Real integration help
- To: mathgroup at smc.vnet.net
- Subject: [mg127204] Real integration help
- From: Mark Williams <mwilliams at mint.ua.edu>
- Date: Sat, 7 Jul 2012 05:31:08 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
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 [https://mail.mint.ua.edu/owa/Image1.gif] )]+z ArcTanh[[https://mail.mint.ua.edu/owa/Image1.gif]/x] in the blanks are Sqrt[x^2+z^2+y^2] 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
![https://mail.mint.ua.edu/owa/Image1.gif]/x](https://mail.mint.ua.edu/owa/Image1.gif]/x){kind=link}