imo class 12 indefinite integration

∫dx/√(x² − 25) equals:

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∫dx/√(x² − 25) equals:

  • A. ln|x + √(x²−25)| + C
  • B. sin⁻¹(x/5) + C
  • C. (1/5)sec⁻¹(x/5) + C
  • D. cosh⁻¹(x/5) + C

Answer: A) ln|x + √(x²−25)| + C

Explanation: Standard result ∫dx/√(x² − a²) = ln|x + √(x² − a²)| + C. Here a = 5.

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