\[ \int \frac {2-3 x^5}{\sqrt {1+x^5} \left (1-a x^2+x^5\right )} \, dx \]
Optimal antiderivative \[ \frac {2 \arctanh \left (\frac {\sqrt {a}\, x}{\sqrt {x^{5}+1}}\right )}{\sqrt {a}} \]
command
Integrate[(2 - 3*x^5)/(Sqrt[1 + x^5]*(1 - a*x^2 + x^5)),x]
Mathematica 13.1 output
\[ \frac {2 \tanh ^{-1}\left (\frac {\sqrt {a} x}{\sqrt {1+x^5}}\right )}{\sqrt {a}} \]
Mathematica 12.3 output
\[ \int \frac {2-3 x^5}{\sqrt {1+x^5} \left (1-a x^2+x^5\right )} \, dx \]________________________________________________________________________________________