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Is this a known special function:

$$\int\nolimits_0^1 a^p(1-a)^{1-p}\\,b^{1-p}\\,(1-b)^p dp\qquad ?$$

I am really only interested in maximizing this over $(a,b)$ in $[0,1] \times [0,1]$, so a pointer to a nice numerical evaluation is appreciated as much or more so than an unstable exact formula.
Thanks for any help

  • 0
    title: "known" :)2010-11-09
  • 0
    What's the range of your $p$?2010-11-09

1 Answers 1