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MathGroup Archive 2007

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Re: Integrate[s^s(1-s)^(1-s)Sin[Pi s],{s,0,1}]

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  • Subject: [mg76119] Re: Integrate[s^s(1-s)^(1-s)Sin[Pi s],{s,0,1}]
  • From: dimitris <dimmechan at>
  • Date: Wed, 16 May 2007 05:41:11 -0400 (EDT)
  • References: <f2bs3m$ga6$>

I doubt if there is a CAS that will get a closed form result for this

Did you try contour integration

Table of Integrals, Series, and Products, Sixth Edition
by I. S. Gradshteyn (Editor), I. M. Ryzhik (Editor), Alan Jeffrey
(Author), Daniel Zwillinger (Author)

and the more extended series of books of

A=2E P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev



=CF/=C7 janos =DD=E3=F1=E1=F8=E5:
> Any idea to calculate this integral (symbolically) or reformulate it
> using some special functions?
> Thanks, Janos

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