Assignment5(1804)

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

This preview shows pages 1–2. Sign up to view the full content.

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)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 10/14/2010 for the course MATH math1804 taught by Professor Prof during the Spring '08 term at HKU.

### Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online