imo class 12 indefinite integration

∫(x + 1/x) dx is equal to:

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∫(x + 1/x) dx is equal to:

  • A. x²/2 + ln|x| + C
  • B. x²/2 − 1/x² + C
  • C. 1 − 1/x² + C
  • D. x²/2 + 1/x² + C

Answer: A) x²/2 + ln|x| + C

Explanation: ∫x dx = x²/2 and ∫(1/x) dx = ln|x|. So the integral is x²/2 + ln|x| + C.

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