Integration Types

• Application Integration: Connecting different applications and systems in order to automate business processes.
• Business to Business Integration (B2Bi): Connecting to other online enterprises in order to run processes more efficiently.
• Data Integration: Consolidating databases from different teams, or divisions, into one master database or master list.
• Event Integration: Integrating high-throughput data streams with information and other events. 
• Cloud Integration: Integrating between on-premises and in cloud applications or databases. 

A better solution is Enterprise Application Integration (EAI) using Service-Orientated Architecture (SOA).

For more information click on the below link
http://searchdatamanagement.techtarget.com/feature/Top-eight-data-and-application-integration-definitions-and-buzzwords