imo class 12 indefinite integration

∫dx/√(16 − x²) equals:

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∫dx/√(16 − x²) equals:

  • A. sin⁻¹(x/4) + C
  • B. cos⁻¹(x/4) + C
  • C. (1/4)sin⁻¹(x/4) + C
  • D. tan⁻¹(x/4) + C

Answer: A) sin⁻¹(x/4) + C

Explanation: Standard integral ∫dx/√(a² − x²) = sin⁻¹(x/a) + C. Here a = 4.

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