[Solution] Use Green's Theorem to evaluate the line integral \oint_C(ln x+y) d x-x^2 ~d y over the rectangle in the xy-plane with vertices at (1,1),(3,1),(1,4),
Question: Use Green's Theorem to evaluate the line integral \(\oint_{C}(\ln x+y) \mathrm{d} x-x^{2} \mathrm{~d} y\) over the rectangle in the xy-plane with vertices at \((1,1),(3,1),(1,4)\), and \((3,4)\)
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![[See Solution] If C is a simple](/images/solutions/MC-solution-library-71904.jpg "[See Solution] If C is a simple closed curve, what is the value")
[See Solution] If C is a simple closed curve, what is the value
![[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
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