Primitive of p x + q over a x squared plus 2 b x plus c

Theorem

 * $\ds \int \dfrac {p x + q} {a x^2 + 2 b x + c} \rd x = \dfrac p {2 a} \ln \size {a x^2 + 2 b x + x} + \paren {q - \dfrac {p b} a} \int \dfrac {\d x} {a^2 + 2 b x + c} + C$