\[ \int \frac {x}{\sqrt {-4+12 x-9 x^2}} \, dx \]
Optimal antiderivative \[ -\frac {2 \left (2-3 x \right ) \ln \left (2-3 x \right )}{9 \sqrt {-\left (-2+3 x \right )^{2}}}-\frac {\sqrt {-\left (-2+3 x \right )^{2}}}{9} \]
command
integrate(x/(-(-2+3*x)^2)^(1/2),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {i \, x}{3 \, \mathrm {sgn}\left (-3 \, x + 2\right )} + \frac {2 i \, \log \left ({\left | 3 \, x - 2 \right |}\right )}{9 \, \mathrm {sgn}\left (-3 \, x + 2\right )} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \mathit {undef} \]________________________________________________________________________________________