MATH111-200630-ST02

# MATH111-200630-ST02 - 3 Evaluate the following integral x 9...

This preview shows pages 1–4. Sign up to view the full content.

UNIVERSITY OF REGINA DEPARTMENT OF MATHEMATICS AND STATISTICS MATH 111–002 200630 Sample Midterm Test 2 Time: 50 minutes Name: Instructor: Student #: Dr. Edward Doolittle Section: You have 50 minutes to do each of the following questions. Please check your work carefully. The test is worth a total of 50 marks. Non-programmable calculators, logarithm tables, and/or slide rules are permitted; no other aids are permitted. Use the backs of the pages for rough work. 1. (10 marks) Find the following integral: x 2 e x dx . 2. (10 marks) Find the following trigonometric integral: π 2 0 sin 5 x dx . Page 1 of 4

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

View Full Document
MATH 111–002 200630 Midterm Test 2 Page 2 of 4 Time: 50 minutes Name: Student #: Section:

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.

Unformatted text preview: 3. Evaluate the following integral: x 9 x 5 x 2 dx . MATH 111–002 200630 Midterm Test 2 Page 3 of 4 Time: 50 minutes Name: Student #: Section: 4. (10 marks) Evaluate the integral 5 4 x x 2 dx . You may find some of the formulas tan θ d θ ln sec θ C sec θ d θ ln sec θ tan θ C sec 3 θ d θ 1 2 sec θ tan θ 1 2 ln sec θ tan θ C helpful. MATH 111–002 200630 Midterm Test 2 Page 4 of 4 Time: 50 minutes Name: Student #: Section: 5. (10 marks) (a) Prove the reduction formula sin n x dx 1 n cos x sin n 1 x n 1 n sin n 2 x dx (b) Show that, for odd powers 2 n 1 of sine, π 2 sin 2 n 1 x dx 2 4 6 2 n 3 5 7 2 n 1 ....
View Full Document

## This note was uploaded on 01/12/2010 for the course MATH 111 taught by Professor Doolittle during the Fall '06 term at Berkeley.

### Page1 / 4

MATH111-200630-ST02 - 3 Evaluate the following integral x 9...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online