?[T] Let C be circle \(x^{2}+y^{2}=4\) oriented in the counterclockwise direction

Chapter 6, Problem 200

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[T] Let C be circle \(x^{2}+y^{2}=4\) oriented in the counterclockwise direction. Evaluate \(\oint_{C}\left[\left(3 y-e^{\tan -1_{x}}\right) d x+\left(7 x+\sqrt{y^{4}+1}\right) d y\right]\) using a computer algebra system.

Text Transcription:

x^2 + y^2 = 4

oint_C [(3y - e^tan -1_x)dx + (7x + sqrt y^4 + 1)dy]

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