: 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
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 differentialdx usually follows to indicate x as the variable.) The basic rules of integration are: (1) (f + g)dx = fdx + gdx (where f and g are functions of the variable x), (2) kfdx = kfdx (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 2x is x2 + 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 alsodifferentiation.