| An estimate of the area under a curve can be found by adding the areas of a series of rectangles whose tops closely match the shape of the curve. As this graph shows, any rectangle will always have part above the curve and part below the curve. However, if more rectangles with thinner widths are drawn, there will be less difference between the parts above and below the curve. To find a precise area from adding the areas of rectangles, the rectangles would have to be infinitely thin. The calculus technique of integration provides a way to find the area under a curve. |
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