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MathGroup Archive 2004

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New user - Integration domain question

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52566] New user - Integration domain question
  • From: Bod <none at none.ch>
  • Date: Thu, 2 Dec 2004 02:21:21 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello,

I'm trying to integrate a gaussian over a circle (radius r) domain
(in the x-y plane) by the way of a double integral :

'Integrate[f[x, y], {x, 0, r}, {y, -Sqrt[r - x^2], Sqrt[r - x^2]}]'
and
'Integrate[f[x, y], {x, -r, 0}, {y, -Sqrt[r - x^2], Sqrt[r - x^2]}]'

Unfortunately, Mathematica v.5 does not seem to respond correctly
and returns 'SeriesData::csa' errors.

Is there a simple way to solve this problem ? I expect to get
the volume of the gaussian located over the circle.
I'll then add offsets to the center of the circle (x0,y0).

Many thanks for your answers.

With kindest regards,
B. Oliver


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