email@example.com wrote: > > firstname.lastname@example.org schrieb: > > > > The Russian book "Integration of Functions" [...] published by A.F. > > Timofeev [...] in 1948 provides [...] 533 integration examples [...]. > > I believe the whole would make a good independent integration test > > suite because the book antedates all automated integrators and because > > the author claims to cover the field thoroughly [...]. > > Although no interest has been shown in this integration test suite, I > have entered, checked, and amended all 81 integrals from chapter 1; the > integrals are appended below. Occasional multiple evaluations illustrate > alternatives worth pointing out, and integrals collected in vectors > represent examples involving sub-cases. Suggestions how to format the > integrals for easy testing of as systems as possible are welcome.
I am not sure is special treatment of subcases is good idea, because it requires extra effort for parsing.
> > On these integrals, the performance of Derive 6.10 has been measured > with the integration variable limited to real values (the default mode > around which the system was built) - to declare the variable complex > should be considered unfair: > > ch. ex's Der. Mpl MMA etc. etc. > 6.10 ... ... > --------------------------------------- > 1 81 79 ?? ??
FYI FriCAS produces result for all integrals (after expanding cases I got 86 integrals). Note: I did not check the results, for quick testing I joined split lines, removed '[', ',' ']' and all results. I needed to replace '#e' by '%e', after that FriCAS could parse your examples and with few macros understand them.