1. The problem statement, all variables and given/known data Solve the following question by using Stokes' Theorem. (Line integral on C) 2zdx + xdy + 3ydz = ? where C is the ellipse formed by z = x, x^2 + y^2 = 4. 2. Relevant equations 3. The attempt at a solution We have the vector A=(2z,x,3y) which is cont. differentiable and curl(A) = (3,2,1). Now we have to parametrize the smooth surface S whose boundary is C and obtain a normal. I'm confused here how to choose the parameters. I solved it using the usual way and got -8*Pi. Can you help me to arrange the double integral in order to solve it by using Stokes' Thm.? Thanks.