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:
- interior
- typical
- deep-rooted
- ingrain
- internal
- inmost
- habitual
- normal
- peculiar
- regular
- in one's blood
- congenital
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
intrinsic, essential, inherent, hardwired, distinctive, inborn, immanent, basic, constitutional, inherited
surface, surface, incidental,extrinsic, foreign, adventitious, alien, extraneous, incidental, foreign
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.
