I'm working from H.M. Schey's Div, grad, curl, and all that, and am trying to figure out surface integration.
One of the example problems boils down to the following surface integral over a projection, with z = 1 - x - y
\sqrt{3} \int \!\!\! \int_R 1 - y \,dx \,dy
I made x and y go from 0 to...