# tough trigonometric indefinite integral

• September 6th 2010, 02:06 PM
hatsoff
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!
• September 6th 2010, 02:13 PM
TheCoffeeMachine
It does not exist in elementary terms. See this thread: Trouble with a seemingly trivial integral.