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big imaginary error in region integration

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  • Subject: [mg48075] big imaginary error in region integration
  • From: o.soloviev at (Oleg Soloviev)
  • Date: Tue, 11 May 2004 05:19:57 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

Hi all,

who can explain, why does Mathematica return complex number when
integrating real integrand? The imaginary part is of the same
magnitude here as the real one:
In[2]:=Integrate[x Boole[(1/2+x)^2+y^2<1/100.],{x,-1,1},{y,-1,1}]
Out[2]=-0.015708-0.0160944 I.
With exact numbers the answer is real:
In[3]:=Integrate[x Boole[(1/2+x)^2+y^2<1/100],{x,-1,1},{y,-1,1}]

With regards,

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