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Question: Calculate implicit surface volume

Question:Calculate implicit surface volume

ferram2 0 Maple
integration volume implicit 3d
September 28 2006
0
Given an implicit representation of a 3D surface, for example: 1 = 3/(z^2+3)*exp(-1/2*(3*y^2+2*x^2+x^2*z^2-2*y*x*z-12)/(z^2+3)) does Maple have a function to numerically integrate its volume? I was hoping to avoid the nuisance of computing the bounds on x,y and z myself and then performing the triple integration (I tried this, but the third integral hung Maple up...I gave up after it ran for 24 hours). The implicit plot seems to work fine, which shows a nice blob. This should be fairly easy to integrate... Thanks, Matt
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