imo class 12 indefinite integration

Evaluate ∫(ln x)/x dx.

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Evaluate ∫(ln x)/x dx.

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

Answer: A) (ln x)²/2 + C

Explanation: Let u = ln x, du = (1/x) dx. ∫u du = u²/2 + C = (ln x)²/2 + C.

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