# Changing the order of integration for a triple integral?

1. Nov 27, 2011

### SMA_01

1. The problem statement, all variables and given/known data

$\int^{1}_{0}$$\int^{x}_{0}$$\int^{y}_{0}$ f(x,y,z)dzdydx

I need to write it in terms of dxdydz

2. Relevant equations

3. The attempt at a solution

I've tried to draw the 3D representation. I don't really know how to change the order, I don't recall my teacher even showing us this. I know how to change the order of integration for double integrals, but not this. Any help would be appreciated.

2. Nov 28, 2011

### Staff: Mentor

Have you started by sketching the region of integration (not the integrand). The region as described in your first iterated integral is:
0 <= z <= y
0 <= y <= x
0 <= x <= 1
Each of these inequalities describes two boundary planes. If you rewrite your integral with a different order of integration, you'll need to come up with a different description for the same region.