I calculated the divergence of my vector field $\langle x^2 + y^2, y^2 + z^2, 1 − 2xz − 2yz\rangle$ to be $0$. The flux is meant to be over the unit hemisphere. If I do use the divergence theorem, wouldn't I get a triple integral of 0 over the unit hemisphere? In that case the flux would be zero, but I have been told that the plux is equal to $\pi$. I'm unsure how to get this. The orientation is positive upwards.
$\endgroup$ 8 Reset to defaultC alculating flux using the divergence theorem when the divergence is 0
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