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Re: Some bugs in Mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg59473] Re: Some bugs in Mathematica
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Wed, 10 Aug 2005 02:57:43 -0400 (EDT)
  • Organization: The University of Western Australia
  • References: <200508010505.BAA24522@smc.vnet.net> <1192.12.210.86.190.1123296535.squirrel@webmail.wolfram.com> <BAY106-DAV184D0BD361AEF55157E0CBC9C60@phx.gbl> <42F50087.5050308@wolfram.com> <BAY106-DAV47DC8237BFF1A81020924C9C60@phx.gbl> <dd4fhp$huv$1@smc.vnet.net> <dd72pu$3mh$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <dd72pu$3mh$1 at smc.vnet.net>, akhmel at hotmail.com wrote:

> Regretfully, you mistyped the expression for the antiderivative and
> therefore, when you tried to do the differentiation, it didn't work.
> 
> The correct expression is:
> 
> 1/(a*b)*ArcTanh[(b*Sqrt[r^2 - a^2]) / (a*Sqrt[r^2 - b*2])]

Regretfully, you mistyped the expression for the antiderivative and
therefore, when you try to do the differentiation, it won't work.

> In order to avoid misunderstanding, I describe the argument of ArcTanh
> verbally: it is a fraction. The numerator is "b" TIMES sqare root of
> "r" squared minus "a" squared. The denominator is "a" TIMES sqare root
> of "r" squared minus "b" squared. I hope now there will be no
> misunderstanding.

Indeed, you will see that that is _not_ what you typed above!

Cheers,
Paul

-- 
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