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Find the area of the region bounded by the line y = x, the vertical line x = e, the curve y = 1/x and the positive x-axis.
- 3/2 square units
- 5/2 square units
- 1/2 square units
- 1 square units
Correct answer: 3/2 square units
Solution
Integrating y = x from 0 to 1 gives 1/2, and y = 1/x from 1 to e gives 1; the total enclosed area is 3/2.
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