from Wiktionary, Creative Commons Attribution/Share-Alike License
- adj. Not integrable
non- + integrable (Wiktionary)
The function tan (x) has a nonintegrable singularity at 3/2Pi ~~ 4.712 inside the integration interval.
In Lebesgue integration theory, I believe that it is considered to be nonintegrable if the integral is infinite; I've never liked that.