hw1 - x . The following problems are only recommended, not...

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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) i x 2 ln xdx . (b) i θ cos θdθ . (c) i e - θ cos 2 θdθ . (d) i 1 0 xe - x 2 dx . (e) i sin 3 x cos 2 xdx . (f) i 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 ±nd its area. (a) y = sin x , y = e x , x = 0, x = π 2 . (b) y = cos x , y = 1 - cos x , 0
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Unformatted text preview: x . 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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