Find \(\displaystyle\int \dfrac{\sin(\theta)\cos(\theta)}{(3+5\sin^2(\theta)-2\cos^2(\theta))^{1/3}}

Question

Find $\displaystyle\int \dfrac{\sin(\theta)\cos(\theta)}{(3+5\sin^2(\theta)-2\cos^2(\theta))^{1/3}}\,\mathrm{d}\theta$.

Accepted Answer

$\dfrac{3}{28}(3+5\sin^2(\theta)-2\cos^2(\theta))^{2/3}+C$

Mixed Integration Techniques