imo class 12 definite integration

Evaluate the definite integral ∫[0 to π/2] sin 2x dx.

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Evaluate the definite integral ∫[0 to π/2] sin 2x dx.

  • A. 0
  • B. 1/2
  • C. 1
  • D. 2

Answer: C) 1

Explanation: Anti-derivative is -cos(2x)/2. Evaluating from 0 to π/2: (-cos(π)/2) - (-cos(0)/2) = (-(-1)/2) - (-1/2) = 1/2 + 1/2 = 1.

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