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AP EAMCET202022 Sep 2020Morning ShiftMathematicsDefinite IntegrationActual

_ - / 2 ^ / 2 (2 |x|+ |x|) d x=

Options

  1. A3
  2. B6
  3. C8
  4. D2

Correct answer

B. 6

Step-by-step solution

aligned & (b) I= _ - / 2 ^ / 2 (2 |x|+ |x|) d x & =2 ₀^ / 2 (2 x+ x) d x & =2[-2 x+ x]₀^ / 2 & =2[(-2 0)+1-(-2 1)+0] & =2[1+2]=6 aligned

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