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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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