I have the following problem:
Find the flux of F = xi + yj + zk out of the tetrahedron bounded by the coordinate planes and the plane x + 2y + 3z = 6
I got the right answer with the Divergence Theorem, but I have to be able to do it with "direct" calculation of the flux integral. I tried it in different ways but never got to the right answer. Anyone good at this?