integral (Meaning)
integral (n)
the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
integral (s)
existing as an essential constituent or characteristic
constituting the undiminished entirety; lacking nothing essential especially not damaged
integral (a)
of or denoted by an integer
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.
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
Synonyms:
- inmost
- normal
- deep-rooted
- ingrain
- habitual
- regular
- congenital
- internal
- peculiar
- typical
- interior
- in one's blood
Antonyms:
integral Sentence Examples
- 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.
- 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.
- The fundamental theorem of calculus connects the integral and the derivative of a function.
- Integration is the inverse operation of differentiation, and it allows us to find the original function from its derivative.
- Numerical integration methods, such as the trapezoidal rule, approximate the value of an integral by dividing the area into smaller parts.
- The integral of a constant function over an interval equals the product of the constant and the length of the interval.
- Integrals play a crucial role in areas such as physics, engineering, and economics to model real-world phenomena.
- The integral of a function with respect to another function is called a line integral and is used to calculate work or circulation.
FAQs About 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
inherent,intrinsic, essential, innate, ingrained, hardwired, native, built-in, hereditary, characteristic
extraneous, foreign, surface, surface, alien, adventitious, extraneous, foreign, incidental,extrinsic
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.
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.
