1. Approximate the area of the shaded region under the graph of the given function by using the indicated rectangles. (The rectangles have equal width.) {image} {applet}
A = 7.25
A = 7
A = 9
A = 9.75 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. Estimate to the hundredth the area from 1 to 5 under the graph of {image} using four approximating rectangles and right endpoints. Select the correct answer. The choices are rounded to the nearest hundredth.
2.57
1.03
4.05
1.65
2.61
1.21 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. Estimate the area under the graph of {image} , using four approximating rectangles and taking the sample points to be left endpoints. Round your answer to the nearest hundredth. {applet}
1.55
0.55
1.19
1.42 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. Find the area of the region that lies under the graph of f over the given interval. {image}1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. Find the area of the region that lies under the graph of f over the given interval. {image}1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50