# Math Help - tough trigonometric indefinite integral

1. ## tough trigonometric indefinite integral

$\int\frac{1}{(\sin x)\sqrt{1-x^2}}dx$

I thought maybe we could let $u=\arcsin x$. Then we would have to solve

$\int\frac{1}{\sin(\sin u)}du$.

Unfortunately, I can't integrate that one either.

Any help would be much appreciated!

2. It does not exist in elementary terms. See this thread: Trouble with a seemingly trivial integral.