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MHT CET202411 May 2024Evening ShiftMathematicsDefinite IntegrationActual

If I= ₀^ 4 (1+ x) d x , then value of I is

Options

  1. A16 2
  2. B2 2
  3. C8 2
  4. D4 2

Correct answer

C. 8 2

Step-by-step solution

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

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