Double Integration Homework: Changing Limits

[jaus tail]

Homework Statement

Homework Equations

I've drawn graph below.

The Attempt at a Solution

Currently their limits are y = 0 to y = x - 2 vertical arrow
and x = 2 to x = infinite. horizontal arrow

Changing limits i get right side graph.
x = y + 2 to x = infinite horizontal arrow
y = 0 to y = infinite vertical arrow
But that is not even there in options. Am i wrong somewhere?

 

[PeroK]

Changing limits i get right side graph.
x = y + 2 to x = infinite horizontal arrow
y = 0 to y = infinite vertical arrow
But that is not even there in options. Am i wrong somewhere?

What you have done looks right to me. The question is also odd in that they haven't changed the order of $dxdy$.

 

[jaus tail]

Thanks.