imo class 12 definite integration

The area bounded by y = sin x, x = 0, x = π and the x-axis is:

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The area bounded by y = sin x, x = 0, x = π and the x-axis is:

  • A. 0 sq units
  • B. 1 sq unit
  • C. 2 sq units
  • D. 4 sq units

Answer: C) 2 sq units

Explanation: Area = ∫₀^π |sin x| dx = 2 ∫₀^(π/2) sin x dx = 2[−cos x]₀^(π/2) = 2(0 − (−1)) = 2.

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