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mth%20211%20sample%20exam%201%202011

mth%20211%20sample%20exam%201%202011 - MTH 211 Sample...

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MTH 211 Sample Exam #1 1. Find   3 2 1 x x dx . 2. Determine the indefinite integral: 31 x x dx . 3. Determine the indefinite integral: 2 1 16 ( 3) dx x  . 4. Determine the indefinite integral: 2 1 . 6 18 dx xx  5. Determine the indefinite integral: 2 6 49 x dx x . 6. Let R be the region in the first quadrant bounded by the graph of 2 yx , the horizontal line 6 y , and the y -axis, as shown in the figure above. Find the area of R .

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7. The shaded region, R , is bounded by the graph of 2 yx and the line y = 4, as shown in the figure above. (a) Write an algebraic expression that represents the incremental volume of one rectangle
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