imo class 12 application of integrals

Evaluate the area of the region bounded by y = cos(x), x = 0, x = π/2, and the x-axis.

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Evaluate the area of the region bounded by y = cos(x), x = 0, x = π/2, and the x-axis.

  • A. 1
  • B. 2
  • C. π/2
  • D. 0.5

Answer: A) 1

Explanation: Area = ∫(0 to π/2) cos(x) dx = [sin(x)] from 0 to π/2 = 1 − 0 = 1 sq unit.

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