imo class 12 indefinite integration

Evaluate: ∫ 1/(1 + x²) dx

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Evaluate: ∫ 1/(1 + x²) dx

  • A. sin⁻¹ x + C
  • B. log|1 + x²| + C
  • C. tan⁻¹ x + C
  • D. sec⁻¹ x + C

Answer: C) tan⁻¹ x + C

Explanation: The derivative of tan⁻¹ x is 1/(1 + x²), hence its integral is tan⁻¹ x + C.

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