Re: A definite Integral

*To*: mathgroup at yoda.physics.unc.edu*Subject*: Re: A definite Integral*From*: jacobson at cello.hpl.hp.com*Date*: Tue, 17 Mar 92 11:27:35 -0800

Joel Storch <storch at draper.com> writes > Consider the definite integral of: x^3/(Exp[x]-1) from 0 to infinity. > The value is knownto be Pi^4/15. When trying to evaluate this integral > in Mathematica, the application quits for no apparent reason. Macsyma > gives the result: -Pi^4/15 plus terms involving Polylogarithms (with > an unevaluated limit). I can't get Macsyma to "evaluate" the indicated > limit. > > Joel Storch <storch at draper.com> I had no problem with this integral in version Mathematica 2.0 for HP-UX: In[1]:= Integrate[x^3/(Exp[x]-1),{x,0,Infinity}] 4 Pi Out[1]= --- 15 -- David Jacobson