imo class 12 definite integration

If ∫₀ᵃ dx/(1 + x²) = π/6, then a equals:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If ∫₀ᵃ dx/(1 + x²) = π/6, then a equals:

  • A. √3
  • B. 1/√3
  • C. 1
  • D. √2

Answer: B) 1/√3

Explanation: ∫₀ᵃ dx/(1+x²) = tan⁻¹ a = π/6 → a = tan(π/6) = 1/√3.

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