Think About It Let where is a circle oriented counterclockwise. Show that when does not
Chapter 15, Problem 45(choose chapter or problem)
Let
\(I=\int_{C} \frac{y d x-x d y}{x^{2}+y^{2}}\)
where C is a circle oriented counterclockwise. Show that I = 0 when C does not contain the origin. What is I when C does contain the origin?
Text Transcription:
I = int_C y dx - x dy / x^2 + y^2
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