1. ## Nested integral problem

I need to find the volume bounded by the planes 1 - x- y, x = 0, y =0 and z = 0

Since it is volume I think I am looking for a double integral would both integrals have the limits from 0 to 0.5 and the function be 1 - x - y?????? Frostking

2. Due to the graphic above, the volume must be
$\displaystyle \int_{0}^{1}\int_{0}^{1-y}(1-x-y)\mathrm{d}x\mathrm{d}y$.

Please check it, and try to see that $\displaystyle y:0\to1$ and $\displaystyle x:0\to1-y$.