imo class 12 definite integration

If ∫₀¹ f(x) dx = 2 and ∫₀² f(x) dx = 5, then ∫₁² f(x) dx is:

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If ∫₀¹ f(x) dx = 2 and ∫₀² f(x) dx = 5, then ∫₁² f(x) dx is:

  • A. 3
  • B. 7
  • C. 10
  • D. −3

Answer: A) 3

Explanation: By additivity: ∫₀² = ∫₀¹ + ∫₁² → 5 = 2 + ∫₁² → ∫₁² = 3.

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