\[ \int \frac {\cosh (c+d x)}{a+b \tanh ^2(c+d x)} \, dx \]
Optimal antiderivative \[ \frac {\sinh \! \left (d x +c \right )}{\left (a +b \right ) d}+\frac {b \arctan \! \left (\frac {\sinh \left (d x +c \right ) \sqrt {a +b}}{\sqrt {a}}\right )}{\left (a +b \right )^{\frac {3}{2}} d \sqrt {a}} \]
command
integrate(cosh(d*x+c)/(a+b*tanh(d*x+c)^2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \text {Exception raised: TypeError} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {output too large to display} \]