integral
part of speech
adjective (integral); noun (an integral, integrals)
meaning for a pupil
1) Integral means necessary and important as a part of a whole: you cannot have the whole without it. tree →
2) Integral also means built in, made as one piece with something. tree →
3) (maths, advanced) An integral is a calculation in calculus that finds things like the area under a curve. tree →
sense in the lessons
In everyday life «an integral part of the team» means a key member. In design, an integral handle is part of the object, not stuck on. In secondary-school and university maths, integrals are part of calculus, invented by Newton and Leibniz. In younger maths, «integer» (a whole number) is a different but related word.
examples
- Practice is an integral part of learning music. tree →
- She is an integral member of the choir. tree →
- The bike has an integral lock. tree →
- Water is integral to life. tree →
- In calculus, an integral finds the area under a curve. tree →
- Kindness is integral to our school values. tree →
note
Say «IN-tuh-grul» (also «in-TEG-rul»). Do not confuse with «integer» (a whole number) or «integrity» (honesty). The calculus sense is advanced maths.
Trees and pragmatics
Every meaning and example of «integral» parsed by Mova, each sentence with its dependency tree and frames.