Can't reproduce a solution found in a paper using Mathematica

*To*: mathgroup at smc.vnet.net*Subject*: [mg102845] Can't reproduce a solution found in a paper using Mathematica*From*: Neelsonn <neelsonn at gmail.com>*Date*: Sun, 30 Aug 2009 06:06:17 -0400 (EDT)

Guys, This is what I want to solve: J \!\( \*SubsuperscriptBox[\(\[Integral]\), \(0\), \(b\)]\( \*SubsuperscriptBox[\(\[Integral]\), \(0\), \(a\)] \(\*FractionBox[\(\[Rho]\ J\), \(2\ t\)]\)[x \((a - x)\) - FractionBox[\(8 \*SuperscriptBox[\(a\), \(2\)]\), SuperscriptBox[\(\[Pi]\), \(3\)]] \( \*UnderoverscriptBox[\(\[Sum]\), \(m = 0\), \(\[Infinity]\)] \*SuperscriptBox[\((2 m + 1)\), \(-3\)]\ *\ \*FractionBox[\(Cosh[ \*FractionBox[\(\((2 m + 1)\) \[Pi]\ y\), \(a\)]]\), \(Cosh[ \*FractionBox[\(\((2 m + 1)\) \[Pi]\ b\), \(a\)]]\)]\ *\ Sin[ \*FractionBox[\(\((2 m + 1)\) \[Pi]\ x\), \(a\)]]\)] \[DifferentialD]x \ \[DifferentialD]y\)\) ...and this is the solution that I found in a publication: (\[Rho] J^2)/(2 t)*[(a^3 b)/6 - (16 a^4)/\[Pi]^5 \!\( \*UnderoverscriptBox[\(\[Sum]\), \(m = 0\), \(\[Infinity]\)]\( SuperscriptBox[\((2 m + 1)\), \(-5\)] Tanh[ \*FractionBox[\(\((2 m + 1)\) \[Pi]\ b\), \(a\)]]\)\)] I am simply not able to reproduce that with Mathematica. The obvious questions is: why? If someone would be willing to have a look at the the paper I could sent it over. I may say that the paper dated back from the 70's and at that time Mathematica wasn't available (people were smart at that time!!!! lol) Thanks again, N