Integraciju

Integraciju is the oblique case form of the noun integracija in several South Slavic languages, used to refer to the act or result of integration. In English the corresponding term is integration. The term spans disciplines and contexts, from mathematics to social policy and technology.

In mathematics, integration is a fundamental operation that assigns a number to a function, representing accumulation or area under a curve. Indefinite integrals express antiderivatives; definite integrals compute quantities over an interval. Key concepts include the Riemann and Lebesgue integrals and the fundamental theorem of calculus.

In social contexts, integration refers to the process of incorporating individuals or groups into a wider society, economy, or institution. Policies aim to reduce barriers, promote equal access to services, language acquisition, education, and civic participation. Challenges include discrimination, segregation, and uneven distribution of opportunities.

In technology and business, system and data integration describes aligning disparate components to work together. This includes software integration, API interoperability, middleware, and enterprise architectures. Data integration combines information from multiple sources, often through ETL processes or data fusion, to support analytics and decision-making.

Etymology: integracija comes from Latin integratio, meaning making whole. The form integraciju is used in grammar to denote the object or oblique cases. Usage varies by language but the core concept remains the same: creating unity from parts.