Under the usual assumptions, Green's theorem can be expressed in the vector form F-nds = [,...

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Under the usual assumptions, Green's theorem can be expressed in the vector form F-nds = [, div FdA, where n denotes the unit normal vector to the simple closed curve C that points out of the region D. Verify this version of Green's theorem by calculating both sides, where F(x, y) = (xy, y?) and C is the region bounded by the x-axis and the parabola y = 1- x?. Under the usual assumptions, Green's theorem can be expressed in the vector form F-nds = [, div FdA, where n denotes the unit normal vector to the simple closed curve C that points out of the region D. Verify this version of Green's theorem by calculating both sides, where F(x, y) = (xy, y?) and C is the region bounded by the x-axis and the parabola y = 1- x?.