$\int \frac{\sin x \cos x}{\sqrt{1-\sin ^4 x}} d x$ is equal to

Question

Professor PC Thomas Classes · Answer

Let $\sin^2 x = t \Rightarrow 2\sin x\cos x dx = dt$. $\frac{1}{2}\int \frac{dt}{\sqrt{1-t^2}} = \frac{1}{2}\sin^{-1}(\sin^2 x) + c$.