(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]\int^{1}_{-1}\int^{1}_{x^2}\int^{1-y}_{0} dz dy dx[/tex]

2. Relevant equations

See the attachment for graph. I am supposed to rewrite the order of integration to the following.

a)dy dz dx

b)dy dx dz

c)dx dy dz

...and so on.

3. The attempt at a solution

First attempt is worthless as I don't understand how to do these. I understand doing them in 2d but with the third direction I am lost. My teacher, book, and solution manual are no help because I guess these are so easy you just get the answers not how they get the answers.

The reason I know I don't get this is I cannot see how the limits change. For the z-axis it seems to me that z will always be from 0 to 1. I know that's wrong but I don't get why.

Any tips to help me understand this?

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# Changing Order of Integration on Triple Integral

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