Assignment 15-solutions

Assignment 15-solutions - nanni (arn437) Assignment 15...

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Unformatted text preview: nanni (arn437) Assignment 15 guntel (54940) 1 This print-out should have 4 questions. Multiple-choice 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....
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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.

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Assignment 15-solutions - nanni (arn437) Assignment 15...

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