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