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