Primitive of x over a x squared plus b x plus c/Examples

Examples of Use of Primitive of $\dfrac x {a x^2 + b x + c}$

Primitive of $\dfrac x {x^2 + 4 x + 5}$

$\ds \int \dfrac {x \rd x} {x^2 + 4 x + 5} = \frac 1 2 \map \ln {x^2 + 4 x + 5} - 2 \map \arctan {x + 2} + C$