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Math Help - length of curve

  1. #1
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    length of curve

    To find the length of the curve defined by y=2x^3+17x
    from the point (0,0) to the point (3,105) you have to compute ∫f(x)dx from a to b where a=?,b=?, and f(x)=?
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  2. #2
    Super Member angel.white's Avatar
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    Quote Originally Posted by waite3 View Post
    To find the length of the curve defined by y=2x^3+17x
    from the point (0,0) to the point (3,105) you have to compute ∫f(x)dx from a to b where a=?,b=?, and f(x)=?
    Arc length: \int_a^b \sqrt{1+[f\prime(x)]^2}~dx

    For yours that means
    \int_0^3 \sqrt{1+(6x^2+17)^2}~dx

    Answer is 105.0524 units
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