1,1,49,0,1.525207," ","integrate(x**5*acoth(a*x),x)","\begin{cases} \frac{x^{6} \operatorname{acoth}{\left(a x \right)}}{6} + \frac{x^{5}}{30 a} + \frac{x^{3}}{18 a^{3}} + \frac{x}{6 a^{5}} - \frac{\operatorname{acoth}{\left(a x \right)}}{6 a^{6}} & \text{for}\: a \neq 0 \\\frac{i \pi x^{6}}{12} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*acoth(a*x)/6 + x**5/(30*a) + x**3/(18*a**3) + x/(6*a**5) - acoth(a*x)/(6*a**6), Ne(a, 0)), (I*pi*x**6/12, True))","A",0
2,1,54,0,1.180053," ","integrate(x**4*acoth(a*x),x)","\begin{cases} \frac{x^{5} \operatorname{acoth}{\left(a x \right)}}{5} + \frac{x^{4}}{20 a} + \frac{x^{2}}{10 a^{3}} + \frac{\log{\left(a x + 1 \right)}}{5 a^{5}} - \frac{\operatorname{acoth}{\left(a x \right)}}{5 a^{5}} & \text{for}\: a \neq 0 \\\frac{i \pi x^{5}}{10} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*acoth(a*x)/5 + x**4/(20*a) + x**2/(10*a**3) + log(a*x + 1)/(5*a**5) - acoth(a*x)/(5*a**5), Ne(a, 0)), (I*pi*x**5/10, True))","A",0
3,1,41,0,0.867648," ","integrate(x**3*acoth(a*x),x)","\begin{cases} \frac{x^{4} \operatorname{acoth}{\left(a x \right)}}{4} + \frac{x^{3}}{12 a} + \frac{x}{4 a^{3}} - \frac{\operatorname{acoth}{\left(a x \right)}}{4 a^{4}} & \text{for}\: a \neq 0 \\\frac{i \pi x^{4}}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*acoth(a*x)/4 + x**3/(12*a) + x/(4*a**3) - acoth(a*x)/(4*a**4), Ne(a, 0)), (I*pi*x**4/8, True))","A",0
4,1,46,0,0.665103," ","integrate(x**2*acoth(a*x),x)","\begin{cases} \frac{x^{3} \operatorname{acoth}{\left(a x \right)}}{3} + \frac{x^{2}}{6 a} + \frac{\log{\left(a x + 1 \right)}}{3 a^{3}} - \frac{\operatorname{acoth}{\left(a x \right)}}{3 a^{3}} & \text{for}\: a \neq 0 \\\frac{i \pi x^{3}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*acoth(a*x)/3 + x**2/(6*a) + log(a*x + 1)/(3*a**3) - acoth(a*x)/(3*a**3), Ne(a, 0)), (I*pi*x**3/6, True))","A",0
5,1,32,0,0.454296," ","integrate(x*acoth(a*x),x)","\begin{cases} \frac{x^{2} \operatorname{acoth}{\left(a x \right)}}{2} + \frac{x}{2 a} - \frac{\operatorname{acoth}{\left(a x \right)}}{2 a^{2}} & \text{for}\: a \neq 0 \\\frac{i \pi x^{2}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*acoth(a*x)/2 + x/(2*a) - acoth(a*x)/(2*a**2), Ne(a, 0)), (I*pi*x**2/4, True))","A",0
6,1,27,0,0.332332," ","integrate(acoth(a*x),x)","\begin{cases} x \operatorname{acoth}{\left(a x \right)} + \frac{\log{\left(a x + 1 \right)}}{a} - \frac{\operatorname{acoth}{\left(a x \right)}}{a} & \text{for}\: a \neq 0 \\\frac{i \pi x}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*acoth(a*x) + log(a*x + 1)/a - acoth(a*x)/a, Ne(a, 0)), (I*pi*x/2, True))","A",0
7,0,0,0,0.000000," ","integrate(acoth(a*x)/x,x)","\int \frac{\operatorname{acoth}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(acoth(a*x)/x, x)","F",0
8,1,26,0,0.374969," ","integrate(acoth(a*x)/x**2,x)","a \log{\left(x \right)} - a \log{\left(a x + 1 \right)} + a \operatorname{acoth}{\left(a x \right)} - \frac{\operatorname{acoth}{\left(a x \right)}}{x}"," ",0,"a*log(x) - a*log(a*x + 1) + a*acoth(a*x) - acoth(a*x)/x","A",0
9,1,24,0,0.544897," ","integrate(acoth(a*x)/x**3,x)","\frac{a^{2} \operatorname{acoth}{\left(a x \right)}}{2} - \frac{a}{2 x} - \frac{\operatorname{acoth}{\left(a x \right)}}{2 x^{2}}"," ",0,"a**2*acoth(a*x)/2 - a/(2*x) - acoth(a*x)/(2*x**2)","A",0
10,1,46,0,0.735982," ","integrate(acoth(a*x)/x**4,x)","\frac{a^{3} \log{\left(x \right)}}{3} - \frac{a^{3} \log{\left(a x + 1 \right)}}{3} + \frac{a^{3} \operatorname{acoth}{\left(a x \right)}}{3} - \frac{a}{6 x^{2}} - \frac{\operatorname{acoth}{\left(a x \right)}}{3 x^{3}}"," ",0,"a**3*log(x)/3 - a**3*log(a*x + 1)/3 + a**3*acoth(a*x)/3 - a/(6*x**2) - acoth(a*x)/(3*x**3)","A",0
11,1,32,0,1.158866," ","integrate(acoth(a*x)/x**5,x)","\frac{a^{4} \operatorname{acoth}{\left(a x \right)}}{4} - \frac{a^{3}}{4 x} - \frac{a}{12 x^{3}} - \frac{\operatorname{acoth}{\left(a x \right)}}{4 x^{4}}"," ",0,"a**4*acoth(a*x)/4 - a**3/(4*x) - a/(12*x**3) - acoth(a*x)/(4*x**4)","A",0
12,1,114,0,3.307103," ","integrate(x**5*acoth(a*x)**2,x)","\begin{cases} \frac{x^{6} \operatorname{acoth}^{2}{\left(a x \right)}}{6} + \frac{x^{5} \operatorname{acoth}{\left(a x \right)}}{15 a} + \frac{x^{4}}{60 a^{2}} + \frac{x^{3} \operatorname{acoth}{\left(a x \right)}}{9 a^{3}} + \frac{4 x^{2}}{45 a^{4}} + \frac{x \operatorname{acoth}{\left(a x \right)}}{3 a^{5}} + \frac{23 \log{\left(a x + 1 \right)}}{45 a^{6}} - \frac{\operatorname{acoth}^{2}{\left(a x \right)}}{6 a^{6}} - \frac{23 \operatorname{acoth}{\left(a x \right)}}{45 a^{6}} & \text{for}\: a \neq 0 \\- \frac{\pi^{2} x^{6}}{24} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*acoth(a*x)**2/6 + x**5*acoth(a*x)/(15*a) + x**4/(60*a**2) + x**3*acoth(a*x)/(9*a**3) + 4*x**2/(45*a**4) + x*acoth(a*x)/(3*a**5) + 23*log(a*x + 1)/(45*a**6) - acoth(a*x)**2/(6*a**6) - 23*acoth(a*x)/(45*a**6), Ne(a, 0)), (-pi**2*x**6/24, True))","A",0
13,0,0,0,0.000000," ","integrate(x**4*acoth(a*x)**2,x)","\int x^{4} \operatorname{acoth}^{2}{\left(a x \right)}\, dx"," ",0,"Integral(x**4*acoth(a*x)**2, x)","F",0
14,1,90,0,1.442505," ","integrate(x**3*acoth(a*x)**2,x)","\begin{cases} \frac{x^{4} \operatorname{acoth}^{2}{\left(a x \right)}}{4} + \frac{x^{3} \operatorname{acoth}{\left(a x \right)}}{6 a} + \frac{x^{2}}{12 a^{2}} + \frac{x \operatorname{acoth}{\left(a x \right)}}{2 a^{3}} + \frac{2 \log{\left(a x + 1 \right)}}{3 a^{4}} - \frac{\operatorname{acoth}^{2}{\left(a x \right)}}{4 a^{4}} - \frac{2 \operatorname{acoth}{\left(a x \right)}}{3 a^{4}} & \text{for}\: a \neq 0 \\- \frac{\pi^{2} x^{4}}{16} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*acoth(a*x)**2/4 + x**3*acoth(a*x)/(6*a) + x**2/(12*a**2) + x*acoth(a*x)/(2*a**3) + 2*log(a*x + 1)/(3*a**4) - acoth(a*x)**2/(4*a**4) - 2*acoth(a*x)/(3*a**4), Ne(a, 0)), (-pi**2*x**4/16, True))","A",0
15,0,0,0,0.000000," ","integrate(x**2*acoth(a*x)**2,x)","\int x^{2} \operatorname{acoth}^{2}{\left(a x \right)}\, dx"," ",0,"Integral(x**2*acoth(a*x)**2, x)","F",0
16,1,60,0,0.783311," ","integrate(x*acoth(a*x)**2,x)","\begin{cases} \frac{x^{2} \operatorname{acoth}^{2}{\left(a x \right)}}{2} + \frac{x \operatorname{acoth}{\left(a x \right)}}{a} + \frac{\log{\left(a x + 1 \right)}}{a^{2}} - \frac{\operatorname{acoth}^{2}{\left(a x \right)}}{2 a^{2}} - \frac{\operatorname{acoth}{\left(a x \right)}}{a^{2}} & \text{for}\: a \neq 0 \\- \frac{\pi^{2} x^{2}}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*acoth(a*x)**2/2 + x*acoth(a*x)/a + log(a*x + 1)/a**2 - acoth(a*x)**2/(2*a**2) - acoth(a*x)/a**2, Ne(a, 0)), (-pi**2*x**2/8, True))","A",0
17,0,0,0,0.000000," ","integrate(acoth(a*x)**2,x)","\int \operatorname{acoth}^{2}{\left(a x \right)}\, dx"," ",0,"Integral(acoth(a*x)**2, x)","F",0
18,0,0,0,0.000000," ","integrate(acoth(a*x)**2/x,x)","\int \frac{\operatorname{acoth}^{2}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(acoth(a*x)**2/x, x)","F",0
19,0,0,0,0.000000," ","integrate(acoth(a*x)**2/x**2,x)","\int \frac{\operatorname{acoth}^{2}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(acoth(a*x)**2/x**2, x)","F",0
20,1,56,0,1.576729," ","integrate(acoth(a*x)**2/x**3,x)","a^{2} \log{\left(x \right)} - a^{2} \log{\left(a x + 1 \right)} + \frac{a^{2} \operatorname{acoth}^{2}{\left(a x \right)}}{2} + a^{2} \operatorname{acoth}{\left(a x \right)} - \frac{a \operatorname{acoth}{\left(a x \right)}}{x} - \frac{\operatorname{acoth}^{2}{\left(a x \right)}}{2 x^{2}}"," ",0,"a**2*log(x) - a**2*log(a*x + 1) + a**2*acoth(a*x)**2/2 + a**2*acoth(a*x) - a*acoth(a*x)/x - acoth(a*x)**2/(2*x**2)","A",0
21,0,0,0,0.000000," ","integrate(acoth(a*x)**2/x**4,x)","\int \frac{\operatorname{acoth}^{2}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(acoth(a*x)**2/x**4, x)","F",0
22,1,90,0,2.636041," ","integrate(acoth(a*x)**2/x**5,x)","\frac{2 a^{4} \log{\left(x \right)}}{3} - \frac{2 a^{4} \log{\left(a x + 1 \right)}}{3} + \frac{a^{4} \operatorname{acoth}^{2}{\left(a x \right)}}{4} + \frac{2 a^{4} \operatorname{acoth}{\left(a x \right)}}{3} - \frac{a^{3} \operatorname{acoth}{\left(a x \right)}}{2 x} - \frac{a^{2}}{12 x^{2}} - \frac{a \operatorname{acoth}{\left(a x \right)}}{6 x^{3}} - \frac{\operatorname{acoth}^{2}{\left(a x \right)}}{4 x^{4}}"," ",0,"2*a**4*log(x)/3 - 2*a**4*log(a*x + 1)/3 + a**4*acoth(a*x)**2/4 + 2*a**4*acoth(a*x)/3 - a**3*acoth(a*x)/(2*x) - a**2/(12*x**2) - a*acoth(a*x)/(6*x**3) - acoth(a*x)**2/(4*x**4)","A",0
23,0,0,0,0.000000," ","integrate(x**5*acoth(a*x)**3,x)","\int x^{5} \operatorname{acoth}^{3}{\left(a x \right)}\, dx"," ",0,"Integral(x**5*acoth(a*x)**3, x)","F",0
24,0,0,0,0.000000," ","integrate(x**4*acoth(a*x)**3,x)","\int x^{4} \operatorname{acoth}^{3}{\left(a x \right)}\, dx"," ",0,"Integral(x**4*acoth(a*x)**3, x)","F",0
25,0,0,0,0.000000," ","integrate(x**3*acoth(a*x)**3,x)","\int x^{3} \operatorname{acoth}^{3}{\left(a x \right)}\, dx"," ",0,"Integral(x**3*acoth(a*x)**3, x)","F",0
26,0,0,0,0.000000," ","integrate(x**2*acoth(a*x)**3,x)","\int x^{2} \operatorname{acoth}^{3}{\left(a x \right)}\, dx"," ",0,"Integral(x**2*acoth(a*x)**3, x)","F",0
27,0,0,0,0.000000," ","integrate(x*acoth(a*x)**3,x)","\int x \operatorname{acoth}^{3}{\left(a x \right)}\, dx"," ",0,"Integral(x*acoth(a*x)**3, x)","F",0
28,0,0,0,0.000000," ","integrate(acoth(a*x)**3,x)","\int \operatorname{acoth}^{3}{\left(a x \right)}\, dx"," ",0,"Integral(acoth(a*x)**3, x)","F",0
29,0,0,0,0.000000," ","integrate(acoth(a*x)**3/x,x)","\int \frac{\operatorname{acoth}^{3}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(acoth(a*x)**3/x, x)","F",0
30,0,0,0,0.000000," ","integrate(acoth(a*x)**3/x**2,x)","\int \frac{\operatorname{acoth}^{3}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(acoth(a*x)**3/x**2, x)","F",0
31,0,0,0,0.000000," ","integrate(acoth(a*x)**3/x**3,x)","\int \frac{\operatorname{acoth}^{3}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(acoth(a*x)**3/x**3, x)","F",0
32,0,0,0,0.000000," ","integrate(acoth(a*x)**3/x**4,x)","\int \frac{\operatorname{acoth}^{3}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(acoth(a*x)**3/x**4, x)","F",0
33,0,0,0,0.000000," ","integrate(acoth(a*x)**3/x**5,x)","\int \frac{\operatorname{acoth}^{3}{\left(a x \right)}}{x^{5}}\, dx"," ",0,"Integral(acoth(a*x)**3/x**5, x)","F",0
34,0,0,0,0.000000," ","integrate(acoth(c*x)**2/(e*x+d),x)","\int \frac{\operatorname{acoth}^{2}{\left(c x \right)}}{d + e x}\, dx"," ",0,"Integral(acoth(c*x)**2/(d + e*x), x)","F",0
35,1,427,0,6.986614," ","integrate((d*x**2+c)**4*acoth(a*x),x)","\begin{cases} c^{4} x \operatorname{acoth}{\left(a x \right)} + \frac{4 c^{3} d x^{3} \operatorname{acoth}{\left(a x \right)}}{3} + \frac{6 c^{2} d^{2} x^{5} \operatorname{acoth}{\left(a x \right)}}{5} + \frac{4 c d^{3} x^{7} \operatorname{acoth}{\left(a x \right)}}{7} + \frac{d^{4} x^{9} \operatorname{acoth}{\left(a x \right)}}{9} + \frac{c^{4} \log{\left(x - \frac{1}{a} \right)}}{a} + \frac{c^{4} \operatorname{acoth}{\left(a x \right)}}{a} + \frac{2 c^{3} d x^{2}}{3 a} + \frac{3 c^{2} d^{2} x^{4}}{10 a} + \frac{2 c d^{3} x^{6}}{21 a} + \frac{d^{4} x^{8}}{72 a} + \frac{4 c^{3} d \log{\left(x - \frac{1}{a} \right)}}{3 a^{3}} + \frac{4 c^{3} d \operatorname{acoth}{\left(a x \right)}}{3 a^{3}} + \frac{3 c^{2} d^{2} x^{2}}{5 a^{3}} + \frac{c d^{3} x^{4}}{7 a^{3}} + \frac{d^{4} x^{6}}{54 a^{3}} + \frac{6 c^{2} d^{2} \log{\left(x - \frac{1}{a} \right)}}{5 a^{5}} + \frac{6 c^{2} d^{2} \operatorname{acoth}{\left(a x \right)}}{5 a^{5}} + \frac{2 c d^{3} x^{2}}{7 a^{5}} + \frac{d^{4} x^{4}}{36 a^{5}} + \frac{4 c d^{3} \log{\left(x - \frac{1}{a} \right)}}{7 a^{7}} + \frac{4 c d^{3} \operatorname{acoth}{\left(a x \right)}}{7 a^{7}} + \frac{d^{4} x^{2}}{18 a^{7}} + \frac{d^{4} \log{\left(x - \frac{1}{a} \right)}}{9 a^{9}} + \frac{d^{4} \operatorname{acoth}{\left(a x \right)}}{9 a^{9}} & \text{for}\: a \neq 0 \\\frac{i \pi \left(c^{4} x + \frac{4 c^{3} d x^{3}}{3} + \frac{6 c^{2} d^{2} x^{5}}{5} + \frac{4 c d^{3} x^{7}}{7} + \frac{d^{4} x^{9}}{9}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c**4*x*acoth(a*x) + 4*c**3*d*x**3*acoth(a*x)/3 + 6*c**2*d**2*x**5*acoth(a*x)/5 + 4*c*d**3*x**7*acoth(a*x)/7 + d**4*x**9*acoth(a*x)/9 + c**4*log(x - 1/a)/a + c**4*acoth(a*x)/a + 2*c**3*d*x**2/(3*a) + 3*c**2*d**2*x**4/(10*a) + 2*c*d**3*x**6/(21*a) + d**4*x**8/(72*a) + 4*c**3*d*log(x - 1/a)/(3*a**3) + 4*c**3*d*acoth(a*x)/(3*a**3) + 3*c**2*d**2*x**2/(5*a**3) + c*d**3*x**4/(7*a**3) + d**4*x**6/(54*a**3) + 6*c**2*d**2*log(x - 1/a)/(5*a**5) + 6*c**2*d**2*acoth(a*x)/(5*a**5) + 2*c*d**3*x**2/(7*a**5) + d**4*x**4/(36*a**5) + 4*c*d**3*log(x - 1/a)/(7*a**7) + 4*c*d**3*acoth(a*x)/(7*a**7) + d**4*x**2/(18*a**7) + d**4*log(x - 1/a)/(9*a**9) + d**4*acoth(a*x)/(9*a**9), Ne(a, 0)), (I*pi*(c**4*x + 4*c**3*d*x**3/3 + 6*c**2*d**2*x**5/5 + 4*c*d**3*x**7/7 + d**4*x**9/9)/2, True))","A",0
36,1,282,0,4.747685," ","integrate((d*x**2+c)**3*acoth(a*x),x)","\begin{cases} c^{3} x \operatorname{acoth}{\left(a x \right)} + c^{2} d x^{3} \operatorname{acoth}{\left(a x \right)} + \frac{3 c d^{2} x^{5} \operatorname{acoth}{\left(a x \right)}}{5} + \frac{d^{3} x^{7} \operatorname{acoth}{\left(a x \right)}}{7} + \frac{c^{3} \log{\left(x - \frac{1}{a} \right)}}{a} + \frac{c^{3} \operatorname{acoth}{\left(a x \right)}}{a} + \frac{c^{2} d x^{2}}{2 a} + \frac{3 c d^{2} x^{4}}{20 a} + \frac{d^{3} x^{6}}{42 a} + \frac{c^{2} d \log{\left(x - \frac{1}{a} \right)}}{a^{3}} + \frac{c^{2} d \operatorname{acoth}{\left(a x \right)}}{a^{3}} + \frac{3 c d^{2} x^{2}}{10 a^{3}} + \frac{d^{3} x^{4}}{28 a^{3}} + \frac{3 c d^{2} \log{\left(x - \frac{1}{a} \right)}}{5 a^{5}} + \frac{3 c d^{2} \operatorname{acoth}{\left(a x \right)}}{5 a^{5}} + \frac{d^{3} x^{2}}{14 a^{5}} + \frac{d^{3} \log{\left(x - \frac{1}{a} \right)}}{7 a^{7}} + \frac{d^{3} \operatorname{acoth}{\left(a x \right)}}{7 a^{7}} & \text{for}\: a \neq 0 \\\frac{i \pi \left(c^{3} x + c^{2} d x^{3} + \frac{3 c d^{2} x^{5}}{5} + \frac{d^{3} x^{7}}{7}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c**3*x*acoth(a*x) + c**2*d*x**3*acoth(a*x) + 3*c*d**2*x**5*acoth(a*x)/5 + d**3*x**7*acoth(a*x)/7 + c**3*log(x - 1/a)/a + c**3*acoth(a*x)/a + c**2*d*x**2/(2*a) + 3*c*d**2*x**4/(20*a) + d**3*x**6/(42*a) + c**2*d*log(x - 1/a)/a**3 + c**2*d*acoth(a*x)/a**3 + 3*c*d**2*x**2/(10*a**3) + d**3*x**4/(28*a**3) + 3*c*d**2*log(x - 1/a)/(5*a**5) + 3*c*d**2*acoth(a*x)/(5*a**5) + d**3*x**2/(14*a**5) + d**3*log(x - 1/a)/(7*a**7) + d**3*acoth(a*x)/(7*a**7), Ne(a, 0)), (I*pi*(c**3*x + c**2*d*x**3 + 3*c*d**2*x**5/5 + d**3*x**7/7)/2, True))","A",0
37,1,182,0,2.126935," ","integrate((d*x**2+c)**2*acoth(a*x),x)","\begin{cases} c^{2} x \operatorname{acoth}{\left(a x \right)} + \frac{2 c d x^{3} \operatorname{acoth}{\left(a x \right)}}{3} + \frac{d^{2} x^{5} \operatorname{acoth}{\left(a x \right)}}{5} + \frac{c^{2} \log{\left(x - \frac{1}{a} \right)}}{a} + \frac{c^{2} \operatorname{acoth}{\left(a x \right)}}{a} + \frac{c d x^{2}}{3 a} + \frac{d^{2} x^{4}}{20 a} + \frac{2 c d \log{\left(x - \frac{1}{a} \right)}}{3 a^{3}} + \frac{2 c d \operatorname{acoth}{\left(a x \right)}}{3 a^{3}} + \frac{d^{2} x^{2}}{10 a^{3}} + \frac{d^{2} \log{\left(x - \frac{1}{a} \right)}}{5 a^{5}} + \frac{d^{2} \operatorname{acoth}{\left(a x \right)}}{5 a^{5}} & \text{for}\: a \neq 0 \\\frac{i \pi \left(c^{2} x + \frac{2 c d x^{3}}{3} + \frac{d^{2} x^{5}}{5}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c**2*x*acoth(a*x) + 2*c*d*x**3*acoth(a*x)/3 + d**2*x**5*acoth(a*x)/5 + c**2*log(x - 1/a)/a + c**2*acoth(a*x)/a + c*d*x**2/(3*a) + d**2*x**4/(20*a) + 2*c*d*log(x - 1/a)/(3*a**3) + 2*c*d*acoth(a*x)/(3*a**3) + d**2*x**2/(10*a**3) + d**2*log(x - 1/a)/(5*a**5) + d**2*acoth(a*x)/(5*a**5), Ne(a, 0)), (I*pi*(c**2*x + 2*c*d*x**3/3 + d**2*x**5/5)/2, True))","A",0
38,1,87,0,1.063721," ","integrate((d*x**2+c)*acoth(a*x),x)","\begin{cases} c x \operatorname{acoth}{\left(a x \right)} + \frac{d x^{3} \operatorname{acoth}{\left(a x \right)}}{3} + \frac{c \log{\left(x - \frac{1}{a} \right)}}{a} + \frac{c \operatorname{acoth}{\left(a x \right)}}{a} + \frac{d x^{2}}{6 a} + \frac{d \log{\left(x - \frac{1}{a} \right)}}{3 a^{3}} + \frac{d \operatorname{acoth}{\left(a x \right)}}{3 a^{3}} & \text{for}\: a \neq 0 \\\frac{i \pi \left(c x + \frac{d x^{3}}{3}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c*x*acoth(a*x) + d*x**3*acoth(a*x)/3 + c*log(x - 1/a)/a + c*acoth(a*x)/a + d*x**2/(6*a) + d*log(x - 1/a)/(3*a**3) + d*acoth(a*x)/(3*a**3), Ne(a, 0)), (I*pi*(c*x + d*x**3/3)/2, True))","A",0
39,0,0,0,0.000000," ","integrate(acoth(a*x)/(d*x**2+c),x)","\int \frac{\operatorname{acoth}{\left(a x \right)}}{c + d x^{2}}\, dx"," ",0,"Integral(acoth(a*x)/(c + d*x**2), x)","F",0
40,0,0,0,0.000000," ","integrate(acoth(a*x)/(d*x**2+c)**2,x)","\int \frac{\operatorname{acoth}{\left(a x \right)}}{\left(c + d x^{2}\right)^{2}}\, dx"," ",0,"Integral(acoth(a*x)/(c + d*x**2)**2, x)","F",0
41,-1,0,0,0.000000," ","integrate(acoth(a*x)/(d*x**2+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,0,0,0,0.000000," ","integrate((d*x**2+c)**(1/2)*acoth(a*x),x)","\int \sqrt{c + d x^{2}} \operatorname{acoth}{\left(a x \right)}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*acoth(a*x), x)","F",0
43,0,0,0,0.000000," ","integrate(acoth(a*x)/(d*x**2+c)**(1/2),x)","\int \frac{\operatorname{acoth}{\left(a x \right)}}{\sqrt{c + d x^{2}}}\, dx"," ",0,"Integral(acoth(a*x)/sqrt(c + d*x**2), x)","F",0
44,0,0,0,0.000000," ","integrate(acoth(a*x)/(d*x**2+c)**(3/2),x)","\int \frac{\operatorname{acoth}{\left(a x \right)}}{\left(c + d x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(acoth(a*x)/(c + d*x**2)**(3/2), x)","F",0
45,0,0,0,0.000000," ","integrate(acoth(a*x)/(d*x**2+c)**(5/2),x)","\int \frac{\operatorname{acoth}{\left(a x \right)}}{\left(c + d x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(acoth(a*x)/(c + d*x**2)**(5/2), x)","F",0
46,0,0,0,0.000000," ","integrate(acoth(a*x)/(d*x**2+c)**(7/2),x)","\int \frac{\operatorname{acoth}{\left(a x \right)}}{\left(c + d x^{2}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(acoth(a*x)/(c + d*x**2)**(7/2), x)","F",0
47,0,0,0,0.000000," ","integrate(acoth(a*x)/(d*x**2+c)**(9/2),x)","\int \frac{\operatorname{acoth}{\left(a x \right)}}{\left(c + d x^{2}\right)^{\frac{9}{2}}}\, dx"," ",0,"Integral(acoth(a*x)/(c + d*x**2)**(9/2), x)","F",0
48,0,0,0,0.000000," ","integrate((-a*x**2+a)**(1/2)*acoth(x),x)","\int \sqrt{- a \left(x - 1\right) \left(x + 1\right)} \operatorname{acoth}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(-a*(x - 1)*(x + 1))*acoth(x), x)","F",0
49,0,0,0,0.000000," ","integrate(acoth(x)/(-a*x**2+a)**(1/2),x)","\int \frac{\operatorname{acoth}{\left(x \right)}}{\sqrt{- a \left(x - 1\right) \left(x + 1\right)}}\, dx"," ",0,"Integral(acoth(x)/sqrt(-a*(x - 1)*(x + 1)), x)","F",0
50,0,0,0,0.000000," ","integrate(acoth(x)/(-a*x**2+a)**(3/2),x)","\int \frac{\operatorname{acoth}{\left(x \right)}}{\left(- a \left(x - 1\right) \left(x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(acoth(x)/(-a*(x - 1)*(x + 1))**(3/2), x)","F",0
51,0,0,0,0.000000," ","integrate(acoth(x)/(-a*x**2+a)**(5/2),x)","\int \frac{\operatorname{acoth}{\left(x \right)}}{\left(- a \left(x - 1\right) \left(x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(acoth(x)/(-a*(x - 1)*(x + 1))**(5/2), x)","F",0
52,0,0,0,0.000000," ","integrate(acoth(x)/(-a*x**2+a)**(7/2),x)","\int \frac{\operatorname{acoth}{\left(x \right)}}{\left(- a \left(x - 1\right) \left(x + 1\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(acoth(x)/(-a*(x - 1)*(x + 1))**(7/2), x)","F",0
53,1,3,0,0.284418," ","integrate(1/(-x**2+1)/acoth(x),x)","\log{\left(\operatorname{acoth}{\left(x \right)} \right)}"," ",0,"log(acoth(x))","A",0
54,1,15,0,1.722070," ","integrate(acoth(x)**n/(-x**2+1),x)","\begin{cases} \frac{\operatorname{acoth}^{n + 1}{\left(x \right)}}{n + 1} & \text{for}\: n \neq -1 \\\log{\left(\operatorname{acoth}{\left(x \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((acoth(x)**(n + 1)/(n + 1), Ne(n, -1)), (log(acoth(x)), True))","A",0
55,0,0,0,0.000000," ","integrate(acoth(x)**2/(-x**2+1)**2,x)","\int \frac{\operatorname{acoth}^{2}{\left(x \right)}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral(acoth(x)**2/((x - 1)**2*(x + 1)**2), x)","F",0
56,0,0,0,0.000000," ","integrate(x*acoth(x)/(-x**2+1),x)","- \int \frac{x \operatorname{acoth}{\left(x \right)}}{x^{2} - 1}\, dx"," ",0,"-Integral(x*acoth(x)/(x**2 - 1), x)","F",0
57,1,5,0,0.701007," ","integrate(acoth(x)/(-x**2+1),x)","\frac{\operatorname{acoth}^{2}{\left(x \right)}}{2}"," ",0,"acoth(x)**2/2","A",0
58,1,31,0,0.557901," ","integrate(x*acoth(x)/(-x**2+1)**2,x)","- \frac{x^{2} \operatorname{acoth}{\left(x \right)}}{4 x^{2} - 4} + \frac{x}{4 x^{2} - 4} - \frac{\operatorname{acoth}{\left(x \right)}}{4 x^{2} - 4}"," ",0,"-x**2*acoth(x)/(4*x**2 - 4) + x/(4*x**2 - 4) - acoth(x)/(4*x**2 - 4)","A",0
59,0,0,0,0.000000," ","integrate(acoth(x)/(-x**2+1)**2,x)","\int \frac{\operatorname{acoth}{\left(x \right)}}{\left(x - 1\right)^{2} \left(x + 1\right)^{2}}\, dx"," ",0,"Integral(acoth(x)/((x - 1)**2*(x + 1)**2), x)","F",0
60,1,88,0,0.908273," ","integrate(x*acoth(x)/(-x**2+1)**3,x)","- \frac{3 x^{4} \operatorname{acoth}{\left(x \right)}}{32 x^{4} - 64 x^{2} + 32} + \frac{3 x^{3}}{32 x^{4} - 64 x^{2} + 32} + \frac{6 x^{2} \operatorname{acoth}{\left(x \right)}}{32 x^{4} - 64 x^{2} + 32} - \frac{5 x}{32 x^{4} - 64 x^{2} + 32} + \frac{5 \operatorname{acoth}{\left(x \right)}}{32 x^{4} - 64 x^{2} + 32}"," ",0,"-3*x**4*acoth(x)/(32*x**4 - 64*x**2 + 32) + 3*x**3/(32*x**4 - 64*x**2 + 32) + 6*x**2*acoth(x)/(32*x**4 - 64*x**2 + 32) - 5*x/(32*x**4 - 64*x**2 + 32) + 5*acoth(x)/(32*x**4 - 64*x**2 + 32)","B",0
61,0,0,0,0.000000," ","integrate(acoth(x)/(-x**2+1)**3,x)","- \int \frac{\operatorname{acoth}{\left(x \right)}}{x^{6} - 3 x^{4} + 3 x^{2} - 1}\, dx"," ",0,"-Integral(acoth(x)/(x**6 - 3*x**4 + 3*x**2 - 1), x)","F",0
62,1,153,0,1.840910," ","integrate(x**3*acoth(b*x+a),x)","\begin{cases} - \frac{a^{4} \operatorname{acoth}{\left(a + b x \right)}}{4 b^{4}} - \frac{a^{3} \log{\left(a + b x + 1 \right)}}{b^{4}} + \frac{a^{3} \operatorname{acoth}{\left(a + b x \right)}}{b^{4}} + \frac{3 a^{2} x}{4 b^{3}} - \frac{3 a^{2} \operatorname{acoth}{\left(a + b x \right)}}{2 b^{4}} - \frac{a x^{2}}{4 b^{2}} - \frac{a \log{\left(a + b x + 1 \right)}}{b^{4}} + \frac{a \operatorname{acoth}{\left(a + b x \right)}}{b^{4}} + \frac{x^{4} \operatorname{acoth}{\left(a + b x \right)}}{4} + \frac{x^{3}}{12 b} + \frac{x}{4 b^{3}} - \frac{\operatorname{acoth}{\left(a + b x \right)}}{4 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{acoth}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**4*acoth(a + b*x)/(4*b**4) - a**3*log(a + b*x + 1)/b**4 + a**3*acoth(a + b*x)/b**4 + 3*a**2*x/(4*b**3) - 3*a**2*acoth(a + b*x)/(2*b**4) - a*x**2/(4*b**2) - a*log(a + b*x + 1)/b**4 + a*acoth(a + b*x)/b**4 + x**4*acoth(a + b*x)/4 + x**3/(12*b) + x/(4*b**3) - acoth(a + b*x)/(4*b**4), Ne(b, 0)), (x**4*acoth(a)/4, True))","A",0
63,1,117,0,1.270126," ","integrate(x**2*acoth(b*x+a),x)","\begin{cases} \frac{a^{3} \operatorname{acoth}{\left(a + b x \right)}}{3 b^{3}} + \frac{a^{2} \log{\left(a + b x + 1 \right)}}{b^{3}} - \frac{a^{2} \operatorname{acoth}{\left(a + b x \right)}}{b^{3}} - \frac{2 a x}{3 b^{2}} + \frac{a \operatorname{acoth}{\left(a + b x \right)}}{b^{3}} + \frac{x^{3} \operatorname{acoth}{\left(a + b x \right)}}{3} + \frac{x^{2}}{6 b} + \frac{\log{\left(a + b x + 1 \right)}}{3 b^{3}} - \frac{\operatorname{acoth}{\left(a + b x \right)}}{3 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \operatorname{acoth}{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*acoth(a + b*x)/(3*b**3) + a**2*log(a + b*x + 1)/b**3 - a**2*acoth(a + b*x)/b**3 - 2*a*x/(3*b**2) + a*acoth(a + b*x)/b**3 + x**3*acoth(a + b*x)/3 + x**2/(6*b) + log(a + b*x + 1)/(3*b**3) - acoth(a + b*x)/(3*b**3), Ne(b, 0)), (x**3*acoth(a)/3, True))","A",0
64,1,76,0,0.814181," ","integrate(x*acoth(b*x+a),x)","\begin{cases} - \frac{a^{2} \operatorname{acoth}{\left(a + b x \right)}}{2 b^{2}} - \frac{a \log{\left(a + b x + 1 \right)}}{b^{2}} + \frac{a \operatorname{acoth}{\left(a + b x \right)}}{b^{2}} + \frac{x^{2} \operatorname{acoth}{\left(a + b x \right)}}{2} + \frac{x}{2 b} - \frac{\operatorname{acoth}{\left(a + b x \right)}}{2 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \operatorname{acoth}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*acoth(a + b*x)/(2*b**2) - a*log(a + b*x + 1)/b**2 + a*acoth(a + b*x)/b**2 + x**2*acoth(a + b*x)/2 + x/(2*b) - acoth(a + b*x)/(2*b**2), Ne(b, 0)), (x**2*acoth(a)/2, True))","A",0
65,1,41,0,0.513366," ","integrate(acoth(b*x+a),x)","\begin{cases} \frac{a \operatorname{acoth}{\left(a + b x \right)}}{b} + x \operatorname{acoth}{\left(a + b x \right)} + \frac{\log{\left(a + b x + 1 \right)}}{b} - \frac{\operatorname{acoth}{\left(a + b x \right)}}{b} & \text{for}\: b \neq 0 \\x \operatorname{acoth}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*acoth(a + b*x)/b + x*acoth(a + b*x) + log(a + b*x + 1)/b - acoth(a + b*x)/b, Ne(b, 0)), (x*acoth(a), True))","A",0
66,0,0,0,0.000000," ","integrate(acoth(b*x+a)/x,x)","\int \frac{\operatorname{acoth}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(acoth(a + b*x)/x, x)","F",0
67,1,144,0,1.482189," ","integrate(acoth(b*x+a)/x**2,x)","\begin{cases} \frac{b \operatorname{acoth}{\left(b x - 1 \right)}}{2} - \frac{\operatorname{acoth}{\left(b x - 1 \right)}}{x} - \frac{1}{2 x} & \text{for}\: a = -1 \\- \frac{b \operatorname{acoth}{\left(b x + 1 \right)}}{2} - \frac{\operatorname{acoth}{\left(b x + 1 \right)}}{x} + \frac{1}{2 x} & \text{for}\: a = 1 \\- \frac{a^{2} \operatorname{acoth}{\left(a + b x \right)}}{a^{2} x - x} - \frac{a b x \operatorname{acoth}{\left(a + b x \right)}}{a^{2} x - x} - \frac{b x \log{\left(x \right)}}{a^{2} x - x} + \frac{b x \log{\left(a + b x + 1 \right)}}{a^{2} x - x} - \frac{b x \operatorname{acoth}{\left(a + b x \right)}}{a^{2} x - x} + \frac{\operatorname{acoth}{\left(a + b x \right)}}{a^{2} x - x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*acoth(b*x - 1)/2 - acoth(b*x - 1)/x - 1/(2*x), Eq(a, -1)), (-b*acoth(b*x + 1)/2 - acoth(b*x + 1)/x + 1/(2*x), Eq(a, 1)), (-a**2*acoth(a + b*x)/(a**2*x - x) - a*b*x*acoth(a + b*x)/(a**2*x - x) - b*x*log(x)/(a**2*x - x) + b*x*log(a + b*x + 1)/(a**2*x - x) - b*x*acoth(a + b*x)/(a**2*x - x) + acoth(a + b*x)/(a**2*x - x), True))","A",0
68,1,410,0,2.430233," ","integrate(acoth(b*x+a)/x**3,x)","\begin{cases} \frac{b^{2} \operatorname{acoth}{\left(b x - 1 \right)}}{8} - \frac{b}{8 x} - \frac{\operatorname{acoth}{\left(b x - 1 \right)}}{2 x^{2}} - \frac{1}{8 x^{2}} & \text{for}\: a = -1 \\\frac{b^{2} \operatorname{acoth}{\left(b x + 1 \right)}}{8} - \frac{b}{8 x} - \frac{\operatorname{acoth}{\left(b x + 1 \right)}}{2 x^{2}} + \frac{1}{8 x^{2}} & \text{for}\: a = 1 \\- \frac{a^{4} \operatorname{acoth}{\left(a + b x \right)}}{2 a^{4} x^{2} - 4 a^{2} x^{2} + 2 x^{2}} + \frac{a^{2} b^{2} x^{2} \operatorname{acoth}{\left(a + b x \right)}}{2 a^{4} x^{2} - 4 a^{2} x^{2} + 2 x^{2}} + \frac{a^{2} b x}{2 a^{4} x^{2} - 4 a^{2} x^{2} + 2 x^{2}} + \frac{2 a^{2} \operatorname{acoth}{\left(a + b x \right)}}{2 a^{4} x^{2} - 4 a^{2} x^{2} + 2 x^{2}} + \frac{2 a b^{2} x^{2} \log{\left(x \right)}}{2 a^{4} x^{2} - 4 a^{2} x^{2} + 2 x^{2}} - \frac{2 a b^{2} x^{2} \log{\left(a + b x + 1 \right)}}{2 a^{4} x^{2} - 4 a^{2} x^{2} + 2 x^{2}} + \frac{2 a b^{2} x^{2} \operatorname{acoth}{\left(a + b x \right)}}{2 a^{4} x^{2} - 4 a^{2} x^{2} + 2 x^{2}} + \frac{b^{2} x^{2} \operatorname{acoth}{\left(a + b x \right)}}{2 a^{4} x^{2} - 4 a^{2} x^{2} + 2 x^{2}} - \frac{b x}{2 a^{4} x^{2} - 4 a^{2} x^{2} + 2 x^{2}} - \frac{\operatorname{acoth}{\left(a + b x \right)}}{2 a^{4} x^{2} - 4 a^{2} x^{2} + 2 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b**2*acoth(b*x - 1)/8 - b/(8*x) - acoth(b*x - 1)/(2*x**2) - 1/(8*x**2), Eq(a, -1)), (b**2*acoth(b*x + 1)/8 - b/(8*x) - acoth(b*x + 1)/(2*x**2) + 1/(8*x**2), Eq(a, 1)), (-a**4*acoth(a + b*x)/(2*a**4*x**2 - 4*a**2*x**2 + 2*x**2) + a**2*b**2*x**2*acoth(a + b*x)/(2*a**4*x**2 - 4*a**2*x**2 + 2*x**2) + a**2*b*x/(2*a**4*x**2 - 4*a**2*x**2 + 2*x**2) + 2*a**2*acoth(a + b*x)/(2*a**4*x**2 - 4*a**2*x**2 + 2*x**2) + 2*a*b**2*x**2*log(x)/(2*a**4*x**2 - 4*a**2*x**2 + 2*x**2) - 2*a*b**2*x**2*log(a + b*x + 1)/(2*a**4*x**2 - 4*a**2*x**2 + 2*x**2) + 2*a*b**2*x**2*acoth(a + b*x)/(2*a**4*x**2 - 4*a**2*x**2 + 2*x**2) + b**2*x**2*acoth(a + b*x)/(2*a**4*x**2 - 4*a**2*x**2 + 2*x**2) - b*x/(2*a**4*x**2 - 4*a**2*x**2 + 2*x**2) - acoth(a + b*x)/(2*a**4*x**2 - 4*a**2*x**2 + 2*x**2), True))","A",0
69,0,0,0,0.000000," ","integrate(x**3*acoth(b*x+a)**2,x)","\int x^{3} \operatorname{acoth}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*acoth(a + b*x)**2, x)","F",0
70,0,0,0,0.000000," ","integrate(x**2*acoth(b*x+a)**2,x)","\int x^{2} \operatorname{acoth}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*acoth(a + b*x)**2, x)","F",0
71,0,0,0,0.000000," ","integrate(x*acoth(b*x+a)**2,x)","\int x \operatorname{acoth}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*acoth(a + b*x)**2, x)","F",0
72,0,0,0,0.000000," ","integrate(acoth(b*x+a)**2,x)","\int \operatorname{acoth}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(acoth(a + b*x)**2, x)","F",0
73,0,0,0,0.000000," ","integrate(acoth(b*x+a)**2/x,x)","\int \frac{\operatorname{acoth}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(acoth(a + b*x)**2/x, x)","F",0
74,0,0,0,0.000000," ","integrate(acoth(b*x+a)**2/x**2,x)","\int \frac{\operatorname{acoth}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(acoth(a + b*x)**2/x**2, x)","F",0
75,0,0,0,0.000000," ","integrate(acoth(b*x+a)**2/x**3,x)","\int \frac{\operatorname{acoth}^{2}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(acoth(a + b*x)**2/x**3, x)","F",0
76,-1,0,0,0.000000," ","integrate(acoth(b*x+a)/(d*x**2+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
77,0,0,0,0.000000," ","integrate(acoth(b*x+a)/(d*x+c),x)","\int \frac{\operatorname{acoth}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(acoth(a + b*x)/(c + d*x), x)","F",0
78,0,0,0,0.000000," ","integrate(acoth(b*x+a)/(c+d/x),x)","\int \frac{x \operatorname{acoth}{\left(a + b x \right)}}{c x + d}\, dx"," ",0,"Integral(x*acoth(a + b*x)/(c*x + d), x)","F",0
79,-1,0,0,0.000000," ","integrate(acoth(b*x+a)/(c+d/x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,-1,0,0,0.000000," ","integrate(acoth(b*x+a)/(c+d*x**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate(acoth(b*x+a)/(c+d/x**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,-1,0,0,0.000000," ","integrate(acoth(e*x+d)/(c*x**2+b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,0,0,0,0.000000," ","integrate(x**2*acoth(x**(1/2)),x)","\int x^{2} \operatorname{acoth}{\left(\sqrt{x} \right)}\, dx"," ",0,"Integral(x**2*acoth(sqrt(x)), x)","F",0
84,0,0,0,0.000000," ","integrate(x*acoth(x**(1/2)),x)","\int x \operatorname{acoth}{\left(\sqrt{x} \right)}\, dx"," ",0,"Integral(x*acoth(sqrt(x)), x)","F",0
85,0,0,0,0.000000," ","integrate(acoth(x**(1/2)),x)","\int \operatorname{acoth}{\left(\sqrt{x} \right)}\, dx"," ",0,"Integral(acoth(sqrt(x)), x)","F",0
86,0,0,0,0.000000," ","integrate(acoth(x**(1/2))/x,x)","\int \frac{\operatorname{acoth}{\left(\sqrt{x} \right)}}{x}\, dx"," ",0,"Integral(acoth(sqrt(x))/x, x)","F",0
87,1,92,0,2.118494," ","integrate(acoth(x**(1/2))/x**2,x)","\frac{x^{\frac{5}{2}} \operatorname{acoth}{\left(\sqrt{x} \right)}}{x^{\frac{5}{2}} - x^{\frac{3}{2}}} - \frac{2 x^{\frac{3}{2}} \operatorname{acoth}{\left(\sqrt{x} \right)}}{x^{\frac{5}{2}} - x^{\frac{3}{2}}} + \frac{\sqrt{x} \operatorname{acoth}{\left(\sqrt{x} \right)}}{x^{\frac{5}{2}} - x^{\frac{3}{2}}} - \frac{x^{2}}{x^{\frac{5}{2}} - x^{\frac{3}{2}}} + \frac{x}{x^{\frac{5}{2}} - x^{\frac{3}{2}}}"," ",0,"x**(5/2)*acoth(sqrt(x))/(x**(5/2) - x**(3/2)) - 2*x**(3/2)*acoth(sqrt(x))/(x**(5/2) - x**(3/2)) + sqrt(x)*acoth(sqrt(x))/(x**(5/2) - x**(3/2)) - x**2/(x**(5/2) - x**(3/2)) + x/(x**(5/2) - x**(3/2))","B",0
88,1,160,0,5.449587," ","integrate(acoth(x**(1/2))/x**3,x)","\frac{3 x^{\frac{7}{2}} \operatorname{acoth}{\left(\sqrt{x} \right)}}{6 x^{\frac{7}{2}} - 6 x^{\frac{5}{2}}} - \frac{3 x^{\frac{5}{2}} \operatorname{acoth}{\left(\sqrt{x} \right)}}{6 x^{\frac{7}{2}} - 6 x^{\frac{5}{2}}} - \frac{3 x^{\frac{3}{2}} \operatorname{acoth}{\left(\sqrt{x} \right)}}{6 x^{\frac{7}{2}} - 6 x^{\frac{5}{2}}} + \frac{3 \sqrt{x} \operatorname{acoth}{\left(\sqrt{x} \right)}}{6 x^{\frac{7}{2}} - 6 x^{\frac{5}{2}}} - \frac{3 x^{3}}{6 x^{\frac{7}{2}} - 6 x^{\frac{5}{2}}} + \frac{2 x^{2}}{6 x^{\frac{7}{2}} - 6 x^{\frac{5}{2}}} + \frac{x}{6 x^{\frac{7}{2}} - 6 x^{\frac{5}{2}}}"," ",0,"3*x**(7/2)*acoth(sqrt(x))/(6*x**(7/2) - 6*x**(5/2)) - 3*x**(5/2)*acoth(sqrt(x))/(6*x**(7/2) - 6*x**(5/2)) - 3*x**(3/2)*acoth(sqrt(x))/(6*x**(7/2) - 6*x**(5/2)) + 3*sqrt(x)*acoth(sqrt(x))/(6*x**(7/2) - 6*x**(5/2)) - 3*x**3/(6*x**(7/2) - 6*x**(5/2)) + 2*x**2/(6*x**(7/2) - 6*x**(5/2)) + x/(6*x**(7/2) - 6*x**(5/2))","B",0
89,1,121,0,5.351692," ","integrate(x**(3/2)*acoth(x**(1/2)),x)","\frac{4 x^{\frac{7}{2}} \operatorname{acoth}{\left(\sqrt{x} \right)}}{10 x - 10} - \frac{4 x^{\frac{5}{2}} \operatorname{acoth}{\left(\sqrt{x} \right)}}{10 x - 10} + \frac{x^{3}}{10 x - 10} + \frac{x^{2}}{10 x - 10} + \frac{4 x \log{\left(\sqrt{x} + 1 \right)}}{10 x - 10} - \frac{4 x \operatorname{acoth}{\left(\sqrt{x} \right)}}{10 x - 10} - \frac{4 \log{\left(\sqrt{x} + 1 \right)}}{10 x - 10} + \frac{4 \operatorname{acoth}{\left(\sqrt{x} \right)}}{10 x - 10} - \frac{2}{10 x - 10}"," ",0,"4*x**(7/2)*acoth(sqrt(x))/(10*x - 10) - 4*x**(5/2)*acoth(sqrt(x))/(10*x - 10) + x**3/(10*x - 10) + x**2/(10*x - 10) + 4*x*log(sqrt(x) + 1)/(10*x - 10) - 4*x*acoth(sqrt(x))/(10*x - 10) - 4*log(sqrt(x) + 1)/(10*x - 10) + 4*acoth(sqrt(x))/(10*x - 10) - 2/(10*x - 10)","B",0
90,1,39,0,1.069103," ","integrate(acoth(x**(1/2))*x**(1/2),x)","\frac{2 x^{\frac{3}{2}} \operatorname{acoth}{\left(\sqrt{x} \right)}}{3} + \frac{x}{3} + \frac{2 \log{\left(\sqrt{x} + 1 \right)}}{3} - \frac{2 \operatorname{acoth}{\left(\sqrt{x} \right)}}{3}"," ",0,"2*x**(3/2)*acoth(sqrt(x))/3 + x/3 + 2*log(sqrt(x) + 1)/3 - 2*acoth(sqrt(x))/3","A",0
91,1,87,0,0.535177," ","integrate(acoth(x**(1/2))/x**(1/2),x)","\frac{2 x^{\frac{3}{2}} \operatorname{acoth}{\left(\sqrt{x} \right)}}{x - 1} - \frac{2 \sqrt{x} \operatorname{acoth}{\left(\sqrt{x} \right)}}{x - 1} + \frac{2 x \log{\left(\sqrt{x} + 1 \right)}}{x - 1} - \frac{2 x \operatorname{acoth}{\left(\sqrt{x} \right)}}{x - 1} - \frac{2 \log{\left(\sqrt{x} + 1 \right)}}{x - 1} + \frac{2 \operatorname{acoth}{\left(\sqrt{x} \right)}}{x - 1}"," ",0,"2*x**(3/2)*acoth(sqrt(x))/(x - 1) - 2*sqrt(x)*acoth(sqrt(x))/(x - 1) + 2*x*log(sqrt(x) + 1)/(x - 1) - 2*x*acoth(sqrt(x))/(x - 1) - 2*log(sqrt(x) + 1)/(x - 1) + 2*acoth(sqrt(x))/(x - 1)","B",0
92,1,126,0,1.376257," ","integrate(acoth(x**(1/2))/x**(3/2),x)","- \frac{2 x^{\frac{3}{2}} \operatorname{acoth}{\left(\sqrt{x} \right)}}{x^{2} - x} + \frac{2 \sqrt{x} \operatorname{acoth}{\left(\sqrt{x} \right)}}{x^{2} - x} + \frac{x^{2} \log{\left(x \right)}}{x^{2} - x} - \frac{2 x^{2} \log{\left(\sqrt{x} + 1 \right)}}{x^{2} - x} + \frac{2 x^{2} \operatorname{acoth}{\left(\sqrt{x} \right)}}{x^{2} - x} - \frac{x \log{\left(x \right)}}{x^{2} - x} + \frac{2 x \log{\left(\sqrt{x} + 1 \right)}}{x^{2} - x} - \frac{2 x \operatorname{acoth}{\left(\sqrt{x} \right)}}{x^{2} - x}"," ",0,"-2*x**(3/2)*acoth(sqrt(x))/(x**2 - x) + 2*sqrt(x)*acoth(sqrt(x))/(x**2 - x) + x**2*log(x)/(x**2 - x) - 2*x**2*log(sqrt(x) + 1)/(x**2 - x) + 2*x**2*acoth(sqrt(x))/(x**2 - x) - x*log(x)/(x**2 - x) + 2*x*log(sqrt(x) + 1)/(x**2 - x) - 2*x*acoth(sqrt(x))/(x**2 - x)","B",0
93,-1,0,0,0.000000," ","integrate(acoth(a*x**5)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,1,15,0,0.198169," ","integrate(acoth(1/x),x)","x \operatorname{acoth}{\left(\frac{1}{x} \right)} + \log{\left(x + 1 \right)} - \operatorname{acoth}{\left(\frac{1}{x} \right)}"," ",0,"x*acoth(1/x) + log(x + 1) - acoth(1/x)","A",0
95,0,0,0,0.000000," ","integrate(acoth(a*x**n)/x,x)","\int \frac{\operatorname{acoth}{\left(a x^{n} \right)}}{x}\, dx"," ",0,"Integral(acoth(a*x**n)/x, x)","F",0
96,1,56,0,0.784856," ","integrate((b*x+a)*acoth(b*x+a),x)","\begin{cases} \frac{a^{2} \operatorname{acoth}{\left(a + b x \right)}}{2 b} + a x \operatorname{acoth}{\left(a + b x \right)} + \frac{b x^{2} \operatorname{acoth}{\left(a + b x \right)}}{2} + \frac{x}{2} - \frac{\operatorname{acoth}{\left(a + b x \right)}}{2 b} & \text{for}\: b \neq 0 \\a x \operatorname{acoth}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*acoth(a + b*x)/(2*b) + a*x*acoth(a + b*x) + b*x**2*acoth(a + b*x)/2 + x/2 - acoth(a + b*x)/(2*b), Ne(b, 0)), (a*x*acoth(a), True))","A",0
97,1,97,0,1.223501," ","integrate((b*x+a)**2*acoth(b*x+a),x)","\begin{cases} \frac{a^{3} \operatorname{acoth}{\left(a + b x \right)}}{3 b} + a^{2} x \operatorname{acoth}{\left(a + b x \right)} + a b x^{2} \operatorname{acoth}{\left(a + b x \right)} + \frac{a x}{3} + \frac{b^{2} x^{3} \operatorname{acoth}{\left(a + b x \right)}}{3} + \frac{b x^{2}}{6} + \frac{\log{\left(\frac{a}{b} + x + \frac{1}{b} \right)}}{3 b} - \frac{\operatorname{acoth}{\left(a + b x \right)}}{3 b} & \text{for}\: b \neq 0 \\a^{2} x \operatorname{acoth}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*acoth(a + b*x)/(3*b) + a**2*x*acoth(a + b*x) + a*b*x**2*acoth(a + b*x) + a*x/3 + b**2*x**3*acoth(a + b*x)/3 + b*x**2/6 + log(a/b + x + 1/b)/(3*b) - acoth(a + b*x)/(3*b), Ne(b, 0)), (a**2*x*acoth(a), True))","A",0
98,0,0,0,0.000000," ","integrate(acoth(b*x+a)/(b*x+a),x)","\int \frac{\operatorname{acoth}{\left(a + b x \right)}}{a + b x}\, dx"," ",0,"Integral(acoth(a + b*x)/(a + b*x), x)","F",0
99,1,136,0,1.400397," ","integrate(acoth(b*x+a)/(b*x+a)**2,x)","\begin{cases} \frac{a \log{\left(\frac{a}{b} + x \right)}}{a b + b^{2} x} - \frac{a \log{\left(\frac{a}{b} + x + \frac{1}{b} \right)}}{a b + b^{2} x} + \frac{a \operatorname{acoth}{\left(a + b x \right)}}{a b + b^{2} x} + \frac{b x \log{\left(\frac{a}{b} + x \right)}}{a b + b^{2} x} - \frac{b x \log{\left(\frac{a}{b} + x + \frac{1}{b} \right)}}{a b + b^{2} x} + \frac{b x \operatorname{acoth}{\left(a + b x \right)}}{a b + b^{2} x} - \frac{\operatorname{acoth}{\left(a + b x \right)}}{a b + b^{2} x} & \text{for}\: b \neq 0 \\\frac{x \operatorname{acoth}{\left(a \right)}}{a^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*log(a/b + x)/(a*b + b**2*x) - a*log(a/b + x + 1/b)/(a*b + b**2*x) + a*acoth(a + b*x)/(a*b + b**2*x) + b*x*log(a/b + x)/(a*b + b**2*x) - b*x*log(a/b + x + 1/b)/(a*b + b**2*x) + b*x*acoth(a + b*x)/(a*b + b**2*x) - acoth(a + b*x)/(a*b + b**2*x), Ne(b, 0)), (x*acoth(a)/a**2, True))","A",0
100,0,0,0,0.000000," ","integrate(acoth(1+x)/(2+2*x),x)","\frac{\int \frac{\operatorname{acoth}{\left(x + 1 \right)}}{x + 1}\, dx}{2}"," ",0,"Integral(acoth(x + 1)/(x + 1), x)/2","F",0
101,0,0,0,0.000000," ","integrate(acoth(b*x+a)/(a*d/b+d*x),x)","\frac{b \int \frac{\operatorname{acoth}{\left(a + b x \right)}}{a + b x}\, dx}{d}"," ",0,"b*Integral(acoth(a + b*x)/(a + b*x), x)/d","F",0
102,1,644,0,7.456430," ","integrate((f*x+e)**3*(a+b*acoth(d*x+c)),x)","\begin{cases} a e^{3} x + \frac{3 a e^{2} f x^{2}}{2} + a e f^{2} x^{3} + \frac{a f^{3} x^{4}}{4} - \frac{b c^{4} f^{3} \operatorname{acoth}{\left(c + d x \right)}}{4 d^{4}} + \frac{b c^{3} e f^{2} \operatorname{acoth}{\left(c + d x \right)}}{d^{3}} - \frac{b c^{3} f^{3} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{4}} + \frac{b c^{3} f^{3} \operatorname{acoth}{\left(c + d x \right)}}{d^{4}} - \frac{3 b c^{2} e^{2} f \operatorname{acoth}{\left(c + d x \right)}}{2 d^{2}} + \frac{3 b c^{2} e f^{2} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{3}} - \frac{3 b c^{2} e f^{2} \operatorname{acoth}{\left(c + d x \right)}}{d^{3}} + \frac{3 b c^{2} f^{3} x}{4 d^{3}} - \frac{3 b c^{2} f^{3} \operatorname{acoth}{\left(c + d x \right)}}{2 d^{4}} + \frac{b c e^{3} \operatorname{acoth}{\left(c + d x \right)}}{d} - \frac{3 b c e^{2} f \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{2}} + \frac{3 b c e^{2} f \operatorname{acoth}{\left(c + d x \right)}}{d^{2}} - \frac{2 b c e f^{2} x}{d^{2}} - \frac{b c f^{3} x^{2}}{4 d^{2}} + \frac{3 b c e f^{2} \operatorname{acoth}{\left(c + d x \right)}}{d^{3}} - \frac{b c f^{3} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{4}} + \frac{b c f^{3} \operatorname{acoth}{\left(c + d x \right)}}{d^{4}} + b e^{3} x \operatorname{acoth}{\left(c + d x \right)} + \frac{3 b e^{2} f x^{2} \operatorname{acoth}{\left(c + d x \right)}}{2} + b e f^{2} x^{3} \operatorname{acoth}{\left(c + d x \right)} + \frac{b f^{3} x^{4} \operatorname{acoth}{\left(c + d x \right)}}{4} + \frac{b e^{3} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d} - \frac{b e^{3} \operatorname{acoth}{\left(c + d x \right)}}{d} + \frac{3 b e^{2} f x}{2 d} + \frac{b e f^{2} x^{2}}{2 d} + \frac{b f^{3} x^{3}}{12 d} - \frac{3 b e^{2} f \operatorname{acoth}{\left(c + d x \right)}}{2 d^{2}} + \frac{b e f^{2} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{3}} - \frac{b e f^{2} \operatorname{acoth}{\left(c + d x \right)}}{d^{3}} + \frac{b f^{3} x}{4 d^{3}} - \frac{b f^{3} \operatorname{acoth}{\left(c + d x \right)}}{4 d^{4}} & \text{for}\: d \neq 0 \\\left(a + b \operatorname{acoth}{\left(c \right)}\right) \left(e^{3} x + \frac{3 e^{2} f x^{2}}{2} + e f^{2} x^{3} + \frac{f^{3} x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*e**3*x + 3*a*e**2*f*x**2/2 + a*e*f**2*x**3 + a*f**3*x**4/4 - b*c**4*f**3*acoth(c + d*x)/(4*d**4) + b*c**3*e*f**2*acoth(c + d*x)/d**3 - b*c**3*f**3*log(c/d + x + 1/d)/d**4 + b*c**3*f**3*acoth(c + d*x)/d**4 - 3*b*c**2*e**2*f*acoth(c + d*x)/(2*d**2) + 3*b*c**2*e*f**2*log(c/d + x + 1/d)/d**3 - 3*b*c**2*e*f**2*acoth(c + d*x)/d**3 + 3*b*c**2*f**3*x/(4*d**3) - 3*b*c**2*f**3*acoth(c + d*x)/(2*d**4) + b*c*e**3*acoth(c + d*x)/d - 3*b*c*e**2*f*log(c/d + x + 1/d)/d**2 + 3*b*c*e**2*f*acoth(c + d*x)/d**2 - 2*b*c*e*f**2*x/d**2 - b*c*f**3*x**2/(4*d**2) + 3*b*c*e*f**2*acoth(c + d*x)/d**3 - b*c*f**3*log(c/d + x + 1/d)/d**4 + b*c*f**3*acoth(c + d*x)/d**4 + b*e**3*x*acoth(c + d*x) + 3*b*e**2*f*x**2*acoth(c + d*x)/2 + b*e*f**2*x**3*acoth(c + d*x) + b*f**3*x**4*acoth(c + d*x)/4 + b*e**3*log(c/d + x + 1/d)/d - b*e**3*acoth(c + d*x)/d + 3*b*e**2*f*x/(2*d) + b*e*f**2*x**2/(2*d) + b*f**3*x**3/(12*d) - 3*b*e**2*f*acoth(c + d*x)/(2*d**2) + b*e*f**2*log(c/d + x + 1/d)/d**3 - b*e*f**2*acoth(c + d*x)/d**3 + b*f**3*x/(4*d**3) - b*f**3*acoth(c + d*x)/(4*d**4), Ne(d, 0)), ((a + b*acoth(c))*(e**3*x + 3*e**2*f*x**2/2 + e*f**2*x**3 + f**3*x**4/4), True))","A",0
103,1,369,0,4.448673," ","integrate((f*x+e)**2*(a+b*acoth(d*x+c)),x)","\begin{cases} a e^{2} x + a e f x^{2} + \frac{a f^{2} x^{3}}{3} + \frac{b c^{3} f^{2} \operatorname{acoth}{\left(c + d x \right)}}{3 d^{3}} - \frac{b c^{2} e f \operatorname{acoth}{\left(c + d x \right)}}{d^{2}} + \frac{b c^{2} f^{2} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{3}} - \frac{b c^{2} f^{2} \operatorname{acoth}{\left(c + d x \right)}}{d^{3}} + \frac{b c e^{2} \operatorname{acoth}{\left(c + d x \right)}}{d} - \frac{2 b c e f \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{2}} + \frac{2 b c e f \operatorname{acoth}{\left(c + d x \right)}}{d^{2}} - \frac{2 b c f^{2} x}{3 d^{2}} + \frac{b c f^{2} \operatorname{acoth}{\left(c + d x \right)}}{d^{3}} + b e^{2} x \operatorname{acoth}{\left(c + d x \right)} + b e f x^{2} \operatorname{acoth}{\left(c + d x \right)} + \frac{b f^{2} x^{3} \operatorname{acoth}{\left(c + d x \right)}}{3} + \frac{b e^{2} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d} - \frac{b e^{2} \operatorname{acoth}{\left(c + d x \right)}}{d} + \frac{b e f x}{d} + \frac{b f^{2} x^{2}}{6 d} - \frac{b e f \operatorname{acoth}{\left(c + d x \right)}}{d^{2}} + \frac{b f^{2} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{3 d^{3}} - \frac{b f^{2} \operatorname{acoth}{\left(c + d x \right)}}{3 d^{3}} & \text{for}\: d \neq 0 \\\left(a + b \operatorname{acoth}{\left(c \right)}\right) \left(e^{2} x + e f x^{2} + \frac{f^{2} x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*e**2*x + a*e*f*x**2 + a*f**2*x**3/3 + b*c**3*f**2*acoth(c + d*x)/(3*d**3) - b*c**2*e*f*acoth(c + d*x)/d**2 + b*c**2*f**2*log(c/d + x + 1/d)/d**3 - b*c**2*f**2*acoth(c + d*x)/d**3 + b*c*e**2*acoth(c + d*x)/d - 2*b*c*e*f*log(c/d + x + 1/d)/d**2 + 2*b*c*e*f*acoth(c + d*x)/d**2 - 2*b*c*f**2*x/(3*d**2) + b*c*f**2*acoth(c + d*x)/d**3 + b*e**2*x*acoth(c + d*x) + b*e*f*x**2*acoth(c + d*x) + b*f**2*x**3*acoth(c + d*x)/3 + b*e**2*log(c/d + x + 1/d)/d - b*e**2*acoth(c + d*x)/d + b*e*f*x/d + b*f**2*x**2/(6*d) - b*e*f*acoth(c + d*x)/d**2 + b*f**2*log(c/d + x + 1/d)/(3*d**3) - b*f**2*acoth(c + d*x)/(3*d**3), Ne(d, 0)), ((a + b*acoth(c))*(e**2*x + e*f*x**2 + f**2*x**3/3), True))","A",0
104,1,173,0,2.265352," ","integrate((f*x+e)*(a+b*acoth(d*x+c)),x)","\begin{cases} a e x + \frac{a f x^{2}}{2} - \frac{b c^{2} f \operatorname{acoth}{\left(c + d x \right)}}{2 d^{2}} + \frac{b c e \operatorname{acoth}{\left(c + d x \right)}}{d} - \frac{b c f \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{2}} + \frac{b c f \operatorname{acoth}{\left(c + d x \right)}}{d^{2}} + b e x \operatorname{acoth}{\left(c + d x \right)} + \frac{b f x^{2} \operatorname{acoth}{\left(c + d x \right)}}{2} + \frac{b e \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d} - \frac{b e \operatorname{acoth}{\left(c + d x \right)}}{d} + \frac{b f x}{2 d} - \frac{b f \operatorname{acoth}{\left(c + d x \right)}}{2 d^{2}} & \text{for}\: d \neq 0 \\\left(a + b \operatorname{acoth}{\left(c \right)}\right) \left(e x + \frac{f x^{2}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*e*x + a*f*x**2/2 - b*c**2*f*acoth(c + d*x)/(2*d**2) + b*c*e*acoth(c + d*x)/d - b*c*f*log(c/d + x + 1/d)/d**2 + b*c*f*acoth(c + d*x)/d**2 + b*e*x*acoth(c + d*x) + b*f*x**2*acoth(c + d*x)/2 + b*e*log(c/d + x + 1/d)/d - b*e*acoth(c + d*x)/d + b*f*x/(2*d) - b*f*acoth(c + d*x)/(2*d**2), Ne(d, 0)), ((a + b*acoth(c))*(e*x + f*x**2/2), True))","A",0
105,1,46,0,0.584603," ","integrate(a+b*acoth(d*x+c),x)","a x + b \left(\begin{cases} \frac{c \operatorname{acoth}{\left(c + d x \right)}}{d} + x \operatorname{acoth}{\left(c + d x \right)} + \frac{\log{\left(c + d x + 1 \right)}}{d} - \frac{\operatorname{acoth}{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \operatorname{acoth}{\left(c \right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*x + b*Piecewise((c*acoth(c + d*x)/d + x*acoth(c + d*x) + log(c + d*x + 1)/d - acoth(c + d*x)/d, Ne(d, 0)), (x*acoth(c), True))","A",0
106,0,0,0,0.000000," ","integrate((a+b*acoth(d*x+c))/(f*x+e),x)","\int \frac{a + b \operatorname{acoth}{\left(c + d x \right)}}{e + f x}\, dx"," ",0,"Integral((a + b*acoth(c + d*x))/(e + f*x), x)","F",0
107,1,1658,0,9.477982," ","integrate((a+b*acoth(d*x+c))/(f*x+e)**2,x)","\begin{cases} \frac{a x + \frac{b c \operatorname{acoth}{\left(c + d x \right)}}{d} + b x \operatorname{acoth}{\left(c + d x \right)} + \frac{b \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d} - \frac{b \operatorname{acoth}{\left(c + d x \right)}}{d}}{e^{2}} & \text{for}\: f = 0 \\- \frac{2 a f}{2 e f^{2} + 2 f^{3} x} + \frac{b d e \operatorname{acoth}{\left(\frac{d e}{f} + d x - 1 \right)}}{2 e f^{2} + 2 f^{3} x} + \frac{b d f x \operatorname{acoth}{\left(\frac{d e}{f} + d x - 1 \right)}}{2 e f^{2} + 2 f^{3} x} - \frac{2 b f \operatorname{acoth}{\left(\frac{d e}{f} + d x - 1 \right)}}{2 e f^{2} + 2 f^{3} x} - \frac{b f}{2 e f^{2} + 2 f^{3} x} & \text{for}\: c = \frac{d e - f}{f} \\- \frac{2 a f}{2 e f^{2} + 2 f^{3} x} - \frac{b d e \operatorname{acoth}{\left(\frac{d e}{f} + d x + 1 \right)}}{2 e f^{2} + 2 f^{3} x} - \frac{b d f x \operatorname{acoth}{\left(\frac{d e}{f} + d x + 1 \right)}}{2 e f^{2} + 2 f^{3} x} - \frac{2 b f \operatorname{acoth}{\left(\frac{d e}{f} + d x + 1 \right)}}{2 e f^{2} + 2 f^{3} x} + \frac{b f}{2 e f^{2} + 2 f^{3} x} & \text{for}\: c = \frac{d e + f}{f} \\\tilde{\infty} \left(a x + \frac{b c \operatorname{acoth}{\left(c + d x \right)}}{d} + b x \operatorname{acoth}{\left(c + d x \right)} + \frac{b \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d} - \frac{b \operatorname{acoth}{\left(c + d x \right)}}{d}\right) & \text{for}\: e = - f x \\- \frac{a + b \operatorname{acoth}{\left(c \right)}}{e f + f^{2} x} & \text{for}\: d = 0 \\- \frac{a c^{2} f^{2}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{2 a c d e f}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{a d^{2} e^{2}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{a f^{2}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b c^{2} f^{2} \operatorname{acoth}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{b c d e f \operatorname{acoth}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b c d f^{2} x \operatorname{acoth}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{b d^{2} e f x \operatorname{acoth}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b d e f \log{\left(\frac{e}{f} + x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{b d e f \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b d e f \operatorname{acoth}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b d f^{2} x \log{\left(\frac{e}{f} + x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{b d f^{2} x \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b d f^{2} x \operatorname{acoth}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{b f^{2} \operatorname{acoth}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a*x + b*c*acoth(c + d*x)/d + b*x*acoth(c + d*x) + b*log(c/d + x + 1/d)/d - b*acoth(c + d*x)/d)/e**2, Eq(f, 0)), (-2*a*f/(2*e*f**2 + 2*f**3*x) + b*d*e*acoth(d*e/f + d*x - 1)/(2*e*f**2 + 2*f**3*x) + b*d*f*x*acoth(d*e/f + d*x - 1)/(2*e*f**2 + 2*f**3*x) - 2*b*f*acoth(d*e/f + d*x - 1)/(2*e*f**2 + 2*f**3*x) - b*f/(2*e*f**2 + 2*f**3*x), Eq(c, (d*e - f)/f)), (-2*a*f/(2*e*f**2 + 2*f**3*x) - b*d*e*acoth(d*e/f + d*x + 1)/(2*e*f**2 + 2*f**3*x) - b*d*f*x*acoth(d*e/f + d*x + 1)/(2*e*f**2 + 2*f**3*x) - 2*b*f*acoth(d*e/f + d*x + 1)/(2*e*f**2 + 2*f**3*x) + b*f/(2*e*f**2 + 2*f**3*x), Eq(c, (d*e + f)/f)), (zoo*(a*x + b*c*acoth(c + d*x)/d + b*x*acoth(c + d*x) + b*log(c/d + x + 1/d)/d - b*acoth(c + d*x)/d), Eq(e, -f*x)), (-(a + b*acoth(c))/(e*f + f**2*x), Eq(d, 0)), (-a*c**2*f**2/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + 2*a*c*d*e*f/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - a*d**2*e**2/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + a*f**2/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*c**2*f**2*acoth(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + b*c*d*e*f*acoth(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*c*d*f**2*x*acoth(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + b*d**2*e*f*x*acoth(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*d*e*f*log(e/f + x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + b*d*e*f*log(c/d + x + 1/d)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*d*e*f*acoth(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*d*f**2*x*log(e/f + x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + b*d*f**2*x*log(c/d + x + 1/d)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*d*f**2*x*acoth(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + b*f**2*acoth(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x), True))","A",0
108,-1,0,0,0.000000," ","integrate((a+b*acoth(d*x+c))/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,0,0,0,0.000000," ","integrate((f*x+e)**2*(a+b*acoth(d*x+c))**2,x)","\int \left(a + b \operatorname{acoth}{\left(c + d x \right)}\right)^{2} \left(e + f x\right)^{2}\, dx"," ",0,"Integral((a + b*acoth(c + d*x))**2*(e + f*x)**2, x)","F",0
110,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*acoth(d*x+c))**2,x)","\int \left(a + b \operatorname{acoth}{\left(c + d x \right)}\right)^{2} \left(e + f x\right)\, dx"," ",0,"Integral((a + b*acoth(c + d*x))**2*(e + f*x), x)","F",0
111,0,0,0,0.000000," ","integrate((a+b*acoth(d*x+c))**2,x)","\int \left(a + b \operatorname{acoth}{\left(c + d x \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*acoth(c + d*x))**2, x)","F",0
112,0,0,0,0.000000," ","integrate((a+b*acoth(d*x+c))**2/(f*x+e),x)","\int \frac{\left(a + b \operatorname{acoth}{\left(c + d x \right)}\right)^{2}}{e + f x}\, dx"," ",0,"Integral((a + b*acoth(c + d*x))**2/(e + f*x), x)","F",0
113,0,0,0,0.000000," ","integrate((a+b*acoth(d*x+c))**2/(f*x+e)**2,x)","\int \frac{\left(a + b \operatorname{acoth}{\left(c + d x \right)}\right)^{2}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral((a + b*acoth(c + d*x))**2/(e + f*x)**2, x)","F",0
114,0,0,0,0.000000," ","integrate((f*x+e)**2*(a+b*acoth(d*x+c))**3,x)","\int \left(a + b \operatorname{acoth}{\left(c + d x \right)}\right)^{3} \left(e + f x\right)^{2}\, dx"," ",0,"Integral((a + b*acoth(c + d*x))**3*(e + f*x)**2, x)","F",0
115,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*acoth(d*x+c))**3,x)","\int \left(a + b \operatorname{acoth}{\left(c + d x \right)}\right)^{3} \left(e + f x\right)\, dx"," ",0,"Integral((a + b*acoth(c + d*x))**3*(e + f*x), x)","F",0
116,0,0,0,0.000000," ","integrate((a+b*acoth(d*x+c))**3,x)","\int \left(a + b \operatorname{acoth}{\left(c + d x \right)}\right)^{3}\, dx"," ",0,"Integral((a + b*acoth(c + d*x))**3, x)","F",0
117,0,0,0,0.000000," ","integrate((a+b*acoth(d*x+c))**3/(f*x+e),x)","\int \frac{\left(a + b \operatorname{acoth}{\left(c + d x \right)}\right)^{3}}{e + f x}\, dx"," ",0,"Integral((a + b*acoth(c + d*x))**3/(e + f*x), x)","F",0
118,0,0,0,0.000000," ","integrate((a+b*acoth(d*x+c))**3/(f*x+e)**2,x)","\int \frac{\left(a + b \operatorname{acoth}{\left(c + d x \right)}\right)^{3}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral((a + b*acoth(c + d*x))**3/(e + f*x)**2, x)","F",0
119,0,0,0,0.000000," ","integrate((f*x+e)**m*(a+b*acoth(d*x+c)),x)","\int \left(a + b \operatorname{acoth}{\left(c + d x \right)}\right) \left(e + f x\right)^{m}\, dx"," ",0,"Integral((a + b*acoth(c + d*x))*(e + f*x)**m, x)","F",0
120,-1,0,0,0.000000," ","integrate((f*x+e)**m*(a+b*acoth(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,-1,0,0,0.000000," ","integrate((f*x+e)**m*(a+b*acoth(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,0,0,0,0.000000," ","integrate((a+b*acoth((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**n/(-c**2*x**2+1),x)","- \int \frac{\left(a + b \operatorname{acoth}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}\right)^{n}}{c^{2} x^{2} - 1}\, dx"," ",0,"-Integral((a + b*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1)))**n/(c**2*x**2 - 1), x)","F",0
123,0,0,0,0.000000," ","integrate((a+b*acoth((-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{acoth}^{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{acoth}^{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{acoth}{\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*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1))**3/(c**2*x**2 - 1), x) - Integral(3*a*b**2*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1))**2/(c**2*x**2 - 1), x) - Integral(3*a**2*b*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1))/(c**2*x**2 - 1), x)","F",0
124,0,0,0,0.000000," ","integrate((a+b*acoth((-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{acoth}^{2}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)}}{c^{2} x^{2} - 1}\, dx - \int \frac{2 a b \operatorname{acoth}{\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*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1))**2/(c**2*x**2 - 1), x) - Integral(2*a*b*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1))/(c**2*x**2 - 1), x)","F",0
125,0,0,0,0.000000," ","integrate((a+b*acoth((-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{acoth}{\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*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1))/(c**2*x**2 - 1), x)","F",0
126,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)/(a+b*acoth((-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{acoth}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} - b \operatorname{acoth}{\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*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1)) - b*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1))), x)","F",0
127,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)/(a+b*acoth((-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{acoth}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} - 2 a b \operatorname{acoth}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} + b^{2} c^{2} x^{2} \operatorname{acoth}^{2}{\left(\frac{\sqrt{- c x + 1}}{\sqrt{c x + 1}} \right)} - b^{2} \operatorname{acoth}^{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*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1)) - 2*a*b*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1)) + b**2*c**2*x**2*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1))**2 - b**2*acoth(sqrt(-c*x + 1)/sqrt(c*x + 1))**2), x)","F",0
128,0,0,0,0.000000," ","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
129,1,19,0,0.400129," ","integrate(x**2*acoth(tanh(b*x+a)),x)","- \frac{b x^{4}}{12} + \frac{x^{3} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{3}"," ",0,"-b*x**4/12 + x**3*acoth(tanh(a + b*x))/3","A",0
130,1,19,0,0.227858," ","integrate(x*acoth(tanh(b*x+a)),x)","- \frac{b x^{3}}{6} + \frac{x^{2} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{2}"," ",0,"-b*x**3/6 + x**2*acoth(tanh(a + b*x))/2","A",0
131,1,19,0,0.164481," ","integrate(acoth(tanh(b*x+a)),x)","\begin{cases} \frac{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 b} & \text{for}\: b \neq 0 \\x \operatorname{acoth}{\left(\tanh{\left(a \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((acoth(tanh(a + b*x))**2/(2*b), Ne(b, 0)), (x*acoth(tanh(a)), True))","A",0
132,0,0,0,0.000000," ","integrate(acoth(tanh(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(acoth(tanh(a + b*x))/x, x)","F",0
133,1,14,0,0.253105," ","integrate(acoth(tanh(b*x+a))/x**2,x)","b \log{\left(x \right)} - \frac{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{x}"," ",0,"b*log(x) - acoth(tanh(a + b*x))/x","A",0
134,1,19,0,0.510377," ","integrate(acoth(tanh(b*x+a))/x**3,x)","- \frac{b}{2 x} - \frac{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}}"," ",0,"-b/(2*x) - acoth(tanh(a + b*x))/(2*x**2)","A",0
135,1,20,0,0.793206," ","integrate(acoth(tanh(b*x+a))/x**4,x)","- \frac{b}{6 x^{2}} - \frac{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{3}}"," ",0,"-b/(6*x**2) - acoth(tanh(a + b*x))/(3*x**3)","A",0
136,0,0,0,0.000000," ","integrate(x**m*acoth(tanh(b*x+a))**2,x)","\begin{cases} b^{2} \log{\left(x \right)} - \frac{b \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{x} - \frac{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}} & \text{for}\: m = -3 \\\int \frac{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx & \text{for}\: m = -2 \\\int \frac{\operatorname{acoth}^{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{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{3} + 6 m^{2} + 11 m + 6} - \frac{6 b x^{2} x^{m} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{m^{2} x x^{m} \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{5 m x x^{m} \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{m^{3} + 6 m^{2} + 11 m + 6} + \frac{6 x x^{m} \operatorname{acoth}^{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*acoth(tanh(a + b*x))/x - acoth(tanh(a + b*x))**2/(2*x**2), Eq(m, -3)), (Integral(acoth(tanh(a + b*x))**2/x**2, x), Eq(m, -2)), (Integral(acoth(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*acoth(tanh(a + b*x))/(m**3 + 6*m**2 + 11*m + 6) - 6*b*x**2*x**m*acoth(tanh(a + b*x))/(m**3 + 6*m**2 + 11*m + 6) + m**2*x*x**m*acoth(tanh(a + b*x))**2/(m**3 + 6*m**2 + 11*m + 6) + 5*m*x*x**m*acoth(tanh(a + b*x))**2/(m**3 + 6*m**2 + 11*m + 6) + 6*x*x**m*acoth(tanh(a + b*x))**2/(m**3 + 6*m**2 + 11*m + 6), True))","F",0
137,1,78,0,2.620089," ","integrate(x**3*acoth(tanh(b*x+a))**2,x)","\begin{cases} \frac{x^{3} \operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 b} - \frac{x^{2} \operatorname{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 b^{2}} + \frac{x \operatorname{acoth}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{10 b^{3}} - \frac{\operatorname{acoth}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{60 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{acoth}^{2}{\left(\tanh{\left(a \right)} \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*acoth(tanh(a + b*x))**3/(3*b) - x**2*acoth(tanh(a + b*x))**4/(4*b**2) + x*acoth(tanh(a + b*x))**5/(10*b**3) - acoth(tanh(a + b*x))**6/(60*b**4), Ne(b, 0)), (x**4*acoth(tanh(a))**2/4, True))","A",0
138,1,60,0,1.263096," ","integrate(x**2*acoth(tanh(b*x+a))**2,x)","\begin{cases} \frac{x^{2} \operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 b} - \frac{x \operatorname{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{6 b^{2}} + \frac{\operatorname{acoth}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{30 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \operatorname{acoth}^{2}{\left(\tanh{\left(a \right)} \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*acoth(tanh(a + b*x))**3/(3*b) - x*acoth(tanh(a + b*x))**4/(6*b**2) + acoth(tanh(a + b*x))**5/(30*b**3), Ne(b, 0)), (x**3*acoth(tanh(a))**2/3, True))","A",0
139,1,41,0,0.671496," ","integrate(x*acoth(tanh(b*x+a))**2,x)","\begin{cases} \frac{x \operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 b} - \frac{\operatorname{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{12 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \operatorname{acoth}^{2}{\left(\tanh{\left(a \right)} \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*acoth(tanh(a + b*x))**3/(3*b) - acoth(tanh(a + b*x))**4/(12*b**2), Ne(b, 0)), (x**2*acoth(tanh(a))**2/2, True))","A",0
140,1,20,0,0.300274," ","integrate(acoth(tanh(b*x+a))**2,x)","\begin{cases} \frac{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 b} & \text{for}\: b \neq 0 \\x \operatorname{acoth}^{2}{\left(\tanh{\left(a \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((acoth(tanh(a + b*x))**3/(3*b), Ne(b, 0)), (x*acoth(tanh(a))**2, True))","A",0
141,0,0,0,0.000000," ","integrate(acoth(tanh(b*x+a))**2/x,x)","\int \frac{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(acoth(tanh(a + b*x))**2/x, x)","F",0
142,0,0,0,0.000000," ","integrate(acoth(tanh(b*x+a))**2/x**2,x)","\int \frac{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(acoth(tanh(a + b*x))**2/x**2, x)","F",0
143,1,32,0,0.565588," ","integrate(acoth(tanh(b*x+a))**2/x**3,x)","b^{2} \log{\left(x \right)} - \frac{b \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{x} - \frac{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}}"," ",0,"b**2*log(x) - b*acoth(tanh(a + b*x))/x - acoth(tanh(a + b*x))**2/(2*x**2)","A",0
144,1,37,0,0.868547," ","integrate(acoth(tanh(b*x+a))**2/x**4,x)","- \frac{b^{2}}{3 x} - \frac{b \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{2}} - \frac{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{3}}"," ",0,"-b**2/(3*x) - b*acoth(tanh(a + b*x))/(3*x**2) - acoth(tanh(a + b*x))**2/(3*x**3)","A",0
145,1,39,0,1.294620," ","integrate(acoth(tanh(b*x+a))**2/x**5,x)","- \frac{b^{2}}{12 x^{2}} - \frac{b \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{6 x^{3}} - \frac{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{4 x^{4}}"," ",0,"-b**2/(12*x**2) - b*acoth(tanh(a + b*x))/(6*x**3) - acoth(tanh(a + b*x))**2/(4*x**4)","A",0
146,0,0,0,0.000000," ","integrate(x**m*acoth(tanh(b*x+a))**3,x)","\begin{cases} b^{3} \log{\left(x \right)} - \frac{b^{2} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{x} - \frac{b \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}} - \frac{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{3}} & \text{for}\: m = -4 \\\int \frac{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{3}}\, dx & \text{for}\: m = -3 \\\int \frac{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx & \text{for}\: m = -2 \\\int \frac{\operatorname{acoth}^{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{acoth}{\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{acoth}{\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{acoth}^{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{acoth}^{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{acoth}^{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{acoth}^{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{acoth}^{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{acoth}^{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{acoth}^{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*acoth(tanh(a + b*x))/x - b*acoth(tanh(a + b*x))**2/(2*x**2) - acoth(tanh(a + b*x))**3/(3*x**3), Eq(m, -4)), (Integral(acoth(tanh(a + b*x))**3/x**3, x), Eq(m, -3)), (Integral(acoth(tanh(a + b*x))**3/x**2, x), Eq(m, -2)), (Integral(acoth(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*acoth(tanh(a + b*x))/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 24*b**2*x**3*x**m*acoth(tanh(a + b*x))/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 3*b*m**2*x**2*x**m*acoth(tanh(a + b*x))**2/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 21*b*m*x**2*x**m*acoth(tanh(a + b*x))**2/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) - 36*b*x**2*x**m*acoth(tanh(a + b*x))**2/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + m**3*x*x**m*acoth(tanh(a + b*x))**3/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 9*m**2*x*x**m*acoth(tanh(a + b*x))**3/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 26*m*x*x**m*acoth(tanh(a + b*x))**3/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24) + 24*x*x**m*acoth(tanh(a + b*x))**3/(m**4 + 10*m**3 + 35*m**2 + 50*m + 24), True))","F",0
147,1,97,0,6.881498," ","integrate(x**4*acoth(tanh(b*x+a))**3,x)","\begin{cases} \frac{x^{4} \operatorname{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 b} - \frac{x^{3} \operatorname{acoth}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{5 b^{2}} + \frac{x^{2} \operatorname{acoth}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{10 b^{3}} - \frac{x \operatorname{acoth}^{7}{\left(\tanh{\left(a + b x \right)} \right)}}{35 b^{4}} + \frac{\operatorname{acoth}^{8}{\left(\tanh{\left(a + b x \right)} \right)}}{280 b^{5}} & \text{for}\: b \neq 0 \\\frac{x^{5} \operatorname{acoth}^{3}{\left(\tanh{\left(a \right)} \right)}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*acoth(tanh(a + b*x))**4/(4*b) - x**3*acoth(tanh(a + b*x))**5/(5*b**2) + x**2*acoth(tanh(a + b*x))**6/(10*b**3) - x*acoth(tanh(a + b*x))**7/(35*b**4) + acoth(tanh(a + b*x))**8/(280*b**5), Ne(b, 0)), (x**5*acoth(tanh(a))**3/5, True))","A",0
148,1,80,0,4.087228," ","integrate(x**3*acoth(tanh(b*x+a))**3,x)","\begin{cases} \frac{x^{3} \operatorname{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 b} - \frac{3 x^{2} \operatorname{acoth}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{20 b^{2}} + \frac{x \operatorname{acoth}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{20 b^{3}} - \frac{\operatorname{acoth}^{7}{\left(\tanh{\left(a + b x \right)} \right)}}{140 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{acoth}^{3}{\left(\tanh{\left(a \right)} \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*acoth(tanh(a + b*x))**4/(4*b) - 3*x**2*acoth(tanh(a + b*x))**5/(20*b**2) + x*acoth(tanh(a + b*x))**6/(20*b**3) - acoth(tanh(a + b*x))**7/(140*b**4), Ne(b, 0)), (x**4*acoth(tanh(a))**3/4, True))","A",0
149,1,60,0,2.383327," ","integrate(x**2*acoth(tanh(b*x+a))**3,x)","\begin{cases} \frac{x^{2} \operatorname{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 b} - \frac{x \operatorname{acoth}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{10 b^{2}} + \frac{\operatorname{acoth}^{6}{\left(\tanh{\left(a + b x \right)} \right)}}{60 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \operatorname{acoth}^{3}{\left(\tanh{\left(a \right)} \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*acoth(tanh(a + b*x))**4/(4*b) - x*acoth(tanh(a + b*x))**5/(10*b**2) + acoth(tanh(a + b*x))**6/(60*b**3), Ne(b, 0)), (x**3*acoth(tanh(a))**3/3, True))","A",0
150,1,41,0,1.214341," ","integrate(x*acoth(tanh(b*x+a))**3,x)","\begin{cases} \frac{x \operatorname{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 b} - \frac{\operatorname{acoth}^{5}{\left(\tanh{\left(a + b x \right)} \right)}}{20 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \operatorname{acoth}^{3}{\left(\tanh{\left(a \right)} \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*acoth(tanh(a + b*x))**4/(4*b) - acoth(tanh(a + b*x))**5/(20*b**2), Ne(b, 0)), (x**2*acoth(tanh(a))**3/2, True))","A",0
151,1,20,0,0.606244," ","integrate(acoth(tanh(b*x+a))**3,x)","\begin{cases} \frac{\operatorname{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}{4 b} & \text{for}\: b \neq 0 \\x \operatorname{acoth}^{3}{\left(\tanh{\left(a \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((acoth(tanh(a + b*x))**4/(4*b), Ne(b, 0)), (x*acoth(tanh(a))**3, True))","A",0
152,0,0,0,0.000000," ","integrate(acoth(tanh(b*x+a))**3/x,x)","\int \frac{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(acoth(tanh(a + b*x))**3/x, x)","F",0
153,0,0,0,0.000000," ","integrate(acoth(tanh(b*x+a))**3/x**2,x)","\int \frac{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(acoth(tanh(a + b*x))**3/x**2, x)","F",0
154,0,0,0,0.000000," ","integrate(acoth(tanh(b*x+a))**3/x**3,x)","\int \frac{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(acoth(tanh(a + b*x))**3/x**3, x)","F",0
155,1,51,0,0.847800," ","integrate(acoth(tanh(b*x+a))**3/x**4,x)","b^{3} \log{\left(x \right)} - \frac{b^{2} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{x} - \frac{b \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{2 x^{2}} - \frac{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{3 x^{3}}"," ",0,"b**3*log(x) - b**2*acoth(tanh(a + b*x))/x - b*acoth(tanh(a + b*x))**2/(2*x**2) - acoth(tanh(a + b*x))**3/(3*x**3)","A",0
156,1,56,0,1.317678," ","integrate(acoth(tanh(b*x+a))**3/x**5,x)","- \frac{b^{3}}{4 x} - \frac{b^{2} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{4 x^{2}} - \frac{b \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{4 x^{3}} - \frac{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{4 x^{4}}"," ",0,"-b**3/(4*x) - b**2*acoth(tanh(a + b*x))/(4*x**2) - b*acoth(tanh(a + b*x))**2/(4*x**3) - acoth(tanh(a + b*x))**3/(4*x**4)","B",0
157,1,60,0,2.120508," ","integrate(acoth(tanh(b*x+a))**3/x**6,x)","- \frac{b^{3}}{20 x^{2}} - \frac{b^{2} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}{10 x^{3}} - \frac{3 b \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}{20 x^{4}} - \frac{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}{5 x^{5}}"," ",0,"-b**3/(20*x**2) - b**2*acoth(tanh(a + b*x))/(10*x**3) - 3*b*acoth(tanh(a + b*x))**2/(20*x**4) - acoth(tanh(a + b*x))**3/(5*x**5)","A",0
158,0,0,0,0.000000," ","integrate(x**m/acoth(tanh(b*x+a)),x)","\int \frac{x^{m}}{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**m/acoth(tanh(a + b*x)), x)","F",0
159,0,0,0,0.000000," ","integrate(x**3/acoth(tanh(b*x+a)),x)","\int \frac{x^{3}}{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**3/acoth(tanh(a + b*x)), x)","F",0
160,0,0,0,0.000000," ","integrate(x**2/acoth(tanh(b*x+a)),x)","\int \frac{x^{2}}{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**2/acoth(tanh(a + b*x)), x)","F",0
161,0,0,0,0.000000," ","integrate(x/acoth(tanh(b*x+a)),x)","\int \frac{x}{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x/acoth(tanh(a + b*x)), x)","F",0
162,-2,0,0,0.000000," ","integrate(1/acoth(tanh(b*x+a)),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
163,0,0,0,0.000000," ","integrate(1/x/acoth(tanh(b*x+a)),x)","\int \frac{1}{x \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x*acoth(tanh(a + b*x))), x)","F",0
164,0,0,0,0.000000," ","integrate(1/x**2/acoth(tanh(b*x+a)),x)","\int \frac{1}{x^{2} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**2*acoth(tanh(a + b*x))), x)","F",0
165,0,0,0,0.000000," ","integrate(1/x**3/acoth(tanh(b*x+a)),x)","\int \frac{1}{x^{3} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**3*acoth(tanh(a + b*x))), x)","F",0
166,0,0,0,0.000000," ","integrate(x**m/acoth(tanh(b*x+a))**2,x)","\int \frac{x^{m}}{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**m/acoth(tanh(a + b*x))**2, x)","F",0
167,0,0,0,0.000000," ","integrate(x**4/acoth(tanh(b*x+a))**2,x)","\int \frac{x^{4}}{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**4/acoth(tanh(a + b*x))**2, x)","F",0
168,0,0,0,0.000000," ","integrate(x**3/acoth(tanh(b*x+a))**2,x)","\int \frac{x^{3}}{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**3/acoth(tanh(a + b*x))**2, x)","F",0
169,0,0,0,0.000000," ","integrate(x**2/acoth(tanh(b*x+a))**2,x)","\int \frac{x^{2}}{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**2/acoth(tanh(a + b*x))**2, x)","F",0
170,-2,0,0,0.000000," ","integrate(x/acoth(tanh(b*x+a))**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
171,-2,0,0,0.000000," ","integrate(1/acoth(tanh(b*x+a))**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
172,0,0,0,0.000000," ","integrate(1/x/acoth(tanh(b*x+a))**2,x)","\int \frac{1}{x \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x*acoth(tanh(a + b*x))**2), x)","F",0
173,0,0,0,0.000000," ","integrate(1/x**2/acoth(tanh(b*x+a))**2,x)","\int \frac{1}{x^{2} \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**2*acoth(tanh(a + b*x))**2), x)","F",0
174,0,0,0,0.000000," ","integrate(1/x**3/acoth(tanh(b*x+a))**2,x)","\int \frac{1}{x^{3} \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**3*acoth(tanh(a + b*x))**2), x)","F",0
175,0,0,0,0.000000," ","integrate(x**m/acoth(tanh(b*x+a))**3,x)","\int \frac{x^{m}}{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**m/acoth(tanh(a + b*x))**3, x)","F",0
176,0,0,0,0.000000," ","integrate(x**4/acoth(tanh(b*x+a))**3,x)","\int \frac{x^{4}}{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**4/acoth(tanh(a + b*x))**3, x)","F",0
177,0,0,0,0.000000," ","integrate(x**3/acoth(tanh(b*x+a))**3,x)","\int \frac{x^{3}}{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(x**3/acoth(tanh(a + b*x))**3, x)","F",0
178,-2,0,0,0.000000," ","integrate(x**2/acoth(tanh(b*x+a))**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
179,-2,0,0,0.000000," ","integrate(x/acoth(tanh(b*x+a))**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
180,-2,0,0,0.000000," ","integrate(1/acoth(tanh(b*x+a))**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
181,0,0,0,0.000000," ","integrate(1/x/acoth(tanh(b*x+a))**3,x)","\int \frac{1}{x \operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x*acoth(tanh(a + b*x))**3), x)","F",0
182,0,0,0,0.000000," ","integrate(1/x**2/acoth(tanh(b*x+a))**3,x)","\int \frac{1}{x^{2} \operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**2*acoth(tanh(a + b*x))**3), x)","F",0
183,0,0,0,0.000000," ","integrate(1/x**3/acoth(tanh(b*x+a))**3,x)","\int \frac{1}{x^{3} \operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx"," ",0,"Integral(1/(x**3*acoth(tanh(a + b*x))**3), x)","F",0
184,0,0,0,0.000000," ","integrate(x**m*acoth(tanh(b*x+a))**n,x)","\int x^{m} \operatorname{acoth}^{n}{\left(\tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**m*acoth(tanh(a + b*x))**n, x)","F",0
185,0,0,0,0.000000," ","integrate(x**4*acoth(tanh(b*x+a))**n,x)","\begin{cases} \frac{x^{5} \operatorname{acoth}^{n}{\left(\tanh{\left(a \right)} \right)}}{5} & \text{for}\: b = 0 \\- \frac{x^{4}}{4 b \operatorname{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x^{3}}{3 b^{2} \operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x^{2}}{2 b^{3} \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x}{b^{4} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}} + \frac{\log{\left(\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \right)}}{b^{5}} & \text{for}\: n = -5 \\\int \frac{x^{4}}{\operatorname{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -4 \\\int \frac{x^{4}}{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -3 \\\int \frac{x^{4}}{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -2 \\\int \frac{x^{4}}{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -1 \\\frac{b^{4} n^{4} x^{4} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{5}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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*acoth(tanh(a))**n/5, Eq(b, 0)), (-x**4/(4*b*acoth(tanh(a + b*x))**4) - x**3/(3*b**2*acoth(tanh(a + b*x))**3) - x**2/(2*b**3*acoth(tanh(a + b*x))**2) - x/(b**4*acoth(tanh(a + b*x))) + log(acoth(tanh(a + b*x)))/b**5, Eq(n, -5)), (Integral(x**4/acoth(tanh(a + b*x))**4, x), Eq(n, -4)), (Integral(x**4/acoth(tanh(a + b*x))**3, x), Eq(n, -3)), (Integral(x**4/acoth(tanh(a + b*x))**2, x), Eq(n, -2)), (Integral(x**4/acoth(tanh(a + b*x)), x), Eq(n, -1)), (b**4*n**4*x**4*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))**2*acoth(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*acoth(tanh(a + b*x))**2*acoth(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*acoth(tanh(a + b*x))**2*acoth(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*acoth(tanh(a + b*x))**2*acoth(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*acoth(tanh(a + b*x))**3*acoth(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*acoth(tanh(a + b*x))**3*acoth(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*acoth(tanh(a + b*x))**3*acoth(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*acoth(tanh(a + b*x))**4*acoth(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*acoth(tanh(a + b*x))**4*acoth(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*acoth(tanh(a + b*x))**5*acoth(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
186,0,0,0,0.000000," ","integrate(x**3*acoth(tanh(b*x+a))**n,x)","\begin{cases} \frac{x^{4} \operatorname{acoth}^{n}{\left(\tanh{\left(a \right)} \right)}}{4} & \text{for}\: b = 0 \\- \frac{x^{3}}{3 b \operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x^{2}}{2 b^{2} \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x}{b^{3} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}} + \frac{\log{\left(\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \right)}}{b^{4}} & \text{for}\: n = -4 \\\int \frac{x^{3}}{\operatorname{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -3 \\\int \frac{x^{3}}{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -2 \\\int \frac{x^{3}}{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -1 \\\frac{b^{3} n^{3} x^{3} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{4}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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*acoth(tanh(a))**n/4, Eq(b, 0)), (-x**3/(3*b*acoth(tanh(a + b*x))**3) - x**2/(2*b**2*acoth(tanh(a + b*x))**2) - x/(b**3*acoth(tanh(a + b*x))) + log(acoth(tanh(a + b*x)))/b**4, Eq(n, -4)), (Integral(x**3/acoth(tanh(a + b*x))**3, x), Eq(n, -3)), (Integral(x**3/acoth(tanh(a + b*x))**2, x), Eq(n, -2)), (Integral(x**3/acoth(tanh(a + b*x)), x), Eq(n, -1)), (b**3*n**3*x**3*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))**2*acoth(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*acoth(tanh(a + b*x))**2*acoth(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*acoth(tanh(a + b*x))**2*acoth(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*acoth(tanh(a + b*x))**3*acoth(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*acoth(tanh(a + b*x))**3*acoth(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*acoth(tanh(a + b*x))**4*acoth(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
187,0,0,0,0.000000," ","integrate(x**2*acoth(tanh(b*x+a))**n,x)","\begin{cases} \frac{x^{3} \operatorname{acoth}^{n}{\left(\tanh{\left(a \right)} \right)}}{3} & \text{for}\: b = 0 \\- \frac{x^{2}}{2 b \operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}} - \frac{x}{b^{2} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}} + \frac{\log{\left(\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \right)}}{b^{3}} & \text{for}\: n = -3 \\\int \frac{x^{2}}{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -2 \\\int \frac{x^{2}}{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -1 \\\frac{b^{2} n^{2} x^{2} \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}^{3}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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*acoth(tanh(a))**n/3, Eq(b, 0)), (-x**2/(2*b*acoth(tanh(a + b*x))**2) - x/(b**2*acoth(tanh(a + b*x))) + log(acoth(tanh(a + b*x)))/b**3, Eq(n, -3)), (Integral(x**2/acoth(tanh(a + b*x))**2, x), Eq(n, -2)), (Integral(x**2/acoth(tanh(a + b*x)), x), Eq(n, -1)), (b**2*n**2*x**2*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))*acoth(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*acoth(tanh(a + b*x))**2*acoth(tanh(a + b*x))**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) - 6*b*x*acoth(tanh(a + b*x))**2*acoth(tanh(a + b*x))**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3) + 2*acoth(tanh(a + b*x))**3*acoth(tanh(a + b*x))**n/(b**3*n**3 + 6*b**3*n**2 + 11*b**3*n + 6*b**3), True))","F",0
188,0,0,0,0.000000," ","integrate(x*acoth(tanh(b*x+a))**n,x)","\begin{cases} \frac{x^{2} \operatorname{acoth}^{n}{\left(\tanh{\left(a \right)} \right)}}{2} & \text{for}\: b = 0 \\- \frac{x}{b \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}} + \frac{\log{\left(\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \right)}}{b^{2}} & \text{for}\: n = -2 \\\int \frac{x}{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)}}\, dx & \text{for}\: n = -1 \\\frac{b n x \operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b^{2} n^{2} + 3 b^{2} n + 2 b^{2}} - \frac{\operatorname{acoth}^{2}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{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*acoth(tanh(a))**n/2, Eq(b, 0)), (-x/(b*acoth(tanh(a + b*x))) + log(acoth(tanh(a + b*x)))/b**2, Eq(n, -2)), (Integral(x/acoth(tanh(a + b*x)), x), Eq(n, -1)), (b*n*x*acoth(tanh(a + b*x))*acoth(tanh(a + b*x))**n/(b**2*n**2 + 3*b**2*n + 2*b**2) + 2*b*x*acoth(tanh(a + b*x))*acoth(tanh(a + b*x))**n/(b**2*n**2 + 3*b**2*n + 2*b**2) - acoth(tanh(a + b*x))**2*acoth(tanh(a + b*x))**n/(b**2*n**2 + 3*b**2*n + 2*b**2), True))","F",0
189,1,51,0,0.736781," ","integrate(acoth(tanh(b*x+a))**n,x)","\begin{cases} \frac{x}{\operatorname{acoth}{\left(\tanh{\left(a \right)} \right)}} & \text{for}\: b = 0 \wedge n = -1 \\x \operatorname{acoth}^{n}{\left(\tanh{\left(a \right)} \right)} & \text{for}\: b = 0 \\\frac{\log{\left(\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \right)}}{b} & \text{for}\: n = -1 \\\frac{\operatorname{acoth}{\left(\tanh{\left(a + b x \right)} \right)} \operatorname{acoth}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{b n + b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/acoth(tanh(a)), Eq(b, 0) & Eq(n, -1)), (x*acoth(tanh(a))**n, Eq(b, 0)), (log(acoth(tanh(a + b*x)))/b, Eq(n, -1)), (acoth(tanh(a + b*x))*acoth(tanh(a + b*x))**n/(b*n + b), True))","A",0
190,0,0,0,0.000000," ","integrate(acoth(tanh(b*x+a))**n/x,x)","\int \frac{\operatorname{acoth}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(acoth(tanh(a + b*x))**n/x, x)","F",0
191,0,0,0,0.000000," ","integrate(acoth(tanh(b*x+a))**n/x**2,x)","\int \frac{\operatorname{acoth}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(acoth(tanh(a + b*x))**n/x**2, x)","F",0
192,0,0,0,0.000000," ","integrate(acoth(tanh(b*x+a))**n/x**3,x)","\int \frac{\operatorname{acoth}^{n}{\left(\tanh{\left(a + b x \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(acoth(tanh(a + b*x))**n/x**3, x)","F",0
193,0,0,0,0.000000," ","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
194,1,39,0,11.343324," ","integrate(x**2*acoth(coth(b*x+a)),x)","\begin{cases} 0 & \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{acoth}{\left(\frac{1}{\tanh{\left(a + b x \right)}} \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (-b*x**4/12 + x**3*acoth(1/tanh(a + b*x))/3, True))","A",0
195,1,39,0,5.600502," ","integrate(x*acoth(coth(b*x+a)),x)","\begin{cases} 0 & \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{acoth}{\left(\frac{1}{\tanh{\left(a + b x \right)}} \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (-b*x**3/6 + x**2*acoth(1/tanh(a + b*x))/2, True))","A",0
196,1,37,0,2.927585," ","integrate(acoth(coth(b*x+a)),x)","\begin{cases} x \operatorname{acoth}{\left(\coth{\left(a \right)} \right)} & \text{for}\: b = 0 \\0 & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\\frac{\operatorname{acoth}^{2}{\left(\frac{1}{\tanh{\left(a + b x \right)}} \right)}}{2 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*acoth(coth(a)), Eq(b, 0)), (0, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (acoth(1/tanh(a + b*x))**2/(2*b), True))","A",0
197,0,0,0,0.000000," ","integrate(acoth(coth(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(\coth{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(acoth(coth(a + b*x))/x, x)","F",0
198,1,34,0,5.736001," ","integrate(acoth(coth(b*x+a))/x**2,x)","\begin{cases} 0 & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\b \log{\left(x \right)} - \frac{\operatorname{acoth}{\left(\frac{1}{\tanh{\left(a + b x \right)}} \right)}}{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (b*log(x) - acoth(1/tanh(a + b*x))/x, True))","A",0
199,1,39,0,10.802725," ","integrate(acoth(coth(b*x+a))/x**3,x)","\begin{cases} 0 & \text{for}\: a = \log{\left(- e^{- b x} \right)} \vee a = \log{\left(e^{- b x} \right)} \\- \frac{b}{2 x} - \frac{\operatorname{acoth}{\left(\frac{1}{\tanh{\left(a + b x \right)}} \right)}}{2 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(a, log(exp(-b*x))) | Eq(a, log(-exp(-b*x)))), (-b/(2*x) - acoth(1/tanh(a + b*x))/(2*x**2), True))","A",0
200,0,0,0,0.000000," ","integrate(acoth(cosh(x)),x)","\int \operatorname{acoth}{\left(\cosh{\left(x \right)} \right)}\, dx"," ",0,"Integral(acoth(cosh(x)), x)","F",0
201,0,0,0,0.000000," ","integrate(x*acoth(cosh(x)),x)","\int x \operatorname{acoth}{\left(\cosh{\left(x \right)} \right)}\, dx"," ",0,"Integral(x*acoth(cosh(x)), x)","F",0
202,0,0,0,0.000000," ","integrate(x**2*acoth(cosh(x)),x)","\int x^{2} \operatorname{acoth}{\left(\cosh{\left(x \right)} \right)}\, dx"," ",0,"Integral(x**2*acoth(cosh(x)), x)","F",0
203,0,0,0,0.000000," ","integrate(x**2*acoth(c+d*tanh(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(c + d \tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**2*acoth(c + d*tanh(a + b*x)), x)","F",0
204,0,0,0,0.000000," ","integrate(x*acoth(c+d*tanh(b*x+a)),x)","\int x \operatorname{acoth}{\left(c + d \tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x*acoth(c + d*tanh(a + b*x)), x)","F",0
205,0,0,0,0.000000," ","integrate(acoth(c+d*tanh(b*x+a)),x)","\int \operatorname{acoth}{\left(c + d \tanh{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(acoth(c + d*tanh(a + b*x)), x)","F",0
206,0,0,0,0.000000," ","integrate(acoth(c+d*tanh(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(c + d \tanh{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(acoth(c + d*tanh(a + b*x))/x, x)","F",0
207,0,0,0,0.000000," ","integrate(x**3*acoth(1+d+d*tanh(b*x+a)),x)","\int x^{3} \operatorname{acoth}{\left(d \tanh{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x**3*acoth(d*tanh(a + b*x) + d + 1), x)","F",0
208,0,0,0,0.000000," ","integrate(x**2*acoth(1+d+d*tanh(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(d \tanh{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x**2*acoth(d*tanh(a + b*x) + d + 1), x)","F",0
209,0,0,0,0.000000," ","integrate(x*acoth(1+d+d*tanh(b*x+a)),x)","\int x \operatorname{acoth}{\left(d \tanh{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x*acoth(d*tanh(a + b*x) + d + 1), x)","F",0
210,0,0,0,0.000000," ","integrate(acoth(1+d+d*tanh(b*x+a)),x)","\int \operatorname{acoth}{\left(d \tanh{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(acoth(d*tanh(a + b*x) + d + 1), x)","F",0
211,0,0,0,0.000000," ","integrate(acoth(1+d+d*tanh(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(d \tanh{\left(a + b x \right)} + d + 1 \right)}}{x}\, dx"," ",0,"Integral(acoth(d*tanh(a + b*x) + d + 1)/x, x)","F",0
212,0,0,0,0.000000," ","integrate(x**3*acoth(1-d-d*tanh(b*x+a)),x)","\int x^{3} \operatorname{acoth}{\left(- d \tanh{\left(a + b x \right)} - d + 1 \right)}\, dx"," ",0,"Integral(x**3*acoth(-d*tanh(a + b*x) - d + 1), x)","F",0
213,0,0,0,0.000000," ","integrate(x**2*acoth(1-d-d*tanh(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(- d \tanh{\left(a + b x \right)} - d + 1 \right)}\, dx"," ",0,"Integral(x**2*acoth(-d*tanh(a + b*x) - d + 1), x)","F",0
214,0,0,0,0.000000," ","integrate(x*acoth(1-d-d*tanh(b*x+a)),x)","\int x \operatorname{acoth}{\left(- d \tanh{\left(a + b x \right)} - d + 1 \right)}\, dx"," ",0,"Integral(x*acoth(-d*tanh(a + b*x) - d + 1), x)","F",0
215,0,0,0,0.000000," ","integrate(acoth(1-d-d*tanh(b*x+a)),x)","\int \operatorname{acoth}{\left(- d \tanh{\left(a + b x \right)} - d + 1 \right)}\, dx"," ",0,"Integral(acoth(-d*tanh(a + b*x) - d + 1), x)","F",0
216,0,0,0,0.000000," ","integrate(acoth(1-d-d*tanh(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(- d \tanh{\left(a + b x \right)} - d + 1 \right)}}{x}\, dx"," ",0,"Integral(acoth(-d*tanh(a + b*x) - d + 1)/x, x)","F",0
217,0,0,0,0.000000," ","integrate(x**2*acoth(c+d*coth(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(c + d \coth{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**2*acoth(c + d*coth(a + b*x)), x)","F",0
218,0,0,0,0.000000," ","integrate(x*acoth(c+d*coth(b*x+a)),x)","\int x \operatorname{acoth}{\left(c + d \coth{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x*acoth(c + d*coth(a + b*x)), x)","F",0
219,0,0,0,0.000000," ","integrate(acoth(c+d*coth(b*x+a)),x)","\int \operatorname{acoth}{\left(c + d \coth{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(acoth(c + d*coth(a + b*x)), x)","F",0
220,0,0,0,0.000000," ","integrate(acoth(c+d*coth(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(c + d \coth{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(acoth(c + d*coth(a + b*x))/x, x)","F",0
221,0,0,0,0.000000," ","integrate(x**3*acoth(1+d+d*coth(b*x+a)),x)","\int x^{3} \operatorname{acoth}{\left(d \coth{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x**3*acoth(d*coth(a + b*x) + d + 1), x)","F",0
222,0,0,0,0.000000," ","integrate(x**2*acoth(1+d+d*coth(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(d \coth{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x**2*acoth(d*coth(a + b*x) + d + 1), x)","F",0
223,0,0,0,0.000000," ","integrate(x*acoth(1+d+d*coth(b*x+a)),x)","\int x \operatorname{acoth}{\left(d \coth{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(x*acoth(d*coth(a + b*x) + d + 1), x)","F",0
224,0,0,0,0.000000," ","integrate(acoth(1+d+d*coth(b*x+a)),x)","\int \operatorname{acoth}{\left(d \coth{\left(a + b x \right)} + d + 1 \right)}\, dx"," ",0,"Integral(acoth(d*coth(a + b*x) + d + 1), x)","F",0
225,0,0,0,0.000000," ","integrate(acoth(1+d+d*coth(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(d \coth{\left(a + b x \right)} + d + 1 \right)}}{x}\, dx"," ",0,"Integral(acoth(d*coth(a + b*x) + d + 1)/x, x)","F",0
226,0,0,0,0.000000," ","integrate(x**3*acoth(1-d-d*coth(b*x+a)),x)","\int x^{3} \operatorname{acoth}{\left(- d \coth{\left(a + b x \right)} - d + 1 \right)}\, dx"," ",0,"Integral(x**3*acoth(-d*coth(a + b*x) - d + 1), x)","F",0
227,0,0,0,0.000000," ","integrate(x**2*acoth(1-d-d*coth(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(- d \coth{\left(a + b x \right)} - d + 1 \right)}\, dx"," ",0,"Integral(x**2*acoth(-d*coth(a + b*x) - d + 1), x)","F",0
228,0,0,0,0.000000," ","integrate(x*acoth(1-d-d*coth(b*x+a)),x)","\int x \operatorname{acoth}{\left(- d \coth{\left(a + b x \right)} - d + 1 \right)}\, dx"," ",0,"Integral(x*acoth(-d*coth(a + b*x) - d + 1), x)","F",0
229,0,0,0,0.000000," ","integrate(acoth(1-d-d*coth(b*x+a)),x)","\int \operatorname{acoth}{\left(- d \coth{\left(a + b x \right)} - d + 1 \right)}\, dx"," ",0,"Integral(acoth(-d*coth(a + b*x) - d + 1), x)","F",0
230,0,0,0,0.000000," ","integrate(acoth(1-d-d*coth(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(- d \coth{\left(a + b x \right)} - d + 1 \right)}}{x}\, dx"," ",0,"Integral(acoth(-d*coth(a + b*x) - d + 1)/x, x)","F",0
231,0,0,0,0.000000," ","integrate((f*x+e)**3*acoth(tan(b*x+a)),x)","\int \left(e + f x\right)^{3} \operatorname{acoth}{\left(\tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**3*acoth(tan(a + b*x)), x)","F",0
232,0,0,0,0.000000," ","integrate((f*x+e)**2*acoth(tan(b*x+a)),x)","\int \left(e + f x\right)^{2} \operatorname{acoth}{\left(\tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**2*acoth(tan(a + b*x)), x)","F",0
233,0,0,0,0.000000," ","integrate((f*x+e)*acoth(tan(b*x+a)),x)","\int \left(e + f x\right) \operatorname{acoth}{\left(\tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)*acoth(tan(a + b*x)), x)","F",0
234,0,0,0,0.000000," ","integrate(acoth(tan(b*x+a)),x)","\int \operatorname{acoth}{\left(\tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(acoth(tan(a + b*x)), x)","F",0
235,0,0,0,0.000000," ","integrate(acoth(tan(b*x+a))/(f*x+e),x)","\int \frac{\operatorname{acoth}{\left(\tan{\left(a + b x \right)} \right)}}{e + f x}\, dx"," ",0,"Integral(acoth(tan(a + b*x))/(e + f*x), x)","F",0
236,0,0,0,0.000000," ","integrate(x**2*acoth(c+d*tan(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(c + d \tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**2*acoth(c + d*tan(a + b*x)), x)","F",0
237,0,0,0,0.000000," ","integrate(x*acoth(c+d*tan(b*x+a)),x)","\int x \operatorname{acoth}{\left(c + d \tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x*acoth(c + d*tan(a + b*x)), x)","F",0
238,0,0,0,0.000000," ","integrate(acoth(c+d*tan(b*x+a)),x)","\int \operatorname{acoth}{\left(c + d \tan{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(acoth(c + d*tan(a + b*x)), x)","F",0
239,0,0,0,0.000000," ","integrate(acoth(c+d*tan(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(c + d \tan{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(acoth(c + d*tan(a + b*x))/x, x)","F",0
240,0,0,0,0.000000," ","integrate(x**2*acoth(1-I*d+d*tan(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(d \tan{\left(a + b x \right)} - i d + 1 \right)}\, dx"," ",0,"Integral(x**2*acoth(d*tan(a + b*x) - I*d + 1), x)","F",0
241,0,0,0,0.000000," ","integrate(x*acoth(1-I*d+d*tan(b*x+a)),x)","\int x \operatorname{acoth}{\left(d \tan{\left(a + b x \right)} - i d + 1 \right)}\, dx"," ",0,"Integral(x*acoth(d*tan(a + b*x) - I*d + 1), x)","F",0
242,0,0,0,0.000000," ","integrate(acoth(1-I*d+d*tan(b*x+a)),x)","\int \operatorname{acoth}{\left(d \tan{\left(a + b x \right)} - i d + 1 \right)}\, dx"," ",0,"Integral(acoth(d*tan(a + b*x) - I*d + 1), x)","F",0
243,0,0,0,0.000000," ","integrate(acoth(1-I*d+d*tan(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(d \tan{\left(a + b x \right)} - i d + 1 \right)}}{x}\, dx"," ",0,"Integral(acoth(d*tan(a + b*x) - I*d + 1)/x, x)","F",0
244,0,0,0,0.000000," ","integrate(x**2*acoth(1+I*d-d*tan(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(- d \tan{\left(a + b x \right)} + i d + 1 \right)}\, dx"," ",0,"Integral(x**2*acoth(-d*tan(a + b*x) + I*d + 1), x)","F",0
245,0,0,0,0.000000," ","integrate(x*acoth(1+I*d-d*tan(b*x+a)),x)","\int x \operatorname{acoth}{\left(- d \tan{\left(a + b x \right)} + i d + 1 \right)}\, dx"," ",0,"Integral(x*acoth(-d*tan(a + b*x) + I*d + 1), x)","F",0
246,0,0,0,0.000000," ","integrate(acoth(1+I*d-d*tan(b*x+a)),x)","\int \operatorname{acoth}{\left(- d \tan{\left(a + b x \right)} + i d + 1 \right)}\, dx"," ",0,"Integral(acoth(-d*tan(a + b*x) + I*d + 1), x)","F",0
247,0,0,0,0.000000," ","integrate(acoth(1+I*d-d*tan(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(- d \tan{\left(a + b x \right)} + i d + 1 \right)}}{x}\, dx"," ",0,"Integral(acoth(-d*tan(a + b*x) + I*d + 1)/x, x)","F",0
248,0,0,0,0.000000," ","integrate((f*x+e)**3*acoth(cot(b*x+a)),x)","\int \left(e + f x\right)^{3} \operatorname{acoth}{\left(\cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**3*acoth(cot(a + b*x)), x)","F",0
249,0,0,0,0.000000," ","integrate((f*x+e)**2*acoth(cot(b*x+a)),x)","\int \left(e + f x\right)^{2} \operatorname{acoth}{\left(\cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)**2*acoth(cot(a + b*x)), x)","F",0
250,0,0,0,0.000000," ","integrate((f*x+e)*acoth(cot(b*x+a)),x)","\int \left(e + f x\right) \operatorname{acoth}{\left(\cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral((e + f*x)*acoth(cot(a + b*x)), x)","F",0
251,0,0,0,0.000000," ","integrate(acoth(cot(b*x+a)),x)","\int \operatorname{acoth}{\left(\cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(acoth(cot(a + b*x)), x)","F",0
252,0,0,0,0.000000," ","integrate(acoth(cot(b*x+a))/(f*x+e),x)","\int \frac{\operatorname{acoth}{\left(\cot{\left(a + b x \right)} \right)}}{e + f x}\, dx"," ",0,"Integral(acoth(cot(a + b*x))/(e + f*x), x)","F",0
253,0,0,0,0.000000," ","integrate(x**2*acoth(c+d*cot(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(c + d \cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x**2*acoth(c + d*cot(a + b*x)), x)","F",0
254,0,0,0,0.000000," ","integrate(x*acoth(c+d*cot(b*x+a)),x)","\int x \operatorname{acoth}{\left(c + d \cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(x*acoth(c + d*cot(a + b*x)), x)","F",0
255,0,0,0,0.000000," ","integrate(acoth(c+d*cot(b*x+a)),x)","\int \operatorname{acoth}{\left(c + d \cot{\left(a + b x \right)} \right)}\, dx"," ",0,"Integral(acoth(c + d*cot(a + b*x)), x)","F",0
256,0,0,0,0.000000," ","integrate(acoth(c+d*cot(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(c + d \cot{\left(a + b x \right)} \right)}}{x}\, dx"," ",0,"Integral(acoth(c + d*cot(a + b*x))/x, x)","F",0
257,0,0,0,0.000000," ","integrate(x**2*acoth(1+I*d+d*cot(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(d \cot{\left(a + b x \right)} + i d + 1 \right)}\, dx"," ",0,"Integral(x**2*acoth(d*cot(a + b*x) + I*d + 1), x)","F",0
258,0,0,0,0.000000," ","integrate(x*acoth(1+I*d+d*cot(b*x+a)),x)","\int x \operatorname{acoth}{\left(d \cot{\left(a + b x \right)} + i d + 1 \right)}\, dx"," ",0,"Integral(x*acoth(d*cot(a + b*x) + I*d + 1), x)","F",0
259,0,0,0,0.000000," ","integrate(acoth(1+I*d+d*cot(b*x+a)),x)","\int \operatorname{acoth}{\left(d \cot{\left(a + b x \right)} + i d + 1 \right)}\, dx"," ",0,"Integral(acoth(d*cot(a + b*x) + I*d + 1), x)","F",0
260,0,0,0,0.000000," ","integrate(acoth(1+I*d+d*cot(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(d \cot{\left(a + b x \right)} + i d + 1 \right)}}{x}\, dx"," ",0,"Integral(acoth(d*cot(a + b*x) + I*d + 1)/x, x)","F",0
261,0,0,0,0.000000," ","integrate(x**2*acoth(1-I*d-d*cot(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(- d \cot{\left(a + b x \right)} - i d + 1 \right)}\, dx"," ",0,"Integral(x**2*acoth(-d*cot(a + b*x) - I*d + 1), x)","F",0
262,0,0,0,0.000000," ","integrate(x*acoth(1-I*d-d*cot(b*x+a)),x)","\int x \operatorname{acoth}{\left(- d \cot{\left(a + b x \right)} - i d + 1 \right)}\, dx"," ",0,"Integral(x*acoth(-d*cot(a + b*x) - I*d + 1), x)","F",0
263,0,0,0,0.000000," ","integrate(acoth(1-I*d-d*cot(b*x+a)),x)","\int \operatorname{acoth}{\left(- d \cot{\left(a + b x \right)} - i d + 1 \right)}\, dx"," ",0,"Integral(acoth(-d*cot(a + b*x) - I*d + 1), x)","F",0
264,0,0,0,0.000000," ","integrate(acoth(1-I*d-d*cot(b*x+a))/x,x)","\int \frac{\operatorname{acoth}{\left(- d \cot{\left(a + b x \right)} - i d + 1 \right)}}{x}\, dx"," ",0,"Integral(acoth(-d*cot(a + b*x) - I*d + 1)/x, x)","F",0
265,-1,0,0,0.000000," ","integrate((a+b*acoth(c*x**n))*(d+e*ln(f*x**m))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
266,1,362,0,23.396790," ","integrate(x**5*(a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1)),x)","\begin{cases} \frac{a d x^{6}}{6} + \frac{a e x^{6} \log{\left(- c^{2} x^{2} + 1 \right)}}{6} - \frac{a e x^{6}}{18} - \frac{a e x^{4}}{12 c^{2}} - \frac{a e x^{2}}{6 c^{4}} - \frac{a e \log{\left(- c^{2} x^{2} + 1 \right)}}{6 c^{6}} + \frac{b d x^{6} \operatorname{acoth}{\left(c x \right)}}{6} + \frac{b e x^{6} \log{\left(- c^{2} x^{2} + 1 \right)} \operatorname{acoth}{\left(c x \right)}}{6} - \frac{b e x^{6} \operatorname{acoth}{\left(c x \right)}}{18} + \frac{b d x^{5}}{30 c} + \frac{b e x^{5} \log{\left(- c^{2} x^{2} + 1 \right)}}{30 c} - \frac{11 b e x^{5}}{450 c} - \frac{b e x^{4} \operatorname{acoth}{\left(c x \right)}}{12 c^{2}} + \frac{b d x^{3}}{18 c^{3}} + \frac{b e x^{3} \log{\left(- c^{2} x^{2} + 1 \right)}}{18 c^{3}} - \frac{19 b e x^{3}}{180 c^{3}} - \frac{b e x^{2} \operatorname{acoth}{\left(c x \right)}}{6 c^{4}} + \frac{b d x}{6 c^{5}} + \frac{b e x \log{\left(- c^{2} x^{2} + 1 \right)}}{6 c^{5}} - \frac{49 b e x}{60 c^{5}} - \frac{b d \operatorname{acoth}{\left(c x \right)}}{6 c^{6}} - \frac{b e \log{\left(- c^{2} x^{2} + 1 \right)} \operatorname{acoth}{\left(c x \right)}}{6 c^{6}} + \frac{49 b e \operatorname{acoth}{\left(c x \right)}}{60 c^{6}} & \text{for}\: c \neq 0 \\\frac{d x^{6} \left(a + \frac{i \pi b}{2}\right)}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**6/6 + a*e*x**6*log(-c**2*x**2 + 1)/6 - a*e*x**6/18 - a*e*x**4/(12*c**2) - a*e*x**2/(6*c**4) - a*e*log(-c**2*x**2 + 1)/(6*c**6) + b*d*x**6*acoth(c*x)/6 + b*e*x**6*log(-c**2*x**2 + 1)*acoth(c*x)/6 - b*e*x**6*acoth(c*x)/18 + b*d*x**5/(30*c) + b*e*x**5*log(-c**2*x**2 + 1)/(30*c) - 11*b*e*x**5/(450*c) - b*e*x**4*acoth(c*x)/(12*c**2) + b*d*x**3/(18*c**3) + b*e*x**3*log(-c**2*x**2 + 1)/(18*c**3) - 19*b*e*x**3/(180*c**3) - b*e*x**2*acoth(c*x)/(6*c**4) + b*d*x/(6*c**5) + b*e*x*log(-c**2*x**2 + 1)/(6*c**5) - 49*b*e*x/(60*c**5) - b*d*acoth(c*x)/(6*c**6) - b*e*log(-c**2*x**2 + 1)*acoth(c*x)/(6*c**6) + 49*b*e*acoth(c*x)/(60*c**6), Ne(c, 0)), (d*x**6*(a + I*pi*b/2)/6, True))","A",0
267,1,286,0,9.880617," ","integrate(x**3*(a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1)),x)","\begin{cases} \frac{a d x^{4}}{4} + \frac{a e x^{4} \log{\left(- c^{2} x^{2} + 1 \right)}}{4} - \frac{a e x^{4}}{8} - \frac{a e x^{2}}{4 c^{2}} - \frac{a e \log{\left(- c^{2} x^{2} + 1 \right)}}{4 c^{4}} + \frac{b d x^{4} \operatorname{acoth}{\left(c x \right)}}{4} + \frac{b e x^{4} \log{\left(- c^{2} x^{2} + 1 \right)} \operatorname{acoth}{\left(c x \right)}}{4} - \frac{b e x^{4} \operatorname{acoth}{\left(c x \right)}}{8} + \frac{b d x^{3}}{12 c} + \frac{b e x^{3} \log{\left(- c^{2} x^{2} + 1 \right)}}{12 c} - \frac{7 b e x^{3}}{72 c} - \frac{b e x^{2} \operatorname{acoth}{\left(c x \right)}}{4 c^{2}} + \frac{b d x}{4 c^{3}} + \frac{b e x \log{\left(- c^{2} x^{2} + 1 \right)}}{4 c^{3}} - \frac{25 b e x}{24 c^{3}} - \frac{b d \operatorname{acoth}{\left(c x \right)}}{4 c^{4}} - \frac{b e \log{\left(- c^{2} x^{2} + 1 \right)} \operatorname{acoth}{\left(c x \right)}}{4 c^{4}} + \frac{25 b e \operatorname{acoth}{\left(c x \right)}}{24 c^{4}} & \text{for}\: c \neq 0 \\\frac{d x^{4} \left(a + \frac{i \pi b}{2}\right)}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**4/4 + a*e*x**4*log(-c**2*x**2 + 1)/4 - a*e*x**4/8 - a*e*x**2/(4*c**2) - a*e*log(-c**2*x**2 + 1)/(4*c**4) + b*d*x**4*acoth(c*x)/4 + b*e*x**4*log(-c**2*x**2 + 1)*acoth(c*x)/4 - b*e*x**4*acoth(c*x)/8 + b*d*x**3/(12*c) + b*e*x**3*log(-c**2*x**2 + 1)/(12*c) - 7*b*e*x**3/(72*c) - b*e*x**2*acoth(c*x)/(4*c**2) + b*d*x/(4*c**3) + b*e*x*log(-c**2*x**2 + 1)/(4*c**3) - 25*b*e*x/(24*c**3) - b*d*acoth(c*x)/(4*c**4) - b*e*log(-c**2*x**2 + 1)*acoth(c*x)/(4*c**4) + 25*b*e*acoth(c*x)/(24*c**4), Ne(c, 0)), (d*x**4*(a + I*pi*b/2)/4, True))","A",0
268,1,209,0,3.928860," ","integrate(x*(a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1)),x)","\begin{cases} \frac{a d x^{2}}{2} + \frac{a e x^{2} \log{\left(- c^{2} x^{2} + 1 \right)}}{2} - \frac{a e x^{2}}{2} - \frac{a e \log{\left(- c^{2} x^{2} + 1 \right)}}{2 c^{2}} + \frac{b d x^{2} \operatorname{acoth}{\left(c x \right)}}{2} + \frac{b e x^{2} \log{\left(- c^{2} x^{2} + 1 \right)} \operatorname{acoth}{\left(c x \right)}}{2} - \frac{b e x^{2} \operatorname{acoth}{\left(c x \right)}}{2} + \frac{b d x}{2 c} + \frac{b e x \log{\left(- c^{2} x^{2} + 1 \right)}}{2 c} - \frac{3 b e x}{2 c} - \frac{b d \operatorname{acoth}{\left(c x \right)}}{2 c^{2}} - \frac{b e \log{\left(- c^{2} x^{2} + 1 \right)} \operatorname{acoth}{\left(c x \right)}}{2 c^{2}} + \frac{3 b e \operatorname{acoth}{\left(c x \right)}}{2 c^{2}} & \text{for}\: c \neq 0 \\\frac{d x^{2} \left(a + \frac{i \pi b}{2}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**2/2 + a*e*x**2*log(-c**2*x**2 + 1)/2 - a*e*x**2/2 - a*e*log(-c**2*x**2 + 1)/(2*c**2) + b*d*x**2*acoth(c*x)/2 + b*e*x**2*log(-c**2*x**2 + 1)*acoth(c*x)/2 - b*e*x**2*acoth(c*x)/2 + b*d*x/(2*c) + b*e*x*log(-c**2*x**2 + 1)/(2*c) - 3*b*e*x/(2*c) - b*d*acoth(c*x)/(2*c**2) - b*e*log(-c**2*x**2 + 1)*acoth(c*x)/(2*c**2) + 3*b*e*acoth(c*x)/(2*c**2), Ne(c, 0)), (d*x**2*(a + I*pi*b/2)/2, True))","A",0
269,0,0,0,0.000000," ","integrate((a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1))/x,x)","\int \frac{\left(a + b \operatorname{acoth}{\left(c x \right)}\right) \left(d + e \log{\left(- c^{2} x^{2} + 1 \right)}\right)}{x}\, dx"," ",0,"Integral((a + b*acoth(c*x))*(d + e*log(-c**2*x**2 + 1))/x, x)","F",0
270,0,0,0,0.000000," ","integrate((a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1))/x**3,x)","\int \frac{\left(a + b \operatorname{acoth}{\left(c x \right)}\right) \left(d + e \log{\left(- c^{2} x^{2} + 1 \right)}\right)}{x^{3}}\, dx"," ",0,"Integral((a + b*acoth(c*x))*(d + e*log(-c**2*x**2 + 1))/x**3, x)","F",0
271,0,0,0,0.000000," ","integrate((a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1))/x**5,x)","\int \frac{\left(a + b \operatorname{acoth}{\left(c x \right)}\right) \left(d + e \log{\left(- c^{2} x^{2} + 1 \right)}\right)}{x^{5}}\, dx"," ",0,"Integral((a + b*acoth(c*x))*(d + e*log(-c**2*x**2 + 1))/x**5, x)","F",0
272,1,345,0,15.300708," ","integrate(x**4*(a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1)),x)","\begin{cases} \frac{a d x^{5}}{5} + \frac{a e x^{5} \log{\left(- c^{2} x^{2} + 1 \right)}}{5} - \frac{2 a e x^{5}}{25} - \frac{2 a e x^{3}}{15 c^{2}} - \frac{2 a e x}{5 c^{4}} + \frac{2 a e \operatorname{acoth}{\left(c x \right)}}{5 c^{5}} + \frac{b d x^{5} \operatorname{acoth}{\left(c x \right)}}{5} + \frac{b e x^{5} \log{\left(- c^{2} x^{2} + 1 \right)} \operatorname{acoth}{\left(c x \right)}}{5} - \frac{2 b e x^{5} \operatorname{acoth}{\left(c x \right)}}{25} + \frac{b d x^{4}}{20 c} + \frac{b e x^{4} \log{\left(- c^{2} x^{2} + 1 \right)}}{20 c} - \frac{9 b e x^{4}}{200 c} - \frac{2 b e x^{3} \operatorname{acoth}{\left(c x \right)}}{15 c^{2}} + \frac{b d x^{2}}{10 c^{3}} + \frac{b e x^{2} \log{\left(- c^{2} x^{2} + 1 \right)}}{10 c^{3}} - \frac{77 b e x^{2}}{300 c^{3}} - \frac{2 b e x \operatorname{acoth}{\left(c x \right)}}{5 c^{4}} + \frac{b d \log{\left(- c^{2} x^{2} + 1 \right)}}{10 c^{5}} + \frac{b e \log{\left(- c^{2} x^{2} + 1 \right)}^{2}}{20 c^{5}} - \frac{137 b e \log{\left(- c^{2} x^{2} + 1 \right)}}{300 c^{5}} + \frac{b e \operatorname{acoth}^{2}{\left(c x \right)}}{5 c^{5}} & \text{for}\: c \neq 0 \\\frac{d x^{5} \left(a + \frac{i \pi b}{2}\right)}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**5/5 + a*e*x**5*log(-c**2*x**2 + 1)/5 - 2*a*e*x**5/25 - 2*a*e*x**3/(15*c**2) - 2*a*e*x/(5*c**4) + 2*a*e*acoth(c*x)/(5*c**5) + b*d*x**5*acoth(c*x)/5 + b*e*x**5*log(-c**2*x**2 + 1)*acoth(c*x)/5 - 2*b*e*x**5*acoth(c*x)/25 + b*d*x**4/(20*c) + b*e*x**4*log(-c**2*x**2 + 1)/(20*c) - 9*b*e*x**4/(200*c) - 2*b*e*x**3*acoth(c*x)/(15*c**2) + b*d*x**2/(10*c**3) + b*e*x**2*log(-c**2*x**2 + 1)/(10*c**3) - 77*b*e*x**2/(300*c**3) - 2*b*e*x*acoth(c*x)/(5*c**4) + b*d*log(-c**2*x**2 + 1)/(10*c**5) + b*e*log(-c**2*x**2 + 1)**2/(20*c**5) - 137*b*e*log(-c**2*x**2 + 1)/(300*c**5) + b*e*acoth(c*x)**2/(5*c**5), Ne(c, 0)), (d*x**5*(a + I*pi*b/2)/5, True))","A",0
273,1,265,0,6.777641," ","integrate(x**2*(a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1)),x)","\begin{cases} \frac{a d x^{3}}{3} + \frac{a e x^{3} \log{\left(- c^{2} x^{2} + 1 \right)}}{3} - \frac{2 a e x^{3}}{9} - \frac{2 a e x}{3 c^{2}} + \frac{2 a e \operatorname{acoth}{\left(c x \right)}}{3 c^{3}} + \frac{b d x^{3} \operatorname{acoth}{\left(c x \right)}}{3} + \frac{b e x^{3} \log{\left(- c^{2} x^{2} + 1 \right)} \operatorname{acoth}{\left(c x \right)}}{3} - \frac{2 b e x^{3} \operatorname{acoth}{\left(c x \right)}}{9} + \frac{b d x^{2}}{6 c} + \frac{b e x^{2} \log{\left(- c^{2} x^{2} + 1 \right)}}{6 c} - \frac{5 b e x^{2}}{18 c} - \frac{2 b e x \operatorname{acoth}{\left(c x \right)}}{3 c^{2}} + \frac{b d \log{\left(- c^{2} x^{2} + 1 \right)}}{6 c^{3}} + \frac{b e \log{\left(- c^{2} x^{2} + 1 \right)}^{2}}{12 c^{3}} - \frac{11 b e \log{\left(- c^{2} x^{2} + 1 \right)}}{18 c^{3}} + \frac{b e \operatorname{acoth}^{2}{\left(c x \right)}}{3 c^{3}} & \text{for}\: c \neq 0 \\\frac{d x^{3} \left(a + \frac{i \pi b}{2}\right)}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**3/3 + a*e*x**3*log(-c**2*x**2 + 1)/3 - 2*a*e*x**3/9 - 2*a*e*x/(3*c**2) + 2*a*e*acoth(c*x)/(3*c**3) + b*d*x**3*acoth(c*x)/3 + b*e*x**3*log(-c**2*x**2 + 1)*acoth(c*x)/3 - 2*b*e*x**3*acoth(c*x)/9 + b*d*x**2/(6*c) + b*e*x**2*log(-c**2*x**2 + 1)/(6*c) - 5*b*e*x**2/(18*c) - 2*b*e*x*acoth(c*x)/(3*c**2) + b*d*log(-c**2*x**2 + 1)/(6*c**3) + b*e*log(-c**2*x**2 + 1)**2/(12*c**3) - 11*b*e*log(-c**2*x**2 + 1)/(18*c**3) + b*e*acoth(c*x)**2/(3*c**3), Ne(c, 0)), (d*x**3*(a + I*pi*b/2)/3, True))","A",0
274,1,155,0,2.302611," ","integrate((a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1)),x)","\begin{cases} a d x + a e x \log{\left(- c^{2} x^{2} + 1 \right)} - 2 a e x + \frac{2 a e \operatorname{acoth}{\left(c x \right)}}{c} + b d x \operatorname{acoth}{\left(c x \right)} + b e x \log{\left(- c^{2} x^{2} + 1 \right)} \operatorname{acoth}{\left(c x \right)} - 2 b e x \operatorname{acoth}{\left(c x \right)} + \frac{b d \log{\left(- c^{2} x^{2} + 1 \right)}}{2 c} + \frac{b e \log{\left(- c^{2} x^{2} + 1 \right)}^{2}}{4 c} - \frac{b e \log{\left(- c^{2} x^{2} + 1 \right)}}{c} + \frac{b e \operatorname{acoth}^{2}{\left(c x \right)}}{c} & \text{for}\: c \neq 0 \\d x \left(a + \frac{i \pi b}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x + a*e*x*log(-c**2*x**2 + 1) - 2*a*e*x + 2*a*e*acoth(c*x)/c + b*d*x*acoth(c*x) + b*e*x*log(-c**2*x**2 + 1)*acoth(c*x) - 2*b*e*x*acoth(c*x) + b*d*log(-c**2*x**2 + 1)/(2*c) + b*e*log(-c**2*x**2 + 1)**2/(4*c) - b*e*log(-c**2*x**2 + 1)/c + b*e*acoth(c*x)**2/c, Ne(c, 0)), (d*x*(a + I*pi*b/2), True))","A",0
275,0,0,0,0.000000," ","integrate((a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1))/x**2,x)","\int \frac{\left(a + b \operatorname{acoth}{\left(c x \right)}\right) \left(d + e \log{\left(- c^{2} x^{2} + 1 \right)}\right)}{x^{2}}\, dx"," ",0,"Integral((a + b*acoth(c*x))*(d + e*log(-c**2*x**2 + 1))/x**2, x)","F",0
276,0,0,0,0.000000," ","integrate((a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1))/x**4,x)","\int \frac{\left(a + b \operatorname{acoth}{\left(c x \right)}\right) \left(d + e \log{\left(- c^{2} x^{2} + 1 \right)}\right)}{x^{4}}\, dx"," ",0,"Integral((a + b*acoth(c*x))*(d + e*log(-c**2*x**2 + 1))/x**4, x)","F",0
277,0,0,0,0.000000," ","integrate((a+b*acoth(c*x))*(d+e*ln(-c**2*x**2+1))/x**6,x)","\int \frac{\left(a + b \operatorname{acoth}{\left(c x \right)}\right) \left(d + e \log{\left(- c^{2} x^{2} + 1 \right)}\right)}{x^{6}}\, dx"," ",0,"Integral((a + b*acoth(c*x))*(d + e*log(-c**2*x**2 + 1))/x**6, x)","F",0
278,-1,0,0,0.000000," ","integrate(x*(a+b*acoth(c*x))*(d+e*ln(g*x**2+f)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
279,-1,0,0,0.000000," ","integrate((a+b*acoth(c*x))*(d+e*ln(g*x**2+f)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
280,-1,0,0,0.000000," ","integrate((a+b*acoth(c*x))*(d+e*ln(g*x**2+f))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
281,-1,0,0,0.000000," ","integrate((a+b*acoth(c*x))*(d+e*ln(g*x**2+f))/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
282,-1,0,0,0.000000," ","integrate((a+b*acoth(c*x))*(d+e*ln(g*x**2+f))/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
283,0,0,0,0.000000," ","integrate(acoth(exp(x)),x)","\int \operatorname{acoth}{\left(e^{x} \right)}\, dx"," ",0,"Integral(acoth(exp(x)), x)","F",0
284,0,0,0,0.000000," ","integrate(x*acoth(exp(x)),x)","\int x \operatorname{acoth}{\left(e^{x} \right)}\, dx"," ",0,"Integral(x*acoth(exp(x)), x)","F",0
285,0,0,0,0.000000," ","integrate(x**2*acoth(exp(x)),x)","\int x^{2} \operatorname{acoth}{\left(e^{x} \right)}\, dx"," ",0,"Integral(x**2*acoth(exp(x)), x)","F",0
286,0,0,0,0.000000," ","integrate(acoth(exp(b*x+a)),x)","\int \operatorname{acoth}{\left(e^{a + b x} \right)}\, dx"," ",0,"Integral(acoth(exp(a + b*x)), x)","F",0
287,0,0,0,0.000000," ","integrate(x*acoth(exp(b*x+a)),x)","\int x \operatorname{acoth}{\left(e^{a} e^{b x} \right)}\, dx"," ",0,"Integral(x*acoth(exp(a)*exp(b*x)), x)","F",0
288,0,0,0,0.000000," ","integrate(x**2*acoth(exp(b*x+a)),x)","\int x^{2} \operatorname{acoth}{\left(e^{a} e^{b x} \right)}\, dx"," ",0,"Integral(x**2*acoth(exp(a)*exp(b*x)), x)","F",0
289,-1,0,0,0.000000," ","integrate(acoth(a+b*f**(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
290,-1,0,0,0.000000," ","integrate(x*acoth(a+b*f**(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
291,-1,0,0,0.000000," ","integrate(x**2*acoth(a+b*f**(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
292,1,14,0,0.567444," ","integrate(1/(-a*x**2+a)/(b-2*b*acoth(x)),x)","- \frac{\log{\left(\operatorname{acoth}{\left(x \right)} - \frac{1}{2} \right)}}{2 a b}"," ",0,"-log(acoth(x) - 1/2)/(2*a*b)","A",0
293,1,60,0,4.217320," ","integrate(x**3*acoth(b*x**4+a),x)","\begin{cases} \frac{a \operatorname{acoth}{\left(a + b x^{4} \right)}}{4 b} + \frac{x^{4} \operatorname{acoth}{\left(a + b x^{4} \right)}}{4} + \frac{\log{\left(a + b x^{4} + 1 \right)}}{4 b} - \frac{\operatorname{acoth}{\left(a + b x^{4} \right)}}{4 b} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{acoth}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*acoth(a + b*x**4)/(4*b) + x**4*acoth(a + b*x**4)/4 + log(a + b*x**4 + 1)/(4*b) - acoth(a + b*x**4)/(4*b), Ne(b, 0)), (x**4*acoth(a)/4, True))","A",0
294,-2,0,0,0.000000," ","integrate(x**(-1+n)*acoth(a+b*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
295,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*acoth(sinh(b*c*x+a*c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
296,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*acoth(cosh(b*c*x+a*c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
297,1,66,0,3.118223," ","integrate(exp(c*(b*x+a))*acoth(tanh(b*c*x+a*c)),x)","\begin{cases} \frac{i \pi x}{2} & \text{for}\: b = 0 \wedge c = 0 \\x e^{a c} \operatorname{acoth}{\left(\tanh{\left(a c \right)} \right)} & \text{for}\: b = 0 \\\frac{i \pi x}{2} & \text{for}\: c = 0 \\\frac{e^{a c} e^{b c x} \operatorname{acoth}{\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((I*pi*x/2, Eq(b, 0) & Eq(c, 0)), (x*exp(a*c)*acoth(tanh(a*c)), Eq(b, 0)), (I*pi*x/2, Eq(c, 0)), (exp(a*c)*exp(b*c*x)*acoth(tanh(a*c + b*c*x))/(b*c) - exp(a*c)*exp(b*c*x)/(b*c), True))","A",0
298,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*acoth(coth(b*c*x+a*c)),x)","e^{a c} \int e^{b c x} \operatorname{acoth}{\left(\coth{\left(a c + b c x \right)} \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*acoth(coth(a*c + b*c*x)), x)","F",0
299,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*acoth(sech(b*c*x+a*c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
300,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*acoth(csch(b*c*x+a*c)),x)","e^{a c} \int e^{b c x} \operatorname{acoth}{\left(\operatorname{csch}{\left(a c + b c x \right)} \right)}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)*acoth(csch(a*c + b*c*x)), x)","F",0
