integrate vs work out

integrate and work out both are verbs.

Word	Noun	Adjective	Verb	Adverb
integrate	No	No	Yes	No
work out	No	No	Yes	No

As verbs, work out is a hypernym of integrate; that is, work out is a word with a broader meaning than integrate:

Other hypernyms of integrate include calculate, cipher, compute, cypher, figure, reckon.

integrate (verb)	work out (verb)
make into a whole or make part of a whole	do physical exercise
become one; become integrated	give a workout to
calculate the integral of; calculate by integration	come up with
open (a place) to members of all races and ethnic groups	work out in detail
	find the solution to (a problem or question) or understand the meaning of
	make a mathematical calculation or computation
	be calculated
	happen in a certain way, leading to, producing, or resulting in a certain outcome, often well