Re: Problem with integration
- To: mathgroup at smc.vnet.net
- Subject: [mg123692] Re: Problem with integration
- From: Bob Hanlon <hanlonr357 at gmail.com>
- Date: Fri, 16 Dec 2011 05:41:42 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- References: <201112150956.EAA23031@smc.vnet.net>
The input form of the exponential constant is E vice e.
NIntegrate[E^(-x) ((1 + 2 x)/(1)) *
(BesselK[0, 2 Sqrt[x] Sqrt[1 + x]] +
BesselK[2, 2 Sqrt[x] Sqrt[1 + x]]) +
(4 x^2 + 2 x - 1)*BesselK[1, 2 Sqrt[x] Sqrt[1 + x]]*
E^(-x)/((1) Sqrt[x] Sqrt[1 + x]), {x, 0, 1}]
1.245
Bob Hanlon
On Thu, Dec 15, 2011 at 4:56 AM, Mehdi Mortazawi
<mehdimortazawi at gmail.com> wrote:
> Hi,
> I was curious if there is difference between online Mathematica and
> the one I have installed on my MAC(Mathematica version: 8.0.4.0).
> The question rises from the problem that I am facing with numerical
> integration. I want to integrate the following equation:
>
> NIntegrate[e^(-x) ((1 + 2 x)/(1)) (BesselK[0, 2 Sqrt[x] Sqrt[1+x]]
> +BesselK[2, 2 Sqrt[x] Sqrt[1 + x]]) + (4 x^2 +2 x-1)*BesselK[1, 2
> Sqrt[x] Sqrt[1+x]]*e^(-x)/((1)Sqrt[x] Sqrt[1 + x]),{x,0,1}]
>
> When I type the equation on my computer, I receive the following
> message:
> " ...has evaluated to non-numerical values for all sampling points in
> the region with boundaries {{0,1}"
> but the online version gives the following answer which is the value I
> am expecting:
>
> http://www.wolframalpha.com/input/?i=NIntegrate[e^%28-x%29+%28%281+%2B+=
2+x%29%2F%281%29%29+%28BesselK[0%2C+2+Sqrt[x]+Sqrt[1%2Bx]]%2BBesselK[2%2C+2=
+Sqrt[x]+Sqrt[1+%2B+x]]%29+%2B+%284+x^2+%2B2+x-1%29*BesselK[1%2C+2+Sqrt[x]+=
Sqrt[1%2Bx]]*e^%28-x%29%2F%28%281%29Sqrt[x]+Sqrt[1+%2B+x]%29%2C{x%2C0%2C1}]
>
- References:
- Problem with integration
- From: Mehdi Mortazawi <mehdimortazawi@gmail.com>
- Problem with integration