Question: Use Greens Theorem to evaluate C F dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = (e x

Use Green’s Theorem to evaluate ʃ_C F · dr. (Check the orientation of the curve before applying the theorem.)

F(x, y) = (e^x + x²y, e^y – xy²), C is the circle x² + y² = 25 oriented clockwise

Data from Green's Theorem

Let C be a positively oriented, piecewise-smooth, simple closed curve in the plane and let D be the region bounded by C. If P and Q have continuous partial derivatives on an open region that contains D, then

If | Pdx + Q dy = D dA

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