# Integration vs. Integral

## Difference Between Integration and Integral

#### Integrationnoun

The act or process of making whole or entire.

#### Integraladjective

Constituting a whole together with other parts or factors; not omittable or removable

#### Integrationnoun

(society) The process of fitting into a community, notably applied to 'visible' (ethnic, immigrant...) minorities

#### Integraladjective

(mathematics) Of, pertaining to, or being an integer.

#### Integrationnoun

(calculus) The operation of finding the integral of a function.

#### Integraladjective

(mathematics) Relating to integration.

#### Integrationnoun

(biology) In evolution, the process by which the manifold is compacted into the relatively simple and permanent; supposed to alternate with differentiation as an agent in species' development.

#### Integraladjective

(obsolete) Whole; undamaged.

#### Integrationnoun

The combination with compatible elements in order to incorporate them.

#### Integralnoun

(mathematics) 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 of $x\backslash mapsto\; x^2$ on $[0,1]$ is $\backslash frac\{1\}\{3\}$.*

#### Integrationnoun

the action of incorporating a racial or religious group into a community

#### Integralnoun

(mathematics) Antiderivative

*The integral of $x^2$ is $\backslash frac\{x^3\}\{3\}$ plus a constant.*

#### Integrationnoun

the act of combining into an integral whole;

*a consolidation of two corporations*

*after their consolidation the two bills were passed unanimously*

*the defendants asked for a consolidation of the actions against them*

#### Integralnoun

the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)

#### Integrationnoun

an operation used in the calculus whereby the integral of a function is determined

#### Integraladjective

existing as an essential constituent or characteristic;

*the Ptolemaic system with its built-in concept of periodicity*

*a constitutional inability to tell the truth*

#### Integraladjective

constituting the undiminished entirety; lacking nothing essential especially not damaged;

*a local motion keepeth bodies integral*

*was able to keep the collection entire during his lifetime*

*fought to keep the union intact*