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AP EAMCET202123 Aug 2021Morning ShiftMathematicsDefinite IntegrationActual

_ -1 ^1 |x| x d x is equal to

Options

  1. A1
  2. B-1
  3. C0
  4. D1 2

Correct answer

C. 0

Step-by-step solution

aligned _ -1 ^1 |x| x d x & =1 f(x) & = |x| x = array cc - x x , & x 0 array = array cc -1, & x 0 array . . I & = _ -1 ^0(-1) d x+ ₀^1(1) d x & =[-x]_ -1 ^0+[x]₀^1=-1+1=0 aligned

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