- 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
OTHER WORDS FROM integralin·te·gral·i·ty, nounin·te·gral·ly, adverbun·in·te·gral, adjectiveun·in·te·gral·ly, adverb
How to use integral in a sentence
When it comes to maintaining and building the social relationships that are so integral to well-being, folks would be wise to connect with others using their voices — by talking rather than typing.Texting all day? You’ll feel happier if you pick up the phone and chat.|Jill Suttie|November 6, 2020|Washington Post
The path integral works so well for particle motion that theorists in the ’50s proposed it as a quantum theory of gravity.
That’s an integral part of how a young child learns how to be a person.Forget Everything You Know About Your Dog (Ep. 436)|Stephen J. Dubner|October 22, 2020|Freakonomics
Maybe you can’t define photosynthesis, but you’re an integral part of an epistemic ecosystem that can not only define it but examine it at the smallest scales, and manipulate it for the benefit of all.
Mountain headwater forests are an integral part of California’s water infrastructure.Healthy forests do more than just prevent wildfires|By Bales & Conklin/The Conversation|October 19, 2020|Popular-Science
It will be seen that the sixteen cams are forged integrally with the shaft and that it is spur-gear driven.Aviation Engines|Victor Wilfred Pag
The man who was accused of being denationalized stands as the most integrally and truly American among his contemporaries.Thomas Jefferson|Gilbert Chinard
The northerly cross wall was tied into the brickwork of the east wall, showing that it was built integrally with the foundation.The Cultural History of Marlborough, Virginia|C. Malcolm Watkins
Its leverage is felt within us as well as without, for expression and thought are integrally bound together.The Teacher|George Herbert Palmer
In this case, the numeral "1" has been applied with wire fasteners rather than cast integrally with the two portions of the plate.American Military Insignia 1800-1851|J. Duncan Campbell and Edgar M. Howell.
British Dictionary definitions for integral
- of or involving an integral
- involving or being an integer