**Definite Integral**

An integral which is evaluated over an interval. A definite integral is written . Definite integrals are used to find the area between the graph of a function and the *x*-axis. There are many other applications.

Formally, a definite integral is the limit of a Riemann sum as the norm of the partition approaches zero. That is, .

**See also**

Fundamental Theorem of Calculus, integration methods,integral rules, work, volume by parallel cross-sections, disk method, cylindrical shell method

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