What's the Difference Between Data Integration and Data Engineering?

Sometimes I write a blog because I've learned something new that I'm eager to share. And sometimes I write a blog because we've just done something enlightening in one of my classes or client exercises. But sometimes I write a blog because I don't know anything about a topic, and writing a blog is the best way to force myself to learn what I don't know. The latter is the driving factor behind this blog: What's the Difference between data integration and data engineering? Why is this distinction important?