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Unformatted text preview: February 23, 2005 Announcements: 1. Office hours today: A. Chen - 2:30-4:30 MSC K. Ross - 4:30-6:30 MSC T. Toro - 1:30-3:30 MSC 2. Bring your scientific calculator to the midterm tomorrow, you will need it. Recall graphing calculators are NOT allowed. Today Review 1. Compute the following definite integrals:
1 0 (x2 + 1)e-x dx cos x + 2 dx 3 2 0 2. Compute the following indefinite integrals: x2 4 - x2 x3 x2 + x + 1 2 dx dx 3. The portion of the graph y = ex between x = 0 and x = ln 5 is rotated about the y-axis to form a container. The container is filled with water. The density of water is 1000kg/m3, and the acceleration due to gravity is 9.8 m/s2. (a) Write an integral that computes the work required to pump all the water up out of the tank. Do not evaluate the integral. (b) Use the Simpson's rule with n = 4 to approximate the work above. 4. Does the improper integral
1 -x3 sin2 x dx e converge? (Do not try to evaluate it) ...
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