integriranja

Integriranja, or integriranje, is a term used in several South Slavic languages to denote the process of bringing parts into a whole. It is common in Croatian, Serbian, Bosnian and Slovenian, among others. The word derives from Latin integratio and integer, via French and other Romance sources, and is closely related to the English word integration.

In mathematics, integriranje refers to the process of finding an integral. Indefinite integrals and definite integrals are distinguished, and techniques of integration include substitution, integration by parts, partial fractions, and trigonometric substitution. The concept is linked to the fundamental theorem of calculus, which connects integration with differentiation. Applications include computing areas and volumes, cumulative quantities in physics and probability distributions. Numerical integration approximates integrals when an antiderivative is not available, using methods such as the trapezoidal rule, Simpson's rule and Gaussian quadrature, often implemented via algorithms and software.

In sociology and related fields, integriranje means social integration—the process of bringing people from different social, ethnic or cultural groups into a cohesive society. This encompasses education, housing, labor market access, language policy, and anti-discrimination measures, with outcomes assessed by indicators like segregation levels, employment, social trust, and participation in institutions.

In information technology and business, integriranje denotes data integration and system integration. This includes combining data from multiple sources, aligning processes across applications, and connecting APIs with middleware and ETL or ELT pipelines. The goal is a unified view and smoother operation, while challenges include data quality, governance, interoperability, and security.