integral vs integrality

integral and integrality both are nouns.

Word	Noun	Adjective	Verb	Adverb
integral	Yes	Yes	No	No
integrality	Yes	No	No	No

integral (noun)	integrality (noun)
the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)	the state of being total and complete

integral (adjective)	integrality (adjective)
of or denoted by an integer
existing as an essential constituent or characteristic
constituting the undiminished entirety; lacking nothing essential especially not damaged