89.8 Problem number 76

\[ \int \frac {\sinh (c+d x)}{a+b \tanh ^3(c+d x)} \, dx \]

Optimal antiderivative \[ -i \mathit {Unintegrable} \left (\frac {i \sinh \left (d x +c \right )}{a +b \left (\tanh ^{3}\left (d x +c \right )\right )}, x\right ) \]

command

integrate(sinh(d*x+c)/(a+b*tanh(d*x+c)^3),x, algorithm="fricas")

Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output

\[ \text {output too large to display} \]

Fricas 1.3.7 via sagemath 9.3 output \[ \text {Timed out} \]