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

*To*: mathgroup at smc.vnet.net*Subject*: [mg76201] Re: Integrate[s^s(1-s)^(1-s)Sin[Pi s],{s,0,1}]*From*: Nacho <ncc1701zzz at gmail.com>*Date*: Thu, 17 May 2007 06:14:42 -0400 (EDT)*References*: <f2bs3m$ga6$1@smc.vnet.net>

On May 15, 10:47 am, janos <janostothmeis... at gmail.com> wrote: > Any idea to calculate this integral (symbolically) or reformulate it > using some special functions? > > Thanks, Janos I don't know if Mathematica can calculate it simbolically, but if you calculate it numerically with enough precision, you can use the Plouffe's Inverter ( http://pi.lacim.uqam.ca/eng/ ) to check that it is Pi*E/24 (or at least, very very close to) NIntegrate[s^s(1-s)^(1-s)Sin[Pi s],{s,0,1}, WorkingPrecision->40] 0.355822259278065294394314619564 N[Pi*E/24,30] 0.355822259278065294394314619564 Regards.