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NDA2022MathematicsDefinite IntegrationActual

What is _ -2 ⁻¹ x |x| d x equal to?

Options

  1. A-2
  2. B-1
  3. C1
  4. D2

Correct answer

B. -1

Step-by-step solution

aligned & _ -2 ⁻¹ x | x | dx & = _ -2 ⁻¹ x - x dx & =- _ -2 ⁻¹ dx =-[ x ]_ -2 ⁻¹ & =- (-1)-(-2) =-1 aligned

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