Some integrals with problematic evaluation

[parisse]

The 50 is much less rigorous than giac, if the sign of an expression had to be computed inside such kind of integration, I think that the variable was assumed to be near 0. This is normal considering the relative speed of the 49 and a desktop of today. The Prime CAS is a port of giac, it's not a CAS specifically designed to run on a calc. It has some limitations, speed of course (relative to the desktop) but also the OS. You can do a lot more on the Prime than on the 50, but for complex computations, you must help the system (assume) or go on the desktop.
About testing on the real Prime, I generally don't do that, it's much easier to copy/paste on the emulator. And if it takes half a minute on the emulator, then I know it's not very useful to test on the Prime since long computations are likely to have a much more defavorable speed ratio because memory would probably be almost exhausted on the Prime.