Use green's theorem to evaluate ∫c f·dr siny dx + xcosydy where C is a positively oriented ellipse...?
Use green's theorem to evaluate ∫c f·dr siny dx + xcosydy where C is a positively oriented ellipse x^2+xy+y^2=1
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According to Green's theorem:
∫c siny dx + xcosydy =
∫c {∂(xcosy)/∂x - ∂(siny)/∂y}dydx =
∫c {cosy - cosy}dydx =
∫c 0 dydx =
0