Calculates an approximation of an area under a curve using a left Riemann sum. Press the right arrow key to increase the number of subintervals by 1. The function and the interval of the area can be modified.data:image/png;base64,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 an approximation of an area under a curve using a left Riemann sum. Press the right arrow key to increase the number of subintervals by 1. The function and the interval of the area can be modified.

data:image/png;base64,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

201802-20r-g-b(-a)808080-2400902310905-1060101201090-10x100-18001710905-1060101201090-20y10

a1b7n0approximated areascolumnsr-g-b(-a)80808090-230-140a = 1010, b = 1010-230-15010 subintervals10-230-160Approximated area: 10last104803600.1right arrow