Evaluate ∫0π/2sinn(x)dx\int_0^{\pi/2} \sin^n(x) dx∫0π/2sinn(x)dx for n=4n=4n=4.
3π16\frac{3\pi}{16}163π
3π8\frac{3\pi}{8}83π
π4\frac{\pi}{4}4π
5π16\frac{5\pi}{16}165π