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Homework Statement
Use the surface integral in stokes theorem to find circulation of field F around the curve C.
F=x^2i+2xj+z^2k
C: the ellipse 4x^2+y^2=4 in the xy plane, counterclockwise when viewed from above
Homework Equations
stokes theroem: cirlulation=double integral of nabla X F.n d(sigma)
The Attempt at a Solution
i got nabla cross F is 2k
for the normal, aint it just k? coz I am getting confused by if i let g(x,y,z)=4x^2+y^2-4=0 (the elispe)
isnt n=grad(g)=8xi+2yj
im confused with this
also should i parameterize the ellipse?
im not sure how I am meant to set the double integral out?
im really lost, any help please?