Cheating husband

If your man cheated... was very remorseful. Cried, apologized, and wanted to commit his life to your marriage, what would you do? 

I am in this situation. I always told myself I would leave. But now this is happening to me I am not sure what to do. When it actually happens it's more than just as simple as taking your stuff and living with mom and dad. You have invested so much time and effort into a marriage, into your family that it is a roller coaster of emotions. When I said my vowed I committed to making this work for better or for worse. Well here is the worse. I feel like I need to at least try. 

What would you do?