imo class 12 indefinite integration

Find ∫ eˣ (1/x - 1/x²) dx

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Find ∫ eˣ (1/x - 1/x²) dx

  • A. eˣ / x + C
  • B. eˣ / x² + C
  • C. -eˣ / x + C
  • D. eˣ log x + C

Answer: A) eˣ / x + C

Explanation: This follows the standard form ∫ eˣ [f(x) + f'(x)] dx = eˣ f(x) + C. Here f(x) = 1/x, f'(x) = -1/x².

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