1,1,121,0,5.031555," ","integrate(x**5*atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} \frac{5 d^{3} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{96 e^{3}} - \frac{5 d^{2} x \sqrt{d + e x^{2}}}{96 e^{\frac{5}{2}}} + \frac{5 d x^{3} \sqrt{d + e x^{2}}}{144 e^{\frac{3}{2}}} + \frac{x^{6} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{6} - \frac{x^{5} \sqrt{d + e x^{2}}}{36 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((5*d**3*atanh(sqrt(e)*x/sqrt(d + e*x**2))/(96*e**3) - 5*d**2*x*sqrt(d + e*x**2)/(96*e**(5/2)) + 5*d*x**3*sqrt(d + e*x**2)/(144*e**(3/2)) + x**6*atanh(sqrt(e)*x/sqrt(d + e*x**2))/6 - x**5*sqrt(d + e*x**2)/(36*sqrt(e)), Ne(e, 0)), (0, True))","A",0
2,1,95,0,1.715207," ","integrate(x**3*atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} - \frac{3 d^{2} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{32 e^{2}} + \frac{3 d x \sqrt{d + e x^{2}}}{32 e^{\frac{3}{2}}} + \frac{x^{4} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{4} - \frac{x^{3} \sqrt{d + e x^{2}}}{16 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*d**2*atanh(sqrt(e)*x/sqrt(d + e*x**2))/(32*e**2) + 3*d*x*sqrt(d + e*x**2)/(32*e**(3/2)) + x**4*atanh(sqrt(e)*x/sqrt(d + e*x**2))/4 - x**3*sqrt(d + e*x**2)/(16*sqrt(e)), Ne(e, 0)), (0, True))","A",0
3,1,66,0,0.673187," ","integrate(x*atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} \frac{d \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{4 e} + \frac{x^{2} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{2} - \frac{x \sqrt{d + e x^{2}}}{4 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((d*atanh(sqrt(e)*x/sqrt(d + e*x**2))/(4*e) + x**2*atanh(sqrt(e)*x/sqrt(d + e*x**2))/2 - x*sqrt(d + e*x**2)/(4*sqrt(e)), Ne(e, 0)), (0, True))","A",0
4,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x,x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{x}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/x, x)","F",0
5,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**3,x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{x^{3}}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/x**3, x)","F",0
6,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**5,x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{x^{5}}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/x**5, x)","F",0
7,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**7,x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{x^{7}}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/x**7, x)","F",0
8,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**9,x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{x^{9}}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/x**9, x)","F",0
9,1,116,0,8.510732," ","integrate(x**6*atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} \frac{16 d^{3} \sqrt{d + e x^{2}}}{245 e^{\frac{7}{2}}} - \frac{8 d^{2} x^{2} \sqrt{d + e x^{2}}}{245 e^{\frac{5}{2}}} + \frac{6 d x^{4} \sqrt{d + e x^{2}}}{245 e^{\frac{3}{2}}} + \frac{x^{7} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{7} - \frac{x^{6} \sqrt{d + e x^{2}}}{49 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((16*d**3*sqrt(d + e*x**2)/(245*e**(7/2)) - 8*d**2*x**2*sqrt(d + e*x**2)/(245*e**(5/2)) + 6*d*x**4*sqrt(d + e*x**2)/(245*e**(3/2)) + x**7*atanh(sqrt(e)*x/sqrt(d + e*x**2))/7 - x**6*sqrt(d + e*x**2)/(49*sqrt(e)), Ne(e, 0)), (0, True))","A",0
10,1,90,0,2.938133," ","integrate(x**4*atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} - \frac{8 d^{2} \sqrt{d + e x^{2}}}{75 e^{\frac{5}{2}}} + \frac{4 d x^{2} \sqrt{d + e x^{2}}}{75 e^{\frac{3}{2}}} + \frac{x^{5} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{5} - \frac{x^{4} \sqrt{d + e x^{2}}}{25 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((-8*d**2*sqrt(d + e*x**2)/(75*e**(5/2)) + 4*d*x**2*sqrt(d + e*x**2)/(75*e**(3/2)) + x**5*atanh(sqrt(e)*x/sqrt(d + e*x**2))/5 - x**4*sqrt(d + e*x**2)/(25*sqrt(e)), Ne(e, 0)), (0, True))","A",0
11,1,65,0,1.030593," ","integrate(x**2*atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} \frac{2 d \sqrt{d + e x^{2}}}{9 e^{\frac{3}{2}}} + \frac{x^{3} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{3} - \frac{x^{2} \sqrt{d + e x^{2}}}{9 \sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*d*sqrt(d + e*x**2)/(9*e**(3/2)) + x**3*atanh(sqrt(e)*x/sqrt(d + e*x**2))/3 - x**2*sqrt(d + e*x**2)/(9*sqrt(e)), Ne(e, 0)), (0, True))","A",0
12,1,36,0,0.627984," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\begin{cases} x \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)} - \frac{\sqrt{d + e x^{2}}}{\sqrt{e}} & \text{for}\: e \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*atanh(sqrt(e)*x/sqrt(d + e*x**2)) - sqrt(d + e*x**2)/sqrt(e), Ne(e, 0)), (0, True))","A",0
13,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**2,x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{x^{2}}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/x**2, x)","F",0
14,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**4,x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{x^{4}}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/x**4, x)","F",0
15,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**6,x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{x^{6}}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/x**6, x)","F",0
16,-1,0,0,0.000000," ","integrate(x**(9/2)*atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,0,0,0,0.000000," ","integrate(x**(5/2)*atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\int x^{\frac{5}{2}} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}\, dx"," ",0,"Integral(x**(5/2)*atanh(sqrt(e)*x/sqrt(d + e*x**2)), x)","F",0
18,0,0,0,0.000000," ","integrate(x**(1/2)*atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\int \sqrt{x} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}\, dx"," ",0,"Integral(sqrt(x)*atanh(sqrt(e)*x/sqrt(d + e*x**2)), x)","F",0
19,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**(3/2),x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/x**(3/2), x)","F",0
20,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**(7/2),x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{x^{\frac{7}{2}}}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/x**(7/2), x)","F",0
21,-1,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,-1,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,-1,0,0,0.000000," ","integrate(x**(7/2)*atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,0,0,0,0.000000," ","integrate(x**(3/2)*atanh(x*e**(1/2)/(e*x**2+d)**(1/2)),x)","\int x^{\frac{3}{2}} \operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}\, dx"," ",0,"Integral(x**(3/2)*atanh(sqrt(e)*x/sqrt(d + e*x**2)), x)","F",0
25,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**(1/2),x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{\sqrt{x}}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/sqrt(x), x)","F",0
26,0,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**(5/2),x)","\int \frac{\operatorname{atanh}{\left(\frac{\sqrt{e} x}{\sqrt{d + e x^{2}}} \right)}}{x^{\frac{5}{2}}}\, dx"," ",0,"Integral(atanh(sqrt(e)*x/sqrt(d + e*x**2))/x**(5/2), x)","F",0
27,-1,0,0,0.000000," ","integrate(atanh(x*e**(1/2)/(e*x**2+d)**(1/2))/x**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
28,1,60,0,4.180071," ","integrate(x**3*atanh(b*x**4+a),x)","\begin{cases} \frac{a \operatorname{atanh}{\left(a + b x^{4} \right)}}{4 b} + \frac{x^{4} \operatorname{atanh}{\left(a + b x^{4} \right)}}{4} + \frac{\log{\left(a + b x^{4} + 1 \right)}}{4 b} - \frac{\operatorname{atanh}{\left(a + b x^{4} \right)}}{4 b} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{atanh}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*atanh(a + b*x**4)/(4*b) + x**4*atanh(a + b*x**4)/4 + log(a + b*x**4 + 1)/(4*b) - atanh(a + b*x**4)/(4*b), Ne(b, 0)), (x**4*atanh(a)/4, True))","A",0
29,-1,0,0,0.000000," ","integrate(x**(-1+n)*atanh(a+b*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,0,0,0,0.000000," ","integrate((a+b*atanh((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**n/(-c**2*x**2+1),x)","- \int \frac{\left(a + b \operatorname{atanh}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}\right)^{n}}{c^{2} x^{2} - 1}\, dx"," ",0,"-Integral((a + b*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1)))**n/(c**2*x**2 - 1), x)","F",0
31,0,0,0,0.000000," ","integrate((a+b*atanh((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**3/(-c**2*x**2+1),x)","- \int \frac{a^{3}}{c^{2} x^{2} - 1}\, dx - \int \frac{b^{3} \operatorname{atanh}^{3}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}}{c^{2} x^{2} - 1}\, dx - \int \frac{3 a b^{2} \operatorname{atanh}^{2}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}}{c^{2} x^{2} - 1}\, dx - \int \frac{3 a^{2} b \operatorname{atanh}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}}{c^{2} x^{2} - 1}\, dx"," ",0,"-Integral(a**3/(c**2*x**2 - 1), x) - Integral(b**3*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1))**3/(c**2*x**2 - 1), x) - Integral(3*a*b**2*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1))**2/(c**2*x**2 - 1), x) - Integral(3*a**2*b*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1))/(c**2*x**2 - 1), x)","F",0
32,0,0,0,0.000000," ","integrate((a+b*atanh((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**2/(-c**2*x**2+1),x)","- \int \frac{a^{2}}{c^{2} x^{2} - 1}\, dx - \int \frac{b^{2} \operatorname{atanh}^{2}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}}{c^{2} x^{2} - 1}\, dx - \int \frac{2 a b \operatorname{atanh}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}}{c^{2} x^{2} - 1}\, dx"," ",0,"-Integral(a**2/(c**2*x**2 - 1), x) - Integral(b**2*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1))**2/(c**2*x**2 - 1), x) - Integral(2*a*b*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1))/(c**2*x**2 - 1), x)","F",0
33,0,0,0,0.000000," ","integrate((a+b*atanh((-c*x+1)**(1/2)/(c*x+1)**(1/2)))/(-c**2*x**2+1),x)","- \int \frac{a}{c^{2} x^{2} - 1}\, dx - \int \frac{b \operatorname{atanh}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}}{c^{2} x^{2} - 1}\, dx"," ",0,"-Integral(a/(c**2*x**2 - 1), x) - Integral(b*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1))/(c**2*x**2 - 1), x)","F",0
34,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)/(a+b*atanh((-c*x+1)**(1/2)/(c*x+1)**(1/2))),x)","- \int \frac{1}{a c^{2} x^{2} - a + b c^{2} x^{2} \operatorname{atanh}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} - b \operatorname{atanh}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}}\, dx"," ",0,"-Integral(1/(a*c**2*x**2 - a + b*c**2*x**2*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1)) - b*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1))), x)","F",0
35,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)/(a+b*atanh((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**2,x)","- \int \frac{1}{a^{2} c^{2} x^{2} - a^{2} + 2 a b c^{2} x^{2} \operatorname{atanh}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} - 2 a b \operatorname{atanh}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} + b^{2} c^{2} x^{2} \operatorname{atanh}^{2}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} - b^{2} \operatorname{atanh}^{2}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}}\, dx"," ",0,"-Integral(1/(a**2*c**2*x**2 - a**2 + 2*a*b*c**2*x**2*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1)) - 2*a*b*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + b**2*c**2*x**2*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1))**2 - b**2*atanh(sqrt(-c*x + 1)/sqrt(c*x + 1))**2), x)","F",0
36,0,0,0,0.000000," ","integrate(x**m*atanh(tanh(b*x+a)),x)","\begin{cases} b \log{\left(x \right)} - \frac{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{x} & \text{for}\: m = -2 \\\int \frac{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx & \text{for}\: m = -1 \\- \frac{b x^{2} x^{m}}{m^{2} + 3 m + 2} + \frac{m x x^{m} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{2} + 3 m + 2} + \frac{2 x x^{m} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{2} + 3 m + 2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*log(x) - atanh(tanh(a + b*x))/x, Eq(m, -2)), (Integral(atanh(tanh(a + b*x))/x, x), Eq(m, -1)), (-b*x**2*x**m/(m**2 + 3*m + 2) + m*x*x**m*atanh(tanh(a + b*x))/(m**2 + 3*m + 2) + 2*x*x**m*atanh(tanh(a + b*x))/(m**2 + 3*m + 2), True))","F",0
37,1,19,0,0.388885," ","integrate(x**2*atanh(tanh(b*x+a)),x)","- \frac{b x^{4}}{12} + \frac{x^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{3}"," ",0,"-b*x**4/12 + x**3*atanh(tanh(a + b*x))/3","A",0
38,1,19,0,0.227535," ","integrate(x*atanh(tanh(b*x+a)),x)","- \frac{b x^{3}}{6} + \frac{x^{2} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{2}"," ",0,"-b*x**3/6 + x**2*atanh(tanh(a + b*x))/2","A",0
39,1,19,0,0.162418," ","integrate(atanh(tanh(b*x+a)),x)","\begin{cases} \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 b} & \text{for}\: b \neq 0 \\x \operatorname{atanh}{\left(\tanh{\left(a \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((atanh(tanh(a + b*x))**2/(2*b), Ne(b, 0)), (x*atanh(tanh(a)), True))","A",0
40,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))/x,x)","\int \frac{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))/x, x)","F",0
41,1,14,0,0.237686," ","integrate(atanh(tanh(b*x+a))/x**2,x)","b \log{\left(x \right)} - \frac{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{x}"," ",0,"b*log(x) - atanh(tanh(a + b*x))/x","A",0
42,1,19,0,0.512796," ","integrate(atanh(tanh(b*x+a))/x**3,x)","- \frac{b}{2 x} - \frac{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}}"," ",0,"-b/(2*x) - atanh(tanh(a + b*x))/(2*x**2)","A",0
43,1,20,0,0.784724," ","integrate(atanh(tanh(b*x+a))/x**4,x)","- \frac{b}{6 x^{2}} - \frac{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{3}}"," ",0,"-b/(6*x**2) - atanh(tanh(a + b*x))/(3*x**3)","A",0
44,0,0,0,0.000000," ","integrate(x**m*atanh(tanh(b*x+a))**2,x)","\begin{cases} b^{2} \log{\left(x \right)} - \frac{b \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{x} - \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}} & \text{for}\: m = -3 \\\int \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx & \text{for}\: m = -2 \\\int \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx & \text{for}\: m = -1 \\\frac{2 b^{2} x^{3} x^{m}}{m^{3} + 6 m^{2} + 11 m + 6} - \frac{2 b m x^{2} x^{m} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{3} + 6 m^{2} + 11 m + 6} - \frac{6 b x^{2} x^{m} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{m^{2} x x^{m} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{5 m x x^{m} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{6 x x^{m} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{3} + 6 m^{2} + 11 m + 6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b**2*log(x) - b*atanh(tanh(a + b*x))/x - atanh(tanh(a + b*x))**2/(2*x**2), Eq(m, -3)), (Integral(atanh(tanh(a + b*x))**2/x**2, x), Eq(m, -2)), (Integral(atanh(tanh(a + b*x))**2/x, x), Eq(m, -1)), (2*b**2*x**3*x**m/(m**3 + 6*m**2 + 11*m + 6) - 2*b*m*x**2*x**m*atanh(tanh(a + b*x))/(m**3 + 6*m**2 + 11*m + 6) - 6*b*x**2*x**m*atanh(tanh(a + b*x))/(m**3 + 6*m**2 + 11*m + 6) + m**2*x*x**m*atanh(tanh(a + b*x))**2/(m**3 + 6*m**2 + 11*m + 6) + 5*m*x*x**m*atanh(tanh(a + b*x))**2/(m**3 + 6*m**2 + 11*m + 6) + 6*x*x**m*atanh(tanh(a + b*x))**2/(m**3 + 6*m**2 + 11*m + 6), True))","F",0
45,1,78,0,2.445388," ","integrate(x**3*atanh(tanh(b*x+a))**2,x)","\begin{cases} \frac{x^{3} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 b} - \frac{x^{2} \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 b^{2}} + \frac{x \operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{10 b^{3}} - \frac{\operatorname{atanh}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{60 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{atanh}^{2}{\left(\tanh{\left(a \right)} \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*atanh(tanh(a + b*x))**3/(3*b) - x**2*atanh(tanh(a + b*x))**4/(4*b**2) + x*atanh(tanh(a + b*x))**5/(10*b**3) - atanh(tanh(a + b*x))**6/(60*b**4), Ne(b, 0)), (x**4*atanh(tanh(a))**2/4, True))","A",0
46,1,60,0,1.231098," ","integrate(x**2*atanh(tanh(b*x+a))**2,x)","\begin{cases} \frac{x^{2} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 b} - \frac{x \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{6 b^{2}} + \frac{\operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{30 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \operatorname{atanh}^{2}{\left(\tanh{\left(a \right)} \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*atanh(tanh(a + b*x))**3/(3*b) - x*atanh(tanh(a + b*x))**4/(6*b**2) + atanh(tanh(a + b*x))**5/(30*b**3), Ne(b, 0)), (x**3*atanh(tanh(a))**2/3, True))","A",0
47,1,41,0,0.630769," ","integrate(x*atanh(tanh(b*x+a))**2,x)","\begin{cases} \frac{x \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 b} - \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{12 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a \right)} \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*atanh(tanh(a + b*x))**3/(3*b) - atanh(tanh(a + b*x))**4/(12*b**2), Ne(b, 0)), (x**2*atanh(tanh(a))**2/2, True))","A",0
48,1,20,0,0.296455," ","integrate(atanh(tanh(b*x+a))**2,x)","\begin{cases} \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 b} & \text{for}\: b \neq 0 \\x \operatorname{atanh}^{2}{\left(\tanh{\left(a \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((atanh(tanh(a + b*x))**3/(3*b), Ne(b, 0)), (x*atanh(tanh(a))**2, True))","A",0
49,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**2/x,x)","\int \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**2/x, x)","F",0
50,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**2/x**2,x)","\int \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**2/x**2, x)","F",0
51,1,32,0,0.522311," ","integrate(atanh(tanh(b*x+a))**2/x**3,x)","b^{2} \log{\left(x \right)} - \frac{b \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{x} - \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}}"," ",0,"b**2*log(x) - b*atanh(tanh(a + b*x))/x - atanh(tanh(a + b*x))**2/(2*x**2)","A",0
52,1,37,0,0.800911," ","integrate(atanh(tanh(b*x+a))**2/x**4,x)","- \frac{b^{2}}{3 x} - \frac{b \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{2}} - \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{3}}"," ",0,"-b**2/(3*x) - b*atanh(tanh(a + b*x))/(3*x**2) - atanh(tanh(a + b*x))**2/(3*x**3)","A",0
53,1,39,0,1.265431," ","integrate(atanh(tanh(b*x+a))**2/x**5,x)","- \frac{b^{2}}{12 x^{2}} - \frac{b \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{6 x^{3}} - \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{4 x^{4}}"," ",0,"-b**2/(12*x**2) - b*atanh(tanh(a + b*x))/(6*x**3) - atanh(tanh(a + b*x))**2/(4*x**4)","A",0
54,0,0,0,0.000000," ","integrate(x**m*atanh(tanh(b*x+a))**3,x)","\begin{cases} b^{3} \log{\left(x \right)} - \frac{b^{2} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{x} - \frac{b \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}} - \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{3}} & \text{for}\: m = -4 \\\int \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{3}}\, dx & \text{for}\: m = -3 \\\int \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx & \text{for}\: m = -2 \\\int \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx & \text{for}\: m = -1 \\- \frac{6 b^{3} x^{4} x^{m}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{6 b^{2} m x^{3} x^{m} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{24 b^{2} x^{3} x^{m} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{3 b m^{2} x^{2} x^{m} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{21 b m x^{2} x^{m} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} - \frac{36 b x^{2} x^{m} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{m^{3} x x^{m} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{9 m^{2} x x^{m} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{26 m x x^{m} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} + \frac{24 x x^{m} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{4} + 10 m^{3} + 35 m^{2} + 50 m + 24} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b**3*log(x) - b**2*atanh(tanh(a + b*x))/x - b*atanh(tanh(a + b*x))**2/(2*x**2) - atanh(tanh(a + b*x))**3/(3*x**3), Eq(m, -4)), (Integral(atanh(tanh(a + b*x))**3/x**3, x), Eq(m, -3)), (Integral(atanh(tanh(a + b*x))**3/x**2, x), Eq(m, -2)), (Integral(atanh(tanh(a + b*x))**3/x, x), Eq(m, -1)), (-6*b**3*x**4*x**m/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 6*b**2*m*x**3*x**m*atanh(tanh(a + b*x))/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 24*b**2*x**3*x**m*atanh(tanh(a + b*x))/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 3*b*m**2*x**2*x**m*atanh(tanh(a + b*x))**2/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 21*b*m*x**2*x**m*atanh(tanh(a + b*x))**2/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 36*b*x**2*x**m*atanh(tanh(a + b*x))**2/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + m**3*x*x**m*atanh(tanh(a + b*x))**3/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 9*m**2*x*x**m*atanh(tanh(a + b*x))**3/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 26*m*x*x**m*atanh(tanh(a + b*x))**3/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 24*x*x**m*atanh(tanh(a + b*x))**3/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24), True))","F",0
55,1,80,0,4.094579," ","integrate(x**3*atanh(tanh(b*x+a))**3,x)","\begin{cases} \frac{x^{3} \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 b} - \frac{3 x^{2} \operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{20 b^{2}} + \frac{x \operatorname{atanh}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{20 b^{3}} - \frac{\operatorname{atanh}^{7}{\left(\tanh{\left(a + b x \right)} \right)}}{140 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{atanh}^{3}{\left(\tanh{\left(a \right)} \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*atanh(tanh(a + b*x))**4/(4*b) - 3*x**2*atanh(tanh(a + b*x))**5/(20*b**2) + x*atanh(tanh(a + b*x))**6/(20*b**3) - atanh(tanh(a + b*x))**7/(140*b**4), Ne(b, 0)), (x**4*atanh(tanh(a))**3/4, True))","A",0
56,1,60,0,2.399514," ","integrate(x**2*atanh(tanh(b*x+a))**3,x)","\begin{cases} \frac{x^{2} \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 b} - \frac{x \operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{10 b^{2}} + \frac{\operatorname{atanh}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{60 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \operatorname{atanh}^{3}{\left(\tanh{\left(a \right)} \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*atanh(tanh(a + b*x))**4/(4*b) - x*atanh(tanh(a + b*x))**5/(10*b**2) + atanh(tanh(a + b*x))**6/(60*b**3), Ne(b, 0)), (x**3*atanh(tanh(a))**3/3, True))","A",0
57,1,41,0,1.197336," ","integrate(x*atanh(tanh(b*x+a))**3,x)","\begin{cases} \frac{x \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 b} - \frac{\operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{20 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \operatorname{atanh}^{3}{\left(\tanh{\left(a \right)} \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*atanh(tanh(a + b*x))**4/(4*b) - atanh(tanh(a + b*x))**5/(20*b**2), Ne(b, 0)), (x**2*atanh(tanh(a))**3/2, True))","A",0
58,1,20,0,0.609389," ","integrate(atanh(tanh(b*x+a))**3,x)","\begin{cases} \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 b} & \text{for}\: b \neq 0 \\x \operatorname{atanh}^{3}{\left(\tanh{\left(a \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((atanh(tanh(a + b*x))**4/(4*b), Ne(b, 0)), (x*atanh(tanh(a))**3, True))","A",0
59,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**3/x,x)","\int \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**3/x, x)","F",0
60,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**3/x**2,x)","\int \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**3/x**2, x)","F",0
61,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**3/x**3,x)","\int \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**3/x**3, x)","F",0
62,1,51,0,0.840258," ","integrate(atanh(tanh(b*x+a))**3/x**4,x)","b^{3} \log{\left(x \right)} - \frac{b^{2} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{x} - \frac{b \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}} - \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{3}}"," ",0,"b**3*log(x) - b**2*atanh(tanh(a + b*x))/x - b*atanh(tanh(a + b*x))**2/(2*x**2) - atanh(tanh(a + b*x))**3/(3*x**3)","A",0
63,1,56,0,1.306181," ","integrate(atanh(tanh(b*x+a))**3/x**5,x)","- \frac{b^{3}}{4 x} - \frac{b^{2} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{4 x^{2}} - \frac{b \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{4 x^{3}} - \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{4 x^{4}}"," ",0,"-b**3/(4*x) - b**2*atanh(tanh(a + b*x))/(4*x**2) - b*atanh(tanh(a + b*x))**2/(4*x**3) - atanh(tanh(a + b*x))**3/(4*x**4)","B",0
64,1,60,0,2.066921," ","integrate(atanh(tanh(b*x+a))**3/x**6,x)","- \frac{b^{3}}{20 x^{2}} - \frac{b^{2} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{10 x^{3}} - \frac{3 b \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{20 x^{4}} - \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{5 x^{5}}"," ",0,"-b**3/(20*x**2) - b**2*atanh(tanh(a + b*x))/(10*x**3) - 3*b*atanh(tanh(a + b*x))**2/(20*x**4) - atanh(tanh(a + b*x))**3/(5*x**5)","A",0
65,0,0,0,0.000000," ","integrate(x**m*atanh(tanh(b*x+a))**4,x)","\begin{cases} b^{4} \log{\left(x \right)} - \frac{b^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{x} - \frac{b^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}} - \frac{b \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{3}} - \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 x^{4}} & \text{for}\: m = -5 \\\int \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{4}}\, dx & \text{for}\: m = -4 \\\int \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{3}}\, dx & \text{for}\: m = -3 \\\int \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx & \text{for}\: m = -2 \\\int \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx & \text{for}\: m = -1 \\\frac{24 b^{4} x^{5} x^{m}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} - \frac{24 b^{3} m x^{4} x^{m} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} - \frac{120 b^{3} x^{4} x^{m} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{12 b^{2} m^{2} x^{3} x^{m} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{108 b^{2} m x^{3} x^{m} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{240 b^{2} x^{3} x^{m} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} - \frac{4 b m^{3} x^{2} x^{m} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} - \frac{48 b m^{2} x^{2} x^{m} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} - \frac{188 b m x^{2} x^{m} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} - \frac{240 b x^{2} x^{m} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{m^{4} x x^{m} \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{14 m^{3} x x^{m} \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{71 m^{2} x x^{m} \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{154 m x x^{m} \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} + \frac{120 x x^{m} \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{5} + 15 m^{4} + 85 m^{3} + 225 m^{2} + 274 m + 120} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b**4*log(x) - b**3*atanh(tanh(a + b*x))/x - b**2*atanh(tanh(a + b*x))**2/(2*x**2) - b*atanh(tanh(a + b*x))**3/(3*x**3) - atanh(tanh(a + b*x))**4/(4*x**4), Eq(m, -5)), (Integral(atanh(tanh(a + b*x))**4/x**4, x), Eq(m, -4)), (Integral(atanh(tanh(a + b*x))**4/x**3, x), Eq(m, -3)), (Integral(atanh(tanh(a + b*x))**4/x**2, x), Eq(m, -2)), (Integral(atanh(tanh(a + b*x))**4/x, x), Eq(m, -1)), (24*b**4*x**5*x**m/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) - 24*b**3*m*x**4*x**m*atanh(tanh(a + b*x))/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) - 120*b**3*x**4*x**m*atanh(tanh(a + b*x))/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 12*b**2*m**2*x**3*x**m*atanh(tanh(a + b*x))**2/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 108*b**2*m*x**3*x**m*atanh(tanh(a + b*x))**2/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 240*b**2*x**3*x**m*atanh(tanh(a + b*x))**2/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) - 4*b*m**3*x**2*x**m*atanh(tanh(a + b*x))**3/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) - 48*b*m**2*x**2*x**m*atanh(tanh(a + b*x))**3/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) - 188*b*m*x**2*x**m*atanh(tanh(a + b*x))**3/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) - 240*b*x**2*x**m*atanh(tanh(a + b*x))**3/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + m**4*x*x**m*atanh(tanh(a + b*x))**4/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 14*m**3*x*x**m*atanh(tanh(a + b*x))**4/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 71*m**2*x*x**m*atanh(tanh(a + b*x))**4/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 154*m*x*x**m*atanh(tanh(a + b*x))**4/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120) + 120*x*x**m*atanh(tanh(a + b*x))**4/(m**5 + 15*m**4 + 85*m**3 + 225*m**2 + 274*m + 120), True))","F",0
66,1,134,0,29.343366," ","integrate(x**6*atanh(tanh(b*x+a))**4,x)","\begin{cases} \frac{x^{6} \operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{5 b} - \frac{x^{5} \operatorname{atanh}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{5 b^{2}} + \frac{x^{4} \operatorname{atanh}^{7}{\left(\tanh{\left(a + b x \right)} \right)}}{7 b^{3}} - \frac{x^{3} \operatorname{atanh}^{8}{\left(\tanh{\left(a + b x \right)} \right)}}{14 b^{4}} + \frac{x^{2} \operatorname{atanh}^{9}{\left(\tanh{\left(a + b x \right)} \right)}}{42 b^{5}} - \frac{x \operatorname{atanh}^{10}{\left(\tanh{\left(a + b x \right)} \right)}}{210 b^{6}} + \frac{\operatorname{atanh}^{11}{\left(\tanh{\left(a + b x \right)} \right)}}{2310 b^{7}} & \text{for}\: b \neq 0 \\\frac{x^{7} \operatorname{atanh}^{4}{\left(\tanh{\left(a \right)} \right)}}{7} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*atanh(tanh(a + b*x))**5/(5*b) - x**5*atanh(tanh(a + b*x))**6/(5*b**2) + x**4*atanh(tanh(a + b*x))**7/(7*b**3) - x**3*atanh(tanh(a + b*x))**8/(14*b**4) + x**2*atanh(tanh(a + b*x))**9/(42*b**5) - x*atanh(tanh(a + b*x))**10/(210*b**6) + atanh(tanh(a + b*x))**11/(2310*b**7), Ne(b, 0)), (x**7*atanh(tanh(a))**4/7, True))","A",0
67,1,117,0,18.905224," ","integrate(x**5*atanh(tanh(b*x+a))**4,x)","\begin{cases} \frac{x^{5} \operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{5 b} - \frac{x^{4} \operatorname{atanh}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{6 b^{2}} + \frac{2 x^{3} \operatorname{atanh}^{7}{\left(\tanh{\left(a + b x \right)} \right)}}{21 b^{3}} - \frac{x^{2} \operatorname{atanh}^{8}{\left(\tanh{\left(a + b x \right)} \right)}}{28 b^{4}} + \frac{x \operatorname{atanh}^{9}{\left(\tanh{\left(a + b x \right)} \right)}}{126 b^{5}} - \frac{\operatorname{atanh}^{10}{\left(\tanh{\left(a + b x \right)} \right)}}{1260 b^{6}} & \text{for}\: b \neq 0 \\\frac{x^{6} \operatorname{atanh}^{4}{\left(\tanh{\left(a \right)} \right)}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*atanh(tanh(a + b*x))**5/(5*b) - x**4*atanh(tanh(a + b*x))**6/(6*b**2) + 2*x**3*atanh(tanh(a + b*x))**7/(21*b**3) - x**2*atanh(tanh(a + b*x))**8/(28*b**4) + x*atanh(tanh(a + b*x))**9/(126*b**5) - atanh(tanh(a + b*x))**10/(1260*b**6), Ne(b, 0)), (x**6*atanh(tanh(a))**4/6, True))","A",0
68,1,100,0,11.720274," ","integrate(x**4*atanh(tanh(b*x+a))**4,x)","\begin{cases} \frac{x^{4} \operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{5 b} - \frac{2 x^{3} \operatorname{atanh}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{15 b^{2}} + \frac{2 x^{2} \operatorname{atanh}^{7}{\left(\tanh{\left(a + b x \right)} \right)}}{35 b^{3}} - \frac{x \operatorname{atanh}^{8}{\left(\tanh{\left(a + b x \right)} \right)}}{70 b^{4}} + \frac{\operatorname{atanh}^{9}{\left(\tanh{\left(a + b x \right)} \right)}}{630 b^{5}} & \text{for}\: b \neq 0 \\\frac{x^{5} \operatorname{atanh}^{4}{\left(\tanh{\left(a \right)} \right)}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*atanh(tanh(a + b*x))**5/(5*b) - 2*x**3*atanh(tanh(a + b*x))**6/(15*b**2) + 2*x**2*atanh(tanh(a + b*x))**7/(35*b**3) - x*atanh(tanh(a + b*x))**8/(70*b**4) + atanh(tanh(a + b*x))**9/(630*b**5), Ne(b, 0)), (x**5*atanh(tanh(a))**4/5, True))","A",0
69,1,78,0,6.722197," ","integrate(x**3*atanh(tanh(b*x+a))**4,x)","\begin{cases} \frac{x^{3} \operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{5 b} - \frac{x^{2} \operatorname{atanh}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{10 b^{2}} + \frac{x \operatorname{atanh}^{7}{\left(\tanh{\left(a + b x \right)} \right)}}{35 b^{3}} - \frac{\operatorname{atanh}^{8}{\left(\tanh{\left(a + b x \right)} \right)}}{280 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{atanh}^{4}{\left(\tanh{\left(a \right)} \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*atanh(tanh(a + b*x))**5/(5*b) - x**2*atanh(tanh(a + b*x))**6/(10*b**2) + x*atanh(tanh(a + b*x))**7/(35*b**3) - atanh(tanh(a + b*x))**8/(280*b**4), Ne(b, 0)), (x**4*atanh(tanh(a))**4/4, True))","A",0
70,1,60,0,4.006252," ","integrate(x**2*atanh(tanh(b*x+a))**4,x)","\begin{cases} \frac{x^{2} \operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{5 b} - \frac{x \operatorname{atanh}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{15 b^{2}} + \frac{\operatorname{atanh}^{7}{\left(\tanh{\left(a + b x \right)} \right)}}{105 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \operatorname{atanh}^{4}{\left(\tanh{\left(a \right)} \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*atanh(tanh(a + b*x))**5/(5*b) - x*atanh(tanh(a + b*x))**6/(15*b**2) + atanh(tanh(a + b*x))**7/(105*b**3), Ne(b, 0)), (x**3*atanh(tanh(a))**4/3, True))","A",0
71,1,41,0,2.334519," ","integrate(x*atanh(tanh(b*x+a))**4,x)","\begin{cases} \frac{x \operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{5 b} - \frac{\operatorname{atanh}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{30 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \operatorname{atanh}^{4}{\left(\tanh{\left(a \right)} \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*atanh(tanh(a + b*x))**5/(5*b) - atanh(tanh(a + b*x))**6/(30*b**2), Ne(b, 0)), (x**2*atanh(tanh(a))**4/2, True))","A",0
72,1,20,0,1.149031," ","integrate(atanh(tanh(b*x+a))**4,x)","\begin{cases} \frac{\operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{5 b} & \text{for}\: b \neq 0 \\x \operatorname{atanh}^{4}{\left(\tanh{\left(a \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((atanh(tanh(a + b*x))**5/(5*b), Ne(b, 0)), (x*atanh(tanh(a))**4, True))","A",0
73,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**4/x,x)","\int \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**4/x, x)","F",0
74,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**4/x**2,x)","\int \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**4/x**2, x)","F",0
75,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**4/x**3,x)","\int \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**4/x**3, x)","F",0
76,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**4/x**4,x)","\int \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{4}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**4/x**4, x)","F",0
77,1,70,0,1.328733," ","integrate(atanh(tanh(b*x+a))**4/x**5,x)","b^{4} \log{\left(x \right)} - \frac{b^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{x} - \frac{b^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}} - \frac{b \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{3}} - \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 x^{4}}"," ",0,"b**4*log(x) - b**3*atanh(tanh(a + b*x))/x - b**2*atanh(tanh(a + b*x))**2/(2*x**2) - b*atanh(tanh(a + b*x))**3/(3*x**3) - atanh(tanh(a + b*x))**4/(4*x**4)","A",0
78,1,75,0,2.100939," ","integrate(atanh(tanh(b*x+a))**4/x**6,x)","- \frac{b^{4}}{5 x} - \frac{b^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{5 x^{2}} - \frac{b^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{5 x^{3}} - \frac{b \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{5 x^{4}} - \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{5 x^{5}}"," ",0,"-b**4/(5*x) - b**3*atanh(tanh(a + b*x))/(5*x**2) - b**2*atanh(tanh(a + b*x))**2/(5*x**3) - b*atanh(tanh(a + b*x))**3/(5*x**4) - atanh(tanh(a + b*x))**4/(5*x**5)","B",0
79,1,78,0,3.287042," ","integrate(atanh(tanh(b*x+a))**4/x**7,x)","- \frac{b^{4}}{30 x^{2}} - \frac{b^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{15 x^{3}} - \frac{b^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{10 x^{4}} - \frac{2 b \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{15 x^{5}} - \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{6 x^{6}}"," ",0,"-b**4/(30*x**2) - b**3*atanh(tanh(a + b*x))/(15*x**3) - b**2*atanh(tanh(a + b*x))**2/(10*x**4) - 2*b*atanh(tanh(a + b*x))**3/(15*x**5) - atanh(tanh(a + b*x))**4/(6*x**6)","A",0
80,1,80,0,5.406322," ","integrate(atanh(tanh(b*x+a))**4/x**8,x)","- \frac{b^{4}}{105 x^{3}} - \frac{b^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{35 x^{4}} - \frac{2 b^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{35 x^{5}} - \frac{2 b \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{21 x^{6}} - \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{7 x^{7}}"," ",0,"-b**4/(105*x**3) - b**3*atanh(tanh(a + b*x))/(35*x**4) - 2*b**2*atanh(tanh(a + b*x))**2/(35*x**5) - 2*b*atanh(tanh(a + b*x))**3/(21*x**6) - atanh(tanh(a + b*x))**4/(7*x**7)","A",0
81,1,76,0,8.248327," ","integrate(atanh(tanh(b*x+a))**4/x**9,x)","- \frac{b^{4}}{280 x^{4}} - \frac{b^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{70 x^{5}} - \frac{b^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{28 x^{6}} - \frac{b \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{14 x^{7}} - \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{8 x^{8}}"," ",0,"-b**4/(280*x**4) - b**3*atanh(tanh(a + b*x))/(70*x**5) - b**2*atanh(tanh(a + b*x))**2/(28*x**6) - b*atanh(tanh(a + b*x))**3/(14*x**7) - atanh(tanh(a + b*x))**4/(8*x**8)","A",0
82,1,76,0,12.999228," ","integrate(atanh(tanh(b*x+a))**4/x**10,x)","- \frac{b^{4}}{630 x^{5}} - \frac{b^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{126 x^{6}} - \frac{b^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{42 x^{7}} - \frac{b \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{18 x^{8}} - \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{9 x^{9}}"," ",0,"-b**4/(630*x**5) - b**3*atanh(tanh(a + b*x))/(126*x**6) - b**2*atanh(tanh(a + b*x))**2/(42*x**7) - b*atanh(tanh(a + b*x))**3/(18*x**8) - atanh(tanh(a + b*x))**4/(9*x**9)","A",0
83,1,78,0,19.489215," ","integrate(atanh(tanh(b*x+a))**4/x**11,x)","- \frac{b^{4}}{1260 x^{6}} - \frac{b^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{210 x^{7}} - \frac{b^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{60 x^{8}} - \frac{2 b \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{45 x^{9}} - \frac{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{10 x^{10}}"," ",0,"-b**4/(1260*x**6) - b**3*atanh(tanh(a + b*x))/(210*x**7) - b**2*atanh(tanh(a + b*x))**2/(60*x**8) - 2*b*atanh(tanh(a + b*x))**3/(45*x**9) - atanh(tanh(a + b*x))**4/(10*x**10)","A",0
84,1,41,0,6.536404," ","integrate(x*atanh(tanh(b*x+a))**6,x)","\begin{cases} \frac{x \operatorname{atanh}^{7}{\left(\tanh{\left(a + b x \right)} \right)}}{7 b} - \frac{\operatorname{atanh}^{8}{\left(\tanh{\left(a + b x \right)} \right)}}{56 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \operatorname{atanh}^{6}{\left(\tanh{\left(a \right)} \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*atanh(tanh(a + b*x))**7/(7*b) - atanh(tanh(a + b*x))**8/(56*b**2), Ne(b, 0)), (x**2*atanh(tanh(a))**6/2, True))","A",0
85,0,0,0,0.000000," ","integrate(x**m/atanh(tanh(b*x+a)),x)","\int \frac{x^{m}}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**m/atanh(tanh(a + b*x)), x)","F",0
86,0,0,0,0.000000," ","integrate(x**3/atanh(tanh(b*x+a)),x)","\int \frac{x^{3}}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**3/atanh(tanh(a + b*x)), x)","F",0
87,0,0,0,0.000000," ","integrate(x**2/atanh(tanh(b*x+a)),x)","\int \frac{x^{2}}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**2/atanh(tanh(a + b*x)), x)","F",0
88,0,0,0,0.000000," ","integrate(x/atanh(tanh(b*x+a)),x)","\int \frac{x}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x/atanh(tanh(a + b*x)), x)","F",0
89,-2,0,0,0.000000," ","integrate(1/atanh(tanh(b*x+a)),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
90,0,0,0,0.000000," ","integrate(1/x/atanh(tanh(b*x+a)),x)","\int \frac{1}{x \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x*atanh(tanh(a + b*x))), x)","F",0
91,0,0,0,0.000000," ","integrate(1/x**2/atanh(tanh(b*x+a)),x)","\int \frac{1}{x^{2} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**2*atanh(tanh(a + b*x))), x)","F",0
92,0,0,0,0.000000," ","integrate(1/x**3/atanh(tanh(b*x+a)),x)","\int \frac{1}{x^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**3*atanh(tanh(a + b*x))), x)","F",0
93,0,0,0,0.000000," ","integrate(x**m/atanh(tanh(b*x+a))**2,x)","\int \frac{x^{m}}{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**m/atanh(tanh(a + b*x))**2, x)","F",0
94,0,0,0,0.000000," ","integrate(x**4/atanh(tanh(b*x+a))**2,x)","\int \frac{x^{4}}{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**4/atanh(tanh(a + b*x))**2, x)","F",0
95,0,0,0,0.000000," ","integrate(x**3/atanh(tanh(b*x+a))**2,x)","\int \frac{x^{3}}{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**3/atanh(tanh(a + b*x))**2, x)","F",0
96,0,0,0,0.000000," ","integrate(x**2/atanh(tanh(b*x+a))**2,x)","\int \frac{x^{2}}{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**2/atanh(tanh(a + b*x))**2, x)","F",0
97,-2,0,0,0.000000," ","integrate(x/atanh(tanh(b*x+a))**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
98,-2,0,0,0.000000," ","integrate(1/atanh(tanh(b*x+a))**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
99,0,0,0,0.000000," ","integrate(1/x/atanh(tanh(b*x+a))**2,x)","\int \frac{1}{x \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x*atanh(tanh(a + b*x))**2), x)","F",0
100,0,0,0,0.000000," ","integrate(1/x**2/atanh(tanh(b*x+a))**2,x)","\int \frac{1}{x^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**2*atanh(tanh(a + b*x))**2), x)","F",0
101,0,0,0,0.000000," ","integrate(1/x**3/atanh(tanh(b*x+a))**2,x)","\int \frac{1}{x^{3} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**3*atanh(tanh(a + b*x))**2), x)","F",0
102,0,0,0,0.000000," ","integrate(x**m/atanh(tanh(b*x+a))**3,x)","\int \frac{x^{m}}{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**m/atanh(tanh(a + b*x))**3, x)","F",0
103,0,0,0,0.000000," ","integrate(x**4/atanh(tanh(b*x+a))**3,x)","\int \frac{x^{4}}{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**4/atanh(tanh(a + b*x))**3, x)","F",0
104,0,0,0,0.000000," ","integrate(x**3/atanh(tanh(b*x+a))**3,x)","\int \frac{x^{3}}{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**3/atanh(tanh(a + b*x))**3, x)","F",0
105,-2,0,0,0.000000," ","integrate(x**2/atanh(tanh(b*x+a))**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
106,-2,0,0,0.000000," ","integrate(x/atanh(tanh(b*x+a))**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
107,-2,0,0,0.000000," ","integrate(1/atanh(tanh(b*x+a))**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
108,0,0,0,0.000000," ","integrate(1/x/atanh(tanh(b*x+a))**3,x)","\int \frac{1}{x \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x*atanh(tanh(a + b*x))**3), x)","F",0
109,0,0,0,0.000000," ","integrate(1/x**2/atanh(tanh(b*x+a))**3,x)","\int \frac{1}{x^{2} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**2*atanh(tanh(a + b*x))**3), x)","F",0
110,0,0,0,0.000000," ","integrate(1/x**3/atanh(tanh(b*x+a))**3,x)","\int \frac{1}{x^{3} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**3*atanh(tanh(a + b*x))**3), x)","F",0
111,0,0,0,0.000000," ","integrate(x**4*atanh(tanh(b*x+a))**(1/2),x)","\int x^{4} \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**4*sqrt(atanh(tanh(a + b*x))), x)","F",0
112,0,0,0,0.000000," ","integrate(x**3*atanh(tanh(b*x+a))**(1/2),x)","\int x^{3} \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**3*sqrt(atanh(tanh(a + b*x))), x)","F",0
113,0,0,0,0.000000," ","integrate(x**2*atanh(tanh(b*x+a))**(1/2),x)","\int x^{2} \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**2*sqrt(atanh(tanh(a + b*x))), x)","F",0
114,0,0,0,0.000000," ","integrate(x*atanh(tanh(b*x+a))**(1/2),x)","\int x \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x*sqrt(atanh(tanh(a + b*x))), x)","F",0
115,1,26,0,0.575636," ","integrate(atanh(tanh(b*x+a))**(1/2),x)","\begin{cases} \frac{2 \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{3 b} & \text{for}\: b \neq 0 \\x \sqrt{\operatorname{atanh}{\left(\tanh{\left(a \right)} \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*atanh(tanh(a + b*x))**(3/2)/(3*b), Ne(b, 0)), (x*sqrt(atanh(tanh(a))), True))","A",0
116,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(1/2)/x,x)","\int \frac{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}{x}\, dx"," ",0,"Integral(sqrt(atanh(tanh(a + b*x)))/x, x)","F",0
117,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(1/2)/x**2,x)","\int \frac{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(atanh(tanh(a + b*x)))/x**2, x)","F",0
118,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(1/2)/x**3,x)","\int \frac{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}{x^{3}}\, dx"," ",0,"Integral(sqrt(atanh(tanh(a + b*x)))/x**3, x)","F",0
119,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(1/2)/x**4,x)","\int \frac{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}{x^{4}}\, dx"," ",0,"Integral(sqrt(atanh(tanh(a + b*x)))/x**4, x)","F",0
120,0,0,0,0.000000," ","integrate(x**4*atanh(tanh(b*x+a))**(3/2),x)","\int x^{4} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**4*atanh(tanh(a + b*x))**(3/2), x)","F",0
121,0,0,0,0.000000," ","integrate(x**3*atanh(tanh(b*x+a))**(3/2),x)","\int x^{3} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**3*atanh(tanh(a + b*x))**(3/2), x)","F",0
122,0,0,0,0.000000," ","integrate(x**2*atanh(tanh(b*x+a))**(3/2),x)","\int x^{2} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**2*atanh(tanh(a + b*x))**(3/2), x)","F",0
123,1,49,0,26.898090," ","integrate(x*atanh(tanh(b*x+a))**(3/2),x)","\begin{cases} \frac{2 x \operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{5 b} - \frac{4 \operatorname{atanh}^{\frac{7}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{35 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a \right)} \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x*atanh(tanh(a + b*x))**(5/2)/(5*b) - 4*atanh(tanh(a + b*x))**(7/2)/(35*b**2), Ne(b, 0)), (x**2*atanh(tanh(a))**(3/2)/2, True))","A",0
124,1,26,0,11.530781," ","integrate(atanh(tanh(b*x+a))**(3/2),x)","\begin{cases} \frac{2 \operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{5 b} & \text{for}\: b \neq 0 \\x \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*atanh(tanh(a + b*x))**(5/2)/(5*b), Ne(b, 0)), (x*atanh(tanh(a))**(3/2), True))","A",0
125,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(3/2)/x,x)","\int \frac{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(3/2)/x, x)","F",0
126,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(3/2)/x**2,x)","\int \frac{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(3/2)/x**2, x)","F",0
127,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(3/2)/x**3,x)","\int \frac{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(3/2)/x**3, x)","F",0
128,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(3/2)/x**4,x)","\int \frac{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{4}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(3/2)/x**4, x)","F",0
129,-1,0,0,0.000000," ","integrate(x**4*atanh(tanh(b*x+a))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate(x**3*atanh(tanh(b*x+a))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,-1,0,0,0.000000," ","integrate(x**2*atanh(tanh(b*x+a))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate(x*atanh(tanh(b*x+a))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x,x)","\int \frac{\operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(5/2)/x, x)","F",0
135,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**2,x)","\int \frac{\operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(5/2)/x**2, x)","F",0
136,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**3,x)","\int \frac{\operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(5/2)/x**3, x)","F",0
137,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**4,x)","\int \frac{\operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{4}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(5/2)/x**4, x)","F",0
138,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**5,x)","\int \frac{\operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{5}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(5/2)/x**5, x)","F",0
139,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**6,x)","\int \frac{\operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{6}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(5/2)/x**6, x)","F",0
140,0,0,0,0.000000," ","integrate(x**4/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{x^{4}}{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(x**4/sqrt(atanh(tanh(a + b*x))), x)","F",0
141,0,0,0,0.000000," ","integrate(x**3/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{x^{3}}{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(x**3/sqrt(atanh(tanh(a + b*x))), x)","F",0
142,0,0,0,0.000000," ","integrate(x**2/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{x^{2}}{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(x**2/sqrt(atanh(tanh(a + b*x))), x)","F",0
143,0,0,0,0.000000," ","integrate(x/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{x}{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(x/sqrt(atanh(tanh(a + b*x))), x)","F",0
144,-2,0,0,0.000000," ","integrate(1/atanh(tanh(b*x+a))**(1/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
145,0,0,0,0.000000," ","integrate(1/x/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{1}{x \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(atanh(tanh(a + b*x)))), x)","F",0
146,0,0,0,0.000000," ","integrate(1/x**2/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{1}{x^{2} \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(atanh(tanh(a + b*x)))), x)","F",0
147,0,0,0,0.000000," ","integrate(1/x**3/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{1}{x^{3} \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(1/(x**3*sqrt(atanh(tanh(a + b*x)))), x)","F",0
148,0,0,0,0.000000," ","integrate(1/x**4/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{1}{x^{4} \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(1/(x**4*sqrt(atanh(tanh(a + b*x)))), x)","F",0
149,0,0,0,0.000000," ","integrate(x**4/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{x^{4}}{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**4/atanh(tanh(a + b*x))**(3/2), x)","F",0
150,0,0,0,0.000000," ","integrate(x**3/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{x^{3}}{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**3/atanh(tanh(a + b*x))**(3/2), x)","F",0
151,0,0,0,0.000000," ","integrate(x**2/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{x^{2}}{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**2/atanh(tanh(a + b*x))**(3/2), x)","F",0
152,-2,0,0,0.000000," ","integrate(x/atanh(tanh(b*x+a))**(3/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
153,-2,0,0,0.000000," ","integrate(1/atanh(tanh(b*x+a))**(3/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
154,0,0,0,0.000000," ","integrate(1/x/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{1}{x \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x*atanh(tanh(a + b*x))**(3/2)), x)","F",0
155,0,0,0,0.000000," ","integrate(1/x**2/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{1}{x^{2} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**2*atanh(tanh(a + b*x))**(3/2)), x)","F",0
156,0,0,0,0.000000," ","integrate(1/x**3/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{1}{x^{3} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**3*atanh(tanh(a + b*x))**(3/2)), x)","F",0
157,0,0,0,0.000000," ","integrate(1/x**4/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{1}{x^{4} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**4*atanh(tanh(a + b*x))**(3/2)), x)","F",0
158,0,0,0,0.000000," ","integrate(x**4/atanh(tanh(b*x+a))**(5/2),x)","\int \frac{x^{4}}{\operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**4/atanh(tanh(a + b*x))**(5/2), x)","F",0
159,-2,0,0,0.000000," ","integrate(x**3/atanh(tanh(b*x+a))**(5/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
160,-2,0,0,0.000000," ","integrate(x**2/atanh(tanh(b*x+a))**(5/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
161,-2,0,0,0.000000," ","integrate(x/atanh(tanh(b*x+a))**(5/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
162,-2,0,0,0.000000," ","integrate(1/atanh(tanh(b*x+a))**(5/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
163,0,0,0,0.000000," ","integrate(1/x/atanh(tanh(b*x+a))**(5/2),x)","\int \frac{1}{x \operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x*atanh(tanh(a + b*x))**(5/2)), x)","F",0
164,0,0,0,0.000000," ","integrate(1/x**2/atanh(tanh(b*x+a))**(5/2),x)","\int \frac{1}{x^{2} \operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**2*atanh(tanh(a + b*x))**(5/2)), x)","F",0
165,0,0,0,0.000000," ","integrate(1/x**3/atanh(tanh(b*x+a))**(5/2),x)","\int \frac{1}{x^{3} \operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**3*atanh(tanh(a + b*x))**(5/2)), x)","F",0
166,0,0,0,0.000000," ","integrate(1/x**4/atanh(tanh(b*x+a))**(5/2),x)","\int \frac{1}{x^{4} \operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**4*atanh(tanh(a + b*x))**(5/2)), x)","F",0
167,-1,0,0,0.000000," ","integrate(x**(7/2)*atanh(tanh(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,-1,0,0,0.000000," ","integrate(x**(5/2)*atanh(tanh(b*x+a)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,1,26,0,14.462045," ","integrate(x**(3/2)*atanh(tanh(b*x+a)),x)","- \frac{4 b x^{\frac{7}{2}}}{35} + \frac{2 x^{\frac{5}{2}} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{5}"," ",0,"-4*b*x**(7/2)/35 + 2*x**(5/2)*atanh(tanh(a + b*x))/5","A",0
170,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))*x**(1/2),x)","\int \sqrt{x} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(sqrt(x)*atanh(tanh(a + b*x)), x)","F",0
171,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))/x**(1/2),x)","\int \frac{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{\sqrt{x}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))/sqrt(x), x)","F",0
172,1,22,0,1.054607," ","integrate(atanh(tanh(b*x+a))/x**(3/2),x)","4 b \sqrt{x} - \frac{2 \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{\sqrt{x}}"," ",0,"4*b*sqrt(x) - 2*atanh(tanh(a + b*x))/sqrt(x)","A",0
173,1,27,0,10.541267," ","integrate(atanh(tanh(b*x+a))/x**(5/2),x)","- \frac{4 b}{3 \sqrt{x}} - \frac{2 \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{\frac{3}{2}}}"," ",0,"-4*b/(3*sqrt(x)) - 2*atanh(tanh(a + b*x))/(3*x**(3/2))","A",0
174,1,27,0,155.354677," ","integrate(atanh(tanh(b*x+a))/x**(7/2),x)","- \frac{4 b}{15 x^{\frac{3}{2}}} - \frac{2 \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{5 x^{\frac{5}{2}}}"," ",0,"-4*b/(15*x**(3/2)) - 2*atanh(tanh(a + b*x))/(5*x**(5/2))","A",0
175,-1,0,0,0.000000," ","integrate(x**(7/2)*atanh(tanh(b*x+a))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
176,-1,0,0,0.000000," ","integrate(x**(5/2)*atanh(tanh(b*x+a))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
177,0,0,0,0.000000," ","integrate(x**(3/2)*atanh(tanh(b*x+a))**2,x)","\int x^{\frac{3}{2}} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**(3/2)*atanh(tanh(a + b*x))**2, x)","F",0
178,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**2*x**(1/2),x)","\int \sqrt{x} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(sqrt(x)*atanh(tanh(a + b*x))**2, x)","F",0
179,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**2/x**(1/2),x)","\int \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{\sqrt{x}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**2/sqrt(x), x)","F",0
180,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**2/x**(3/2),x)","\int \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**2/x**(3/2), x)","F",0
181,1,48,0,10.495098," ","integrate(atanh(tanh(b*x+a))**2/x**(5/2),x)","\frac{16 b^{2} \sqrt{x}}{3} - \frac{8 b \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{3 \sqrt{x}} - \frac{2 \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{\frac{3}{2}}}"," ",0,"16*b**2*sqrt(x)/3 - 8*b*atanh(tanh(a + b*x))/(3*sqrt(x)) - 2*atanh(tanh(a + b*x))**2/(3*x**(3/2))","A",0
182,1,49,0,154.701368," ","integrate(atanh(tanh(b*x+a))**2/x**(7/2),x)","- \frac{16 b^{2}}{15 \sqrt{x}} - \frac{8 b \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{15 x^{\frac{3}{2}}} - \frac{2 \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{5 x^{\frac{5}{2}}}"," ",0,"-16*b**2/(15*sqrt(x)) - 8*b*atanh(tanh(a + b*x))/(15*x**(3/2)) - 2*atanh(tanh(a + b*x))**2/(5*x**(5/2))","A",0
183,-1,0,0,0.000000," ","integrate(x**(7/2)*atanh(tanh(b*x+a))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,-1,0,0,0.000000," ","integrate(x**(5/2)*atanh(tanh(b*x+a))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,0,0,0,0.000000," ","integrate(x**(3/2)*atanh(tanh(b*x+a))**3,x)","\int x^{\frac{3}{2}} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**(3/2)*atanh(tanh(a + b*x))**3, x)","F",0
186,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**3*x**(1/2),x)","\int \sqrt{x} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(sqrt(x)*atanh(tanh(a + b*x))**3, x)","F",0
187,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**3/x**(1/2),x)","\int \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{\sqrt{x}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**3/sqrt(x), x)","F",0
188,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**3/x**(3/2),x)","\int \frac{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**3/x**(3/2), x)","F",0
189,1,66,0,10.580785," ","integrate(atanh(tanh(b*x+a))**3/x**(5/2),x)","- \frac{32 b^{3} x^{\frac{3}{2}}}{3} + 16 b^{2} \sqrt{x} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} - \frac{4 b \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{\sqrt{x}} - \frac{2 \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{\frac{3}{2}}}"," ",0,"-32*b**3*x**(3/2)/3 + 16*b**2*sqrt(x)*atanh(tanh(a + b*x)) - 4*b*atanh(tanh(a + b*x))**2/sqrt(x) - 2*atanh(tanh(a + b*x))**3/(3*x**(3/2))","A",0
190,1,70,0,155.325556," ","integrate(atanh(tanh(b*x+a))**3/x**(7/2),x)","\frac{32 b^{3} \sqrt{x}}{5} - \frac{16 b^{2} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}{5 \sqrt{x}} - \frac{4 b \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{5 x^{\frac{3}{2}}} - \frac{2 \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{5 x^{\frac{5}{2}}}"," ",0,"32*b**3*sqrt(x)/5 - 16*b**2*atanh(tanh(a + b*x))/(5*sqrt(x)) - 4*b*atanh(tanh(a + b*x))**2/(5*x**(3/2)) - 2*atanh(tanh(a + b*x))**3/(5*x**(5/2))","A",0
191,0,0,0,0.000000," ","integrate(x**(7/2)/atanh(tanh(b*x+a)),x)","\int \frac{x^{\frac{7}{2}}}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**(7/2)/atanh(tanh(a + b*x)), x)","F",0
192,0,0,0,0.000000," ","integrate(x**(5/2)/atanh(tanh(b*x+a)),x)","\int \frac{x^{\frac{5}{2}}}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**(5/2)/atanh(tanh(a + b*x)), x)","F",0
193,0,0,0,0.000000," ","integrate(x**(3/2)/atanh(tanh(b*x+a)),x)","\int \frac{x^{\frac{3}{2}}}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**(3/2)/atanh(tanh(a + b*x)), x)","F",0
194,0,0,0,0.000000," ","integrate(x**(1/2)/atanh(tanh(b*x+a)),x)","\int \frac{\sqrt{x}}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(sqrt(x)/atanh(tanh(a + b*x)), x)","F",0
195,0,0,0,0.000000," ","integrate(1/atanh(tanh(b*x+a))/x**(1/2),x)","\int \frac{1}{\sqrt{x} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(sqrt(x)*atanh(tanh(a + b*x))), x)","F",0
196,0,0,0,0.000000," ","integrate(1/x**(3/2)/atanh(tanh(b*x+a)),x)","\int \frac{1}{x^{\frac{3}{2}} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(3/2)*atanh(tanh(a + b*x))), x)","F",0
197,0,0,0,0.000000," ","integrate(1/x**(5/2)/atanh(tanh(b*x+a)),x)","\int \frac{1}{x^{\frac{5}{2}} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(5/2)*atanh(tanh(a + b*x))), x)","F",0
198,0,0,0,0.000000," ","integrate(1/x**(7/2)/atanh(tanh(b*x+a)),x)","\int \frac{1}{x^{\frac{7}{2}} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(7/2)*atanh(tanh(a + b*x))), x)","F",0
199,-1,0,0,0.000000," ","integrate(x**(7/2)/atanh(tanh(b*x+a))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
200,0,0,0,0.000000," ","integrate(x**(5/2)/atanh(tanh(b*x+a))**2,x)","\int \frac{x^{\frac{5}{2}}}{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**(5/2)/atanh(tanh(a + b*x))**2, x)","F",0
201,0,0,0,0.000000," ","integrate(x**(3/2)/atanh(tanh(b*x+a))**2,x)","\int \frac{x^{\frac{3}{2}}}{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**(3/2)/atanh(tanh(a + b*x))**2, x)","F",0
202,0,0,0,0.000000," ","integrate(x**(1/2)/atanh(tanh(b*x+a))**2,x)","\int \frac{\sqrt{x}}{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(sqrt(x)/atanh(tanh(a + b*x))**2, x)","F",0
203,0,0,0,0.000000," ","integrate(1/atanh(tanh(b*x+a))**2/x**(1/2),x)","\int \frac{1}{\sqrt{x} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(sqrt(x)*atanh(tanh(a + b*x))**2), x)","F",0
204,0,0,0,0.000000," ","integrate(1/x**(3/2)/atanh(tanh(b*x+a))**2,x)","\int \frac{1}{x^{\frac{3}{2}} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(3/2)*atanh(tanh(a + b*x))**2), x)","F",0
205,0,0,0,0.000000," ","integrate(1/x**(5/2)/atanh(tanh(b*x+a))**2,x)","\int \frac{1}{x^{\frac{5}{2}} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(5/2)*atanh(tanh(a + b*x))**2), x)","F",0
206,0,0,0,0.000000," ","integrate(1/x**(7/2)/atanh(tanh(b*x+a))**2,x)","\int \frac{1}{x^{\frac{7}{2}} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(7/2)*atanh(tanh(a + b*x))**2), x)","F",0
207,-1,0,0,0.000000," ","integrate(x**(7/2)/atanh(tanh(b*x+a))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
208,0,0,0,0.000000," ","integrate(x**(5/2)/atanh(tanh(b*x+a))**3,x)","\int \frac{x^{\frac{5}{2}}}{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**(5/2)/atanh(tanh(a + b*x))**3, x)","F",0
209,0,0,0,0.000000," ","integrate(x**(3/2)/atanh(tanh(b*x+a))**3,x)","\int \frac{x^{\frac{3}{2}}}{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**(3/2)/atanh(tanh(a + b*x))**3, x)","F",0
210,0,0,0,0.000000," ","integrate(x**(1/2)/atanh(tanh(b*x+a))**3,x)","\int \frac{\sqrt{x}}{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(sqrt(x)/atanh(tanh(a + b*x))**3, x)","F",0
211,0,0,0,0.000000," ","integrate(1/atanh(tanh(b*x+a))**3/x**(1/2),x)","\int \frac{1}{\sqrt{x} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(sqrt(x)*atanh(tanh(a + b*x))**3), x)","F",0
212,0,0,0,0.000000," ","integrate(1/x**(3/2)/atanh(tanh(b*x+a))**3,x)","\int \frac{1}{x^{\frac{3}{2}} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(3/2)*atanh(tanh(a + b*x))**3), x)","F",0
213,0,0,0,0.000000," ","integrate(1/x**(5/2)/atanh(tanh(b*x+a))**3,x)","\int \frac{1}{x^{\frac{5}{2}} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(5/2)*atanh(tanh(a + b*x))**3), x)","F",0
214,0,0,0,0.000000," ","integrate(1/x**(7/2)/atanh(tanh(b*x+a))**3,x)","\int \frac{1}{x^{\frac{7}{2}} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(7/2)*atanh(tanh(a + b*x))**3), x)","F",0
215,0,0,0,0.000000," ","integrate(x**(3/2)*atanh(tanh(b*x+a))**(1/2),x)","\int x^{\frac{3}{2}} \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**(3/2)*sqrt(atanh(tanh(a + b*x))), x)","F",0
216,0,0,0,0.000000," ","integrate(x**(1/2)*atanh(tanh(b*x+a))**(1/2),x)","\int \sqrt{x} \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(sqrt(x)*sqrt(atanh(tanh(a + b*x))), x)","F",0
217,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(1/2)/x**(1/2),x)","\int \frac{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}{\sqrt{x}}\, dx"," ",0,"Integral(sqrt(atanh(tanh(a + b*x)))/sqrt(x), x)","F",0
218,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(1/2)/x**(3/2),x)","\int \frac{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(atanh(tanh(a + b*x)))/x**(3/2), x)","F",0
219,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(1/2)/x**(5/2),x)","\int \frac{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}{x^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(atanh(tanh(a + b*x)))/x**(5/2), x)","F",0
220,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(1/2)/x**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
221,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(1/2)/x**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
222,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(1/2)/x**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
223,0,0,0,0.000000," ","integrate(x**(3/2)*atanh(tanh(b*x+a))**(3/2),x)","\int x^{\frac{3}{2}} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**(3/2)*atanh(tanh(a + b*x))**(3/2), x)","F",0
224,0,0,0,0.000000," ","integrate(x**(1/2)*atanh(tanh(b*x+a))**(3/2),x)","\int \sqrt{x} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(sqrt(x)*atanh(tanh(a + b*x))**(3/2), x)","F",0
225,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(3/2)/x**(1/2),x)","\int \frac{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{\sqrt{x}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(3/2)/sqrt(x), x)","F",0
226,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(3/2)/x**(3/2),x)","\int \frac{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{\frac{3}{2}}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(3/2)/x**(3/2), x)","F",0
227,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(3/2)/x**(5/2),x)","\int \frac{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{\frac{5}{2}}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**(3/2)/x**(5/2), x)","F",0
228,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(3/2)/x**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
229,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(3/2)/x**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
230,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(3/2)/x**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
231,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(3/2)/x**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
232,-1,0,0,0.000000," ","integrate(x**(1/2)*atanh(tanh(b*x+a))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
233,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
234,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
235,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
236,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
237,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
238,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**(11/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**(13/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
240,-1,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**(5/2)/x**(15/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
241,-1,0,0,0.000000," ","integrate(x**(5/2)/atanh(tanh(b*x+a))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
242,0,0,0,0.000000," ","integrate(x**(3/2)/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{x^{\frac{3}{2}}}{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(x**(3/2)/sqrt(atanh(tanh(a + b*x))), x)","F",0
243,0,0,0,0.000000," ","integrate(x**(1/2)/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(sqrt(x)/sqrt(atanh(tanh(a + b*x))), x)","F",0
244,0,0,0,0.000000," ","integrate(1/x**(1/2)/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{1}{\sqrt{x} \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(1/(sqrt(x)*sqrt(atanh(tanh(a + b*x)))), x)","F",0
245,0,0,0,0.000000," ","integrate(1/x**(3/2)/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{1}{x^{\frac{3}{2}} \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(1/(x**(3/2)*sqrt(atanh(tanh(a + b*x)))), x)","F",0
246,0,0,0,0.000000," ","integrate(1/x**(5/2)/atanh(tanh(b*x+a))**(1/2),x)","\int \frac{1}{x^{\frac{5}{2}} \sqrt{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}}\, dx"," ",0,"Integral(1/(x**(5/2)*sqrt(atanh(tanh(a + b*x)))), x)","F",0
247,-1,0,0,0.000000," ","integrate(1/x**(7/2)/atanh(tanh(b*x+a))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
248,-1,0,0,0.000000," ","integrate(1/x**(9/2)/atanh(tanh(b*x+a))**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,-1,0,0,0.000000," ","integrate(x**(7/2)/atanh(tanh(b*x+a))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
250,-1,0,0,0.000000," ","integrate(x**(5/2)/atanh(tanh(b*x+a))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
251,0,0,0,0.000000," ","integrate(x**(3/2)/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{x^{\frac{3}{2}}}{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**(3/2)/atanh(tanh(a + b*x))**(3/2), x)","F",0
252,0,0,0,0.000000," ","integrate(x**(1/2)/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{\sqrt{x}}{\operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(sqrt(x)/atanh(tanh(a + b*x))**(3/2), x)","F",0
253,0,0,0,0.000000," ","integrate(1/x**(1/2)/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{1}{\sqrt{x} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(sqrt(x)*atanh(tanh(a + b*x))**(3/2)), x)","F",0
254,0,0,0,0.000000," ","integrate(1/x**(3/2)/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{1}{x^{\frac{3}{2}} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(3/2)*atanh(tanh(a + b*x))**(3/2)), x)","F",0
255,0,0,0,0.000000," ","integrate(1/x**(5/2)/atanh(tanh(b*x+a))**(3/2),x)","\int \frac{1}{x^{\frac{5}{2}} \operatorname{atanh}^{\frac{3}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(5/2)*atanh(tanh(a + b*x))**(3/2)), x)","F",0
256,-1,0,0,0.000000," ","integrate(1/x**(7/2)/atanh(tanh(b*x+a))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
257,-1,0,0,0.000000," ","integrate(x**(7/2)/atanh(tanh(b*x+a))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,-1,0,0,0.000000," ","integrate(x**(5/2)/atanh(tanh(b*x+a))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,0,0,0,0.000000," ","integrate(x**(3/2)/atanh(tanh(b*x+a))**(5/2),x)","\int \frac{x^{\frac{3}{2}}}{\operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**(3/2)/atanh(tanh(a + b*x))**(5/2), x)","F",0
260,0,0,0,0.000000," ","integrate(x**(1/2)/atanh(tanh(b*x+a))**(5/2),x)","\int \frac{\sqrt{x}}{\operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(sqrt(x)/atanh(tanh(a + b*x))**(5/2), x)","F",0
261,0,0,0,0.000000," ","integrate(1/x**(1/2)/atanh(tanh(b*x+a))**(5/2),x)","\int \frac{1}{\sqrt{x} \operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(sqrt(x)*atanh(tanh(a + b*x))**(5/2)), x)","F",0
262,0,0,0,0.000000," ","integrate(1/x**(3/2)/atanh(tanh(b*x+a))**(5/2),x)","\int \frac{1}{x^{\frac{3}{2}} \operatorname{atanh}^{\frac{5}{2}}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**(3/2)*atanh(tanh(a + b*x))**(5/2)), x)","F",0
263,-1,0,0,0.000000," ","integrate(1/x**(5/2)/atanh(tanh(b*x+a))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
264,-1,0,0,0.000000," ","integrate(1/x**(7/2)/atanh(tanh(b*x+a))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
265,0,0,0,0.000000," ","integrate(x**m*atanh(tanh(b*x+a))**n,x)","\int x^{m} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**m*atanh(tanh(a + b*x))**n, x)","F",0
266,0,0,0,0.000000," ","integrate(x**4*atanh(tanh(b*x+a))**n,x)","\begin{cases} \frac{x^{5} \operatorname{atanh}^{n}{\left(\tanh{\left(a \right)} \right)}}{5} & \text{for}\: b = 0 \\- \frac{x^{4}}{4 b \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x^{3}}{3 b^{2} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x^{2}}{2 b^{3} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x}{b^{4} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}} + \frac{\log{\left(\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \right)}}{b^{5}} & \text{for}\: n = -5 \\\int \frac{x^{4}}{\operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -4 \\\int \frac{x^{4}}{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -3 \\\int \frac{x^{4}}{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -2 \\\int \frac{x^{4}}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -1 \\\frac{b^{4} n^{4} x^{4} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{14 b^{4} n^{3} x^{4} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{71 b^{4} n^{2} x^{4} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{154 b^{4} n x^{4} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{120 b^{4} x^{4} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{4 b^{3} n^{3} x^{3} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{48 b^{3} n^{2} x^{3} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{188 b^{3} n x^{3} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{240 b^{3} x^{3} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{12 b^{2} n^{2} x^{2} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{108 b^{2} n x^{2} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{240 b^{2} x^{2} \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{24 b n x \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} - \frac{120 b x \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} + \frac{24 \operatorname{atanh}^{5}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{5} n^{5} + 15 b^{5} n^{4} + 85 b^{5} n^{3} + 225 b^{5} n^{2} + 274 b^{5} n + 120 b^{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*atanh(tanh(a))**n/5, Eq(b, 0)), (-x**4/(4*b*atanh(tanh(a + b*x))**4) - x**3/(3*b**2*atanh(tanh(a + b*x))**3) - x**2/(2*b**3*atanh(tanh(a + b*x))**2) - x/(b**4*atanh(tanh(a + b*x))) + log(atanh(tanh(a + b*x)))/b**5, Eq(n, -5)), (Integral(x**4/atanh(tanh(a + b*x))**4, x), Eq(n, -4)), (Integral(x**4/atanh(tanh(a + b*x))**3, x), Eq(n, -3)), (Integral(x**4/atanh(tanh(a + b*x))**2, x), Eq(n, -2)), (Integral(x**4/atanh(tanh(a + b*x)), x), Eq(n, -1)), (b**4*n**4*x**4*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 14*b**4*n**3*x**4*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 71*b**4*n**2*x**4*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 154*b**4*n*x**4*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 120*b**4*x**4*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 4*b**3*n**3*x**3*atanh(tanh(a + b*x))**2*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 48*b**3*n**2*x**3*atanh(tanh(a + b*x))**2*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 188*b**3*n*x**3*atanh(tanh(a + b*x))**2*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 240*b**3*x**3*atanh(tanh(a + b*x))**2*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 12*b**2*n**2*x**2*atanh(tanh(a + b*x))**3*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 108*b**2*n*x**2*atanh(tanh(a + b*x))**3*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 240*b**2*x**2*atanh(tanh(a + b*x))**3*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 24*b*n*x*atanh(tanh(a + b*x))**4*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) - 120*b*x*atanh(tanh(a + b*x))**4*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5) + 24*atanh(tanh(a + b*x))**5*atanh(tanh(a + b*x))**n/(b**5*n**5 + 15*b**5*n**4 + 85*b**5*n**3 + 225*b**5*n**2 + 274*b**5*n + 120*b**5), True))","F",0
267,0,0,0,0.000000," ","integrate(x**3*atanh(tanh(b*x+a))**n,x)","\begin{cases} \frac{x^{4} \operatorname{atanh}^{n}{\left(\tanh{\left(a \right)} \right)}}{4} & \text{for}\: b = 0 \\- \frac{x^{3}}{3 b \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x^{2}}{2 b^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x}{b^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}} + \frac{\log{\left(\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \right)}}{b^{4}} & \text{for}\: n = -4 \\\int \frac{x^{3}}{\operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -3 \\\int \frac{x^{3}}{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -2 \\\int \frac{x^{3}}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -1 \\\frac{b^{3} n^{3} x^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{9 b^{3} n^{2} x^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{26 b^{3} n x^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{24 b^{3} x^{3} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{3 b^{2} n^{2} x^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{21 b^{2} n x^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{36 b^{2} x^{2} \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{6 b n x \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} + \frac{24 b x \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} - \frac{6 \operatorname{atanh}^{4}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{4} n^{4} + 10 b^{4} n^{3} + 35 b^{4} n^{2} + 50 b^{4} n + 24 b^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*atanh(tanh(a))**n/4, Eq(b, 0)), (-x**3/(3*b*atanh(tanh(a + b*x))**3) - x**2/(2*b**2*atanh(tanh(a + b*x))**2) - x/(b**3*atanh(tanh(a + b*x))) + log(atanh(tanh(a + b*x)))/b**4, Eq(n, -4)), (Integral(x**3/atanh(tanh(a + b*x))**3, x), Eq(n, -3)), (Integral(x**3/atanh(tanh(a + b*x))**2, x), Eq(n, -2)), (Integral(x**3/atanh(tanh(a + b*x)), x), Eq(n, -1)), (b**3*n**3*x**3*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 9*b**3*n**2*x**3*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 26*b**3*n*x**3*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 24*b**3*x**3*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 3*b**2*n**2*x**2*atanh(tanh(a + b*x))**2*atanh(tanh(a + b*x))**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 21*b**2*n*x**2*atanh(tanh(a + b*x))**2*atanh(tanh(a + b*x))**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 36*b**2*x**2*atanh(tanh(a + b*x))**2*atanh(tanh(a + b*x))**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 6*b*n*x*atanh(tanh(a + b*x))**3*atanh(tanh(a + b*x))**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) + 24*b*x*atanh(tanh(a + b*x))**3*atanh(tanh(a + b*x))**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4) - 6*atanh(tanh(a + b*x))**4*atanh(tanh(a + b*x))**n/(b**4*n**4 + 10*b**4*n**3 + 35*b**4*n**2 + 50*b**4*n + 24*b**4), True))","F",0
268,0,0,0,0.000000," ","integrate(x**2*atanh(tanh(b*x+a))**n,x)","\begin{cases} \frac{x^{3} \operatorname{atanh}^{n}{\left(\tanh{\left(a \right)} \right)}}{3} & \text{for}\: b = 0 \\- \frac{x^{2}}{2 b \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x}{b^{2} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}} + \frac{\log{\left(\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \right)}}{b^{3}} & \text{for}\: n = -3 \\\int \frac{x^{2}}{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -2 \\\int \frac{x^{2}}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -1 \\\frac{b^{2} n^{2} x^{2} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{5 b^{2} n x^{2} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{6 b^{2} x^{2} \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} - \frac{2 b n x \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} - \frac{6 b x \operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} + \frac{2 \operatorname{atanh}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{3} n^{3} + 6 b^{3} n^{2} + 11 b^{3} n + 6 b^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*atanh(tanh(a))**n/3, Eq(b, 0)), (-x**2/(2*b*atanh(tanh(a + b*x))**2) - x/(b**2*atanh(tanh(a + b*x))) + log(atanh(tanh(a + b*x)))/b**3, Eq(n, -3)), (Integral(x**2/atanh(tanh(a + b*x))**2, x), Eq(n, -2)), (Integral(x**2/atanh(tanh(a + b*x)), x), Eq(n, -1)), (b**2*n**2*x**2*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 5*b**2*n*x**2*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 6*b**2*x**2*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) - 2*b*n*x*atanh(tanh(a + b*x))**2*atanh(tanh(a + b*x))**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) - 6*b*x*atanh(tanh(a + b*x))**2*atanh(tanh(a + b*x))**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 2*atanh(tanh(a + b*x))**3*atanh(tanh(a + b*x))**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3), True))","F",0
269,0,0,0,0.000000," ","integrate(x*atanh(tanh(b*x+a))**n,x)","\begin{cases} \frac{x^{2} \operatorname{atanh}^{n}{\left(\tanh{\left(a \right)} \right)}}{2} & \text{for}\: b = 0 \\- \frac{x}{b \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}} + \frac{\log{\left(\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \right)}}{b^{2}} & \text{for}\: n = -2 \\\int \frac{x}{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -1 \\\frac{b n x \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} + \frac{2 b x \operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} - \frac{\operatorname{atanh}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*atanh(tanh(a))**n/2, Eq(b, 0)), (-x/(b*atanh(tanh(a + b*x))) + log(atanh(tanh(a + b*x)))/b**2, Eq(n, -2)), (Integral(x/atanh(tanh(a + b*x)), x), Eq(n, -1)), (b*n*x*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + 2*b*x*atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b**2*n**2 + 3*b**2*n + 2*b**2) - atanh(tanh(a + b*x))**2*atanh(tanh(a + b*x))**n/(b**2*n**2 + 3*b**2*n + 2*b**2), True))","F",0
270,1,51,0,0.688949," ","integrate(atanh(tanh(b*x+a))**n,x)","\begin{cases} \frac{x}{\operatorname{atanh}{\left(\tanh{\left(a \right)} \right)}} & \text{for}\: b = 0 \wedge n = -1 \\x \operatorname{atanh}^{n}{\left(\tanh{\left(a \right)} \right)} & \text{for}\: b = 0 \\\frac{\log{\left(\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \right)}}{b} & \text{for}\: n = -1 \\\frac{\operatorname{atanh}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b n + b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/atanh(tanh(a)), Eq(b, 0) & Eq(n, -1)), (x*atanh(tanh(a))**n, Eq(b, 0)), (log(atanh(tanh(a + b*x)))/b, Eq(n, -1)), (atanh(tanh(a + b*x))*atanh(tanh(a + b*x))**n/(b*n + b), True))","A",0
271,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**n/x,x)","\int \frac{\operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**n/x, x)","F",0
272,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**n/x**2,x)","\int \frac{\operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**n/x**2, x)","F",0
273,0,0,0,0.000000," ","integrate(atanh(tanh(b*x+a))**n/x**3,x)","\int \frac{\operatorname{atanh}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(atanh(tanh(a + b*x))**n/x**3, x)","F",0
274,0,0,0,0.000000," ","integrate(x**m*acoth(tanh(b*x+a)),x)","\begin{cases} b \log{\left(x \right)} - \frac{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{x} & \text{for}\: m = -2 \\\int \frac{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx & \text{for}\: m = -1 \\- \frac{b x^{2} x^{m}}{m^{2} + 3 m + 2} + \frac{m x x^{m} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{2} + 3 m + 2} + \frac{2 x x^{m} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{2} + 3 m + 2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*log(x) - acoth(tanh(a + b*x))/x, Eq(m, -2)), (Integral(acoth(tanh(a + b*x))/x, x), Eq(m, -1)), (-b*x**2*x**m/(m**2 + 3*m + 2) + m*x*x**m*acoth(tanh(a + b*x))/(m**2 + 3*m + 2) + 2*x*x**m*acoth(tanh(a + b*x))/(m**2 + 3*m + 2), True))","F",0
275,1,49,0,11.101472," ","integrate(x**2*atanh(coth(b*x+a)),x)","\begin{cases} \left\langle - \frac{\pi}{6}, \frac{\pi}{6}\right\rangle i x^{3} & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\- \frac{b x^{4}}{12} + \frac{x^{3} \operatorname{atanh}{\left(\frac{1}{\tanh{\left(a + b x \right)}} \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((AccumBounds(-pi/6, pi/6)*I*x**3, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (-b*x**4/12 + x**3*atanh(1/tanh(a + b*x))/3, True))","A",0
276,1,49,0,5.554524," ","integrate(x*atanh(coth(b*x+a)),x)","\begin{cases} \left\langle - \frac{\pi}{4}, \frac{\pi}{4}\right\rangle i x^{2} & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\- \frac{b x^{3}}{6} + \frac{x^{2} \operatorname{atanh}{\left(\frac{1}{\tanh{\left(a + b x \right)}} \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((AccumBounds(-pi/4, pi/4)*I*x**2, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (-b*x**3/6 + x**2*atanh(1/tanh(a + b*x))/2, True))","A",0
277,1,46,0,2.824901," ","integrate(atanh(coth(b*x+a)),x)","\begin{cases} x \operatorname{atanh}{\left(\coth{\left(a \right)} \right)} & \text{for}\: b = 0 \\\left\langle - \frac{\pi}{2}, \frac{\pi}{2}\right\rangle i x & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\\frac{\operatorname{atanh}^{2}{\left(\frac{1}{\tanh{\left(a + b x \right)}} \right)}}{2 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*atanh(coth(a)), Eq(b, 0)), (AccumBounds(-pi/2, pi/2)*I*x, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (atanh(1/tanh(a + b*x))**2/(2*b), True))","A",0
278,0,0,0,0.000000," ","integrate(atanh(coth(b*x+a))/x,x)","\int \frac{\operatorname{atanh}{\left(\coth{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(coth(a + b*x))/x, x)","F",0
279,1,42,0,5.777263," ","integrate(atanh(coth(b*x+a))/x**2,x)","\begin{cases} \frac{\left\langle - \frac{\pi}{2}, \frac{\pi}{2}\right\rangle i}{x} & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\b \log{\left(x \right)} - \frac{\operatorname{atanh}{\left(\frac{1}{\tanh{\left(a + b x \right)}} \right)}}{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((AccumBounds(-pi/2, pi/2)*I/x, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (b*log(x) - atanh(1/tanh(a + b*x))/x, True))","A",0
280,1,49,0,10.939357," ","integrate(atanh(coth(b*x+a))/x**3,x)","\begin{cases} \frac{\left\langle - \frac{\pi}{4}, \frac{\pi}{4}\right\rangle i}{x^{2}} & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\- \frac{b}{2 x} - \frac{\operatorname{atanh}{\left(\frac{1}{\tanh{\left(a + b x \right)}} \right)}}{2 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((AccumBounds(-pi/4, pi/4)*I/x**2, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (-b/(2*x) - atanh(1/tanh(a + b*x))/(2*x**2), True))","A",0
281,0,0,0,0.000000," ","integrate(atanh(cosh(x)),x)","\int \operatorname{atanh}{\left(\cosh{\left(x \right)} \right)}\, dx"," ",0,"Integral(atanh(cosh(x)), x)","F",0
282,0,0,0,0.000000," ","integrate(x*atanh(cosh(x)),x)","\int x \operatorname{atanh}{\left(\cosh{\left(x \right)} \right)}\, dx"," ",0,"Integral(x*atanh(cosh(x)), x)","F",0
283,0,0,0,0.000000," ","integrate(x**2*atanh(cosh(x)),x)","\int x^{2} \operatorname{atanh}{\left(\cosh{\left(x \right)} \right)}\, dx"," ",0,"Integral(x**2*atanh(cosh(x)), x)","F",0
284,0,0,0,0.000000," ","integrate(x**2*atanh(c+d*tanh(b*x+a)),x)","\int x^{2} \operatorname{atanh}{\left(c + d \tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**2*atanh(c + d*tanh(a + b*x)), x)","F",0
285,0,0,0,0.000000," ","integrate(x*atanh(c+d*tanh(b*x+a)),x)","\int x \operatorname{atanh}{\left(c + d \tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x*atanh(c + d*tanh(a + b*x)), x)","F",0
286,0,0,0,0.000000," ","integrate(atanh(c+d*tanh(b*x+a)),x)","\int \operatorname{atanh}{\left(c + d \tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(atanh(c + d*tanh(a + b*x)), x)","F",0
287,0,0,0,0.000000," ","integrate(atanh(c+d*tanh(b*x+a))/x,x)","\int \frac{\operatorname{atanh}{\left(c + d \tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(c + d*tanh(a + b*x))/x, x)","F",0
288,0,0,0,0.000000," ","integrate(x**3*atanh(1+d+d*tanh(b*x+a)),x)","\int x^{3} \operatorname{atanh}{\left(d \tanh{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x**3*atanh(d*tanh(a + b*x) + d + 1), x)","F",0
289,0,0,0,0.000000," ","integrate(x**2*atanh(1+d+d*tanh(b*x+a)),x)","\int x^{2} \operatorname{atanh}{\left(d \tanh{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x**2*atanh(d*tanh(a + b*x) + d + 1), x)","F",0
290,0,0,0,0.000000," ","integrate(x*atanh(1+d+d*tanh(b*x+a)),x)","\int x \operatorname{atanh}{\left(d \tanh{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x*atanh(d*tanh(a + b*x) + d + 1), x)","F",0
291,0,0,0,0.000000," ","integrate(atanh(1+d+d*tanh(b*x+a)),x)","\int \operatorname{atanh}{\left(d \tanh{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(atanh(d*tanh(a + b*x) + d + 1), x)","F",0
292,0,0,0,0.000000," ","integrate(atanh(1+d+d*tanh(b*x+a))/x,x)","\int \frac{\operatorname{atanh}{\left(d \tanh{\left(a + b x \right)} + d + 1 \right)}}{x}\, dx"," ",0,"Integral(atanh(d*tanh(a + b*x) + d + 1)/x, x)","F",0
293,0,0,0,0.000000," ","integrate(-x**3*atanh(-1+d+d*tanh(b*x+a)),x)","- \int x^{3} \operatorname{atanh}{\left(d \tanh{\left(a + b x \right)} + d - 1 \right)}\, dx"," ",0,"-Integral(x**3*atanh(d*tanh(a + b*x) + d - 1), x)","F",0
294,0,0,0,0.000000," ","integrate(-x**2*atanh(-1+d+d*tanh(b*x+a)),x)","- \int x^{2} \operatorname{atanh}{\left(d \tanh{\left(a + b x \right)} + d - 1 \right)}\, dx"," ",0,"-Integral(x**2*atanh(d*tanh(a + b*x) + d - 1), x)","F",0
295,0,0,0,0.000000," ","integrate(-x*atanh(-1+d+d*tanh(b*x+a)),x)","- \int x \operatorname{atanh}{\left(d \tanh{\left(a + b x \right)} + d - 1 \right)}\, dx"," ",0,"-Integral(x*atanh(d*tanh(a + b*x) + d - 1), x)","F",0
296,0,0,0,0.000000," ","integrate(-atanh(-1+d+d*tanh(b*x+a)),x)","- \int \operatorname{atanh}{\left(d \tanh{\left(a + b x \right)} + d - 1 \right)}\, dx"," ",0,"-Integral(atanh(d*tanh(a + b*x) + d - 1), x)","F",0
297,0,0,0,0.000000," ","integrate(-atanh(-1+d+d*tanh(b*x+a))/x,x)","- \int \frac{\operatorname{atanh}{\left(d \tanh{\left(a + b x \right)} + d - 1 \right)}}{x}\, dx"," ",0,"-Integral(atanh(d*tanh(a + b*x) + d - 1)/x, x)","F",0
298,0,0,0,0.000000," ","integrate(x**2*atanh(c+d*coth(b*x+a)),x)","\int x^{2} \operatorname{atanh}{\left(c + d \coth{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**2*atanh(c + d*coth(a + b*x)), x)","F",0
299,0,0,0,0.000000," ","integrate(x*atanh(c+d*coth(b*x+a)),x)","\int x \operatorname{atanh}{\left(c + d \coth{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x*atanh(c + d*coth(a + b*x)), x)","F",0
300,0,0,0,0.000000," ","integrate(atanh(c+d*coth(b*x+a)),x)","\int \operatorname{atanh}{\left(c + d \coth{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(atanh(c + d*coth(a + b*x)), x)","F",0
301,0,0,0,0.000000," ","integrate(atanh(c+d*coth(b*x+a))/x,x)","\int \frac{\operatorname{atanh}{\left(c + d \coth{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(c + d*coth(a + b*x))/x, x)","F",0
302,0,0,0,0.000000," ","integrate(x**3*atanh(1+d+d*coth(b*x+a)),x)","\int x^{3} \operatorname{atanh}{\left(d \coth{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x**3*atanh(d*coth(a + b*x) + d + 1), x)","F",0
303,0,0,0,0.000000," ","integrate(x**2*atanh(1+d+d*coth(b*x+a)),x)","\int x^{2} \operatorname{atanh}{\left(d \coth{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x**2*atanh(d*coth(a + b*x) + d + 1), x)","F",0
304,0,0,0,0.000000," ","integrate(x*atanh(1+d+d*coth(b*x+a)),x)","\int x \operatorname{atanh}{\left(d \coth{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x*atanh(d*coth(a + b*x) + d + 1), x)","F",0
305,0,0,0,0.000000," ","integrate(atanh(1+d+d*coth(b*x+a)),x)","\int \operatorname{atanh}{\left(d \coth{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(atanh(d*coth(a + b*x) + d + 1), x)","F",0
306,0,0,0,0.000000," ","integrate(atanh(1+d+d*coth(b*x+a))/x,x)","\int \frac{\operatorname{atanh}{\left(d \coth{\left(a + b x \right)} + d + 1 \right)}}{x}\, dx"," ",0,"Integral(atanh(d*coth(a + b*x) + d + 1)/x, x)","F",0
307,0,0,0,0.000000," ","integrate(-x**3*atanh(-1+d+d*coth(b*x+a)),x)","- \int x^{3} \operatorname{atanh}{\left(d \coth{\left(a + b x \right)} + d - 1 \right)}\, dx"," ",0,"-Integral(x**3*atanh(d*coth(a + b*x) + d - 1), x)","F",0
308,0,0,0,0.000000," ","integrate(-x**2*atanh(-1+d+d*coth(b*x+a)),x)","- \int x^{2} \operatorname{atanh}{\left(d \coth{\left(a + b x \right)} + d - 1 \right)}\, dx"," ",0,"-Integral(x**2*atanh(d*coth(a + b*x) + d - 1), x)","F",0
309,0,0,0,0.000000," ","integrate(-x*atanh(-1+d+d*coth(b*x+a)),x)","- \int x \operatorname{atanh}{\left(d \coth{\left(a + b x \right)} + d - 1 \right)}\, dx"," ",0,"-Integral(x*atanh(d*coth(a + b*x) + d - 1), x)","F",0
310,0,0,0,0.000000," ","integrate(-atanh(-1+d+d*coth(b*x+a)),x)","- \int \operatorname{atanh}{\left(d \coth{\left(a + b x \right)} + d - 1 \right)}\, dx"," ",0,"-Integral(atanh(d*coth(a + b*x) + d - 1), x)","F",0
311,0,0,0,0.000000," ","integrate(-atanh(-1+d+d*coth(b*x+a))/x,x)","- \int \frac{\operatorname{atanh}{\left(d \coth{\left(a + b x \right)} + d - 1 \right)}}{x}\, dx"," ",0,"-Integral(atanh(d*coth(a + b*x) + d - 1)/x, x)","F",0
312,0,0,0,0.000000," ","integrate((f*x+e)**3*atanh(tan(b*x+a)),x)","\int \left(e + f x\right)^{3} \operatorname{atanh}{\left(\tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**3*atanh(tan(a + b*x)), x)","F",0
313,0,0,0,0.000000," ","integrate((f*x+e)**2*atanh(tan(b*x+a)),x)","\int \left(e + f x\right)^{2} \operatorname{atanh}{\left(\tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**2*atanh(tan(a + b*x)), x)","F",0
314,0,0,0,0.000000," ","integrate((f*x+e)*atanh(tan(b*x+a)),x)","\int \left(e + f x\right) \operatorname{atanh}{\left(\tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)*atanh(tan(a + b*x)), x)","F",0
315,0,0,0,0.000000," ","integrate(atanh(tan(b*x+a)),x)","\int \operatorname{atanh}{\left(\tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(atanh(tan(a + b*x)), x)","F",0
316,0,0,0,0.000000," ","integrate(atanh(tan(b*x+a))/(f*x+e),x)","\int \frac{\operatorname{atanh}{\left(\tan{\left(a + b x \right)} \right)}}{e + f x}\, dx"," ",0,"Integral(atanh(tan(a + b*x))/(e + f*x), x)","F",0
317,0,0,0,0.000000," ","integrate(x**2*atanh(c+d*tan(b*x+a)),x)","\int x^{2} \operatorname{atanh}{\left(c + d \tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**2*atanh(c + d*tan(a + b*x)), x)","F",0
318,0,0,0,0.000000," ","integrate(x*atanh(c+d*tan(b*x+a)),x)","\int x \operatorname{atanh}{\left(c + d \tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x*atanh(c + d*tan(a + b*x)), x)","F",0
319,0,0,0,0.000000," ","integrate(atanh(c+d*tan(b*x+a)),x)","\int \operatorname{atanh}{\left(c + d \tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(atanh(c + d*tan(a + b*x)), x)","F",0
320,0,0,0,0.000000," ","integrate(atanh(c+d*tan(b*x+a))/x,x)","\int \frac{\operatorname{atanh}{\left(c + d \tan{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(c + d*tan(a + b*x))/x, x)","F",0
321,0,0,0,0.000000," ","integrate(x**2*atanh(1-I*d+d*tan(b*x+a)),x)","\int x^{2} \operatorname{atanh}{\left(d \tan{\left(a + b x \right)} - i d + 1 \right)}\, dx"," ",0,"Integral(x**2*atanh(d*tan(a + b*x) - I*d + 1), x)","F",0
322,0,0,0,0.000000," ","integrate(x*atanh(1-I*d+d*tan(b*x+a)),x)","\int x \operatorname{atanh}{\left(d \tan{\left(a + b x \right)} - i d + 1 \right)}\, dx"," ",0,"Integral(x*atanh(d*tan(a + b*x) - I*d + 1), x)","F",0
323,0,0,0,0.000000," ","integrate(atanh(1-I*d+d*tan(b*x+a)),x)","\int \operatorname{atanh}{\left(d \tan{\left(a + b x \right)} - i d + 1 \right)}\, dx"," ",0,"Integral(atanh(d*tan(a + b*x) - I*d + 1), x)","F",0
324,0,0,0,0.000000," ","integrate(atanh(1-I*d+d*tan(b*x+a))/x,x)","\int \frac{\operatorname{atanh}{\left(d \tan{\left(a + b x \right)} - i d + 1 \right)}}{x}\, dx"," ",0,"Integral(atanh(d*tan(a + b*x) - I*d + 1)/x, x)","F",0
325,0,0,0,0.000000," ","integrate(-x**2*atanh(-1-I*d+d*tan(b*x+a)),x)","- \int x^{2} \operatorname{atanh}{\left(d \tan{\left(a + b x \right)} - i d - 1 \right)}\, dx"," ",0,"-Integral(x**2*atanh(d*tan(a + b*x) - I*d - 1), x)","F",0
326,0,0,0,0.000000," ","integrate(-x*atanh(-1-I*d+d*tan(b*x+a)),x)","- \int x \operatorname{atanh}{\left(d \tan{\left(a + b x \right)} - i d - 1 \right)}\, dx"," ",0,"-Integral(x*atanh(d*tan(a + b*x) - I*d - 1), x)","F",0
327,0,0,0,0.000000," ","integrate(-atanh(-1-I*d+d*tan(b*x+a)),x)","- \int \operatorname{atanh}{\left(d \tan{\left(a + b x \right)} - i d - 1 \right)}\, dx"," ",0,"-Integral(atanh(d*tan(a + b*x) - I*d - 1), x)","F",0
328,0,0,0,0.000000," ","integrate(-atanh(-1-I*d+d*tan(b*x+a))/x,x)","- \int \frac{\operatorname{atanh}{\left(d \tan{\left(a + b x \right)} - i d - 1 \right)}}{x}\, dx"," ",0,"-Integral(atanh(d*tan(a + b*x) - I*d - 1)/x, x)","F",0
329,0,0,0,0.000000," ","integrate((f*x+e)**3*atanh(cot(b*x+a)),x)","\int \left(e + f x\right)^{3} \operatorname{atanh}{\left(\cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**3*atanh(cot(a + b*x)), x)","F",0
330,0,0,0,0.000000," ","integrate((f*x+e)**2*atanh(cot(b*x+a)),x)","\int \left(e + f x\right)^{2} \operatorname{atanh}{\left(\cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**2*atanh(cot(a + b*x)), x)","F",0
331,0,0,0,0.000000," ","integrate((f*x+e)*atanh(cot(b*x+a)),x)","\int \left(e + f x\right) \operatorname{atanh}{\left(\cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)*atanh(cot(a + b*x)), x)","F",0
332,0,0,0,0.000000," ","integrate(atanh(cot(b*x+a)),x)","\int \operatorname{atanh}{\left(\cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(atanh(cot(a + b*x)), x)","F",0
333,0,0,0,0.000000," ","integrate(atanh(cot(b*x+a))/(f*x+e),x)","\int \frac{\operatorname{atanh}{\left(\cot{\left(a + b x \right)} \right)}}{e + f x}\, dx"," ",0,"Integral(atanh(cot(a + b*x))/(e + f*x), x)","F",0
334,0,0,0,0.000000," ","integrate(x**2*atanh(c+d*cot(b*x+a)),x)","\int x^{2} \operatorname{atanh}{\left(c + d \cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**2*atanh(c + d*cot(a + b*x)), x)","F",0
335,0,0,0,0.000000," ","integrate(x*atanh(c+d*cot(b*x+a)),x)","\int x \operatorname{atanh}{\left(c + d \cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x*atanh(c + d*cot(a + b*x)), x)","F",0
336,0,0,0,0.000000," ","integrate(atanh(c+d*cot(b*x+a)),x)","\int \operatorname{atanh}{\left(c + d \cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(atanh(c + d*cot(a + b*x)), x)","F",0
337,0,0,0,0.000000," ","integrate(atanh(c+d*cot(b*x+a))/x,x)","\int \frac{\operatorname{atanh}{\left(c + d \cot{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(atanh(c + d*cot(a + b*x))/x, x)","F",0
338,0,0,0,0.000000," ","integrate(x**2*atanh(1+I*d+d*cot(b*x+a)),x)","\int x^{2} \operatorname{atanh}{\left(d \cot{\left(a + b x \right)} + i d + 1 \right)}\, dx"," ",0,"Integral(x**2*atanh(d*cot(a + b*x) + I*d + 1), x)","F",0
339,0,0,0,0.000000," ","integrate(x*atanh(1+I*d+d*cot(b*x+a)),x)","\int x \operatorname{atanh}{\left(d \cot{\left(a + b x \right)} + i d + 1 \right)}\, dx"," ",0,"Integral(x*atanh(d*cot(a + b*x) + I*d + 1), x)","F",0
340,0,0,0,0.000000," ","integrate(atanh(1+I*d+d*cot(b*x+a)),x)","\int \operatorname{atanh}{\left(d \cot{\left(a + b x \right)} + i d + 1 \right)}\, dx"," ",0,"Integral(atanh(d*cot(a + b*x) + I*d + 1), x)","F",0
341,0,0,0,0.000000," ","integrate(atanh(1+I*d+d*cot(b*x+a))/x,x)","\int \frac{\operatorname{atanh}{\left(d \cot{\left(a + b x \right)} + i d + 1 \right)}}{x}\, dx"," ",0,"Integral(atanh(d*cot(a + b*x) + I*d + 1)/x, x)","F",0
342,0,0,0,0.000000," ","integrate(-x**2*atanh(-1+I*d+d*cot(b*x+a)),x)","- \int x^{2} \operatorname{atanh}{\left(d \cot{\left(a + b x \right)} + i d - 1 \right)}\, dx"," ",0,"-Integral(x**2*atanh(d*cot(a + b*x) + I*d - 1), x)","F",0
343,0,0,0,0.000000," ","integrate(-x*atanh(-1+I*d+d*cot(b*x+a)),x)","- \int x \operatorname{atanh}{\left(d \cot{\left(a + b x \right)} + i d - 1 \right)}\, dx"," ",0,"-Integral(x*atanh(d*cot(a + b*x) + I*d - 1), x)","F",0
344,0,0,0,0.000000," ","integrate(-atanh(-1+I*d+d*cot(b*x+a)),x)","- \int \operatorname{atanh}{\left(d \cot{\left(a + b x \right)} + i d - 1 \right)}\, dx"," ",0,"-Integral(atanh(d*cot(a + b*x) + I*d - 1), x)","F",0
345,0,0,0,0.000000," ","integrate(-atanh(-1+I*d+d*cot(b*x+a))/x,x)","- \int \frac{\operatorname{atanh}{\left(d \cot{\left(a + b x \right)} + i d - 1 \right)}}{x}\, dx"," ",0,"-Integral(atanh(d*cot(a + b*x) + I*d - 1)/x, x)","F",0
346,0,0,0,0.000000," ","integrate(atanh(exp(x)),x)","\int \operatorname{atanh}{\left(e^{x} \right)}\, dx"," ",0,"Integral(atanh(exp(x)), x)","F",0
347,0,0,0,0.000000," ","integrate(x*atanh(exp(x)),x)","\int x \operatorname{atanh}{\left(e^{x} \right)}\, dx"," ",0,"Integral(x*atanh(exp(x)), x)","F",0
348,0,0,0,0.000000," ","integrate(x**2*atanh(exp(x)),x)","\int x^{2} \operatorname{atanh}{\left(e^{x} \right)}\, dx"," ",0,"Integral(x**2*atanh(exp(x)), x)","F",0
349,0,0,0,0.000000," ","integrate(atanh(exp(b*x+a)),x)","\int \operatorname{atanh}{\left(e^{a + b x} \right)}\, dx"," ",0,"Integral(atanh(exp(a + b*x)), x)","F",0
350,0,0,0,0.000000," ","integrate(x*atanh(exp(b*x+a)),x)","\int x \operatorname{atanh}{\left(e^{a} e^{b x} \right)}\, dx"," ",0,"Integral(x*atanh(exp(a)*exp(b*x)), x)","F",0
351,0,0,0,0.000000," ","integrate(x**2*atanh(exp(b*x+a)),x)","\int x^{2} \operatorname{atanh}{\left(e^{a} e^{b x} \right)}\, dx"," ",0,"Integral(x**2*atanh(exp(a)*exp(b*x)), x)","F",0
352,-1,0,0,0.000000," ","integrate(atanh(a+b*f**(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
353,-1,0,0,0.000000," ","integrate(x*atanh(a+b*f**(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
354,-1,0,0,0.000000," ","integrate(x**2*atanh(a+b*f**(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
355,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*atanh(sinh(b*c*x+a*c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
356,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*atanh(cosh(b*c*x+a*c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
357,1,56,0,3.306042," ","integrate(exp(c*(b*x+a))*atanh(tanh(b*c*x+a*c)),x)","\begin{cases} 0 & \text{for}\: b = 0 \wedge c = 0 \\x e^{a c} \operatorname{atanh}{\left(\tanh{\left(a c \right)} \right)} & \text{for}\: b = 0 \\0 & \text{for}\: c = 0 \\\frac{e^{a c} e^{b c x} \operatorname{atanh}{\left(\tanh{\left(a c + b c x \right)} \right)}}{b c} - \frac{e^{a c} e^{b c x}}{b c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(b, 0) & Eq(c, 0)), (x*exp(a*c)*atanh(tanh(a*c)), Eq(b, 0)), (0, Eq(c, 0)), (exp(a*c)*exp(b*c*x)*atanh(tanh(a*c + b*c*x))/(b*c) - exp(a*c)*exp(b*c*x)/(b*c), True))","A",0
358,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*atanh(coth(b*c*x+a*c)),x)","e^{a c} \int e^{b c x} \operatorname{atanh}{\left(\coth{\left(a c + b c x \right)} \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*atanh(coth(a*c + b*c*x)), x)","F",0
359,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*atanh(sech(b*c*x+a*c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
360,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*atanh(csch(b*c*x+a*c)),x)","e^{a c} \int e^{b c x} \operatorname{atanh}{\left(\operatorname{csch}{\left(a c + b c x \right)} \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*atanh(csch(a*c + b*c*x)), x)","F",0
361,-1,0,0,0.000000," ","integrate((a+b*atanh(c*x**n))*(d+e*ln(f*x**m))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
