integral vs integer

integral and integer both are nouns.

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

integral (noun)	integer (noun)
the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)	any of the natural numbers (positive or negative) or zero

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