Directly compute the flux integral [tex]\int\int(G*n dS)[/tex] where D is the part of the plane x+y+z=1 in the first octant, oriented upwards.
G = -y-z-x
My attempt at solution:
normal vector, normalized, is [tex]1/sqrt(3) * (1,1,1)[/tex] and since z=1-y-x, the integral simplifies to
How do I evaluate this, without parametrization of the plane?