Question

Find the area enclosed by the following parametric curves and the x−axis. Find its exact area, no decimals.
{x = 9e^t y= 6t-t^2
a = ∫y dx = ∫ g(t) f'(t) dt
y=0 at t=0,6 so
a = ∫[0,6] (6t-t^2) * 9e^t dt = 14595

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