Integration by Riemann Sums

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The integral of a function can be defined as the limit (in a certain precise sense) of the sums of the areas of rectangles touching the graph of the function. Suppose that a typical rectangle has the interval for its base. Then you can choose among these heights for the rectangles:

[more]

—left

—right

—max

—min

—mean

[less]

Contributed by: Jiwon Hwang (March 2011)
Open content licensed under CC BY-NC-SA


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