# Integration vs. Integral

## Difference Between Integration and Integral

#### Integrationnoun

The act or process of making whole or entire.

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

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

#### Integrationnoun

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

(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.

(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 $x\mapsto x^2$ on $\left[0,1\right]$ is $\frac\left\{1\right\}\left\{3\right\}$.

#### Integrationnoun

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

#### Integralnoun

(mathematics) Antiderivative

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

#### Integrationnoun

the act of combining into an integral whole;

a consolidation of two corporationsafter their consolidation the two bills were passed unanimouslythe 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

existing as an essential constituent or characteristic;

the Ptolemaic system with its built-in concept of periodicitya constitutional inability to tell the truth

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

a local motion keepeth bodies integralwas able to keep the collection entire during his lifetimefought to keep the union intact