\[ \int \frac {x^{2/3}}{(a+b x)^3} \, dx \]
Optimal antiderivative \[ -\frac {x^{\frac {2}{3}}}{2 b \left (b x +a \right )^{2}}+\frac {x^{\frac {2}{3}}}{3 a b \left (b x +a \right )}-\frac {\ln \left (a^{\frac {1}{3}}+b^{\frac {1}{3}} x^{\frac {1}{3}}\right )}{6 a^{\frac {4}{3}} b^{\frac {5}{3}}}+\frac {\ln \left (b x +a \right )}{18 a^{\frac {4}{3}} b^{\frac {5}{3}}}-\frac {\arctan \left (\frac {\left (a^{\frac {1}{3}}-2 b^{\frac {1}{3}} x^{\frac {1}{3}}\right ) \sqrt {3}}{3 a^{\frac {1}{3}}}\right ) \sqrt {3}}{9 a^{\frac {4}{3}} b^{\frac {5}{3}}} \]
command
integrate(x**(2/3)/(b*x+a)**3,x)
Sympy 1.10.1 under Python 3.10.4 output
\[ \text {output too large to display} \]
Sympy 1.8 under Python 3.8.8 output \[ \text {Timed out} \]_____________________________________________________