An integration is the process of joining two technology solutions together through an Application Programming Interface (API).
Merriam-Webster Online Dictionary
integration (noun)1.
the act or process or an instance of as - integrating
a) incorporation as equals into society or an organization of individuals of different groups (as races)
b) coordination of mental processes into a normal effective personality or with the individual's environment
2.
a) the operation of finding a function whose differential is known
b) the operation of solving a differential equation
Integration, Consolidation, Amalgamation, Fusion, Combination