Re: Is there anything wrong? (2)
- To: mathgroup at smc.vnet.net
- Subject: [mg78784] Re: Is there anything wrong? (2)
- From: dimitris <dimmechan at yahoo.com>
- Date: Mon, 9 Jul 2007 01:42:33 -0400 (EDT)
- References: <f6qdq3$9ll$1@smc.vnet.net>
Budaoy :
> I have a problem in calculating this integral shown below(I've posted
> this question before, but I typed Exp[-x] as Exp[x] incorrectly so you
> have figured out both of them were not converge):
>
> 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?
See here
http://groups.google.gr/group/sci.math.symbolic/browse_thread/thread/606f8ea653511ced/99f2d434e2cd3c66?lnk=gst&q=Pi%5E2%2F6&rnum=2&hl=el#99f2d434e2cd3c66
Dimitris