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integral (adj) being an essential part of something.
A thing forming an essential part of something is integral to it. Physical training is integral to the development of the personality of a person. That is, without the sound growth of the body, along with that of the mind, a personís growth is incomplete. The central processing unit is integral to a computer. That is, the computer cannot function without the central processing unit.
- Music and karate are an integral part of the curriculum of the school. No student is given the grade unless they learn these two.
- The captain deserves to be one. His performance is integral to the success of the team. He is its winning factor.