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MHT CET202210 Aug 2022Evening ShiftMathematicsDefinite IntegrationActual

₀^ / 2 ^5 ( x 2 ) x d x=

Options

  1. A1 7 2
  2. B1 56 2
  3. C1 14 2
  4. D1 28 2

Correct answer

C. 1 14 2

Step-by-step solution

aligned & ₀^ / 2 ^5 x 2 x ~d x & = ₀^ / 2 ^5 x 2 2 x 2 x 2 ~d x & =2 ₀^ / 2 ^6 x 2 x 2 d x & 1 2 & =4 ₀^6 t^6 ~d t= 4 7 [t^7 ]₀^ 1 2 [ let x 2 =t ] aligned = 4 7 ( 1 2 )^7= 1 14 2

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