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MathGroup Archive 1999

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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





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