2*f**3*x**2*tanh(e + f*x)/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 6*c*d**2*f**3*x**2/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) - 6*c*d**2*f**2*x*tanh(e + f*x)/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 6*c*d**2*f**2*x/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 6*c*d**2*f/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + d**3*f**4*x**4*tanh(e + f*x)/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + d**3*f**4*x**4/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) - 2*d**3*f**3*x**3*tanh(e + f*x)/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 2*d**3*f**3*x**3/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) - 3*d**3*f**2*x**2*tanh(e + f*x)/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 3*d**3*f**2*x**2/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) - 3*d**3*f*x*tanh(e + f*x)/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 3*d**3*f*x/(8*a*f**4*tanh(e + f*x) + 8*a*f**4) + 3*d**3/(8*a*f**4*tanh(e + f*x) + 8*a*f**4), Ne(f, 0)), ((c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4)/(a*coth(e) + a), True))","A",0
17,1,522,0,1.253296," ","integrate((d*x+c)**2/(a+a*coth(f*x+e)),x)","\begin{cases} \frac{6 c^{2} f^{3} x \tanh{\left(e + f x \right)}}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} + \frac{6 c^{2} f^{3} x}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} + \frac{6 c^{2} f^{2}}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} + \frac{6 c d f^{3} x^{2} \tanh{\left(e + f x \right)}}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} + \frac{6 c d f^{3} x^{2}}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} - \frac{6 c d f^{2} x \tanh{\left(e + f x \right)}}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} + \frac{6 c d f^{2} x}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} + \frac{6 c d f}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} + \frac{2 d^{2} f^{3} x^{3} \tanh{\left(e + f x \right)}}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} + \frac{2 d^{2} f^{3} x^{3}}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} - \frac{3 d^{2} f^{2} x^{2} \tanh{\left(e + f x \right)}}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} + \frac{3 d^{2} f^{2} x^{2}}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} - \frac{3 d^{2} f x \tanh{\left(e + f x \right)}}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} + \frac{3 d^{2} f x}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} + \frac{3 d^{2}}{12 a f^{3} \tanh{\left(e + f x \right)} + 12 a f^{3}} & \text{for}\: f \neq 0 \\\frac{c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}}{a \coth{\left(e \right)} + a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((6*c**2*f**3*x*tanh(e + f*x)/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) + 6*c**2*f**3*x/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) + 6*c**2*f**2/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) + 6*c*d*f**3*x**2*tanh(e + f*x)/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) + 6*c*d*f**3*x**2/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) - 6*c*d*f**2*x*tanh(e + f*x)/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) + 6*c*d*f**2*x/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) + 6*c*d*f/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) + 2*d**2*f**3*x**3*tanh(e + f*x)/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) + 2*d**2*f**3*x**3/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) - 3*d**2*f**2*x**2*tanh(e + f*x)/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) + 3*d**2*f**2*x**2/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) - 3*d**2*f*x*tanh(e + f*x)/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) + 3*d**2*f*x/(12*a*f**3*tanh(e + f*x) + 12*a*f**3) + 3*d**2/(12*a*f**3*tanh(e + f*x) + 12*a*f**3), Ne(f, 0)), ((c**2*x + c*d*x**2 + d**2*x**3/3)/(a*coth(e) + a), True))","A",0
18,1,250,0,0.889583," ","integrate((d*x+c)/(a+a*coth(f*x+e)),x)","\begin{cases} \frac{2 c f^{2} x \tanh{\left(e + f x \right)}}{4 a f^{2} \tanh{\left(e + f x \right)} + 4 a f^{2}} + \frac{2 c f^{2} x}{4 a f^{2} \tanh{\left(e + f x \right)} + 4 a f^{2}} + \frac{2 c f}{4 a f^{2} \tanh{\left(e + f x \right)} + 4 a f^{2}} + \frac{d f^{2} x^{2} \tanh{\left(e + f x \right)}}{4 a f^{2} \tanh{\left(e + f x \right)} + 4 a f^{2}} + \frac{d f^{2} x^{2}}{4 a f^{2} \tanh{\left(e + f x \right)} + 4 a f^{2}} - \frac{d f x \tanh{\left(e + f x \right)}}{4 a f^{2} \tanh{\left(e + f x \right)} + 4 a f^{2}} + \frac{d f x}{4 a f^{2} \tanh{\left(e + f x \right)} + 4 a f^{2}} + \frac{d}{4 a f^{2} \tanh{\left(e + f x \right)} + 4 a f^{2}} & \text{for}\: f \neq 0 \\\frac{c x + \frac{d x^{2}}{2}}{a \coth{\left(e \right)} + a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*c*f**2*x*tanh(e + f*x)/(4*a*f**2*tanh(e + f*x) + 4*a*f**2) + 2*c*f**2*x/(4*a*f**2*tanh(e + f*x) + 4*a*f**2) + 2*c*f/(4*a*f**2*tanh(e + f*x) + 4*a*f**2) + d*f**2*x**2*tanh(e + f*x)/(4*a*f**2*tanh(e + f*x) + 4*a*f**2) + d*f**2*x**2/(4*a*f**2*tanh(e + f*x) + 4*a*f**2) - d*f*x*tanh(e + f*x)/(4*a*f**2*tanh(e + f*x) + 4*a*f**2) + d*f*x/(4*a*f**2*tanh(e + f*x) + 4*a*f**2) + d/(4*a*f**2*tanh(e + f*x) + 4*a*f**2), Ne(f, 0)), ((c*x + d*x**2/2)/(a*coth(e) + a), True))","A",0
19,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*coth(f*x+e)),x)","\frac{\int \frac{1}{c \coth{\left(e + f x \right)} + c + d x \coth{\left(e + f x \right)} + d x}\, dx}{a}"," ",0,"Integral(1/(c*coth(e + f*x) + c + d*x*coth(e + f*x) + d*x), x)/a","F",0
20,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+a*coth(f*x+e)),x)","\frac{\int \frac{1}{c^{2} \coth{\left(e + f x \right)} + c^{2} + 2 c d x \coth{\left(e + f x \right)} + 2 c d x + d^{2} x^{2} \coth{\left(e + f x \right)} + d^{2} x^{2}}\, dx}{a}"," ",0,"Integral(1/(c**2*coth(e + f*x) + c**2 + 2*c*d*x*coth(e + f*x) + 2*c*d*x + d**2*x**2*coth(e + f*x) + d**2*x**2), x)/a","F",0
21,0,0,0,0.000000," ","integrate(1/(d*x+c)**3/(a+a*coth(f*x+e)),x)","\frac{\int \frac{1}{c^{3} \coth{\left(e + f x \right)} + c^{3} + 3 c^{2} d x \coth{\left(e + f x \right)} + 3 c^{2} d x + 3 c d^{2} x^{2} \coth{\left(e + f x \right)} + 3 c d^{2} x^{2} + d^{3} x^{3} \coth{\left(e + f x \right)} + d^{3} x^{3}}\, dx}{a}"," ",0,"Integral(1/(c**3*coth(e + f*x) + c**3 + 3*c**2*d*x*coth(e + f*x) + 3*c**2*d*x + 3*c*d**2*x**2*coth(e + f*x) + 3*c*d**2*x**2 + d**3*x**3*coth(e + f*x) + d**3*x**3), x)/a","F",0
22,1,2193,0,2.898921," ","integrate((d*x+c)**3/(a+a*coth(f*x+e))**2,x)","\begin{cases} \frac{32 c^{3} f^{4} x \tanh^{2}{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{64 c^{3} f^{4} x \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{32 c^{3} f^{4} x}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{96 c^{3} f^{3} \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{64 c^{3} f^{3}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{48 c^{2} d f^{4} x^{2} \tanh^{2}{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{96 c^{2} d f^{4} x^{2} \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{48 c^{2} d f^{4} x^{2}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} - \frac{120 c^{2} d f^{3} x \tanh^{2}{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{48 c^{2} d f^{3} x \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{72 c^{2} d f^{3} x}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{120 c^{2} d f^{2} \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{96 c^{2} d f^{2}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{32 c d^{2} f^{4} x^{3} \tanh^{2}{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{64 c d^{2} f^{4} x^{3} \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{32 c d^{2} f^{4} x^{3}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} - \frac{120 c d^{2} f^{3} x^{2} \tanh^{2}{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{48 c d^{2} f^{3} x^{2} \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{72 c d^{2} f^{3} x^{2}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} - \frac{108 c d^{2} f^{2} x \tanh^{2}{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{24 c d^{2} f^{2} x \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{84 c d^{2} f^{2} x}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{108 c d^{2} f \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{96 c d^{2} f}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{8 d^{3} f^{4} x^{4} \tanh^{2}{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{16 d^{3} f^{4} x^{4} \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{8 d^{3} f^{4} x^{4}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} - \frac{40 d^{3} f^{3} x^{3} \tanh^{2}{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{16 d^{3} f^{3} x^{3} \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{24 d^{3} f^{3} x^{3}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} - \frac{54 d^{3} f^{2} x^{2} \tanh^{2}{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{12 d^{3} f^{2} x^{2} \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{42 d^{3} f^{2} x^{2}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} - \frac{51 d^{3} f x \tanh^{2}{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{6 d^{3} f x \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{45 d^{3} f x}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{51 d^{3} \tanh{\left(e + f x \right)}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} + \frac{48 d^{3}}{128 a^{2} f^{4} \tanh^{2}{\left(e + f x \right)} + 256 a^{2} f^{4} \tanh{\left(e + f x \right)} + 128 a^{2} f^{4}} & \text{for}\: f \neq 0 \\\frac{c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}}{\left(a \coth{\left(e \right)} + a\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((32*c**3*f**4*x*tanh(e + f*x)**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 64*c**3*f**4*x*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 32*c**3*f**4*x/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 96*c**3*f**3*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 64*c**3*f**3/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 48*c**2*d*f**4*x**2*tanh(e + f*x)**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 96*c**2*d*f**4*x**2*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 48*c**2*d*f**4*x**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) - 120*c**2*d*f**3*x*tanh(e + f*x)**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 48*c**2*d*f**3*x*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 72*c**2*d*f**3*x/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 120*c**2*d*f**2*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 96*c**2*d*f**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 32*c*d**2*f**4*x**3*tanh(e + f*x)**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 64*c*d**2*f**4*x**3*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 32*c*d**2*f**4*x**3/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) - 120*c*d**2*f**3*x**2*tanh(e + f*x)**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 48*c*d**2*f**3*x**2*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 72*c*d**2*f**3*x**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) - 108*c*d**2*f**2*x*tanh(e + f*x)**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 24*c*d**2*f**2*x*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 84*c*d**2*f**2*x/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 108*c*d**2*f*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 96*c*d**2*f/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 8*d**3*f**4*x**4*tanh(e + f*x)**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 16*d**3*f**4*x**4*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 8*d**3*f**4*x**4/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) - 40*d**3*f**3*x**3*tanh(e + f*x)**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 16*d**3*f**3*x**3*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 24*d**3*f**3*x**3/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) - 54*d**3*f**2*x**2*tanh(e + f*x)**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 12*d**3*f**2*x**2*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 42*d**3*f**2*x**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) - 51*d**3*f*x*tanh(e + f*x)**2/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 6*d**3*f*x*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 45*d**3*f*x/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 51*d**3*tanh(e + f*x)/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4) + 48*d**3/(128*a**2*f**4*tanh(e + f*x)**2 + 256*a**2*f**4*tanh(e + f*x) + 128*a**2*f**4), Ne(f, 0)), ((c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4)/(a*coth(e) + a)**2, True))","A",0
23,1,1353,0,2.011266," ","integrate((d*x+c)**2/(a+a*coth(f*x+e))**2,x)","\begin{cases} \frac{24 c^{2} f^{3} x \tanh^{2}{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{48 c^{2} f^{3} x \tanh{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{24 c^{2} f^{3} x}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{72 c^{2} f^{2} \tanh{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{48 c^{2} f^{2}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{24 c d f^{3} x^{2} \tanh^{2}{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{48 c d f^{3} x^{2} \tanh{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{24 c d f^{3} x^{2}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} - \frac{60 c d f^{2} x \tanh^{2}{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{24 c d f^{2} x \tanh{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{36 c d f^{2} x}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{60 c d f \tanh{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{48 c d f}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{8 d^{2} f^{3} x^{3} \tanh^{2}{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{16 d^{2} f^{3} x^{3} \tanh{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{8 d^{2} f^{3} x^{3}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} - \frac{30 d^{2} f^{2} x^{2} \tanh^{2}{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{12 d^{2} f^{2} x^{2} \tanh{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{18 d^{2} f^{2} x^{2}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} - \frac{27 d^{2} f x \tanh^{2}{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{6 d^{2} f x \tanh{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{21 d^{2} f x}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{27 d^{2} \tanh{\left(e + f x \right)}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} + \frac{24 d^{2}}{96 a^{2} f^{3} \tanh^{2}{\left(e + f x \right)} + 192 a^{2} f^{3} \tanh{\left(e + f x \right)} + 96 a^{2} f^{3}} & \text{for}\: f \neq 0 \\\frac{c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}}{\left(a \coth{\left(e \right)} + a\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((24*c**2*f**3*x*tanh(e + f*x)**2/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 48*c**2*f**3*x*tanh(e + f*x)/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 24*c**2*f**3*x/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 72*c**2*f**2*tanh(e + f*x)/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 48*c**2*f**2/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 24*c*d*f**3*x**2*tanh(e + f*x)**2/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 48*c*d*f**3*x**2*tanh(e + f*x)/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 24*c*d*f**3*x**2/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) - 60*c*d*f**2*x*tanh(e + f*x)**2/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 24*c*d*f**2*x*tanh(e + f*x)/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 36*c*d*f**2*x/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 60*c*d*f*tanh(e + f*x)/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 48*c*d*f/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 8*d**2*f**3*x**3*tanh(e + f*x)**2/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 16*d**2*f**3*x**3*tanh(e + f*x)/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 8*d**2*f**3*x**3/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) - 30*d**2*f**2*x**2*tanh(e + f*x)**2/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 12*d**2*f**2*x**2*tanh(e + f*x)/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 18*d**2*f**2*x**2/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) - 27*d**2*f*x*tanh(e + f*x)**2/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 6*d**2*f*x*tanh(e + f*x)/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 21*d**2*f*x/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 27*d**2*tanh(e + f*x)/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3) + 24*d**2/(96*a**2*f**3*tanh(e + f*x)**2 + 192*a**2*f**3*tanh(e + f*x) + 96*a**2*f**3), Ne(f, 0)), ((c**2*x + c*d*x**2 + d**2*x**3/3)/(a*coth(e) + a)**2, True))","A",0
24,1,700,0,1.598438," ","integrate((d*x+c)/(a+a*coth(f*x+e))**2,x)","\begin{cases} \frac{4 c f^{2} x \tanh^{2}{\left(e + f x \right)}}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} + \frac{8 c f^{2} x \tanh{\left(e + f x \right)}}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} + \frac{4 c f^{2} x}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} + \frac{12 c f \tanh{\left(e + f x \right)}}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} + \frac{8 c f}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} + \frac{2 d f^{2} x^{2} \tanh^{2}{\left(e + f x \right)}}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} + \frac{4 d f^{2} x^{2} \tanh{\left(e + f x \right)}}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} + \frac{2 d f^{2} x^{2}}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} - \frac{5 d f x \tanh^{2}{\left(e + f x \right)}}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} + \frac{2 d f x \tanh{\left(e + f x \right)}}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} + \frac{3 d f x}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} + \frac{5 d \tanh{\left(e + f x \right)}}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} + \frac{4 d}{16 a^{2} f^{2} \tanh^{2}{\left(e + f x \right)} + 32 a^{2} f^{2} \tanh{\left(e + f x \right)} + 16 a^{2} f^{2}} & \text{for}\: f \neq 0 \\\frac{c x + \frac{d x^{2}}{2}}{\left(a \coth{\left(e \right)} + a\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((4*c*f**2*x*tanh(e + f*x)**2/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) + 8*c*f**2*x*tanh(e + f*x)/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) + 4*c*f**2*x/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) + 12*c*f*tanh(e + f*x)/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) + 8*c*f/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) + 2*d*f**2*x**2*tanh(e + f*x)**2/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) + 4*d*f**2*x**2*tanh(e + f*x)/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) + 2*d*f**2*x**2/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) - 5*d*f*x*tanh(e + f*x)**2/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) + 2*d*f*x*tanh(e + f*x)/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) + 3*d*f*x/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) + 5*d*tanh(e + f*x)/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2) + 4*d/(16*a**2*f**2*tanh(e + f*x)**2 + 32*a**2*f**2*tanh(e + f*x) + 16*a**2*f**2), Ne(f, 0)), ((c*x + d*x**2/2)/(a*coth(e) + a)**2, True))","A",0
25,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*coth(f*x+e))**2,x)","\frac{\int \frac{1}{c \coth^{2}{\left(e + f x \right)} + 2 c \coth{\left(e + f x \right)} + c + d x \coth^{2}{\left(e + f x \right)} + 2 d x \coth{\left(e + f x \right)} + d x}\, dx}{a^{2}}"," ",0,"Integral(1/(c*coth(e + f*x)**2 + 2*c*coth(e + f*x) + c + d*x*coth(e + f*x)**2 + 2*d*x*coth(e + f*x) + d*x), x)/a**2","F",0
26,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+a*coth(f*x+e))**2,x)","\frac{\int \frac{1}{c^{2} \coth^{2}{\left(e + f x \right)} + 2 c^{2} \coth{\left(e + f x \right)} + c^{2} + 2 c d x \coth^{2}{\left(e + f x \right)} + 4 c d x \coth{\left(e + f x \right)} + 2 c d x + d^{2} x^{2} \coth^{2}{\left(e + f x \right)} + 2 d^{2} x^{2} \coth{\left(e + f x \right)} + d^{2} x^{2}}\, dx}{a^{2}}"," ",0,"Integral(1/(c**2*coth(e + f*x)**2 + 2*c**2*coth(e + f*x) + c**2 + 2*c*d*x*coth(e + f*x)**2 + 4*c*d*x*coth(e + f*x) + 2*c*d*x + d**2*x**2*coth(e + f*x)**2 + 2*d**2*x**2*coth(e + f*x) + d**2*x**2), x)/a**2","F",0
27,1,3918,0,4.282237," ","integrate((d*x+c)**3/(a+a*coth(f*x+e))**3,x)","\begin{cases} \frac{864 c^{3} f^{4} x \tanh^{3}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{2592 c^{3} f^{4} x \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{2592 c^{3} f^{4} x \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{864 c^{3} f^{4} x}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{6048 c^{3} f^{3} \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{7776 c^{3} f^{3} \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{2880 c^{3} f^{3}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{1296 c^{2} d f^{4} x^{2} \tanh^{3}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{3888 c^{2} d f^{4} x^{2} \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{3888 c^{2} d f^{4} x^{2} \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{1296 c^{2} d f^{4} x^{2}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{6264 c^{2} d f^{3} x \tanh^{3}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{648 c^{2} d f^{3} x \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{4536 c^{2} d f^{3} x \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{2376 c^{2} d f^{3} x}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{6264 c^{2} d f^{2} \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{9720 c^{2} d f^{2} \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{4032 c^{2} d f^{2}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{864 c d^{2} f^{4} x^{3} \tanh^{3}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{2592 c d^{2} f^{4} x^{3} \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{2592 c d^{2} f^{4} x^{3} \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{864 c d^{2} f^{4} x^{3}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{6264 c d^{2} f^{3} x^{2} \tanh^{3}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{648 c d^{2} f^{3} x^{2} \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{4536 c d^{2} f^{3} x^{2} \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{2376 c d^{2} f^{3} x^{2}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{5004 c d^{2} f^{2} x \tanh^{3}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{2484 c d^{2} f^{2} x \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{4428 c d^{2} f^{2} x \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{3060 c d^{2} f^{2} x}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{5004 c d^{2} f \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{8748 c d^{2} f \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{3936 c d^{2} f}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{216 d^{3} f^{4} x^{4} \tanh^{3}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{648 d^{3} f^{4} x^{4} \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{648 d^{3} f^{4} x^{4} \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{216 d^{3} f^{4} x^{4}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{2088 d^{3} f^{3} x^{3} \tanh^{3}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{216 d^{3} f^{3} x^{3} \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{1512 d^{3} f^{3} x^{3} \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{792 d^{3} f^{3} x^{3}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{2502 d^{3} f^{2} x^{2} \tanh^{3}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{1242 d^{3} f^{2} x^{2} \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{2214 d^{3} f^{2} x^{2} \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{1530 d^{3} f^{2} x^{2}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{2211 d^{3} f x \tanh^{3}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} - \frac{1629 d^{3} f x \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{2115 d^{3} f x \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{1725 d^{3} f x}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{2211 d^{3} \tanh^{2}{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{4131 d^{3} \tanh{\left(e + f x \right)}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} + \frac{1952 d^{3}}{6912 a^{3} f^{4} \tanh^{3}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh^{2}{\left(e + f x \right)} + 20736 a^{3} f^{4} \tanh{\left(e + f x \right)} + 6912 a^{3} f^{4}} & \text{for}\: f \neq 0 \\\frac{c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}}{\left(a \coth{\left(e \right)} + a\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((864*c**3*f**4*x*tanh(e + f*x)**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 2592*c**3*f**4*x*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 2592*c**3*f**4*x*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 864*c**3*f**4*x/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 6048*c**3*f**3*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 7776*c**3*f**3*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 2880*c**3*f**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 1296*c**2*d*f**4*x**2*tanh(e + f*x)**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 3888*c**2*d*f**4*x**2*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 3888*c**2*d*f**4*x**2*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 1296*c**2*d*f**4*x**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 6264*c**2*d*f**3*x*tanh(e + f*x)**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 648*c**2*d*f**3*x*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 4536*c**2*d*f**3*x*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 2376*c**2*d*f**3*x/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 6264*c**2*d*f**2*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 9720*c**2*d*f**2*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 4032*c**2*d*f**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 864*c*d**2*f**4*x**3*tanh(e + f*x)**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 2592*c*d**2*f**4*x**3*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 2592*c*d**2*f**4*x**3*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 864*c*d**2*f**4*x**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 6264*c*d**2*f**3*x**2*tanh(e + f*x)**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 648*c*d**2*f**3*x**2*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 4536*c*d**2*f**3*x**2*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 2376*c*d**2*f**3*x**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 5004*c*d**2*f**2*x*tanh(e + f*x)**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 2484*c*d**2*f**2*x*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 4428*c*d**2*f**2*x*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 3060*c*d**2*f**2*x/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 5004*c*d**2*f*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 8748*c*d**2*f*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 3936*c*d**2*f/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 216*d**3*f**4*x**4*tanh(e + f*x)**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 648*d**3*f**4*x**4*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 648*d**3*f**4*x**4*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 216*d**3*f**4*x**4/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 2088*d**3*f**3*x**3*tanh(e + f*x)**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 216*d**3*f**3*x**3*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 1512*d**3*f**3*x**3*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 792*d**3*f**3*x**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 2502*d**3*f**2*x**2*tanh(e + f*x)**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 1242*d**3*f**2*x**2*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 2214*d**3*f**2*x**2*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 1530*d**3*f**2*x**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 2211*d**3*f*x*tanh(e + f*x)**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) - 1629*d**3*f*x*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 2115*d**3*f*x*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 1725*d**3*f*x/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 2211*d**3*tanh(e + f*x)**2/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 4131*d**3*tanh(e + f*x)/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4) + 1952*d**3/(6912*a**3*f**4*tanh(e + f*x)**3 + 20736*a**3*f**4*tanh(e + f*x)**2 + 20736*a**3*f**4*tanh(e + f*x) + 6912*a**3*f**4), Ne(f, 0)), ((c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4)/(a*coth(e) + a)**3, True))","A",0
28,1,2443,0,3.139331," ","integrate((d*x+c)**2/(a+a*coth(f*x+e))**3,x)","\begin{cases} \frac{216 c^{2} f^{3} x \tanh^{3}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{648 c^{2} f^{3} x \tanh^{2}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{648 c^{2} f^{3} x \tanh{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{216 c^{2} f^{3} x}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{1512 c^{2} f^{2} \tanh^{2}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{1944 c^{2} f^{2} \tanh{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{720 c^{2} f^{2}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{216 c d f^{3} x^{2} \tanh^{3}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{648 c d f^{3} x^{2} \tanh^{2}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{648 c d f^{3} x^{2} \tanh{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{216 c d f^{3} x^{2}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} - \frac{1044 c d f^{2} x \tanh^{3}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} - \frac{108 c d f^{2} x \tanh^{2}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{756 c d f^{2} x \tanh{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{396 c d f^{2} x}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{1044 c d f \tanh^{2}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{1620 c d f \tanh{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{672 c d f}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{72 d^{2} f^{3} x^{3} \tanh^{3}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{216 d^{2} f^{3} x^{3} \tanh^{2}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{216 d^{2} f^{3} x^{3} \tanh{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{72 d^{2} f^{3} x^{3}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} - \frac{522 d^{2} f^{2} x^{2} \tanh^{3}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} - \frac{54 d^{2} f^{2} x^{2} \tanh^{2}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{378 d^{2} f^{2} x^{2} \tanh{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{198 d^{2} f^{2} x^{2}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} - \frac{417 d^{2} f x \tanh^{3}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} - \frac{207 d^{2} f x \tanh^{2}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{369 d^{2} f x \tanh{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{255 d^{2} f x}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{417 d^{2} \tanh^{2}{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{729 d^{2} \tanh{\left(e + f x \right)}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} + \frac{328 d^{2}}{1728 a^{3} f^{3} \tanh^{3}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh^{2}{\left(e + f x \right)} + 5184 a^{3} f^{3} \tanh{\left(e + f x \right)} + 1728 a^{3} f^{3}} & \text{for}\: f \neq 0 \\\frac{c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}}{\left(a \coth{\left(e \right)} + a\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((216*c**2*f**3*x*tanh(e + f*x)**3/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 648*c**2*f**3*x*tanh(e + f*x)**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 648*c**2*f**3*x*tanh(e + f*x)/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 216*c**2*f**3*x/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 1512*c**2*f**2*tanh(e + f*x)**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 1944*c**2*f**2*tanh(e + f*x)/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 720*c**2*f**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 216*c*d*f**3*x**2*tanh(e + f*x)**3/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 648*c*d*f**3*x**2*tanh(e + f*x)**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 648*c*d*f**3*x**2*tanh(e + f*x)/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 216*c*d*f**3*x**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) - 1044*c*d*f**2*x*tanh(e + f*x)**3/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) - 108*c*d*f**2*x*tanh(e + f*x)**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 756*c*d*f**2*x*tanh(e + f*x)/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 396*c*d*f**2*x/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 1044*c*d*f*tanh(e + f*x)**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 1620*c*d*f*tanh(e + f*x)/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 672*c*d*f/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 72*d**2*f**3*x**3*tanh(e + f*x)**3/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 216*d**2*f**3*x**3*tanh(e + f*x)**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 216*d**2*f**3*x**3*tanh(e + f*x)/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 72*d**2*f**3*x**3/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) - 522*d**2*f**2*x**2*tanh(e + f*x)**3/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) - 54*d**2*f**2*x**2*tanh(e + f*x)**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 378*d**2*f**2*x**2*tanh(e + f*x)/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 198*d**2*f**2*x**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) - 417*d**2*f*x*tanh(e + f*x)**3/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) - 207*d**2*f*x*tanh(e + f*x)**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 369*d**2*f*x*tanh(e + f*x)/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 255*d**2*f*x/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 417*d**2*tanh(e + f*x)**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 729*d**2*tanh(e + f*x)/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3) + 328*d**2/(1728*a**3*f**3*tanh(e + f*x)**3 + 5184*a**3*f**3*tanh(e + f*x)**2 + 5184*a**3*f**3*tanh(e + f*x) + 1728*a**3*f**3), Ne(f, 0)), ((c**2*x + c*d*x**2 + d**2*x**3/3)/(a*coth(e) + a)**3, True))","A",0
29,1,1287,0,2.396799," ","integrate((d*x+c)/(a+a*coth(f*x+e))**3,x)","\begin{cases} \frac{36 c f^{2} x \tanh^{3}{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{108 c f^{2} x \tanh^{2}{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{108 c f^{2} x \tanh{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{36 c f^{2} x}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{252 c f \tanh^{2}{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{324 c f \tanh{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{120 c f}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{18 d f^{2} x^{2} \tanh^{3}{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{54 d f^{2} x^{2} \tanh^{2}{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{54 d f^{2} x^{2} \tanh{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{18 d f^{2} x^{2}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} - \frac{87 d f x \tanh^{3}{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} - \frac{9 d f x \tanh^{2}{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{63 d f x \tanh{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{33 d f x}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{87 d \tanh^{2}{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{135 d \tanh{\left(e + f x \right)}}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} + \frac{56 d}{288 a^{3} f^{2} \tanh^{3}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh^{2}{\left(e + f x \right)} + 864 a^{3} f^{2} \tanh{\left(e + f x \right)} + 288 a^{3} f^{2}} & \text{for}\: f \neq 0 \\\frac{c x + \frac{d x^{2}}{2}}{\left(a \coth{\left(e \right)} + a\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((36*c*f**2*x*tanh(e + f*x)**3/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 108*c*f**2*x*tanh(e + f*x)**2/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 108*c*f**2*x*tanh(e + f*x)/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 36*c*f**2*x/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 252*c*f*tanh(e + f*x)**2/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 324*c*f*tanh(e + f*x)/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 120*c*f/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 18*d*f**2*x**2*tanh(e + f*x)**3/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 54*d*f**2*x**2*tanh(e + f*x)**2/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 54*d*f**2*x**2*tanh(e + f*x)/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 18*d*f**2*x**2/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) - 87*d*f*x*tanh(e + f*x)**3/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) - 9*d*f*x*tanh(e + f*x)**2/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 63*d*f*x*tanh(e + f*x)/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 33*d*f*x/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 87*d*tanh(e + f*x)**2/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 135*d*tanh(e + f*x)/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2) + 56*d/(288*a**3*f**2*tanh(e + f*x)**3 + 864*a**3*f**2*tanh(e + f*x)**2 + 864*a**3*f**2*tanh(e + f*x) + 288*a**3*f**2), Ne(f, 0)), ((c*x + d*x**2/2)/(a*coth(e) + a)**3, True))","A",0
30,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*coth(f*x+e))**3,x)","\frac{\int \frac{1}{c \coth^{3}{\left(e + f x \right)} + 3 c \coth^{2}{\left(e + f x \right)} + 3 c \coth{\left(e + f x \right)} + c + d x \coth^{3}{\left(e + f x \right)} + 3 d x \coth^{2}{\left(e + f x \right)} + 3 d x \coth{\left(e + f x \right)} + d x}\, dx}{a^{3}}"," ",0,"Integral(1/(c*coth(e + f*x)**3 + 3*c*coth(e + f*x)**2 + 3*c*coth(e + f*x) + c + d*x*coth(e + f*x)**3 + 3*d*x*coth(e + f*x)**2 + 3*d*x*coth(e + f*x) + d*x), x)/a**3","F",0
31,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+a*coth(f*x+e))**3,x)","\frac{\int \frac{1}{c^{2} \coth^{3}{\left(e + f x \right)} + 3 c^{2} \coth^{2}{\left(e + f x \right)} + 3 c^{2} \coth{\left(e + f x \right)} + c^{2} + 2 c d x \coth^{3}{\left(e + f x \right)} + 6 c d x \coth^{2}{\left(e + f x \right)} + 6 c d x \coth{\left(e + f x \right)} + 2 c d x + d^{2} x^{2} \coth^{3}{\left(e + f x \right)} + 3 d^{2} x^{2} \coth^{2}{\left(e + f x \right)} + 3 d^{2} x^{2} \coth{\left(e + f x \right)} + d^{2} x^{2}}\, dx}{a^{3}}"," ",0,"Integral(1/(c**2*coth(e + f*x)**3 + 3*c**2*coth(e + f*x)**2 + 3*c**2*coth(e + f*x) + c**2 + 2*c*d*x*coth(e + f*x)**3 + 6*c*d*x*coth(e + f*x)**2 + 6*c*d*x*coth(e + f*x) + 2*c*d*x + d**2*x**2*coth(e + f*x)**3 + 3*d**2*x**2*coth(e + f*x)**2 + 3*d**2*x**2*coth(e + f*x) + d**2*x**2), x)/a**3","F",0
32,0,0,0,0.000000," ","integrate((d*x+c)**m*(a+a*coth(f*x+e))**2,x)","a^{2} \left(\int 2 \left(c + d x\right)^{m} \coth{\left(e + f x \right)}\, dx + \int \left(c + d x\right)^{m} \coth^{2}{\left(e + f x \right)}\, dx + \int \left(c + d x\right)^{m}\, dx\right)"," ",0,"a**2*(Integral(2*(c + d*x)**m*coth(e + f*x), x) + Integral((c + d*x)**m*coth(e + f*x)**2, x) + Integral((c + d*x)**m, x))","F",0
33,0,0,0,0.000000," ","integrate((d*x+c)**m*(a+a*coth(f*x+e)),x)","a \left(\int \left(c + d x\right)^{m} \coth{\left(e + f x \right)}\, dx + \int \left(c + d x\right)^{m}\, dx\right)"," ",0,"a*(Integral((c + d*x)**m*coth(e + f*x), x) + Integral((c + d*x)**m, x))","F",0
34,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+a*coth(f*x+e)),x)","\frac{\int \frac{\left(c + d x\right)^{m}}{\coth{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"Integral((c + d*x)**m/(coth(e + f*x) + 1), x)/a","F",0
35,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+a*coth(f*x+e))**2,x)","\frac{\int \frac{\left(c + d x\right)^{m}}{\coth^{2}{\left(e + f x \right)} + 2 \coth{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral((c + d*x)**m/(coth(e + f*x)**2 + 2*coth(e + f*x) + 1), x)/a**2","F",0
36,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+a*coth(f*x+e))**3,x)","\frac{\int \frac{\left(c + d x\right)^{m}}{\coth^{3}{\left(e + f x \right)} + 3 \coth^{2}{\left(e + f x \right)} + 3 \coth{\left(e + f x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral((c + d*x)**m/(coth(e + f*x)**3 + 3*coth(e + f*x)**2 + 3*coth(e + f*x) + 1), x)/a**3","F",0
37,0,0,0,0.000000," ","integrate((d*x+c)**3*(a+b*coth(f*x+e)),x)","\int \left(a + b \coth{\left(e + f x \right)}\right) \left(c + d x\right)^{3}\, dx"," ",0,"Integral((a + b*coth(e + f*x))*(c + d*x)**3, x)","F",0
38,0,0,0,0.000000," ","integrate((d*x+c)**2*(a+b*coth(f*x+e)),x)","\int \left(a + b \coth{\left(e + f x \right)}\right) \left(c + d x\right)^{2}\, dx"," ",0,"Integral((a + b*coth(e + f*x))*(c + d*x)**2, x)","F",0
39,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*coth(f*x+e)),x)","\int \left(a + b \coth{\left(e + f x \right)}\right) \left(c + d x\right)\, dx"," ",0,"Integral((a + b*coth(e + f*x))*(c + d*x), x)","F",0
40,0,0,0,0.000000," ","integrate((a+b*coth(f*x+e))/(d*x+c),x)","\int \frac{a + b \coth{\left(e + f x \right)}}{c + d x}\, dx"," ",0,"Integral((a + b*coth(e + f*x))/(c + d*x), x)","F",0
41,0,0,0,0.000000," ","integrate((a+b*coth(f*x+e))/(d*x+c)**2,x)","\int \frac{a + b \coth{\left(e + f x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*coth(e + f*x))/(c + d*x)**2, x)","F",0
42,0,0,0,0.000000," ","integrate((d*x+c)**3*(a+b*coth(f*x+e))**2,x)","\int \left(a + b \coth{\left(e + f x \right)}\right)^{2} \left(c + d x\right)^{3}\, dx"," ",0,"Integral((a + b*coth(e + f*x))**2*(c + d*x)**3, x)","F",0
43,0,0,0,0.000000," ","integrate((d*x+c)**2*(a+b*coth(f*x+e))**2,x)","\int \left(a + b \coth{\left(e + f x \right)}\right)^{2} \left(c + d x\right)^{2}\, dx"," ",0,"Integral((a + b*coth(e + f*x))**2*(c + d*x)**2, x)","F",0
44,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*coth(f*x+e))**2,x)","\int \left(a + b \coth{\left(e + f x \right)}\right)^{2} \left(c + d x\right)\, dx"," ",0,"Integral((a + b*coth(e + f*x))**2*(c + d*x), x)","F",0
45,0,0,0,0.000000," ","integrate((a+b*coth(f*x+e))**2/(d*x+c),x)","\int \frac{\left(a + b \coth{\left(e + f x \right)}\right)^{2}}{c + d x}\, dx"," ",0,"Integral((a + b*coth(e + f*x))**2/(c + d*x), x)","F",0
46,0,0,0,0.000000," ","integrate((a+b*coth(f*x+e))**2/(d*x+c)**2,x)","\int \frac{\left(a + b \coth{\left(e + f x \right)}\right)^{2}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*coth(e + f*x))**2/(c + d*x)**2, x)","F",0
47,0,0,0,0.000000," ","integrate((d*x+c)**3*(a+b*coth(f*x+e))**3,x)","\int \left(a + b \coth{\left(e + f x \right)}\right)^{3} \left(c + d x\right)^{3}\, dx"," ",0,"Integral((a + b*coth(e + f*x))**3*(c + d*x)**3, x)","F",0
48,0,0,0,0.000000," ","integrate((d*x+c)**2*(a+b*coth(f*x+e))**3,x)","\int \left(a + b \coth{\left(e + f x \right)}\right)^{3} \left(c + d x\right)^{2}\, dx"," ",0,"Integral((a + b*coth(e + f*x))**3*(c + d*x)**2, x)","F",0
49,0,0,0,0.000000," ","integrate((d*x+c)*(a+b*coth(f*x+e))**3,x)","\int \left(a + b \coth{\left(e + f x \right)}\right)^{3} \left(c + d x\right)\, dx"," ",0,"Integral((a + b*coth(e + f*x))**3*(c + d*x), x)","F",0
50,0,0,0,0.000000," ","integrate((a+b*coth(f*x+e))**3/(d*x+c),x)","\int \frac{\left(a + b \coth{\left(e + f x \right)}\right)^{3}}{c + d x}\, dx"," ",0,"Integral((a + b*coth(e + f*x))**3/(c + d*x), x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*coth(f*x+e))**3/(d*x+c)**2,x)","\int \frac{\left(a + b \coth{\left(e + f x \right)}\right)^{3}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*coth(e + f*x))**3/(c + d*x)**2, x)","F",0
52,0,0,0,0.000000," ","integrate((d*x+c)**3/(a+b*coth(f*x+e)),x)","\int \frac{\left(c + d x\right)^{3}}{a + b \coth{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)**3/(a + b*coth(e + f*x)), x)","F",0
53,0,0,0,0.000000," ","integrate((d*x+c)**2/(a+b*coth(f*x+e)),x)","\int \frac{\left(c + d x\right)^{2}}{a + b \coth{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)**2/(a + b*coth(e + f*x)), x)","F",0
54,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*coth(f*x+e)),x)","\int \frac{c + d x}{a + b \coth{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)/(a + b*coth(e + f*x)), x)","F",0
55,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*coth(f*x+e)),x)","\int \frac{1}{\left(a + b \coth{\left(e + f x \right)}\right) \left(c + d x\right)}\, dx"," ",0,"Integral(1/((a + b*coth(e + f*x))*(c + d*x)), x)","F",0
56,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+b*coth(f*x+e)),x)","\int \frac{1}{\left(a + b \coth{\left(e + f x \right)}\right) \left(c + d x\right)^{2}}\, dx"," ",0,"Integral(1/((a + b*coth(e + f*x))*(c + d*x)**2), x)","F",0
57,0,0,0,0.000000," ","integrate((d*x+c)**3/(a+b*coth(f*x+e))**2,x)","\int \frac{\left(c + d x\right)^{3}}{\left(a + b \coth{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*x)**3/(a + b*coth(e + f*x))**2, x)","F",0
58,0,0,0,0.000000," ","integrate((d*x+c)**2/(a+b*coth(f*x+e))**2,x)","\int \frac{\left(c + d x\right)^{2}}{\left(a + b \coth{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*x)**2/(a + b*coth(e + f*x))**2, x)","F",0
59,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*coth(f*x+e))**2,x)","\int \frac{c + d x}{\left(a + b \coth{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*x)/(a + b*coth(e + f*x))**2, x)","F",0
60,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*coth(f*x+e))**2,x)","\int \frac{1}{\left(a + b \coth{\left(e + f x \right)}\right)^{2} \left(c + d x\right)}\, dx"," ",0,"Integral(1/((a + b*coth(e + f*x))**2*(c + d*x)), x)","F",0
61,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+b*coth(f*x+e))**2,x)","\int \frac{1}{\left(a + b \coth{\left(e + f x \right)}\right)^{2} \left(c + d x\right)^{2}}\, dx"," ",0,"Integral(1/((a + b*coth(e + f*x))**2*(c + d*x)**2), x)","F",0
