\[ \int \frac {\tanh (c+d x)}{\sqrt {a \sinh ^2(c+d x)}} \, dx \]
Optimal antiderivative \[ \frac {\arctan \left (\frac {\sqrt {a \left (\sinh ^{2}\left (d x +c \right )\right )}}{\sqrt {a}}\right )}{d \sqrt {a}} \]
command
integrate(tanh(d*x+c)/(a*sinh(d*x+c)^2)^(1/2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {2 \, \arctan \left (e^{\left (d x + c\right )}\right )}{\sqrt {a} d \mathrm {sgn}\left (e^{\left (3 \, d x + 3 \, c\right )} - e^{\left (d x + c\right )}\right )} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \text {Exception raised: TypeError} \]________________________________________________________________________________________