Primitive of x squared over x squared minus a squared/Logarithm Form

Theorem

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

for $x^2 > a^2$.

Proof
Let: