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SCAN0052

# SCAN0052 - An Overview of Integration S F Ellermeyer The...

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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 .. ' SFQIMX 38' ' «team. we 2“}: m ‘ ﬂake . Figure 1 ...
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