(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 .

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