1,-1,0,0,0.000000," ","integrate((a+b*coth(d*x+c)**2)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2,1,264,0,119.402292," ","integrate((a+b*coth(d*x+c)**2)**4,x)","\begin{cases} a^{4} x + \tilde{\infty} a^{3} b x + \tilde{\infty} a^{2} b^{2} x + \tilde{\infty} a b^{3} x + \tilde{\infty} b^{4} x & \text{for}\: c = \log{\left(- e^{- d x} \right)} \vee c = \log{\left(e^{- d x} \right)} \\x \left(a + b \coth^{2}{\left(c \right)}\right)^{4} & \text{for}\: d = 0 \\a^{4} x + 4 a^{3} b x - \frac{4 a^{3} b}{d \tanh{\left(c + d x \right)}} + 6 a^{2} b^{2} x - \frac{6 a^{2} b^{2}}{d \tanh{\left(c + d x \right)}} - \frac{2 a^{2} b^{2}}{d \tanh^{3}{\left(c + d x \right)}} + 4 a b^{3} x - \frac{4 a b^{3}}{d \tanh{\left(c + d x \right)}} - \frac{4 a b^{3}}{3 d \tanh^{3}{\left(c + d x \right)}} - \frac{4 a b^{3}}{5 d \tanh^{5}{\left(c + d x \right)}} + b^{4} x - \frac{b^{4}}{d \tanh{\left(c + d x \right)}} - \frac{b^{4}}{3 d \tanh^{3}{\left(c + d x \right)}} - \frac{b^{4}}{5 d \tanh^{5}{\left(c + d x \right)}} - \frac{b^{4}}{7 d \tanh^{7}{\left(c + d x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**4*x + zoo*a**3*b*x + zoo*a**2*b**2*x + zoo*a*b**3*x + zoo*b**4*x, Eq(c, log(exp(-d*x))) | Eq(c, log(-exp(-d*x)))), (x*(a + b*coth(c)**2)**4, Eq(d, 0)), (a**4*x + 4*a**3*b*x - 4*a**3*b/(d*tanh(c + d*x)) + 6*a**2*b**2*x - 6*a**2*b**2/(d*tanh(c + d*x)) - 2*a**2*b**2/(d*tanh(c + d*x)**3) + 4*a*b**3*x - 4*a*b**3/(d*tanh(c + d*x)) - 4*a*b**3/(3*d*tanh(c + d*x)**3) - 4*a*b**3/(5*d*tanh(c + d*x)**5) + b**4*x - b**4/(d*tanh(c + d*x)) - b**4/(3*d*tanh(c + d*x)**3) - b**4/(5*d*tanh(c + d*x)**5) - b**4/(7*d*tanh(c + d*x)**7), True))","A",0
3,1,170,0,27.591339," ","integrate((a+b*coth(d*x+c)**2)**3,x)","\begin{cases} a^{3} x + \tilde{\infty} a^{2} b x + \tilde{\infty} a b^{2} x + \tilde{\infty} b^{3} x & \text{for}\: c = \log{\left(- e^{- d x} \right)} \vee c = \log{\left(e^{- d x} \right)} \\x \left(a + b \coth^{2}{\left(c \right)}\right)^{3} & \text{for}\: d = 0 \\a^{3} x + 3 a^{2} b x - \frac{3 a^{2} b}{d \tanh{\left(c + d x \right)}} + 3 a b^{2} x - \frac{3 a b^{2}}{d \tanh{\left(c + d x \right)}} - \frac{a b^{2}}{d \tanh^{3}{\left(c + d x \right)}} + b^{3} x - \frac{b^{3}}{d \tanh{\left(c + d x \right)}} - \frac{b^{3}}{3 d \tanh^{3}{\left(c + d x \right)}} - \frac{b^{3}}{5 d \tanh^{5}{\left(c + d x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x + zoo*a**2*b*x + zoo*a*b**2*x + zoo*b**3*x, Eq(c, log(exp(-d*x))) | Eq(c, log(-exp(-d*x)))), (x*(a + b*coth(c)**2)**3, Eq(d, 0)), (a**3*x + 3*a**2*b*x - 3*a**2*b/(d*tanh(c + d*x)) + 3*a*b**2*x - 3*a*b**2/(d*tanh(c + d*x)) - a*b**2/(d*tanh(c + d*x)**3) + b**3*x - b**3/(d*tanh(c + d*x)) - b**3/(3*d*tanh(c + d*x)**3) - b**3/(5*d*tanh(c + d*x)**5), True))","A",0
4,1,102,0,5.794886," ","integrate((a+b*coth(d*x+c)**2)**2,x)","\begin{cases} a^{2} x + \tilde{\infty} a b x + \tilde{\infty} b^{2} x & \text{for}\: c = \log{\left(- e^{- d x} \right)} \vee c = \log{\left(e^{- d x} \right)} \\x \left(a + b \coth^{2}{\left(c \right)}\right)^{2} & \text{for}\: d = 0 \\a^{2} x + 2 a b x - \frac{2 a b}{d \tanh{\left(c + d x \right)}} + b^{2} x - \frac{b^{2}}{d \tanh{\left(c + d x \right)}} - \frac{b^{2}}{3 d \tanh^{3}{\left(c + d x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x + zoo*a*b*x + zoo*b**2*x, Eq(c, log(exp(-d*x))) | Eq(c, log(-exp(-d*x)))), (x*(a + b*coth(c)**2)**2, Eq(d, 0)), (a**2*x + 2*a*b*x - 2*a*b/(d*tanh(c + d*x)) + b**2*x - b**2/(d*tanh(c + d*x)) - b**2/(3*d*tanh(c + d*x)**3), True))","A",0
5,1,294,0,9.715302," ","integrate(1/(a+b*coth(d*x+c)**2),x)","\begin{cases} \frac{\tilde{\infty} x}{\coth^{2}{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\- \frac{d x \tanh^{2}{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} + \frac{d x}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} - \frac{\tanh{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} & \text{for}\: a = - b \\\frac{x}{a} & \text{for}\: b = 0 \\\frac{x}{a + b \coth^{2}{\left(c \right)}} & \text{for}\: d = 0 \\\frac{x - \frac{\tanh{\left(c + d x \right)}}{d}}{b} & \text{for}\: a = 0 \\\frac{2 i a \sqrt{b} d x \sqrt{\frac{1}{a}}}{2 i a^{2} \sqrt{b} d \sqrt{\frac{1}{a}} + 2 i a b^{\frac{3}{2}} d \sqrt{\frac{1}{a}}} - \frac{b \log{\left(- i \sqrt{b} \sqrt{\frac{1}{a}} + \tanh{\left(c + d x \right)} \right)}}{2 i a^{2} \sqrt{b} d \sqrt{\frac{1}{a}} + 2 i a b^{\frac{3}{2}} d \sqrt{\frac{1}{a}}} + \frac{b \log{\left(i \sqrt{b} \sqrt{\frac{1}{a}} + \tanh{\left(c + d x \right)} \right)}}{2 i a^{2} \sqrt{b} d \sqrt{\frac{1}{a}} + 2 i a b^{\frac{3}{2}} d \sqrt{\frac{1}{a}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x/coth(c)**2, Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (-d*x*tanh(c + d*x)**2/(2*b*d*tanh(c + d*x)**2 - 2*b*d) + d*x/(2*b*d*tanh(c + d*x)**2 - 2*b*d) - tanh(c + d*x)/(2*b*d*tanh(c + d*x)**2 - 2*b*d), Eq(a, -b)), (x/a, Eq(b, 0)), (x/(a + b*coth(c)**2), Eq(d, 0)), ((x - tanh(c + d*x)/d)/b, Eq(a, 0)), (2*I*a*sqrt(b)*d*x*sqrt(1/a)/(2*I*a**2*sqrt(b)*d*sqrt(1/a) + 2*I*a*b**(3/2)*d*sqrt(1/a)) - b*log(-I*sqrt(b)*sqrt(1/a) + tanh(c + d*x))/(2*I*a**2*sqrt(b)*d*sqrt(1/a) + 2*I*a*b**(3/2)*d*sqrt(1/a)) + b*log(I*sqrt(b)*sqrt(1/a) + tanh(c + d*x))/(2*I*a**2*sqrt(b)*d*sqrt(1/a) + 2*I*a*b**(3/2)*d*sqrt(1/a)), True))","A",0
6,-1,0,0,0.000000," ","integrate(1/(a+b*coth(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,-1,0,0,0.000000," ","integrate(1/(a+b*coth(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,-1,0,0,0.000000," ","integrate(1/(a+b*coth(d*x+c)**2)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
9,1,34,0,0.523897," ","integrate(1/(1-2*coth(x)**2),x)","- x - \frac{\sqrt{2} \log{\left(\tanh{\left(x \right)} - \sqrt{2} \right)}}{2} + \frac{\sqrt{2} \log{\left(\tanh{\left(x \right)} + \sqrt{2} \right)}}{2}"," ",0,"-x - sqrt(2)*log(tanh(x) - sqrt(2))/2 + sqrt(2)*log(tanh(x) + sqrt(2))/2","A",0
10,0,0,0,0.000000," ","integrate((1-coth(x)**2)**(1/2),x)","\int \sqrt{1 - \coth^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(1 - coth(x)**2), x)","F",0
11,0,0,0,0.000000," ","integrate((-1+coth(x)**2)**(1/2),x)","\int \sqrt{\coth^{2}{\left(x \right)} - 1}\, dx"," ",0,"Integral(sqrt(coth(x)**2 - 1), x)","F",0
12,0,0,0,0.000000," ","integrate((1-coth(x)**2)**(3/2),x)","\int \left(1 - \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((1 - coth(x)**2)**(3/2), x)","F",0
13,0,0,0,0.000000," ","integrate((-1+coth(x)**2)**(3/2),x)","\int \left(\coth^{2}{\left(x \right)} - 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((coth(x)**2 - 1)**(3/2), x)","F",0
14,0,0,0,0.000000," ","integrate(1/(1-coth(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{1 - \coth^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(1 - coth(x)**2), x)","F",0
15,0,0,0,0.000000," ","integrate(1/(-1+coth(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{\coth^{2}{\left(x \right)} - 1}}\, dx"," ",0,"Integral(1/sqrt(coth(x)**2 - 1), x)","F",0
16,0,0,0,0.000000," ","integrate(coth(x)**3*(a+b*coth(x)**2)**(1/2),x)","\int \sqrt{a + b \coth^{2}{\left(x \right)}} \coth^{3}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*coth(x)**2)*coth(x)**3, x)","F",0
17,0,0,0,0.000000," ","integrate(coth(x)**2*(a+b*coth(x)**2)**(1/2),x)","\int \sqrt{a + b \coth^{2}{\left(x \right)}} \coth^{2}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*coth(x)**2)*coth(x)**2, x)","F",0
18,0,0,0,0.000000," ","integrate(coth(x)*(a+b*coth(x)**2)**(1/2),x)","\int \sqrt{a + b \coth^{2}{\left(x \right)}} \coth{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*coth(x)**2)*coth(x), x)","F",0
19,0,0,0,0.000000," ","integrate((a+b*coth(x)**2)**(1/2),x)","\int \sqrt{a + b \coth^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*coth(x)**2), x)","F",0
20,0,0,0,0.000000," ","integrate((a+b*coth(x)**2)**(1/2)*tanh(x),x)","\int \sqrt{a + b \coth^{2}{\left(x \right)}} \tanh{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*coth(x)**2)*tanh(x), x)","F",0
21,0,0,0,0.000000," ","integrate((a+b*coth(x)**2)**(1/2)*tanh(x)**2,x)","\int \sqrt{a + b \coth^{2}{\left(x \right)}} \tanh^{2}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*coth(x)**2)*tanh(x)**2, x)","F",0
22,0,0,0,0.000000," ","integrate(coth(x)**3*(a+b*coth(x)**2)**(3/2),x)","\int \left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}} \coth^{3}{\left(x \right)}\, dx"," ",0,"Integral((a + b*coth(x)**2)**(3/2)*coth(x)**3, x)","F",0
23,0,0,0,0.000000," ","integrate(coth(x)**2*(a+b*coth(x)**2)**(3/2),x)","\int \left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}} \coth^{2}{\left(x \right)}\, dx"," ",0,"Integral((a + b*coth(x)**2)**(3/2)*coth(x)**2, x)","F",0
24,0,0,0,0.000000," ","integrate(coth(x)*(a+b*coth(x)**2)**(3/2),x)","\int \left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}} \coth{\left(x \right)}\, dx"," ",0,"Integral((a + b*coth(x)**2)**(3/2)*coth(x), x)","F",0
25,0,0,0,0.000000," ","integrate((a+b*coth(x)**2)**(3/2),x)","\int \left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*coth(x)**2)**(3/2), x)","F",0
26,0,0,0,0.000000," ","integrate((a+b*coth(x)**2)**(3/2)*tanh(x),x)","\int \left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}} \tanh{\left(x \right)}\, dx"," ",0,"Integral((a + b*coth(x)**2)**(3/2)*tanh(x), x)","F",0
27,0,0,0,0.000000," ","integrate((a+b*coth(x)**2)**(3/2)*tanh(x)**2,x)","\int \left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}} \tanh^{2}{\left(x \right)}\, dx"," ",0,"Integral((a + b*coth(x)**2)**(3/2)*tanh(x)**2, x)","F",0
28,0,0,0,0.000000," ","integrate((1+coth(x)**2)**(1/2),x)","\int \sqrt{\coth^{2}{\left(x \right)} + 1}\, dx"," ",0,"Integral(sqrt(coth(x)**2 + 1), x)","F",0
29,0,0,0,0.000000," ","integrate((-1-coth(x)**2)**(1/2),x)","\int \sqrt{- \coth^{2}{\left(x \right)} - 1}\, dx"," ",0,"Integral(sqrt(-coth(x)**2 - 1), x)","F",0
30,0,0,0,0.000000," ","integrate((1+coth(x)**2)**(3/2),x)","\int \left(\coth^{2}{\left(x \right)} + 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((coth(x)**2 + 1)**(3/2), x)","F",0
31,0,0,0,0.000000," ","integrate((-1-coth(x)**2)**(3/2),x)","\int \left(- \coth^{2}{\left(x \right)} - 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((-coth(x)**2 - 1)**(3/2), x)","F",0
32,0,0,0,0.000000," ","integrate(coth(x)**3/(a+b*coth(x)**2)**(1/2),x)","\int \frac{\coth^{3}{\left(x \right)}}{\sqrt{a + b \coth^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(coth(x)**3/sqrt(a + b*coth(x)**2), x)","F",0
33,0,0,0,0.000000," ","integrate(coth(x)**2/(a+b*coth(x)**2)**(1/2),x)","\int \frac{\coth^{2}{\left(x \right)}}{\sqrt{a + b \coth^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(coth(x)**2/sqrt(a + b*coth(x)**2), x)","F",0
34,0,0,0,0.000000," ","integrate(coth(x)/(a+b*coth(x)**2)**(1/2),x)","\int \frac{\coth{\left(x \right)}}{\sqrt{a + b \coth^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(coth(x)/sqrt(a + b*coth(x)**2), x)","F",0
35,0,0,0,0.000000," ","integrate(1/(a+b*coth(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{a + b \coth^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*coth(x)**2), x)","F",0
36,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*coth(x)**2)**(1/2),x)","\int \frac{\tanh{\left(x \right)}}{\sqrt{a + b \coth^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)/sqrt(a + b*coth(x)**2), x)","F",0
37,0,0,0,0.000000," ","integrate(tanh(x)**2/(a+b*coth(x)**2)**(1/2),x)","\int \frac{\tanh^{2}{\left(x \right)}}{\sqrt{a + b \coth^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)**2/sqrt(a + b*coth(x)**2), x)","F",0
38,0,0,0,0.000000," ","integrate(coth(x)**3/(a+b*coth(x)**2)**(3/2),x)","\int \frac{\coth^{3}{\left(x \right)}}{\left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(coth(x)**3/(a + b*coth(x)**2)**(3/2), x)","F",0
39,0,0,0,0.000000," ","integrate(coth(x)**2/(a+b*coth(x)**2)**(3/2),x)","\int \frac{\coth^{2}{\left(x \right)}}{\left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(coth(x)**2/(a + b*coth(x)**2)**(3/2), x)","F",0
40,0,0,0,0.000000," ","integrate(coth(x)/(a+b*coth(x)**2)**(3/2),x)","\int \frac{\coth{\left(x \right)}}{\left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(coth(x)/(a + b*coth(x)**2)**(3/2), x)","F",0
41,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*coth(x)**2)**(3/2),x)","\int \frac{\tanh{\left(x \right)}}{\left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tanh(x)/(a + b*coth(x)**2)**(3/2), x)","F",0
42,0,0,0,0.000000," ","integrate(tanh(x)**2/(a+b*coth(x)**2)**(3/2),x)","\int \frac{\tanh^{2}{\left(x \right)}}{\left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tanh(x)**2/(a + b*coth(x)**2)**(3/2), x)","F",0
43,0,0,0,0.000000," ","integrate(coth(x)**3/(a+b*coth(x)**2)**(5/2),x)","\int \frac{\coth^{3}{\left(x \right)}}{\left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(coth(x)**3/(a + b*coth(x)**2)**(5/2), x)","F",0
44,0,0,0,0.000000," ","integrate(coth(x)**2/(a+b*coth(x)**2)**(5/2),x)","\int \frac{\coth^{2}{\left(x \right)}}{\left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(coth(x)**2/(a + b*coth(x)**2)**(5/2), x)","F",0
45,0,0,0,0.000000," ","integrate(coth(x)/(a+b*coth(x)**2)**(5/2),x)","\int \frac{\coth{\left(x \right)}}{\left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(coth(x)/(a + b*coth(x)**2)**(5/2), x)","F",0
46,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*coth(x)**2)**(5/2),x)","\int \frac{\tanh{\left(x \right)}}{\left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tanh(x)/(a + b*coth(x)**2)**(5/2), x)","F",0
47,0,0,0,0.000000," ","integrate(tanh(x)**2/(a+b*coth(x)**2)**(5/2),x)","\int \frac{\tanh^{2}{\left(x \right)}}{\left(a + b \coth^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tanh(x)**2/(a + b*coth(x)**2)**(5/2), x)","F",0
48,0,0,0,0.000000," ","integrate(1/(1+coth(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{\coth^{2}{\left(x \right)} + 1}}\, dx"," ",0,"Integral(1/sqrt(coth(x)**2 + 1), x)","F",0
49,0,0,0,0.000000," ","integrate(1/(-1-coth(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{- \coth^{2}{\left(x \right)} - 1}}\, dx"," ",0,"Integral(1/sqrt(-coth(x)**2 - 1), x)","F",0
50,1,102,0,0.982297," ","integrate(1/(1+coth(x)**3),x)","\frac{9 x \tanh{\left(x \right)}}{18 \tanh{\left(x \right)} + 18} + \frac{9 x}{18 \tanh{\left(x \right)} + 18} - \frac{4 \sqrt{3} \tanh{\left(x \right)} \operatorname{atan}{\left(\frac{2 \sqrt{3} \tanh{\left(x \right)}}{3} - \frac{\sqrt{3}}{3} \right)}}{18 \tanh{\left(x \right)} + 18} - \frac{4 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \tanh{\left(x \right)}}{3} - \frac{\sqrt{3}}{3} \right)}}{18 \tanh{\left(x \right)} + 18} + \frac{3}{18 \tanh{\left(x \right)} + 18}"," ",0,"9*x*tanh(x)/(18*tanh(x) + 18) + 9*x/(18*tanh(x) + 18) - 4*sqrt(3)*tanh(x)*atan(2*sqrt(3)*tanh(x)/3 - sqrt(3)/3)/(18*tanh(x) + 18) - 4*sqrt(3)*atan(2*sqrt(3)*tanh(x)/3 - sqrt(3)/3)/(18*tanh(x) + 18) + 3/(18*tanh(x) + 18)","B",0
51,0,0,0,0.000000," ","integrate(coth(x)*(a+b*coth(x)**4)**(1/2),x)","\int \sqrt{a + b \coth^{4}{\left(x \right)}} \coth{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*coth(x)**4)*coth(x), x)","F",0
52,0,0,0,0.000000," ","integrate(coth(x)/(a+b*coth(x)**4)**(1/2),x)","\int \frac{\coth{\left(x \right)}}{\sqrt{a + b \coth^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(coth(x)/sqrt(a + b*coth(x)**4), x)","F",0
53,0,0,0,0.000000," ","integrate(coth(x)/(a+b*coth(x)**4)**(3/2),x)","\int \frac{\coth{\left(x \right)}}{\left(a + b \coth^{4}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(coth(x)/(a + b*coth(x)**4)**(3/2), x)","F",0
