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NDA2023MathematicsDefinite IntegrationActual

What is ₀^ 8 | x| d x equal to?

Options

  1. A2
  2. B4
  3. C8
  4. D16

Correct answer

D. 16

Step-by-step solution

Since, | x | is periodic function with period aligned & So, ₀^ 8 | x| d x=8 ₀^ | x| d x & =8 ₀^ | x| d x=0 & =8(- x)₀^ =8(+1+1)=16 aligned

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