Primitive of x cubed over Root of a squared minus x squared cubed

Theorem

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

Also see

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