Casio fx-991EX vs Hp 50g speed difference

[Carsen]

(07-25-2018 10:13 PM)Albert Chan Wrote:  For transformed integral, it only take half the time ?

No. It took 0.51 seconds to solve the SIN(X) integral symbolically (This time is found in post #11 in this thread. I apologize for not defining what integral I evaluated in that post). On the other hand, it took 1.7 seconds to solve the transformed SIN(X) integral symbolically (This time is found in post #14 in this thread). Both of them returned the same answer of -(COS(200)-1).

(07-25-2018 10:13 PM)Albert Chan Wrote:  And, compare against 1 - cos(200), more accurate ?

I would say that 1-COS(200) has the same accuracy as -(COS(200)-1). They both are the same.

(07-25-2018 10:13 PM)Albert Chan Wrote:  Is it tested on the same calculator ?

Yes. All is tested on the same HP 50g.

(07-25-2018 10:13 PM)Albert Chan Wrote:  What if it were applied not just to periodic function, but others ?
Say, this thread original post ?

\(\int_0^{500}e^{-x}dx \) = \(\int_{-1}^{1}375(1-u^2) e^{-(125u (3 - u^2) + 250)} du \)

Same as the first integral of SIN(X). Symbolically, the 50g solves the integral e^-x in .76 seconds, while it solves its transformed counterpart in 2.84 seconds. Again, both get the same answer of (e^500-1)/e^500. Here are some pictures of my results.