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Math Help - Length of curve problem

  1. #1
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    Length of curve problem

    To find the length of the curve defined by
    from the point (-2,10) to the point (1,13), you'd have to compute
    W

    here a= , b= and f(x)=
    So I know the arc length formula and I did that to get

    f(x)= sqrt(1+(4/25)x^10+(44/10)x^7+(121/4)x^4) and a=-2, b=1

    but that answer is wrong. I am really stuck.. I even searched the forum and looked in my calculus book but still do not know how to do this.. help?
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  2. #2
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    Re: Length of curve problem

    y = 2x^4 + 11x

    y' = 8x^3 + 11

    (y')^2 = 64x^6 + 176x^3 + 121

    L = \int_{-2}^1 \sqrt{1 + (y')^2} \, dx \approx 41.555
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  3. #3
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    Re: Length of curve problem

    Thanks! It was way easier than I thought, I get it now.
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