imo class 12 indefinite integration

Evaluate: ∫ dx / √(x² - 4)

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Evaluate: ∫ dx / √(x² - 4)

  • A. log|x + √(x² - 4)| + C
  • B. sin⁻¹(x/2) + C
  • C. (1/2) log|(x-2)/(x+2)| + C
  • D. log|x - √(x² - 4)| + C

Answer: A) log|x + √(x² - 4)| + C

Explanation: Standard form ∫ dx / √(x² - a²) = log|x + √(x² - a²)| + C. Here a = 2.

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