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Is there an easier way to do this integral?

  1. Mar 16, 2006 #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.
     
  2. jcsd
  3. Mar 16, 2006 #2
  4. Mar 16, 2006 #3
    I notice that it is a definite integral. If you know what kind of function this is, there is a real shortcut..
     
  5. Mar 16, 2006 #4

    Hurkyl

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    As Hammie said, it's often helpful to understand your function! Have you tried anything like plotting it?
     
  6. Mar 16, 2006 #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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