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. cos⁻¹ x + C
  • C. tan⁻¹ x + C
  • D. log|1 - x²| + C

Answer: A) sin⁻¹ x + C

Explanation: This is a standard fundamental formula. The derivative of sin⁻¹ x is 1/√(1 - x²).

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