1. (15 pts) Evaluate (a) / 1202 1n (ar)dx 2.2022 1 dx (hint: complete square first) (1) | Vo2 - 62 +11 5 (22) dc 2.2 + 3

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1 15 Pts Evaluate A 1202 1n Ar Dx 2 2022 1 Dx Hint Complete Square First 1 Vo2 62 11 5 22 Dc 2 2 3 1 (29.71 KiB) Viewed 37 times

1. (15 pts) Evaluate (a) / 1202 1n (ar)dx 2.2022 1 dx (hint: complete square first) (1) | Vo2 - 62 +11 5 (22) dc 2.2 + 3x + 7 (c) | ) (x + 1)(x2+5) (Note: You may use the Table of Integrals provided in the textbook if needed.) 2. (15 pts) Consider the region bounded by y = Vx and y = 24. SET UP (BUT DO NOT EVALUATE) an integral formula for (a) the area of this region; (b) the volume of the solid generated by rotating this region about the x-axis using washers; (c) the volume of the solid generated by rotating this region about the horizontal line y=-2 using shells. 3. (5 pts) A spring is naturally 10 ft long and has spring constant k = 100 lb/ft. Find the work done in stretching the spring from 11 ft long to 15 ft long,