?For the following exercises, use Green’s theorem.Evaluate integral

Chapter 6, Problem 159

(choose chapter or problem)

For the following exercises, use Green’s theorem.

Evaluate integral \(\oint_{C}\left(x^{2}+y^{2}\right) d x+2 x y d y\), where C is the curve that follows parabola \(y=x^{2}\) from (0, 0)(2, 4), then the line from (2, 4) to (2, 0), and finally the line from (2, 0) to (0, 0).

Text Transcription:

\oint_{C}\left(x^{2}+y^{2}\right) d x+2 x y d y

y=x^{2}