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KVPY2010MathematicsDefinite Integration

The value of ₀^ 2 |x- |, ⁻¹( x) d x is-

Options

  1. A² 4
  2. B² 2
  3. C² 8
  4. D²

Correct answer

B. ² 2

Step-by-step solution

array l I= ₀^ / 2 x d x+ _ / 2 ^ ( -x) d x+ _ ^ 3 / 2 (x- ) d x+ _ 3 / 2 ^ 2 2 -x d x ² 8 + ² 8 + ² 8 + ² 8 = ² 2 array

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