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AP EAMCET202420 May 2024Evening ShiftMathematicsDefinite IntegrationActual

₀^ / 2 1 1+ x d x=

Options

  1. A0
  2. B2
  3. C3
  4. D4

Correct answer

D. 4

Step-by-step solution

I = ₀^ 2 1 1+ x d x .... (i) I= ₀^ 2 1 1+ ( 2 -x ) d x I = ₀^ 2 1 1+ x d x= ₀^ 2 x 1+ x d x .... (ii) Adding (i) and (ii) 2 I = ₀^ 2 1+ x 1+ x d x= 2 I = 4

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