1. The problem statement, all variables and given/known data a) Evaluate the work done by the force field F(x, y) = (3y^(2) + x)i + 4x^(3)j over the curve r(t) = e^(t)i + e^(3t)j, tε[0, ln(2)]. b) Using Green’s theorem, find the area enclosed by the curve r(t) and the segment that joins the points (1, 1) and (2, 8). c) Find the flux of F across the curve described in b). 2. Relevant equations I may be missing something but for the life of me I can't figure out how to answer part b.). I already have part a.) and can do part c.) just need to figure out the limits for part be. 3. The attempt at a solution a.)∫(0 to ln2 )[3e^(7t) + e^(2t) + 12e^(7t)]dt= 2547 B.)Greens Theorem ∫(12x^2-(6y+1))dA Any help would be awesome!