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