Absolute Value in a double integral

[adm_strat]

[SOLVED] Absolute Value in a double integral

Homework Statement

If $$\Omega$$ = [-1,1] x [0,2], evaluate the double integral $$\int\int_{\Omega} \sqrt{|y-x^{2}|} dA$$ given that it exists.

Homework Equations

None

The Attempt at a Solution

I know that in order to integrate with the absolute value I have to split the integral into two parts: When $$x^{2} > y ---> \sqrt{x^{2}-y}$$ and $$y > x^{2} ---> \sqrt{y-x^{2}}$$

I just can't get of the limits of the integral. Anyone have any advice on where to start or how to look at it to discover the limits? TIA

 

[adm_strat]

n/m, found them out.