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Find the area enclosed by the graph of y = (ln x)² - 1 that lies in the fourth quadrant.

1. 2/e
2. 4/e
3. 2(e + 1/e)
4. 4(e - 1/e)

Correct answer: 4/e

Solution

The curve dips below the x-axis for 1/e < x < e; integrating the absolute value of (ln x)² - 1 over this interval gives 4/e.

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