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Though I am not a TI-Nspire programmer, I am of the opinion that it would be a bit hard to get the built-in CAS to "show how it's done". This is because the calculator does not use any algorithm remotely similar to how humans "do" integrals.
On the other hand, trying to write a program that does how humans would do things would in all probability be too big to fit into the calculator anyway.
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