How to solve this integral?

1. Oct 15, 2006

KingNothing

How does one solve this integral?
$$\int {x * \left( {\sin x} \right)} ^{ - 1} dx$$

2. Oct 15, 2006

Zelos

3. Oct 15, 2006

arildno

By numerical means, i would presume.

4. Oct 15, 2006

KingNothing

I would appreciate some sincere responses on how to solve it, by hand.

5. Oct 15, 2006

HallsofIvy

Staff Emeritus
You were given two "sincere" responses. The "anti-derivative" of that is not an "elementary" function. According to the web-site Zelos gave you that involves the "Li" function.