CAS Simplify: HP Prime vs. TI Nspire

[Aries]

(08-14-2018 12:18 AM)roadrunner Wrote:  

(08-13-2018 09:36 PM)Gene Wrote:  Any examples that could be posted there where the nSpire CAS fails and the PRIME works fine?

Here's two:



mentioned by Mr. Parisse in this thread:

http://www.hpmuseum.org/forum/thread-10801.html

-road

The first integral can be solved by ibp (u=sin(x)^2*cos(x)^2):



As for int((2*x^2+1)*e^(x^2)), basically Nspire CAS has no error function (erf(x), erf(z)), though this could be implemented by M. Beaudin libraries (ETS kit):
https://seg-apps.etsmtl.ca/nspire/ (see librairies)
So the TI Nspire stops to applying linearity.
int(e^(x^2)) can be "developed" by ibp (u=e^(x^2) and v'=1), achieving the correct result.
Anyway I dont think these are examples of a "simplification" process.
Best,

Aries