Riemann Sums

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The area under a curve can be approximated by a Riemann sum. The definite integral is the limit of that area as the width of the largest rectangle tends to zero. Observe that as the number of rectangles is increased, the estimated area approaches the actual area.
Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA
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"Riemann Sums"
http://demonstrations.wolfram.com/RiemannSums/
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Published: March 7 2011