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Line Integrals Over Vector Fields

  1. Nov 30, 2011 #1
    1. The problem statement, all variables and given/known data
    http://img37.imageshack.us/img37/4223/skjermbilde20111130kl95.png [Broken]

    3. The attempt at a solution

    I have r'(t) = <-sin(t),cos(t),2cos(t)sin(t)>

    I get [tex] \int_0^{2*pi} F[x(t),y(t),z(t)] • r'(t) dt = sin^4(t)/3 + cos^4(t)/3 + 2cos(t)sin(t)*e^{2cos(t)sin(t) * 2cos(t)sin(t) * 2cos(t)sin(t)}[/tex]

    Now this seems kind of tricky to integrate, and I doubt the problem is actually that bizarre. I wasn't sure how to implement the hint given in the problem. Maybe that will help me.
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
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