- #1
agent_cooper
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Homework Statement
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.
Homework Equations
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.