mathematics vs integrate

mathematics is a noun but integrate is not a noun.

Word	Noun	Adjective	Verb	Adverb
mathematics	Yes	No	No	No
integrate	No	No	Yes	No

mathematics (noun)	integrate (noun)
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

mathematics (verb)	integrate (verb)
	make into a whole or make part of a whole
	become one; become integrated
	calculate the integral of; calculate by integration
	open (a place) to members of all races and ethnic groups