Casio fx-991EX vs Hp 50g speed difference

[Albert Chan]

(07-25-2018 01:50 AM)Albert Chan Wrote:  Try this: \(\int_0^{200}sin(x) dx \) = 1 - cos(200) ~ 0.51281

If 50g returned -96.581, that means:
1. No symbolic processing used for integration
2. Integration by Simpson rule, thus poor performance (and wrong!)

My mistake, Simpson Rule + Romberg's Extrapolation led to a wrong answer

Code:

Intervals Simpson Rule     Romberg Extrapolation
2         -96.6253287218
4         -96.5838952128   -96.5811329788
8         -96.5813742133   -96.5812072753
16        -96.5812176925   -96.5812072753
32        -96.5812079261   -96.5812072753

Simpson Rule alone will eventually converge: 0.51281 (2048 intervals), 0.5128123250 (32768 intervals)