\[ \int \frac {1}{x \coth ^{-1}(\tanh (a+b x))^3} \, dx \]
Optimal antiderivative \[ -\frac {1}{2 \left (b x -\mathrm {arccoth}\left (\tanh \left (b x +a \right )\right )\right ) \mathrm {arccoth}\left (\tanh \left (b x +a \right )\right )^{2}}+\frac {1}{\left (b x -\mathrm {arccoth}\left (\tanh \left (b x +a \right )\right )\right )^{2} \mathrm {arccoth}\left (\tanh \left (b x +a \right )\right )}-\frac {\ln \left (x \right )}{\left (b x -\mathrm {arccoth}\left (\tanh \left (b x +a \right )\right )\right )^{3}}+\frac {\ln \left (\mathrm {arccoth}\left (\tanh \left (b x +a \right )\right )\right )}{\left (b x -\mathrm {arccoth}\left (\tanh \left (b x +a \right )\right )\right )^{3}} \]
command
int(1/x/arccoth(tanh(b*x+a))^3,x)
Maple 2022.1 output
\[\text {output too large to display}\]
Maple 2021.1 output
\[ \int \frac {1}{x \mathrm {arccoth}\left (\tanh \left (b x +a \right )\right )^{3}}\, dx \]________________________________________________________________________________________