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Find Arc Length Using Trapezoids

  1. Dec 4, 2005 #1
    Using trapezoids and N=4, find the length of the arc of the curve y=(1/3)x^3 from (0,0) to (1,1/3).
     
  2. jcsd
  3. Dec 5, 2005 #2

    HallsofIvy

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    Of course, [itex]\frac{dy}{dx}= x^2[/itex] so the length of the curve from x= 0 to x= 1 is
    [tex]\int_0^1 \sqrt{1+ x^4}dx[/tex]

    By "Using trapezoids" do you mean use the trapezoid rule to numerically integrate that?
     
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