# Evaluation of a Conservative Vector Fields

1. Nov 11, 2012

### Unart

1. The problem statement, all variables and given/known data
Evaluate closed integral ∫sin(x)dx+zcos(y)dy+sin(y)dz where c is an ellipse $$4x^2+9y^2=36$$, oriented clockwise.

2. Relevant equations
∫Fds=∫F(c(t))*||c'(t)||
or ∫Fdot ds= ∫F(c(t))*c'(t) where it's clockwise...-∫F(c(t))*c'(t)

3. The attempt at a solution
I don't know where to go with this problem... or whether these equations are relevant with with closed vectors fields
Assuming that I am supposed to find c(t)=<9cos(t),4sin(t)>

But again, I could be mistaken... any help on this topic would be greatly, very greatly appreciated.