I need help on questions 2-6

1.pdf Practice Test 1 (Math 72-Stewart) 1. Evaluate each integral. (a) (d) cos xsin xdx (e) (h ) sin x dx J xsec2xdx cos X (k) |x tan xdx cos'x tan' xdx Use the Table of Integrals to evaluate each integral. (a) 4 +(Inx)" (b) [eff arctanedx 3. Find the volume of the solid obtained by rotating the region bounded by (a) the x-axis; (b) the line y = (c) the line x = d) the 4. Find the area of the region below the curve y = vx and y = 5. A 5 lb bucket is lifted from the ground into the air by pulling in 20 ft of a rope at a constant speed The rope weighs .08 (b/ft. How much work was spent lifting the bucket and the rope? 6. A spring has a natural length of 20 cm. If a 25 N force is required to keep it stretched to a len of 30 cm, how much work is required to stretch it from 20 cm to 25 cm