Integrity is not a conditional word. It doesn't blow in the wind or change with the weather. It is your inner image of yourself, and if you look in there and see a man who won't cheat, then you know he never will.
My own experience is that the Bible is dull when I am dull. When I am really alive, and set in upon the text with a tidal pressure of living affinities, it opens, it multiplies discoveries, and reveals depths even faster than I can note them. The worldly spirit shuts the Bible; the Spirit of God makes it a fire, flaming out all meanings and glorious truths.