To walk in integrity means to live according to your beliefs and values. It means being honest and having strong moral principles. People who are of integrity are usually trusted by others because they are seen as dependable and trustworthy. "Finally, brethren, whatsoever things are true, whatsoever things are honest, whatsoever things are just, whatsoever things are pure, whatsoever things are lovely, whatsoever things are of good report; if there be any virtue, and if there be any praise, think on these things." - Philippians 4:8