# Thread: Triple Integration, order reversal.

1. ## Triple Integration, order reversal.

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

Express the iterated integral

$\int_{-1}^{1} \int_{z^2}^1 \int_0^{1-y} g(x,y,z)dxdydz$

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.

2. ## Limits of integration

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 $x=0$, the plane $x+y=1$, and the parabolic cylinder $y=z^2$.

--Kevin C.

3. 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...)

4. ## It really helps

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