# Derive Green's theorem with divergence formula.

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• March 26th 2010, 02:45 AM
Penguin91
Derive Green's theorem with divergence formula.
Hi,
Can anyone please help with constructing the following proof. I'm not sure how to go about it.

Starting with the Divergence Theorem and two smooth scalar functions
f and g, a closed surface S enclosing a volume V , derive the First Green's formula.
$
\int \int (f\nabla g) \cdot ndS = \int \int \int(f\nabla^2g + \nabla f \cdot \nabla g dV$