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NDA2012MathematicsDefinite IntegrationActual

What is _ - 2 ^ 2 | x| d x equal to?

Options

  1. A2
  2. B1
  3. Cp
  4. D0

Correct answer

A. 2

Step-by-step solution

aligned & _ - 2 ^ 2 | x| d x & | x|= cases x & 0 x 2 - x & - 2 x 0 cases & 2 aligned aligned & = _ - 2 ^0- x d x+ ₀^ x d x & =-[- x]_ - / 2 ^0+(- x) ₀^ / 2 & =( 0- (- / 2)+(- / 2-(- 0)) & =(1-0)+(-0+1)=2 . aligned

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