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

Chapter 6, Problem 158

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For the following exercises, use Green’s theorem.

Calculate integral \(\oint_{C} 2[y+x \sin (y)] d x+\left[x^{2} \cos (y)-3 y^{2}\right] d y\), along triangle C with vertices (0, 0), (1, 0) and (1, 1), oriented counterclockwise, using Green’s theorem.

Text Transcription:

\oint_{C} 2[y+x \sin (y)] d x+\left[x^{2} \cos (y)-3 y^{2}\right] d y

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