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Integral proof help

  1. May 9, 2010 #1
    I am soooo poor at this kind of proof problem...:cry:
    Please help me out with this!

    Show that

    Integral_C y dx + x dy depends only on the endpoints of the arbitrary curve C.

    (Hint: find a potential function f of the vector field <y, x> and use that to integrate
    along a parametrization r(t) = <x(t), y(t)> of C with endpoints at t = a and t = b.)

    I also attached a jpg file!

    Thank you,
    Maya:redface:
     

    Attached Files:

  2. jcsd
  3. May 9, 2010 #2

    lanedance

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    Homework Helper

    Re: Proof

    have you tried the hint? finding a scalar potential should be reasonably staightforward
     
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