imo class 12 indefinite integration

∫dx/√(x² + 9) is equal to:

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∫dx/√(x² + 9) is equal to:

  • A. ln|x + √(x²+9)| + C
  • B. sinh⁻¹(x/3) + C
  • C. Both 0 and 1
  • D. tan⁻¹(x/3) + C

Answer: C) Both 0 and 1

Explanation: ∫dx/√(x² + a²) = ln|x + √(x² + a²)| + C or sinh⁻¹(x/a) + C. Both forms are equivalent.

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