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MHT CET202312 May 2023Evening ShiftMathematicsDefinite IntegrationActual

The value of ₀^ | x- 2 x | d x is

Options

  1. A4
  2. B2
  3. C2

Correct answer

B. 2

Step-by-step solution

aligned & ₀^ | x- 2 x | d x & = ₀^ 2 ( x- 2 x ) d x+ _ 2 ^ ( 2 x - x ) d x & =[- x]₀^ 2 - [ x^2 ]₀^ 2 + [ x^2 ]_ 2 ^ +[ x]_ 2 ^ & =(0+1)- ( 4 -0 )+ ( - 4 )+(-1-0) & = 2 aligned

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