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Integration By Parts

  1. Sep 19, 2007 #1

    danago

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    Gold Member

    Hi. When evaluating an integral such as:

    [tex]
    \int {x^4 e^x dx}
    [/tex]

    Is integrating by parts 4 times the best method, or is there a more efficient way?

    Thanks in advance,
    Dan.
     
  2. jcsd
  3. Sep 19, 2007 #2
    I think you are gonna have to do parts 4 times.
     
  4. Sep 19, 2007 #3

    rock.freak667

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    Homework Helper

    Well if the problem was a definite integral for example say:
    [itex]\int_{0}^{1} x^4e^x dx [/itex]

    you could easily make a reduction formula for easy calculations. But that is a different question altogether. As previously stated you would have to integrate by parts at 4 times
     
  5. Sep 19, 2007 #4

    danago

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    Gold Member

    Alright, thanks for the replies guys :smile:
     
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