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Line integral across a vector field

  1. Oct 31, 2012 #1
    I've attached the problem as a picture.
    Capture.PNG
    Generally, this would be a simple problem if I were to apply Green's theorem. But I can't use Green because D would not be a simply connected closed region; the vector field isn't defined at the origin.
    Could someone please give me an idea of where to start?
     
  2. jcsd
  3. Oct 31, 2012 #2
    Break it up into two integrals and evaluate each path separately and then add them together.
     
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