imo class 12 application of integrals

The area bounded by y = log x, y = 0 and x = e is:

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The area bounded by y = log x, y = 0 and x = e is:

  • A. 1 sq unit
  • B. e sq units
  • C. 0 sq unit
  • D. e−1 sq units

Answer: A) 1 sq unit

Explanation: Area = ∫[1 to e] log x dx = [x log x − x]₁ᵉ = (e−e) − (0−1) = 1 sq unit.

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