$\begin{align*} \int \limits_{\large\frac{\pi}{3}}^{\large\frac{\pi}{2}}\frac{\sqrt {1+\cos x}}{(1- \cos x)^{5/2}}dx \end{align*}$

Question

$\begin{array}{1 1} 0 \\ 1 \\ \large\frac{3}{2} \\ 2 \end{array}$