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    Find the length of y=cosh x for -1 ¡Ü x ¡Ü 2.

    © BrainMass Inc. brainmass.com December 24, 2021, 4:54 pm ad1c9bdddf
    https://brainmass.com/math/basic-calculus/calculus-functions-solved-15202

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    Find the length of y=cosh x for -1 ≤ x ≤ 2.

    The length of the curve will be given by :

    Integral from -1 to 1 of ( 1+ dy/dx^2)^1/2

    dy/dx = sinh x

    Length = integral ( 1+ sinh ^2 x)^1/2 in limits -1 to 2

    Integral is given by : { 1/ sqrt(x^2 +1)} between -1 to 2

    Therefore length = ½ - sqrt(1/5)
    = .0528

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 4:54 pm ad1c9bdddf>
    https://brainmass.com/math/basic-calculus/calculus-functions-solved-15202

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