imo class 12 definite integration

∫₀² (x − 1)(x − 2) dx equals:

VAVidaara Admin Asked 6d ago 0 views 0 answers

∫₀² (x − 1)(x − 2) dx equals:

  • A. −2/3
  • B. 2/3
  • C. 0
  • D. 4/3

Answer: B) 2/3

Explanation: Expand: (x−1)(x−2) = x² − 3x + 2. Integrate: [x³/3 − 3x²/2 + 2x]₀² = (8/3 − 6 + 4) − 0 = 8/3 − 2 = 2/3.

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