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Free Content Sledge-Hammer Integration

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Abstract:

Integration (here visualized as a pounding process) is mathematically realized by simple transformations, successively smoothing the bounding curve into a straight line and the region-to-be-integrated into an area-equivalent rectangle. The relationship to Riemann sums, and to the trapezoid and midpoint methods of numerical integration, is illustrated.

Document Type: Research Article

DOI: http://dx.doi.org/10.4169/193113409X469631

Publication date: January 1, 2009

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maa/cmj/2009/00000040/00000001/art00002
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