Find a parametrization of the curve x(adsbygoogle = window.adsbygoogle || []).push({}); ^{2/3}+y^{2/3}=1 and use it to

compute the area of the interior.

What I did was y=(1-x^{2/3})^{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?

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# Find the Area of the Interior

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