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Re: Incorrect integral in Mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg91389] Re: Incorrect integral in Mathematica
  • From: amzoti <amzoti at gmail.com>
  • Date: Tue, 19 Aug 2008 07:16:41 -0400 (EDT)
  • References: <g8b8t8$8pq$1@smc.vnet.net>

On Aug 18, 12:38 am, Eran Mukamel <emuka... at stanford.edu> wrote:
> Hi All,
>
> I'm getting a nonsensical answer of 0 for the following integral in Mathe=
matica 5.0 (Mac OSX):
>
> Integrate[Exp[-x^2/(2w^2)]Exp[-(y - y0)^2/(2z^2)],
>   {x, -Infinity, Infinity}, {y, -Infinity, Infinity}]
>
> The result should be (2 Pi w z).  Any ideas why this fails?
>
> Thanks in advance, Eran

I tried this integral in version 4 on a PC and got the correct answer
(although in a slightly different form).:

(2*Pi)/(Sqrt[1/w^2]*Sqrt[1/z^2])


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