integral

• 指事物作为整体的一部分所必需且重要的；也可指完整的、构成整体所必需的。

Describes something that is necessary and important as a part of a whole.

1. Essential or necessaryB2formal

   Being an essential part of something; necessary for completeness.

   不可或缺的

   • Teamwork is integral to the success of this project.
   • Trust is an integral part of any healthy relationship.
   • The new software is integral to our daily operations.

   同义词basicessentialfundamentalindispensableinherentintrinsickeynecessaryrequisitevital

   反义词dispensableextraneousinessentialnonessentialoptionalperipheralsuperfluousunnecessary

2. Whole or completeC1formal

   Forming a whole; not divided or lacking any part.

   整体的

   • The design is integral, with no separate components.
   • The system functions as an integral unit.
   • The report provides an integral view of the situation.

   同义词completeentirefulltotalundividedwhole

   反义词fragmentaryincompletepartial

• 数学概念，表示曲线下的面积，即积分；也泛指整体中必不可少的基本组成部分。

A noun referring to a mathematical concept representing the area under a curve, or more generally, a fundamental and necessary part of a whole.

1. Mathematical conceptC1formal

   A mathematical quantity representing the area under a curve or the accumulation of a quantity, used in calculus.

   积分

   • The integral of x squared is one-third x cubed.
   • We need to calculate the definite integral of this function.
   • Integrals are fundamental to understanding calculus.

   同义词primitive