Evaluate the integral $\displaystyle \int \frac{3x^{2}-7}{x^{3}-7x+6}\,dx$ using $\displaystyle \frac{A}{x-1} +\frac{B}{x+3} +\frac{C}{x-2}$.

$\displaystyle \int \frac{3x^{2}-7}{x^{3}-7x+6}\,dx =$