# 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].

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:20 pm ad1c9bdddfhttps://brainmass.com/math/curves/arc-length-curve-interval-40443

#### Solution Preview

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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