Evaluate the line integral by two methods:

(a) Directly 

(b) Using Green's Theorem. 

C is the rectangle with vertices (0, 0), (3, 0), (3, 1), and (0, 1)

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

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

Transcribed Image Text:

foxy dx + x² dy,