Riemann Sums

The figures below display the graph of y = x3 - 3x together with the rectangles used to compute the Riemann sum corresponding to a regular partition of [1,4] into 5 subintervals and various selection points. The value of the Riemann sum is the red area minus the blue area.
Selection points: right-hand endpoints
Riemann Sum: 58.8
Selection points: left-hand endpoints
Riemann Sum: 26.4
Selection points: midpoints
Riemann Sum: 40.575

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