1,0,0,0,0.000000," ","integrate((b*coth(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(7/2), x)","F",0
2,0,0,0,0.000000," ","integrate((b*coth(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(5/2), x)","F",0
3,0,0,0,0.000000," ","integrate((b*coth(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(3/2), x)","F",0
4,0,0,0,0.000000," ","integrate((b*coth(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \coth\left(d x + c\right)}\,{d x}"," ",0,"integrate(sqrt(b*coth(d*x + c)), x)","F",0
5,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \coth\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/sqrt(b*coth(d*x + c)), x)","F",0
6,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(-3/2), x)","F",0
7,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(-5/2), x)","F",0
8,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(-7/2), x)","F",0
9,0,0,0,0.000000," ","integrate((b*coth(d*x+c))^(4/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(4/3), x)","F",0
10,0,0,0,0.000000," ","integrate((b*coth(d*x+c))^(2/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(2/3), x)","F",0
11,0,0,0,0.000000," ","integrate((b*coth(d*x+c))^(1/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(1/3), x)","F",0
12,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c))^(1/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(-1/3), x)","F",0
13,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c))^(2/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(-2/3), x)","F",0
14,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c))^(4/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^(-4/3), x)","F",0
15,0,0,0,0.000000," ","integrate(coth(b*x+a)^n,x, algorithm=""maxima"")","\int \coth\left(b x + a\right)^{n}\,{d x}"," ",0,"integrate(coth(b*x + a)^n, x)","F",0
16,0,0,0,0.000000," ","integrate((b*coth(d*x+c))^n,x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)\right)^{n}\,{d x}"," ",0,"integrate((b*coth(d*x + c))^n, x)","F",0
17,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^2)^n,x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{2}\right)^{n}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^n, x)","F",0
18,1,97,0,0.466011," ","integrate((b*coth(d*x+c)^2)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(d x + c\right)} b^{\frac{3}{2}}}{d} - \frac{b^{\frac{3}{2}} \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{b^{\frac{3}{2}} \log\left(e^{\left(-d x - c\right)} - 1\right)}{d} - \frac{2 \, b^{\frac{3}{2}} e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}"," ",0,"-(d*x + c)*b^(3/2)/d - b^(3/2)*log(e^(-d*x - c) + 1)/d - b^(3/2)*log(e^(-d*x - c) - 1)/d - 2*b^(3/2)*e^(-2*d*x - 2*c)/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1))","A",0
19,1,54,0,0.468261," ","integrate((b*coth(d*x+c)^2)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(d x + c\right)} \sqrt{b}}{d} - \frac{\sqrt{b} \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} - \frac{\sqrt{b} \log\left(e^{\left(-d x - c\right)} - 1\right)}{d}"," ",0,"-(d*x + c)*sqrt(b)/d - sqrt(b)*log(e^(-d*x - c) + 1)/d - sqrt(b)*log(e^(-d*x - c) - 1)/d","A",0
20,1,34,0,0.434190," ","integrate(1/(b*coth(d*x+c)^2)^(1/2),x, algorithm=""maxima"")","-\frac{d x + c}{\sqrt{b} d} - \frac{\log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{\sqrt{b} d}"," ",0,"-(d*x + c)/(sqrt(b)*d) - log(e^(-2*d*x - 2*c) + 1)/(sqrt(b)*d)","A",0
21,1,84,0,0.429320," ","integrate(1/(b*coth(d*x+c)^2)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{b} e^{\left(-2 \, d x - 2 \, c\right)}}{{\left(2 \, b^{2} e^{\left(-2 \, d x - 2 \, c\right)} + b^{2} e^{\left(-4 \, d x - 4 \, c\right)} + b^{2}\right)} d} - \frac{d x + c}{b^{\frac{3}{2}} d} - \frac{\log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{b^{\frac{3}{2}} d}"," ",0,"-2*sqrt(b)*e^(-2*d*x - 2*c)/((2*b^2*e^(-2*d*x - 2*c) + b^2*e^(-4*d*x - 4*c) + b^2)*d) - (d*x + c)/(b^(3/2)*d) - log(e^(-2*d*x - 2*c) + 1)/(b^(3/2)*d)","A",0
22,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^2)^(4/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{2}\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(4/3), x)","F",0
23,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^2)^(2/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{2}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(2/3), x)","F",0
24,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^2)^(1/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{2}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(1/3), x)","F",0
25,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^2)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(-1/3), x)","F",0
26,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^2)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{2}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(-2/3), x)","F",0
27,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^2)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{2}\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(-4/3), x)","F",0
28,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^3)^n,x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{3}\right)^{n}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^3)^n, x)","F",0
29,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^3)^(3/2),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{3}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^3)^(3/2), x)","F",0
30,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^3)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \coth\left(d x + c\right)^{3}}\,{d x}"," ",0,"integrate(sqrt(b*coth(d*x + c)^3), x)","F",0
31,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \coth\left(d x + c\right)^{3}}}\,{d x}"," ",0,"integrate(1/sqrt(b*coth(d*x + c)^3), x)","F",0
32,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^3)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{3}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^3)^(-3/2), x)","F",0
33,1,87,0,0.416864," ","integrate((b*coth(d*x+c)^3)^(4/3),x, algorithm=""maxima"")","\frac{{\left(d x + c\right)} b^{\frac{4}{3}}}{d} - \frac{4 \, {\left(3 \, b^{\frac{4}{3}} e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, b^{\frac{4}{3}} e^{\left(-4 \, d x - 4 \, c\right)} - 2 \, b^{\frac{4}{3}}\right)}}{3 \, d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}"," ",0,"(d*x + c)*b^(4/3)/d - 4/3*(3*b^(4/3)*e^(-2*d*x - 2*c) - 3*b^(4/3)*e^(-4*d*x - 4*c) - 2*b^(4/3))/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1))","A",0
34,1,34,0,0.418259," ","integrate((b*coth(d*x+c)^3)^(2/3),x, algorithm=""maxima"")","\frac{{\left(d x + c\right)} b^{\frac{2}{3}}}{d} + \frac{2 \, b^{\frac{2}{3}}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"(d*x + c)*b^(2/3)/d + 2*b^(2/3)/(d*(e^(-2*d*x - 2*c) - 1))","A",0
35,1,51,0,0.513025," ","integrate((b*coth(d*x+c)^3)^(1/3),x, algorithm=""maxima"")","\frac{{\left(d x + c\right)} b^{\frac{1}{3}}}{d} + \frac{b^{\frac{1}{3}} \log\left(e^{\left(-d x - c\right)} + 1\right)}{d} + \frac{b^{\frac{1}{3}} \log\left(e^{\left(-d x - c\right)} - 1\right)}{d}"," ",0,"(d*x + c)*b^(1/3)/d + b^(1/3)*log(e^(-d*x - c) + 1)/d + b^(1/3)*log(e^(-d*x - c) - 1)/d","A",0
36,1,32,0,0.827005," ","integrate(1/(b*coth(d*x+c)^3)^(1/3),x, algorithm=""maxima"")","\frac{d x + c}{b^{\frac{1}{3}} d} + \frac{\log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{b^{\frac{1}{3}} d}"," ",0,"(d*x + c)/(b^(1/3)*d) + log(e^(-2*d*x - 2*c) + 1)/(b^(1/3)*d)","A",0
37,1,37,0,1.055415," ","integrate(1/(b*coth(d*x+c)^3)^(2/3),x, algorithm=""maxima"")","\frac{d x + c}{b^{\frac{2}{3}} d} - \frac{2}{{\left(b^{\frac{2}{3}} e^{\left(-2 \, d x - 2 \, c\right)} + b^{\frac{2}{3}}\right)} d}"," ",0,"(d*x + c)/(b^(2/3)*d) - 2/((b^(2/3)*e^(-2*d*x - 2*c) + b^(2/3))*d)","A",0
38,1,89,0,0.418692," ","integrate(1/(b*coth(d*x+c)^3)^(4/3),x, algorithm=""maxima"")","-\frac{4 \, {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + 2\right)}}{3 \, {\left(3 \, b^{\frac{4}{3}} e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, b^{\frac{4}{3}} e^{\left(-4 \, d x - 4 \, c\right)} + b^{\frac{4}{3}} e^{\left(-6 \, d x - 6 \, c\right)} + b^{\frac{4}{3}}\right)} d} + \frac{d x + c}{b^{\frac{4}{3}} d}"," ",0,"-4/3*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + 2)/((3*b^(4/3)*e^(-2*d*x - 2*c) + 3*b^(4/3)*e^(-4*d*x - 4*c) + b^(4/3)*e^(-6*d*x - 6*c) + b^(4/3))*d) + (d*x + c)/(b^(4/3)*d)","A",0
39,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^4)^n,x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{4}\right)^{n}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^n, x)","F",0
40,1,137,0,0.424570," ","integrate((b*coth(d*x+c)^4)^(3/2),x, algorithm=""maxima"")","\frac{{\left(d x + c\right)} b^{\frac{3}{2}}}{d} - \frac{2 \, {\left(70 \, b^{\frac{3}{2}} e^{\left(-2 \, d x - 2 \, c\right)} - 140 \, b^{\frac{3}{2}} e^{\left(-4 \, d x - 4 \, c\right)} + 90 \, b^{\frac{3}{2}} e^{\left(-6 \, d x - 6 \, c\right)} - 45 \, b^{\frac{3}{2}} e^{\left(-8 \, d x - 8 \, c\right)} - 23 \, b^{\frac{3}{2}}\right)}}{15 \, d {\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} - 10 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, e^{\left(-6 \, d x - 6 \, c\right)} - 5 \, e^{\left(-8 \, d x - 8 \, c\right)} + e^{\left(-10 \, d x - 10 \, c\right)} - 1\right)}}"," ",0,"(d*x + c)*b^(3/2)/d - 2/15*(70*b^(3/2)*e^(-2*d*x - 2*c) - 140*b^(3/2)*e^(-4*d*x - 4*c) + 90*b^(3/2)*e^(-6*d*x - 6*c) - 45*b^(3/2)*e^(-8*d*x - 8*c) - 23*b^(3/2))/(d*(5*e^(-2*d*x - 2*c) - 10*e^(-4*d*x - 4*c) + 10*e^(-6*d*x - 6*c) - 5*e^(-8*d*x - 8*c) + e^(-10*d*x - 10*c) - 1))","A",0
41,1,34,0,0.416396," ","integrate((b*coth(d*x+c)^4)^(1/2),x, algorithm=""maxima"")","\frac{{\left(d x + c\right)} \sqrt{b}}{d} + \frac{2 \, \sqrt{b}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}"," ",0,"(d*x + c)*sqrt(b)/d + 2*sqrt(b)/(d*(e^(-2*d*x - 2*c) - 1))","A",0
42,1,36,0,0.424217," ","integrate(1/(b*coth(d*x+c)^4)^(1/2),x, algorithm=""maxima"")","\frac{d x + c}{\sqrt{b} d} - \frac{2 \, \sqrt{b}}{{\left(b e^{\left(-2 \, d x - 2 \, c\right)} + b\right)} d}"," ",0,"(d*x + c)/(sqrt(b)*d) - 2*sqrt(b)/((b*e^(-2*d*x - 2*c) + b)*d)","A",0
43,1,155,0,0.449764," ","integrate(1/(b*coth(d*x+c)^4)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(70 \, \sqrt{b} e^{\left(-2 \, d x - 2 \, c\right)} + 140 \, \sqrt{b} e^{\left(-4 \, d x - 4 \, c\right)} + 90 \, \sqrt{b} e^{\left(-6 \, d x - 6 \, c\right)} + 45 \, \sqrt{b} e^{\left(-8 \, d x - 8 \, c\right)} + 23 \, \sqrt{b}\right)}}{15 \, {\left(5 \, b^{2} e^{\left(-2 \, d x - 2 \, c\right)} + 10 \, b^{2} e^{\left(-4 \, d x - 4 \, c\right)} + 10 \, b^{2} e^{\left(-6 \, d x - 6 \, c\right)} + 5 \, b^{2} e^{\left(-8 \, d x - 8 \, c\right)} + b^{2} e^{\left(-10 \, d x - 10 \, c\right)} + b^{2}\right)} d} + \frac{d x + c}{b^{\frac{3}{2}} d}"," ",0,"-2/15*(70*sqrt(b)*e^(-2*d*x - 2*c) + 140*sqrt(b)*e^(-4*d*x - 4*c) + 90*sqrt(b)*e^(-6*d*x - 6*c) + 45*sqrt(b)*e^(-8*d*x - 8*c) + 23*sqrt(b))/((5*b^2*e^(-2*d*x - 2*c) + 10*b^2*e^(-4*d*x - 4*c) + 10*b^2*e^(-6*d*x - 6*c) + 5*b^2*e^(-8*d*x - 8*c) + b^2*e^(-10*d*x - 10*c) + b^2)*d) + (d*x + c)/(b^(3/2)*d)","A",0
44,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^4)^(4/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{4}\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(4/3), x)","F",0
45,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^4)^(2/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{4}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(2/3), x)","F",0
46,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^4)^(1/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{4}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(1/3), x)","F",0
47,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^4)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{4}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(-1/3), x)","F",0
48,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^4)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{4}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(-2/3), x)","F",0
49,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^4)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{4}\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(-4/3), x)","F",0
50,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^n,x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{m}\right)^{n}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^n, x)","F",0
51,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^(3/2),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{m}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(3/2), x)","F",0
52,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \coth\left(d x + c\right)^{m}}\,{d x}"," ",0,"integrate(sqrt(b*coth(d*x + c)^m), x)","F",0
53,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^m)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \coth\left(d x + c\right)^{m}}}\,{d x}"," ",0,"integrate(1/sqrt(b*coth(d*x + c)^m), x)","F",0
54,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^m)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{m}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(-3/2), x)","F",0
55,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^(4/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{m}\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(4/3), x)","F",0
56,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^(2/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{m}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(2/3), x)","F",0
57,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^(1/3),x, algorithm=""maxima"")","\int \left(b \coth\left(d x + c\right)^{m}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(1/3), x)","F",0
58,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^m)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{m}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(-1/3), x)","F",0
59,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^m)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{m}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(-2/3), x)","F",0
60,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^m)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{m}\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(-4/3), x)","F",0
61,1,140,0,0.326044," ","integrate((1+coth(x))^5,x, algorithm=""maxima"")","27 \, x - \frac{20 \, {\left(3 \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-4 \, x\right)} - 2\right)}}{3 \, {\left(3 \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} - 1\right)}} + \frac{4 \, {\left(e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)}\right)}}{4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1} + \frac{20 \, e^{\left(-2 \, x\right)}}{2 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1} + \frac{20}{e^{\left(-2 \, x\right)} - 1} + 11 \, \log\left(e^{\left(-x\right)} + 1\right) + 11 \, \log\left(e^{\left(-x\right)} - 1\right) + 5 \, \log\left(\sinh\left(x\right)\right)"," ",0,"27*x - 20/3*(3*e^(-2*x) - 3*e^(-4*x) - 2)/(3*e^(-2*x) - 3*e^(-4*x) + e^(-6*x) - 1) + 4*(e^(-2*x) - e^(-4*x) + e^(-6*x))/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1) + 20*e^(-2*x)/(2*e^(-2*x) - e^(-4*x) - 1) + 20/(e^(-2*x) - 1) + 11*log(e^(-x) + 1) + 11*log(e^(-x) - 1) + 5*log(sinh(x))","B",0
62,1,95,0,0.321795," ","integrate((1+coth(x))^4,x, algorithm=""maxima"")","12 \, x - \frac{4 \, {\left(3 \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-4 \, x\right)} - 2\right)}}{3 \, {\left(3 \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} - 1\right)}} + \frac{8 \, e^{\left(-2 \, x\right)}}{2 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1} + \frac{12}{e^{\left(-2 \, x\right)} - 1} + 4 \, \log\left(e^{\left(-x\right)} + 1\right) + 4 \, \log\left(e^{\left(-x\right)} - 1\right) + 4 \, \log\left(\sinh\left(x\right)\right)"," ",0,"12*x - 4/3*(3*e^(-2*x) - 3*e^(-4*x) - 2)/(3*e^(-2*x) - 3*e^(-4*x) + e^(-6*x) - 1) + 8*e^(-2*x)/(2*e^(-2*x) - e^(-4*x) - 1) + 12/(e^(-2*x) - 1) + 4*log(e^(-x) + 1) + 4*log(e^(-x) - 1) + 4*log(sinh(x))","B",0
63,1,55,0,0.316289," ","integrate((1+coth(x))^3,x, algorithm=""maxima"")","5 \, x + \frac{2 \, e^{\left(-2 \, x\right)}}{2 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1} + \frac{6}{e^{\left(-2 \, x\right)} - 1} + \log\left(e^{\left(-x\right)} + 1\right) + \log\left(e^{\left(-x\right)} - 1\right) + 3 \, \log\left(\sinh\left(x\right)\right)"," ",0,"5*x + 2*e^(-2*x)/(2*e^(-2*x) - e^(-4*x) - 1) + 6/(e^(-2*x) - 1) + log(e^(-x) + 1) + log(e^(-x) - 1) + 3*log(sinh(x))","B",0
64,1,19,0,0.307944," ","integrate((1+coth(x))^2,x, algorithm=""maxima"")","2 \, x + \frac{2}{e^{\left(-2 \, x\right)} - 1} + 2 \, \log\left(\sinh\left(x\right)\right)"," ",0,"2*x + 2/(e^(-2*x) - 1) + 2*log(sinh(x))","A",0
65,1,10,0,0.307173," ","integrate(1/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{1}{4} \, e^{\left(-2 \, x\right)}"," ",0,"1/2*x + 1/4*e^(-2*x)","A",0
66,1,16,0,0.306625," ","integrate(1/(1+coth(x))^2,x, algorithm=""maxima"")","\frac{1}{4} \, x + \frac{1}{4} \, e^{\left(-2 \, x\right)} - \frac{1}{16} \, e^{\left(-4 \, x\right)}"," ",0,"1/4*x + 1/4*e^(-2*x) - 1/16*e^(-4*x)","A",0
67,1,22,0,0.306164," ","integrate(1/(1+coth(x))^3,x, algorithm=""maxima"")","\frac{1}{8} \, x + \frac{3}{16} \, e^{\left(-2 \, x\right)} - \frac{3}{32} \, e^{\left(-4 \, x\right)} + \frac{1}{48} \, e^{\left(-6 \, x\right)}"," ",0,"1/8*x + 3/16*e^(-2*x) - 3/32*e^(-4*x) + 1/48*e^(-6*x)","A",0
68,1,28,0,0.316797," ","integrate(1/(1+coth(x))^4,x, algorithm=""maxima"")","\frac{1}{16} \, x + \frac{1}{8} \, e^{\left(-2 \, x\right)} - \frac{3}{32} \, e^{\left(-4 \, x\right)} + \frac{1}{24} \, e^{\left(-6 \, x\right)} - \frac{1}{128} \, e^{\left(-8 \, x\right)}"," ",0,"1/16*x + 1/8*e^(-2*x) - 3/32*e^(-4*x) + 1/24*e^(-6*x) - 1/128*e^(-8*x)","A",0
69,1,34,0,0.320218," ","integrate(1/(1+coth(x))^5,x, algorithm=""maxima"")","\frac{1}{32} \, x + \frac{5}{64} \, e^{\left(-2 \, x\right)} - \frac{5}{64} \, e^{\left(-4 \, x\right)} + \frac{5}{96} \, e^{\left(-6 \, x\right)} - \frac{5}{256} \, e^{\left(-8 \, x\right)} + \frac{1}{320} \, e^{\left(-10 \, x\right)}"," ",0,"1/32*x + 5/64*e^(-2*x) - 5/64*e^(-4*x) + 5/96*e^(-6*x) - 5/256*e^(-8*x) + 1/320*e^(-10*x)","A",0
70,0,0,0,0.000000," ","integrate((1+coth(x))^(7/2),x, algorithm=""maxima"")","\int {\left(\coth\left(x\right) + 1\right)}^{\frac{7}{2}}\,{d x}"," ",0,"integrate((coth(x) + 1)^(7/2), x)","F",0
71,0,0,0,0.000000," ","integrate((1+coth(x))^(5/2),x, algorithm=""maxima"")","\int {\left(\coth\left(x\right) + 1\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((coth(x) + 1)^(5/2), x)","F",0
72,0,0,0,0.000000," ","integrate((1+coth(x))^(3/2),x, algorithm=""maxima"")","\int {\left(\coth\left(x\right) + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((coth(x) + 1)^(3/2), x)","F",0
73,0,0,0,0.000000," ","integrate((1+coth(x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\coth\left(x\right) + 1}\,{d x}"," ",0,"integrate(sqrt(coth(x) + 1), x)","F",0
74,0,0,0,0.000000," ","integrate(1/(1+coth(x))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\coth\left(x\right) + 1}}\,{d x}"," ",0,"integrate(1/sqrt(coth(x) + 1), x)","F",0
75,0,0,0,0.000000," ","integrate(1/(1+coth(x))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(\coth\left(x\right) + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((coth(x) + 1)^(-3/2), x)","F",0
76,0,0,0,0.000000," ","integrate(1/(1+coth(x))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(\coth\left(x\right) + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((coth(x) + 1)^(-5/2), x)","F",0
77,1,348,0,0.331184," ","integrate((a+b*coth(d*x+c))^5,x, algorithm=""maxima"")","\frac{5}{3} \, a b^{4} {\left(3 \, x + \frac{3 \, c}{d} - \frac{4 \, {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} - 2\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)} + b^{5} {\left(x + \frac{c}{d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{4 \, {\left(e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)}\right)}}{d {\left(4 \, e^{\left(-2 \, d x - 2 \, c\right)} - 6 \, e^{\left(-4 \, d x - 4 \, c\right)} + 4 \, e^{\left(-6 \, d x - 6 \, c\right)} - e^{\left(-8 \, d x - 8 \, c\right)} - 1\right)}}\right)} + 10 \, a^{2} b^{3} {\left(x + \frac{c}{d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)} + 10 \, a^{3} b^{2} {\left(x + \frac{c}{d} + \frac{2}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}\right)} + a^{5} x + \frac{5 \, a^{4} b \log\left(\sinh\left(d x + c\right)\right)}{d}"," ",0,"5/3*a*b^4*(3*x + 3*c/d - 4*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) - 2)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1))) + b^5*(x + c/d + log(e^(-d*x - c) + 1)/d + log(e^(-d*x - c) - 1)/d + 4*(e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c))/(d*(4*e^(-2*d*x - 2*c) - 6*e^(-4*d*x - 4*c) + 4*e^(-6*d*x - 6*c) - e^(-8*d*x - 8*c) - 1))) + 10*a^2*b^3*(x + c/d + log(e^(-d*x - c) + 1)/d + log(e^(-d*x - c) - 1)/d + 2*e^(-2*d*x - 2*c)/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1))) + 10*a^3*b^2*(x + c/d + 2/(d*(e^(-2*d*x - 2*c) - 1))) + a^5*x + 5*a^4*b*log(sinh(d*x + c))/d","B",0
78,1,219,0,0.333487," ","integrate((a+b*coth(d*x+c))^4,x, algorithm=""maxima"")","\frac{1}{3} \, b^{4} {\left(3 \, x + \frac{3 \, c}{d} - \frac{4 \, {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} - 2\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} - 1\right)}}\right)} + 4 \, a b^{3} {\left(x + \frac{c}{d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)} + 6 \, a^{2} b^{2} {\left(x + \frac{c}{d} + \frac{2}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}\right)} + a^{4} x + \frac{4 \, a^{3} b \log\left(\sinh\left(d x + c\right)\right)}{d}"," ",0,"1/3*b^4*(3*x + 3*c/d - 4*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) - 2)/(d*(3*e^(-2*d*x - 2*c) - 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) - 1))) + 4*a*b^3*(x + c/d + log(e^(-d*x - c) + 1)/d + log(e^(-d*x - c) - 1)/d + 2*e^(-2*d*x - 2*c)/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1))) + 6*a^2*b^2*(x + c/d + 2/(d*(e^(-2*d*x - 2*c) - 1))) + a^4*x + 4*a^3*b*log(sinh(d*x + c))/d","B",0
79,1,136,0,0.324501," ","integrate((a+b*coth(d*x+c))^3,x, algorithm=""maxima"")","b^{3} {\left(x + \frac{c}{d} + \frac{\log\left(e^{\left(-d x - c\right)} + 1\right)}{d} + \frac{\log\left(e^{\left(-d x - c\right)} - 1\right)}{d} + \frac{2 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} - e^{\left(-4 \, d x - 4 \, c\right)} - 1\right)}}\right)} + 3 \, a b^{2} {\left(x + \frac{c}{d} + \frac{2}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}\right)} + a^{3} x + \frac{3 \, a^{2} b \log\left(\sinh\left(d x + c\right)\right)}{d}"," ",0,"b^3*(x + c/d + log(e^(-d*x - c) + 1)/d + log(e^(-d*x - c) - 1)/d + 2*e^(-2*d*x - 2*c)/(d*(2*e^(-2*d*x - 2*c) - e^(-4*d*x - 4*c) - 1))) + 3*a*b^2*(x + c/d + 2/(d*(e^(-2*d*x - 2*c) - 1))) + a^3*x + 3*a^2*b*log(sinh(d*x + c))/d","B",0
80,1,49,0,0.305385," ","integrate((a+b*coth(d*x+c))^2,x, algorithm=""maxima"")","b^{2} {\left(x + \frac{c}{d} + \frac{2}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} - 1\right)}}\right)} + a^{2} x + \frac{2 \, a b \log\left(\sinh\left(d x + c\right)\right)}{d}"," ",0,"b^2*(x + c/d + 2/(d*(e^(-2*d*x - 2*c) - 1))) + a^2*x + 2*a*b*log(sinh(d*x + c))/d","A",0
81,1,52,0,0.354089," ","integrate(1/(a+b*coth(d*x+c)),x, algorithm=""maxima"")","-\frac{b \log\left(-{\left(a - b\right)} e^{\left(-2 \, d x - 2 \, c\right)} + a + b\right)}{{\left(a^{2} - b^{2}\right)} d} + \frac{d x + c}{{\left(a + b\right)} d}"," ",0,"-b*log(-(a - b)*e^(-2*d*x - 2*c) + a + b)/((a^2 - b^2)*d) + (d*x + c)/((a + b)*d)","A",0
82,1,124,0,0.325977," ","integrate(1/(a+b*coth(d*x+c))^2,x, algorithm=""maxima"")","-\frac{2 \, a b \log\left(-{\left(a - b\right)} e^{\left(-2 \, d x - 2 \, c\right)} + a + b\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} d} - \frac{2 \, b^{2}}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} - {\left(a^{4} - 2 \, a^{3} b + 2 \, a b^{3} - b^{4}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d} + \frac{d x + c}{{\left(a^{2} + 2 \, a b + b^{2}\right)} d}"," ",0,"-2*a*b*log(-(a - b)*e^(-2*d*x - 2*c) + a + b)/((a^4 - 2*a^2*b^2 + b^4)*d) - 2*b^2/((a^4 - 2*a^2*b^2 + b^4 - (a^4 - 2*a^3*b + 2*a*b^3 - b^4)*e^(-2*d*x - 2*c))*d) + (d*x + c)/((a^2 + 2*a*b + b^2)*d)","A",0
83,1,322,0,0.341573," ","integrate(1/(a+b*coth(d*x+c))^3,x, algorithm=""maxima"")","-\frac{{\left(3 \, a^{2} b + b^{3}\right)} \log\left(-{\left(a - b\right)} e^{\left(-2 \, d x - 2 \, c\right)} + a + b\right)}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} d} - \frac{2 \, {\left(3 \, a^{2} b^{2} + 3 \, a b^{3} - {\left(3 \, a^{2} b^{2} - 2 \, a b^{3} - b^{4}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)}}{{\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7} - 2 \, {\left(a^{7} - a^{6} b - 3 \, a^{5} b^{2} + 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} - 3 \, a^{2} b^{5} - a b^{6} + b^{7}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + {\left(a^{7} - 3 \, a^{6} b + a^{5} b^{2} + 5 \, a^{4} b^{3} - 5 \, a^{3} b^{4} - a^{2} b^{5} + 3 \, a b^{6} - b^{7}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d} + \frac{d x + c}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} d}"," ",0,"-(3*a^2*b + b^3)*log(-(a - b)*e^(-2*d*x - 2*c) + a + b)/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*d) - 2*(3*a^2*b^2 + 3*a*b^3 - (3*a^2*b^2 - 2*a*b^3 - b^4)*e^(-2*d*x - 2*c))/((a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7 - 2*(a^7 - a^6*b - 3*a^5*b^2 + 3*a^4*b^3 + 3*a^3*b^4 - 3*a^2*b^5 - a*b^6 + b^7)*e^(-2*d*x - 2*c) + (a^7 - 3*a^6*b + a^5*b^2 + 5*a^4*b^3 - 5*a^3*b^4 - a^2*b^5 + 3*a*b^6 - b^7)*e^(-4*d*x - 4*c))*d) + (d*x + c)/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*d)","B",0
84,1,522,0,0.373347," ","integrate(1/(a+b*coth(d*x+c))^4,x, algorithm=""maxima"")","-\frac{4 \, {\left(a^{3} b + a b^{3}\right)} \log\left(-{\left(a - b\right)} e^{\left(-2 \, d x - 2 \, c\right)} + a + b\right)}{{\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} d} - \frac{4 \, {\left(9 \, a^{4} b^{2} + 18 \, a^{3} b^{3} + 11 \, a^{2} b^{4} + 4 \, a b^{5} + 2 \, b^{6} - 3 \, {\left(6 \, a^{4} b^{2} + 2 \, a^{3} b^{3} - 5 \, a^{2} b^{4} - 2 \, a b^{5} - b^{6}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, {\left(3 \, a^{4} b^{2} - 4 \, a^{3} b^{3} + b^{6}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)}}{3 \, {\left(a^{10} + 2 \, a^{9} b - 3 \, a^{8} b^{2} - 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} + 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 2 \, a b^{9} + b^{10} - 3 \, {\left(a^{10} - 5 \, a^{8} b^{2} + 10 \, a^{6} b^{4} - 10 \, a^{4} b^{6} + 5 \, a^{2} b^{8} - b^{10}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, {\left(a^{10} - 2 \, a^{9} b - 3 \, a^{8} b^{2} + 8 \, a^{7} b^{3} + 2 \, a^{6} b^{4} - 12 \, a^{5} b^{5} + 2 \, a^{4} b^{6} + 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} - 2 \, a b^{9} + b^{10}\right)} e^{\left(-4 \, d x - 4 \, c\right)} - {\left(a^{10} - 4 \, a^{9} b + 3 \, a^{8} b^{2} + 8 \, a^{7} b^{3} - 14 \, a^{6} b^{4} + 14 \, a^{4} b^{6} - 8 \, a^{3} b^{7} - 3 \, a^{2} b^{8} + 4 \, a b^{9} - b^{10}\right)} e^{\left(-6 \, d x - 6 \, c\right)}\right)} d} + \frac{d x + c}{{\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)} d}"," ",0,"-4*(a^3*b + a*b^3)*log(-(a - b)*e^(-2*d*x - 2*c) + a + b)/((a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*d) - 4/3*(9*a^4*b^2 + 18*a^3*b^3 + 11*a^2*b^4 + 4*a*b^5 + 2*b^6 - 3*(6*a^4*b^2 + 2*a^3*b^3 - 5*a^2*b^4 - 2*a*b^5 - b^6)*e^(-2*d*x - 2*c) + 3*(3*a^4*b^2 - 4*a^3*b^3 + b^6)*e^(-4*d*x - 4*c))/((a^10 + 2*a^9*b - 3*a^8*b^2 - 8*a^7*b^3 + 2*a^6*b^4 + 12*a^5*b^5 + 2*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 2*a*b^9 + b^10 - 3*(a^10 - 5*a^8*b^2 + 10*a^6*b^4 - 10*a^4*b^6 + 5*a^2*b^8 - b^10)*e^(-2*d*x - 2*c) + 3*(a^10 - 2*a^9*b - 3*a^8*b^2 + 8*a^7*b^3 + 2*a^6*b^4 - 12*a^5*b^5 + 2*a^4*b^6 + 8*a^3*b^7 - 3*a^2*b^8 - 2*a*b^9 + b^10)*e^(-4*d*x - 4*c) - (a^10 - 4*a^9*b + 3*a^8*b^2 + 8*a^7*b^3 - 14*a^6*b^4 + 14*a^4*b^6 - 8*a^3*b^7 - 3*a^2*b^8 + 4*a*b^9 - b^10)*e^(-6*d*x - 6*c))*d) + (d*x + c)/((a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4)*d)","B",0
85,1,28,0,0.311136," ","integrate(1/(4+6*coth(d*x+c)),x, algorithm=""maxima"")","\frac{d x + c}{10 \, d} + \frac{3 \, \log\left(e^{\left(-2 \, d x - 2 \, c\right)} + 5\right)}{10 \, d}"," ",0,"1/10*(d*x + c)/d + 3/10*log(e^(-2*d*x - 2*c) + 5)/d","A",0
86,1,29,0,0.301604," ","integrate(1/(4-6*coth(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, x - \frac{c}{2 \, d} - \frac{3 \, \log\left(5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}{10 \, d}"," ",0,"-1/2*x - 1/2*c/d - 3/10*log(5*e^(-2*d*x - 2*c) + 1)/d","A",0
87,0,0,0,0.000000," ","integrate((a+b*coth(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \coth\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*coth(d*x + c) + a), x)","F",0
88,0,0,0,0.000000," ","integrate(1/(a+b*coth(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \coth\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*coth(d*x + c) + a), x)","F",0
89,1,36,0,0.318214," ","integrate(sinh(x)^4/(1+coth(x)),x, algorithm=""maxima"")","-\frac{1}{128} \, {\left(10 \, e^{\left(-2 \, x\right)} - 1\right)} e^{\left(4 \, x\right)} + \frac{5}{16} \, x + \frac{5}{32} \, e^{\left(-2 \, x\right)} - \frac{5}{128} \, e^{\left(-4 \, x\right)} + \frac{1}{192} \, e^{\left(-6 \, x\right)}"," ",0,"-1/128*(10*e^(-2*x) - 1)*e^(4*x) + 5/16*x + 5/32*e^(-2*x) - 5/128*e^(-4*x) + 1/192*e^(-6*x)","A",0
90,1,33,0,0.314117," ","integrate(sinh(x)^3/(1+coth(x)),x, algorithm=""maxima"")","-\frac{1}{48} \, {\left(12 \, e^{\left(-2 \, x\right)} - 1\right)} e^{\left(3 \, x\right)} - \frac{3}{8} \, e^{\left(-x\right)} + \frac{1}{12} \, e^{\left(-3 \, x\right)} - \frac{1}{80} \, e^{\left(-5 \, x\right)}"," ",0,"-1/48*(12*e^(-2*x) - 1)*e^(3*x) - 3/8*e^(-x) + 1/12*e^(-3*x) - 1/80*e^(-5*x)","A",0
91,1,22,0,0.305728," ","integrate(sinh(x)^2/(1+coth(x)),x, algorithm=""maxima"")","-\frac{3}{8} \, x + \frac{1}{16} \, e^{\left(2 \, x\right)} - \frac{3}{16} \, e^{\left(-2 \, x\right)} + \frac{1}{32} \, e^{\left(-4 \, x\right)}"," ",0,"-3/8*x + 1/16*e^(2*x) - 3/16*e^(-2*x) + 1/32*e^(-4*x)","A",0
92,1,17,0,0.306246," ","integrate(sinh(x)/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{2} \, e^{\left(-x\right)} - \frac{1}{12} \, e^{\left(-3 \, x\right)} + \frac{1}{4} \, e^{x}"," ",0,"1/2*e^(-x) - 1/12*e^(-3*x) + 1/4*e^x","A",0
93,1,6,0,0.301504," ","integrate(csch(x)/(1+coth(x)),x, algorithm=""maxima"")","-e^{\left(-x\right)}"," ",0,"-e^(-x)","A",0
94,1,7,0,0.301873," ","integrate(csch(x)^2/(1+coth(x)),x, algorithm=""maxima"")","-\log\left(\coth\left(x\right) + 1\right)"," ",0,"-log(coth(x) + 1)","A",0
95,1,31,0,0.303643," ","integrate(csch(x)^3/(1+coth(x)),x, algorithm=""maxima"")","\frac{2 \, e^{\left(-x\right)}}{e^{\left(-2 \, x\right)} - 1} + \log\left(e^{\left(-x\right)} + 1\right) - \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"2*e^(-x)/(e^(-2*x) - 1) + log(e^(-x) + 1) - log(e^(-x) - 1)","B",0
96,1,41,0,0.303906," ","integrate(csch(x)^4/(1+coth(x)),x, algorithm=""maxima"")","\frac{4 \, e^{\left(-2 \, x\right)}}{2 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1} - \frac{2}{2 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1}"," ",0,"4*e^(-2*x)/(2*e^(-2*x) - e^(-4*x) - 1) - 2/(2*e^(-2*x) - e^(-4*x) - 1)","B",0
97,1,166,0,0.320338," ","integrate(sinh(x)^4/(a+b*coth(x)),x, algorithm=""maxima"")","-\frac{b^{5} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}} + \frac{{\left(3 \, a^{2} + 9 \, a b + 8 \, b^{2}\right)} x}{8 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}} - \frac{{\left(4 \, {\left(2 \, a + 3 \, b\right)} e^{\left(-2 \, x\right)} - a - b\right)} e^{\left(4 \, x\right)}}{64 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} + \frac{4 \, {\left(2 \, a - 3 \, b\right)} e^{\left(-2 \, x\right)} - {\left(a - b\right)} e^{\left(-4 \, x\right)}}{64 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}}"," ",0,"-b^5*log(-(a - b)*e^(-2*x) + a + b)/(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6) + 1/8*(3*a^2 + 9*a*b + 8*b^2)*x/(a^3 + 3*a^2*b + 3*a*b^2 + b^3) - 1/64*(4*(2*a + 3*b)*e^(-2*x) - a - b)*e^(4*x)/(a^2 + 2*a*b + b^2) + 1/64*(4*(2*a - 3*b)*e^(-2*x) - (a - b)*e^(-4*x))/(a^2 - 2*a*b + b^2)","A",0
98,-2,0,0,0.000000," ","integrate(sinh(x)^3/(a+b*coth(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
99,1,83,0,0.329017," ","integrate(sinh(x)^2/(a+b*coth(x)),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4}} - \frac{{\left(a + 2 \, b\right)} x}{2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} + \frac{e^{\left(2 \, x\right)}}{8 \, {\left(a + b\right)}} - \frac{e^{\left(-2 \, x\right)}}{8 \, {\left(a - b\right)}}"," ",0,"-b^3*log(-(a - b)*e^(-2*x) + a + b)/(a^4 - 2*a^2*b^2 + b^4) - 1/2*(a + 2*b)*x/(a^2 + 2*a*b + b^2) + 1/8*e^(2*x)/(a + b) - 1/8*e^(-2*x)/(a - b)","A",0
100,-2,0,0,0.000000," ","integrate(sinh(x)/(a+b*coth(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
101,-2,0,0,0.000000," ","integrate(csch(x)/(a+b*coth(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
102,1,12,0,0.309947," ","integrate(csch(x)^2/(a+b*coth(x)),x, algorithm=""maxima"")","-\frac{\log\left(b \coth\left(x\right) + a\right)}{b}"," ",0,"-log(b*coth(x) + a)/b","A",0
103,-2,0,0,0.000000," ","integrate(csch(x)^3/(a+b*coth(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
104,1,110,0,0.333498," ","integrate(csch(x)^4/(a+b*coth(x)),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(a + b\right)} e^{\left(-2 \, x\right)} - a\right)}}{2 \, b^{2} e^{\left(-2 \, x\right)} - b^{2} e^{\left(-4 \, x\right)} - b^{2}} - \frac{{\left(a^{2} - b^{2}\right)} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{b^{3}} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-x\right)} + 1\right)}{b^{3}} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-x\right)} - 1\right)}{b^{3}}"," ",0,"2*((a + b)*e^(-2*x) - a)/(2*b^2*e^(-2*x) - b^2*e^(-4*x) - b^2) - (a^2 - b^2)*log(-(a - b)*e^(-2*x) + a + b)/b^3 + (a^2 - b^2)*log(e^(-x) + 1)/b^3 + (a^2 - b^2)*log(e^(-x) - 1)/b^3","B",0
105,1,36,0,0.335211," ","integrate(cosh(x)^4/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{128} \, {\left(6 \, e^{\left(-2 \, x\right)} + 1\right)} e^{\left(4 \, x\right)} + \frac{1}{16} \, x + \frac{1}{32} \, e^{\left(-2 \, x\right)} + \frac{3}{128} \, e^{\left(-4 \, x\right)} + \frac{1}{192} \, e^{\left(-6 \, x\right)}"," ",0,"1/128*(6*e^(-2*x) + 1)*e^(4*x) + 1/16*x + 1/32*e^(-2*x) + 3/128*e^(-4*x) + 1/192*e^(-6*x)","A",0
106,1,27,0,0.305716," ","integrate(cosh(x)^3/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{48} \, {\left(6 \, e^{\left(-2 \, x\right)} + 1\right)} e^{\left(3 \, x\right)} + \frac{1}{24} \, e^{\left(-3 \, x\right)} + \frac{1}{80} \, e^{\left(-5 \, x\right)}"," ",0,"1/48*(6*e^(-2*x) + 1)*e^(3*x) + 1/24*e^(-3*x) + 1/80*e^(-5*x)","A",0
107,1,22,0,0.301038," ","integrate(cosh(x)^2/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{8} \, x + \frac{1}{16} \, e^{\left(2 \, x\right)} + \frac{1}{16} \, e^{\left(-2 \, x\right)} + \frac{1}{32} \, e^{\left(-4 \, x\right)}"," ",0,"1/8*x + 1/16*e^(2*x) + 1/16*e^(-2*x) + 1/32*e^(-4*x)","A",0
108,1,11,0,0.300761," ","integrate(cosh(x)/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{12} \, e^{\left(-3 \, x\right)} + \frac{1}{4} \, e^{x}"," ",0,"1/12*e^(-3*x) + 1/4*e^x","A",0
109,1,12,0,0.500776," ","integrate(sech(x)/(1+coth(x)),x, algorithm=""maxima"")","-2 \, \arctan\left(e^{\left(-x\right)}\right) + e^{\left(-x\right)}"," ",0,"-2*arctan(e^(-x)) + e^(-x)","A",0
110,1,18,0,0.404310," ","integrate(sech(x)^2/(1+coth(x)),x, algorithm=""maxima"")","\frac{2}{e^{\left(-2 \, x\right)} + 1} + \log\left(e^{\left(-2 \, x\right)} + 1\right)"," ",0,"2/(e^(-2*x) + 1) + log(e^(-2*x) + 1)","A",0
111,1,33,0,0.415798," ","integrate(sech(x)^3/(1+coth(x)),x, algorithm=""maxima"")","-\frac{e^{\left(-x\right)} + 3 \, e^{\left(-3 \, x\right)}}{2 \, e^{\left(-2 \, x\right)} + e^{\left(-4 \, x\right)} + 1} + \arctan\left(e^{\left(-x\right)}\right)"," ",0,"-(e^(-x) + 3*e^(-3*x))/(2*e^(-2*x) + e^(-4*x) + 1) + arctan(e^(-x))","B",0
112,1,75,0,0.302199," ","integrate(sech(x)^4/(1+coth(x)),x, algorithm=""maxima"")","-\frac{2 \, e^{\left(-2 \, x\right)}}{3 \, e^{\left(-2 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} + 1} - \frac{4 \, e^{\left(-4 \, x\right)}}{3 \, e^{\left(-2 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} + 1} - \frac{2}{3 \, {\left(3 \, e^{\left(-2 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} + 1\right)}}"," ",0,"-2*e^(-2*x)/(3*e^(-2*x) + 3*e^(-4*x) + e^(-6*x) + 1) - 4*e^(-4*x)/(3*e^(-2*x) + 3*e^(-4*x) + e^(-6*x) + 1) - 2/3/(3*e^(-2*x) + 3*e^(-4*x) + e^(-6*x) + 1)","B",0
113,0,0,0,0.000000," ","integrate(sech(x)^2*(1+coth(x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\coth\left(x\right) + 1} \operatorname{sech}\left(x\right)^{2}\,{d x}"," ",0,"integrate(sqrt(coth(x) + 1)*sech(x)^2, x)","F",0
114,1,154,0,0.335320," ","integrate(cosh(x)^4/(a+b*coth(x)),x, algorithm=""maxima"")","-\frac{a^{4} b \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}} + \frac{{\left(3 \, a^{2} + a b\right)} x}{8 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}} + \frac{{\left(4 \, {\left(2 \, a + b\right)} e^{\left(-2 \, x\right)} + a + b\right)} e^{\left(4 \, x\right)}}{64 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} - \frac{4 \, {\left(2 \, a - b\right)} e^{\left(-2 \, x\right)} + {\left(a - b\right)} e^{\left(-4 \, x\right)}}{64 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}}"," ",0,"-a^4*b*log(-(a - b)*e^(-2*x) + a + b)/(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6) + 1/8*(3*a^2 + a*b)*x/(a^3 + 3*a^2*b + 3*a*b^2 + b^3) + 1/64*(4*(2*a + b)*e^(-2*x) + a + b)*e^(4*x)/(a^2 + 2*a*b + b^2) - 1/64*(4*(2*a - b)*e^(-2*x) + (a - b)*e^(-4*x))/(a^2 - 2*a*b + b^2)","A",0
115,-2,0,0,0.000000," ","integrate(cosh(x)^3/(a+b*coth(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
116,1,80,0,0.325379," ","integrate(cosh(x)^2/(a+b*coth(x)),x, algorithm=""maxima"")","-\frac{a^{2} b \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4}} + \frac{a x}{2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} + \frac{e^{\left(2 \, x\right)}}{8 \, {\left(a + b\right)}} - \frac{e^{\left(-2 \, x\right)}}{8 \, {\left(a - b\right)}}"," ",0,"-a^2*b*log(-(a - b)*e^(-2*x) + a + b)/(a^4 - 2*a^2*b^2 + b^4) + 1/2*a*x/(a^2 + 2*a*b + b^2) + 1/8*e^(2*x)/(a + b) - 1/8*e^(-2*x)/(a - b)","A",0
117,-2,0,0,0.000000," ","integrate(cosh(x)/(a+b*coth(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
118,-2,0,0,0.000000," ","integrate(sech(x)/(a+b*coth(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
119,1,46,0,0.420320," ","integrate(sech(x)^2/(a+b*coth(x)),x, algorithm=""maxima"")","-\frac{b \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{2}} + \frac{b \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{2}} + \frac{2}{a e^{\left(-2 \, x\right)} + a}"," ",0,"-b*log(-(a - b)*e^(-2*x) + a + b)/a^2 + b*log(e^(-2*x) + 1)/a^2 + 2/(a*e^(-2*x) + a)","A",0
120,-2,0,0,0.000000," ","integrate(sech(x)^3/(a+b*coth(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
121,1,133,0,0.413760," ","integrate(sech(x)^4/(a+b*coth(x)),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, a^{2} - 3 \, b^{2} + 3 \, {\left(2 \, a^{2} - a b - 2 \, b^{2}\right)} e^{\left(-2 \, x\right)} - 3 \, {\left(a b + b^{2}\right)} e^{\left(-4 \, x\right)}\right)}}{3 \, {\left(3 \, a^{3} e^{\left(-2 \, x\right)} + 3 \, a^{3} e^{\left(-4 \, x\right)} + a^{3} e^{\left(-6 \, x\right)} + a^{3}\right)}} - \frac{{\left(a^{2} b - b^{3}\right)} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{4}} + \frac{{\left(a^{2} b - b^{3}\right)} \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{4}}"," ",0,"2/3*(2*a^2 - 3*b^2 + 3*(2*a^2 - a*b - 2*b^2)*e^(-2*x) - 3*(a*b + b^2)*e^(-4*x))/(3*a^3*e^(-2*x) + 3*a^3*e^(-4*x) + a^3*e^(-6*x) + a^3) - (a^2*b - b^3)*log(-(a - b)*e^(-2*x) + a + b)/a^4 + (a^2*b - b^3)*log(e^(-2*x) + 1)/a^4","A",0
122,1,42,0,0.427938," ","integrate(sech(x)/(I+2*coth(x)),x, algorithm=""maxima"")","\frac{2}{5} \, \sqrt{5} \log\left(-\frac{2 \, \sqrt{5} - \left(4 i + 2\right) \, e^{\left(-x\right)}}{2 \, \sqrt{5} + \left(4 i + 2\right) \, e^{\left(-x\right)}}\right) + 2 i \, \arctan\left(e^{\left(-x\right)}\right)"," ",0,"2/5*sqrt(5)*log(-(2*sqrt(5) - (4*I + 2)*e^(-x))/(2*sqrt(5) + (4*I + 2)*e^(-x))) + 2*I*arctan(e^(-x))","A",0
123,1,55,0,0.408175," ","integrate(tanh(x)^4/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x - \frac{2 \, {\left(15 \, e^{\left(-2 \, x\right)} + 12 \, e^{\left(-4 \, x\right)} + 7\right)}}{3 \, {\left(3 \, e^{\left(-2 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} + 1\right)}} + \frac{1}{4} \, e^{\left(-2 \, x\right)} - 2 \, \log\left(e^{\left(-2 \, x\right)} + 1\right)"," ",0,"1/2*x - 2/3*(15*e^(-2*x) + 12*e^(-4*x) + 7)/(3*e^(-2*x) + 3*e^(-4*x) + e^(-6*x) + 1) + 1/4*e^(-2*x) - 2*log(e^(-2*x) + 1)","A",0
124,1,43,0,0.408467," ","integrate(tanh(x)^3/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{2 \, {\left(2 \, e^{\left(-2 \, x\right)} + 1\right)}}{2 \, e^{\left(-2 \, x\right)} + e^{\left(-4 \, x\right)} + 1} - \frac{1}{4} \, e^{\left(-2 \, x\right)} + 2 \, \log\left(e^{\left(-2 \, x\right)} + 1\right)"," ",0,"1/2*x + 2*(2*e^(-2*x) + 1)/(2*e^(-2*x) + e^(-4*x) + 1) - 1/4*e^(-2*x) + 2*log(e^(-2*x) + 1)","A",0
125,1,29,0,0.421146," ","integrate(tanh(x)^2/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x - \frac{2}{e^{\left(-2 \, x\right)} + 1} + \frac{1}{4} \, e^{\left(-2 \, x\right)} - \log\left(e^{\left(-2 \, x\right)} + 1\right)"," ",0,"1/2*x - 2/(e^(-2*x) + 1) + 1/4*e^(-2*x) - log(e^(-2*x) + 1)","A",0
126,1,17,0,0.415856," ","integrate(tanh(x)/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x - \frac{1}{4} \, e^{\left(-2 \, x\right)} + \log\left(e^{\left(-2 \, x\right)} + 1\right)"," ",0,"1/2*x - 1/4*e^(-2*x) + log(e^(-2*x) + 1)","A",0
127,1,10,0,0.306505," ","integrate(1/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{1}{4} \, e^{\left(-2 \, x\right)}"," ",0,"1/2*x + 1/4*e^(-2*x)","A",0
128,1,10,0,0.305427," ","integrate(coth(x)/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x - \frac{1}{4} \, e^{\left(-2 \, x\right)}"," ",0,"1/2*x - 1/4*e^(-2*x)","A",0
129,1,24,0,0.304008," ","integrate(coth(x)^2/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{1}{4} \, e^{\left(-2 \, x\right)} + \log\left(e^{\left(-x\right)} + 1\right) + \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"1/2*x + 1/4*e^(-2*x) + log(e^(-x) + 1) + log(e^(-x) - 1)","A",0
130,1,38,0,0.354427," ","integrate(coth(x)^3/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{2}{e^{\left(-2 \, x\right)} - 1} - \frac{1}{4} \, e^{\left(-2 \, x\right)} - \log\left(e^{\left(-x\right)} + 1\right) - \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"1/2*x + 2/(e^(-2*x) - 1) - 1/4*e^(-2*x) - log(e^(-x) + 1) - log(e^(-x) - 1)","A",0
131,1,54,0,0.306617," ","integrate(coth(x)^4/(1+coth(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{2 \, {\left(2 \, e^{\left(-2 \, x\right)} - 1\right)}}{2 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1} + \frac{1}{4} \, e^{\left(-2 \, x\right)} + 2 \, \log\left(e^{\left(-x\right)} + 1\right) + 2 \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"1/2*x + 2*(2*e^(-2*x) - 1)/(2*e^(-2*x) - e^(-4*x) - 1) + 1/4*e^(-2*x) + 2*log(e^(-x) + 1) + 2*log(e^(-x) - 1)","A",0
132,0,0,0,0.000000," ","integrate(coth(x)*(1+coth(x))^(3/2),x, algorithm=""maxima"")","\int {\left(\coth\left(x\right) + 1\right)}^{\frac{3}{2}} \coth\left(x\right)\,{d x}"," ",0,"integrate((coth(x) + 1)^(3/2)*coth(x), x)","F",0
133,0,0,0,0.000000," ","integrate(coth(x)*(1+coth(x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\coth\left(x\right) + 1} \coth\left(x\right)\,{d x}"," ",0,"integrate(sqrt(coth(x) + 1)*coth(x), x)","F",0
134,0,0,0,0.000000," ","integrate(coth(x)/(1+coth(x))^(1/2),x, algorithm=""maxima"")","\int \frac{\coth\left(x\right)}{\sqrt{\coth\left(x\right) + 1}}\,{d x}"," ",0,"integrate(coth(x)/sqrt(coth(x) + 1), x)","F",0
135,0,0,0,0.000000," ","integrate(coth(x)/(1+coth(x))^(3/2),x, algorithm=""maxima"")","\int \frac{\coth\left(x\right)}{{\left(\coth\left(x\right) + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(coth(x)/(coth(x) + 1)^(3/2), x)","F",0
136,0,0,0,0.000000," ","integrate(coth(x)^2*(1+coth(x))^(3/2),x, algorithm=""maxima"")","\int {\left(\coth\left(x\right) + 1\right)}^{\frac{3}{2}} \coth\left(x\right)^{2}\,{d x}"," ",0,"integrate((coth(x) + 1)^(3/2)*coth(x)^2, x)","F",0
137,0,0,0,0.000000," ","integrate(coth(x)^2*(1+coth(x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\coth\left(x\right) + 1} \coth\left(x\right)^{2}\,{d x}"," ",0,"integrate(sqrt(coth(x) + 1)*coth(x)^2, x)","F",0
138,0,0,0,0.000000," ","integrate(coth(x)^2/(1+coth(x))^(1/2),x, algorithm=""maxima"")","\int \frac{\coth\left(x\right)^{2}}{\sqrt{\coth\left(x\right) + 1}}\,{d x}"," ",0,"integrate(coth(x)^2/sqrt(coth(x) + 1), x)","F",0
139,0,0,0,0.000000," ","integrate(coth(x)^2/(1+coth(x))^(3/2),x, algorithm=""maxima"")","\int \frac{\coth\left(x\right)^{2}}{{\left(\coth\left(x\right) + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(coth(x)^2/(coth(x) + 1)^(3/2), x)","F",0
140,1,146,0,0.413589," ","integrate(tanh(x)^4/(a+b*coth(x)),x, algorithm=""maxima"")","-\frac{b^{5} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{6} - a^{4} b^{2}} - \frac{2 \, {\left(4 \, a^{2} + 3 \, b^{2} + 3 \, {\left(2 \, a^{2} + a b + 2 \, b^{2}\right)} e^{\left(-2 \, x\right)} + 3 \, {\left(2 \, a^{2} + a b + b^{2}\right)} e^{\left(-4 \, x\right)}\right)}}{3 \, {\left(3 \, a^{3} e^{\left(-2 \, x\right)} + 3 \, a^{3} e^{\left(-4 \, x\right)} + a^{3} e^{\left(-6 \, x\right)} + a^{3}\right)}} + \frac{x}{a + b} - \frac{{\left(a^{2} b + b^{3}\right)} \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{4}}"," ",0,"-b^5*log(-(a - b)*e^(-2*x) + a + b)/(a^6 - a^4*b^2) - 2/3*(4*a^2 + 3*b^2 + 3*(2*a^2 + a*b + 2*b^2)*e^(-2*x) + 3*(2*a^2 + a*b + b^2)*e^(-4*x))/(3*a^3*e^(-2*x) + 3*a^3*e^(-4*x) + a^3*e^(-6*x) + a^3) + x/(a + b) - (a^2*b + b^3)*log(e^(-2*x) + 1)/a^4","A",0
141,1,94,0,0.411012," ","integrate(tanh(x)^3/(a+b*coth(x)),x, algorithm=""maxima"")","\frac{b^{4} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{5} - a^{3} b^{2}} + \frac{2 \, {\left({\left(a + b\right)} e^{\left(-2 \, x\right)} + b\right)}}{2 \, a^{2} e^{\left(-2 \, x\right)} + a^{2} e^{\left(-4 \, x\right)} + a^{2}} + \frac{x}{a + b} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{3}}"," ",0,"b^4*log(-(a - b)*e^(-2*x) + a + b)/(a^5 - a^3*b^2) + 2*((a + b)*e^(-2*x) + b)/(2*a^2*e^(-2*x) + a^2*e^(-4*x) + a^2) + x/(a + b) + (a^2 + b^2)*log(e^(-2*x) + 1)/a^3","A",0
142,1,67,0,0.463989," ","integrate(tanh(x)^2/(a+b*coth(x)),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{4} - a^{2} b^{2}} + \frac{x}{a + b} - \frac{b \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{2}} - \frac{2}{a e^{\left(-2 \, x\right)} + a}"," ",0,"-b^3*log(-(a - b)*e^(-2*x) + a + b)/(a^4 - a^2*b^2) + x/(a + b) - b*log(e^(-2*x) + 1)/a^2 - 2/(a*e^(-2*x) + a)","A",0
143,1,50,0,0.419666," ","integrate(tanh(x)/(a+b*coth(x)),x, algorithm=""maxima"")","\frac{b^{2} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{3} - a b^{2}} + \frac{x}{a + b} + \frac{\log\left(e^{\left(-2 \, x\right)} + 1\right)}{a}"," ",0,"b^2*log(-(a - b)*e^(-2*x) + a + b)/(a^3 - a*b^2) + x/(a + b) + log(e^(-2*x) + 1)/a","A",0
144,1,37,0,0.300077," ","integrate(1/(a+b*coth(x)),x, algorithm=""maxima"")","-\frac{b \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{2} - b^{2}} + \frac{x}{a + b}"," ",0,"-b*log(-(a - b)*e^(-2*x) + a + b)/(a^2 - b^2) + x/(a + b)","A",0
145,1,36,0,0.631239," ","integrate(coth(x)/(a+b*coth(x)),x, algorithm=""maxima"")","\frac{a \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{2} - b^{2}} + \frac{x}{a + b}"," ",0,"a*log(-(a - b)*e^(-2*x) + a + b)/(a^2 - b^2) + x/(a + b)","A",0
146,1,63,0,0.649993," ","integrate(coth(x)^2/(a+b*coth(x)),x, algorithm=""maxima"")","-\frac{a^{2} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{2} b - b^{3}} + \frac{x}{a + b} + \frac{\log\left(e^{\left(-x\right)} + 1\right)}{b} + \frac{\log\left(e^{\left(-x\right)} - 1\right)}{b}"," ",0,"-a^2*log(-(a - b)*e^(-2*x) + a + b)/(a^2*b - b^3) + x/(a + b) + log(e^(-x) + 1)/b + log(e^(-x) - 1)/b","A",0
147,1,82,0,0.313128," ","integrate(coth(x)^3/(a+b*coth(x)),x, algorithm=""maxima"")","\frac{a^{3} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{2} b^{2} - b^{4}} + \frac{x}{a + b} - \frac{a \log\left(e^{\left(-x\right)} + 1\right)}{b^{2}} - \frac{a \log\left(e^{\left(-x\right)} - 1\right)}{b^{2}} + \frac{2}{b e^{\left(-2 \, x\right)} - b}"," ",0,"a^3*log(-(a - b)*e^(-2*x) + a + b)/(a^2*b^2 - b^4) + x/(a + b) - a*log(e^(-x) + 1)/b^2 - a*log(e^(-x) - 1)/b^2 + 2/(b*e^(-2*x) - b)","A",0
148,1,119,0,0.984074," ","integrate(coth(x)^4/(a+b*coth(x)),x, algorithm=""maxima"")","-\frac{a^{4} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{2} b^{3} - b^{5}} + \frac{2 \, {\left({\left(a + b\right)} e^{\left(-2 \, x\right)} - a\right)}}{2 \, b^{2} e^{\left(-2 \, x\right)} - b^{2} e^{\left(-4 \, x\right)} - b^{2}} + \frac{x}{a + b} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-x\right)} + 1\right)}{b^{3}} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-x\right)} - 1\right)}{b^{3}}"," ",0,"-a^4*log(-(a - b)*e^(-2*x) + a + b)/(a^2*b^3 - b^5) + 2*((a + b)*e^(-2*x) - a)/(2*b^2*e^(-2*x) - b^2*e^(-4*x) - b^2) + x/(a + b) + (a^2 + b^2)*log(e^(-x) + 1)/b^3 + (a^2 + b^2)*log(e^(-x) - 1)/b^3","A",0
149,1,169,0,0.524959," ","integrate(coth(x)^5/(a+b*coth(x)),x, algorithm=""maxima"")","\frac{a^{5} \log\left(-{\left(a - b\right)} e^{\left(-2 \, x\right)} + a + b\right)}{a^{2} b^{4} - b^{6}} + \frac{2 \, {\left(3 \, a^{2} + 4 \, b^{2} - 3 \, {\left(2 \, a^{2} + a b + 2 \, b^{2}\right)} e^{\left(-2 \, x\right)} + 3 \, {\left(a^{2} + a b + 2 \, b^{2}\right)} e^{\left(-4 \, x\right)}\right)}}{3 \, {\left(3 \, b^{3} e^{\left(-2 \, x\right)} - 3 \, b^{3} e^{\left(-4 \, x\right)} + b^{3} e^{\left(-6 \, x\right)} - b^{3}\right)}} + \frac{x}{a + b} - \frac{{\left(a^{3} + a b^{2}\right)} \log\left(e^{\left(-x\right)} + 1\right)}{b^{4}} - \frac{{\left(a^{3} + a b^{2}\right)} \log\left(e^{\left(-x\right)} - 1\right)}{b^{4}}"," ",0,"a^5*log(-(a - b)*e^(-2*x) + a + b)/(a^2*b^4 - b^6) + 2/3*(3*a^2 + 4*b^2 - 3*(2*a^2 + a*b + 2*b^2)*e^(-2*x) + 3*(a^2 + a*b + 2*b^2)*e^(-4*x))/(3*b^3*e^(-2*x) - 3*b^3*e^(-4*x) + b^3*e^(-6*x) - b^3) + x/(a + b) - (a^3 + a*b^2)*log(e^(-x) + 1)/b^4 - (a^3 + a*b^2)*log(e^(-x) - 1)/b^4","A",0
150,1,68,0,0.915306," ","integrate(x*csch(x)^2/(a+b*coth(x))^2,x, algorithm=""maxima"")","\frac{2 \, x e^{\left(2 \, x\right)}}{a^{2} - 2 \, a b + b^{2} - {\left(a^{2} - b^{2}\right)} e^{\left(2 \, x\right)}} + \frac{\log\left(\frac{{\left(a + b\right)} e^{\left(2 \, x\right)} - a + b}{a + b}\right)}{a^{2} - b^{2}}"," ",0,"2*x*e^(2*x)/(a^2 - 2*a*b + b^2 - (a^2 - b^2)*e^(2*x)) + log(((a + b)*e^(2*x) - a + b)/(a + b))/(a^2 - b^2)","A",0
151,1,36,0,0.381090," ","integrate(x^3*coth(a+2*log(x)),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} + \frac{1}{2} \, e^{\left(-2 \, a\right)} \log\left(x^{2} e^{a} + 1\right) + \frac{1}{2} \, e^{\left(-2 \, a\right)} \log\left(x^{2} e^{a} - 1\right)"," ",0,"1/4*x^4 + 1/2*e^(-2*a)*log(x^2*e^a + 1) + 1/2*e^(-2*a)*log(x^2*e^a - 1)","A",0
152,1,48,0,1.073925," ","integrate(x^2*coth(a+2*log(x)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + \arctan\left(x e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{3}{2} \, a\right)} + \frac{1}{2} \, e^{\left(-\frac{3}{2} \, a\right)} \log\left(\frac{x e^{a} - e^{\left(\frac{1}{2} \, a\right)}}{x e^{a} + e^{\left(\frac{1}{2} \, a\right)}}\right)"," ",0,"1/3*x^3 + arctan(x*e^(1/2*a))*e^(-3/2*a) + 1/2*e^(-3/2*a)*log((x*e^a - e^(1/2*a))/(x*e^a + e^(1/2*a)))","A",0
153,1,36,0,0.307095," ","integrate(x*coth(a+2*log(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{2} \, e^{\left(-a\right)} \log\left(x^{2} e^{a} + 1\right) + \frac{1}{2} \, e^{\left(-a\right)} \log\left(x^{2} e^{a} - 1\right)"," ",0,"1/2*x^2 - 1/2*e^(-a)*log(x^2*e^a + 1) + 1/2*e^(-a)*log(x^2*e^a - 1)","A",0
154,1,45,0,0.596144," ","integrate(coth(a+2*log(x)),x, algorithm=""maxima"")","-\arctan\left(x e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{1}{2} \, a\right)} + \frac{1}{2} \, e^{\left(-\frac{1}{2} \, a\right)} \log\left(\frac{x e^{a} - e^{\left(\frac{1}{2} \, a\right)}}{x e^{a} + e^{\left(\frac{1}{2} \, a\right)}}\right) + x"," ",0,"-arctan(x*e^(1/2*a))*e^(-1/2*a) + 1/2*e^(-1/2*a)*log((x*e^a - e^(1/2*a))/(x*e^a + e^(1/2*a))) + x","A",0
155,1,10,0,0.299922," ","integrate(coth(a+2*log(x))/x,x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(\sinh\left(a + 2 \, \log\left(x\right)\right)\right)"," ",0,"1/2*log(sinh(a + 2*log(x)))","A",0
156,1,47,0,1.218143," ","integrate(coth(a+2*log(x))/x^2,x, algorithm=""maxima"")","-\arctan\left(\frac{e^{\left(-\frac{1}{2} \, a\right)}}{x}\right) e^{\left(\frac{1}{2} \, a\right)} + \frac{1}{2} \, e^{\left(\frac{1}{2} \, a\right)} \log\left(\frac{\frac{1}{x} - e^{\left(\frac{1}{2} \, a\right)}}{\frac{1}{x} + e^{\left(\frac{1}{2} \, a\right)}}\right) + \frac{1}{x}"," ",0,"-arctan(e^(-1/2*a)/x)*e^(1/2*a) + 1/2*e^(1/2*a)*log((1/x - e^(1/2*a))/(1/x + e^(1/2*a))) + 1/x","A",0
157,1,30,0,0.499484," ","integrate(coth(a+2*log(x))/x^3,x, algorithm=""maxima"")","-\frac{1}{2} \, e^{a} \log\left(\frac{1}{x^{2}} + e^{a}\right) + \frac{1}{2} \, e^{a} \log\left(\frac{1}{x^{2}} - e^{a}\right) + \frac{1}{2 \, x^{2}}"," ",0,"-1/2*e^a*log(1/x^2 + e^a) + 1/2*e^a*log(1/x^2 - e^a) + 1/2/x^2","A",0
158,1,53,0,0.328195," ","integrate(x^3*coth(a+2*log(x))^2,x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} + e^{\left(-2 \, a\right)} \log\left(x^{2} e^{a} + 1\right) + e^{\left(-2 \, a\right)} \log\left(x^{2} e^{a} - 1\right) - \frac{1}{x^{4} e^{\left(4 \, a\right)} - e^{\left(2 \, a\right)}}"," ",0,"1/4*x^4 + e^(-2*a)*log(x^2*e^a + 1) + e^(-2*a)*log(x^2*e^a - 1) - 1/(x^4*e^(4*a) - e^(2*a))","A",0
159,1,66,0,0.419420," ","integrate(x^2*coth(a+2*log(x))^2,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} - \frac{x^{3}}{x^{4} e^{\left(2 \, a\right)} - 1} + \frac{3}{2} \, \arctan\left(x e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{3}{2} \, a\right)} + \frac{3}{4} \, e^{\left(-\frac{3}{2} \, a\right)} \log\left(\frac{x e^{a} - e^{\left(\frac{1}{2} \, a\right)}}{x e^{a} + e^{\left(\frac{1}{2} \, a\right)}}\right)"," ",0,"1/3*x^3 - x^3/(x^4*e^(2*a) - 1) + 3/2*arctan(x*e^(1/2*a))*e^(-3/2*a) + 3/4*e^(-3/2*a)*log((x*e^a - e^(1/2*a))/(x*e^a + e^(1/2*a)))","A",0
160,1,53,0,0.315722," ","integrate(x*coth(a+2*log(x))^2,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{2} \, e^{\left(-a\right)} \log\left(x^{2} e^{a} + 1\right) + \frac{1}{2} \, e^{\left(-a\right)} \log\left(x^{2} e^{a} - 1\right) - \frac{x^{2}}{x^{4} e^{\left(2 \, a\right)} - 1}"," ",0,"1/2*x^2 - 1/2*e^(-a)*log(x^2*e^a + 1) + 1/2*e^(-a)*log(x^2*e^a - 1) - x^2/(x^4*e^(2*a) - 1)","A",0
161,1,60,0,0.415574," ","integrate(coth(a+2*log(x))^2,x, algorithm=""maxima"")","-\frac{1}{2} \, \arctan\left(x e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{1}{2} \, a\right)} + \frac{1}{4} \, e^{\left(-\frac{1}{2} \, a\right)} \log\left(\frac{x e^{a} - e^{\left(\frac{1}{2} \, a\right)}}{x e^{a} + e^{\left(\frac{1}{2} \, a\right)}}\right) + x - \frac{x}{x^{4} e^{\left(2 \, a\right)} - 1}"," ",0,"-1/2*arctan(x*e^(1/2*a))*e^(-1/2*a) + 1/4*e^(-1/2*a)*log((x*e^a - e^(1/2*a))/(x*e^a + e^(1/2*a))) + x - x/(x^4*e^(2*a) - 1)","A",0
162,1,19,0,0.311442," ","integrate(coth(a+2*log(x))^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, a + \frac{1}{e^{\left(-2 \, a - 4 \, \log\left(x\right)\right)} - 1} + \log\left(x\right)"," ",0,"1/2*a + 1/(e^(-2*a - 4*log(x)) - 1) + log(x)","A",0
163,1,69,0,0.415329," ","integrate(coth(a+2*log(x))^2/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(\frac{e^{\left(-\frac{1}{2} \, a\right)}}{x}\right) e^{\left(\frac{1}{2} \, a\right)} - \frac{1}{4} \, e^{\left(\frac{1}{2} \, a\right)} \log\left(\frac{\frac{1}{x} - e^{\left(\frac{1}{2} \, a\right)}}{\frac{1}{x} + e^{\left(\frac{1}{2} \, a\right)}}\right) - \frac{1}{x} + \frac{e^{\left(2 \, a\right)}}{x {\left(\frac{1}{x^{4}} - e^{\left(2 \, a\right)}\right)}}"," ",0,"1/2*arctan(e^(-1/2*a)/x)*e^(1/2*a) - 1/4*e^(1/2*a)*log((1/x - e^(1/2*a))/(1/x + e^(1/2*a))) - 1/x + e^(2*a)/(x*(1/x^4 - e^(2*a)))","A",0
164,1,50,0,0.332174," ","integrate(coth(a+2*log(x))^2/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, e^{a} \log\left(\frac{1}{x^{2}} + e^{a}\right) - \frac{1}{2} \, e^{a} \log\left(\frac{1}{x^{2}} - e^{a}\right) - \frac{1}{2 \, x^{2}} + \frac{e^{\left(2 \, a\right)}}{x^{2} {\left(\frac{1}{x^{4}} - e^{\left(2 \, a\right)}\right)}}"," ",0,"1/2*e^a*log(1/x^2 + e^a) - 1/2*e^a*log(1/x^2 - e^a) - 1/2/x^2 + e^(2*a)/(x^2*(1/x^4 - e^(2*a)))","A",0
165,0,0,0,0.000000," ","integrate((e*x)^m*coth(a+2*log(x)),x, algorithm=""maxima"")","\int \left(e x\right)^{m} \coth\left(a + 2 \, \log\left(x\right)\right)\,{d x}"," ",0,"integrate((e*x)^m*coth(a + 2*log(x)), x)","F",0
166,0,0,0,0.000000," ","integrate((e*x)^m*coth(a+2*log(x))^2,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \coth\left(a + 2 \, \log\left(x\right)\right)^{2}\,{d x}"," ",0,"integrate((e*x)^m*coth(a + 2*log(x))^2, x)","F",0
167,0,0,0,0.000000," ","integrate((e*x)^m*coth(a+2*log(x))^3,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \coth\left(a + 2 \, \log\left(x\right)\right)^{3}\,{d x}"," ",0,"integrate((e*x)^m*coth(a + 2*log(x))^3, x)","F",0
168,0,0,0,0.000000," ","integrate(coth(a+b*log(x))^p,x, algorithm=""maxima"")","\int \coth\left(b \log\left(x\right) + a\right)^{p}\,{d x}"," ",0,"integrate(coth(b*log(x) + a)^p, x)","F",0
169,0,0,0,0.000000," ","integrate((e*x)^m*coth(a+b*log(x))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \coth\left(b \log\left(x\right) + a\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*coth(b*log(x) + a)^p, x)","F",0
170,0,0,0,0.000000," ","integrate(coth(a+1/2*log(x))^p,x, algorithm=""maxima"")","\int \coth\left(a + \frac{1}{2} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 1/2*log(x))^p, x)","F",0
171,0,0,0,0.000000," ","integrate(coth(a+1/4*log(x))^p,x, algorithm=""maxima"")","\int \coth\left(a + \frac{1}{4} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 1/4*log(x))^p, x)","F",0
172,0,0,0,0.000000," ","integrate(coth(a+1/6*log(x))^p,x, algorithm=""maxima"")","\int \coth\left(a + \frac{1}{6} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 1/6*log(x))^p, x)","F",0
173,0,0,0,0.000000," ","integrate(coth(a+1/8*log(x))^p,x, algorithm=""maxima"")","\int \coth\left(a + \frac{1}{8} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 1/8*log(x))^p, x)","F",0
174,0,0,0,0.000000," ","integrate(coth(a+log(x))^p,x, algorithm=""maxima"")","\int \coth\left(a + \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + log(x))^p, x)","F",0
175,0,0,0,0.000000," ","integrate(coth(a+2*log(x))^p,x, algorithm=""maxima"")","\int \coth\left(a + 2 \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 2*log(x))^p, x)","F",0
176,0,0,0,0.000000," ","integrate(coth(a+3*log(x))^p,x, algorithm=""maxima"")","\int \coth\left(a + 3 \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 3*log(x))^p, x)","F",0
177,0,0,0,0.000000," ","integrate(x^3*coth(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} - \int \frac{x^{3}}{c^{b d} e^{\left(b d \log\left(x^{n}\right) + a d\right)} + 1}\,{d x} + \int \frac{x^{3}}{c^{b d} e^{\left(b d \log\left(x^{n}\right) + a d\right)} - 1}\,{d x}"," ",0,"1/4*x^4 - integrate(x^3/(c^(b*d)*e^(b*d*log(x^n) + a*d) + 1), x) + integrate(x^3/(c^(b*d)*e^(b*d*log(x^n) + a*d) - 1), x)","F",0
178,0,0,0,0.000000," ","integrate(x^2*coth(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} - \int \frac{x^{2}}{c^{b d} e^{\left(b d \log\left(x^{n}\right) + a d\right)} + 1}\,{d x} + \int \frac{x^{2}}{c^{b d} e^{\left(b d \log\left(x^{n}\right) + a d\right)} - 1}\,{d x}"," ",0,"1/3*x^3 - integrate(x^2/(c^(b*d)*e^(b*d*log(x^n) + a*d) + 1), x) + integrate(x^2/(c^(b*d)*e^(b*d*log(x^n) + a*d) - 1), x)","F",0
179,0,0,0,0.000000," ","integrate(x*coth(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \int \frac{x}{c^{b d} e^{\left(b d \log\left(x^{n}\right) + a d\right)} + 1}\,{d x} + \int \frac{x}{c^{b d} e^{\left(b d \log\left(x^{n}\right) + a d\right)} - 1}\,{d x}"," ",0,"1/2*x^2 - integrate(x/(c^(b*d)*e^(b*d*log(x^n) + a*d) + 1), x) + integrate(x/(c^(b*d)*e^(b*d*log(x^n) + a*d) - 1), x)","F",0
180,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","x - \int \frac{1}{c^{b d} e^{\left(b d \log\left(x^{n}\right) + a d\right)} + 1}\,{d x} + \int \frac{1}{c^{b d} e^{\left(b d \log\left(x^{n}\right) + a d\right)} - 1}\,{d x}"," ",0,"x - integrate(1/(c^(b*d)*e^(b*d*log(x^n) + a*d) + 1), x) + integrate(1/(c^(b*d)*e^(b*d*log(x^n) + a*d) - 1), x)","F",0
181,1,24,0,0.313206," ","integrate(coth(d*(a+b*log(c*x^n)))/x,x, algorithm=""maxima"")","\frac{\log\left(\sinh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\right)}{b d n}"," ",0,"log(sinh((b*log(c*x^n) + a)*d))/(b*d*n)","A",0
182,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""maxima"")","-\frac{1}{x} - \int \frac{1}{c^{b d} x^{2} e^{\left(b d \log\left(x^{n}\right) + a d\right)} + x^{2}}\,{d x} + \int \frac{1}{c^{b d} x^{2} e^{\left(b d \log\left(x^{n}\right) + a d\right)} - x^{2}}\,{d x}"," ",0,"-1/x - integrate(1/(c^(b*d)*x^2*e^(b*d*log(x^n) + a*d) + x^2), x) + integrate(1/(c^(b*d)*x^2*e^(b*d*log(x^n) + a*d) - x^2), x)","F",0
183,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""maxima"")","-\frac{1}{2 \, x^{2}} - \int \frac{1}{c^{b d} x^{3} e^{\left(b d \log\left(x^{n}\right) + a d\right)} + x^{3}}\,{d x} + \int \frac{1}{c^{b d} x^{3} e^{\left(b d \log\left(x^{n}\right) + a d\right)} - x^{3}}\,{d x}"," ",0,"-1/2/x^2 - integrate(1/(c^(b*d)*x^3*e^(b*d*log(x^n) + a*d) + x^3), x) + integrate(1/(c^(b*d)*x^3*e^(b*d*log(x^n) + a*d) - x^3), x)","F",0
184,0,0,0,0.000000," ","integrate(x^3*coth(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\frac{b c^{2 \, b d} d n x^{4} e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - {\left(b d n + 8\right)} x^{4}}{4 \, {\left(b c^{2 \, b d} d n e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - b d n\right)}} - 4 \, \int \frac{x^{3}}{b c^{b d} d n e^{\left(b d \log\left(x^{n}\right) + a d\right)} + b d n}\,{d x} + 4 \, \int \frac{x^{3}}{b c^{b d} d n e^{\left(b d \log\left(x^{n}\right) + a d\right)} - b d n}\,{d x}"," ",0,"1/4*(b*c^(2*b*d)*d*n*x^4*e^(2*b*d*log(x^n) + 2*a*d) - (b*d*n + 8)*x^4)/(b*c^(2*b*d)*d*n*e^(2*b*d*log(x^n) + 2*a*d) - b*d*n) - 4*integrate(x^3/(b*c^(b*d)*d*n*e^(b*d*log(x^n) + a*d) + b*d*n), x) + 4*integrate(x^3/(b*c^(b*d)*d*n*e^(b*d*log(x^n) + a*d) - b*d*n), x)","F",0
185,0,0,0,0.000000," ","integrate(x^2*coth(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\frac{b c^{2 \, b d} d n x^{3} e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - {\left(b d n + 6\right)} x^{3}}{3 \, {\left(b c^{2 \, b d} d n e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - b d n\right)}} - 3 \, \int \frac{x^{2}}{b c^{b d} d n e^{\left(b d \log\left(x^{n}\right) + a d\right)} + b d n}\,{d x} + 3 \, \int \frac{x^{2}}{b c^{b d} d n e^{\left(b d \log\left(x^{n}\right) + a d\right)} - b d n}\,{d x}"," ",0,"1/3*(b*c^(2*b*d)*d*n*x^3*e^(2*b*d*log(x^n) + 2*a*d) - (b*d*n + 6)*x^3)/(b*c^(2*b*d)*d*n*e^(2*b*d*log(x^n) + 2*a*d) - b*d*n) - 3*integrate(x^2/(b*c^(b*d)*d*n*e^(b*d*log(x^n) + a*d) + b*d*n), x) + 3*integrate(x^2/(b*c^(b*d)*d*n*e^(b*d*log(x^n) + a*d) - b*d*n), x)","F",0
186,0,0,0,0.000000," ","integrate(x*coth(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\frac{b c^{2 \, b d} d n x^{2} e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - {\left(b d n + 4\right)} x^{2}}{2 \, {\left(b c^{2 \, b d} d n e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - b d n\right)}} - 2 \, \int \frac{x}{b c^{b d} d n e^{\left(b d \log\left(x^{n}\right) + a d\right)} + b d n}\,{d x} + 2 \, \int \frac{x}{b c^{b d} d n e^{\left(b d \log\left(x^{n}\right) + a d\right)} - b d n}\,{d x}"," ",0,"1/2*(b*c^(2*b*d)*d*n*x^2*e^(2*b*d*log(x^n) + 2*a*d) - (b*d*n + 4)*x^2)/(b*c^(2*b*d)*d*n*e^(2*b*d*log(x^n) + 2*a*d) - b*d*n) - 2*integrate(x/(b*c^(b*d)*d*n*e^(b*d*log(x^n) + a*d) + b*d*n), x) + 2*integrate(x/(b*c^(b*d)*d*n*e^(b*d*log(x^n) + a*d) - b*d*n), x)","F",0
187,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","\frac{b c^{2 \, b d} d n x e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - {\left(b d n + 2\right)} x}{b c^{2 \, b d} d n e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - b d n} - \int \frac{1}{b c^{b d} d n e^{\left(b d \log\left(x^{n}\right) + a d\right)} + b d n}\,{d x} + \int \frac{1}{b c^{b d} d n e^{\left(b d \log\left(x^{n}\right) + a d\right)} - b d n}\,{d x}"," ",0,"(b*c^(2*b*d)*d*n*x*e^(2*b*d*log(x^n) + 2*a*d) - (b*d*n + 2)*x)/(b*c^(2*b*d)*d*n*e^(2*b*d*log(x^n) + 2*a*d) - b*d*n) - integrate(1/(b*c^(b*d)*d*n*e^(b*d*log(x^n) + a*d) + b*d*n), x) + integrate(1/(b*c^(b*d)*d*n*e^(b*d*log(x^n) + a*d) - b*d*n), x)","F",0
188,1,37,0,0.828473," ","integrate(coth(d*(a+b*log(c*x^n)))^2/x,x, algorithm=""maxima"")","-\frac{2}{b c^{2 \, b d} d n e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - b d n} + \log\left(x\right)"," ",0,"-2/(b*c^(2*b*d)*d*n*e^(2*b*d*log(x^n) + 2*a*d) - b*d*n) + log(x)","A",0
189,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))^2/x^2,x, algorithm=""maxima"")","-\frac{b c^{2 \, b d} d n e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - b d n + 2}{b c^{2 \, b d} d n x e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - b d n x} + \int \frac{1}{b c^{b d} d n x^{2} e^{\left(b d \log\left(x^{n}\right) + a d\right)} + b d n x^{2}}\,{d x} - \int \frac{1}{b c^{b d} d n x^{2} e^{\left(b d \log\left(x^{n}\right) + a d\right)} - b d n x^{2}}\,{d x}"," ",0,"-(b*c^(2*b*d)*d*n*e^(2*b*d*log(x^n) + 2*a*d) - b*d*n + 2)/(b*c^(2*b*d)*d*n*x*e^(2*b*d*log(x^n) + 2*a*d) - b*d*n*x) + integrate(1/(b*c^(b*d)*d*n*x^2*e^(b*d*log(x^n) + a*d) + b*d*n*x^2), x) - integrate(1/(b*c^(b*d)*d*n*x^2*e^(b*d*log(x^n) + a*d) - b*d*n*x^2), x)","F",0
190,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))^2/x^3,x, algorithm=""maxima"")","-\frac{b c^{2 \, b d} d n e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - b d n + 4}{2 \, {\left(b c^{2 \, b d} d n x^{2} e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - b d n x^{2}\right)}} + 2 \, \int \frac{1}{b c^{b d} d n x^{3} e^{\left(b d \log\left(x^{n}\right) + a d\right)} + b d n x^{3}}\,{d x} - 2 \, \int \frac{1}{b c^{b d} d n x^{3} e^{\left(b d \log\left(x^{n}\right) + a d\right)} - b d n x^{3}}\,{d x}"," ",0,"-1/2*(b*c^(2*b*d)*d*n*e^(2*b*d*log(x^n) + 2*a*d) - b*d*n + 4)/(b*c^(2*b*d)*d*n*x^2*e^(2*b*d*log(x^n) + 2*a*d) - b*d*n*x^2) + 2*integrate(1/(b*c^(b*d)*d*n*x^3*e^(b*d*log(x^n) + a*d) + b*d*n*x^3), x) - 2*integrate(1/(b*c^(b*d)*d*n*x^3*e^(b*d*log(x^n) + a*d) - b*d*n*x^3), x)","F",0
191,1,330,0,0.429415," ","integrate(coth(a+b*log(c*x^n))^3/x,x, algorithm=""maxima"")","-\frac{4 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - 3}{4 \, {\left(b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 2 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}} - \frac{3 \, {\left(2 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - 1\right)}}{4 \, {\left(b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 2 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}} + \frac{2 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - 3}{4 \, {\left(b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 2 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}} - \frac{3}{4 \, {\left(b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 2 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}} + \frac{\log\left(\frac{{\left(c^{b} e^{\left(b \log\left(x^{n}\right) + a\right)} + 1\right)} e^{\left(-a\right)}}{c^{b}}\right)}{b n} + \frac{\log\left(\frac{{\left(c^{b} e^{\left(b \log\left(x^{n}\right) + a\right)} - 1\right)} e^{\left(-a\right)}}{c^{b}}\right)}{b n} - \log\left(x\right)"," ",0,"-1/4*(4*c^(2*b)*e^(2*b*log(x^n) + 2*a) - 3)/(b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) - 2*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n) - 3/4*(2*c^(2*b)*e^(2*b*log(x^n) + 2*a) - 1)/(b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) - 2*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n) + 1/4*(2*c^(2*b)*e^(2*b*log(x^n) + 2*a) - 3)/(b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) - 2*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n) - 3/4/(b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) - 2*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n) + log((c^b*e^(b*log(x^n) + a) + 1)*e^(-a)/c^b)/(b*n) + log((c^b*e^(b*log(x^n) + a) - 1)*e^(-a)/c^b)/(b*n) - log(x)","B",0
192,1,499,0,0.452683," ","integrate(coth(a+b*log(c*x^n))^4/x,x, algorithm=""maxima"")","-\frac{18 \, c^{4 \, b} e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 27 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + 11}{12 \, {\left(b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} - 3 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 3 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - b n\right)}} - \frac{6 \, c^{4 \, b} e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 15 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + 11}{12 \, {\left(b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} - 3 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 3 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - b n\right)}} - \frac{2 \, {\left(3 \, c^{4 \, b} e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 3 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + 1\right)}}{3 \, {\left(b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} - 3 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 3 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - b n\right)}} - \frac{3 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - 1}{2 \, {\left(b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} - 3 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 3 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - b n\right)}} - \frac{2}{3 \, {\left(b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} - 3 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 3 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - b n\right)}} + \log\left(x\right)"," ",0,"-1/12*(18*c^(4*b)*e^(4*b*log(x^n) + 4*a) - 27*c^(2*b)*e^(2*b*log(x^n) + 2*a) + 11)/(b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) - 3*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) + 3*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) - b*n) - 1/12*(6*c^(4*b)*e^(4*b*log(x^n) + 4*a) - 15*c^(2*b)*e^(2*b*log(x^n) + 2*a) + 11)/(b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) - 3*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) + 3*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) - b*n) - 2/3*(3*c^(4*b)*e^(4*b*log(x^n) + 4*a) - 3*c^(2*b)*e^(2*b*log(x^n) + 2*a) + 1)/(b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) - 3*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) + 3*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) - b*n) - 1/2*(3*c^(2*b)*e^(2*b*log(x^n) + 2*a) - 1)/(b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) - 3*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) + 3*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) - b*n) - 2/3/(b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) - 3*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) + 3*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) - b*n) + log(x)","B",0
193,1,855,0,0.499645," ","integrate(coth(a+b*log(c*x^n))^5/x,x, algorithm=""maxima"")","-\frac{48 \, c^{6 \, b} e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} - 108 \, c^{4 \, b} e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 88 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - 25}{24 \, {\left(b c^{8 \, b} n e^{\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)} - 4 \, b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} + 6 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 4 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}} + \frac{12 \, c^{6 \, b} e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} - 42 \, c^{4 \, b} e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 52 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - 25}{24 \, {\left(b c^{8 \, b} n e^{\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)} - 4 \, b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} + 6 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 4 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}} - \frac{5 \, {\left(4 \, c^{6 \, b} e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} - 6 \, c^{4 \, b} e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 4 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - 1\right)}}{8 \, {\left(b c^{8 \, b} n e^{\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)} - 4 \, b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} + 6 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 4 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}} - \frac{5 \, {\left(6 \, c^{4 \, b} e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 4 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + 1\right)}}{12 \, {\left(b c^{8 \, b} n e^{\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)} - 4 \, b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} + 6 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 4 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}} - \frac{5 \, {\left(4 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - 1\right)}}{12 \, {\left(b c^{8 \, b} n e^{\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)} - 4 \, b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} + 6 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 4 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}} - \frac{5}{8 \, {\left(b c^{8 \, b} n e^{\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)} - 4 \, b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} + 6 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 4 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}} + \frac{\log\left(\frac{{\left(c^{b} e^{\left(b \log\left(x^{n}\right) + a\right)} + 1\right)} e^{\left(-a\right)}}{c^{b}}\right)}{b n} + \frac{\log\left(\frac{{\left(c^{b} e^{\left(b \log\left(x^{n}\right) + a\right)} - 1\right)} e^{\left(-a\right)}}{c^{b}}\right)}{b n} - \log\left(x\right)"," ",0,"-1/24*(48*c^(6*b)*e^(6*b*log(x^n) + 6*a) - 108*c^(4*b)*e^(4*b*log(x^n) + 4*a) + 88*c^(2*b)*e^(2*b*log(x^n) + 2*a) - 25)/(b*c^(8*b)*n*e^(8*b*log(x^n) + 8*a) - 4*b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) + 6*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) - 4*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n) + 1/24*(12*c^(6*b)*e^(6*b*log(x^n) + 6*a) - 42*c^(4*b)*e^(4*b*log(x^n) + 4*a) + 52*c^(2*b)*e^(2*b*log(x^n) + 2*a) - 25)/(b*c^(8*b)*n*e^(8*b*log(x^n) + 8*a) - 4*b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) + 6*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) - 4*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n) - 5/8*(4*c^(6*b)*e^(6*b*log(x^n) + 6*a) - 6*c^(4*b)*e^(4*b*log(x^n) + 4*a) + 4*c^(2*b)*e^(2*b*log(x^n) + 2*a) - 1)/(b*c^(8*b)*n*e^(8*b*log(x^n) + 8*a) - 4*b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) + 6*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) - 4*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n) - 5/12*(6*c^(4*b)*e^(4*b*log(x^n) + 4*a) - 4*c^(2*b)*e^(2*b*log(x^n) + 2*a) + 1)/(b*c^(8*b)*n*e^(8*b*log(x^n) + 8*a) - 4*b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) + 6*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) - 4*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n) - 5/12*(4*c^(2*b)*e^(2*b*log(x^n) + 2*a) - 1)/(b*c^(8*b)*n*e^(8*b*log(x^n) + 8*a) - 4*b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) + 6*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) - 4*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n) - 5/8/(b*c^(8*b)*n*e^(8*b*log(x^n) + 8*a) - 4*b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) + 6*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) - 4*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n) + log((c^b*e^(b*log(x^n) + a) + 1)*e^(-a)/c^b)/(b*n) + log((c^b*e^(b*log(x^n) + a) - 1)*e^(-a)/c^b)/(b*n) - log(x)","B",0
194,0,0,0,0.000000," ","integrate((e*x)^m*coth(d*(a+b*log(c*x^n))),x, algorithm=""maxima"")","\frac{e^{m} x x^{m}}{m + 1} - e^{m} \int \frac{x^{m}}{c^{b d} e^{\left(b d \log\left(x^{n}\right) + a d\right)} + 1}\,{d x} + e^{m} \int \frac{x^{m}}{c^{b d} e^{\left(b d \log\left(x^{n}\right) + a d\right)} - 1}\,{d x}"," ",0,"e^m*x*x^m/(m + 1) - e^m*integrate(x^m/(c^(b*d)*e^(b*d*log(x^n) + a*d) + 1), x) + e^m*integrate(x^m/(c^(b*d)*e^(b*d*log(x^n) + a*d) - 1), x)","F",0
195,0,0,0,0.000000," ","integrate((e*x)^m*coth(d*(a+b*log(c*x^n)))^2,x, algorithm=""maxima"")","-e^{m} {\left(m + 1\right)} \int \frac{x^{m}}{b c^{b d} d n e^{\left(b d \log\left(x^{n}\right) + a d\right)} + b d n}\,{d x} + e^{m} {\left(m + 1\right)} \int \frac{x^{m}}{b c^{b d} d n e^{\left(b d \log\left(x^{n}\right) + a d\right)} - b d n}\,{d x} + \frac{b c^{2 \, b d} d e^{m} n x e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d + m \log\left(x\right)\right)} - {\left(b d e^{m} n + 2 \, e^{m} {\left(m + 1\right)}\right)} x x^{m}}{{\left(m n + n\right)} b c^{2 \, b d} d e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} - {\left(m n + n\right)} b d}"," ",0,"-e^m*(m + 1)*integrate(x^m/(b*c^(b*d)*d*n*e^(b*d*log(x^n) + a*d) + b*d*n), x) + e^m*(m + 1)*integrate(x^m/(b*c^(b*d)*d*n*e^(b*d*log(x^n) + a*d) - b*d*n), x) + (b*c^(2*b*d)*d*e^m*n*x*e^(2*b*d*log(x^n) + 2*a*d + m*log(x)) - (b*d*e^m*n + 2*e^m*(m + 1))*x*x^m)/((m*n + n)*b*c^(2*b*d)*d*e^(2*b*d*log(x^n) + 2*a*d) - (m*n + n)*b*d)","F",0
196,0,0,0,0.000000," ","integrate((e*x)^m*coth(d*(a+b*log(c*x^n)))^3,x, algorithm=""maxima"")","-{\left(2 \, b^{2} d^{2} e^{m} n^{2} + {\left(m^{2} + 2 \, m + 1\right)} e^{m}\right)} \int \frac{x^{m}}{2 \, {\left(b^{2} c^{b d} d^{2} n^{2} e^{\left(b d \log\left(x^{n}\right) + a d\right)} + b^{2} d^{2} n^{2}\right)}}\,{d x} + {\left(2 \, b^{2} d^{2} e^{m} n^{2} + {\left(m^{2} + 2 \, m + 1\right)} e^{m}\right)} \int \frac{x^{m}}{2 \, {\left(b^{2} c^{b d} d^{2} n^{2} e^{\left(b d \log\left(x^{n}\right) + a d\right)} - b^{2} d^{2} n^{2}\right)}}\,{d x} + \frac{b^{2} c^{4 \, b d} d^{2} e^{m} n^{2} x e^{\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d + m \log\left(x\right)\right)} + {\left(b^{2} d^{2} e^{m} n^{2} + {\left(m^{2} + 2 \, m + 1\right)} e^{m}\right)} x x^{m} - {\left(2 \, b^{2} c^{2 \, b d} d^{2} e^{m} n^{2} e^{\left(2 \, a d\right)} + 2 \, {\left(m n + n\right)} b c^{2 \, b d} d e^{m} e^{\left(2 \, a d\right)} + {\left(m^{2} + 2 \, m + 1\right)} c^{2 \, b d} e^{m} e^{\left(2 \, a d\right)}\right)} x e^{\left(2 \, b d \log\left(x^{n}\right) + m \log\left(x\right)\right)}}{{\left(m n^{2} + n^{2}\right)} b^{2} c^{4 \, b d} d^{2} e^{\left(4 \, b d \log\left(x^{n}\right) + 4 \, a d\right)} - 2 \, {\left(m n^{2} + n^{2}\right)} b^{2} c^{2 \, b d} d^{2} e^{\left(2 \, b d \log\left(x^{n}\right) + 2 \, a d\right)} + {\left(m n^{2} + n^{2}\right)} b^{2} d^{2}}"," ",0,"-(2*b^2*d^2*e^m*n^2 + (m^2 + 2*m + 1)*e^m)*integrate(1/2*x^m/(b^2*c^(b*d)*d^2*n^2*e^(b*d*log(x^n) + a*d) + b^2*d^2*n^2), x) + (2*b^2*d^2*e^m*n^2 + (m^2 + 2*m + 1)*e^m)*integrate(1/2*x^m/(b^2*c^(b*d)*d^2*n^2*e^(b*d*log(x^n) + a*d) - b^2*d^2*n^2), x) + (b^2*c^(4*b*d)*d^2*e^m*n^2*x*e^(4*b*d*log(x^n) + 4*a*d + m*log(x)) + (b^2*d^2*e^m*n^2 + (m^2 + 2*m + 1)*e^m)*x*x^m - (2*b^2*c^(2*b*d)*d^2*e^m*n^2*e^(2*a*d) + 2*(m*n + n)*b*c^(2*b*d)*d*e^m*e^(2*a*d) + (m^2 + 2*m + 1)*c^(2*b*d)*e^m*e^(2*a*d))*x*e^(2*b*d*log(x^n) + m*log(x)))/((m*n^2 + n^2)*b^2*c^(4*b*d)*d^2*e^(4*b*d*log(x^n) + 4*a*d) - 2*(m*n^2 + n^2)*b^2*c^(2*b*d)*d^2*e^(2*b*d*log(x^n) + 2*a*d) + (m*n^2 + n^2)*b^2*d^2)","F",0
197,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))^p,x, algorithm=""maxima"")","\int \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate(coth((b*log(c*x^n) + a)*d)^p, x)","F",0
198,0,0,0,0.000000," ","integrate((e*x)^m*coth(d*(a+b*log(c*x^n)))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*coth((b*log(c*x^n) + a)*d)^p, x)","F",0
199,0,0,0,0.000000," ","integrate(coth(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""maxima"")","\int \frac{\coth\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(coth(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
200,0,0,0,0.000000," ","integrate(coth(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\coth\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(coth(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
201,0,0,0,0.000000," ","integrate(coth(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\coth\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(coth(b*log(c*x^n) + a))/x, x)","F",0
202,0,0,0,0.000000," ","integrate(1/x/coth(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x \sqrt{\coth\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(coth(b*log(c*x^n) + a))), x)","F",0
203,0,0,0,0.000000," ","integrate(1/x/coth(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x \coth\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*coth(b*log(c*x^n) + a)^(3/2)), x)","F",0
204,0,0,0,0.000000," ","integrate(1/x/coth(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x \coth\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*coth(b*log(c*x^n) + a)^(5/2)), x)","F",0
205,0,0,0,0.000000," ","integrate(coth(x)^5/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""maxima"")","\int \frac{\coth\left(x\right)^{5}}{\sqrt{c \coth\left(x\right)^{4} + b \coth\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(coth(x)^5/sqrt(c*coth(x)^4 + b*coth(x)^2 + a), x)","F",0
206,0,0,0,0.000000," ","integrate(coth(x)^3/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""maxima"")","\int \frac{\coth\left(x\right)^{3}}{\sqrt{c \coth\left(x\right)^{4} + b \coth\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(coth(x)^3/sqrt(c*coth(x)^4 + b*coth(x)^2 + a), x)","F",0
207,0,0,0,0.000000," ","integrate(coth(x)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""maxima"")","\int \frac{\coth\left(x\right)}{\sqrt{c \coth\left(x\right)^{4} + b \coth\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(coth(x)/sqrt(c*coth(x)^4 + b*coth(x)^2 + a), x)","F",0
208,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(x\right)}{\sqrt{c \coth\left(x\right)^{4} + b \coth\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(tanh(x)/sqrt(c*coth(x)^4 + b*coth(x)^2 + a), x)","F",0
209,0,0,0,0.000000," ","integrate(tanh(x)^3/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""maxima"")","\int \frac{\tanh\left(x\right)^{3}}{\sqrt{c \coth\left(x\right)^{4} + b \coth\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(tanh(x)^3/sqrt(c*coth(x)^4 + b*coth(x)^2 + a), x)","F",0
210,0,0,0,0.000000," ","integrate(coth(x)*(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c \coth\left(x\right)^{4} + b \coth\left(x\right)^{2} + a} \coth\left(x\right)\,{d x}"," ",0,"integrate(sqrt(c*coth(x)^4 + b*coth(x)^2 + a)*coth(x), x)","F",0
211,1,167,0,0.427549," ","integrate(exp(c*(b*x+a))*(coth(b*c*x+a*c)^2)^(5/2),x, algorithm=""maxima"")","-\frac{15 \, \log\left(e^{\left(b c x + a c\right)} + 1\right)}{8 \, b c} + \frac{15 \, \log\left(e^{\left(b c x + a c\right)} - 1\right)}{8 \, b c} + \frac{12 \, e^{\left(9 \, b c x + 9 \, a c\right)} - 123 \, e^{\left(7 \, b c x + 7 \, a c\right)} + 187 \, e^{\left(5 \, b c x + 5 \, a c\right)} - 157 \, e^{\left(3 \, b c x + 3 \, a c\right)} + 33 \, e^{\left(b c x + a c\right)}}{12 \, b c {\left(e^{\left(8 \, b c x + 8 \, a c\right)} - 4 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 6 \, e^{\left(4 \, b c x + 4 \, a c\right)} - 4 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}"," ",0,"-15/8*log(e^(b*c*x + a*c) + 1)/(b*c) + 15/8*log(e^(b*c*x + a*c) - 1)/(b*c) + 1/12*(12*e^(9*b*c*x + 9*a*c) - 123*e^(7*b*c*x + 7*a*c) + 187*e^(5*b*c*x + 5*a*c) - 157*e^(3*b*c*x + 3*a*c) + 33*e^(b*c*x + a*c))/(b*c*(e^(8*b*c*x + 8*a*c) - 4*e^(6*b*c*x + 6*a*c) + 6*e^(4*b*c*x + 4*a*c) - 4*e^(2*b*c*x + 2*a*c) + 1))","A",0
212,1,112,0,0.423854," ","integrate(exp(c*(b*x+a))*(coth(b*c*x+a*c)^2)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, \log\left(e^{\left(b c x + a c\right)} + 1\right)}{2 \, b c} + \frac{3 \, \log\left(e^{\left(b c x + a c\right)} - 1\right)}{2 \, b c} + \frac{e^{\left(5 \, b c x + 5 \, a c\right)} - 5 \, e^{\left(3 \, b c x + 3 \, a c\right)} + 2 \, e^{\left(b c x + a c\right)}}{b c {\left(e^{\left(4 \, b c x + 4 \, a c\right)} - 2 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}"," ",0,"-3/2*log(e^(b*c*x + a*c) + 1)/(b*c) + 3/2*log(e^(b*c*x + a*c) - 1)/(b*c) + (e^(5*b*c*x + 5*a*c) - 5*e^(3*b*c*x + 3*a*c) + 2*e^(b*c*x + a*c))/(b*c*(e^(4*b*c*x + 4*a*c) - 2*e^(2*b*c*x + 2*a*c) + 1))","A",0
213,1,56,0,0.422794," ","integrate(exp(c*(b*x+a))*(coth(b*c*x+a*c)^2)^(1/2),x, algorithm=""maxima"")","\frac{e^{\left(b c x + a c\right)}}{b c} - \frac{\log\left(e^{\left(b c x + a c\right)} + 1\right)}{b c} + \frac{\log\left(e^{\left(b c x + a c\right)} - 1\right)}{b c}"," ",0,"e^(b*c*x + a*c)/(b*c) - log(e^(b*c*x + a*c) + 1)/(b*c) + log(e^(b*c*x + a*c) - 1)/(b*c)","A",0
214,1,35,0,0.427472," ","integrate(exp(c*(b*x+a))/(coth(b*c*x+a*c)^2)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(e^{\left(b c x + a c\right)}\right)}{b c} + \frac{e^{\left(b c x + a c\right)}}{b c}"," ",0,"-2*arctan(e^(b*c*x + a*c))/(b*c) + e^(b*c*x + a*c)/(b*c)","A",0
215,1,90,0,0.419957," ","integrate(exp(c*(b*x+a))/(coth(b*c*x+a*c)^2)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, \arctan\left(e^{\left(b c x + a c\right)}\right)}{b c} + \frac{e^{\left(5 \, b c x + 5 \, a c\right)} + 5 \, e^{\left(3 \, b c x + 3 \, a c\right)} + 2 \, e^{\left(b c x + a c\right)}}{b c {\left(e^{\left(4 \, b c x + 4 \, a c\right)} + 2 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}"," ",0,"-3*arctan(e^(b*c*x + a*c))/(b*c) + (e^(5*b*c*x + 5*a*c) + 5*e^(3*b*c*x + 3*a*c) + 2*e^(b*c*x + a*c))/(b*c*(e^(4*b*c*x + 4*a*c) + 2*e^(2*b*c*x + 2*a*c) + 1))","A",0
216,1,145,0,0.421207," ","integrate(exp(c*(b*x+a))/(coth(b*c*x+a*c)^2)^(5/2),x, algorithm=""maxima"")","-\frac{15 \, \arctan\left(e^{\left(b c x + a c\right)}\right)}{4 \, b c} + \frac{12 \, e^{\left(9 \, b c x + 9 \, a c\right)} + 123 \, e^{\left(7 \, b c x + 7 \, a c\right)} + 187 \, e^{\left(5 \, b c x + 5 \, a c\right)} + 157 \, e^{\left(3 \, b c x + 3 \, a c\right)} + 33 \, e^{\left(b c x + a c\right)}}{12 \, b c {\left(e^{\left(8 \, b c x + 8 \, a c\right)} + 4 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 6 \, e^{\left(4 \, b c x + 4 \, a c\right)} + 4 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}"," ",0,"-15/4*arctan(e^(b*c*x + a*c))/(b*c) + 1/12*(12*e^(9*b*c*x + 9*a*c) + 123*e^(7*b*c*x + 7*a*c) + 187*e^(5*b*c*x + 5*a*c) + 157*e^(3*b*c*x + 3*a*c) + 33*e^(b*c*x + a*c))/(b*c*(e^(8*b*c*x + 8*a*c) + 4*e^(6*b*c*x + 6*a*c) + 6*e^(4*b*c*x + 4*a*c) + 4*e^(2*b*c*x + 2*a*c) + 1))","A",0
217,0,0,0,0.000000," ","integrate(sin(coth(b*x+a))^3,x, algorithm=""maxima"")","\int \sin\left(\coth\left(b x + a\right)\right)^{3}\,{d x}"," ",0,"integrate(sin(coth(b*x + a))^3, x)","F",0
218,0,0,0,0.000000," ","integrate(sin(coth(b*x+a))^2,x, algorithm=""maxima"")","\frac{1}{2} \, x - \frac{1}{2} \, \int \cos\left(\frac{2 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}{e^{\left(2 \, b x + 2 \, a\right)} - 1}\right)\,{d x}"," ",0,"1/2*x - 1/2*integrate(cos(2*(e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1)), x)","F",0
219,0,0,0,0.000000," ","integrate(sin(coth(b*x+a)),x, algorithm=""maxima"")","\int \sin\left(\coth\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(sin(coth(b*x + a)), x)","F",0
220,0,0,0,0.000000," ","integrate(csc(coth(b*x+a)),x, algorithm=""maxima"")","\int \csc\left(\coth\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(csc(coth(b*x + a)), x)","F",0
221,0,0,0,0.000000," ","integrate(cos(coth(b*x+a))^3,x, algorithm=""maxima"")","\int \cos\left(\coth\left(b x + a\right)\right)^{3}\,{d x}"," ",0,"integrate(cos(coth(b*x + a))^3, x)","F",0
222,0,0,0,0.000000," ","integrate(cos(coth(b*x+a))^2,x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{1}{2} \, \int \cos\left(\frac{2 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}{e^{\left(2 \, b x + 2 \, a\right)} - 1}\right)\,{d x}"," ",0,"1/2*x + 1/2*integrate(cos(2*(e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1)), x)","F",0
223,0,0,0,0.000000," ","integrate(cos(coth(b*x+a)),x, algorithm=""maxima"")","\int \cos\left(\coth\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(cos(coth(b*x + a)), x)","F",0
224,0,0,0,0.000000," ","integrate(sec(coth(b*x+a)),x, algorithm=""maxima"")","\int \sec\left(\coth\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(sec(coth(b*x + a)), x)","F",0
