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Green's Theorem : Flux

Let C be a differentiable curve contained in the portion 0 inferior or equal to x inferior or equal to 1 of the first quadrant, starting on the positive y-axis and ending somewhere on the line x=1.
Show that the flux of the vector field F


across C is always equal to -2.

Hint : Apply Green Theorem to the region between C and the x-axis.

Solution Summary

Flux is investigated using Gren's theorem. The solution is detailed and well presented.