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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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Posts: 1,245
Registered: 4/26/08
Re: A bug in Reduce package 'algint'?
Posted: Jan 21, 2013 7:47 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply schrieb:
> 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.

I took another look and - the Reduce result printed in the documentation
is correct:





as required (I had made a mistake inputting the pretty-printed result
into Derive). Sorry for that - but then it was this mistake what made me
find a more compact antiderivative!


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