(35S) Quick integration

[J-F Garnier]

(11-12-2022 03:56 PM)Roberto Volpi Wrote:  here a short and quick example.

f(x)=∫√(1+4X^2)dx in interval [0,1]

With the native HP35S integrator, after approx 1 minute and 37 seconds:
=1.47894285754

With this program, after 1 second:
=
stack y: 0.5
stack x: 1.48215537045

Please take into account that also the value of the native HP35S integrator is approximate.

Your comparison with the HP-35S integration full 12-digit result is not fair.
On my HP-35S using the built-in integration and the default FIX 4 display, I get 1.4789 in about 3s.
If you need even less accuracy, you can use FIX 1 or FIX 2, or better SCI 1 or SCI 2 to specify a relative target accuracy.

(11-12-2022 05:29 PM)Roberto Volpi Wrote:  Any proposal for the HP35S?

It would really be a nice challenge make a shorter and hence quicker programme.

So here is mine (enter the integration limits on the stack):
LBL I
SCI 2 ; set target accuracy
FN= F ; select function
∫FN d X ; compute the integral
FIX 4 ; restore your preferred display mode
RTN

J-F