Origin: Latin suffix -al
Integral has 7 different meanings across 3 categories:
Noun · Adjective · Proper Noun
the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
"In calculus, we know that F(x) represents the integral of f(x) when the derivative of F equals f."
A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.
"The integral calculates the total area under the curve by summing the products of function values and interval widths across infinitely many infinitesimal segments."
In plain English: An integral is something that is absolutely necessary for making up a whole thing.
"The integral was an essential part of his mathematical studies that he had to master before advancing further."
existing as an essential constituent or characteristic
"the Ptolemaic system with its built-in concept of periodicity"
"a constitutional inability to tell the truth"
Constituting a whole together with other parts or factors; not omittable or removable
"The foundation is an integral part of the building, so it cannot be removed without compromising its structural integrity."
In plain English: Something that is integral means it is absolutely necessary and cannot be missing for something else to work properly.
"Math is an integral part of his education plan."
Usage: Use "integral" to describe something essential that cannot be removed from a complete system, such as an integral part of a team. Do not confuse this adjective with the mathematical noun referring to calculus operations involving limits and sums.
Abbreviation of International Gamma-Ray Astrophysics Laboratory. (a satellite of the European Space Agency)
"The data collected by Integral helped astronomers study high-energy processes in the universe."
The word entered English via Middle French and Medieval Latin as integrālis, derived from the original Latin term integer meaning "entire." Its core sense of being whole or complete has remained consistent throughout its journey into modern usage.