integral vs inherent

integral is a noun but inherent is not a noun.

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

As adjectives, integral and inherent are synonyms defined as:

integral and inherent: existing as an essential constituent or characteristic

Other synonyms of integral include built-in, constitutional, inbuilt.

integral (noun)	inherent (noun)
the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)

integral (adjective)	inherent (adjective)
of or denoted by an integer	in the nature of something though not readily apparent
existing as an essential constituent or characteristic	existing as an essential constituent or characteristic
constituting the undiminished entirety; lacking nothing essential especially not damaged