\[ \int \frac {\left (7+5 x^2\right )^3}{\sqrt {2+x^2-x^4}} \, dx \]
Optimal antiderivative \[ \frac {3905 \EllipticE \left (\frac {x \sqrt {2}}{2}, i \sqrt {2}\right )}{3}-542 \EllipticF \left (\frac {x \sqrt {2}}{2}, i \sqrt {2}\right )-\frac {625 x \sqrt {-x^{4}+x^{2}+2}}{3}-25 x^{3} \sqrt {-x^{4}+x^{2}+2} \]
command
integrate((5*x^2+7)^3/(-x^4+x^2+2)^(1/2),x, algorithm="fricas")
Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output
\[ -\frac {5 \, {\left (15 \, x^{4} + 125 \, x^{2} + 781\right )} \sqrt {-x^{4} + x^{2} + 2}}{3 \, x} \]
Fricas 1.3.7 via sagemath 9.3 output
\[ {\rm integral}\left (-\frac {{\left (125 \, x^{6} + 525 \, x^{4} + 735 \, x^{2} + 343\right )} \sqrt {-x^{4} + x^{2} + 2}}{x^{4} - x^{2} - 2}, x\right ) \]