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## Homework Statement

Integrate

[tex] \int_D z dxdydz [/tex] where D is [tex] z\geq 0, z^2*\geq 2x^2+3y^2-1, x^2+y^2+z^2 \leq 3 [/tex]

## Homework Equations

Spherical coordinates? I'm stuck. I have problems finding the boundaries of integration.

## The Attempt at a Solution

None. I'd be most grateful for help.