In vector calculus, Green's theorem relates a line integral around a simple closed curve C to...

 

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In vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C. It is the two-dimensional special case of Stokes' theorem. That is, ƏN (Mdx + Ndy) = ff SS CON Jc aMdA. Əy Evaluate the line integral fx¹dx + xydxwhere C is the triangle with vertices at (0, 0), (0, 5/8) and (5/8,0) with positive orientation. In vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C. It is the two-dimensional special case of Stokes' theorem. That is, ƏN (Mdx + Ndy) = ff SS CON Jc aMdA. Əy Evaluate the line integral fx¹dx + xydxwhere C is the triangle with vertices at (0, 0), (0, 5/8) and (5/8,0) with positive orientation.

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