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## Homework Statement

Evaluate the triple integral:

∫ x dxdydz

A

where

A = {(x; y; z) : x, y, z > 0, x + y + z ≤ 1} .

## Homework Equations

None that I know of.

## The Attempt at a Solution

The problem I have is determining the limits for x, y and z. I don't really understand the following notation:

A = {(x; y; z) : x, y, z > 0, x + y + z ≤ 1} , which I believe will help me.

I'm guessing x + y + z ≤ 1 is the definition of a plane and the region A that we are integration over is in the first octant since x, y, z > 0.

Kind regards.