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Evaluation of a Conservative Vector Fields

  1. Nov 11, 2012 #1
    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 [tex]4x^2+9y^2=36[/tex], 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.
     
  2. jcsd
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