Shortly after Google acquired Feedburner, premium services have become free and now there is one-click integration of Feedburner into Blogger. Blogger is Google’s free blog account set-up service. Blogger blogs are called blogspots.
First thing that you have to do is create a Feedburner account (if you do not already have one) and retrieve a Feedburner RSS address. Once that is done, you plug it into your blogspot Settings | Site Feed information. This process has become a lot simpler from before.
Before, Blogger users had to autodiscovery tags within Blogger template codes or pretty much use some hacking skills. The integration of Feedburner into Blogger is an excellent example of how Google acts quickly with their acquisitions (with the exception of Dodgeball).
Note: Also after Google acquired Feedburner, premium services became free. Feedburner’s premium services used to cost roughly $5 per month.
 Burning Questions: The official Feedburner weblog: FeedBurner Integration for Blogspot Blogs