Application integration refers to the process of combining different software applications and systems to work together seamlessly. This enables the sharing of data, functionality and enables the automation of business processes between the integrated applications. The goal of application integration is to provide a unified and consistent user experience and to improve the efficiency and effectiveness of business operations. 

Process integration refers to the combination and coordination of different processes within an organization or system to improve efficiency, productivity, and overall performance. It involves analyzing, designing, and optimizing processes to eliminate waste, reduce redundancies, and ensure smooth flow of activities. The goal of process integration is to achieve seamless collaboration and seamless communication between processes to deliver value to customers and stakeholders. 

Integration acceleration refers to the process of speeding up the integration of different systems, processes, or components within an organization. The goal of integration acceleration is to quickly and efficiently bring new systems, processes, or components online, so that the organization can realize the benefits of integration as soon as possible. This can be achieved through various means such as automation, streamlining, standardization, and the use of technology. Integration acceleration can lead to faster time-to-market, improved customer experience, and reduced costs and risks associated with integration projects.