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MathGroup Archive 2006

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Re: What's wrong with Integrate [ 1/x, {x,1,Infinity}]?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg66565] Re: What's wrong with Integrate [ 1/x, {x,1,Infinity}]?
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Sat, 20 May 2006 04:47:21 -0400 (EDT)
  • References: <e4jucn$d6u$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

because Mathematica make a test, that the result converges to
a finite number. And it tells you
Integrate::idiv Integral of 1/x does not converge on {1, Infinity}.

Regards
   Jens

Pavel Pokorny wrote:
>   Dear Mathematica friends
> 
> what is the reason Mathematica 5.2 does not compute 
> 
> In[1]:= Integrate [ 1/x, {x,1,Infinity}]
> 
>                              1
> Integrate::idiv: Integral of - does not converge on {1, Infinity}.
>                              x
> 
>                   1
> Out[1]= Integrate[-, {x, 1, Infinity}]
>                   x
> 
> while this works:
> 
> In[2]:= Limit [ Integrate [ 1/x, {x,1,b}], b->Infinity]
> 
> Out[2]= Infinity
> 
> I always thought the first formulation 
> is just a shorthand of the second one,
> being equivalent in its meaning.
> 


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