(a)

The function is .

Partition the interval  into  subintervals.

Width .

 is increasing on the interval .

The minimum value on each subinterval occurs at the left endpoint.

The maximum value occurs at the right endpoint.

Right Endpoints: .

Upper sum using right endpoints:

The Upper sum is .

Graph the Upper sum using right endpoints.

.

(b)

Lower sum using left endpoints:

Left Endpoints: .

The lower sum is .

Sketch the Lower sum using left endpoints.

.

(a) Using right endpoints, the upper sum is .

Graph:

.

(b) Using the left endpoints, the lower sum is .

Graph:

.