In mathematics,
an integral assigns numbers to functions in a way that describes displacement, area, volume,
and other concepts that arise by combining infinitesimal data.
The process of finding integrals is called integration.
Along with differentiation, integration is a fundamental operation of calculus,[a] and
serves as a tool to solve problems in mathematics and
physics involving the area of an arbitrary shape, the length of a curve,
and the volume of a solid, among others.
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