You may see more invented integrators, not to avail.
In short, this classroom is competitive to any other CAS.
You may retain 3 of them:

1. Finite Differences for noisy well populated data sets.
DO NOT smooth before applying FD. By "noisy" we mean as collected
rather than Quiz Noise having no project meaning.
2. Simplex is hyperfast, somewhat delicate to manage.
You can safely work on low range 's' [7 .. 11 typical]
3. ∫Adaptive(f,a,b,iter,TOL) universal Grand Champion
Thanks again Carlos for this competitor to all advanced CAS.

Enjoy, use wisely ... Jean

Integrate Compendium_24 Simplex-Adaptive Reconciliate Copy.sm (276 KiB) downloaded 163 time(s).

... please, recycle the previous version refreshed by this one.
Two more documents belong to this tool box.
Finally, here is the Mathcad/Mathsoft Adaptive.
At this point: the Smath integrator is obsolete, cumbersome
prone to dramatic errors. It should be evaporated from SS .

Jean

Integrate Compendium_24 MCDadaptive Read EDU.sm (51 KiB) downloaded 125 time(s).
Integrate Compendium_24 Simplex-Adaptive Reconciliate Copy.sm (278 KiB) downloaded 118 time(s).
Integrate Compendium_24 Bisection-Adaptive Read EDU.sm (97 KiB) downloaded 131 time(s).

... you can have it Omer Simpson



Integrate Compendium_24 MCDadaptive Read EDU.sm (63 KiB) downloaded 123 time(s).