Integrity is derived from "integer" (a whole number as opposed to a fraction) and speaks of the quality of being undivided. O, to be men and women of integrity, lights shining in the midst of the darkness in such a way that the world might see our undivided hearts and this would bring glory to our Father Who is in heaven. (Mt 5:16-note, cf Php 2:15-note).
A great prayer to pray (daily) would be David's words...
F B Meyer
Our Daily Homily