Think About It Letwhere is a circle oriented counterclockwise. Show thatif does not
Chapter 15, Problem 43(choose chapter or problem)
Think About It 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 if C does not contain the origin. What is I if C does contain the origin?
Text Transcription:
I=int_C y dx-x dy/x^2+y^2
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