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Re: Integrate[ 0.0*x, {x, 0, y}]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg103036] Re: Integrate[ 0.0*x, {x, 0, y}]
  • From: Szabolcs Horvát <szhorvat at gmail.com>
  • Date: Fri, 4 Sep 2009 07:01:49 -0400 (EDT)
  • References: <h7qemi$101$1@smc.vnet.net>

On 2009.09.04. 9:13, Nankyoku Ice wrote:
> Why does Integrate[ 0.0 * x, {x, 0, y}] yield 0.0*y^2, not 0 ?
>

In Mathematica, 0 denotes an exact zero.  0.0 denotes a number which has 
a certain number of zero digits to the right of the decimal point 
(Accuracy[0.0] to be exact), but is undetermined beyond that.

Here's the first introduction in the docs to exact vs approximate numbers:

http://reference.wolfram.com/mathematica/tutorial/ExactAndApproximateResults.html


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