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

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

Then:
 * $\displaystyle \int \frac {x^{2 n - 1} \ \mathrm d x} {\left({a x^2 + b x + c}\right)^n} = \frac 1 a \int \frac {x^{2 n - 3} \ \mathrm d x} {\left({a x^2 + b x + c}\right)^{n - 1} } - \frac c a \int \frac {x^{2 n - 3} \ \mathrm d x} {\left({a x^2 + b x + c}\right)^n} - \frac b a \int \frac {x^{2 n - 2} \ \mathrm d x} {\left({a x^2 + b x + c}\right)^n}$