Unformatted text preview: An Overview of Integration S. F. Ellermeyer
December 15, 2004 The Definite Integral of a Function f Over an Interval [a,b] Suppose that f is a continuous function defined on an interval [a,b]. The deﬁnite
integral off from a to b is denoted by jbﬂxmx. Graphically, the definite integral of f from a to b is the “signed area” of the region
bounded by the graph ofy =f(x), the x axis, and the vertical lines x = a and x : b.
Parts of the region which lie above the x axis give a positive contribution to the integral
and parts of the region which lie below the x axis give a negative contribution. g a .. '
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- Fall '08