Use Green’s Theorem in the form of Equation 13 to prove Green’s first identity:

where D and C satisfy the hypotheses of Green’s Theorem and the appropriate partial derivatives of f and g exist and are continuous. (The quantity ∇g • n = D_n g occurs in the line integral. This is the directional derivative in the direction of the normal vector n and is called the normal derivative of t.)

Transcribed Image Text:

ſsV'g dA = f(V9) · n ds – f vf . Vg dA %3D