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Another Mathematica 6 bug?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg86284] Another Mathematica 6 bug?
  • From: Francogrex <franco at grex.org>
  • Date: Fri, 7 Mar 2008 02:31:40 -0500 (EST)

This integration below:
FullSimplify[Integrate[p*p^X*(1 - p)^(n - X)*p^(X - 1/2)*
    (1 - p)^(n - X - 1/2), {p, 0, 1}, GenerateConditions -> False]]

Should give:
(Gamma[1/2 + 2*n - 2*X]*Gamma[3/2 + 2*X])/Gamma[2 + 2*n]

Instead in mathematica 6, it's giving:
(1/2)*Pi*(4*X + 1)*Hypergeometric2F1[-2*n, 2*X + 3/2, 2,
1]*Sec[2*Pi*X]

Something wrong?


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