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Math Help - Alternative formula for arclength

  1. #1
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    Alternative formula for arclength

    If f is a continuously differentiable function, show how to establish the formula

    L = (integral from a to b) (root)(1 + (f'(x))^2) dx

    for the length of the curve y = f(x) between (a, f(a)) and (b, f(b)).

    I don't know how to proceed, but I do know that the regular formula for arclength is L(x) = (integral from a to b) ||x'(t)||dt. Any help? Thanks!
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  2. #2
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    The derivation of the formula is here:

    Arc length - Wikipedia, the free encyclopedia
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