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Re: Is the answer for this Integral correct???

  • To: mathgroup at smc.vnet.net
  • Subject: [mg54297] Re: Is the answer for this Integral correct???
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Wed, 16 Feb 2005 14:36:22 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

On 2/14/05 at 11:38 PM, zeno333 at mindspring.com (zeno) wrote:

>Using Mathematica 4.2, I get the answer of 0 for this Integral....

>Integrate[Log[x]/x, {x, -1 , 1}]

>Is this the correct answer???

It doesn't look correct given

In[1]:=Limit[Log[x]/x, x -> 0,  Direction -> -1]
Out[1]=-Infinity

and

In[2]:=Limit[Log[x]/x, x -> 0,  Direction -> 1]
Out[2]=Infinity

And when I attempt this integral as written in version 5.1 I get an error message stating the integral doesn't converge on {-1,1}
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