# Green's Theorem : Flux

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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

F=(2xy-2x^4*y)i+(4x+4x^3y^2-y^2)j

across C is always equal to -2.

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

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#### Solution Summary

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

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