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Unformatted text preview: armington (kma786) 6.1 Stepp (55860) 1 This printout should have 6 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Express the area, A , between the graph of f and the xaxis on the interval [0 , 4] in terms of definite integral(s) when f ( x ) = 2 x x 2 . 1. A = integraldisplay 3 (2 x x 2 ) dx + integraldisplay 4 3 (2 x x 2 ) dx 2. A = integraldisplay 3 (2 x x 2 ) dx integraldisplay 4 3 (2 x x 2 ) dx 3. A = integraldisplay 2 (2 x x 2 ) dx integraldisplay 4 2 (2 x x 2 ) dx correct 4. A = integraldisplay 4 (2 x x 2 ) dx 5. A = integraldisplay 1 (2 x x 2 ) dx + integraldisplay 4 1 (2 x x 2 ) dx 6. A = integraldisplay 4 ( x 2 2 x ) dx 7. A = integraldisplay 1 (2 x x 2 ) dx integraldisplay 4 1 (2 x x 2 ) dx 8. A = integraldisplay 2 (2 x x 2 ) dx + integraldisplay 4 2 (2 x x 2 ) dx Explanation: The graph of f is a parabola opening down wards and crossing the xaxis at x = 0 and x = 2. Thus the required area is similar to the shaded region in the x y In terms of definite integrals, therefore, the required area is given by A = integraldisplay 2 (2 x x 2 ) dx integraldisplay 4 2 (2 x x 2 ) dx ....
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 Spring '11
 STEPP
 Calculus

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