hw2 - MATH 138: Calculus 2 Assignment #2 Due: 12:30 p.m.,...

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Unformatted text preview: MATH 138: Calculus 2 Assignment #2 Due: 12:30 p.m., Friday, October 1 Fall 2010 1. Evaluate the following integrals: (a) (b) (c) (d) (e) (f) (g) x−1 dx. + 3x + 2 x3 − 4x − 10 dx. x2 − x − 6 x2 − 5x + 16 dx. (2x + 1)(x − 2)2 x2 x3 + x2 + 2x + 1 dx. (x2 + 1)(x2 + 2) 1 √ dx. 2 x+3+x ex dx. (ex − 2)(e2x + 1) √ x3 dx. 1 + x2 12 2. The linear density in a rod 8 m long is √x+1 kg/m, where x is measured in meters from one end of the rod. Find the average density of the rod. The following problems are only recommended, not for submission. • Stewart: Section 6.5 Exercises 1,13; Section 7.4 Exercises 7, 15, 26, 34, 42, 58; Section 7.5 Exercises 27, 42, 44; Read Section 7.5. ...
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