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Integrate with multiple integrals -- bug?

• To: mathgroup at smc.vnet.net
• Subject: [mg67377] Integrate with multiple integrals -- bug?
• From: Martin Schoenecker <ms_usenet at gmx.de>
• Date: Wed, 21 Jun 2006 02:12:31 -0400 (EDT)
• Organization: Technische Universitaet Darmstadt
• Sender: owner-wri-mathgroup at wolfram.com

Hello,

I am wondering where my or Mathematica's error in reasoning lies:

In[1]:= Integrate[g[z], {x, 0, a}]
Out[1]= a*g[z]

ok, because the function g does not depend on x.

In[2]:= Integrate[g[z], {z, 0, c}]
Out[2]= Integrate[g[z], {z, 0, c}]

ok, function g is not specified at the moment.

In[3]:= Integrate[g[z], {z, 0, c}, {x, 0, a}]
Out[3]= Integrate[a*g[z], {z, 0, c}]

also ok.  Now with the integration order reversed:

In[4]:= Integrate[g[z], {x, 0, a}, {z, 0, c}]
Out[4]= a*g[z]

?? why this result ??

• Follow-Ups:
  • Re: Integrate with multiple integrals -- bug?
    • From: gardyloo <gardyloo@mail.wsu.edu>