# integration

## in·te·gra·tion

*noun*\ˌin-tə-ˈgrā-shən\

## Definition of *INTEGRATION*

**:**the act or process or an instance of integrating: as

*a*

**:**incorporation as equals into society or an organization of individuals of different groups (as races)

*b*

**:**coordination of mental processes into a normal effective personality or with the environment

*a*

**:**the operation of finding a function whose differential is known

*b*

**:**the operation of solving a differential equation

## First Known Use of *INTEGRATION*

## Rhymes with *INTEGRATION*

## in·te·gra·tion

*noun*\ˌint-ə-ˈgrā-shən\

*(Medical Dictionary)*

## Medical Definition of *INTEGRATION *

**:**the combining and coordinating of separate parts or elements into a unified whole: as

*a*

**:**coordination of mental processes into a normal effective personality or with the individual's environment <failure of association and failure of

*integration*take place among neurotic individuals—R. M. Dorcus & G. W. Shaffer>

*b*

**:**the process by which the different parts of an organism are made a functional and structural whole especially through the activity of the nervous system and of hormones

## integration

*noun*

*(Concise Encyclopedia)*

In calculus, the process of finding a function whose derivative is a given function. The term, sometimes used interchangeably with “antidifferentiation,” is indicated symbolically with the integral sign . (The differential *d**x* usually follows to indicate *x* as the variable.) The basic rules of integration are: (1) (*f* + *g*)*d**x* = *f**d**x* + *g**d**x* (where *f* and *g* are functions of the variable *x*), (2) *k**f**d**x* = *k**f**d**x* (*k* is a constant), and (3) (*C* is a constant). Note that any constant value may be added onto an indefinite integral without changing its derivative. Thus, the indefinite integral of 2*x* is *x*^{2} + *C*, where *C* can be any real number. A definite integral is an indefinite integral evaluated over an interval. The result is not affected by the choice for the value of *C*. *See also* differentiation.

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