Wallis formula for odd powers for JEE

Formula

\[\int_0^{\pi/2}\sin^{2n+1}x\,dx=\int_0^{\pi/2}\cos^{2n+1}x\,dx=\frac{(2n)!!}{(2n+1)!!}\]

Variables: \(n\in\mathbb{N}_0\).

Standard definite values for odd powers.