how to find the arc length of a function

Question

owlfred · Answer

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anonymous · Answer

Let f be a function such that the derivative f' is continuous on the closed interval [a, b]. The arc length of f from x = a to x = b is the integral

anonymous · Answer

the length of a cuvre is the integral sum of the small infinitesimals dI. $$dl=\sqrt{dx^2+dy^2}$$
now integrate this over the limit [a,b] where the function is defined.
PS:take dx outta the integral and u hav f' ... u now can peacefully integrate.

anonymous · Answer

integral from a to b sqrt(1+[f '(x)]^2) dx

mathteacher1729 · Answer

VIDEOS: http://patrickjmt.com/tag/arc-length/ NOTES: http://tutorial.math.lamar.edu/Classes/CalcII/ArcLength.aspx INTERACTIVE GRAPH (turn on Java) http://www.math.psu.edu/dlittle/java/calculus/arclength.html Hope this helps. :)