Help with Area of parametric equations problem

[Mcbrown108]

Homework Statement

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

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?

 

[gamesguru]

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.

 

[Mcbrown108]

That is all that is given to me. I thought I was missing some information as well.

 

[HallsofIvy]

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 -\sqrt{8} to \sqrt{8}.

You should be able to find the area by using the fact that
\int y(x)dx= \int y(t)\frac{dx}{dt}dt