Homework 6 - sl7433 – Homework 6 – Radin – (58415) 1...

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Unformatted text preview: sl7433 – Homework 6 – Radin – (58415) 1 This print-out should have 17 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 1 ln t 7 √ t dt . 1. I = 1 7 (ln4- 1) 2. I = 4 7 (ln4 + 1) 3. I = 8 7 (ln2 + 1) 4. I = 1 7 (ln2 + 1) 5. I = 4 7 (ln4- 1) 6. I = 8 7 (ln2- 1) 002 10.0 points Determine the integral I = integraldisplay 4 x (ln x ) 2 dx . 1. I = 2 x 2 parenleftBig (ln x ) 2- ln x + 1 2 parenrightBig + C 2. I = 4 x 2 parenleftBig (ln x ) 2 + ln x- 1 2 parenrightBig + C 3. I = 2 x 2 parenleftBig (ln x ) 2 + ln x + 1 2 parenrightBig + C 4. I = 2 x 2 parenleftBig (ln x ) 2- ln x- 1 2 parenrightBig + C 5. I = 4 x 2 parenleftBig (ln x ) 2- ln x + 1 2 parenrightBig + C 6. I = 4 x 2 parenleftBig (ln x ) 2 + ln x + 1 2 parenrightBig + C 003 10.0 points Determine the integral I = integraldisplay ( x 2 + 4) cos2 x dx . 1. I = 1 2 parenleftBig 2 x cos 2 x- (2 x 2 +7) sin 2 x parenrightBig + C 2. I = 1 2 x 2 sin2 x- x cos 2 x + 9 2 sin 2 x + C 3. I =- x 2 cos 2 x + x sin 2 x- 9 2 cos 2 x + C 4. I = 1 4 parenleftBig 2 x sin 2 x- (2 x 2 +7) cos 2 x parenrightBig + C 5. I = 1 2 parenleftBig 2 x cos 2 x +(2 x 2 +7) sin 2 x parenrightBig + C 6. I = 1 4 parenleftBig 2 x cos 2 x +(2...
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This note was uploaded on 03/18/2008 for the course M 408L taught by Professor Radin during the Spring '08 term at University of Texas.

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Homework 6 - sl7433 – Homework 6 – Radin – (58415) 1...

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