Measuring the length of any function

Question

Measuring the length of any function? for example, if y = f(x), what is the length of the function curve between x = 2 to x = 5?

See also this Wikipedia entry. Beware that calculating arc length leads to integrals that are sometimes not evaluated explicitly, even for a simple polynomial such as f[x_] := x^3+x^4. Use numerical evaluation N in that case. Related posts on this side include this. — user293787, Jul 23 '22 at 07:15
Possible duplicates: (59756), (115401), (133133). Related: (137678) — Michael E2, Jul 23 '22 at 15:31

cvgmt · Answer 1 · 2022-07-23T07:23:01.523

7

ArcLength[{x, f[x]}, {x, 2, 5}]

Or calculate the numerical result.

ArcLength[{x, f[x]}, {x, 2., 5}]
ArcLength[{x, f[x]}, {x, N@2, 5}]

edited Jul 23 '22 at 07:23

answered Jul 23 '22 at 07:03

cvgmt

2

Or ArcLength[{x, f[x]}, {x, 2, 5}, WorkingPrecision -> 10] – Bob Hanlon Jul 23 '22 at 15:35

1 Answers1