Saving Search results in Sharepoint 2010

Steve Curren’s answer in MSDN forums:

“The searches are logged. You can view search reports under Site Settings–> Site Actions–> Site Collection Web Analytics Reports. Here you can see such things as “Top Queries”.  There are a lot of links about SEO optimization and SharePoint. You can start here.

SharePoint Custom Search Results Page
Sharepoint Search Autocomplete Textbox