in Smath you have to use explicit vectorization
sergio

Thanks.

BTW： Whern I click "THANK" button. it shows "Error"

Wrote

BTW： When I click "THANK" button. it shows "Error"

Does not work from dark age.

... hyperfast.

Integration values extended to matrix and nested arrays.

@ netsonicyxf
In the mean time you cogitate more integration visit Samples
Simpson ranges from exact [I only know two functions] to absolute crap.
In cases considered adequate, it may still be a poor integrator.
... poor integrator on the long range of the integration variate X.
This case is rescued via Romberg-Simpson ... in the attachment.
Other integrations are only possible via Carlos Adaptive ∫Adaptive(f,a,b,N,ε).
These two documents are minimalist visit.
Good idea to first construct the project unit-less.
Chhers ... Jean

Integrate Compendium_20 Simpson-Romberg Adaptive.sm (139 KiB) downloaded 42 time(s).
Integral 00000000 MASTER ToolBox.sm (477 KiB) downloaded 49 time(s).

Thank you friends, you always give very detailed help.