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Multivariable CalculusMediumVector Calculus

Vector Calculus · Medium problem

Use Green's theorem (in the area form Area=12∮Cx dy−y dx\text{Area}=\dfrac12\displaystyle\oint_C x\,dy-y\,dx) to find the area enclosed by the quadrilateral with vertices (0,0)(0,0), (4,0)(4,0), (5,3)(5,3), (1,2)(1,2), taken in this (counterclockwise) order.