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.
>