OFFSET
1,3
FORMULA
arclength = sqrt(2) = sqrt(1+ 1/e^2) + arcsinh(e) - arcsinh(1).
EXAMPLE
arclength = 1.192701401972154592777794219819503064418488768866...
MATHEMATICA
s = Integrate[Sqrt[1 + D[E^(-x), x]^2], {x, 0, 1}]
r = N[s, 200]
RealDigits[r][[1]]
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Jun 12 2020
STATUS
approved