challenging integration

*To*: mathgroup at smc.vnet.net*Subject*: [mg13323] challenging integration*From*: quartier at umnw.ethz.ch (Robin Quartier)*Date*: Mon, 20 Jul 1998 02:49:45 -0400*Organization*: ETH Zurich*Sender*: owner-wri-mathgroup at wolfram.com

Hi everybody. I have a function defined as follow: e2=ab/(a^2-b^2)*{t1*Cosh[b*x]-t2*Cosh[ax]-a*Sinh[bx]+b*Sinh[ax]} t1 and t2 are defined as follow: t1=a/Tanh[b*Pi] t2=b/Tanh[a*Pi] The parameters a,b are both positives. x varies between 0 and Pi I would like to calculate Integrate[e2*Log[e2],x] Mathematica seems to have some problems doing this. After hours, it returns the result unevaluated. If anyone as some spare time and fell like giving it a try...any help, question and comments are welcomed! Yours Rob.