Integrity
late Middle English (in integrity (sense 2)): from French intégrité or Latin integritas, from integer ‘intact’ (see integer). Compare with entirety, integral, and integrate.
wiktionary
Borrowed from Middle French intégrité, from Latin integritās(“soundness, integrity”), from integer. Doublet of entirety.
etymonline
integrity (n.)
c. 1400, integrite, "innocence, blamelessness; chastity, purity," from Old French integrité and directly from Latin integritatem (nominative integritas) "soundness, wholeness, completeness," figuratively "purity, correctness, blamelessness," from integer "whole" (see integer).
The sense of "wholeness, perfect condition" is attested from mid-15c.; that of "soundness of moral principle and character; entire uprightness or fidelity, especially in regard to truth and fair dealing" is by 1540s.