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MHT CET202210 Aug 2022Evening ShiftMathematicsDefinite IntegrationActual

₀^2|2 x| d = (where [.] denotes the greatest integer function.)

Options

  1. A4
  2. B3
  3. C2
  4. D5

Correct answer

B. 3

Step-by-step solution

aligned & ₀^2[2 x] d x= ₀^ 1 / 2 0 ~d x+ _ 1 2 ^1 1 d x+ ₁^ 3 / 2 2 ~d x+ _ 3 2 ^2 3 ~d x & =0+ (1- 1 2 )+2 ( 3 2 -1 )+3 (2- 3 2 ) & =0+ 1 2 +2 1 2 +3 1 2 =3 aligned

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