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Math Help - Help please. arc length of the curve

  1. #1
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    Help please. arc length of the curve

    So I have final coming up with week and I'm going through the review then I ran into this problem I just don't know what to do (for this particular problem, I understand the concept thou) so any help would be much appreciated. Thank you in advance. Oh and I'm a new user. Nice to meet you all.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Help please. arc length of the curve

    I would begin by computing:

    \frac{dy}{dx}=7x^{\frac{5}{2}}

    thus:

    \sqrt{1+\left(\frac{dy}{dx} \right)^2}=\sqrt{1+\left(7x^{\frac{5}{2}} \right)^2}=\sqrt{1+49x^5}

    The arc-length is then:

    s=\int_0^{\frac{48}{49}}\sqrt{1+49x^5}\,dx

    At this point, I would use a numeric technique to get a decimal approximation.
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  3. #3
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    Re: Help please. arc length of the curve

    That's as far as I got I'm stuck trying to manipulate this. Tried the u substitution and all. Nothing works for me. Any additional help is appreciated. Ps. Thank you for the reply mark.
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