X Problem 16 Stokes S Theorem Not Applicable Consider The Line Integral Pf R 1 Dt Where F X Y I X2 Y2 And C 1 (21.44 KiB) Viewed 20 times
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X Problem 16 (Stokes's theorem not applicable) Consider the line integral pF -r (1)dt, where F(x, y) = i . x2 + y2 and C is the unit circle in the xy-plane (z=0). Show that applying Stokes's theorem in the plane (a version of Green's Theorem) would lead one to conclude that the line integral vanishes, but that Stokes's theorem is not valid in this case. Then evaluate the line integral directly and demonstrate that it is non-zero.
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