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hw1 - ≤ x ≤ π The following problems are only...

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MATH 138 Calculus 2 Fall 2010 Assignment #1 Due: 12:30 p.m., Friday, September 24 1. Evaluate the following integrals: (a) integraltext x 2 ln xdx . (b) integraltext θ cos θdθ . (c) integraltext e - θ cos 2 θdθ . (d) integraltext 1 0 xe - x 2 dx . (e) integraltext sin 3 x cos 2 xdx . (f) integraltext 7 + 6 x - x 2 dx . 2. Find the arclength of the curve y = ln(cos x ), 0 x π 3 . 3. Sketch the region enclosed by the given curves, and find its area. (a) y = sin x , y =
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Unformatted text preview: ≤ x ≤ π . The following problems are only recommended, not for submission. • Course Notes: all examples and exercises in sections 1.1 and 1.3. • Stewart: Section 6.1 Exercises 1,4, 31; Section 7.1 Exercises 1, 31, 44; Section 7.2 Exercises 1, 12; Section 7.3 Exercises 2, 24, 31....
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