integral of 1/(x^4+3*x^2+1) fails

• Subject: integral of 1/(x^4+3*x^2+1) fails
• From: Barton Willis
• Date: Sun, 1 Jun 2008 18:54:41 -0500

I refreshed my memory: The Horowitz method (1969) gives the rational part
of the
antiderivative of a rational function. The method for the logarithmic part
is
due to Trager (1976), I think. The residue method (at least for definite
integration of rational functions) that Maxima might be using seems to be
due to Wang (circa 1974). Maybe Maxima isn't using the best methods for
rational function integration?

Barton

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