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A335928
Decimal expansion of the arclength on y = sin(x) from (0,0) to (Pi/4,sqrt(2)).
6
1, 0, 5, 8, 0, 9, 5, 5, 0, 1, 3, 9, 2, 5, 6, 3, 0, 5, 7, 7, 2, 7, 8, 8, 9, 3, 9, 1, 9, 3, 5, 9, 4, 6, 8, 8, 7, 7, 4, 8, 4, 9, 0, 4, 9, 9, 7, 7, 9, 6, 9, 1, 9, 3, 0, 5, 6, 0, 6, 4, 4, 6, 2, 4, 4, 1, 1, 6, 8, 2, 6, 3, 6, 1, 2, 3, 6, 9, 4, 7, 9, 4, 8, 0, 8, 2
OFFSET
1,3
EXAMPLE
arclength = 1.05809550139256305772788939193594688774...
MATHEMATICA
r = NIntegrate[Sqrt[1 + Cos[t]^2], {t, 0, Pi/4}, WorkingPrecision -> 200]
RealDigits[r][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 01 2020
STATUS
approved