a) The rectangles in the graph below illustrate a Riemann sum for on the interval .
The value of this Riemann sum is , and this Riemann sum is an the area of the region enclosed by , the x-axis, and the vertical lines x = 4 and x = 8.

Left endpoint Riemann sum for on



b) The rectangles in the graph below illustrate a Riemann sum for on the interval .
The value of this Riemann sum is , and this Riemann sum is an the area of the region enclosed by , the x-axis, and the vertical lines x = 4 and x = 8.

Right endpoint Riemann sum for on