# Integrity vs. Integral

## Difference Between Integrity and Integral

#### Integritynoun

Steadfast adherence to a strict moral or ethical code.

#### Integraladjective

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

#### Integritynoun

The state of being wholesome; unimpaired

#### Integraladjective

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

#### Integritynoun

The quality or condition of being complete; pure

#### Integraladjective

(mathematics) Relating to integration.

#### Integritynoun

(cryptography) With regards to data encryption, ensuring that information is not altered by unauthorized persons in a way that is not detectable by authorized users.

#### Integraladjective

(obsolete) Whole; undamaged.

#### Integritynoun

(aviation) The ability of a system to provide timely warnings to users when they should not be used for navigation.

#### 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 $\backslash frac\{1\}\{3\}$.*

#### Integritynoun

an unreduced or unbroken completeness or totality

#### Integralnoun

(mathematics) Antiderivative

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

#### Integritynoun

moral soundness

#### Integralnoun

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

#### 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*