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Homework Help: Line integrals question

  1. Mar 24, 2009 #1
    1. The problem statement, all variables and given/known data
    Hello, I'm writing a summary of all calculus I've learned during this term and now I'm on line integrals. I wrote this so far:
    http://img17.imageshack.us/img17/9776/algebrac.jpg [Broken]
    But I have Sigma of x and y (a similar expression was in my lecture notes), but there is no dy anywhere, do I need to add dy to that expression? or just treat y as a constant? (if line density is given as a function of x and y)

    2. Relevant equations

    3. The attempt at a solution
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 24, 2009 #2


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    There is no real y-dependence. Remember that the shape of the chain is given as some function of x. So, given x, what should y be?
  4. Mar 24, 2009 #3
    Oh, so just rearrange y in terms of x :D Thanks
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