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