imo class 12 application of integrals

What is the area bounded by the curve y = sin(x) and the x-axis from x = 0 to x = π?

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What is the area bounded by the curve y = sin(x) and the x-axis from x = 0 to x = π?

  • A. 2
  • B. 1
  • C. 0
  • D. π

Answer: A) 2

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

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