The Riemann integral can be approximated by using a definite value for rather than taking a limit. In this case, the partition is , and the function is evaluated at the midpoints of each of these intervals. Note that this is a special case of a Riemann sum in which the ’s are evenly spaced and the ’s chosen are the midpoints.
If is Riemann integrable on such that for every , then
|Date of creation||2013-03-22 15:57:44|
|Last modified on||2013-03-22 15:57:44|
|Last modified by||Wkbj79 (1863)|