'Integrity' in the Bible

Said he not himself unto me, She is my sister? And she, even she herself said, He is my brother. In the integrity of my heart and the innocency of my hands have I done this.

And God said unto him in the dream, Yea, I know that in the integrity of thy heart thou has done this, and I also withheld thee from sinning against me. Therefore suffered I thee not to touch her.