1272Exam1-pogan

# 1272Exam1-pogan - A , B , etc., and the appropriate...

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

NAME: STUDENT ID. NUMBER: TA: SECTION: INSTRUCTIONS: Display all your calculations! A result alone does not count. Do not use calculators. Clearly mark your ﬁnal results by underlining, etc. MATH 1272: Exam 1 1.Compute the following integrals: a ) Z e 5 x dx ; (15 points) b ) Z dx x 2 x 2 + 25 ; (10 points)

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

View Full Document
c ) Z π 2 0 sin (7 x ) cos (4 x ) dx ; (10 points) d ) Z ln3 0 e x dx e 2 x + 4 e x + 20 ; (15 points)
2. How should you simplify f ( x ) = x 5 + 2 x - 4 ( x 2 + 3)( x 6 + 3 x 4 ) using partial fractions before trying to integrate it? Do not bother to compute the constants in the numerators-just write down the correct form using the constants

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: A , B , etc., and the appropriate denominators. (10 points) 3. Which substitution should one try for Z (tan x sec x ) 8 dx ? (No justication required!!!) (10 points) 4. Find the length of the curve y = x 3 6 + 1 2 x , 1 2 x 1 . (Hint: Try to form a perfect square under the square root). (15 points) 5. Use the fact that R 1 e-x dx is convergent to show that Z 3 e-x 5 x dx is convergent. (15 points)...
View Full Document

## This note was uploaded on 10/05/2011 for the course MATH 1272 taught by Professor Wilson during the Spring '08 term at Minnesota.

### Page1 / 4

1272Exam1-pogan - A , B , etc., and the appropriate...

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

View Full Document
Ask a homework question - tutors are online