f(x,y,z) = z

Integrate the region W, which is bounded by

z = 0

x^2 + 4y^2 = 4

z = x + 2

So I think the "bottom" of the region in the xy-plane should form an elipse, and the "top" is just a plane tilted in the x-direction. This means that the region is a type 3-region in the plane, and a type 1 region in space since the top part is bounded by z? I'm struggling to set up the start of this integral problem, so any help would be appreciated!