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8.1-problems - yonghan(yh3977 8.1 campisi(54970 This...

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yonghan (yh3977) – 8.1 – campisi – (54970) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points Evaluate the definite integral I = integraldisplay e 1 5 x 3 ln xdx. 1. I = 15 16 e 4 2. I = 5 16 (3 e 4 + 1) 3. I = 5 4 (3 e 4 + 1) 4. I = 5 16 (3 e 4 - 1) 5. I = 5 4 (3 e 4 - 1) 002 10.0points Evaluate the definite integral I = integraldisplay e 1 parenleftBig 3(ln x ) 2 - 2 parenrightBig dx. 1. I = e + 4 2. I = e - 5 3. I = e - 4 4. I = 2 e - 4 5. I = 2 e + 4 6. I = 2 e - 5 003 10.0points Determine the integral I = integraldisplay ( x 2 + 3) cos 2 xdx. 1. I = 1 4 parenleftBig 2 x cos 2 x +(2 x 2 +5) sin 2 x parenrightBig + C 2. I = 1 2 parenleftBig 2 x cos 2 x - (2 x 2 +5) sin 2 x parenrightBig + C 3. I = 1 2 x 2 sin 2 x - x cos 2 x + 7 2 sin 2 x + C 4. I = 1 2 parenleftBig 2 x cos 2 x +(2 x 2 +5) sin 2 x parenrightBig + C 5. I = 1 4 parenleftBig 2 x sin 2 x - (2 x 2 +5) cos 2 x parenrightBig + C 6. I = - x 2 cos 2 x + x sin 2 x - 7 2 cos 2 x + C 004 10.0points Evaluate the definite integral I = integraldisplay 1 0 4 x 3 e - x 2 dx. 1. I = 2( e - 2) 2. I = 4 3 parenleftBig e + 2 e parenrightBig 3. I = 4 3 parenleftBig e - 2 e parenrightBig 4. I = 2 parenleftBig e + 2 e parenrightBig 5. I = 2 parenleftBig e - 2 e parenrightBig 6. I = 4 3 (
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