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Parametric curve

  1. Apr 6, 2005 #1
    Consider the parametric curve given by the equations
    [tex]x(t) = t^2+30t-11[/tex]
    How many units of distance are covered by the point P(t) = (x(t),y(t)) between t=0, and t=9 ?

    well since the bounds are already given (0->9), i just need help on setting up the integral. here's what i done:

    [tex]dx/dt = 2t+30[/tex]

    my integral:


    but i get the incorrect answer when i integral it, can someone help me set it up?
  2. jcsd
  3. Apr 6, 2005 #2


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    Homework Helper
    Gold Member

    The distance travelled is


    You either do this integral, or notice that the curve is a straight line.

  4. Apr 6, 2005 #3
    What is the formula for calculating curve's length? You have calculated the area under the curve, not the length.
  5. Apr 6, 2005 #4
    thank you, i got it correct
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