[See] (a) Let C be a simple closed curve. Use Green’s theorem to show that the area bounded by C is given by 1/2ointlimits_C(-ydx+xdy) (b) Use the above
Question: (a) Let C be a simple closed curve. Use Green’s theorem to show that the area bounded by C is given by
\[\frac{1}{2}\oint\limits_{C}{\left( -ydx+xdy \right)}\](b) Use the above expression to find the area of the ellipse
\[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\]
Deliverable: Word Document 
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