Integrate and Boole problems

• To: mathgroup at smc.vnet.net
• Subject: [mg58395] Integrate and Boole problems
• From: "Chris" <topher at csh.rit.edu>
• Date: Thu, 30 Jun 2005 04:37:32 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```I'm using Mathematica 5.1 and I'm getting some inconsistent results
when integrating the Boole function. For example:

Integrate[Boole[((x - 1)^2 + y^2 + z^2 - 3^2)*((x + 1)^2 + y^2 + z^2 -
3^2) = 0], {x, -Infinity, Infinity}, {y, -Infinity, Infinity}, {z,
-Infinity, Infinity}];

N[%]

50.2654821239234 + 3.829918318813164*^-9*I

NIntegrate[Boole[((x - 1)^2 + y^2 + z^2 - 3^2)*((x + 1)^2 + y^2 + z^2
-3^2) = 0], {x, -Infinity, Infinity}, {y, -Infinity, Infinity}, {z,
-Infinity, Infinity}]

108.90854533339399 - 2.749275252793041*^-29*I

Am I doing something wrong or is this just a limit of the Integrate
function?

```

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