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Re: How to specify these limits in an integral?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg63449] Re: [mg63434] How to specify these limits in an integral?
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Sun, 1 Jan 2006 01:16:02 -0500 (EST)
  • Reply-to: hanlonr at cox.net
  • Sender: owner-wri-mathgroup at wolfram.com

Needs["Graphics`ImplicitPlot`"];

f[x_,y_]:=x*y;

ImplicitPlot[x^2+y^2-2x+6y==6,{x,-3,5}];

Integrate[f[x,y]*
    Boole[x^2+y^2-2x+6y<=6],
  {x,-3,5},{y,-7,1}]

-48*Pi


Bob Hanlon

> 
> From: "Konrad Den Ende" <chamster at home.se>
To: mathgroup at smc.vnet.net
> Date: 2005/12/31 Sat AM 06:40:31 EST
> Subject: [mg63449] [mg63434] How to specify these limits in an integral?
> 
> 
> 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
> 
> 
> 


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