This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: nanni (arn437) Assignment 15 guntel (54940) 1 This printout should have 4 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Evaluate the integral I = integraldisplay / 4 sec 2 x (1 4 sin x ) dx . 1. I = 5 + 4 2 2. I = 3 4 2 3. I = 3 4 2 4. I = 5 + 4 2 5. I = 3 + 4 2 6. I = 5 4 2 correct Explanation: Since sec 2 x { 1 4 sin x } = sec 2 x 4 sec x parenleftBig sin x cos x parenrightBig , we see that I = integraldisplay / 4 { sec 2 x 4 sec x tan x } dx . But d dx tan x = sec 2 x , while d dx sec x = sec x tan x . Consequently, I = bracketleftBig tan x 4 sec x bracketrightBig / 4 = 5 4 2 . 002 10.0 points Determine the integral I = integraldisplay x 2 + 1 x 1 dx . 1. I = x 2 + x ln  x 1  + C 2. I = 1 2 x 2 + x + 2 ln  x 1  + C correct 3. I = x 2 + x ln  x + 1  + C 4. I = 1 2 x 2 + x 2 ln  x 1  + C 5. I = 1 2 x 2 x + 2 ln  x + 1  + C 6.6....
View
Full
Document
This note was uploaded on 11/02/2011 for the course M 408N taught by Professor Gualdini during the Fall '10 term at University of Texas at Austin.
 Fall '10
 Gualdini
 Calculus

Click to edit the document details