?For the following exercises, use Green’s theorem.Evaluate \(\oint_{C} y^{3} d x-x^{3}

Chapter 6, Problem 155

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For the following exercises, use Green’s theorem.

Evaluate \(\oint_{C} y^{3} d x-x^{3} y^{2} d y\), where C is the positively oriented circle of radius 2 centered at the origin.

Text Transcription:

\oint_{C} y^{3} d x-x^{3} y^{2} d y

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