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But 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 a ancient software lineage. Both systems are free and open-source.
Fricas home page: http://fricas.github.io
Some independent integration benchmarks, comparing multiple computer algebra systems: https://www.12000.org/my_notes/CAS_integration_tests/index.h...
Compile ITS and just run :macsyma at the DDT prompt (shell/debugger) from ITS:
https://github.com/pdp-10/its
The syntax it's the same, I even made a plot and 'printed' into the host from an ARDS output from the plot command, by converting the file into PPM->PNG or PPM->PDF.
There is a go implementation of a CAS which syntax similar to Mathematica which uses this rules based integration library.
https://github.com/corywalker/expreduce