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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].

    © BrainMass Inc. brainmass.com March 4, 2021, 6:20 pm ad1c9bdddf
    https://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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