I have the risch procedure implemented in my CAS up to transcendentals, and I do a bunch of target algebraic extensions.

I have the risch procedure implemented in my CAS up to transcendentals, and I do a bunch of target algebraic extensions. It has an isolated proof kernel, and it distinguishes between proven nonexistent and what it doesn't support. And with domain tracking we can apply the fundamental theorem of calculus over critical points.