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A333566
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Decimal expansion of the integral_{x=0..Pi} sin(sin(x)) dx.
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0
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1, 7, 8, 6, 4, 8, 7, 4, 8, 1, 9, 5, 0, 0, 5, 2, 3, 3, 6, 6, 8, 7, 4, 2, 3, 6, 0, 1, 2, 5, 1, 9, 5, 7, 2, 9, 3, 7, 6, 1, 4, 8, 0, 4, 5, 6, 1, 2, 8, 6, 8, 3, 3, 1, 1, 9, 9, 9, 8, 8, 8, 0, 1, 2, 3, 0, 4, 9, 5, 4, 5, 8, 7, 4, 8, 3, 2, 5, 7, 8, 7, 9, 1, 8, 3, 9, 4, 9, 9, 0, 3, 5, 7, 7, 2, 2, 6, 0, 6, 3, 1, 9, 3, 7, 2
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OFFSET
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1,2
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COMMENTS
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Used in the Help section of the built-in symbol "NIntegrate" in Mathematica as the first example although it runs the integration from 0 to 2 instead of from 0 to Pi, a half cycle or period.
To view the two curves sin(x) and sin(sin(x)), Plot[{Sin@x, Sin@Sin@x}, {x, 0, 2 Pi}] using Mathematica.
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LINKS
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EXAMPLE
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1.78648748195005233668742360125195729376148045612868331199988801230495458748...
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MATHEMATICA
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RealDigits[ NIntegrate[ Sin@ Sin@ x, {x, 0, Pi}, PrecisionGoal -> 111, WorkingPrecision -> 128], 10, 111][[1]]
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PROG
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(PARI) intnum(x=0, Pi, sin(sin(x))) \\ Michel Marcus, May 13 2020
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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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