I would like to know, if in general, there is a method of calculus of the following multiple integral : $$ I = \int_{\{ (u,v,w) \in \mathbb{R}^3 \ \mid \ u^3 + v^2 + w = -4 \text{ and } u^4 + w^2 = 1 \}} {xyz} \ dx dy dz. $$ Thanks a lot.
Multiple integral calculus over an algebraic set.
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integration