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KCET2020MathematicsArea Under Curves

The value of _ -1 / 2 ^ 1 / 2 ⁻¹ x d x is

Options

  1. A2
  2. B1
  3. C² 2

Correct answer

B. 1

Step-by-step solution

We have, _ -1 / 2 ^ 1 / 2 ⁻¹ x d x= _ -1 / 2 ^ 1 / 2 ( / 2- ⁻¹ x ) d x= _ -1 / 2 ^ 1 / 2 / 2 d x- _ -1 / 2 ^ 1 / 2 ⁻¹ x d x= 2 _ -1 / 2 ^ 1 / 2 d x-0 ( ⁻¹ x . is odd function )= 2 [x]_ -1 / 2 ^ 1 / 2 = 2 [ 1 2 -(-1 / 2) ]= 2 (1)= 2

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