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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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Axel Vogt

Posts: 1,068
Registered: 5/5/07
Re: A bug in Reduce package 'algint'?
Posted: Jan 21, 2013 4:16 PM
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On 21.01.2013 19:55, wrote:
> 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
> <>
> 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.

Maple 16 returns 2*sqrt(2*x)*hypergeom([-1/4, -1/4, 1/4],[1/2, 3/4],-a^2/x^2)
May be right, but not that 'usefull' w.r.t. your result

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