imo class 12 definite integration

Evaluate ∫[0 to π/2] cos x dx.

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#IMO#Class 12#Mathematics#Definite Integration#mathematical-reasoning

Evaluate ∫[0 to π/2] cos x dx.

  • A. -1
  • B. 0
  • C. 1
  • D. π/2

Answer: C) 1

Explanation: The anti-derivative of cos x is sin x. Evaluating from 0 to π/2: sin(π/2) - sin(0) = 1 - 0 = 1.

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