Thread: Triple Integration, order reversal.

I forget how to reverse the order of integration for triple integrals, here's the question.

Express the iterated integral



as an equivalent integral in which the y-integration is performed 1st, the z-integration second, and the x-integration last.

Thanks for any help.

The key is figuring out the limits of integration. Note that the region of space over which you are integrating is the region bound by the plane , the plane , and the parabolic cylinder .

--Kevin C.

Hello,

-1<x<1
z²<y<1
0<z<1-y

Just try to get some new inequations, for example 0<z<1 (this one is false, but you can try...)

to get a visual so as that you can see exactly what you are dealing with