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Arc Length of a Curve on an Interval

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Find the arc length of the curve y=1/3(x^2+2)^(3/2) on the interval [0,1].

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we should first find
y' = 3/2 * 1/3 * (x^2+2)^1/2 * 2x
= x(x^2+2)^1/2
then substitute y' into the arc length ...

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