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Parametric Equation

  1. Oct 12, 2007 #1
    1. The problem statement, all variables and given/known data
    Find the area of the region enclosed by the parametric equation
    x=t^3-5t
    y=7t^2


    2. Relevant equations



    3. The attempt at a solution
    I know how you set it up [tex]\int (7t^2)(3t^2-5)dt[/tex], but how do you find the bounds. I tried finding t and got t= (+/-)[tex]\sqrt{y/7}[/tex] and you plug it into x but where do you go from there.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 12, 2007 #2
    What I understand by enclosed means for the value of t where x=0. So the values are [tex]x=-\sqrt{5} , 0 , \sqrt{5}[/tex] So I guess you have to find two integrals, for x>0 and for x<0 because one will get negative and the other positive and to add them.
     
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