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Math Help - Length of a line

  1. #1
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    Post Length of a line

    Hi there, i was puzzling over this today and wonder if someone could help.

    if i had a line of some equation, say

    y=3(x^3)+2(x^2)+x+1

    which is just some cubic, how would i calculate the length of a line between say, 0 and 5? obviously i would have to use integration by substitution, but where do i go from there?

    thanks
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  2. #2
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    Sorry I don't quite understand what you mean by where do i go from there, but this is the formula for calculating the length s of the path from x=a to x=b of a continuous and continuously differentiable function f(x):

    s = \int_a^b \sqrt{1 + f'(x)^2} dx .
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  3. #3
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    thanks, that was helpful. i hadn't been able to find a concise approach online.
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