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Suppose .
(a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum for on the interval . The value of this left endpoint Riemann sum is , and it is an
the area of the region enclosed by , the x-axis, and the vertical lines and .
(b) The rectangles in the graph on the right illustrate a right endpoint Riemann sum for on the interval . The value of this right endpoint Riemann sum is , and it is an
the area of the region enclosed by , the x-axis, and the vertical lines and .
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Left endpoint Riemann sum |
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Right endpoint Riemann sum |
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