Some integrals with problematic evaluation

[quinyu]

Yeah well, I'm not trying to argue that it's a very strong calculator; it is. In some particular cases the Nspire CX CAS beats it though (recent find: integrating the following: x^n/(a^5+x^5), where n=0..3, gives a partially integrated result. I admit the Xcas [online version] doesn't give a closed form either, in that it returns "rootof" at a number of places, so if the Prime CAS is based on that, I can't expect it to solve them either. The Nspire CX CAS returns closed forms which are identical or a constant off from the expected. I am sure this will be fixed sooner rather than later, though.)

I couldn't find a changelog for xcas, so I don't know how recent this feature is. But one way or the other, it is definitely something that students will love once it's included in the Prime.

As of my simplification setting, I kept it at "minimum", being that the cases where "maximum" did any better was not worth it. Maybe I should just leave it at "none", in the end...