Unit testing or integration testing?

Here it says that this example is more of an explanation of framework than best practice because of the conflation of integration/unit testing concepts: http://docs.flexunit.org/index.php?title=Using_Asynchronous_Startup
My question is, how do you define a line here between unit testing and integration testing? What kind of UI components asynchronous tests are then considered to be unit tests and not yet integration tests? Many books recommend having 100% code coverage with unit tests. How would this example look like, to be considered only a unit test and not integration test?