integral Sentence Examples

1. The definite integral represents the area under the curve of a function over a given interval.
2. The indefinite integral of a function gives a family of antiderivatives.
3. In calculus, the integral of a function is related to the area under the curve or the net change in a quantity.
4. The integral sign, an elongated S, symbolizes the process of summation over an interval.
5. The fundamental theorem of calculus connects the integral and the derivative of a function.
6. Integration is the inverse operation of differentiation, and it allows us to find the original function from its derivative.
7. Numerical integration methods, such as the trapezoidal rule, approximate the value of an integral by dividing the area into smaller parts.
8. The integral of a constant function over an interval equals the product of the constant and the length of the interval.
9. Integrals play a crucial role in areas such as physics, engineering, and economics to model real-world phenomena.
10. The integral of a function with respect to another function is called a line integral and is used to calculate work or circulation.

integral Meaning

Wordnet

integral (n)

the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)

Wordnet

integral (s)

existing as an essential constituent or characteristic

constituting the undiminished entirety; lacking nothing essential especially not damaged

Wordnet

integral (a)

of or denoted by an integer

Webster

integral (a.)

Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.

Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.

Of, pertaining to, or being, a whole number or undivided quantity; not fractional.

Pertaining to, or proceeding by, integration; as, the integral calculus.

Webster

integral (n.)

A whole; an entire thing; a whole number; an individual.

An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.

Synonyms & Antonyms of integral

Strongest

Synonyms:

• inherent
• essential
• intrinsic

Antonyms:

• foreign
• incidental
• surface
• alien
• incidental
• adventitious
• extrinsic
• surface
• foreign
• adventitious
• extraneous
• extrinsic
• extraneous
• alien

Strong

Synonyms:

• constitutional
• ingrained
• built-in
• characteristic
• immanent
• fundamental
• distinctive
• inherited
• indigenous
• constitutive
• inbred
• hereditary
• natural
• inborn
• native
• hardwired
• inner
• innate
• basic
• engrained
• elemental

Antonyms:

• external
• exterior
• external
• acquired
• coincidental
• superficial
• acquired
• coincidental
• accidental
• exterior
• accidental
• superficial

Weak

Synonyms:

• normal
• internal
• ingrain
• interior
• in-one-s-blood
• deep-rooted
• congenital
• habitual
• inmost
• regular
• peculiar
• typical

Antonyms:

• adscititious
• adscititious

FAQs About the word integral

What is the meaning of the word integral

the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x), existing as an essential constituent or characteristic, constituting the

What are the synonyms of the word integral

inherent, essential,intrinsic, constitutional, ingrained, built-in, characteristic, immanent, fundamental, distinctive

What are the antonyms of the word integral

foreign, incidental, surface, alien, incidental, adventitious,extrinsic, surface, foreign, adventitious

What is the usage of word integral

The definite integral represents the area under the curve of a function over a given interval.

The indefinite integral of a function gives a family of antiderivatives.

How to use the word integral in a sentence?

In calculus, the integral of a function is related to the area under the curve or the net change in a quantity.

The integral sign, an elongated S, symbolizes the process of summation over an interval.