imo class 12 indefinite integration

∫(3x + 1)/(x² − x − 6) dx can be evaluated using partial fractions. The factors of the denominator are:

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∫(3x + 1)/(x² − x − 6) dx can be evaluated using partial fractions. The factors of the denominator are:

  • A. (x−2)(x+3)
  • B. (x−3)(x+2)
  • C. (x−1)(x+6)
  • D. (x+1)(x−6)

Answer: B) (x−3)(x+2)

Explanation: x² − x − 6 = (x−3)(x+2).

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