A335930 Decimal expansion of the arclength on y = sin(x) from (0,0) to (Pi,0).
3, 8, 2, 0, 1, 9, 7, 7, 8, 9, 0, 2, 7, 7, 1, 2, 0, 1, 7, 9, 0, 4, 7, 6, 2, 0, 8, 2, 1, 7, 1, 4, 4, 3, 2, 9, 1, 9, 0, 9, 9, 6, 7, 6, 1, 4, 6, 4, 7, 2, 7, 4, 7, 2, 1, 0, 8, 0, 4, 9, 6, 6, 5, 6, 7, 4, 7, 1, 9, 5, 8, 0, 1, 2, 1, 4, 3, 2, 9, 9, 2, 1, 0, 6, 6, 1, 8, 1, 0, 8
Offset: 1
Examples
arclength = 3.8201977890277120179047620821714432919099676146...
Crossrefs
Programs
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Mathematica
r = NIntegrate[Sqrt[1 + Cos[t]^2], {t, 0, Pi}, WorkingPrecision -> 200] RealDigits[r][[1]] First[RealDigits[Sqrt[8]*EllipticE[1/2], 10, 100]] (* Paolo Xausa, Nov 14 2024 *)
Formula
From Paolo Xausa, Nov 14 2024: (Start)
Comments