Casio fx-991EX vs Hp 50g speed difference
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07-25-2018, 06:32 PM
Post: #13
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RE: Casio fx-991EX vs Hp 50g speed difference
Just learned there is a trick to use Romberg's method for periodic function:
Casio keisan on-line Romberg Integration calculator, option non-linear substitution Code: def nonlinear(f, a, b): Just integrate above transformed f, from -1 to 1: \(\int_0^{200}sin(x) dx \) = \(\int_{-1}^{1}150(1-u^2) sin[50u (3 - u^2) + 100] du \) On my Casio FX-115MS, it had gotten the sin(x) integral wrong: -96.581 With transformed integral, after 3 minutes 45 seconds, I got 0.51281 :-) Amazingly, Mathematica can solve the messy transformed integral symbolically: 2 (sin(100))^2 |
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