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Unformatted text preview: applied to every line integral. However, when it does apply it can save time. Slide 5 Line Integral for Area If R is a plane region bounded by a piecewise smooth simple closed curve C, oriented counterclockwise, then the area of R is given by ydx xdy A C= ∫ 2 1 Slide 6 Example 14.4, #25 Slide 7 Vector Forms of Green’s Theorem ( 29 ∫∫ ∫∫ ∫ • = ∂ ∂∂ ∂ = + R R C dA k F curl dA y M x N dy N dx M dA F div ds N F R C ∫∫ ∫ = •...
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 Spring '12
 PamelaSatterfield
 Calculus, Topology, Derivative, Vector Calculus, Manifold, General topology

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