imo class 12 definite integration

Evaluate ∫₀^(π/2) sin 2x dx.

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Evaluate ∫₀^(π/2) sin 2x dx.

  • A. 0
  • B. 1
  • C. 2
  • D. 1/2

Answer: B) 1

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

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