\[ \int \frac {\left (7+5 x^2\right )^3}{\left (2+x^2-x^4\right )^{3/2}} \, dx \]
Optimal antiderivative \[ -\frac {7147 \EllipticE \left (\frac {x \sqrt {2}}{2}, i \sqrt {2}\right )}{18}+\frac {1763 \EllipticF \left (\frac {x \sqrt {2}}{2}, i \sqrt {2}\right )}{6}+\frac {x \left (4897 x^{2}+4945\right )}{18 \sqrt {-x^{4}+x^{2}+2}} \]
command
Integrate[(7 + 5*x^2)^3/(2 + x^2 - x^4)^(3/2),x]
Mathematica 13.1 output
\[ \frac {1}{18} \left (\frac {4945 x}{\sqrt {2+x^2-x^4}}+\frac {4897 x^3}{\sqrt {2+x^2-x^4}}-7147 i \sqrt {2} E\left (i \sinh ^{-1}(x)|-\frac {1}{2}\right )+8076 i \sqrt {2} F\left (i \sinh ^{-1}(x)|-\frac {1}{2}\right )\right ) \]
Mathematica 12.3 output
\[ \text {\$Aborted} \]________________________________________________________________________________________