Suppose .
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
?
overestimate of
equal to
underestimate of
there is ambiguity
the area of the region enclosed by , the -axis, and the vertical lines and .
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
?
overestimate of
equal to
underestimate of
there is ambiguity
the area of the region enclosed by , the -axis, and the vertical lines and .
Left endpoint Riemann sum
Right endpoint Riemann sum