I need to find the area of the region bounded by the graphs of:

y = sqrt x,

y = 2 - sqrt x, and

y = 0.

I have sketched the graph and I know where the boundary is.

I intend to integrate with respect to y. Am I on the right track?

$\displaystyle \int_0^2 y^2 - (4 - y^2) dy$

The answer given is 4 sq units but I don't think I will get that answer after integration.