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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg54274] Re: Is the answer for this Integral correct???
  • From: Max Goldfarb <TheMuati at verizon.net>
  • Date: Wed, 16 Feb 2005 14:35:54 -0500 (EST)
  • References: <curuei$t3l$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.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???
> 
> Mathemtica output below......
> ___________________________
> 
> In[3]:=  (21:43:17 on 2/14/05 
> Integrate[Log[x]/x, {x, -1 ,1}]
> 
> Out[3]=  (21:43:17 on 2/14/05)
> 0
> 

if you look at the graph of this function, it is asymptotic at zero, so 
the area is kinda infinite.  It isn't defined from -1 to 0, so the 
bounds can be changed.  So... the answer Mathematica gave was not right, 
  I guess.


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