%I #5 Jun 15 2020 13:39:01
%S 6,3,3,9,7,4,5,9,6,2,1,5,5,6,1,3,5,3,2,3,6,2,7,6,8,2,9,2,4,7,0,6,3,8,
%T 1,6,5,2,8,5,9,7,3,7,3,0,9,4,8,0,9,6,8,5,9,7,2,0,9,6,5,1,0,2,7,4,0,3,
%U 3,4,9,1,5,4,5,5,9,9,9,8,1,4,5,9,4,2
%N Decimal expansion of arclength between (0,0) and (Pi/6,1/2) on y = sin x.
%F arclength = (3 - sqrt(3))/2.
%e arclength = 0.63397459621556135323627682924706381652859737309480968...
%t s = Integrate[Sqrt[1 + D[Sin[x], x]^2], {x, 0, Pi/4}]
%t r = N[s, 200]
%t RealDigits[r][[1]]
%Y Cf. A333202, A332633, A334842.
%K nonn,cons,easy
%O 0,1
%A _Clark Kimberling_, Jun 15 2020
|