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Nasty bug in Integrate (version 5.0)

• To: mathgroup at smc.vnet.net
• Subject: [mg45881] Nasty bug in Integrate (version 5.0)
• From: mathuser7 at hotmail.com (Math User)
• Date: Wed, 28 Jan 2004 05:19:31 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

Sorry if this has been discussed before. Could anyone explain why
Mathematica 5.0 is ignoring the term 1/x in the first and second
answers?

Thanks!


In[1]:= Integrate[1/x + x^c, {x, a, b}]

Out[1]= (-a^(1 + c) + b^(1 + c))/(1 + c)

In[2]:= Integrate[1/x + x^c, {x, a, b}, Assumptions -> {Element[a,
Reals], Element[b, Reals]}]

Out[2]= (-a^(1 + c) + b^(1 + c))/(1 + c)

In[3]:= Integrate[1/x + x^c, {x, a, b}, Assumptions -> {a > 0, b > 0}]

Out[3]= (-a^(1 + c) + b^(1 + c))/(1 + c) + Log[b/a]

• Follow-Ups:
  • Re: Nasty bug in Integrate (version 5.0)
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>