Assignment5(1804)

Assignment5(1804) - A5/MATH1804/2009-10/2nd THE UNIVERSITY...

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THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH1804 University Mathematics A Assignment 5 Due date : Apr 16, 2010 before 17:00. Remember to write down your Name , Uni. number and Tutorial Group number . You are welcome to see the instructor or the demonstrators if you have any difficulties. See “Course information” at http://147.8.101.93/MATH1804 for availabilities. Please drop your work in the assignment box marked MATH1804 on the 4th floor of Run Run Shaw Building. No late work will be accepted. 1. Evaluate the following indefinite and definite integrals by integration by parts: Z x 2 e x dx, Z 1 0 x 2 e x dx. 2. Let I n = Z x n e - x dx. (a) Find I 0 . (b) Use integration by parts to obtain a formula relating I n and I n - 1 . (c) Use your formula in (b) to compute I 1 , I 2 , I 3 and I 4 . 3. Decide whether the following improper integrals are convergent or divergent and evaluate if convergent. (a)
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This note was uploaded on 10/14/2010 for the course MATH math1804 taught by Professor Prof during the Spring '08 term at HKU.

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Assignment5(1804) - A5/MATH1804/2009-10/2nd THE UNIVERSITY...

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