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(Calc 3) Finding mass of a wire using line integral

  1. Apr 28, 2013 #1
    1. The problem statement, all variables and given/known data
    Find the mass of a wire in the shape of the parabola y=x2 for [itex]1 \leq x\leq2[/itex] and with density p(x,y)=x.

    2. Relevant equations



    3. The attempt at a solution

    I just want to make sure I am setting this integral up right. Here is what I did:

    I parameterized the equation to x=t, y=t2
    and then got [itex]\int xds[/itex] from 1 to 2.
    then I set ds = [itex]\sqrt{1+4t^2}*dt[/itex]

    so I would have

    [itex]\int t*\sqrt{1+4t^2}dt[/itex] from 1 to 2. Correct, or no?
     
    Last edited: Apr 28, 2013
  2. jcsd
  3. Apr 28, 2013 #2

    LCKurtz

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    Yes.
     
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