I have a quiz tomorrow related to double integration and volume. I have been trying to solve the question but I'm confused whether our region in...

I have a quiz tomorrow related to double integration and volume. I have been trying to solve the question but I'm confused whether our region in xy-plane is a rectangle R =[-4,4]*[-2.2] or is it something like -2<= y <=2 and 4+y^2 <= x <= 4-y^2