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A334843
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Decimal expansion of arclength between (0,0) and (Pi/6,1/2) on y = sin x.
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5
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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, 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, 3, 4, 9, 1, 5, 4, 5, 5, 9, 9, 9, 8, 1, 4, 5, 9, 4, 2
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OFFSET
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0,1
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LINKS
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FORMULA
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arclength = (3 - sqrt(3))/2.
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EXAMPLE
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arclength = 0.63397459621556135323627682924706381652859737309480968...
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MATHEMATICA
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s = Integrate[Sqrt[1 + D[Sin[x], x]^2], {x, 0, Pi/4}]
r = N[s, 200]
RealDigits[r][[1]]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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