Primitive of x over x squared minus a squared

Theorem

 * $\displaystyle \int \frac {x \rd x} {x^2 - a^2} = \frac 1 2 \map \ln {x^2 - a^2} + C$

for $x^2 > a^2$.

Proof
Let:

Also see

 * Primitive of $\dfrac x {a^2 - x^2}$