# Is my Integral set up correctly?

1. Oct 26, 2008

### viciousp

1. The problem statement, all variables and given/known data
Use a double integral to find the volume of the solid in
the first octant bounded by the paraboloid z = x^2 + y^2 and the planes
z = 0, x + y = 1.

2. Relevant equations

3. The attempt at a solution
$$\int_{0}^{1}{\int_{0}^{1-x}{x^{2}+y^{2}}dy dx}$$

2. Oct 26, 2008

### Dick

Looks ok to me.