These 1 D integration utilities are NOT dissociative
Mathcad/Mathsoft offers [Adaptive, Romberg, Infinite, Singular]
Native Smath only Simpson.
At this point, we can improve Smath 1 D integration
1. Ordinary Simpson ... ODE integrators.
Both range from ~ exact, very good [acceptable] ... glorious freak.
2. FD [Finite Differences] not recommended Infinite/Singular.
3. ʃkernel(f,a,b,n) ... ∫Adaptive(f,a,b,ε) ... ∫simplex(f,a,b,s).
4. Don't forget maple companion !
Take ... Jean.

Integration Utilities_0 NONlinear.sm (14.62 KiB) downloaded 294 time(s).
Integration Utilities_0 Infinite_Singular.sm (148.79 KiB) downloaded 288 time(s).
Integration Utilities_0 NONlinear Splines Copy.sm (121.38 KiB) downloaded 283 time(s).
Integration Utilities_0.sm (241.33 KiB) downloaded 293 time(s).