Area z^2=2*y parabolic cylinder plane
Theta from 0 to pi
r from 0 to 2*sin(theta)
Let g(y) be a continuous derivateable function of y.
A vector field F=yi+zg(y)+xzk
Calculate the curve integrate
What is this g(y)? F=[y,z?,xz]
I am not sure what your question is. You say "Let g(y) be a continuous derivateable function of y" and then ask "what is this g(y)?" Well, the only thing we can say is exactly what you told us- g(y) is some differentiable function- from what you tell us, it can be any continuous function.