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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: [mg76156] Re: Integrate[s^s(1-s)^(1-s)Sin[Pi s],{s,0,1}]
  • From: janos <janostothmeister at gmail.com>
  • Date: Thu, 17 May 2007 05:51:30 -0400 (EDT)
  • References: <f2bs3m$ga6$1@smc.vnet.net><f2emip$2sq$1@smc.vnet.net>

On May 16, 12:31 pm, CKWong <CKWon... at gmail.com> wrote:
> Are you serious?  We don't even know how to do
>
> Integrate[s^s, {s, 0, 1}]

Yes, I realized (only now :() this as well.
It is mystic how the Taylor series of the original integrand around
1/2 behaves.
It is quite nice up to 7, and fills up a few screens if you are
interested in the Taylor series up to say 9.
Any idea of the reason?

Janos



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