integrieren

Integrieren is a German verb meaning to make something part of a whole, to incorporate or to bring elements into harmony. It is used in everyday language as well as in technical and academic contexts to describe the act of combining parts into a unified system or concept.

The term derives from Latin roots associated with making whole, and is related to words like Integral and Integrity in German and other languages. The related noun Integration denotes the process or result of becoming part of a larger system, as well as the broader concept of social or organizational inclusion.

In mathematics, integrieren refers to the operation of finding an integral. This includes indefinite integrals (antiderivatives) and definite integrals, which quantify quantities such as area, accumulation, or probability. The process is central to calculus and is accompanied by rules and techniques for finding antiderivatives and evaluating integrals.

In computing and information technology, integrieren often means system or data integration: combining diverse software components, databases, or services into a coherent whole. This can involve API connections, middleware, and integration testing to ensure that different parts work together reliably.

In social and organizational contexts, integrieren describes efforts to incorporate individuals or groups into a larger community or institution, such as the integration of newcomers into society, schools, or workplaces. The term emphasizes inclusion, compatibility, and the functioning of a unified system.