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Re: Correction to "Fundamental Theorem of Calculus and

  • To: mathgroup at smc.vnet.net
  • Subject: [mg100804] Re: Correction to "Fundamental Theorem of Calculus and
  • From: Simon <simonjtyler at gmail.com>
  • Date: Sun, 14 Jun 2009 05:41:36 -0400 (EDT)
  • References: <h0vtkj$75m$1@smc.vnet.net>

Hi Bob,

The trace does indeed show the problem, but I don't understand why the
Gaussian integral returns the error function evaluated at 3...
The other example that Len gave works ok -- the Integral[Sin[t^2],{t,
0,#1}] returns Sqrt[Pi/2]*FresnelS[Sqrt[2/Pi]*#1] as expected...
or a simpler case:

f[x_] := Integrate[Sin[t], {t, 0, x}]

f'[x] // Trace // InputForm

{{HoldForm[Derivative[1][f]], {HoldForm[f[#1]], HoldForm[Integrate[Sin
[t], {t, 0, #1}]], HoldForm[1 - Cos[#1]]}, HoldForm[Sin[#1] & ]},
 HoldForm[(Sin[#1] & )[x]], HoldForm[Sin[x]]}

Do you (or anyone else here) know why Mathematica behaving this way
when given the Gaussian?  Is it a known bug?

Simon


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