(4) Let C be the positively oriented curve in the x-y plane that is the boundary of the rectangle with vertices (0, 0),

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4 Let C Be The Positively Oriented Curve In The X Y Plane That Is The Boundary Of The Rectangle With Vertices 0 0 1 (48.64 KiB) Viewed 38 times

(4) Let C be the positively oriented curve in the x-y plane that is the boundary of the rectangle with vertices (0, 0), (3,0), (3, 1) and (0, 1). Consider the line integral fo xy dx + x²dy. (a) Evaluate this line integral directly (i.e. without using Green's Theorem). (b) Evaluate this line integral by using Green's Theorem.