Equality of integrals
- To: mathgroup at smc.vnet.net
- Subject: [mg18145] Equality of integrals
- From: Bill Campbell <bill at metosrv2.umd.edu>
- Date: Fri, 18 Jun 1999 00:51:45 -0400
- Organization: UMD Dept. of Meteorology
- Sender: owner-wri-mathgroup at wolfram.com
I defined the following two integrals:
I1=Integrate[f[x],{x,0,q}]
and
I2= 3*Integrate[f[3x],{x,0,q/3}]
and asked if they were equal
I1==I2//FullSimplify
The result was returned unevaluated. Why doesn't Mathematica (3.0 for
Windows (for students) and 3.0 for DEC) know that the two are equal? Is
this result only true if q is real? If so, is there a way to let
Mathematica know q is real and thereby return True? If I issue the
command
I1==I2/.f->Sin//FullSimplify
or
I1==I2/.f->ArcCot//FullSimplify
or any of a variety of functions, Mathematica returns True.
--
Bill Campbell