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Re: Calculate a numerical integral with enough precision

  • To: mathgroup at smc.vnet.net
  • Subject: [mg114709] Re: Calculate a numerical integral with enough precision
  • From: Alexei Boulbitch <alexei.boulbitch at iee.lu>
  • Date: Mon, 13 Dec 2010 06:34:34 -0500 (EST)

NIntegrate[Exp[Sin[1/x]], {x, 0, \[Pi]/2}, WorkingPrecision -> 12,
   Exclusions -> (x == 0), PrecisionGoal -> 15] // Quiet

3.09892833696

    * /Subject/: [mg114668] Calculate a numerical integral with enough
      precision
    * /From/: alphatest <iliurarfwpuap at mailinator.com>
    * /Date/: Sun, 12 Dec 2010 05:45:17 -0500 (EST)

------------------------------------------------------------------------

How can we calculate the following integral up to 10-12 decimal places?

integrate exp(sin(1/x)) , x=0..pi/2

It's as if no integration method or precision option lets you calculate more than 5-6 decimal places. Is it possible?



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