google is your friend. Many of these problems have been solved before, or ones like them.
www.math.umn.edu/~emanlove/2263sum11/HW%2034.pdf
Use the Divergence Theorem to calculate the surface integral
S
F · dS;
that is, calculate the flux of F across S.
F(x, y, z) = x&2yi + xy^2j + 2xyzk,
S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and
x + 3y + z = 3.
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