Parametric Numerical Integral
- To: mathgroup at smc.vnet.net
- Subject: [mg63095] Parametric Numerical Integral
- From: "Nikola Letic" <nletic at yahoo.com>
- Date: Wed, 14 Dec 2005 04:35:57 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hello,
I have the following problem:
I define a parametric integral as follows:
int[p_]:=NIntegrate[If[t == 0, 0,1/(E^((1/2)*(-2 +
1/t)^2)*(Sqrt[2*Pi]*t))],{t, -p, p}, MaxRecursion -> 50,WorkingPrecision ->
50]
it works fine for numerical values of p such as int[10], but when I try
something like this:
<< NumericalMath`NLimit`
NLimit[int[p], p -> Infinity]
it ends up with error messages:
NIntegrate::nlim: t = 1.00000 p is not a valid limit of integration.
Now I tought that NLimit should also deal only with numerical values, but I
was wrong. Seems that the way I defined this function above has serious
limitations in its further usage.
Does any of you Mathematica Gurus know an easy workaround for this?
Thanks in advance
Nikola Letic