Re: Another strange bug in Mathematica 4.0's Integrate

*To*: mathgroup at smc.vnet.net*Subject*: [mg25371] Re: Another strange bug in Mathematica 4.0's Integrate*From*: Hendrik van Hees <h.vanhees at gsi.de>*Date*: Sun, 24 Sep 2000 16:29:06 -0400 (EDT)*Organization*: GSI Darmstadt*References*: <8q21lp$hoh@smc.vnet.net> <ztgz5.89556$Zh6.152771@ralph.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

It's funny what the CA-fans argue and don't admit that a bug is a bug. If I put in Integrate[Sqrt[r^2-x^2],{x,-r,r},Assumptions->{r>0}] this is a well defined expression in terms of a real integral. The square root is positive because the principle value is realised (according to the online documentation). Further as long as I do not tell the path of integration it must be a real integral, otherwise Integrate is not well defined! -- Hendrik van Hees Phone: ++49 6159 71-2751 c/o GSI-Darmstadt SB3 3.183 Fax: ++49 6159 71-2990 Planckstr. 1 mailto:h.vanhees at gsi.de D-64291 Darmstadt http://theory.gsi.de/~vanhees/index.html