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Re: Integrate and Boole problems


I'm sorry, it must have pasted incorrectly, it wasn't an equal sign, it
was a less than or equal.

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}]


Mathematica 5.1 is able to integrate over Boolean defined regions, so
in effect if you can define a region with inequalities, integrating
over it will return it's area (if two dimensional) or volume (as is the
case above). More about it can be found here:

http://www.wolfram.com/products/mathematica/newin51/integrationregions.html


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