The area bounded by the curve y = log x, the x-axis and the lines x = 1 and x = e is:
The area bounded by the curve y = log x, the x-axis and the lines x = 1 and x = e is:
- A. 1 sq unit
- B. e sq units
- C. (e − 1) sq units
- D. 0 sq unit
Answer: A) 1 sq unit
Explanation: Area = ∫[1 to e] log x dx = [x log x − x]₁ᵉ = (e·1 − e) − (1·0 − 1) = 0 − (−1) = 1 sq unit.
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