imo class 12 indefinite integration

The integral ∫ dx / (x² - a²) is equal to:

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The integral ∫ dx / (x² - a²) is equal to:

  • A. (1/2a) log|(x-a)/(x+a)| + C
  • B. (1/2a) log|(x+a)/(x-a)| + C
  • C. log|x + √(x²-a²)| + C
  • D. tan⁻¹(x/a) + C

Answer: A) (1/2a) log|(x-a)/(x+a)| + C

Explanation: Standard integral form for ∫ dx / (x² - a²).

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