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