Simple Volume Integral, limits of integration

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The discussion revolves around the correct limits of integration for a volume integral. The proposed limits are y from 0 to 2, z from 0 to 2, and x from 0 to 4 - z^2 for each z. There is a suggestion that changing the order of integration could yield the same result. The participants are focused on confirming the validity of these limits and the equivalence of different integration orders. Ultimately, the accuracy of the limits and the order of integration are central to achieving the correct answer.
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Homework Statement


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Homework Equations





The Attempt at a Solution


Are my limits of integration right?
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I would have done the integral in a different order. Obviously y will go from 0 to 2, z from 0 to 2, and, for each z, x from 0 to 4- z^2.
 
HallsofIvy said:
I would have done the integral in a different order. Obviously y will go from 0 to 2, z from 0 to 2, and, for each z, x from 0 to 4- z^2.

That should give the same answer, right?
 

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