# Is there an easier way to do this integral?

Homework Helper
Gold Member
$$\int_{-1}^1 x^8\sin x dx$$

I know I can do this using integration by parts. But I'd have to do integration by parts 8 times and since I plan on passing calc 2 at the end of this semester I need a quicker way.

If anyone has any hints for me or anything please post them. Thank you for your help.

## Answers and Replies

I notice that it is a definite integral. If you know what kind of function this is, there is a real shortcut..

Hurkyl
Staff Emeritus