Re: Integrate question
- To: mathgroup at smc.vnet.net
- Subject: [mg82391] Re: Integrate question
- From: "Kevin J. McCann" <Kevin.McCann at umbc.edu>
- Date: Fri, 19 Oct 2007 04:57:36 -0400 (EDT)
- Organization: University System of Maryland
- References: <ff1pru$924$1@smc.vnet.net> <23590028.1192651562452.JavaMail.root@m35> <ff783s$npe$1@smc.vnet.net>
Excellent demo, Bobby.
Kevin
DrMajorBob wrote:
> Testing it numerically, I get:
>
> cauchy[epsilon_?Positive] :=
> Integrate[x/(3 x^2 - 1)^3, {x, 0, Sqrt[1/3] - epsilon}] +
> Integrate[x/(3 x^2 - 1)^3, {x, Sqrt[1/3] + epsilon, 1}]
> cauchy /@ (3.^-Range[20])
>
> {-0.0233868, -0.158072, -0.588358, -1.8865, -5.78329, -17.4737, \
> -52.526, -157.163, -457.048, -978.052, 7680.08, 309458., 8.64827*10^6,
> 2.33306*10^8, 6.21267*10^9, 1.60783*10^11, 3.83616*10^12,
> 7.35457*10^13, 8.58974*10^14, 4.49786*10^15}
>
> Bobby
--
Kevin J. McCann
Research Associate Professor
JCET/Physics
Physics Building
University of Maryland, Baltimore County
1000 Hilltop Circle
Baltimore, MD 21250