Prove the identity, where R is a simply connected region with boundary C. Assume that the required

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Prove the identity, where R is a simply connected region with boundary C. Assume that the required partial derivatives of the scalar functions ƒ and g are continuous. The expressions DNƒ and DNg are the derivatives in the direction of the outward normal vector N of C, and are defined by DNƒ = ∇ƒ . N, and DNg = ∇g . N.

Green’s second identity:

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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