integrate

1. (transitive) To include as a constituent part or functionality.Examples: "They were keen to integrate their new skills into the performance."; "All of Peter Schickele's music, both straight and comedic are integrated side by side in this chapter."; "Along the way, companies such as Facebook and Google employ every useful foot soldier, including social scientists such as [Alexander] Kogan who are willing to put their shoulders to the wheel as they help the company learn, perfect, and integrate the cutting-edge methods that can conquer the next frontier […]"Synonyms: assimilatetransitive

2. (usually intransitive, sometimes reflexive) To join a group or an environment harmoniously; to make oneself fit in.Examples: "The refugees integrated well into the community."; "The eco-friendly building integrates with the forest around it."intransitivereflexivesometimesusually

3. (transitive) To form into one whole; to make entire; to complete; to renew; to restore; to perfect.Examples: "Virtually free of pain, she has integrated the broken pieces of her life, is a loving and loved wife and mother, and is back at her job."Synonyms: embodytransitive

4. (mathematics, sciences, transitive) To give the sum or total of a varying quantity over an interval such as a period of time or an area.Examples: "Data gathered at each remote site include sulphur dioxide in parts per million, a five-minute integrated wind direction to the nearest degree and a five-minute integrated wind speed to the nearest one-tenth knot."transitive

5. (mathematics, sciences, transitive) To subject to the operation of integration; to find the integral of an equation.Examples: "As Example 9 indicates, we can integrate sinⁿ x if we know how to integrate sinⁿ⁻² x."transitive

6. (transitive) To desegregate, as a school or neighborhood.Examples: "President Eisenhower had to call out the National Guard to integrate Little Rock Central High School."; "That's because this place is racist, but also because most black filmmakers don't have an interest in integrating. They've accepted the premise that they must stay in their lane […]"; "I continued on the bus without him. It worked out fine. I went on to Tampa, Fla. That was the first time we integrated the buses. All the way down, sitting in the front row."Antonyms: segregatetransitive