Double integral absolute value.

1. The problem statement, all variables and given/known data

I just need to know if what i did is correct. The question is as follows:

http://imgur.com/1RL7e



2. Relevant equations



3. The attempt at a solution

What I did is as follows:

I split this integral into two parts and solved.


[integral from 0 to 1 [integral from x to -2x (e^(x+y)) dy] dx] +
[integral from -1 to 0 [integral from -x to 2x (e^(x+y)) dy] dx]


The way of thinking about it is that y goes from x to -2x when x goes from 0 to 1 and -x to 2x when x goes from -1 to 0.

Is that right?