OFFSET
1,2
FORMULA
arclength = 2F1(-1/2;1/6;7/6;-16), where 2F1 is the hypergeometric function.
EXAMPLE
arclength = 1.60022942767220583728997791564995...
MATHEMATICA
s = Integrate[Sqrt[1 + 16 x^6], {x, 0, 1}]
r = N[s, 200]
RealDigits[r][[1]]
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Jun 12 2020
STATUS
approved