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If R be a simply connected plane region whose boundary is a simple, closed, piecewise smooth curve C oriented counter-clockwise, then the area of

If R be a simply connected plane region whose boundary is a simple, closed, piecewise smooth curve C oriented counter-clockwise, then the area of the region R can be expressed as. L/F6 C (-y dx + xdy) C xdy 1}x_{y& 3 xdy-y dx

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