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Caculating integral with binomial coefficient

  1. Sep 28, 2010 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations
    What is the integral of

    [tex]\int^{0}_{1} nCy x^{y} (1-x)^{n-y} dx[/tex] ?

    3. The attempt at a solution
    [tex]\left(nCy\right)[/tex] [tex]\int^{0}_{1} x^{y} (1-x)^{n-y} dx[/tex]
  2. jcsd
  3. Sep 28, 2010 #2


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    Re: integral

    It looks like a beta function to me.
  4. Sep 29, 2010 #3
    Re: integral

    Thank you for your good idea Dick! =)
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