Observe the graph:
\The area is bounded between and
.
The number of subintervals are .
The width of the subintervals is .
From the graph approximate the function values.
\ and
.
The maximum value on each subinterval occurs at the right end point.
\.
Right end points of the graph are
\.
The upper sum .
The upper sum .
The minimum value on each subinterval occurs at the left end point.
\.
The lower sum is .
.
The lower sum .
The area of the shaded region falls between square units and
square units.
The area of the shaded region falls between square units and
square units.