I am preparing for an exam and one of the practice questions (not homework, just for my benefit) asks to simply calculate $\iiint z^2dV$ over the ellipsoid $x^2+4y^2+z^2 \leq 1$. I'm not entirely sure how to take the limits of the integration. Could someone guide me through the process?
Calculating triple integral $z^2$ over an ellipsoid
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multivariable-calculus