Area Calculation for Parametric Equation: x=t^3-5t, y=7t^2

[Cici2006]

Homework Statement

Find the area of the region enclosed by the parametric equation
x=t^3-5t
y=7t^2

Homework Equations

The Attempt at a Solution

I know how you set it up \int (7t^2)(3t^2-5)dt, but how do you find the bounds. I tried finding t and got t= (+/-)\sqrt{y/7} and you plug it into x but where do you go from there.

 

[mlazos]

What I understand by enclosed means for the value of t where x=0. So the values are x=-\sqrt{5} , 0 , \sqrt{5} 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.