\[ \int \frac {x^6}{\left (1-x^4\right )^{3/2}} \, dx \]
Optimal antiderivative \[ -\frac {3 \EllipticE \left (x , i\right )}{2}+\frac {3 \EllipticF \left (x , i\right )}{2}+\frac {x^{3}}{2 \sqrt {-x^{4}+1}} \]
command
integrate(x^6/(-x^4+1)^(3/2),x, algorithm="fricas")
Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output
\[ \frac {{\left (2 \, x^{4} - 3\right )} \sqrt {-x^{4} + 1}}{2 \, {\left (x^{5} - x\right )}} \]
Fricas 1.3.7 via sagemath 9.3 output
\[ {\rm integral}\left (\frac {\sqrt {-x^{4} + 1} x^{6}}{x^{8} - 2 \, x^{4} + 1}, x\right ) \]