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Accumulation using Riemann Sums

How to investigate Riemann Sums

This activity allows you to investigate Riemann Sum approximations using a left Riemann sum tool. We have plotted a function f(x), which you may alter in order to investigate further. We then find the Riemann sum approximation of the area under f(x) from point a to point b. You may also alter a and b using the slide tool in order to find different areas. Finally, try altering n, which represents the number of points that are going to be used in the Riemann sum approximation. You will notice that increasing n makes the rectangles smaller and smaller, until they begin to resemble lines. How does this relate to our activity in Part 1?