Re: A bug of Integrate[] in Mathematica 4.1
- To: mathgroup at smc.vnet.net
- Subject: [mg27573] Re: A bug of Integrate[] in Mathematica 4.1
- From: Pavel.Pokorny at vscht.cz
- Date: Wed, 7 Mar 2001 04:08:16 -0500 (EST)
- Organization: Prague Institute of Chemical Technology
- References: <96vv8p$lv@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Mathematica 4.0 for IBM RISC System/6000
In[1]:= Integrate[1 - x^(-9999/10000), {x, 0, 1}]
gives no results either.
--
Pavel Pokorny
Math Dept, Prague Institute of Chemical Technology
http://staff.vscht.cz/mat/Pavel.Pokorny
Rino Bandiera <bandiera at arcetri.astro.it> wrote:
: Hi!
: While Mathematica 4.1 correctly solves the Integral:
: Integrate[1 - x^a, {x, 0, 1}]
: a
: ----
: 1 + a
: it gets stuck with an Integral like:
: Integrate[1 - x^(-9999/10000), {x, 0, 1}]
: (i.e. an exponent close to -1, but as a fraction of 2 large integer
: numbers)
: Mathematica 3.0, instead, was working well on this point.
: A related problem is for definite integrals like:
: Integrate[1 - x^((5 - q)/2), {x, 0, 1}]
: Here, while Mathematica 3.0 did not check on the allowed interval for
: the parameter q, Mathematica 4.1
: does, but giving incorrect results.
: In fact the quote interval of validity is: Re[q]<2 (while it
: should clearly be: Re[q]]<7)
: Odd results come out for all this class of functions.
: -------------
: I have reported the problem to the Wolfram Support. The only result I
: got are the following answers:
:> Thank you for the report. Integrate[] appears to be behaving
: erroneously in
:> all of the cases you present. I have notified the the developers of
: the
:> problems. Unfortunately, there does not appear to be a workaround.
:> Unfortunately, there are no bug lists available, and I will not be
: informed
:> of the status of the bug until it is fixed. Most likely, a patch will
: not be
:> made available.
: Therefore, no solution is on the way, unfortunately. JUST BE CAREFUL!
: Best
: regards, Rino