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!