Primitive of x cubed over x squared minus a squared squared

Theorem

 * $\ds \int \frac {x^3 \rd x} {\paren {x^2 - a^2}^2} = \frac {-a^2} {2 \paren {x^2 - a^2} } + \frac 1 2 \map \ln {x^2 - a^2} + C$

for $x^2 > a^2$.

Also see

 * Primitive of $\dfrac {x^3} {\paren {a^2 - x^2}^2}$