integral

What does “integral” mean?

adjective.necessary to make a whole complete; essential or fundamental.

SAT Usage

this term is often found in passages related to science, mathematics, or literature, where it conveys the idea that a component is crucial for the functioning or understanding of a larger system or concept. It emphasizes the idea of necessity and interdependence, distinguishing it from words like "important," which may not imply the same level of essentiality.

Common Confusions

Integral implies something essential for completeness, while important usually suggests a significant value that may not be crucial for the whole.

Example Sentences

• The integral of x\mapsto x^2 on [0,1] is \frac{1}{3}.

• The integral of x^2 is \frac{x^3}{3} plus a constant.

• Trust is an integral component of any successful relationship, whether personal or professional.