imo class 12 application of integrals

The area enclosed by the curve y = 1/x², the x-axis, x = 1 and x = 2 is:

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The area enclosed by the curve y = 1/x², the x-axis, x = 1 and x = 2 is:

  • A. 1/2 sq unit
  • B. 1 sq unit
  • C. 2 sq units
  • D. 1/4 sq unit

Answer: A) 1/2 sq unit

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

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