How can integrity be applied in the work place?

Do you mean moral integrity?

Depends on where you work, really. Of course being friendly and upright and honest in your contacts with co-workers and superiors and fulfilling the terms of your work contract as well as you are able to is applicable in any work place.

But some people can do more, depending on their position. If you are in no position to decide that, you can still make proposals. You might find ways to help financially weak co-workers with organizing things that help them. Like, for example if many of them use public transports, you’ll find that some public transports companies will give better prizes if your company buys 100 annual tickets and sells them to their staff. You could encourage your company to advertise by sponsoring charity organizations. You could encourage your company to hire and teach trainees.

If you witness anything that is going wrong in your workplace - whether it’s people bullying a co worker, whether it is people making immoral bargains for the company or people making immoral bargains on expense of the company - you should inform people who will help you evaluate the situation (your boss, your bosses boss, anyone) and see that measures are taken to stop immoral behavior.