Talk:Risch algorithm: Difference between revisions

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typo of some sort?
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I don't know what's missing... "are elementary functions"? Thought I should point it out. [[User:71.191.51.134|71.191.51.134]] 19:04, 29 July 2007 (UTC)
 
== This is incorrect ==
 
The article says:
 
: For example, all known programs (except Axiom) cannot find the antiderivative for
 
:: <math> f(x) = x / \sqrt{x^4 + 10 x^2 - 96 x - 71}</math>
 
This is simply not true. Both Mathematica and Maple can calculate the antiderivative (even not-so-recent versions). Anyone can try this at http://integrals.wolfram.com/ . (The Root[] objects represent roots of polynomials, i.e. numbers, and can be easily expanded (written in explicit form) using the ToRadicals[] command). I won't edit the article because I am not familiar with the topic (perhaps these programs don't use the Risch-algorithm for this specific problem?), but this needs to be cleaned up or rephrased ...