Primitive of Power of x over a x squared plus b x plus c

Theorem
Let $a \in \R_{\ne 0}$.

Then:
 * $\displaystyle \int \frac {x^m \ \mathrm d x} {a x^2 + b x + c} = \frac {x^{m-1} } {\left({m - 1}\right) a} - \frac b a \int \frac {x^{m-1} \ \mathrm d x} {a x^2 + b x + c} - \frac c a \int \frac {x^{m-2} \ \mathrm d x} {a x^2 + b x + c}$