Re: Why does this happen?
- To: mathgroup at smc.vnet.net
- Subject: [mg78698] Re: [mg78668] Why does this happen?
- From: Curtis Osterhoudt <cfo at lanl.gov>
- Date: Sat, 7 Jul 2007 06:01:39 -0400 (EDT)
- Organization: LANL
- References: <200707060731.DAA21496@smc.vnet.net>
- Reply-to: cfo at lanl.gov
On Friday 06 July 2007 01:31:37 Budaoy wrote:
> I have a problem in calculating this integral shown below:
>
> Integrate[Log[1+Exp[x]/Sqrt[x]],{x,0,Infinity}]
> Pi^2/6
>
> N[%]
> 1.64493
>
> NIntegrate[Log[1+Exp[x]/Sqrt[x]],{x,0,Infinity}]
> 1.01799
>
> Where does this difference come from and which one is correct?
I'm willing to bet that neither one is correct. If you plot the function you
give, its area definitely does NOT converge on {0, Infinity}.
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Curtis Osterhoudt
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==========================================================
- References:
- Why does this happen?
- From: Budaoy <yaomengliang@gmail.com>
- Why does this happen?