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Re: How to specify these limits in an integral?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg63458] Re: [mg63434] How to specify these limits in an integral?
  • From: Pratik Desai <pdesai1 at umbc.edu>
  • Date: Sun, 1 Jan 2006 01:16:11 -0500 (EST)
  • References: <200512311140.GAA28024@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Konrad Den Ende wrote:

>I have a double integral of the function f = x * y. I'd
>like make Mathematica compute it's value over the
>disc specified by, let's say:
>x^2 + y^2 - 2x + 6y <=6
>
>I can carry out computation on paper, preparing the
>sutabile substitutions myself but i wonder if there's
>a way to shove it all into Mathematica and let it chew.
>
>Sincerely
>Konrad
>
>
>  
>
How about something like this
Integrate[(x*y)*Boole[x^2 + y^2 - 2*x + 6*y <= 6], {x, -Infinity, 
Infinity}, {y, -Infinity, Infinity}]

Pratik


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