Question

Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer and explain, using a graph of f(x), what the Riemann sum in Question #1 represents.
The Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval is 28.000. This Riemann sum represents the area under the graph of f(x) from 0 to 3. The area is calculated by summing the areas of the rectangles formed by the graph of f(x) and the x-axis, with the width of each rectangle being the width of the subinterval and the height of each rectangle being the value of f(x) at the right endpoint of the subinterval.

Graph of f(x):

https://www.desmos.com/calculator/qhxhjhqhjm

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