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Integral_0^1 x^p exp(-tx)

  1. Jun 2, 2009 #1
    1. The problem statement, all variables and given/known data

    Integral_0^1 x^p exp(-tx)dx where p=3/4. 5/4 and 7/4

    2. Relevant equations

    Can somebody tell me the final solution and the detailed procedure to get the final solution for this.

    3. The attempt at a solution

    I tried using gamma distribution and integration by parts but nothing worked.


    Thanks
    Kannan
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited: Jun 2, 2009
  2. jcsd
  3. Jun 2, 2009 #2

    Avodyne

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    Science Advisor

    This can be expressed in terms of the incomplete gamma function (see wikipedia), but otherwise cannot be done in closed form.
     
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