# Definite Integral Challenge

Calculus Level 3

$\large \int_{0}^{2}\frac{\left ( 16-x^2 \right )x}{16-x^2+\sqrt{\left ( 4-x \right )\left ( 4+x \right )\left ( 12+x^2 \right )}}\, dx$

The integral above has a simple closed form. Find this closed form.