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The rectangles in the graph below illustrate a left endpoint approximation for the area under ?(?)=?^2/12...

The rectangles in the graph below illustrate a left endpoint approximation for the area under ?(?)=?^2/12 on the interval [4,8].
The value of this left endpoint approximation is  , and this approximation is an   ?    overestimate of    equal to    underestimate of    there is ambiguity    the area of the region enclosed by ?=?(?), the x-axis, and the vertical lines x = 4 and x = 8.

Left endpoint approximation for area under ?=?212y=x212 on [4,8][4,8]


The rectangles in the graph below illustrate a right endpoint approximation for the area under ?(?)=?^2/12 on the interval [4,8].
The value of this right endpoint approximation is  , and this approximation is an   ?    overestimate of    equal to    underestimate of    there is ambiguity    the area of the region enclosed by ?=?(?), the x-axis, and the vertical lines x = 4 and x = 8.

Right endpoint approximation for the area under ?=?212y=x212 on [4,8][4,8]
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