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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}]

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

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

Did you try contour integration
or
Table-lookup?

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

?

Dimitris



=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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