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1necessary to make a whole complete; essential or fundamental:games are an integral part of the school’s curriculum systematic training should be integral to library management [attributive] included as part of the whole rather than supplied separately:the unit comes complete with integral pump and heater [attributive] having or containing all parts that are necessary to be complete:the first integral recording of the ten Mahler symphonies 2 Mathematics of or denoted by an integer. involving only integers, especially as coefficients of a function.
a function of which a given function is the derivative, i.e., which yields that function when differentiated, and which may express the area under the curve of a graph of the function. See also definite integral, indefinite integral. a function satisfying a given differential equation.