[Steps Shown] If C is a simple closed curve, what is the value of \oint_C y ~d x+x ~d y
Question: If \(C\) is a simple closed curve, what is the value of \(\oint_{C} y \mathrm{~d} x+x \mathrm{~d} y\) ?
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![[Solution] Use Green's Theorem to evaluate the](/images/solutions/MC-solution-library-71905.jpg "[Solution] Use Green's Theorem to evaluate the line integral of")
[Solution] Use Green's Theorem to evaluate the line integral of
![[Step-by-Step] Let A be the region in](/images/solutions/MC-solution-library-71906.jpg "[Step-by-Step] Let A be the region in the xy-plane between the")
[Step-by-Step] Let A be the region in the xy-plane between the
(Solution Library) Compute the curl of the vector field F(x, y,
![[Steps Shown] Compute the curl of the](/images/solutions/MC-solution-library-71908.jpg "[Steps Shown] Compute the curl of the vector field F(x, y, z)=e^y+z")
[Steps Shown] Compute the curl of the vector field F(x, y, z)=e^y+z
![[Solution] Evaluate the scalar line integral ∫_H(x^2+y^2+z^2)](/images/solutions/MC-solution-library-71909.jpg "[Solution] Evaluate the scalar line integral ∫_H(x^2+y^2+z^2)")
[Solution] Evaluate the scalar line integral ∫_H(x^2+y^2+z^2)
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