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New user - Integration domain question

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


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]}]'
'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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