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Unformatted text preview: Do not evaluate the integral. (b) What method did you use to part (a)? 4. (12 points) A bucket full of water is hanging down a well at the end of a 30 ft rope. The bucket and water together weigh 20 lbs. The rope has a density of 0.5 lb/ft. Set up an integral for calculating how much work is done lifting the bucket to the top of the well. Do not evaluate the integral. 5. (20 points) Evaluate each of the following denite integrals: (a) Z / 2 sin 2 x cos xdx (b) Z / 4 tan 2 sec 4 d 6. (24 points) Find the following indenite integrals: (a) Z x 2 ln xdx (b) Z 1 x 2 + 4 dx (c) Z x 2 16x 2 dx 7. (6 points) Find the following indenite integral Z x 2 + 4 x + 5 dx...
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 Spring '10
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