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Integral-related proof

  1. Apr 11, 2012 #1
    1. The problem statement, all variables and given/known data

    C is a positively orientated simple closed curve
    Show that the the following integral is always positive.

    [itex]\int P dx + Q dy[/itex]


    2. Relevant equations


    3. The attempt at a solution

    I am actually given a particular P and Q, but I would just like a hint on how to proceed.

    The integral is presented in such a way that I am tempted to use Green's Theorem, but I'm not sure if that would make it any better. Basically, I am able to show it no problem if I pick particular curves C, and parameterize them. Can anyone give me a hint as to how to do this in the general case when I don't know C exactly.
     
  2. jcsd
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