I have theoretical reasons to doubt the correctness
of integrals involving `floor`.

The smallest testcases:

sage: integrate(floor(x)^2,x)
// Giac share root-directory:/usr/share/giac/
// Giac share root-directory:/usr/share/giac/
Added 0 synonyms
x*floor(x)^2

sage: integrate(2**floor(x),x)
2^floor(x)*x

Would someone check with another CAS or prove/disprove by hand?

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