BTW El martes, 20 de agosto de 2019, 5:44:33 (UTC+2), rjf escribió: > > It may be a mistake to combine "help for students learning symbolic > integration" > and "symbolic integration" simply because the methods taught to students > are probably different from the integration algorithms used by computer > algebra > systems. Certainly Maxima. Probably sympy too, which uses various Risch > heuristic > methods. > >> >> The standard sympy integration dos indeed use techniques that may differ a lot from what a student would use by hand. However, sympy also has a module called manualintegrate, that tries to follow the usual techniques taught to students to integrate by hand: rewrite the integrand, change of variables, integration by parts... (and only if those fail, fallback to more powerful methods). I have run it over a battery of examples taken from a first year calculus course, and the result really follows the steps that one would expect from a student in a reasonably high precentage of the cases. You can test it in https://www.sympygamma.com for example by
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