\[ \int \frac {4 x+3 x^2}{\sqrt {-5+4 x^2+2 x^3+4 x^4+4 x^5+x^6}} \, dx \]
Optimal antiderivative \[ \ln \left (1+2 x^{2}+x^{3}+\sqrt {x^{6}+4 x^{5}+4 x^{4}+2 x^{3}+4 x^{2}-5}\right ) \]
command
Integrate[(4*x + 3*x^2)/Sqrt[-5 + 4*x^2 + 2*x^3 + 4*x^4 + 4*x^5 + x^6],x]
Mathematica 13.1 output
\[ \log \left (1+2 x^2+x^3+\sqrt {-5+4 x^2+2 x^3+4 x^4+4 x^5+x^6}\right ) \]
Mathematica 12.3 output
\[ \int \frac {4 x+3 x^2}{\sqrt {-5+4 x^2+2 x^3+4 x^4+4 x^5+x^6}} \, dx \]________________________________________________________________________________________