I discovered the following article online (http://amca01.wordpress.com/ 2010/01/08/symbolic-integration-with-an-open-source-cas/). Suggesting that there are certain cases, in which sage fails to integrate functions that can be integrated. The functions that the author of this article said could not be integrated by sage, in fact, were not integrated when I tested them today with the latest version that I just now installed. In all fairness, Sage is very good and solves most all of the integrals, but axiom can solve some cases where sage cannot. For this reason, I feel it would be nice to have a more directly integrated axiom to solve these problems and integrated what sage cannot do normally.
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