1,1,39,0,0.495529," ","integrate(tanh(b*x+a)**6,x)","\begin{cases} x - \frac{\tanh^{5}{\left(a + b x \right)}}{5 b} - \frac{\tanh^{3}{\left(a + b x \right)}}{3 b} - \frac{\tanh{\left(a + b x \right)}}{b} & \text{for}\: b \neq 0 \\x \tanh^{6}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x - tanh(a + b*x)**5/(5*b) - tanh(a + b*x)**3/(3*b) - tanh(a + b*x)/b, Ne(b, 0)), (x*tanh(a)**6, True))","A",0
2,1,42,0,0.372181," ","integrate(tanh(b*x+a)**5,x)","\begin{cases} x - \frac{\log{\left(\tanh{\left(a + b x \right)} + 1 \right)}}{b} - \frac{\tanh^{4}{\left(a + b x \right)}}{4 b} - \frac{\tanh^{2}{\left(a + b x \right)}}{2 b} & \text{for}\: b \neq 0 \\x \tanh^{5}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x - log(tanh(a + b*x) + 1)/b - tanh(a + b*x)**4/(4*b) - tanh(a + b*x)**2/(2*b), Ne(b, 0)), (x*tanh(a)**5, True))","A",0
3,1,27,0,0.263375," ","integrate(tanh(b*x+a)**4,x)","\begin{cases} x - \frac{\tanh^{3}{\left(a + b x \right)}}{3 b} - \frac{\tanh{\left(a + b x \right)}}{b} & \text{for}\: b \neq 0 \\x \tanh^{4}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x - tanh(a + b*x)**3/(3*b) - tanh(a + b*x)/b, Ne(b, 0)), (x*tanh(a)**4, True))","A",0
4,1,31,0,0.191251," ","integrate(tanh(b*x+a)**3,x)","\begin{cases} x - \frac{\log{\left(\tanh{\left(a + b x \right)} + 1 \right)}}{b} - \frac{\tanh^{2}{\left(a + b x \right)}}{2 b} & \text{for}\: b \neq 0 \\x \tanh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x - log(tanh(a + b*x) + 1)/b - tanh(a + b*x)**2/(2*b), Ne(b, 0)), (x*tanh(a)**3, True))","A",0
5,1,15,0,0.150604," ","integrate(tanh(b*x+a)**2,x)","\begin{cases} x - \frac{\tanh{\left(a + b x \right)}}{b} & \text{for}\: b \neq 0 \\x \tanh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x - tanh(a + b*x)/b, Ne(b, 0)), (x*tanh(a)**2, True))","A",0
6,1,17,0,0.132938," ","integrate(tanh(b*x+a),x)","\begin{cases} x - \frac{\log{\left(\tanh{\left(a + b x \right)} + 1 \right)}}{b} & \text{for}\: b \neq 0 \\x \tanh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x - log(tanh(a + b*x) + 1)/b, Ne(b, 0)), (x*tanh(a), True))","A",0
7,1,27,0,0.355642," ","integrate(coth(b*x+a),x)","\begin{cases} x - \frac{\log{\left(\tanh{\left(a + b x \right)} + 1 \right)}}{b} + \frac{\log{\left(\tanh{\left(a + b x \right)} \right)}}{b} & \text{for}\: b \neq 0 \\x \coth{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x - log(tanh(a + b*x) + 1)/b + log(tanh(a + b*x))/b, Ne(b, 0)), (x*coth(a), True))","A",0
8,1,36,0,1.256287," ","integrate(coth(b*x+a)**2,x)","\begin{cases} x \coth^{2}{\left(a \right)} & \text{for}\: b = 0 \\\tilde{\infty} x & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\x - \frac{1}{b \tanh{\left(a + b x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*coth(a)**2, Eq(b, 0)), (zoo*x, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (x - 1/(b*tanh(a + b*x)), True))","A",0
9,1,61,0,2.485213," ","integrate(coth(b*x+a)**3,x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\x \coth^{3}{\left(a \right)} & \text{for}\: b = 0 \\x - \frac{\log{\left(\tanh{\left(a + b x \right)} + 1 \right)}}{b} + \frac{\log{\left(\tanh{\left(a + b x \right)} \right)}}{b} - \frac{1}{2 b \tanh^{2}{\left(a + b x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (x*coth(a)**3, Eq(b, 0)), (x - log(tanh(a + b*x) + 1)/b + log(tanh(a + b*x))/b - 1/(2*b*tanh(a + b*x)**2), True))","A",0
10,1,49,0,5.485155," ","integrate(coth(b*x+a)**4,x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\x \coth^{4}{\left(a \right)} & \text{for}\: b = 0 \\x - \frac{1}{b \tanh{\left(a + b x \right)}} - \frac{1}{3 b \tanh^{3}{\left(a + b x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (x*coth(a)**4, Eq(b, 0)), (x - 1/(b*tanh(a + b*x)) - 1/(3*b*tanh(a + b*x)**3), True))","A",0
11,1,75,0,12.169628," ","integrate(coth(b*x+a)**5,x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\x \coth^{5}{\left(a \right)} & \text{for}\: b = 0 \\x - \frac{\log{\left(\tanh{\left(a + b x \right)} + 1 \right)}}{b} + \frac{\log{\left(\tanh{\left(a + b x \right)} \right)}}{b} - \frac{1}{2 b \tanh^{2}{\left(a + b x \right)}} - \frac{1}{4 b \tanh^{4}{\left(a + b x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (x*coth(a)**5, Eq(b, 0)), (x - log(tanh(a + b*x) + 1)/b + log(tanh(a + b*x))/b - 1/(2*b*tanh(a + b*x)**2) - 1/(4*b*tanh(a + b*x)**4), True))","A",0
12,1,63,0,27.109474," ","integrate(coth(b*x+a)**6,x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\x \coth^{6}{\left(a \right)} & \text{for}\: b = 0 \\x - \frac{1}{b \tanh{\left(a + b x \right)}} - \frac{1}{3 b \tanh^{3}{\left(a + b x \right)}} - \frac{1}{5 b \tanh^{5}{\left(a + b x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (x*coth(a)**6, Eq(b, 0)), (x - 1/(b*tanh(a + b*x)) - 1/(3*b*tanh(a + b*x)**3) - 1/(5*b*tanh(a + b*x)**5), True))","A",0
13,0,0,0,0.000000," ","integrate((b*tanh(d*x+c))**(7/2),x)","\int \left(b \tanh{\left(c + d x \right)}\right)^{\frac{7}{2}}\, dx"," ",0,"Integral((b*tanh(c + d*x))**(7/2), x)","F",0
14,0,0,0,0.000000," ","integrate((b*tanh(d*x+c))**(5/2),x)","\int \left(b \tanh{\left(c + d x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((b*tanh(c + d*x))**(5/2), x)","F",0
15,0,0,0,0.000000," ","integrate((b*tanh(d*x+c))**(3/2),x)","\int \left(b \tanh{\left(c + d x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((b*tanh(c + d*x))**(3/2), x)","F",0
16,0,0,0,0.000000," ","integrate((b*tanh(d*x+c))**(1/2),x)","\int \sqrt{b \tanh{\left(c + d x \right)}}\, dx"," ",0,"Integral(sqrt(b*tanh(c + d*x)), x)","F",0
17,0,0,0,0.000000," ","integrate(1/(b*tanh(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{b \tanh{\left(c + d x \right)}}}\, dx"," ",0,"Integral(1/sqrt(b*tanh(c + d*x)), x)","F",0
18,0,0,0,0.000000," ","integrate(1/(b*tanh(d*x+c))**(3/2),x)","\int \frac{1}{\left(b \tanh{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((b*tanh(c + d*x))**(-3/2), x)","F",0
19,0,0,0,0.000000," ","integrate(1/(b*tanh(d*x+c))**(5/2),x)","\int \frac{1}{\left(b \tanh{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((b*tanh(c + d*x))**(-5/2), x)","F",0
20,0,0,0,0.000000," ","integrate(1/(b*tanh(d*x+c))**(7/2),x)","\int \frac{1}{\left(b \tanh{\left(c + d x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((b*tanh(c + d*x))**(-7/2), x)","F",0
21,1,63,0,3.698996," ","integrate(tanh(8*x)**(1/3),x)","- \frac{\log{\left(\tanh^{\frac{2}{3}}{\left(8 x \right)} - 1 \right)}}{16} + \frac{\log{\left(\tanh^{\frac{4}{3}}{\left(8 x \right)} + \tanh^{\frac{2}{3}}{\left(8 x \right)} + 1 \right)}}{32} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \left(\tanh^{\frac{2}{3}}{\left(8 x \right)} + \frac{1}{2}\right)}{3} \right)}}{16}"," ",0,"-log(tanh(8*x)**(2/3) - 1)/16 + log(tanh(8*x)**(4/3) + tanh(8*x)**(2/3) + 1)/32 - sqrt(3)*atan(2*sqrt(3)*(tanh(8*x)**(2/3) + 1/2)/3)/16","A",0
22,0,0,0,0.000000," ","integrate(tanh(b*x+a)**n,x)","\int \tanh^{n}{\left(a + b x \right)}\, dx"," ",0,"Integral(tanh(a + b*x)**n, x)","F",0
23,0,0,0,0.000000," ","integrate((b*tanh(d*x+c))**n,x)","\int \left(b \tanh{\left(c + d x \right)}\right)^{n}\, dx"," ",0,"Integral((b*tanh(c + d*x))**n, x)","F",0
24,0,0,0,0.000000," ","integrate((a*tanh(x)**2)**(3/2),x)","\int \left(a \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*tanh(x)**2)**(3/2), x)","F",0
25,0,0,0,0.000000," ","integrate((a*tanh(x)**2)**(1/2),x)","\int \sqrt{a \tanh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a*tanh(x)**2), x)","F",0
26,0,0,0,0.000000," ","integrate(1/(a*tanh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{a \tanh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*tanh(x)**2), x)","F",0
27,0,0,0,0.000000," ","integrate((-tanh(d*x+c)**2)**(5/2),x)","\int \left(- \tanh^{2}{\left(c + d x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((-tanh(c + d*x)**2)**(5/2), x)","F",0
28,0,0,0,0.000000," ","integrate((-tanh(d*x+c)**2)**(3/2),x)","\int \left(- \tanh^{2}{\left(c + d x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((-tanh(c + d*x)**2)**(3/2), x)","F",0
29,0,0,0,0.000000," ","integrate((-tanh(d*x+c)**2)**(1/2),x)","\int \sqrt{- \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(sqrt(-tanh(c + d*x)**2), x)","F",0
30,0,0,0,0.000000," ","integrate(1/(-tanh(d*x+c)**2)**(1/2),x)","\int \frac{1}{\sqrt{- \tanh^{2}{\left(c + d x \right)}}}\, dx"," ",0,"Integral(1/sqrt(-tanh(c + d*x)**2), x)","F",0
31,0,0,0,0.000000," ","integrate(1/(-tanh(d*x+c)**2)**(3/2),x)","\int \frac{1}{\left(- \tanh^{2}{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((-tanh(c + d*x)**2)**(-3/2), x)","F",0
32,0,0,0,0.000000," ","integrate(1/(-tanh(d*x+c)**2)**(5/2),x)","\int \frac{1}{\left(- \tanh^{2}{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((-tanh(c + d*x)**2)**(-5/2), x)","F",0
33,0,0,0,0.000000," ","integrate((tanh(x)**3)**(1/2),x)","\int \sqrt{\tanh^{3}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(tanh(x)**3), x)","F",0
34,0,0,0,0.000000," ","integrate((a*tanh(x)**3)**(3/2),x)","\int \left(a \tanh^{3}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*tanh(x)**3)**(3/2), x)","F",0
35,0,0,0,0.000000," ","integrate((a*tanh(x)**3)**(1/2),x)","\int \sqrt{a \tanh^{3}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a*tanh(x)**3), x)","F",0
36,0,0,0,0.000000," ","integrate(1/(a*tanh(x)**3)**(1/2),x)","\int \frac{1}{\sqrt{a \tanh^{3}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*tanh(x)**3), x)","F",0
37,0,0,0,0.000000," ","integrate((a*tanh(x)**4)**(3/2),x)","\int \left(a \tanh^{4}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*tanh(x)**4)**(3/2), x)","F",0
38,0,0,0,0.000000," ","integrate((a*tanh(x)**4)**(1/2),x)","\int \sqrt{a \tanh^{4}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a*tanh(x)**4), x)","F",0
39,0,0,0,0.000000," ","integrate(1/(a*tanh(x)**4)**(1/2),x)","\int \frac{1}{\sqrt{a \tanh^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*tanh(x)**4), x)","F",0
40,0,0,0,0.000000," ","integrate((b*tanh(d*x+c)**m)**n,x)","\int \left(b \tanh^{m}{\left(c + d x \right)}\right)^{n}\, dx"," ",0,"Integral((b*tanh(c + d*x)**m)**n, x)","F",0
41,1,95,0,0.473357," ","integrate((a+a*tanh(d*x+c))**5,x)","\begin{cases} 32 a^{5} x - \frac{16 a^{5} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{a^{5} \tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{5 a^{5} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{11 a^{5} \tanh^{2}{\left(c + d x \right)}}{2 d} - \frac{15 a^{5} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \tanh{\left(c \right)} + a\right)^{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((32*a**5*x - 16*a**5*log(tanh(c + d*x) + 1)/d - a**5*tanh(c + d*x)**4/(4*d) - 5*a**5*tanh(c + d*x)**3/(3*d) - 11*a**5*tanh(c + d*x)**2/(2*d) - 15*a**5*tanh(c + d*x)/d, Ne(d, 0)), (x*(a*tanh(c) + a)**5, True))","A",0
42,1,76,0,0.339406," ","integrate((a+a*tanh(d*x+c))**4,x)","\begin{cases} 16 a^{4} x - \frac{8 a^{4} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{a^{4} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{2 a^{4} \tanh^{2}{\left(c + d x \right)}}{d} - \frac{7 a^{4} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \tanh{\left(c \right)} + a\right)^{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((16*a**4*x - 8*a**4*log(tanh(c + d*x) + 1)/d - a**4*tanh(c + d*x)**3/(3*d) - 2*a**4*tanh(c + d*x)**2/d - 7*a**4*tanh(c + d*x)/d, Ne(d, 0)), (x*(a*tanh(c) + a)**4, True))","A",0
43,1,61,0,0.228213," ","integrate((a+a*tanh(d*x+c))**3,x)","\begin{cases} 8 a^{3} x - \frac{4 a^{3} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{a^{3} \tanh^{2}{\left(c + d x \right)}}{2 d} - \frac{3 a^{3} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \tanh{\left(c \right)} + a\right)^{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((8*a**3*x - 4*a**3*log(tanh(c + d*x) + 1)/d - a**3*tanh(c + d*x)**2/(2*d) - 3*a**3*tanh(c + d*x)/d, Ne(d, 0)), (x*(a*tanh(c) + a)**3, True))","A",0
44,1,44,0,0.178990," ","integrate((a+a*tanh(d*x+c))**2,x)","\begin{cases} 4 a^{2} x - \frac{2 a^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{a^{2} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \tanh{\left(c \right)} + a\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((4*a**2*x - 2*a**2*log(tanh(c + d*x) + 1)/d - a**2*tanh(c + d*x)/d, Ne(d, 0)), (x*(a*tanh(c) + a)**2, True))","A",0
45,1,73,0,0.502020," ","integrate(1/(a+a*tanh(d*x+c)),x)","\begin{cases} \frac{d x \tanh{\left(c + d x \right)}}{2 a d \tanh{\left(c + d x \right)} + 2 a d} + \frac{d x}{2 a d \tanh{\left(c + d x \right)} + 2 a d} - \frac{1}{2 a d \tanh{\left(c + d x \right)} + 2 a d} & \text{for}\: d \neq 0 \\\frac{x}{a \tanh{\left(c \right)} + a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((d*x*tanh(c + d*x)/(2*a*d*tanh(c + d*x) + 2*a*d) + d*x/(2*a*d*tanh(c + d*x) + 2*a*d) - 1/(2*a*d*tanh(c + d*x) + 2*a*d), Ne(d, 0)), (x/(a*tanh(c) + a), True))","A",0
46,1,223,0,0.919809," ","integrate(1/(a+a*tanh(d*x+c))**2,x)","\begin{cases} \frac{d x \tanh^{2}{\left(c + d x \right)}}{4 a^{2} d \tanh^{2}{\left(c + d x \right)} + 8 a^{2} d \tanh{\left(c + d x \right)} + 4 a^{2} d} + \frac{2 d x \tanh{\left(c + d x \right)}}{4 a^{2} d \tanh^{2}{\left(c + d x \right)} + 8 a^{2} d \tanh{\left(c + d x \right)} + 4 a^{2} d} + \frac{d x}{4 a^{2} d \tanh^{2}{\left(c + d x \right)} + 8 a^{2} d \tanh{\left(c + d x \right)} + 4 a^{2} d} - \frac{\tanh{\left(c + d x \right)}}{4 a^{2} d \tanh^{2}{\left(c + d x \right)} + 8 a^{2} d \tanh{\left(c + d x \right)} + 4 a^{2} d} - \frac{2}{4 a^{2} d \tanh^{2}{\left(c + d x \right)} + 8 a^{2} d \tanh{\left(c + d x \right)} + 4 a^{2} d} & \text{for}\: d \neq 0 \\\frac{x}{\left(a \tanh{\left(c \right)} + a\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((d*x*tanh(c + d*x)**2/(4*a**2*d*tanh(c + d*x)**2 + 8*a**2*d*tanh(c + d*x) + 4*a**2*d) + 2*d*x*tanh(c + d*x)/(4*a**2*d*tanh(c + d*x)**2 + 8*a**2*d*tanh(c + d*x) + 4*a**2*d) + d*x/(4*a**2*d*tanh(c + d*x)**2 + 8*a**2*d*tanh(c + d*x) + 4*a**2*d) - tanh(c + d*x)/(4*a**2*d*tanh(c + d*x)**2 + 8*a**2*d*tanh(c + d*x) + 4*a**2*d) - 2/(4*a**2*d*tanh(c + d*x)**2 + 8*a**2*d*tanh(c + d*x) + 4*a**2*d), Ne(d, 0)), (x/(a*tanh(c) + a)**2, True))","A",0
47,1,430,0,1.420766," ","integrate(1/(a+a*tanh(d*x+c))**3,x)","\begin{cases} \frac{3 d x \tanh^{3}{\left(c + d x \right)}}{24 a^{3} d \tanh^{3}{\left(c + d x \right)} + 72 a^{3} d \tanh^{2}{\left(c + d x \right)} + 72 a^{3} d \tanh{\left(c + d x \right)} + 24 a^{3} d} + \frac{9 d x \tanh^{2}{\left(c + d x \right)}}{24 a^{3} d \tanh^{3}{\left(c + d x \right)} + 72 a^{3} d \tanh^{2}{\left(c + d x \right)} + 72 a^{3} d \tanh{\left(c + d x \right)} + 24 a^{3} d} + \frac{9 d x \tanh{\left(c + d x \right)}}{24 a^{3} d \tanh^{3}{\left(c + d x \right)} + 72 a^{3} d \tanh^{2}{\left(c + d x \right)} + 72 a^{3} d \tanh{\left(c + d x \right)} + 24 a^{3} d} + \frac{3 d x}{24 a^{3} d \tanh^{3}{\left(c + d x \right)} + 72 a^{3} d \tanh^{2}{\left(c + d x \right)} + 72 a^{3} d \tanh{\left(c + d x \right)} + 24 a^{3} d} - \frac{3 \tanh^{2}{\left(c + d x \right)}}{24 a^{3} d \tanh^{3}{\left(c + d x \right)} + 72 a^{3} d \tanh^{2}{\left(c + d x \right)} + 72 a^{3} d \tanh{\left(c + d x \right)} + 24 a^{3} d} - \frac{9 \tanh{\left(c + d x \right)}}{24 a^{3} d \tanh^{3}{\left(c + d x \right)} + 72 a^{3} d \tanh^{2}{\left(c + d x \right)} + 72 a^{3} d \tanh{\left(c + d x \right)} + 24 a^{3} d} - \frac{10}{24 a^{3} d \tanh^{3}{\left(c + d x \right)} + 72 a^{3} d \tanh^{2}{\left(c + d x \right)} + 72 a^{3} d \tanh{\left(c + d x \right)} + 24 a^{3} d} & \text{for}\: d \neq 0 \\\frac{x}{\left(a \tanh{\left(c \right)} + a\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*d*x*tanh(c + d*x)**3/(24*a**3*d*tanh(c + d*x)**3 + 72*a**3*d*tanh(c + d*x)**2 + 72*a**3*d*tanh(c + d*x) + 24*a**3*d) + 9*d*x*tanh(c + d*x)**2/(24*a**3*d*tanh(c + d*x)**3 + 72*a**3*d*tanh(c + d*x)**2 + 72*a**3*d*tanh(c + d*x) + 24*a**3*d) + 9*d*x*tanh(c + d*x)/(24*a**3*d*tanh(c + d*x)**3 + 72*a**3*d*tanh(c + d*x)**2 + 72*a**3*d*tanh(c + d*x) + 24*a**3*d) + 3*d*x/(24*a**3*d*tanh(c + d*x)**3 + 72*a**3*d*tanh(c + d*x)**2 + 72*a**3*d*tanh(c + d*x) + 24*a**3*d) - 3*tanh(c + d*x)**2/(24*a**3*d*tanh(c + d*x)**3 + 72*a**3*d*tanh(c + d*x)**2 + 72*a**3*d*tanh(c + d*x) + 24*a**3*d) - 9*tanh(c + d*x)/(24*a**3*d*tanh(c + d*x)**3 + 72*a**3*d*tanh(c + d*x)**2 + 72*a**3*d*tanh(c + d*x) + 24*a**3*d) - 10/(24*a**3*d*tanh(c + d*x)**3 + 72*a**3*d*tanh(c + d*x)**2 + 72*a**3*d*tanh(c + d*x) + 24*a**3*d), Ne(d, 0)), (x/(a*tanh(c) + a)**3, True))","A",0
48,1,694,0,2.308781," ","integrate(1/(a+a*tanh(d*x+c))**4,x)","\begin{cases} \frac{3 d x \tanh^{4}{\left(c + d x \right)}}{48 a^{4} d \tanh^{4}{\left(c + d x \right)} + 192 a^{4} d \tanh^{3}{\left(c + d x \right)} + 288 a^{4} d \tanh^{2}{\left(c + d x \right)} + 192 a^{4} d \tanh{\left(c + d x \right)} + 48 a^{4} d} + \frac{12 d x \tanh^{3}{\left(c + d x \right)}}{48 a^{4} d \tanh^{4}{\left(c + d x \right)} + 192 a^{4} d \tanh^{3}{\left(c + d x \right)} + 288 a^{4} d \tanh^{2}{\left(c + d x \right)} + 192 a^{4} d \tanh{\left(c + d x \right)} + 48 a^{4} d} + \frac{18 d x \tanh^{2}{\left(c + d x \right)}}{48 a^{4} d \tanh^{4}{\left(c + d x \right)} + 192 a^{4} d \tanh^{3}{\left(c + d x \right)} + 288 a^{4} d \tanh^{2}{\left(c + d x \right)} + 192 a^{4} d \tanh{\left(c + d x \right)} + 48 a^{4} d} + \frac{12 d x \tanh{\left(c + d x \right)}}{48 a^{4} d \tanh^{4}{\left(c + d x \right)} + 192 a^{4} d \tanh^{3}{\left(c + d x \right)} + 288 a^{4} d \tanh^{2}{\left(c + d x \right)} + 192 a^{4} d \tanh{\left(c + d x \right)} + 48 a^{4} d} + \frac{3 d x}{48 a^{4} d \tanh^{4}{\left(c + d x \right)} + 192 a^{4} d \tanh^{3}{\left(c + d x \right)} + 288 a^{4} d \tanh^{2}{\left(c + d x \right)} + 192 a^{4} d \tanh{\left(c + d x \right)} + 48 a^{4} d} - \frac{3 \tanh^{3}{\left(c + d x \right)}}{48 a^{4} d \tanh^{4}{\left(c + d x \right)} + 192 a^{4} d \tanh^{3}{\left(c + d x \right)} + 288 a^{4} d \tanh^{2}{\left(c + d x \right)} + 192 a^{4} d \tanh{\left(c + d x \right)} + 48 a^{4} d} - \frac{12 \tanh^{2}{\left(c + d x \right)}}{48 a^{4} d \tanh^{4}{\left(c + d x \right)} + 192 a^{4} d \tanh^{3}{\left(c + d x \right)} + 288 a^{4} d \tanh^{2}{\left(c + d x \right)} + 192 a^{4} d \tanh{\left(c + d x \right)} + 48 a^{4} d} - \frac{19 \tanh{\left(c + d x \right)}}{48 a^{4} d \tanh^{4}{\left(c + d x \right)} + 192 a^{4} d \tanh^{3}{\left(c + d x \right)} + 288 a^{4} d \tanh^{2}{\left(c + d x \right)} + 192 a^{4} d \tanh{\left(c + d x \right)} + 48 a^{4} d} - \frac{16}{48 a^{4} d \tanh^{4}{\left(c + d x \right)} + 192 a^{4} d \tanh^{3}{\left(c + d x \right)} + 288 a^{4} d \tanh^{2}{\left(c + d x \right)} + 192 a^{4} d \tanh{\left(c + d x \right)} + 48 a^{4} d} & \text{for}\: d \neq 0 \\\frac{x}{\left(a \tanh{\left(c \right)} + a\right)^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*d*x*tanh(c + d*x)**4/(48*a**4*d*tanh(c + d*x)**4 + 192*a**4*d*tanh(c + d*x)**3 + 288*a**4*d*tanh(c + d*x)**2 + 192*a**4*d*tanh(c + d*x) + 48*a**4*d) + 12*d*x*tanh(c + d*x)**3/(48*a**4*d*tanh(c + d*x)**4 + 192*a**4*d*tanh(c + d*x)**3 + 288*a**4*d*tanh(c + d*x)**2 + 192*a**4*d*tanh(c + d*x) + 48*a**4*d) + 18*d*x*tanh(c + d*x)**2/(48*a**4*d*tanh(c + d*x)**4 + 192*a**4*d*tanh(c + d*x)**3 + 288*a**4*d*tanh(c + d*x)**2 + 192*a**4*d*tanh(c + d*x) + 48*a**4*d) + 12*d*x*tanh(c + d*x)/(48*a**4*d*tanh(c + d*x)**4 + 192*a**4*d*tanh(c + d*x)**3 + 288*a**4*d*tanh(c + d*x)**2 + 192*a**4*d*tanh(c + d*x) + 48*a**4*d) + 3*d*x/(48*a**4*d*tanh(c + d*x)**4 + 192*a**4*d*tanh(c + d*x)**3 + 288*a**4*d*tanh(c + d*x)**2 + 192*a**4*d*tanh(c + d*x) + 48*a**4*d) - 3*tanh(c + d*x)**3/(48*a**4*d*tanh(c + d*x)**4 + 192*a**4*d*tanh(c + d*x)**3 + 288*a**4*d*tanh(c + d*x)**2 + 192*a**4*d*tanh(c + d*x) + 48*a**4*d) - 12*tanh(c + d*x)**2/(48*a**4*d*tanh(c + d*x)**4 + 192*a**4*d*tanh(c + d*x)**3 + 288*a**4*d*tanh(c + d*x)**2 + 192*a**4*d*tanh(c + d*x) + 48*a**4*d) - 19*tanh(c + d*x)/(48*a**4*d*tanh(c + d*x)**4 + 192*a**4*d*tanh(c + d*x)**3 + 288*a**4*d*tanh(c + d*x)**2 + 192*a**4*d*tanh(c + d*x) + 48*a**4*d) - 16/(48*a**4*d*tanh(c + d*x)**4 + 192*a**4*d*tanh(c + d*x)**3 + 288*a**4*d*tanh(c + d*x)**2 + 192*a**4*d*tanh(c + d*x) + 48*a**4*d), Ne(d, 0)), (x/(a*tanh(c) + a)**4, True))","A",0
49,1,1018,0,3.658241," ","integrate(1/(a+a*tanh(d*x+c))**5,x)","\begin{cases} \frac{15 d x \tanh^{5}{\left(c + d x \right)}}{480 a^{5} d \tanh^{5}{\left(c + d x \right)} + 2400 a^{5} d \tanh^{4}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{3}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{2}{\left(c + d x \right)} + 2400 a^{5} d \tanh{\left(c + d x \right)} + 480 a^{5} d} + \frac{75 d x \tanh^{4}{\left(c + d x \right)}}{480 a^{5} d \tanh^{5}{\left(c + d x \right)} + 2400 a^{5} d \tanh^{4}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{3}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{2}{\left(c + d x \right)} + 2400 a^{5} d \tanh{\left(c + d x \right)} + 480 a^{5} d} + \frac{150 d x \tanh^{3}{\left(c + d x \right)}}{480 a^{5} d \tanh^{5}{\left(c + d x \right)} + 2400 a^{5} d \tanh^{4}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{3}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{2}{\left(c + d x \right)} + 2400 a^{5} d \tanh{\left(c + d x \right)} + 480 a^{5} d} + \frac{150 d x \tanh^{2}{\left(c + d x \right)}}{480 a^{5} d \tanh^{5}{\left(c + d x \right)} + 2400 a^{5} d \tanh^{4}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{3}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{2}{\left(c + d x \right)} + 2400 a^{5} d \tanh{\left(c + d x \right)} + 480 a^{5} d} + \frac{75 d x \tanh{\left(c + d x \right)}}{480 a^{5} d \tanh^{5}{\left(c + d x \right)} + 2400 a^{5} d \tanh^{4}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{3}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{2}{\left(c + d x \right)} + 2400 a^{5} d \tanh{\left(c + d x \right)} + 480 a^{5} d} + \frac{15 d x}{480 a^{5} d \tanh^{5}{\left(c + d x \right)} + 2400 a^{5} d \tanh^{4}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{3}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{2}{\left(c + d x \right)} + 2400 a^{5} d \tanh{\left(c + d x \right)} + 480 a^{5} d} - \frac{15 \tanh^{4}{\left(c + d x \right)}}{480 a^{5} d \tanh^{5}{\left(c + d x \right)} + 2400 a^{5} d \tanh^{4}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{3}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{2}{\left(c + d x \right)} + 2400 a^{5} d \tanh{\left(c + d x \right)} + 480 a^{5} d} - \frac{75 \tanh^{3}{\left(c + d x \right)}}{480 a^{5} d \tanh^{5}{\left(c + d x \right)} + 2400 a^{5} d \tanh^{4}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{3}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{2}{\left(c + d x \right)} + 2400 a^{5} d \tanh{\left(c + d x \right)} + 480 a^{5} d} - \frac{155 \tanh^{2}{\left(c + d x \right)}}{480 a^{5} d \tanh^{5}{\left(c + d x \right)} + 2400 a^{5} d \tanh^{4}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{3}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{2}{\left(c + d x \right)} + 2400 a^{5} d \tanh{\left(c + d x \right)} + 480 a^{5} d} - \frac{175 \tanh{\left(c + d x \right)}}{480 a^{5} d \tanh^{5}{\left(c + d x \right)} + 2400 a^{5} d \tanh^{4}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{3}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{2}{\left(c + d x \right)} + 2400 a^{5} d \tanh{\left(c + d x \right)} + 480 a^{5} d} - \frac{128}{480 a^{5} d \tanh^{5}{\left(c + d x \right)} + 2400 a^{5} d \tanh^{4}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{3}{\left(c + d x \right)} + 4800 a^{5} d \tanh^{2}{\left(c + d x \right)} + 2400 a^{5} d \tanh{\left(c + d x \right)} + 480 a^{5} d} & \text{for}\: d \neq 0 \\\frac{x}{\left(a \tanh{\left(c \right)} + a\right)^{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((15*d*x*tanh(c + d*x)**5/(480*a**5*d*tanh(c + d*x)**5 + 2400*a**5*d*tanh(c + d*x)**4 + 4800*a**5*d*tanh(c + d*x)**3 + 4800*a**5*d*tanh(c + d*x)**2 + 2400*a**5*d*tanh(c + d*x) + 480*a**5*d) + 75*d*x*tanh(c + d*x)**4/(480*a**5*d*tanh(c + d*x)**5 + 2400*a**5*d*tanh(c + d*x)**4 + 4800*a**5*d*tanh(c + d*x)**3 + 4800*a**5*d*tanh(c + d*x)**2 + 2400*a**5*d*tanh(c + d*x) + 480*a**5*d) + 150*d*x*tanh(c + d*x)**3/(480*a**5*d*tanh(c + d*x)**5 + 2400*a**5*d*tanh(c + d*x)**4 + 4800*a**5*d*tanh(c + d*x)**3 + 4800*a**5*d*tanh(c + d*x)**2 + 2400*a**5*d*tanh(c + d*x) + 480*a**5*d) + 150*d*x*tanh(c + d*x)**2/(480*a**5*d*tanh(c + d*x)**5 + 2400*a**5*d*tanh(c + d*x)**4 + 4800*a**5*d*tanh(c + d*x)**3 + 4800*a**5*d*tanh(c + d*x)**2 + 2400*a**5*d*tanh(c + d*x) + 480*a**5*d) + 75*d*x*tanh(c + d*x)/(480*a**5*d*tanh(c + d*x)**5 + 2400*a**5*d*tanh(c + d*x)**4 + 4800*a**5*d*tanh(c + d*x)**3 + 4800*a**5*d*tanh(c + d*x)**2 + 2400*a**5*d*tanh(c + d*x) + 480*a**5*d) + 15*d*x/(480*a**5*d*tanh(c + d*x)**5 + 2400*a**5*d*tanh(c + d*x)**4 + 4800*a**5*d*tanh(c + d*x)**3 + 4800*a**5*d*tanh(c + d*x)**2 + 2400*a**5*d*tanh(c + d*x) + 480*a**5*d) - 15*tanh(c + d*x)**4/(480*a**5*d*tanh(c + d*x)**5 + 2400*a**5*d*tanh(c + d*x)**4 + 4800*a**5*d*tanh(c + d*x)**3 + 4800*a**5*d*tanh(c + d*x)**2 + 2400*a**5*d*tanh(c + d*x) + 480*a**5*d) - 75*tanh(c + d*x)**3/(480*a**5*d*tanh(c + d*x)**5 + 2400*a**5*d*tanh(c + d*x)**4 + 4800*a**5*d*tanh(c + d*x)**3 + 4800*a**5*d*tanh(c + d*x)**2 + 2400*a**5*d*tanh(c + d*x) + 480*a**5*d) - 155*tanh(c + d*x)**2/(480*a**5*d*tanh(c + d*x)**5 + 2400*a**5*d*tanh(c + d*x)**4 + 4800*a**5*d*tanh(c + d*x)**3 + 4800*a**5*d*tanh(c + d*x)**2 + 2400*a**5*d*tanh(c + d*x) + 480*a**5*d) - 175*tanh(c + d*x)/(480*a**5*d*tanh(c + d*x)**5 + 2400*a**5*d*tanh(c + d*x)**4 + 4800*a**5*d*tanh(c + d*x)**3 + 4800*a**5*d*tanh(c + d*x)**2 + 2400*a**5*d*tanh(c + d*x) + 480*a**5*d) - 128/(480*a**5*d*tanh(c + d*x)**5 + 2400*a**5*d*tanh(c + d*x)**4 + 4800*a**5*d*tanh(c + d*x)**3 + 4800*a**5*d*tanh(c + d*x)**2 + 2400*a**5*d*tanh(c + d*x) + 480*a**5*d), Ne(d, 0)), (x/(a*tanh(c) + a)**5, True))","A",0
50,0,0,0,0.000000," ","integrate((1+tanh(x))**(7/2),x)","\int \left(\tanh{\left(x \right)} + 1\right)^{\frac{7}{2}}\, dx"," ",0,"Integral((tanh(x) + 1)**(7/2), x)","F",0
51,0,0,0,0.000000," ","integrate((1+tanh(x))**(5/2),x)","\int \left(\tanh{\left(x \right)} + 1\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((tanh(x) + 1)**(5/2), x)","F",0
52,0,0,0,0.000000," ","integrate((1+tanh(x))**(3/2),x)","\int \left(\tanh{\left(x \right)} + 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((tanh(x) + 1)**(3/2), x)","F",0
53,0,0,0,0.000000," ","integrate((1+tanh(x))**(1/2),x)","\int \sqrt{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(sqrt(tanh(x) + 1), x)","F",0
54,0,0,0,0.000000," ","integrate(1/(1+tanh(x))**(1/2),x)","\int \frac{1}{\sqrt{\tanh{\left(x \right)} + 1}}\, dx"," ",0,"Integral(1/sqrt(tanh(x) + 1), x)","F",0
55,0,0,0,0.000000," ","integrate(1/(1+tanh(x))**(3/2),x)","\int \frac{1}{\left(\tanh{\left(x \right)} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((tanh(x) + 1)**(-3/2), x)","F",0
56,0,0,0,0.000000," ","integrate(1/(1+tanh(x))**(5/2),x)","\int \frac{1}{\left(\tanh{\left(x \right)} + 1\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((tanh(x) + 1)**(-5/2), x)","F",0
57,1,211,0,0.628287," ","integrate((a+b*tanh(d*x+c))**5,x)","\begin{cases} a^{5} x + 5 a^{4} b x - \frac{5 a^{4} b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} + 10 a^{3} b^{2} x - \frac{10 a^{3} b^{2} \tanh{\left(c + d x \right)}}{d} + 10 a^{2} b^{3} x - \frac{10 a^{2} b^{3} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{5 a^{2} b^{3} \tanh^{2}{\left(c + d x \right)}}{d} + 5 a b^{4} x - \frac{5 a b^{4} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{5 a b^{4} \tanh{\left(c + d x \right)}}{d} + b^{5} x - \frac{b^{5} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{b^{5} \tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{b^{5} \tanh^{2}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh{\left(c \right)}\right)^{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**5*x + 5*a**4*b*x - 5*a**4*b*log(tanh(c + d*x) + 1)/d + 10*a**3*b**2*x - 10*a**3*b**2*tanh(c + d*x)/d + 10*a**2*b**3*x - 10*a**2*b**3*log(tanh(c + d*x) + 1)/d - 5*a**2*b**3*tanh(c + d*x)**2/d + 5*a*b**4*x - 5*a*b**4*tanh(c + d*x)**3/(3*d) - 5*a*b**4*tanh(c + d*x)/d + b**5*x - b**5*log(tanh(c + d*x) + 1)/d - b**5*tanh(c + d*x)**4/(4*d) - b**5*tanh(c + d*x)**2/(2*d), Ne(d, 0)), (x*(a + b*tanh(c))**5, True))","A",0
58,1,144,0,0.419367," ","integrate((a+b*tanh(d*x+c))**4,x)","\begin{cases} a^{4} x + 4 a^{3} b x - \frac{4 a^{3} b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} + 6 a^{2} b^{2} x - \frac{6 a^{2} b^{2} \tanh{\left(c + d x \right)}}{d} + 4 a b^{3} x - \frac{4 a b^{3} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{2 a b^{3} \tanh^{2}{\left(c + d x \right)}}{d} + b^{4} x - \frac{b^{4} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b^{4} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh{\left(c \right)}\right)^{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**4*x + 4*a**3*b*x - 4*a**3*b*log(tanh(c + d*x) + 1)/d + 6*a**2*b**2*x - 6*a**2*b**2*tanh(c + d*x)/d + 4*a*b**3*x - 4*a*b**3*log(tanh(c + d*x) + 1)/d - 2*a*b**3*tanh(c + d*x)**2/d + b**4*x - b**4*tanh(c + d*x)**3/(3*d) - b**4*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c))**4, True))","A",0
59,1,100,0,0.287095," ","integrate((a+b*tanh(d*x+c))**3,x)","\begin{cases} a^{3} x + 3 a^{2} b x - \frac{3 a^{2} b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} + 3 a b^{2} x - \frac{3 a b^{2} \tanh{\left(c + d x \right)}}{d} + b^{3} x - \frac{b^{3} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{b^{3} \tanh^{2}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh{\left(c \right)}\right)^{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x + 3*a**2*b*x - 3*a**2*b*log(tanh(c + d*x) + 1)/d + 3*a*b**2*x - 3*a*b**2*tanh(c + d*x)/d + b**3*x - b**3*log(tanh(c + d*x) + 1)/d - b**3*tanh(c + d*x)**2/(2*d), Ne(d, 0)), (x*(a + b*tanh(c))**3, True))","A",0
60,1,54,0,0.188910," ","integrate((a+b*tanh(d*x+c))**2,x)","\begin{cases} a^{2} x + 2 a b x - \frac{2 a b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} + b^{2} x - \frac{b^{2} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh{\left(c \right)}\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x + 2*a*b*x - 2*a*b*log(tanh(c + d*x) + 1)/d + b**2*x - b**2*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c))**2, True))","A",0
61,1,224,0,2.131868," ","integrate(1/(a+b*tanh(d*x+c)),x)","\begin{cases} \frac{\tilde{\infty} x}{\tanh{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\- \frac{d x \tanh{\left(c + d x \right)}}{2 b d \tanh{\left(c + d x \right)} - 2 b d} + \frac{d x}{2 b d \tanh{\left(c + d x \right)} - 2 b d} + \frac{1}{2 b d \tanh{\left(c + d x \right)} - 2 b d} & \text{for}\: a = - b \\\frac{d x \tanh{\left(c + d x \right)}}{2 b d \tanh{\left(c + d x \right)} + 2 b d} + \frac{d x}{2 b d \tanh{\left(c + d x \right)} + 2 b d} - \frac{1}{2 b d \tanh{\left(c + d x \right)} + 2 b d} & \text{for}\: a = b \\\frac{x}{a + b \tanh{\left(c \right)}} & \text{for}\: d = 0 \\\frac{x}{a} & \text{for}\: b = 0 \\\frac{a d x}{a^{2} d - b^{2} d} - \frac{b d x}{a^{2} d - b^{2} d} - \frac{b \log{\left(\frac{a}{b} + \tanh{\left(c + d x \right)} \right)}}{a^{2} d - b^{2} d} + \frac{b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{a^{2} d - b^{2} d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x/tanh(c), Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (-d*x*tanh(c + d*x)/(2*b*d*tanh(c + d*x) - 2*b*d) + d*x/(2*b*d*tanh(c + d*x) - 2*b*d) + 1/(2*b*d*tanh(c + d*x) - 2*b*d), Eq(a, -b)), (d*x*tanh(c + d*x)/(2*b*d*tanh(c + d*x) + 2*b*d) + d*x/(2*b*d*tanh(c + d*x) + 2*b*d) - 1/(2*b*d*tanh(c + d*x) + 2*b*d), Eq(a, b)), (x/(a + b*tanh(c)), Eq(d, 0)), (x/a, Eq(b, 0)), (a*d*x/(a**2*d - b**2*d) - b*d*x/(a**2*d - b**2*d) - b*log(a/b + tanh(c + d*x))/(a**2*d - b**2*d) + b*log(tanh(c + d*x) + 1)/(a**2*d - b**2*d), True))","A",0
62,1,3597,0,24.802170," ","integrate(1/(a+b*tanh(d*x+c))**2,x)","\begin{cases} \frac{\tilde{\infty} x}{\tanh^{2}{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{x}{a^{2}} & \text{for}\: b = 0 \\\frac{d x \tanh^{2}{\left(c + d x \right)}}{4 b^{2} d \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} - \frac{2 d x \tanh{\left(c + d x \right)}}{4 b^{2} d \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} + \frac{d x}{4 b^{2} d \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} - \frac{\tanh{\left(c + d x \right)}}{4 b^{2} d \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} + \frac{2}{4 b^{2} d \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} & \text{for}\: a = - b \\\frac{d x \tanh^{2}{\left(c + d x \right)}}{4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} + \frac{2 d x \tanh{\left(c + d x \right)}}{4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} + \frac{d x}{4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} - \frac{\tanh{\left(c + d x \right)}}{4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} - \frac{2}{4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} & \text{for}\: a = b \\\frac{d x e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)}}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} - \frac{2 d x e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)}}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} + \frac{d x e^{4 c} e^{4 d x}}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} - \frac{4 d x e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)}}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} + \frac{4 d x e^{2 c} e^{2 d x}}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} + \frac{d x \tanh^{2}{\left(c + d x \right)}}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} + \frac{2 d x \tanh{\left(c + d x \right)}}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} + \frac{d x}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} - \frac{e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)}}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} + \frac{2 e^{4 c} e^{4 d x}}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} + \frac{4 e^{2 c} e^{2 d x} \tanh{\left(c + d x \right)}}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} - \frac{\tanh{\left(c + d x \right)}}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} - \frac{2}{4 b^{2} d e^{4 c} e^{4 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{4 c} e^{4 d x} \tanh{\left(c + d x \right)} + 4 b^{2} d e^{4 c} e^{4 d x} + 8 b^{2} d e^{2 c} e^{2 d x} \tanh^{2}{\left(c + d x \right)} - 8 b^{2} d e^{2 c} e^{2 d x} + 4 b^{2} d \tanh^{2}{\left(c + d x \right)} + 8 b^{2} d \tanh{\left(c + d x \right)} + 4 b^{2} d} & \text{for}\: a = \frac{- b e^{2 c} e^{2 d x} + b}{e^{2 c} e^{2 d x} + 1} \\\frac{x}{\left(a + b \tanh{\left(c \right)}\right)^{2}} & \text{for}\: d = 0 \\\frac{a^{3} d x}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} + \frac{a^{2} b d x \tanh{\left(c + d x \right)}}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} - \frac{2 a^{2} b d x}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} - \frac{2 a^{2} b \log{\left(\frac{a}{b} + \tanh{\left(c + d x \right)} \right)}}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} + \frac{2 a^{2} b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} + \frac{a^{2} b}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} - \frac{2 a b^{2} d x \tanh{\left(c + d x \right)}}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} + \frac{a b^{2} d x}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} - \frac{2 a b^{2} \log{\left(\frac{a}{b} + \tanh{\left(c + d x \right)} \right)} \tanh{\left(c + d x \right)}}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} + \frac{2 a b^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)} \tanh{\left(c + d x \right)}}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} + \frac{b^{3} d x \tanh{\left(c + d x \right)}}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} - \frac{b^{3}}{a^{5} d + a^{4} b d \tanh{\left(c + d x \right)} - 2 a^{3} b^{2} d - 2 a^{2} b^{3} d \tanh{\left(c + d x \right)} + a b^{4} d + b^{5} d \tanh{\left(c + d x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x/tanh(c)**2, Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (x/a**2, Eq(b, 0)), (d*x*tanh(c + d*x)**2/(4*b**2*d*tanh(c + d*x)**2 - 8*b**2*d*tanh(c + d*x) + 4*b**2*d) - 2*d*x*tanh(c + d*x)/(4*b**2*d*tanh(c + d*x)**2 - 8*b**2*d*tanh(c + d*x) + 4*b**2*d) + d*x/(4*b**2*d*tanh(c + d*x)**2 - 8*b**2*d*tanh(c + d*x) + 4*b**2*d) - tanh(c + d*x)/(4*b**2*d*tanh(c + d*x)**2 - 8*b**2*d*tanh(c + d*x) + 4*b**2*d) + 2/(4*b**2*d*tanh(c + d*x)**2 - 8*b**2*d*tanh(c + d*x) + 4*b**2*d), Eq(a, -b)), (d*x*tanh(c + d*x)**2/(4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) + 2*d*x*tanh(c + d*x)/(4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) + d*x/(4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) - tanh(c + d*x)/(4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) - 2/(4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d), Eq(a, b)), (d*x*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) - 2*d*x*exp(4*c)*exp(4*d*x)*tanh(c + d*x)/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) + d*x*exp(4*c)*exp(4*d*x)/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) - 4*d*x*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) + 4*d*x*exp(2*c)*exp(2*d*x)/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) + d*x*tanh(c + d*x)**2/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) + 2*d*x*tanh(c + d*x)/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) + d*x/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) - exp(4*c)*exp(4*d*x)*tanh(c + d*x)/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) + 2*exp(4*c)*exp(4*d*x)/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) + 4*exp(2*c)*exp(2*d*x)*tanh(c + d*x)/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) - tanh(c + d*x)/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d) - 2/(4*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(4*c)*exp(4*d*x)*tanh(c + d*x) + 4*b**2*d*exp(4*c)*exp(4*d*x) + 8*b**2*d*exp(2*c)*exp(2*d*x)*tanh(c + d*x)**2 - 8*b**2*d*exp(2*c)*exp(2*d*x) + 4*b**2*d*tanh(c + d*x)**2 + 8*b**2*d*tanh(c + d*x) + 4*b**2*d), Eq(a, (-b*exp(2*c)*exp(2*d*x) + b)/(exp(2*c)*exp(2*d*x) + 1))), (x/(a + b*tanh(c))**2, Eq(d, 0)), (a**3*d*x/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)) + a**2*b*d*x*tanh(c + d*x)/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)) - 2*a**2*b*d*x/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)) - 2*a**2*b*log(a/b + tanh(c + d*x))/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)) + 2*a**2*b*log(tanh(c + d*x) + 1)/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)) + a**2*b/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)) - 2*a*b**2*d*x*tanh(c + d*x)/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)) + a*b**2*d*x/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)) - 2*a*b**2*log(a/b + tanh(c + d*x))*tanh(c + d*x)/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)) + 2*a*b**2*log(tanh(c + d*x) + 1)*tanh(c + d*x)/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)) + b**3*d*x*tanh(c + d*x)/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)) - b**3/(a**5*d + a**4*b*d*tanh(c + d*x) - 2*a**3*b**2*d - 2*a**2*b**3*d*tanh(c + d*x) + a*b**4*d + b**5*d*tanh(c + d*x)), True))","A",0
63,-1,0,0,0.000000," ","integrate(1/(a+b*tanh(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
64,-1,0,0,0.000000," ","integrate(1/(a+b*tanh(d*x+c))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,1,42,0,0.542410," ","integrate(1/(4+6*tanh(d*x+c)),x)","\begin{cases} \frac{x}{10} + \frac{3 \log{\left(\tanh{\left(c + d x \right)} + \frac{2}{3} \right)}}{10 d} - \frac{3 \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{10 d} & \text{for}\: d \neq 0 \\\frac{x}{6 \tanh{\left(c \right)} + 4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/10 + 3*log(tanh(c + d*x) + 2/3)/(10*d) - 3*log(tanh(c + d*x) + 1)/(10*d), Ne(d, 0)), (x/(6*tanh(c) + 4), True))","A",0
66,1,42,0,0.521224," ","integrate(1/(4-6*tanh(d*x+c)),x)","\begin{cases} - \frac{x}{2} - \frac{3 \log{\left(\tanh{\left(c + d x \right)} - \frac{2}{3} \right)}}{10 d} + \frac{3 \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{10 d} & \text{for}\: d \neq 0 \\\frac{x}{4 - 6 \tanh{\left(c \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x/2 - 3*log(tanh(c + d*x) - 2/3)/(10*d) + 3*log(tanh(c + d*x) + 1)/(10*d), Ne(d, 0)), (x/(4 - 6*tanh(c)), True))","A",0
67,0,0,0,0.000000," ","integrate((a+b*tanh(d*x+c))**(1/2),x)","\int \sqrt{a + b \tanh{\left(c + d x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*tanh(c + d*x)), x)","F",0
68,0,0,0,0.000000," ","integrate(1/(a+b*tanh(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{a + b \tanh{\left(c + d x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*tanh(c + d*x)), x)","F",0
69,0,0,0,0.000000," ","integrate(sinh(x)**4/(1+tanh(x)),x)","\int \frac{\sinh^{4}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(sinh(x)**4/(tanh(x) + 1), x)","F",0
70,1,134,0,1.103575," ","integrate(sinh(x)**3/(1+tanh(x)),x)","\frac{3 \sinh^{3}{\left(x \right)} \tanh{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} - \frac{3 \sinh^{3}{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} + \frac{6 \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} \tanh{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} + \frac{9 \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} - \frac{6 \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} \tanh{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} + \frac{6 \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} - \frac{8 \cosh^{3}{\left(x \right)} \tanh{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} - \frac{2 \cosh^{3}{\left(x \right)}}{15 \tanh{\left(x \right)} + 15}"," ",0,"3*sinh(x)**3*tanh(x)/(15*tanh(x) + 15) - 3*sinh(x)**3/(15*tanh(x) + 15) + 6*sinh(x)**2*cosh(x)*tanh(x)/(15*tanh(x) + 15) + 9*sinh(x)**2*cosh(x)/(15*tanh(x) + 15) - 6*sinh(x)*cosh(x)**2*tanh(x)/(15*tanh(x) + 15) + 6*sinh(x)*cosh(x)**2/(15*tanh(x) + 15) - 8*cosh(x)**3*tanh(x)/(15*tanh(x) + 15) - 2*cosh(x)**3/(15*tanh(x) + 15)","B",0
71,0,0,0,0.000000," ","integrate(sinh(x)**2/(1+tanh(x)),x)","\int \frac{\sinh^{2}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(sinh(x)**2/(tanh(x) + 1), x)","F",0
72,1,48,0,0.370198," ","integrate(sinh(x)/(1+tanh(x)),x)","\frac{\sinh{\left(x \right)} \tanh{\left(x \right)}}{3 \tanh{\left(x \right)} + 3} - \frac{\sinh{\left(x \right)}}{3 \tanh{\left(x \right)} + 3} + \frac{2 \cosh{\left(x \right)} \tanh{\left(x \right)}}{3 \tanh{\left(x \right)} + 3} + \frac{\cosh{\left(x \right)}}{3 \tanh{\left(x \right)} + 3}"," ",0,"sinh(x)*tanh(x)/(3*tanh(x) + 3) - sinh(x)/(3*tanh(x) + 3) + 2*cosh(x)*tanh(x)/(3*tanh(x) + 3) + cosh(x)/(3*tanh(x) + 3)","B",0
73,0,0,0,0.000000," ","integrate(csch(x)/(1+tanh(x)),x)","\int \frac{\operatorname{csch}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(csch(x)/(tanh(x) + 1), x)","F",0
74,0,0,0,0.000000," ","integrate(csch(x)**2/(1+tanh(x)),x)","\int \frac{\operatorname{csch}^{2}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(csch(x)**2/(tanh(x) + 1), x)","F",0
75,0,0,0,0.000000," ","integrate(csch(x)**3/(1+tanh(x)),x)","\int \frac{\operatorname{csch}^{3}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(csch(x)**3/(tanh(x) + 1), x)","F",0
76,0,0,0,0.000000," ","integrate(csch(x)**4/(1+tanh(x)),x)","\int \frac{\operatorname{csch}^{4}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(csch(x)**4/(tanh(x) + 1), x)","F",0
77,0,0,0,0.000000," ","integrate(csch(x)**5/(1+tanh(x)),x)","\int \frac{\operatorname{csch}^{5}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(csch(x)**5/(tanh(x) + 1), x)","F",0
78,0,0,0,0.000000," ","integrate(csch(x)**6/(1+tanh(x)),x)","\int \frac{\operatorname{csch}^{6}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(csch(x)**6/(tanh(x) + 1), x)","F",0
79,0,0,0,0.000000," ","integrate(csch(x)**7/(1+tanh(x)),x)","\int \frac{\operatorname{csch}^{7}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(csch(x)**7/(tanh(x) + 1), x)","F",0
80,0,0,0,0.000000," ","integrate(sinh(x)**4/(a+b*tanh(x)),x)","\int \frac{\sinh^{4}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sinh(x)**4/(a + b*tanh(x)), x)","F",0
81,0,0,0,0.000000," ","integrate(sinh(x)**3/(a+b*tanh(x)),x)","\int \frac{\sinh^{3}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sinh(x)**3/(a + b*tanh(x)), x)","F",0
82,0,0,0,0.000000," ","integrate(sinh(x)**2/(a+b*tanh(x)),x)","\int \frac{\sinh^{2}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sinh(x)**2/(a + b*tanh(x)), x)","F",0
83,0,0,0,0.000000," ","integrate(sinh(x)/(a+b*tanh(x)),x)","\int \frac{\sinh{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sinh(x)/(a + b*tanh(x)), x)","F",0
84,0,0,0,0.000000," ","integrate(csch(x)/(a+b*tanh(x)),x)","\int \frac{\operatorname{csch}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)/(a + b*tanh(x)), x)","F",0
85,0,0,0,0.000000," ","integrate(csch(x)**2/(a+b*tanh(x)),x)","\int \frac{\operatorname{csch}^{2}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**2/(a + b*tanh(x)), x)","F",0
86,0,0,0,0.000000," ","integrate(csch(x)**3/(a+b*tanh(x)),x)","\int \frac{\operatorname{csch}^{3}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**3/(a + b*tanh(x)), x)","F",0
87,0,0,0,0.000000," ","integrate(csch(x)**4/(a+b*tanh(x)),x)","\int \frac{\operatorname{csch}^{4}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**4/(a + b*tanh(x)), x)","F",0
88,0,0,0,0.000000," ","integrate(csch(x)**5/(a+b*tanh(x)),x)","\int \frac{\operatorname{csch}^{5}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**5/(a + b*tanh(x)), x)","F",0
89,0,0,0,0.000000," ","integrate(csch(x)**6/(a+b*tanh(x)),x)","\int \frac{\operatorname{csch}^{6}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**6/(a + b*tanh(x)), x)","F",0
90,0,0,0,0.000000," ","integrate(csch(x)/(I+tanh(x)),x)","\int \frac{\operatorname{csch}{\left(x \right)}}{\tanh{\left(x \right)} + i}\, dx"," ",0,"Integral(csch(x)/(tanh(x) + I), x)","F",0
91,0,0,0,0.000000," ","integrate(cosh(x)**4/(1+tanh(x)),x)","\int \frac{\cosh^{4}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(cosh(x)**4/(tanh(x) + 1), x)","F",0
92,1,134,0,1.111156," ","integrate(cosh(x)**3/(1+tanh(x)),x)","- \frac{8 \sinh^{3}{\left(x \right)} \tanh{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} - \frac{2 \sinh^{3}{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} - \frac{6 \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} \tanh{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} + \frac{6 \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} + \frac{6 \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} \tanh{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} + \frac{9 \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} + \frac{3 \cosh^{3}{\left(x \right)} \tanh{\left(x \right)}}{15 \tanh{\left(x \right)} + 15} - \frac{3 \cosh^{3}{\left(x \right)}}{15 \tanh{\left(x \right)} + 15}"," ",0,"-8*sinh(x)**3*tanh(x)/(15*tanh(x) + 15) - 2*sinh(x)**3/(15*tanh(x) + 15) - 6*sinh(x)**2*cosh(x)*tanh(x)/(15*tanh(x) + 15) + 6*sinh(x)**2*cosh(x)/(15*tanh(x) + 15) + 6*sinh(x)*cosh(x)**2*tanh(x)/(15*tanh(x) + 15) + 9*sinh(x)*cosh(x)**2/(15*tanh(x) + 15) + 3*cosh(x)**3*tanh(x)/(15*tanh(x) + 15) - 3*cosh(x)**3/(15*tanh(x) + 15)","B",0
93,0,0,0,0.000000," ","integrate(cosh(x)**2/(1+tanh(x)),x)","\int \frac{\cosh^{2}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(cosh(x)**2/(tanh(x) + 1), x)","F",0
94,1,48,0,0.367209," ","integrate(cosh(x)/(1+tanh(x)),x)","\frac{2 \sinh{\left(x \right)} \tanh{\left(x \right)}}{3 \tanh{\left(x \right)} + 3} + \frac{\sinh{\left(x \right)}}{3 \tanh{\left(x \right)} + 3} + \frac{\cosh{\left(x \right)} \tanh{\left(x \right)}}{3 \tanh{\left(x \right)} + 3} - \frac{\cosh{\left(x \right)}}{3 \tanh{\left(x \right)} + 3}"," ",0,"2*sinh(x)*tanh(x)/(3*tanh(x) + 3) + sinh(x)/(3*tanh(x) + 3) + cosh(x)*tanh(x)/(3*tanh(x) + 3) - cosh(x)/(3*tanh(x) + 3)","B",0
95,1,8,0,0.301604," ","integrate(sech(x)/(1+tanh(x)),x)","- \frac{\operatorname{sech}{\left(x \right)}}{\tanh{\left(x \right)} + 1}"," ",0,"-sech(x)/(tanh(x) + 1)","A",0
96,0,0,0,0.000000," ","integrate(sech(x)**2/(1+tanh(x)),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(sech(x)**2/(tanh(x) + 1), x)","F",0
97,0,0,0,0.000000," ","integrate(sech(x)**3/(1+tanh(x)),x)","\int \frac{\operatorname{sech}^{3}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(sech(x)**3/(tanh(x) + 1), x)","F",0
98,0,0,0,0.000000," ","integrate(sech(x)**4/(1+tanh(x)),x)","\int \frac{\operatorname{sech}^{4}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(sech(x)**4/(tanh(x) + 1), x)","F",0
99,0,0,0,0.000000," ","integrate(sech(x)**5/(1+tanh(x)),x)","\int \frac{\operatorname{sech}^{5}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(sech(x)**5/(tanh(x) + 1), x)","F",0
100,0,0,0,0.000000," ","integrate(sech(x)**6/(1+tanh(x)),x)","\int \frac{\operatorname{sech}^{6}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(sech(x)**6/(tanh(x) + 1), x)","F",0
101,0,0,0,0.000000," ","integrate(sech(x)**7/(1+tanh(x)),x)","\int \frac{\operatorname{sech}^{7}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(sech(x)**7/(tanh(x) + 1), x)","F",0
102,0,0,0,0.000000," ","integrate(sech(x)**8/(a+b*tanh(x)),x)","\int \frac{\operatorname{sech}^{8}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**8/(a + b*tanh(x)), x)","F",0
103,0,0,0,0.000000," ","integrate(sech(x)**6/(a+b*tanh(x)),x)","\int \frac{\operatorname{sech}^{6}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**6/(a + b*tanh(x)), x)","F",0
104,0,0,0,0.000000," ","integrate(sech(x)**4/(a+b*tanh(x)),x)","\int \frac{\operatorname{sech}^{4}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**4/(a + b*tanh(x)), x)","F",0
105,0,0,0,0.000000," ","integrate(sech(x)**2/(a+b*tanh(x)),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**2/(a + b*tanh(x)), x)","F",0
106,1,146,0,0.516153," ","integrate(1/(a+b*tanh(x)),x)","\begin{cases} \tilde{\infty} \left(x - \log{\left(\tanh{\left(x \right)} + 1 \right)} + \log{\left(\tanh{\left(x \right)} \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\- \frac{x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} + \frac{x}{2 b \tanh{\left(x \right)} - 2 b} + \frac{1}{2 b \tanh{\left(x \right)} - 2 b} & \text{for}\: a = - b \\\frac{x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} + \frac{x}{2 b \tanh{\left(x \right)} + 2 b} - \frac{1}{2 b \tanh{\left(x \right)} + 2 b} & \text{for}\: a = b \\\frac{x}{a} & \text{for}\: b = 0 \\\frac{a x}{a^{2} - b^{2}} - \frac{b x}{a^{2} - b^{2}} - \frac{b \log{\left(\frac{a}{b} + \tanh{\left(x \right)} \right)}}{a^{2} - b^{2}} + \frac{b \log{\left(\tanh{\left(x \right)} + 1 \right)}}{a^{2} - b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(x - log(tanh(x) + 1) + log(tanh(x))), Eq(a, 0) & Eq(b, 0)), (-x*tanh(x)/(2*b*tanh(x) - 2*b) + x/(2*b*tanh(x) - 2*b) + 1/(2*b*tanh(x) - 2*b), Eq(a, -b)), (x*tanh(x)/(2*b*tanh(x) + 2*b) + x/(2*b*tanh(x) + 2*b) - 1/(2*b*tanh(x) + 2*b), Eq(a, b)), (x/a, Eq(b, 0)), (a*x/(a**2 - b**2) - b*x/(a**2 - b**2) - b*log(a/b + tanh(x))/(a**2 - b**2) + b*log(tanh(x) + 1)/(a**2 - b**2), True))","A",0
107,0,0,0,0.000000," ","integrate(cosh(x)**2/(a+b*tanh(x)),x)","\int \frac{\cosh^{2}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(cosh(x)**2/(a + b*tanh(x)), x)","F",0
108,0,0,0,0.000000," ","integrate(cosh(x)**4/(a+b*tanh(x)),x)","\int \frac{\cosh^{4}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(cosh(x)**4/(a + b*tanh(x)), x)","F",0
109,0,0,0,0.000000," ","integrate(sech(x)**7/(a+b*tanh(x)),x)","\int \frac{\operatorname{sech}^{7}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**7/(a + b*tanh(x)), x)","F",0
110,0,0,0,0.000000," ","integrate(sech(x)**5/(a+b*tanh(x)),x)","\int \frac{\operatorname{sech}^{5}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**5/(a + b*tanh(x)), x)","F",0
111,0,0,0,0.000000," ","integrate(sech(x)**3/(a+b*tanh(x)),x)","\int \frac{\operatorname{sech}^{3}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**3/(a + b*tanh(x)), x)","F",0
112,0,0,0,0.000000," ","integrate(sech(x)/(a+b*tanh(x)),x)","\int \frac{\operatorname{sech}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)/(a + b*tanh(x)), x)","F",0
113,0,0,0,0.000000," ","integrate(cosh(x)/(a+b*tanh(x)),x)","\int \frac{\cosh{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(cosh(x)/(a + b*tanh(x)), x)","F",0
114,0,0,0,0.000000," ","integrate(cosh(x)**3/(a+b*tanh(x)),x)","\int \frac{\cosh^{3}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(cosh(x)**3/(a + b*tanh(x)), x)","F",0
115,1,104,0,0.468025," ","integrate(tanh(x)**5/(1+tanh(x)),x)","\frac{3 x \tanh{\left(x \right)}}{6 \tanh{\left(x \right)} + 6} + \frac{3 x}{6 \tanh{\left(x \right)} + 6} + \frac{12 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{6 \tanh{\left(x \right)} + 6} + \frac{12 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{6 \tanh{\left(x \right)} + 6} - \frac{2 \tanh^{4}{\left(x \right)}}{6 \tanh{\left(x \right)} + 6} + \frac{\tanh^{3}{\left(x \right)}}{6 \tanh{\left(x \right)} + 6} - \frac{9 \tanh^{2}{\left(x \right)}}{6 \tanh{\left(x \right)} + 6} + \frac{15}{6 \tanh{\left(x \right)} + 6}"," ",0,"3*x*tanh(x)/(6*tanh(x) + 6) + 3*x/(6*tanh(x) + 6) + 12*log(tanh(x) + 1)*tanh(x)/(6*tanh(x) + 6) + 12*log(tanh(x) + 1)/(6*tanh(x) + 6) - 2*tanh(x)**4/(6*tanh(x) + 6) + tanh(x)**3/(6*tanh(x) + 6) - 9*tanh(x)**2/(6*tanh(x) + 6) + 15/(6*tanh(x) + 6)","B",0
116,1,85,0,0.402760," ","integrate(tanh(x)**4/(1+tanh(x)),x)","\frac{x \tanh{\left(x \right)}}{2 \tanh{\left(x \right)} + 2} + \frac{x}{2 \tanh{\left(x \right)} + 2} - \frac{4 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{2 \tanh{\left(x \right)} + 2} - \frac{4 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{2 \tanh{\left(x \right)} + 2} - \frac{\tanh^{3}{\left(x \right)}}{2 \tanh{\left(x \right)} + 2} + \frac{\tanh^{2}{\left(x \right)}}{2 \tanh{\left(x \right)} + 2} - \frac{3}{2 \tanh{\left(x \right)} + 2}"," ",0,"x*tanh(x)/(2*tanh(x) + 2) + x/(2*tanh(x) + 2) - 4*log(tanh(x) + 1)*tanh(x)/(2*tanh(x) + 2) - 4*log(tanh(x) + 1)/(2*tanh(x) + 2) - tanh(x)**3/(2*tanh(x) + 2) + tanh(x)**2/(2*tanh(x) + 2) - 3/(2*tanh(x) + 2)","B",0
117,1,75,0,0.350992," ","integrate(tanh(x)**3/(1+tanh(x)),x)","\frac{x \tanh{\left(x \right)}}{2 \tanh{\left(x \right)} + 2} + \frac{x}{2 \tanh{\left(x \right)} + 2} + \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{2 \tanh{\left(x \right)} + 2} + \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{2 \tanh{\left(x \right)} + 2} - \frac{2 \tanh^{2}{\left(x \right)}}{2 \tanh{\left(x \right)} + 2} + \frac{3}{2 \tanh{\left(x \right)} + 2}"," ",0,"x*tanh(x)/(2*tanh(x) + 2) + x/(2*tanh(x) + 2) + 2*log(tanh(x) + 1)*tanh(x)/(2*tanh(x) + 2) + 2*log(tanh(x) + 1)/(2*tanh(x) + 2) - 2*tanh(x)**2/(2*tanh(x) + 2) + 3/(2*tanh(x) + 2)","B",0
118,1,61,0,0.321874," ","integrate(tanh(x)**2/(1+tanh(x)),x)","\frac{x \tanh{\left(x \right)}}{2 \tanh{\left(x \right)} + 2} + \frac{x}{2 \tanh{\left(x \right)} + 2} - \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{2 \tanh{\left(x \right)} + 2} - \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{2 \tanh{\left(x \right)} + 2} - \frac{1}{2 \tanh{\left(x \right)} + 2}"," ",0,"x*tanh(x)/(2*tanh(x) + 2) + x/(2*tanh(x) + 2) - 2*log(tanh(x) + 1)*tanh(x)/(2*tanh(x) + 2) - 2*log(tanh(x) + 1)/(2*tanh(x) + 2) - 1/(2*tanh(x) + 2)","B",0
119,1,27,0,0.290282," ","integrate(tanh(x)/(1+tanh(x)),x)","\frac{x \tanh{\left(x \right)}}{2 \tanh{\left(x \right)} + 2} + \frac{x}{2 \tanh{\left(x \right)} + 2} + \frac{1}{2 \tanh{\left(x \right)} + 2}"," ",0,"x*tanh(x)/(2*tanh(x) + 2) + x/(2*tanh(x) + 2) + 1/(2*tanh(x) + 2)","B",0
120,1,27,0,0.296913," ","integrate(1/(1+tanh(x)),x)","\frac{x \tanh{\left(x \right)}}{2 \tanh{\left(x \right)} + 2} + \frac{x}{2 \tanh{\left(x \right)} + 2} - \frac{1}{2 \tanh{\left(x \right)} + 2}"," ",0,"x*tanh(x)/(2*tanh(x) + 2) + x/(2*tanh(x) + 2) - 1/(2*tanh(x) + 2)","B",0
121,0,0,0,0.000000," ","integrate(coth(x)/(1+tanh(x)),x)","\int \frac{\coth{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(coth(x)/(tanh(x) + 1), x)","F",0
122,0,0,0,0.000000," ","integrate(coth(x)**2/(1+tanh(x)),x)","\int \frac{\coth^{2}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(coth(x)**2/(tanh(x) + 1), x)","F",0
123,0,0,0,0.000000," ","integrate(coth(x)**3/(1+tanh(x)),x)","\int \frac{\coth^{3}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(coth(x)**3/(tanh(x) + 1), x)","F",0
124,0,0,0,0.000000," ","integrate(coth(x)**4/(1+tanh(x)),x)","\int \frac{\coth^{4}{\left(x \right)}}{\tanh{\left(x \right)} + 1}\, dx"," ",0,"Integral(coth(x)**4/(tanh(x) + 1), x)","F",0
125,1,82,0,11.024710," ","integrate(tanh(x)*(1+tanh(x))**(3/2),x)","- \frac{2 \left(\tanh{\left(x \right)} + 1\right)^{\frac{3}{2}}}{3} - 2 \sqrt{\tanh{\left(x \right)} + 1} - 4 \left(\begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 < 2 \end{cases}\right)"," ",0,"-2*(tanh(x) + 1)**(3/2)/3 - 2*sqrt(tanh(x) + 1) - 4*Piecewise((-sqrt(2)*acoth(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 > 2), (-sqrt(2)*atanh(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 < 2))","A",0
126,1,70,0,2.121185," ","integrate((1+tanh(x))**(1/2)*tanh(x),x)","- 2 \sqrt{\tanh{\left(x \right)} + 1} - 2 \left(\begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 < 2 \end{cases}\right)"," ",0,"-2*sqrt(tanh(x) + 1) - 2*Piecewise((-sqrt(2)*acoth(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 > 2), (-sqrt(2)*atanh(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 < 2))","A",0
127,1,66,0,2.646149," ","integrate(tanh(x)/(1+tanh(x))**(1/2),x)","- \begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 < 2 \end{cases} + \frac{1}{\sqrt{\tanh{\left(x \right)} + 1}}"," ",0,"-Piecewise((-sqrt(2)*acoth(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 > 2), (-sqrt(2)*atanh(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 < 2)) + 1/sqrt(tanh(x) + 1)","A",0
128,1,82,0,11.451382," ","integrate(tanh(x)/(1+tanh(x))**(3/2),x)","- \frac{\begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 < 2 \end{cases}}{2} - \frac{1}{2 \sqrt{\tanh{\left(x \right)} + 1}} + \frac{1}{3 \left(\tanh{\left(x \right)} + 1\right)^{\frac{3}{2}}}"," ",0,"-Piecewise((-sqrt(2)*acoth(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 > 2), (-sqrt(2)*atanh(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 < 2))/2 - 1/(2*sqrt(tanh(x) + 1)) + 1/(3*(tanh(x) + 1)**(3/2))","A",0
129,1,82,0,16.130810," ","integrate(tanh(x)**2*(1+tanh(x))**(3/2),x)","- \frac{2 \left(\tanh{\left(x \right)} + 1\right)^{\frac{5}{2}}}{5} - 2 \sqrt{\tanh{\left(x \right)} + 1} - 4 \left(\begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 < 2 \end{cases}\right)"," ",0,"-2*(tanh(x) + 1)**(5/2)/5 - 2*sqrt(tanh(x) + 1) - 4*Piecewise((-sqrt(2)*acoth(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 > 2), (-sqrt(2)*atanh(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 < 2))","A",0
130,1,71,0,3.014195," ","integrate((1+tanh(x))**(1/2)*tanh(x)**2,x)","- \frac{2 \left(\tanh{\left(x \right)} + 1\right)^{\frac{3}{2}}}{3} - 2 \left(\begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 < 2 \end{cases}\right)"," ",0,"-2*(tanh(x) + 1)**(3/2)/3 - 2*Piecewise((-sqrt(2)*acoth(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 > 2), (-sqrt(2)*atanh(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 < 2))","A",0
131,1,78,0,3.583049," ","integrate(tanh(x)**2/(1+tanh(x))**(1/2),x)","- 2 \sqrt{\tanh{\left(x \right)} + 1} - \begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 < 2 \end{cases} - \frac{1}{\sqrt{\tanh{\left(x \right)} + 1}}"," ",0,"-2*sqrt(tanh(x) + 1) - Piecewise((-sqrt(2)*acoth(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 > 2), (-sqrt(2)*atanh(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 < 2)) - 1/sqrt(tanh(x) + 1)","A",0
132,1,82,0,12.829593," ","integrate(tanh(x)**2/(1+tanh(x))**(3/2),x)","- \frac{\begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \sqrt{\tanh{\left(x \right)} + 1}}{2} \right)}}{2} & \text{for}\: \tanh{\left(x \right)} + 1 < 2 \end{cases}}{2} + \frac{3}{2 \sqrt{\tanh{\left(x \right)} + 1}} - \frac{1}{3 \left(\tanh{\left(x \right)} + 1\right)^{\frac{3}{2}}}"," ",0,"-Piecewise((-sqrt(2)*acoth(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 > 2), (-sqrt(2)*atanh(sqrt(2)*sqrt(tanh(x) + 1)/2)/2, tanh(x) + 1 < 2))/2 + 3/(2*sqrt(tanh(x) + 1)) - 1/(3*(tanh(x) + 1)**(3/2))","A",0
133,1,546,0,1.570899," ","integrate(tanh(x)**5/(a+b*tanh(x)),x)","\begin{cases} \tilde{\infty} \left(x - \frac{\tanh^{3}{\left(x \right)}}{3} - \tanh{\left(x \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{27 x \tanh{\left(x \right)}}{6 b \tanh{\left(x \right)} - 6 b} - \frac{27 x}{6 b \tanh{\left(x \right)} - 6 b} - \frac{12 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{6 b \tanh{\left(x \right)} - 6 b} + \frac{12 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{6 b \tanh{\left(x \right)} - 6 b} - \frac{2 \tanh^{4}{\left(x \right)}}{6 b \tanh{\left(x \right)} - 6 b} - \frac{\tanh^{3}{\left(x \right)}}{6 b \tanh{\left(x \right)} - 6 b} - \frac{9 \tanh^{2}{\left(x \right)}}{6 b \tanh{\left(x \right)} - 6 b} + \frac{15}{6 b \tanh{\left(x \right)} - 6 b} & \text{for}\: a = - b \\\frac{3 x \tanh{\left(x \right)}}{6 b \tanh{\left(x \right)} + 6 b} + \frac{3 x}{6 b \tanh{\left(x \right)} + 6 b} + \frac{12 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{6 b \tanh{\left(x \right)} + 6 b} + \frac{12 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{6 b \tanh{\left(x \right)} + 6 b} - \frac{2 \tanh^{4}{\left(x \right)}}{6 b \tanh{\left(x \right)} + 6 b} + \frac{\tanh^{3}{\left(x \right)}}{6 b \tanh{\left(x \right)} + 6 b} - \frac{9 \tanh^{2}{\left(x \right)}}{6 b \tanh{\left(x \right)} + 6 b} + \frac{15}{6 b \tanh{\left(x \right)} + 6 b} & \text{for}\: a = b \\\frac{x - \log{\left(\tanh{\left(x \right)} + 1 \right)} - \frac{\tanh^{4}{\left(x \right)}}{4} - \frac{\tanh^{2}{\left(x \right)}}{2}}{a} & \text{for}\: b = 0 \\\frac{6 a^{5} \log{\left(\frac{a}{b} + \tanh{\left(x \right)} \right)}}{6 a^{2} b^{4} - 6 b^{6}} - \frac{6 a^{4} b \tanh{\left(x \right)}}{6 a^{2} b^{4} - 6 b^{6}} + \frac{3 a^{3} b^{2} \tanh^{2}{\left(x \right)}}{6 a^{2} b^{4} - 6 b^{6}} - \frac{2 a^{2} b^{3} \tanh^{3}{\left(x \right)}}{6 a^{2} b^{4} - 6 b^{6}} + \frac{6 a b^{4} x}{6 a^{2} b^{4} - 6 b^{6}} - \frac{6 a b^{4} \log{\left(\tanh{\left(x \right)} + 1 \right)}}{6 a^{2} b^{4} - 6 b^{6}} - \frac{3 a b^{4} \tanh^{2}{\left(x \right)}}{6 a^{2} b^{4} - 6 b^{6}} - \frac{6 b^{5} x}{6 a^{2} b^{4} - 6 b^{6}} + \frac{2 b^{5} \tanh^{3}{\left(x \right)}}{6 a^{2} b^{4} - 6 b^{6}} + \frac{6 b^{5} \tanh{\left(x \right)}}{6 a^{2} b^{4} - 6 b^{6}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(x - tanh(x)**3/3 - tanh(x)), Eq(a, 0) & Eq(b, 0)), (27*x*tanh(x)/(6*b*tanh(x) - 6*b) - 27*x/(6*b*tanh(x) - 6*b) - 12*log(tanh(x) + 1)*tanh(x)/(6*b*tanh(x) - 6*b) + 12*log(tanh(x) + 1)/(6*b*tanh(x) - 6*b) - 2*tanh(x)**4/(6*b*tanh(x) - 6*b) - tanh(x)**3/(6*b*tanh(x) - 6*b) - 9*tanh(x)**2/(6*b*tanh(x) - 6*b) + 15/(6*b*tanh(x) - 6*b), Eq(a, -b)), (3*x*tanh(x)/(6*b*tanh(x) + 6*b) + 3*x/(6*b*tanh(x) + 6*b) + 12*log(tanh(x) + 1)*tanh(x)/(6*b*tanh(x) + 6*b) + 12*log(tanh(x) + 1)/(6*b*tanh(x) + 6*b) - 2*tanh(x)**4/(6*b*tanh(x) + 6*b) + tanh(x)**3/(6*b*tanh(x) + 6*b) - 9*tanh(x)**2/(6*b*tanh(x) + 6*b) + 15/(6*b*tanh(x) + 6*b), Eq(a, b)), ((x - log(tanh(x) + 1) - tanh(x)**4/4 - tanh(x)**2/2)/a, Eq(b, 0)), (6*a**5*log(a/b + tanh(x))/(6*a**2*b**4 - 6*b**6) - 6*a**4*b*tanh(x)/(6*a**2*b**4 - 6*b**6) + 3*a**3*b**2*tanh(x)**2/(6*a**2*b**4 - 6*b**6) - 2*a**2*b**3*tanh(x)**3/(6*a**2*b**4 - 6*b**6) + 6*a*b**4*x/(6*a**2*b**4 - 6*b**6) - 6*a*b**4*log(tanh(x) + 1)/(6*a**2*b**4 - 6*b**6) - 3*a*b**4*tanh(x)**2/(6*a**2*b**4 - 6*b**6) - 6*b**5*x/(6*a**2*b**4 - 6*b**6) + 2*b**5*tanh(x)**3/(6*a**2*b**4 - 6*b**6) + 6*b**5*tanh(x)/(6*a**2*b**4 - 6*b**6), True))","A",0
134,1,442,0,1.196248," ","integrate(tanh(x)**4/(a+b*tanh(x)),x)","\begin{cases} \tilde{\infty} \left(x - \log{\left(\tanh{\left(x \right)} + 1 \right)} - \frac{\tanh^{2}{\left(x \right)}}{2}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{7 x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} - \frac{7 x}{2 b \tanh{\left(x \right)} - 2 b} - \frac{4 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} + \frac{4 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{2 b \tanh{\left(x \right)} - 2 b} - \frac{\tanh^{3}{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} - \frac{\tanh^{2}{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} + \frac{3}{2 b \tanh{\left(x \right)} - 2 b} & \text{for}\: a = - b \\\frac{x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} + \frac{x}{2 b \tanh{\left(x \right)} + 2 b} - \frac{4 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} - \frac{4 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{2 b \tanh{\left(x \right)} + 2 b} - \frac{\tanh^{3}{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} + \frac{\tanh^{2}{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} - \frac{3}{2 b \tanh{\left(x \right)} + 2 b} & \text{for}\: a = b \\\frac{x - \frac{\tanh^{3}{\left(x \right)}}{3} - \tanh{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{2 a^{4} \log{\left(\frac{a}{b} + \tanh{\left(x \right)} \right)}}{2 a^{2} b^{3} - 2 b^{5}} + \frac{2 a^{3} b \tanh{\left(x \right)}}{2 a^{2} b^{3} - 2 b^{5}} - \frac{a^{2} b^{2} \tanh^{2}{\left(x \right)}}{2 a^{2} b^{3} - 2 b^{5}} + \frac{2 a b^{3} x}{2 a^{2} b^{3} - 2 b^{5}} - \frac{2 a b^{3} \tanh{\left(x \right)}}{2 a^{2} b^{3} - 2 b^{5}} - \frac{2 b^{4} x}{2 a^{2} b^{3} - 2 b^{5}} + \frac{2 b^{4} \log{\left(\tanh{\left(x \right)} + 1 \right)}}{2 a^{2} b^{3} - 2 b^{5}} + \frac{b^{4} \tanh^{2}{\left(x \right)}}{2 a^{2} b^{3} - 2 b^{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(x - log(tanh(x) + 1) - tanh(x)**2/2), Eq(a, 0) & Eq(b, 0)), (7*x*tanh(x)/(2*b*tanh(x) - 2*b) - 7*x/(2*b*tanh(x) - 2*b) - 4*log(tanh(x) + 1)*tanh(x)/(2*b*tanh(x) - 2*b) + 4*log(tanh(x) + 1)/(2*b*tanh(x) - 2*b) - tanh(x)**3/(2*b*tanh(x) - 2*b) - tanh(x)**2/(2*b*tanh(x) - 2*b) + 3/(2*b*tanh(x) - 2*b), Eq(a, -b)), (x*tanh(x)/(2*b*tanh(x) + 2*b) + x/(2*b*tanh(x) + 2*b) - 4*log(tanh(x) + 1)*tanh(x)/(2*b*tanh(x) + 2*b) - 4*log(tanh(x) + 1)/(2*b*tanh(x) + 2*b) - tanh(x)**3/(2*b*tanh(x) + 2*b) + tanh(x)**2/(2*b*tanh(x) + 2*b) - 3/(2*b*tanh(x) + 2*b), Eq(a, b)), ((x - tanh(x)**3/3 - tanh(x))/a, Eq(b, 0)), (-2*a**4*log(a/b + tanh(x))/(2*a**2*b**3 - 2*b**5) + 2*a**3*b*tanh(x)/(2*a**2*b**3 - 2*b**5) - a**2*b**2*tanh(x)**2/(2*a**2*b**3 - 2*b**5) + 2*a*b**3*x/(2*a**2*b**3 - 2*b**5) - 2*a*b**3*tanh(x)/(2*a**2*b**3 - 2*b**5) - 2*b**4*x/(2*a**2*b**3 - 2*b**5) + 2*b**4*log(tanh(x) + 1)/(2*a**2*b**3 - 2*b**5) + b**4*tanh(x)**2/(2*a**2*b**3 - 2*b**5), True))","A",0
135,1,330,0,0.840711," ","integrate(tanh(x)**3/(a+b*tanh(x)),x)","\begin{cases} \tilde{\infty} \left(x - \tanh{\left(x \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{5 x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} - \frac{5 x}{2 b \tanh{\left(x \right)} - 2 b} - \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} + \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{2 b \tanh{\left(x \right)} - 2 b} - \frac{2 \tanh^{2}{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} + \frac{3}{2 b \tanh{\left(x \right)} - 2 b} & \text{for}\: a = - b \\\frac{x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} + \frac{x}{2 b \tanh{\left(x \right)} + 2 b} + \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} + \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{2 b \tanh{\left(x \right)} + 2 b} - \frac{2 \tanh^{2}{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} + \frac{3}{2 b \tanh{\left(x \right)} + 2 b} & \text{for}\: a = b \\\frac{x - \log{\left(\tanh{\left(x \right)} + 1 \right)} - \frac{\tanh^{2}{\left(x \right)}}{2}}{a} & \text{for}\: b = 0 \\\frac{a^{3} \log{\left(\frac{a}{b} + \tanh{\left(x \right)} \right)}}{a^{2} b^{2} - b^{4}} - \frac{a^{2} b \tanh{\left(x \right)}}{a^{2} b^{2} - b^{4}} + \frac{a b^{2} x}{a^{2} b^{2} - b^{4}} - \frac{a b^{2} \log{\left(\tanh{\left(x \right)} + 1 \right)}}{a^{2} b^{2} - b^{4}} - \frac{b^{3} x}{a^{2} b^{2} - b^{4}} + \frac{b^{3} \tanh{\left(x \right)}}{a^{2} b^{2} - b^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(x - tanh(x)), Eq(a, 0) & Eq(b, 0)), (5*x*tanh(x)/(2*b*tanh(x) - 2*b) - 5*x/(2*b*tanh(x) - 2*b) - 2*log(tanh(x) + 1)*tanh(x)/(2*b*tanh(x) - 2*b) + 2*log(tanh(x) + 1)/(2*b*tanh(x) - 2*b) - 2*tanh(x)**2/(2*b*tanh(x) - 2*b) + 3/(2*b*tanh(x) - 2*b), Eq(a, -b)), (x*tanh(x)/(2*b*tanh(x) + 2*b) + x/(2*b*tanh(x) + 2*b) + 2*log(tanh(x) + 1)*tanh(x)/(2*b*tanh(x) + 2*b) + 2*log(tanh(x) + 1)/(2*b*tanh(x) + 2*b) - 2*tanh(x)**2/(2*b*tanh(x) + 2*b) + 3/(2*b*tanh(x) + 2*b), Eq(a, b)), ((x - log(tanh(x) + 1) - tanh(x)**2/2)/a, Eq(b, 0)), (a**3*log(a/b + tanh(x))/(a**2*b**2 - b**4) - a**2*b*tanh(x)/(a**2*b**2 - b**4) + a*b**2*x/(a**2*b**2 - b**4) - a*b**2*log(tanh(x) + 1)/(a**2*b**2 - b**4) - b**3*x/(a**2*b**2 - b**4) + b**3*tanh(x)/(a**2*b**2 - b**4), True))","A",0
136,1,243,0,0.644859," ","integrate(tanh(x)**2/(a+b*tanh(x)),x)","\begin{cases} \tilde{\infty} \left(x - \log{\left(\tanh{\left(x \right)} + 1 \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{3 x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} - \frac{3 x}{2 b \tanh{\left(x \right)} - 2 b} - \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} + \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{2 b \tanh{\left(x \right)} - 2 b} + \frac{1}{2 b \tanh{\left(x \right)} - 2 b} & \text{for}\: a = - b \\\frac{x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} + \frac{x}{2 b \tanh{\left(x \right)} + 2 b} - \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)} \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} - \frac{2 \log{\left(\tanh{\left(x \right)} + 1 \right)}}{2 b \tanh{\left(x \right)} + 2 b} - \frac{1}{2 b \tanh{\left(x \right)} + 2 b} & \text{for}\: a = b \\\frac{x - \tanh{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{a^{2} \log{\left(\frac{a}{b} + \tanh{\left(x \right)} \right)}}{a^{2} b - b^{3}} + \frac{a b x}{a^{2} b - b^{3}} - \frac{b^{2} x}{a^{2} b - b^{3}} + \frac{b^{2} \log{\left(\tanh{\left(x \right)} + 1 \right)}}{a^{2} b - b^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(x - log(tanh(x) + 1)), Eq(a, 0) & Eq(b, 0)), (3*x*tanh(x)/(2*b*tanh(x) - 2*b) - 3*x/(2*b*tanh(x) - 2*b) - 2*log(tanh(x) + 1)*tanh(x)/(2*b*tanh(x) - 2*b) + 2*log(tanh(x) + 1)/(2*b*tanh(x) - 2*b) + 1/(2*b*tanh(x) - 2*b), Eq(a, -b)), (x*tanh(x)/(2*b*tanh(x) + 2*b) + x/(2*b*tanh(x) + 2*b) - 2*log(tanh(x) + 1)*tanh(x)/(2*b*tanh(x) + 2*b) - 2*log(tanh(x) + 1)/(2*b*tanh(x) + 2*b) - 1/(2*b*tanh(x) + 2*b), Eq(a, b)), ((x - tanh(x))/a, Eq(b, 0)), (-a**2*log(a/b + tanh(x))/(a**2*b - b**3) + a*b*x/(a**2*b - b**3) - b**2*x/(a**2*b - b**3) + b**2*log(tanh(x) + 1)/(a**2*b - b**3), True))","A",0
137,1,141,0,0.510422," ","integrate(tanh(x)/(a+b*tanh(x)),x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = 0 \wedge b = 0 \\\frac{x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} - \frac{x}{2 b \tanh{\left(x \right)} - 2 b} + \frac{1}{2 b \tanh{\left(x \right)} - 2 b} & \text{for}\: a = - b \\\frac{x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} + \frac{x}{2 b \tanh{\left(x \right)} + 2 b} + \frac{1}{2 b \tanh{\left(x \right)} + 2 b} & \text{for}\: a = b \\\frac{x - \log{\left(\tanh{\left(x \right)} + 1 \right)}}{a} & \text{for}\: b = 0 \\\frac{a x}{a^{2} - b^{2}} + \frac{a \log{\left(\frac{a}{b} + \tanh{\left(x \right)} \right)}}{a^{2} - b^{2}} - \frac{a \log{\left(\tanh{\left(x \right)} + 1 \right)}}{a^{2} - b^{2}} - \frac{b x}{a^{2} - b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, 0) & Eq(b, 0)), (x*tanh(x)/(2*b*tanh(x) - 2*b) - x/(2*b*tanh(x) - 2*b) + 1/(2*b*tanh(x) - 2*b), Eq(a, -b)), (x*tanh(x)/(2*b*tanh(x) + 2*b) + x/(2*b*tanh(x) + 2*b) + 1/(2*b*tanh(x) + 2*b), Eq(a, b)), ((x - log(tanh(x) + 1))/a, Eq(b, 0)), (a*x/(a**2 - b**2) + a*log(a/b + tanh(x))/(a**2 - b**2) - a*log(tanh(x) + 1)/(a**2 - b**2) - b*x/(a**2 - b**2), True))","A",0
138,1,146,0,0.517326," ","integrate(1/(a+b*tanh(x)),x)","\begin{cases} \tilde{\infty} \left(x - \log{\left(\tanh{\left(x \right)} + 1 \right)} + \log{\left(\tanh{\left(x \right)} \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\- \frac{x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} - 2 b} + \frac{x}{2 b \tanh{\left(x \right)} - 2 b} + \frac{1}{2 b \tanh{\left(x \right)} - 2 b} & \text{for}\: a = - b \\\frac{x \tanh{\left(x \right)}}{2 b \tanh{\left(x \right)} + 2 b} + \frac{x}{2 b \tanh{\left(x \right)} + 2 b} - \frac{1}{2 b \tanh{\left(x \right)} + 2 b} & \text{for}\: a = b \\\frac{x}{a} & \text{for}\: b = 0 \\\frac{a x}{a^{2} - b^{2}} - \frac{b x}{a^{2} - b^{2}} - \frac{b \log{\left(\frac{a}{b} + \tanh{\left(x \right)} \right)}}{a^{2} - b^{2}} + \frac{b \log{\left(\tanh{\left(x \right)} + 1 \right)}}{a^{2} - b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(x - log(tanh(x) + 1) + log(tanh(x))), Eq(a, 0) & Eq(b, 0)), (-x*tanh(x)/(2*b*tanh(x) - 2*b) + x/(2*b*tanh(x) - 2*b) + 1/(2*b*tanh(x) - 2*b), Eq(a, -b)), (x*tanh(x)/(2*b*tanh(x) + 2*b) + x/(2*b*tanh(x) + 2*b) - 1/(2*b*tanh(x) + 2*b), Eq(a, b)), (x/a, Eq(b, 0)), (a*x/(a**2 - b**2) - b*x/(a**2 - b**2) - b*log(a/b + tanh(x))/(a**2 - b**2) + b*log(tanh(x) + 1)/(a**2 - b**2), True))","A",0
139,0,0,0,0.000000," ","integrate(coth(x)/(a+b*tanh(x)),x)","\int \frac{\coth{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)/(a + b*tanh(x)), x)","F",0
140,0,0,0,0.000000," ","integrate(coth(x)**2/(a+b*tanh(x)),x)","\int \frac{\coth^{2}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)**2/(a + b*tanh(x)), x)","F",0
141,0,0,0,0.000000," ","integrate(coth(x)**3/(a+b*tanh(x)),x)","\int \frac{\coth^{3}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)**3/(a + b*tanh(x)), x)","F",0
142,0,0,0,0.000000," ","integrate(coth(x)**4/(a+b*tanh(x)),x)","\int \frac{\coth^{4}{\left(x \right)}}{a + b \tanh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)**4/(a + b*tanh(x)), x)","F",0
143,0,0,0,0.000000," ","integrate(x*sech(x)**2/(a+b*tanh(x))**2,x)","\int \frac{x \operatorname{sech}^{2}{\left(x \right)}}{\left(a + b \tanh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(x*sech(x)**2/(a + b*tanh(x))**2, x)","F",0
144,0,0,0,0.000000," ","integrate(x*sech(d*x+c)**2/(a+b*tanh(d*x+c)**2),x)","\int \frac{x \operatorname{sech}^{2}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(x*sech(c + d*x)**2/(a + b*tanh(c + d*x)**2), x)","F",0
145,0,0,0,0.000000," ","integrate(x**2*sech(d*x+c)**2/(a+b*tanh(d*x+c)**2),x)","\int \frac{x^{2} \operatorname{sech}^{2}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(x**2*sech(c + d*x)**2/(a + b*tanh(c + d*x)**2), x)","F",0
146,0,0,0,0.000000," ","integrate(x**3*tanh(a+2*ln(x)),x)","\int x^{3} \tanh{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(x**3*tanh(a + 2*log(x)), x)","F",0
147,0,0,0,0.000000," ","integrate(x**2*tanh(a+2*ln(x)),x)","\int x^{2} \tanh{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(x**2*tanh(a + 2*log(x)), x)","F",0
148,0,0,0,0.000000," ","integrate(x*tanh(a+2*ln(x)),x)","\int x \tanh{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(x*tanh(a + 2*log(x)), x)","F",0
149,0,0,0,0.000000," ","integrate(tanh(a+2*ln(x)),x)","\int \tanh{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(tanh(a + 2*log(x)), x)","F",0
150,1,15,0,0.231080," ","integrate(tanh(a+2*ln(x))/x,x)","\log{\left(x \right)} - \frac{\log{\left(\tanh{\left(a + 2 \log{\left(x \right)} \right)} + 1 \right)}}{2}"," ",0,"log(x) - log(tanh(a + 2*log(x)) + 1)/2","A",0
151,0,0,0,0.000000," ","integrate(tanh(a+2*ln(x))/x**2,x)","\int \frac{\tanh{\left(a + 2 \log{\left(x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(tanh(a + 2*log(x))/x**2, x)","F",0
152,0,0,0,0.000000," ","integrate(tanh(a+2*ln(x))/x**3,x)","\int \frac{\tanh{\left(a + 2 \log{\left(x \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(tanh(a + 2*log(x))/x**3, x)","F",0
153,0,0,0,0.000000," ","integrate(x**3*tanh(a+2*ln(x))**2,x)","\int x^{3} \tanh^{2}{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(x**3*tanh(a + 2*log(x))**2, x)","F",0
154,0,0,0,0.000000," ","integrate(x**2*tanh(a+2*ln(x))**2,x)","\int x^{2} \tanh^{2}{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(x**2*tanh(a + 2*log(x))**2, x)","F",0
155,0,0,0,0.000000," ","integrate(x*tanh(a+2*ln(x))**2,x)","\int x \tanh^{2}{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(x*tanh(a + 2*log(x))**2, x)","F",0
156,0,0,0,0.000000," ","integrate(tanh(a+2*ln(x))**2,x)","\int \tanh^{2}{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(tanh(a + 2*log(x))**2, x)","F",0
157,1,12,0,0.364997," ","integrate(tanh(a+2*ln(x))**2/x,x)","\log{\left(x \right)} - \frac{\tanh{\left(a + 2 \log{\left(x \right)} \right)}}{2}"," ",0,"log(x) - tanh(a + 2*log(x))/2","A",0
158,0,0,0,0.000000," ","integrate(tanh(a+2*ln(x))**2/x**2,x)","\int \frac{\tanh^{2}{\left(a + 2 \log{\left(x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(tanh(a + 2*log(x))**2/x**2, x)","F",0
159,0,0,0,0.000000," ","integrate(tanh(a+2*ln(x))**2/x**3,x)","\int \frac{\tanh^{2}{\left(a + 2 \log{\left(x \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(tanh(a + 2*log(x))**2/x**3, x)","F",0
160,0,0,0,0.000000," ","integrate((e*x)**m*tanh(a+2*ln(x)),x)","\int \left(e x\right)^{m} \tanh{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tanh(a + 2*log(x)), x)","F",0
161,0,0,0,0.000000," ","integrate((e*x)**m*tanh(a+2*ln(x))**2,x)","\int \left(e x\right)^{m} \tanh^{2}{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tanh(a + 2*log(x))**2, x)","F",0
162,0,0,0,0.000000," ","integrate((e*x)**m*tanh(a+2*ln(x))**3,x)","\int \left(e x\right)^{m} \tanh^{3}{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tanh(a + 2*log(x))**3, x)","F",0
163,0,0,0,0.000000," ","integrate(tanh(a+b*ln(x))**p,x)","\int \tanh^{p}{\left(a + b \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(tanh(a + b*log(x))**p, x)","F",0
164,0,0,0,0.000000," ","integrate((e*x)**m*tanh(a+b*ln(x))**p,x)","\int \left(e x\right)^{m} \tanh^{p}{\left(a + b \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tanh(a + b*log(x))**p, x)","F",0
165,0,0,0,0.000000," ","integrate(tanh(a+1/2*ln(x))**p,x)","\int \tanh^{p}{\left(a + \frac{\log{\left(x \right)}}{2} \right)}\, dx"," ",0,"Integral(tanh(a + log(x)/2)**p, x)","F",0
166,0,0,0,0.000000," ","integrate(tanh(a+1/4*ln(x))**p,x)","\int \tanh^{p}{\left(a + \frac{\log{\left(x \right)}}{4} \right)}\, dx"," ",0,"Integral(tanh(a + log(x)/4)**p, x)","F",0
167,0,0,0,0.000000," ","integrate(tanh(a+1/6*ln(x))**p,x)","\int \tanh^{p}{\left(a + \frac{\log{\left(x \right)}}{6} \right)}\, dx"," ",0,"Integral(tanh(a + log(x)/6)**p, x)","F",0
168,0,0,0,0.000000," ","integrate(tanh(a+1/8*ln(x))**p,x)","\int \tanh^{p}{\left(a + \frac{\log{\left(x \right)}}{8} \right)}\, dx"," ",0,"Integral(tanh(a + log(x)/8)**p, x)","F",0
169,0,0,0,0.000000," ","integrate(tanh(a+ln(x))**p,x)","\int \tanh^{p}{\left(a + \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(tanh(a + log(x))**p, x)","F",0
170,0,0,0,0.000000," ","integrate(tanh(a+2*ln(x))**p,x)","\int \tanh^{p}{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(tanh(a + 2*log(x))**p, x)","F",0
171,0,0,0,0.000000," ","integrate(tanh(a+3*ln(x))**p,x)","\int \tanh^{p}{\left(a + 3 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(tanh(a + 3*log(x))**p, x)","F",0
172,0,0,0,0.000000," ","integrate(x**3*tanh(d*(a+b*ln(c*x**n))),x)","\int x^{3} \tanh{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**3*tanh(a*d + b*d*log(c*x**n)), x)","F",0
173,0,0,0,0.000000," ","integrate(x**2*tanh(d*(a+b*ln(c*x**n))),x)","\int x^{2} \tanh{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*tanh(a*d + b*d*log(c*x**n)), x)","F",0
174,0,0,0,0.000000," ","integrate(x*tanh(d*(a+b*ln(c*x**n))),x)","\int x \tanh{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*tanh(a*d + b*d*log(c*x**n)), x)","F",0
175,0,0,0,0.000000," ","integrate(tanh(d*(a+b*ln(c*x**n))),x)","\int \tanh{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(tanh(d*(a + b*log(c*x**n))), x)","F",0
176,1,36,0,3.082870," ","integrate(tanh(d*(a+b*ln(c*x**n)))/x,x)","- \frac{\log{\left(b d n \tanh^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)} - b d n \right)}}{2 b d n}"," ",0,"-log(b*d*n*tanh(a*d + b*d*log(c*x**n))**2 - b*d*n)/(2*b*d*n)","A",0
177,0,0,0,0.000000," ","integrate(tanh(d*(a+b*ln(c*x**n)))/x**2,x)","\int \frac{\tanh{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(tanh(a*d + b*d*log(c*x**n))/x**2, x)","F",0
178,0,0,0,0.000000," ","integrate(tanh(d*(a+b*ln(c*x**n)))/x**3,x)","\int \frac{\tanh{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(tanh(a*d + b*d*log(c*x**n))/x**3, x)","F",0
179,-1,0,0,0.000000," ","integrate(x**3*tanh(d*(a+b*ln(c*x**n)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
180,0,0,0,0.000000," ","integrate(x**2*tanh(d*(a+b*ln(c*x**n)))**2,x)","\int x^{2} \tanh^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*tanh(a*d + b*d*log(c*x**n))**2, x)","F",0
181,0,0,0,0.000000," ","integrate(x*tanh(d*(a+b*ln(c*x**n)))**2,x)","\int x \tanh^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*tanh(a*d + b*d*log(c*x**n))**2, x)","F",0
182,0,0,0,0.000000," ","integrate(tanh(d*(a+b*ln(c*x**n)))**2,x)","\int \tanh^{2}{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(tanh(d*(a + b*log(c*x**n)))**2, x)","F",0
183,1,70,0,6.719136," ","integrate(tanh(d*(a+b*ln(c*x**n)))**2/x,x)","- \frac{\log{\left(\tanh{\left(a d + b d \log{\left(c x^{n} \right)} \right)} - 1 \right)}}{2 b d n} + \frac{\log{\left(\tanh{\left(a d + b d \log{\left(c x^{n} \right)} \right)} + 1 \right)}}{2 b d n} - \frac{\tanh{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{b d n}"," ",0,"-log(tanh(a*d + b*d*log(c*x**n)) - 1)/(2*b*d*n) + log(tanh(a*d + b*d*log(c*x**n)) + 1)/(2*b*d*n) - tanh(a*d + b*d*log(c*x**n))/(b*d*n)","B",0
184,0,0,0,0.000000," ","integrate(tanh(d*(a+b*ln(c*x**n)))**2/x**2,x)","\int \frac{\tanh^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(tanh(a*d + b*d*log(c*x**n))**2/x**2, x)","F",0
185,0,0,0,0.000000," ","integrate(tanh(d*(a+b*ln(c*x**n)))**2/x**3,x)","\int \frac{\tanh^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(tanh(a*d + b*d*log(c*x**n))**2/x**3, x)","F",0
186,1,75,0,3.709332," ","integrate(tanh(a+b*ln(c*x**n))**3/x,x)","\begin{cases} \log{\left(x \right)} \tanh^{3}{\left(a \right)} & \text{for}\: b = 0 \wedge n = 0 \\\log{\left(x \right)} \tanh^{3}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\log{\left(x \right)} \tanh^{3}{\left(a \right)} & \text{for}\: b = 0 \\\log{\left(x \right)} - \frac{\log{\left(\tanh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} + 1 \right)}}{b n} - \frac{\tanh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{2 b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*tanh(a)**3, Eq(b, 0) & Eq(n, 0)), (log(x)*tanh(a + b*log(c))**3, Eq(n, 0)), (log(x)*tanh(a)**3, Eq(b, 0)), (log(x) - log(tanh(a + b*n*log(x) + b*log(c)) + 1)/(b*n) - tanh(a + b*n*log(x) + b*log(c))**2/(2*b*n), True))","A",0
187,1,71,0,8.470265," ","integrate(tanh(a+b*ln(c*x**n))**4/x,x)","\begin{cases} \log{\left(x \right)} \tanh^{4}{\left(a \right)} & \text{for}\: b = 0 \wedge n = 0 \\\log{\left(x \right)} \tanh^{4}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\log{\left(x \right)} \tanh^{4}{\left(a \right)} & \text{for}\: b = 0 \\\log{\left(x \right)} - \frac{\tanh^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{3 b n} - \frac{\tanh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*tanh(a)**4, Eq(b, 0) & Eq(n, 0)), (log(x)*tanh(a + b*log(c))**4, Eq(n, 0)), (log(x)*tanh(a)**4, Eq(b, 0)), (log(x) - tanh(a + b*n*log(x) + b*log(c))**3/(3*b*n) - tanh(a + b*n*log(x) + b*log(c))/(b*n), True))","A",0
188,1,97,0,19.599961," ","integrate(tanh(a+b*ln(c*x**n))**5/x,x)","\begin{cases} \log{\left(x \right)} \tanh^{5}{\left(a \right)} & \text{for}\: b = 0 \wedge n = 0 \\\log{\left(x \right)} \tanh^{5}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\log{\left(x \right)} \tanh^{5}{\left(a \right)} & \text{for}\: b = 0 \\\log{\left(x \right)} - \frac{\log{\left(\tanh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} + 1 \right)}}{b n} - \frac{\tanh^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b n} - \frac{\tanh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{2 b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*tanh(a)**5, Eq(b, 0) & Eq(n, 0)), (log(x)*tanh(a + b*log(c))**5, Eq(n, 0)), (log(x)*tanh(a)**5, Eq(b, 0)), (log(x) - log(tanh(a + b*n*log(x) + b*log(c)) + 1)/(b*n) - tanh(a + b*n*log(x) + b*log(c))**4/(4*b*n) - tanh(a + b*n*log(x) + b*log(c))**2/(2*b*n), True))","A",0
189,0,0,0,0.000000," ","integrate((e*x)**m*tanh(d*(a+b*ln(c*x**n))),x)","\int \left(e x\right)^{m} \tanh{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tanh(a*d + b*d*log(c*x**n)), x)","F",0
190,0,0,0,0.000000," ","integrate((e*x)**m*tanh(d*(a+b*ln(c*x**n)))**2,x)","\int \left(e x\right)^{m} \tanh^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tanh(a*d + b*d*log(c*x**n))**2, x)","F",0
191,0,0,0,0.000000," ","integrate((e*x)**m*tanh(d*(a+b*ln(c*x**n)))**3,x)","\int \left(e x\right)^{m} \tanh^{3}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tanh(a*d + b*d*log(c*x**n))**3, x)","F",0
192,0,0,0,0.000000," ","integrate(tanh(d*(a+b*ln(c*x**n)))**p,x)","\int \tanh^{p}{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(tanh(d*(a + b*log(c*x**n)))**p, x)","F",0
193,-1,0,0,0.000000," ","integrate((e*x)**m*tanh(d*(a+b*ln(c*x**n)))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
194,-1,0,0,0.000000," ","integrate(tanh(a+b*ln(c*x**n))**(5/2)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
195,0,0,0,0.000000," ","integrate(tanh(a+b*ln(c*x**n))**(3/2)/x,x)","\int \frac{\tanh^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(tanh(a + b*log(c*x**n))**(3/2)/x, x)","F",0
196,1,66,0,2.581348," ","integrate(tanh(a+b*ln(c*x**n))**(1/2)/x,x)","- \frac{\log{\left(\sqrt{\tanh{\left(a + b \log{\left(c x^{n} \right)} \right)}} - 1 \right)}}{2 b n} + \frac{\log{\left(\sqrt{\tanh{\left(a + b \log{\left(c x^{n} \right)} \right)}} + 1 \right)}}{2 b n} - \frac{\operatorname{atan}{\left(\sqrt{\tanh{\left(a + b \log{\left(c x^{n} \right)} \right)}} \right)}}{b n}"," ",0,"-log(sqrt(tanh(a + b*log(c*x**n))) - 1)/(2*b*n) + log(sqrt(tanh(a + b*log(c*x**n))) + 1)/(2*b*n) - atan(sqrt(tanh(a + b*log(c*x**n))))/(b*n)","A",0
197,1,66,0,4.194585," ","integrate(1/x/tanh(a+b*ln(c*x**n))**(1/2),x)","- \frac{\log{\left(\sqrt{\tanh{\left(a + b \log{\left(c x^{n} \right)} \right)}} - 1 \right)}}{2 b n} + \frac{\log{\left(\sqrt{\tanh{\left(a + b \log{\left(c x^{n} \right)} \right)}} + 1 \right)}}{2 b n} + \frac{\operatorname{atan}{\left(\sqrt{\tanh{\left(a + b \log{\left(c x^{n} \right)} \right)}} \right)}}{b n}"," ",0,"-log(sqrt(tanh(a + b*log(c*x**n))) - 1)/(2*b*n) + log(sqrt(tanh(a + b*log(c*x**n))) + 1)/(2*b*n) + atan(sqrt(tanh(a + b*log(c*x**n))))/(b*n)","A",0
198,0,0,0,0.000000," ","integrate(1/x/tanh(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{x \tanh^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(1/(x*tanh(a + b*log(c*x**n))**(3/2)), x)","F",0
199,-1,0,0,0.000000," ","integrate(1/x/tanh(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
200,0,0,0,0.000000," ","integrate(tanh(x)**5/(a+b*tanh(x)**2+c*tanh(x)**4)**(1/2),x)","\int \frac{\tanh^{5}{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)} + c \tanh^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)**5/sqrt(a + b*tanh(x)**2 + c*tanh(x)**4), x)","F",0
201,0,0,0,0.000000," ","integrate(tanh(x)**3/(a+b*tanh(x)**2+c*tanh(x)**4)**(1/2),x)","\int \frac{\tanh^{3}{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)} + c \tanh^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)**3/sqrt(a + b*tanh(x)**2 + c*tanh(x)**4), x)","F",0
202,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*tanh(x)**2+c*tanh(x)**4)**(1/2),x)","\int \frac{\tanh{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)} + c \tanh^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)/sqrt(a + b*tanh(x)**2 + c*tanh(x)**4), x)","F",0
203,0,0,0,0.000000," ","integrate(coth(x)/(a+b*tanh(x)**2+c*tanh(x)**4)**(1/2),x)","\int \frac{\coth{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)} + c \tanh^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(coth(x)/sqrt(a + b*tanh(x)**2 + c*tanh(x)**4), x)","F",0
204,0,0,0,0.000000," ","integrate(coth(x)**3/(a+b*tanh(x)**2+c*tanh(x)**4)**(1/2),x)","\int \frac{\coth^{3}{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)} + c \tanh^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(coth(x)**3/sqrt(a + b*tanh(x)**2 + c*tanh(x)**4), x)","F",0
205,0,0,0,0.000000," ","integrate((a+b*tanh(x)**2+c*tanh(x)**4)**(1/2)*tanh(x),x)","\int \sqrt{a + b \tanh^{2}{\left(x \right)} + c \tanh^{4}{\left(x \right)}} \tanh{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*tanh(x)**2 + c*tanh(x)**4)*tanh(x), x)","F",0
206,0,0,0,0.000000," ","integrate(exp(b*x+a)*tanh(b*x+a)**4,x)","e^{a} \int e^{b x} \tanh^{4}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*tanh(a + b*x)**4, x)","F",0
207,0,0,0,0.000000," ","integrate(exp(b*x+a)*tanh(b*x+a)**3,x)","e^{a} \int e^{b x} \tanh^{3}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*tanh(a + b*x)**3, x)","F",0
208,0,0,0,0.000000," ","integrate(exp(b*x+a)*tanh(b*x+a)**2,x)","e^{a} \int e^{b x} \tanh^{2}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*tanh(a + b*x)**2, x)","F",0
209,0,0,0,0.000000," ","integrate(exp(b*x+a)*tanh(b*x+a),x)","e^{a} \int e^{b x} \tanh{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*tanh(a + b*x), x)","F",0
210,0,0,0,0.000000," ","integrate(exp(b*x+a)*coth(b*x+a),x)","e^{a} \int e^{b x} \coth{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*coth(a + b*x), x)","F",0
211,0,0,0,0.000000," ","integrate(exp(b*x+a)*coth(b*x+a)**2,x)","e^{a} \int e^{b x} \coth^{2}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*coth(a + b*x)**2, x)","F",0
212,0,0,0,0.000000," ","integrate(exp(b*x+a)*coth(b*x+a)**3,x)","e^{a} \int e^{b x} \coth^{3}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*coth(a + b*x)**3, x)","F",0
213,0,0,0,0.000000," ","integrate(exp(b*x+a)*coth(b*x+a)**4,x)","e^{a} \int e^{b x} \coth^{4}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*coth(a + b*x)**4, x)","F",0
214,0,0,0,0.000000," ","integrate(exp(x)*tanh(2*x)**2,x)","\int e^{x} \tanh^{2}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*tanh(2*x)**2, x)","F",0
215,0,0,0,0.000000," ","integrate(exp(x)*tanh(2*x),x)","\int e^{x} \tanh{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*tanh(2*x), x)","F",0
216,0,0,0,0.000000," ","integrate(exp(x)*coth(2*x),x)","\int e^{x} \coth{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*coth(2*x), x)","F",0
217,0,0,0,0.000000," ","integrate(exp(x)*coth(2*x)**2,x)","\int e^{x} \coth^{2}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*coth(2*x)**2, x)","F",0
218,0,0,0,0.000000," ","integrate(exp(x)*tanh(3*x)**2,x)","\int e^{x} \tanh^{2}{\left(3 x \right)}\, dx"," ",0,"Integral(exp(x)*tanh(3*x)**2, x)","F",0
219,0,0,0,0.000000," ","integrate(exp(x)*tanh(3*x),x)","\int e^{x} \tanh{\left(3 x \right)}\, dx"," ",0,"Integral(exp(x)*tanh(3*x), x)","F",0
220,0,0,0,0.000000," ","integrate(exp(x)*coth(3*x),x)","\int e^{x} \coth{\left(3 x \right)}\, dx"," ",0,"Integral(exp(x)*coth(3*x), x)","F",0
221,0,0,0,0.000000," ","integrate(exp(x)*coth(3*x)**2,x)","\int e^{x} \coth^{2}{\left(3 x \right)}\, dx"," ",0,"Integral(exp(x)*coth(3*x)**2, x)","F",0
222,0,0,0,0.000000," ","integrate(exp(x)*tanh(4*x)**2,x)","\int e^{x} \tanh^{2}{\left(4 x \right)}\, dx"," ",0,"Integral(exp(x)*tanh(4*x)**2, x)","F",0
223,0,0,0,0.000000," ","integrate(exp(x)*tanh(4*x),x)","\int e^{x} \tanh{\left(4 x \right)}\, dx"," ",0,"Integral(exp(x)*tanh(4*x), x)","F",0
224,0,0,0,0.000000," ","integrate(exp(x)*coth(4*x),x)","\int e^{x} \coth{\left(4 x \right)}\, dx"," ",0,"Integral(exp(x)*coth(4*x), x)","F",0
225,0,0,0,0.000000," ","integrate(exp(x)*coth(4*x)**2,x)","\int e^{x} \coth^{2}{\left(4 x \right)}\, dx"," ",0,"Integral(exp(x)*coth(4*x)**2, x)","F",0
226,0,0,0,0.000000," ","integrate(exp(x)/(a-tanh(2*x)),x)","\int \frac{e^{x}}{a - \tanh{\left(2 x \right)}}\, dx"," ",0,"Integral(exp(x)/(a - tanh(2*x)), x)","F",0
227,0,0,0,0.000000," ","integrate(exp(x)/(a-tanh(2*x))**2,x)","\int \frac{e^{x}}{\left(a - \tanh{\left(2 x \right)}\right)^{2}}\, dx"," ",0,"Integral(exp(x)/(a - tanh(2*x))**2, x)","F",0
228,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tanh(e*x+d)**3,x)","e^{a c} \int e^{b c x} \tanh^{3}{\left(d + e x \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*tanh(d + e*x)**3, x)","F",0
229,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tanh(e*x+d)**2,x)","e^{a c} \int e^{b c x} \tanh^{2}{\left(d + e x \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*tanh(d + e*x)**2, x)","F",0
230,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tanh(e*x+d),x)","e^{a c} \int e^{b c x} \tanh{\left(d + e x \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*tanh(d + e*x), x)","F",0
231,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*coth(e*x+d),x)","e^{a c} \int e^{b c x} \coth{\left(d + e x \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*coth(d + e*x), x)","F",0
232,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*coth(e*x+d)**2,x)","e^{a c} \int e^{b c x} \coth^{2}{\left(d + e x \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*coth(d + e*x)**2, x)","F",0
233,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*coth(e*x+d)**3,x)","e^{a c} \int e^{b c x} \coth^{3}{\left(d + e x \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*coth(d + e*x)**3, x)","F",0
234,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*(tanh(b*c*x+a*c)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
235,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*(tanh(b*c*x+a*c)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
236,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*(tanh(b*c*x+a*c)**2)**(1/2),x)","e^{a c} \int \sqrt{\tanh^{2}{\left(a c + b c x \right)}} e^{b c x}\, dx"," ",0,"exp(a*c)*Integral(sqrt(tanh(a*c + b*c*x)**2)*exp(b*c*x), x)","F",0
237,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))/(tanh(b*c*x+a*c)**2)**(1/2),x)","e^{a c} \int \frac{e^{b c x}}{\sqrt{\tanh^{2}{\left(a c + b c x \right)}}}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)/sqrt(tanh(a*c + b*c*x)**2), x)","F",0
238,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))/(tanh(b*c*x+a*c)**2)**(3/2),x)","e^{a c} \int \frac{e^{b c x}}{\left(\tanh^{2}{\left(a c + b c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)/(tanh(a*c + b*c*x)**2)**(3/2), x)","F",0
239,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))/(tanh(b*c*x+a*c)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
240,0,0,0,0.000000," ","integrate(sin(tanh(b*x+a))**3,x)","\int \sin^{3}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(sin(tanh(a + b*x))**3, x)","F",0
241,0,0,0,0.000000," ","integrate(sin(tanh(b*x+a))**2,x)","\int \sin^{2}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(sin(tanh(a + b*x))**2, x)","F",0
242,0,0,0,0.000000," ","integrate(sin(tanh(b*x+a)),x)","\int \sin{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(sin(tanh(a + b*x)), x)","F",0
243,0,0,0,0.000000," ","integrate(csc(tanh(b*x+a)),x)","\int \csc{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(csc(tanh(a + b*x)), x)","F",0
244,0,0,0,0.000000," ","integrate(cos(tanh(b*x+a))**3,x)","\int \cos^{3}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(cos(tanh(a + b*x))**3, x)","F",0
245,0,0,0,0.000000," ","integrate(cos(tanh(b*x+a))**2,x)","\int \cos^{2}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(cos(tanh(a + b*x))**2, x)","F",0
246,0,0,0,0.000000," ","integrate(cos(tanh(b*x+a)),x)","\int \cos{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(cos(tanh(a + b*x)), x)","F",0
247,0,0,0,0.000000," ","integrate(sec(tanh(b*x+a)),x)","\int \sec{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(sec(tanh(a + b*x)), x)","F",0
