Tricky double integral question

[MyNewPony]

I'm having difficulty finding suitable functions for f(x) and g(x) that fit the criteria given.

Also, it says g(y) in the latter part of the question, do you think that is a typo?

 

[Deleted member 4993]

I'm having difficulty finding suitable functions for f(x) and g(x) that fit the criteria given.

Also, it says g(y) in the latter part of the question, do you think that is a typo? << No it is not

Since the region D is rectangular:

\(\displaystyle \int_{-2}^{-1}\int_{2}^{5}f(x)g(y)dxdy = \int_{-2}^{-1}f(x)dx\int_{2}^{5}g(y)dy\)