\[ \int \frac {\sqrt [3]{-1+x^3} \left (-1+2 x^3\right )}{x^7} \, dx \]
Optimal antiderivative \[ \frac {\left (-13 x^{3}+3\right ) \left (x^{3}-1\right )^{\frac {1}{3}}}{18 x^{6}}+\frac {5 \arctan \left (-\frac {\sqrt {3}}{3}+\frac {2 \left (x^{3}-1\right )^{\frac {1}{3}} \sqrt {3}}{3}\right ) \sqrt {3}}{27}+\frac {5 \ln \left (1+\left (x^{3}-1\right )^{\frac {1}{3}}\right )}{27}-\frac {5 \ln \left (1-\left (x^{3}-1\right )^{\frac {1}{3}}+\left (x^{3}-1\right )^{\frac {2}{3}}\right )}{54} \]
command
integrate((x**3-1)**(1/3)*(2*x**3-1)/x**7,x)
Sympy 1.10.1 under Python 3.10.4 output
\[ - \frac {2 \Gamma \left (\frac {2}{3}\right ) {{}_{2}F_{1}\left (\begin {matrix} - \frac {1}{3}, \frac {2}{3} \\ \frac {5}{3} \end {matrix}\middle | {\frac {e^{2 i \pi }}{x^{3}}} \right )}}{3 x^{2} \Gamma \left (\frac {5}{3}\right )} + \frac {\Gamma \left (\frac {5}{3}\right ) {{}_{2}F_{1}\left (\begin {matrix} - \frac {1}{3}, \frac {5}{3} \\ \frac {8}{3} \end {matrix}\middle | {\frac {e^{2 i \pi }}{x^{3}}} \right )}}{3 x^{5} \Gamma \left (\frac {8}{3}\right )} \]
Sympy 1.8 under Python 3.8.8 output
\[ \text {Timed out} \]________________________________________________________________________________________