Chris Brady is a good story teller and one of his stories was about the difference between integrity and character. He said something like this:
"I want you to go back in time to your school years. You walk to school and you see a girl being bullied. Integrity is doing the right thing of not joining in on the bullying. Character is integrity in action which mean you not only not join in the bullying; you also attempt to stop it."
In other words, character is integrity in action. Now go out there and fix what's wrong with this world!