?For the following exercises, use Green’s theorem.Evaluate line integral \(\int_{C} x
Chapter 6, Problem 153(choose chapter or problem)
For the following exercises, use Green’s theorem.
Evaluate line integral \(\int_{C} x e^{-2 x} d x+\left(x^{4}+2 x^{2} y^{2}\right) d y\), where C is the boundary of the region between circles \(x^{2}+y^{2}=1\) and \(x^{2}+y^{2}=4\), and is a positively oriented curve.
Text Transcription:
\int_{C} x e^{-2 x} d x+\left(x^{4}+2 x^{2} y^{2}\right) d y
x^{2}+y^{2}=1
x^{2}+y^{2}=4
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