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Homework Help: Help with Area of parametric equations problem

  1. Jul 1, 2008 #1
    1. The problem statement, all variables and given/known data

    Find the area of the region enclosed by the parametric equation
    x=t^3-8t
    y=2t^2





    3. The attempt at a solution
    I am not even sure how to start this problem.
    I read somewhere that to start with you solve for t in one of the equations.
    when i solve for t I end up with really weird equations.

    Can anyone help?
     
  2. jcsd
  3. Jul 1, 2008 #2
    There must be more information, does it say how the region is enclosed? I'm assuming it's with the x axis. Always be sure to include all the information in the question.
     
  4. Jul 1, 2008 #3
    That is all that is given to me. I thought I was missing some information as well.
     
  5. Jul 1, 2008 #4

    HallsofIvy

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    Science Advisor

    Oh, that's really, really wierd! I was all set to agree with gamesguru but, just to make sure, I graphed it on my TI-83. That is a closed curve with t going from [itex]-\sqrt{8}[/itex] to [itex]\sqrt{8}[/itex].

    You should be able to find the area by using the fact that
    [tex]\int y(x)dx= \int y(t)\frac{dx}{dt}dt[/tex]
     
    Last edited by a moderator: Jul 2, 2008
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