\[ \int F^{a+b x} x^{5/2} \, dx \]
Optimal antiderivative \[ -\frac {5 F^{b x +a} x^{\frac {3}{2}}}{2 b^{2} \ln \left (F \right )^{2}}+\frac {F^{b x +a} x^{\frac {5}{2}}}{b \ln \left (F \right )}-\frac {15 F^{a} \erfi \left (\sqrt {b}\, \sqrt {x}\, \sqrt {\ln \left (F \right )}\right ) \sqrt {\pi }}{8 b^{\frac {7}{2}} \ln \left (F \right )^{\frac {7}{2}}}+\frac {15 F^{b x +a} \sqrt {x}}{4 b^{3} \ln \left (F \right )^{3}} \]
command
integrate(F**(b*x+a)*x**(5/2),x)
Sympy 1.10.1 under Python 3.10.4 output
\[ - \frac {4 F^{a} F^{b x} b x^{\frac {9}{2}} \log {\left (F \right )}}{63} + \frac {2 F^{a} F^{b x} x^{\frac {7}{2}}}{7} \]
Sympy 1.8 under Python 3.8.8 output
\[ \text {Timed out} \]________________________________________________________________________________________