Can you give me one example of Business Intelligence?
Business Intelligence is often a completely separate sect from Database Administration and Database Development.  Business Intelligence, at the highest level, includes three main facets:


Reporting
Integration
Analysis


Reporting

Reporting is the creation, deployment, and management of reports as well as the added ability for users to customize reporting dynamically.

Integration

Data integration and transformation solutions.  On the very simplest level, it is the means of extracting, transforming, and loading data into a data source, from a data source (which could be anything as simple as a flat file).  Integration is a mile deep, but that's the most basic functionality of it.

Analysis

Online Analytical Processing (OLAP) used to design, create and manage structures that contain data aggregrated from source data stores.  A catch phrase for this is data mining.

These are extremely simplified descriptions of what Business Intelligence encorporates.  There is a science behind BI, as well as each of these facets individually.  Database Professionals dedicate their time and careers to mastering these.