imo class 12 indefinite integration

∫(dx)/(3x + 2) is:

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#IMO#Class 12#Mathematics#Indefinite Integration#mathematical-reasoning

∫(dx)/(3x + 2) is:

  • A. (1/3)ln|3x+2| + C
  • B. 3ln|3x+2| + C
  • C. ln|3x+2| + C
  • D. (1/3)ln|x| + C

Answer: A) (1/3)ln|3x+2| + C

Explanation: Substitute u = 3x+2, du = 3dx. ∫(du/3)/u = (1/3)ln|u| + C = (1/3)ln|3x+2| + C.

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