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Find the area enclosed by the curve y = ln x, the line x = 0, the x-axis, and the part of the curve with y ≤ 0.

1. 1 square unit
2. 1/2 square unit
3. 2 square units
4. None of these

Correct answer: 1 square unit

Solution

Area = |integral_0^1 ln x dx| = |[x ln x - x]_0^1| = |0 - (-1)| = 1 square unit.

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