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MHT CET20228 Aug 2022Evening ShiftMathematicsDefinite IntegrationActual

₀^ / 4 1- 2 x d x=

Options

  1. A2 +1
  2. B1+2 2
  3. C2 -1
  4. D2 2 -1

Correct answer

C. 2 -1

Step-by-step solution

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

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