I was mostly hurt by Sage/Maxima correctness when dealing with iterated integrals, that I wanted to compute step by step. After trying all kinds of assumptions derived from integral limits and assuming all rooted expressions positive, I use as a last resort FTC no matter what is the domain. For example, if you use http://interact.math.ualberta.ca/MATH215/Three_iterated_integrals.html and change the internal integral to -1..3 for 1/z integrand and check "Try to compute" on the bottom, it will work. If will show a red equality sign with a question mart to indicate that something may be wrong, but for teaching calculus I found it to be better than worrying about analytic functions and branch cuts. I believe that with these adjustments there were no examples that my applet couldn't do and WA could. Yet I certainly don't propose to have default integrate functions in Sage behave like this.
Perhaps something like "real_teaching_mode()" similar to "automatic_names()" would be handy, but implementing it may not be worth the effort... Thank you, Andrey -- You received this message because you are subscribed to the Google Groups "sage-edu" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-edu. For more options, visit https://groups.google.com/d/optout.
