$\displaystyle \frac{dx}{\sin \frac{x}{2} \sqrt (Cos^3 \frac{x}{2})}$

That is the question. All that is there to it.

How do we proceed? I am thinking of sing double angle formla and making it sinx and sqrtcosx/2 in the denominator, bt not sre how that'll help.

Also, another thing on my mind is that if i substitute cos^2 (x/2) or Sin^2 (x/2) as another variable u, then du wold be in terms of sinxdx