$\iiint_V\,(x^2 + y^2)\, \mathrm{d}V$
where V is the volume consisting of the points $(x, y, z) \in \mathbb{R}^{3}$ such that $x^2 + y^2 \leq 1$ and $|z| \leq 1 - (x^2 + y^2)^2$
What would I need to do?
Thanks in advance
2026-03-31 05:41:18.1774935678
How would I find this volume integral?
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Hint $$\iiint_V\,(x^2 + y^2)\, \mathrm{d}V=\int_{0}^{2\pi}\int_{0}^{1}\int_{-1+r^4}^{1-r^4}r^3\,dz\,dr\,d\theta$$