integral
[ in-ti-gruhl, in-teg-ruhl ]
/ ˈɪn tɪ grəl, ɪnˈtɛg rəl /
adjective
noun
an integral whole.
Mathematics.
- Also called Riemann integral. the numerical measure of the area bounded above by the graph of a given function, below by the x-axis, and on the sides by ordinates drawn at the endpoints of a specified interval; the limit, as the norm of partitions of the given interval approaches zero, of the sum of the products of the function evaluated at a point in each subinterval times the length of the subinterval.
- a primitive.
- any of several analogous quantities.Compare improper integral, line integral, multiple integral, surface integral.
Origin of integral
SYNONYMS FOR integral
OTHER WORDS FROM integral
in·te·gral·i·ty, noun in·te·gral·ly, adverb un·in·te·gral, adjective un·in·te·gral·ly, adverbWords nearby integral
Example sentences from the Web for integral
British Dictionary definitions for integral
integral
adjective (ˈɪntɪɡrəl, ɪnˈtɛɡrəl)
(often foll by to)
being an essential part (of); intrinsic (to)
intact; entire
formed of constituent parts; united
maths
- of or involving an integral
- involving or being an integer
noun (ˈɪntɪɡrəl)
maths
the limit of an increasingly large number of increasingly smaller quantities, related to the function that is being integrated (the integrand). The independent variables may be confined within certain limits (definite integral) or in the absence of limits (indefinite integral)
Symbol: ʃ
a complete thing; whole
Derived forms of integral
integrality (ˌɪntɪˈɡrælɪtɪ), noun integrally, adverbScientific definitions for integral
integral
[ ĭn′tĭ-grəl ]
Adjective
Involving or expressed as an integer or integers.
Noun
See definite integral indefinite integral.