Show that BC y dx x dy x2 y2 2p , where C is the circle x2 y2 a2

Chapter 9, Problem 46

(choose chapter or problem)

Show that \(\oint_{C} \frac{-y d x+x d y}{x^{2}+y^{2}}=2 \pi\), where C is the circle \(x^{2}+y^{2}=a^{2}\).

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