Am I on the right track at least?

[LUmath09]

Homework Statement

Integrate g(x,y,z) = y + Z over the surface area of the wedge in the first octant bounded by the coordinate planes and the planes x = 2 and y + z = 1.

Homework Equations

see below

The Attempt at a Solution

see below

 

[HallsofIvy]

By the "surface of the wedge", do you mean the entire surface? I think that would involve 5 planes. I haven't gone through all the details but I notice you have sides labled A, B, C, D, E so, yes, it looks like you are going about this the right way.