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Re: A Problem with Simplify

  • To: mathgroup at smc.vnet.net
  • Subject: [mg87736] Re: A Problem with Simplify
  • From: Bhuvanesh <BhuvaneshBhatt at gmail.com>
  • Date: Wed, 16 Apr 2008 05:05:28 -0400 (EDT)
  • References: <fu1u56$onj$1@smc.vnet.net> <fu218s$r6i$1@smc.vnet.net>

On Apr 15, 5:50 am, Alexey Popkov <pop... at gmail.com> wrote:
> > "For indefinite integrals, Integrate tries to find results that are
> > correct for almost all values of parameters."
>
> This note is located under "MORE INFORMATION" field in the reference
> for Integrate. And this seems to be false... :( And for definite
> integrals there is an option "GenerateConditions" that does not work
> in the most cases (try it with example above:
> int1 = Integrate[Sin[a*x/L]*Sin[x/L], {x, 0, L}, GenerateConditions ->
> True]
> int1 /. a -> 1
> The answer is Indeterminate that is false! :(
> ).

Again, the given behavior is not a bug. It is similar to Mathematica
returning x^(n+1)/(n+1) for the indefinite integral of x^n, or
simplifying x/x to 1. You missed the part in the manual where it says
that Integrate tries to find results that are correct for *almost all*
(emphasis added) values of parameters.

Bhuvanesh,
Wolfram Research


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