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