This Smath document is worth 2 pieces of gold:
1. a much higher Smath numerical integration.
2. numerical integration of splines [ainterp]
cinterp => not tested. As it looks, it would
be easy to rebuild the Smath integrator.

Jean

Integrate Romberg.sm (52,6 KiB) scaricato 1507 volta(e).

... [suite] for your tool box.
Includes the scalar plot of 'cinterp'.

Jean



Integrate Romberg Int[f,a,b].sm (26,37 KiB) scaricato 1337 volta(e).

... the great Smath "Integrate Companion" for your toool box
1. almost 12 decimals garanted
2. integrate the "splines" directly
3. added the "incremental splines derivative [order 1].

Done in Smath 5346 OFFicial release, must be checked latest release.

Jean

Integrate Companion [Technical Accuracy].sm (48,89 KiB) scaricato 1431 volta(e).

...my collaboration about "Integration" seems to end here.
There is surely a way to universalise the "Maple Procedure".
Hopefully, this Smath document answers all past & future questions.
Maple Procedure will not solve all cases, for instance: if Maple
returns a function that Smath does not have [Polylog, Bessel ...]
the Procedue will fails.

Jean



Integrate Companion [Technical Accuracy].sm (99,97 KiB) scaricato 1308 volta(e).