Integration: meaning, definitions and examples

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.

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.

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.

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.

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

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

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

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

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 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 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 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