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NDA2019MathematicsDefinite IntegrationActual

₀^ 2 | x- x| d x is equal to

Options

  1. A0
  2. B2( 2 -1)
  3. C2 2
  4. D2( 2 +1)

Correct answer

B. 2( 2 -1)

Step-by-step solution

₀^ 2 | x- x| d x aligned & = ₀^ 4 |( x- x)| d x+ _ 4 ^ 2 |( x- x)| d x & = ₀^ 4 ( x- x) d x+ _ 4 ^ 2 ( x- x) d x & =( x+ x)₀^ 4 +(- x- x)_ 2 ^ 2 & =2 2 -2=2( 2 -1) aligned

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