OFFSET
1,1
COMMENTS
The inflection points are (-1,1) and (1,1), corresponding to one standard deviation.
EXAMPLE
arclength = 2.02982818143922696710333051626691663409401269956...
MATHEMATICA
s = Integrate[Sqrt[1 + (E^-x^2 x^2)/(2 Pi)], {x, -1, 1}]
r = N[s, 200]
RealDigits[r][[1]]
PROG
(PARI) intnum(x=-1, 1, sqrt(1+exp(-x^2)*x^2/(2*Pi))) \\ Michel Marcus, May 13 2020
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, May 13 2020
STATUS
approved