Maxima ist absolutely great. It can be somewhat confusing, but it is actually quite advanced.
Calculating integrals is extremely hard (unlike calculating derivatives, which is very easy to do) and maxima comes with some of the more advanced and comprehensive strategies to solve integrals.
It's integration functionalities are less advanced and comprehensive than those of Fricas. Interestingly, the latter is, like Maxima, implemented using Lisp and stems from an ancient software lineage. Both systems are free and open-source.
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Maxima ist absolutely great. It can be somewhat confusing, but it is actually quite advanced.
Calculating integrals is extremely hard (unlike calculating derivatives, which is very easy to do) and maxima comes with some of the more advanced and comprehensive strategies to solve integrals.
It's integration functionalities are less advanced and comprehensive than those of Fricas. Interestingly, the latter is, like Maxima, implemented using Lisp and stems from an ancient software lineage. Both systems are free and open-source.
Fricas home page: http://fricas.github.io
Fricas Archlinux package page: https://archlinux.org/packages/extra/x86_64/fricas/
Some independent integration benchmarks, comparing multiple computer algebra systems: https://www.12000.org/my_notes/CAS_integration_tests/index.h...
Both Fricas and Maxima use Common Lisp, most people will just use SBCL for both.
But, the magic of Lisp is that you might call Common Lisp functions from one suite into another and viceversa without too much trouble.
Fascinating, thank you!