Search: id:A105419
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%I A105419
%S A105419 7,6,4,0,3,9,5,5,7,8,0,5,5,4,2,4,0,3,5,8,0,9,5,2,4,1,6,4,3,4,2,8,8,6,5,
%T A105419 8,3,8,1,9,9,3,5,2,2,9,2,9,4,5,4,9,4,4,2,1,6,0,9,9,3,3,1,3,4,9,4,3,9,1,
%U A105419 6,0,2,4,2,8,6,5,9,8,4,2,1,3,2,3,6,2,1,7,8,9,0,2,4,4,4,9,6,5,6,4,4,0,8
%N A105419 Decimal expansion of the arc length of the sine or cosine curve for one 
               full period.
%D A105419 Howard Anton, Irl C. Bivens, Stephen L. Davis, Calculus, Early Transcendentals, 
               7th Edition, John Wiley & Sons, Inc., NY, Section 7.4 Length of a 
               Plane Curve, page 489.
%F A105419 Integral_{0, 2Pi} Sqrt(1+Cos(x)^2) dx.
%e A105419 I=7.640395578055424035809524164342886583819935229294549442160993313...
%t A105419 RealDigits[ NIntegrate[ Sqrt[1 + Cos[x]^2, {x, 0, 2Pi}, MaxRecursion 
               -> 12, WorkingPrecision -> 128], 10, 111][[1]]
%Y A105419 Sequence in context: A021571 A013675 A132714 this_sequence A134982 A064533 
               A021933
%Y A105419 Adjacent sequences: A105416 A105417 A105418 this_sequence A105420 A105421 
               A105422
%K A105419 cons,nonn
%O A105419 1,1
%A A105419 Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 06 2005

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