imo class 12 indefinite integration

The integral ∫ dx / √(a² - x²) is equal to:

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The integral ∫ dx / √(a² - x²) is equal to:

  • A. sin⁻¹(x/a) + C
  • B. cos⁻¹(x/a) + C
  • C. (1/a) sin⁻¹(x/a) + C
  • D. log|x + √(a²-x²)| + C

Answer: A) sin⁻¹(x/a) + C

Explanation: Standard integral form, representing the inverse sine function.

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