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Homework 6

# Homework 6 - sl7433 Homework 6 Radin(58415 This print-out...

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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 (ln 4 - 1) 2. I = 4 7 (ln 4 + 1) 3. I = 8 7 (ln 2 + 1) 4. I = 1 7 (ln 2 + 1) 5. I = 4 7 (ln 4 - 1) 6. I = 8 7 (ln 2 - 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) cos 2 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 sin 2 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 x 2 +7) sin 2 x parenrightBig + C 004 10.0 points Evaluate the definite integral I = integraldisplay 1 0 5 x 7 e - x 4 dx .

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