imo class 12 definite integration

∫₀² [x] dx, where [x] denotes greatest integer function, equals:

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∫₀² [x] dx, where [x] denotes greatest integer function, equals:

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Answer: A) 1

Explanation: ∫₀² [x] dx = ∫₀¹ 0 dx + ∫₁² 1 dx = 0 + 1 = 1.

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