integral

C1
Pronunciation
/ˈɪntɪɡɹəl/
/ˈɪntəɡɹəl/
Noun
3 definition(s)
1 Definition

A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.

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

A definite integral, a limit of sums.

3 Definition

Antiderivative

Synonyms
antiderivative indefinite integral
Antonyms
derivative
Example Sentences
  • The integral of x^2 is \frac{x^3}{3} plus a constant.
Adjective
4 definition(s)
1 Definition

Constituting a whole together with other parts or factors; not omittable or removable

Synonyms
immanent inherent necessary
2 Definition

Of, pertaining to, or being an integer.

3 Definition

Relating to integration.

4 Definition

Whole; undamaged.