imo class 12 indefinite integration

Evaluate ∫(3eˣ + 2/x) dx.

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Evaluate ∫(3eˣ + 2/x) dx.

  • A. 3eˣ + 2ln|x| + C
  • B. 3eˣ + 2/x² + C
  • C. eˣ + 2ln|x| + C
  • D. 3eˣ − 2ln|x| + C

Answer: A) 3eˣ + 2ln|x| + C

Explanation: ∫3eˣ dx = 3eˣ, and ∫2/x dx = 2ln|x|. Result is 3eˣ + 2ln|x| + C.

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