Ext JS 3.0 RC1 released (Samples)
extjs.com
extjs.com
The MIT license is a couple steps up from public domain (and far more liberal than the GPL). Ext Core can be used under those terms. ExtJS (not the same as Ext Core) has different terms (I think it's a modified GPL and a commercial license).
You do not need a commercial license to use Ext Core in any circumstance. You can use it on a commercial site, you can distribute it in commercial (or Open Source) products, and you can make modified versions without returning changes to the maintainers. The MIT license does have some clauses about IP (like trademarks) and indemnity (i.e. they provide none).