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Real integration help

  • To: mathgroup at
  • Subject: [mg127204] Real integration help
  • From: Mark Williams <mwilliams at>
  • Date: Sat, 7 Jul 2012 05:31:08 -0400 (EDT)
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The Group,

I am doing symbolic integration using all real values. The particular integration returns a function which when evaluated is complex. In particular:

Integrate[ArcTan[x*y/(z*Sqrt[x^2+z^2+y^2])],y] returns

y ArcTan[(x y)/(z [] )]+z ArcTanh[[]/x]  in the blanks are


The ArcTanh is only real on (-1, 1). Is there a way to constrain Mathematica to real results? I dislike the idea of doing the integral by hand.

Thanks in advance.

Mark Williams

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