I am faced with this question. I tried u-substitution and integration by parts but was not successful. A hint may also suffice. Thanks
$\int_{0}^{1} \frac{3x^3-x^2+2x-4}{\sqrt{x^2-3x+2}}dx$
I took out x-1 common from both the numerator and denominator only to find myself stuck further than I anticipated.
Substituting the radical as u , that is $u=\sqrt{x^2-3x+2}$
doesn't help either as then i cannot express the numerator in terms of u