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MHT CET202120 Sep 2021Morning ShiftMathematicsDefinite IntegrationActual

₀^ / 4 (1+ x) d x=

Options

  1. A16 2
  2. B4 2
  3. C8 2
  4. D2

Correct answer

C. 8 2

Step-by-step solution

aligned & Let I= ₀^ / 4 (1+ x) d x & = ₀^ / 4 [1+ ( 4 -x ) ] d x & = ₀^ / 4 [1+ ( 1- x 1+ x ) ] d x= ₀^ / 4 ( 2 1+ x ) d x & = ₀^ / 4 ( 2) d x- ₀^ / 4 (1+ x) d x= ₀^ / 4 ( 2) d x-I & 2 I=( 2)[x]₀^ / 4 =( 2) ( 4 ) I= ( 8 ) 2 aligned

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