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Also known as integral of x, integral of a function, integral of f(x) with respect to the variable x

thumb|300px|A definite integral of a function can be represented as the signed area of the region bounded by its graph and the horizontal axis; in the above graph as an example, the integral of f(x) between a and b is the yellow (−) area subtracted from the blue (+) area|alt=Definite integral example

AI overview

An integral is a mathematical tool that calculates the area under a curve on a graph, accounting for whether regions are above or below the horizontal axis. It matters because it allows mathematicians and scientists to find total quantities like distance, area, and volume from information about how things change.

AI-generated from the Wikipedia summary — may contain errors.

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