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Re: The integration test suites for Sage.
Posted:
Sep 8, 2013 4:42 AM


On Friday, September 6, 2013 6:52:03 AM UTC10, clicl...@freenet.de wrote:
> > Charlwood_problem(21) > > integrand : x^3*arcsin(x)/sqrt(x^4 + 1) > > antideriv : 1/4*sqrt(x^2 + 1)*x  1/2*sqrt(x^4 + 1)*arcsin(x) + 1/4*arcsinh(x) > > maxima : 1/4*sqrt(x^2 + 1)*x  1/2*sqrt(x^4 + 1)*arcsin(x) + 1/4*arcsinh(x) > > That's easy to judge. > > Yes, they are identical. Perhaps Albert made a mistake here? > > > Charlwood_problem(23) > > integrand : x*log(x + sqrt(x^2 + 1))*arctan(x)/sqrt(x^2 + 1) > > antideriv : sqrt(x^2 + 1)*log(x + sqrt(x^2 + 1))*arctan(x)  x*arctan(x)  1/2*log(x + sqrt(x^2 + 1))^2 + 1/2*log(x^2 + 1) > > maxima : (sqrt(x^2 + 1)*log(x + sqrt(x^2 + 1))  x)*arctan(x) + 1/2*log(x + sqrt(x^2 + 1))^2  log(x + sqrt(x^2 + 1))*arcsinh(x) + 1/2*log(x^2 + 1) > > > > What did I overlook? > > Apparently nothing. [...] So number 23 must be counted as a full success. > Perhaps Albert made a mistake here too?
I just tried Maxima 5.28 on Charlwood problems #21 and #23. It was unable to integrate #21 in closedform, and it generated a "Lisp error" when attempting to integrate #23. Hence Maxima 5.28 was given a grade of 0 on these two problems in the table of Charlwood Fifty test results I posted.
Note that these test results are for Maxima 5.28, not some mystery version of Maxima being used by Sage. Maxima 5.28 is available for free from SourceForge at
http://sourceforge.net/projects/maxima/?source=directory
Albert



