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# parametric integration watch

find the area of the finite region enclosed by the loop of the curve

x=t^2 - 1 y = t-t^3

the boundaries ive figured out to be -1<x< 0 but its the integration above that im having trouble with, thanks
2. area = int y dx

dx/dt = 2t
dx = 2t dt
area = int y dx = int y . 2t dt = int (t-t³) . 2t dt

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Updated: February 2, 2006
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