OFFSET
1,1
FORMULA
arclength = sqrt(1 + e^2) - sqrt(2) + arctanh(sqrt(2)) - arctanh(sqrt(1+e^2)).
EXAMPLE
arclength = 2.003497111627352478569902752420239130821142795232094...
MATHEMATICA
s = Integrate[Sqrt[1 + E^(2 x)], {x, 0, 1}]
r = N[s, 200]
RealDigits[r][[1]]
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Jun 12 2020
STATUS
approved