Defining symmetric functions

*To*: mathgroup at smc.vnet.net*Subject*: [mg6228] Defining symmetric functions*From*: Axel Thimm <thimm at physik.fu-berlin.de>*Date*: Fri, 28 Feb 1997 03:21:49 -0500*Organization*: Freie Universitaet Berlin*Sender*: owner-wri-mathgroup at wolfram.com

If you ask for Sin[x] + Sin[-x] Mathematica correctly says 0. Now I would like to let mathematica simplify an integral involving some unknown symmetric functions. So mathematica should be able to set Integral[symm[x], {x,-1,1}] to be equal zero, without knowing how symm[x] looks exactly. How should I do this? w[x_] := w[-x] gives me too many recursions and using restrictions on patterns like /; x>0 doesn't help also. Thanks in advance, Axel. -- Axel Thimm thimm at physik.fu-berlin.de thimm at ifh.de