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NDA2018MathematicsDefinite IntegrationActual

What is _ -1 ^1 d d x ( ⁻¹ 1 x ) d x equal to?

Options

  1. A0
  2. B- 4
  3. C- 2
  4. D2

Correct answer

C. - 2

Step-by-step solution

aligned & _ -1 ^1 ( d d x ⁻¹ 1 x ) d x & = _ -1 ^1 ( d d x ⁻¹ x ) d x & = _ -1 ^1 -1 (1+x^2 ) d x=-2 ₀^1 1 1+x^2 d x & =-2 [ ⁻¹ x ]₀^1=-2 4 =- 2 aligned

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