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A253300
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Decimal expansion of integral_{x=0..1} x^sqrt(x) dx.
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1
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6, 5, 8, 5, 8, 2, 3, 5, 4, 1, 0, 9, 0, 9, 3, 5, 6, 5, 4, 6, 9, 6, 5, 6, 8, 5, 3, 4, 0, 3, 6, 4, 4, 1, 7, 0, 1, 5, 6, 4, 0, 5, 8, 9, 2, 7, 7, 3, 3, 6, 2, 4, 6, 1, 1, 3, 3, 7, 5, 8, 6, 2, 6, 4, 2, 6, 5, 4, 6, 7, 1, 7, 8, 8, 7, 9, 8, 7, 1, 9, 5, 7, 8, 8, 8, 1, 4, 1, 6, 4, 6, 8, 5, 9, 1, 1, 3, 9, 0, 2, 9, 8, 6, 4, 6
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OFFSET
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0,1
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REFERENCES
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Paul J. Nahin, Inside Interesting Integrals, Springer 2014, ISBN 978-1493912766.
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LINKS
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FORMULA
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Equals sum_{n >= 1} (-1)^(n + 1)*(2/(n + 1))^n.
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EXAMPLE
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0.6585823541090935654696568534036441701564...
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MATHEMATICA
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NIntegrate[x^Sqrt[x], {x, 0, 1}, WorkingPrecision -> 110] // RealDigits[#, 10, 105]& // First
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PROG
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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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