I need the Domain of integration of a double integral

Question

Giveing that I have a squere formed with the points (1,0) , (0,1) , (-1,0) , (0,-1) so basically a romb centerd in O(0,0) how do I find the domain of integration D ? I've started by giving the x his domain ( -1 < x < 1 ) and getting the equations for each side of the romb , as I wrote them in the image , but now I am stuck ... I want to get a domain for y using the variable x .

Answer 1

It is $\int_0^{1}\int_{x-1}^{1-x} dydx+\int_{-1}^{0} \int_{-x-1}^{x+1} dy dx$ or $\int_{-1}^{1} \int_{|x|-1}^{1-|x|} dydx$.