The function is .
The subintervals are .
Observe the graph:
\The area is bounded between and
.
The function is decreasing on interval .
Width .
The minimum value on each sub interval occurs at the left end point.
\The left end point is .
Lower sum is .
.
The upper sum square units.
The sum of areas of the circumscribed rectangles is called upper sum.
\The right end point is .
The sum of areas of the circumscribed rectangles is called upper sum.
\Upper sum is .
.
The Upper sum square units.
square units.
square units.