I got the integral dx (x^2) + (8x) dy= 2x + 0
(7,0) (7+y,y) 2x +0
But it doesn't seem to work
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OK, to use Green's theorem you need the formula ∬ ∂F_2/∂x - ∂F_1/∂y dA = ∫_C F_1dx + F_2dy, where the line integral is counter clockwise, while you seem to have computed ∂F_1/∂x + ∂F_2/∂y. Also, note that the line integral in question is computed clockwise, which will change the sign of the left side the above equation.

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