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NDA2016MathematicsDefinite IntegrationActual

What is ₀^ 4 | x | dx equal to?

Options

  1. A0
  2. B2
  3. C4
  4. D8

Correct answer

D. 8

Step-by-step solution

aligned ₀^ 4 | x| d x & =4 ₀^ | x| d x & =4 [ ₀^ / 2 x d x- _ / 2 ^ x d x ] aligned aligned & =4 [( x)₀^ / 2 -( x)_ / 2 ^ ] & =4 [ 2 -0- + 2 ] & =4 [2 2 ]=8 aligned

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