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This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation).

A definite integral of a function can be represented as the signed area of the region bounded by its graph.

Integration is an important concept in mathematics and, together with its inverse, differentiation, is one of the two main operations in calculus. Given a function ƒ of a real variable x and an interval [a, b] of the real line, the definite integral

is defined informally to be the net signed area of the region in the xy-plane bounded by the graph of ƒ, the x-axis, and the vertical lines x = a and x = b.
The term integral may also refer to the notion of antiderivative, a function F whose derivative is the given function ƒ. In this case, it is called an indefinite integral and is written:

INTEGRAL

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