Category:Examples of Use of Primitive of x over a x squared plus b x plus c

This category contains examples of use of Primitive of $\dfrac x {a x^2 + b x + c}$.

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

Then:

$\ds \int \frac {x \rd x} {a x^2 + b x + c} = \frac 1 {2 a} \ln \size {a x^2 + b x + c} - \frac b {2 a} \int \frac {\d x} {a x^2 + b x + c}$