These are the "one-stop shopping" sources of the database world. The first two focus more on humanities and social sciences, and in the last two you can find articles ranging from business to science to the arts.
To locate the full text of an article in a database, use the purple button: 
UW Restricted resources are marked with a lock icon
. If you are off-campus, you'll be prompted to log in first with your UWNetID to access these resources.
If you encounter problems accessing a UW Restricted resource from off-campus, try using the proxy bookmarklet to log in.