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prob6 - 1 Z ∞ π cos 2(4 x x 3 2 dx 2 Z ∞ 1 e − x √...

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Math 151 Spring 2008 Problem Set # 6 Improper Integrals: Part 2 Starred Problems are due on Wednesday, February 27 In problems 1-8, make use of a comparison test in order to determine whether the improper integral converges or diverges. Do not try to evaluate the integral (in the case of an integral on a bounded interval, you need to explain why the integral is an improper integral).
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Unformatted text preview: 1*. Z ∞ π cos 2 (4 x ) x 3 / 2 dx 2*. Z ∞ 1 e − x √ x dx 3*. Z ∞ 9 √ x x + 4 dx 4. Z ∞ 1 1 x 3 + 2 x + 9 dx 5. Z + ∞ x 2 e − x 2 dx 6*. Z ∞ 1 e − x sin μ 1 x ¶ dx 7*. Z 4 1 x 1 / 3 (4 − x ) 2 dx 8. Z 1 1 x 1 / 3 cos μ 1 x 2 ¶ dx 1...
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