c. 1600, "renew with regard to any state or quality," from re- "back," here "to a former condition," + integrate (v.). The sense of "make whole again, bring back to an integral condition" is from 1620s. The classically correct form is redintegrate (early 15c.). Earlier in a now-obsolete sense of "reinstate oneself" (1580s). Related: Reintegrated; reintegrating; reintegration.
"a renewing or making whole again, restoration, re-establishment," c. 1600, from French réintegration (15c.) or directly from Medieval Latin reintegrationem; see reintegrate. The classically correct form is redintegration (see redintegrate (v.)).
Others are reading
<a href="https://www.etymonline.com/word/redintegrate">Etymology of redintegrate by etymonline</a>
Harper, D. (n.d.). Etymology of redintegrate. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/redintegrate