\[ \int \frac {1}{\left (\frac {c}{(a+b x)^{3/2}}\right )^{2/3}} \, dx \]
Optimal antiderivative \[ \frac {b x +a}{2 b \left (\frac {c}{\left (b x +a \right )^{\frac {3}{2}}}\right )^{\frac {2}{3}}} \]
command
integrate(1/(c/(b*x+a)^(3/2))^(2/3),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ +\infty \]
Giac 1.7.0 via sagemath 9.3 output
\[ \int \frac {1}{\left (\frac {c}{{\left (b x + a\right )}^{\frac {3}{2}}}\right )^{\frac {2}{3}}}\,{d x} \]________________________________________________________________________________________