# Is there an easier way to do this integral?

1. Mar 16, 2006

### G01

$$\int_{-1}^1 x^8\sin x dx$$

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.

2. Mar 16, 2006

### Hammie

3. Mar 16, 2006

### Hammie

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

4. Mar 16, 2006

### Hurkyl

Staff Emeritus
As Hammie said, it's often helpful to understand your function! Have you tried anything like plotting it?

5. Mar 16, 2006

### G01

AHHHHHHH!!!!!!!!!!!! sin(x) is odd!!!!!!!!!! The area under the graph of this function between 1 and -1 is 0! Thanks alot.