Is my Integral set up correctly?

[viciousp]

Homework Statement

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.

Homework Equations

The Attempt at a Solution

$$\int_{0}^{1}{\int_{0}^{1-x}{x^{2}+y^{2}}dy dx}$$

 

[Dick]

Looks ok to me.