[camel-cdr]

> it knows very little about integration

Somewhat related: I've read before that the FOSS CAS Axiom has the only kinda complete implementation of the Risch algorithm for integration. Axiom looks harder to use, but maybe it's an option.

(I don't know anything about the topic)

[AlotOfReading]

The axiom implementation isn't complete either and doesn't handle mixed algebraic transcendental functions like sqrt(atan(x)), from what I understand.

The Sympy implementation handles the purely transcendental case and does best effort on the algebraic extensions. It's a lot more ergonomic than fricas/axiom though.