# Parametric Equation

1. Oct 12, 2007

### Cici2006

1. The problem statement, all variables and given/known data
Find the area of the region enclosed by the parametric equation
x=t^3-5t
y=7t^2

2. Relevant equations

3. 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.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Oct 12, 2007

### 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.