Multiple Integrals over s square region

[mit_hacker]

Homework Statement

(Q) Compute ∬_R▒(y-2x^2 )dA where R is a region bounded by the square |x| + |y| = 1.

Homework Equations

The Attempt at a Solution

The absolute functions are throwing me all over the place and I am not even able to begin

 

[EnumaElish]

How many sub-equations does |x| + |y| = 1 imply? I'll give you one: x + y = 1 if x > 0 and y > 0.