Level 9 Portfolio by Sangeetha Bharath
Below is a model of a Riemann Sum calculation. I have calculated the area under the curve using n rectangles (n can be manipulated using the slider). The area, as one may notice, will change (become more accurate) as n increases. The actual area under the curve is 111.25. The area calculated via the Riemann Sum when n is at its greatest value (50) is 108.29. These two areas are similar, but a greater value of n would yield a more accurate measurement of the area. For the sum to equal the area, n should be a very large number, such that the number of rectangles under the curve increases.