(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Notice the curve given by:

f(t) = x = 36-t^2

g(t) = y = (t^3)-25*t

The curve makes a loop which lies along the x-axis. What is the total area insde the loop.

2. Relevant equations

Integral from alpha to beta of g(t)*f'(t) dt

3. The attempt at a solution

Ok, so I can easily plug in g(t) and f'(t) into the formula to find the integral. The problem is, I don't understand how to find alpha and beta. I know that if I find where t intersects itself, then I could the alpha and beta. But how do I know where t intersects itself? Please help me out!

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# Homework Help: Area using Parametric Equations

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