Find the Area of the Interior

  1. Find a parametrization of the curve x2/3+y2/3=1 and use it to
    compute the area of the interior.

    What I did was y=(1-x2/3)3/2

    I then integrated this function from 0 to 1 (using maple since it is a crazy integral) and got the answer to be 3/32 [tex]\pi[/tex].

    However this is wrong, I probably wasn't suppose to do it the way I did anyway considering that the integral is so complicated.

    So what should I do? I am learning Green's theroem right now if that helps, although I may have skipped ahead in it a bit I'm not sure.

    Thanks.

    Edit: Hm ok I have figured out what to do, the answer is 3/8 pi. How come my original answer is 1/4 of this though?
     
    Last edited: Feb 15, 2010
  2. jcsd
  3. tiny-tim

    tiny-tim 26,054
    Science Advisor
    Homework Helper

    Hi mmmboh! :smile:
    They want you to use a parametrisation.

    For example, if it were x2+y2=1, you'd use x = cosθ, y = sinθ. :wink:
     
Know someone interested in this topic? Share a link to this question via email, Google+, Twitter, or Facebook

Have something to add?