$\displaystyle \int_{0}^{\pi /2}{\frac{dx}{1-\sin (x)\cos (x)}}$

i saw this integral in a previous post and i'm curious on how to do it. i tried a wierstrauss substitution but that seems to make the problem extremely complicated. i also tried rewriting as $\displaystyle {\frac{dx}{1-{\frac{1}{2}}\sin (2x)}}$ but i'm not sure on what to do next.

what would be the best way to tackle this integral?