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.
Topics in Calculus
Fundamental theorem
Limits of functions
Continuity
Mean value theorem
[show]Differential calculus
[show]Integral calculus
[show]Vector calculus
[show]Multivariable calculus
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.
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