\[ \int x^4 \coth ^{-1}(\tanh (a+b x))^3 \, dx \]
Optimal antiderivative \[ -\frac {b^{3} x^{8}}{280}+\frac {b^{2} x^{7} \mathrm {arccoth}\! \left (\tanh \! \left (b x +a \right )\right )}{35}-\frac {b \,x^{6} \mathrm {arccoth}\! \left (\tanh \! \left (b x +a \right )\right )^{2}}{10}+\frac {x^{5} \mathrm {arccoth}\! \left (\tanh \! \left (b x +a \right )\right )^{3}}{5} \]
command
int(x^4*arccoth(tanh(b*x+a))^3,x)
Maple 2022.1 output
\[\int x^{4} \mathrm {arccoth}\left (\tanh \left (b x +a \right )\right )^{3}\, dx\]
Maple 2021.1 output
\[ \text {output too large to display} \]