Is there an easier way to do this integral?

  • Thread starter G01
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  • #1
G01
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[tex] \int_{-1}^1 x^8\sin x dx [/tex]

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.:smile:

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

Answers and Replies

  • #3
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I notice that it is a definite integral. If you know what kind of function this is, there is a real shortcut..
 
  • #4
Hurkyl
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As Hammie said, it's often helpful to understand your function! Have you tried anything like plotting it?
 
  • #5
G01
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AHHHHHHH!!!!!!!!!!!! sin(x) is odd!!!!!!!!!! The area under the graph of this function between 1 and -1 is 0! Thanks alot.
 

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