Question

The loop of the folium of descartes shown as the solid line in x y is the curve parametrized by c(t) = 3t 1 + t 3 , 3t 2 1 + t 3 , 0 ≤ t < ∞ . use green's theorem to determine the area of the shaded region enclosed by this loop.

Answer 1

Check the attached file for the solution.