imo class 12 application of integrals

The area bounded by the curve y = 1/x, the x-axis and the ordinates x = 1 and x = 2 is:

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The area bounded by the curve y = 1/x, the x-axis and the ordinates x = 1 and x = 2 is:

  • A. log 2 sq units
  • B. log 3 sq units
  • C. 2 log 2 sq units
  • D. 1/2 sq unit

Answer: A) log 2 sq units

Explanation: Area = ∫[1 to 2] (1/x) dx = [log x]₁² = log 2 − log 1 = log 2 sq units.

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