What is the difference between interface testing and integration testing?

Basically there is not much difference between these two terms. Integration testing mean, testing a complete project/product after integrating the individual components(of that project) into a single component(application).

Interface testing means, interfaces are normally acts as a liaison between two different components or architecture. Interface transfers data between these two components. So in order to complete a project sometimes we need to take the help of interface to connect the 2 different components. Testing of all these together when combined is called interface testing.