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