Integration: meaning, definitions and examples

🔗

Add to dictionary

integration

[ˌɪntɪˈɡreɪʃ(ə)n ]

Definitions

^{Context #1 | Noun}

mathematics

The process of finding the integral of a function, often used to calculate areas, volumes, and other quantities in mathematics.

Synonyms

calculus, integral, mathematics.

Which Synonym Should You Choose?

Word	Description / Examples
integration	Specifically used in the context of mathematics to denote the process of finding the integral of a function. Integration of complex functions can be challenging but rewarding. Mastering integration techniques is vital for advanced mathematics.
calculus	Refers specifically to the branch of mathematics that deals with rates of change and the accumulation of quantities. Calculus is essential for understanding complex scientific phenomena. He struggled with calculus in college but eventually mastered it.
mathematics	General term for the abstract science of number, quantity, and space, which can include topics like calculus, algebra, and geometry. Mathematics is the foundation of many scientific disciplines. She has a profound interest in mathematics and its applications.
integral	Used in mathematics to describe the function dealing with the area under a curve, or in general language to mean something essential and necessary. Can also denote a component of calculus. Finding the integral of this function will help in determining the area under the curve. Trust is an integral part of any relationship.

Examples of usage

Integration is a fundamental concept in calculus.
The integration of a function f(x) over an interval [a, b] can be denoted as ∫f(x)dx from a to b.

^{Context #2 | Noun}

business

The process of combining different elements or systems to work together effectively.

Synonyms

combination, incorporation, merger.

Which Synonym Should You Choose?

Word	Description / Examples
integration	Use 'integration' when you are talking about combining parts into a unified whole, often used in technology or social contexts to describe seamless inclusion. The integration of new software will improve the system's performance Social integration is essential for creating a cohesive community
combination	Use 'combination' when referring to two or more things being put together or mixed, often without implying a complete unity, common in everyday language. This recipe is a perfect combination of flavors The combination of both strategies resulted in success
incorporation	Use 'incorporation' when discussing the formal inclusion of one entity into another, often used in business or legal contexts. The incorporation of a new subsidiary will expand our market reach The incorporation process was completed last month
merger	Use 'merger' specifically in business or organizational contexts when two companies or entities combine to form a single entity. The merger between the two companies created a market leader After the merger, the workforce will be restructured

Examples of usage

The successful integration of the new software with the existing infrastructure was crucial for the company.
Effective integration of marketing strategies across various platforms is essential for reaching a wider audience.

^{Context #3 | Noun}

social sciences

The process of bringing together people from different backgrounds to create a cohesive and inclusive environment.

Synonyms

assimilation, harmony, inclusion.

Which Synonym Should You Choose?

Word	Description / Examples
integration	This is used when combining different elements, groups, or systems into a unified whole. It often appears in discussions about technology, society, and organizations. The integration of new software with the existing system improved productivity The city focuses on the integration of various cultural communities
inclusion	Inclusion is about ensuring people, especially those who might otherwise be excluded, feel welcomed and part of a group or society. It is often used in the context of social justice, education, and workplace diversity. The company's policies focus on the inclusion of all employees, regardless of background The school promotes the inclusion of students with special needs
assimilation	Assimilation is commonly used in the context of blending in or absorbing into a dominant culture or society. It can have a negative connotation, suggesting a loss of identity or uniqueness. The immigrants faced pressure to undergo cultural assimilation The assimilation of new employees into the company's culture was challenging
harmony	Harmony refers to a state of peaceful coexistence and agreement among different elements, people, or groups. It is often used in contexts related to relationships, music, and nature. The family's harmony was evident during the holiday celebration The song's harmony was soothing to the ears

Examples of usage

Diversity and inclusion initiatives aim to promote integration in the workplace.
Social integration programs help newcomers adapt to a new culture and society.

Interesting Facts

Historical Origins

The word comes from the Latin 'integrare', meaning 'to make whole' or 'to renew'.
Integration was a crucial concept during the Civil Rights Movement in the United States, where different races worked towards unity and equality.
In the 20th century, the term became widely used in mathematics and engineering, particularly in discussions about unifying complex systems.

Technology

In software development, integration often refers to combining different programs or systems to work together smoothly.
APIs (Application Programming Interfaces) are designed to enable integration between various software applications, allowing them to share data and functionality.
Cloud computing has accelerated the integration of technologies, making it easier for businesses to connect systems and data remotely.

Education

In educational contexts, integration refers to combining various subjects or disciplines to create a more holistic approach to learning.
Multicultural education emphasizes the integration of diverse cultural perspectives and experiences into the curriculum.
Cooperative learning is an instructional strategy where students work together, promoting integration among peers from different backgrounds.

Psychology

Psychological integration involves harmonizing different aspects of a person's personality to achieve personal growth.
Therapeutic practices often focus on integrating traumatic experiences to help individuals heal and move forward.
Mindfulness and meditation are techniques that encourage emotional integration, helping people connect their thoughts and feelings.

Social Sciences

Integration theories in sociology examine how different groups, such as immigrants and natives, blend within society.
Economic integration is the process in which countries reduce barriers to trade and movement, promoting collaboration and growth.
Urban integration focuses on creating inclusive cities where people from diverse backgrounds can live and work together.

Translations

Translations of the word "integration" in other languages:

🇵🇹 integração

🇮🇳 एकीकरण

🇩🇪 Integration

🇮🇩 integrasi

🇺🇦 інтеграція

🇵🇱 integracja

🇯🇵 統合 (とうごう)

🇫🇷 intégration

🇪🇸 integración

🇹🇷 entegrasyon

🇰🇷 통합 (통합)

🇸🇦 تكامل

🇨🇿 integrace

🇸🇰 integrácia

🇨🇳 整合 (zhěnghé)

🇸🇮 integracija

🇮🇸 samþætting

🇰🇿 интеграция

🇬🇪 ინტეგრაცია

🇦🇿 inteqrasiya

🇲🇽 integración

Word Frequency Rank

At position #2,863, this word belongs to solid intermediate vocabulary. It's frequently used in both casual and formal contexts and is worth learning for better fluency.

...
2860 pound
2861 gathered
2862 tension
2863 integration
2864 mistake
2865 furnish
2866 disposal
...