?For the following exercises, use Green’s theorem.Calculate \(\oint_{C}-x^{2} y d x+x

Chapter 6, Problem 157

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For the following exercises, use Green’s theorem.

Calculate \(\oint_{C}-x^{2} y d x+x y^{2} d y\), where C is a circle of radius 2 centered at the origin and oriented in the counterclockwise direction.

Text Transcription:

\oint_{C}-x^{2} y d x+x y^{2} d y

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