\[ \int \frac {F^{a+b x}}{x^{7/2}} \, dx \]
Optimal antiderivative \[ -\frac {2 F^{b x +a}}{5 x^{\frac {5}{2}}}-\frac {4 b \,F^{b x +a} \ln \left (F \right )}{15 x^{\frac {3}{2}}}+\frac {8 b^{\frac {5}{2}} F^{a} \erfi \left (\sqrt {b}\, \sqrt {x}\, \sqrt {\ln \left (F \right )}\right ) \ln \left (F \right )^{\frac {5}{2}} \sqrt {\pi }}{15}-\frac {8 b^{2} F^{b x +a} \ln \left (F \right )^{2}}{15 \sqrt {x}} \]
command
integrate(F**(b*x+a)/x**(7/2),x)
Sympy 1.10.1 under Python 3.10.4 output
\[ - \frac {4 F^{a} F^{b x} b \log {\left (F \right )}}{15 x^{\frac {3}{2}}} - \frac {2 F^{a} F^{b x}}{5 x^{\frac {5}{2}}} \]
Sympy 1.8 under Python 3.8.8 output
\[ \text {Timed out} \]________________________________________________________________________________________