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Topic: A bug in Reduce package 'algint'?
Replies: 9   Last Post: Feb 1, 2013 6:02 PM

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clicliclic@freenet.de

Posts: 997
Registered: 4/26/08
A bug in Reduce package 'algint'?
Posted: Jan 21, 2013 1:55 PM
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Wanting to refresh my knowledge of the capabilties of the Reduce algebra
system, I have recently browsed the website. The system comes with the
'algint' package by J. Davenport which boosts the integrator
capabilities for algebraic functions. The package documentation

<http://www.reduce-algebra.com/docs/algint.pdf>

introduces the example integrand sqrt(sqrt(a^2 + x^2) + x)/x. A correct
antiderivative for this is

2*(sqrt(sqrt(a^2 + x^2) + x)
- sqrt(a)*atanh(sqrt(sqrt(a^2 + x^2) + x)/sqrt(a))
- sqrt(a)*atan(sqrt(sqrt(a^2 + x^2) + x)/sqrt(a)))

The antiderivative printed in the documentation, however, is either very
wrong or garbled beyond recognition.

Martin.



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