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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

 


  this page updated 21-feb-16
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes