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MHT CET202410 May 2024Evening ShiftMathematicsDefinite IntegrationActual

₀^ 4 ( x+ x x ) d x=

Options

  1. A2 2
  2. B4 2
  3. C6 2
  4. D8 2

Correct answer

D. 8 2

Step-by-step solution

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