Given a vector ť = -yî + xj, show, with the help of Stokes' theorem, that the integral of ť around a continuous closed curve in the xy-plane satisfies 2. p i· dř =;•(xdy– ydx) = A, where A is the area enclosed by the curve.
Given a vector ť = -yî + xj, show, with the help of Stokes' theorem, that the integral of ť around a continuous closed curve in the xy-plane satisfies 2. p i· dř =;•(xdy– ydx) = A, where A is the area enclosed by the curve.
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Transcribed Image Text:Given a vector i = -yî + xî, show, with the help of Stokes' theorem, that the integral of f around
a continuous closed curve in the xy-plane satisfies
so i· dř =;•(xdy – ydx) = A,
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where A is the area enclosed by the curve.
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