\[ \int \left (7+5 x^2\right ) \left (2+x^2-x^4\right )^{3/2} \, dx \]
Optimal antiderivative \[ \frac {x \left (35 x^{2}+48\right ) \left (-x^{4}+x^{2}+2\right )^{\frac {3}{2}}}{63}+\frac {4432 \EllipticE \left (\frac {x \sqrt {2}}{2}, i \sqrt {2}\right )}{315}+\frac {418 \EllipticF \left (\frac {x \sqrt {2}}{2}, i \sqrt {2}\right )}{105}+\frac {x \left (669 x^{2}+1087\right ) \sqrt {-x^{4}+x^{2}+2}}{315} \]
command
Integrate[(7 + 5*x^2)*(2 + x^2 - x^4)^(3/2),x]
Mathematica 13.1 output
\[ \frac {3134 x+4085 x^3-438 x^5-1674 x^7-110 x^9+175 x^{11}+4432 i \sqrt {4+2 x^2-2 x^4} E\left (i \sinh ^{-1}(x)|-\frac {1}{2}\right )-7275 i \sqrt {4+2 x^2-2 x^4} F\left (i \sinh ^{-1}(x)|-\frac {1}{2}\right )}{315 \sqrt {2+x^2-x^4}} \]
Mathematica 12.3 output
\[ \text {\$Aborted} \]________________________________________________________________________________________