Find the volume of the piece of the region between the planes $x+y+z = 1$ and $2x + 2y + z = 2$ which lies in the first octant. I got:
$$ \int_{0}^{1} \int_{0}^{1-x}\int_{1-y-x}^{2-2y-2x} \;dz \;dy\;dx $$
Am I correct?
2026-04-05 23:20:58.1775431258
Find the volume of the piece of the region between the planes $x+y+z = 1$ and $2x + 2y + z = 2$ which lies in the first octant.
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