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JEE Main2012MathematicsDefinite IntegrationActual

The value of the integral ₀^ 0.9 [x-2[x]] d x , where [.] denotes the greatest integer function is

Options

  1. A0.9
  2. B1.8
  3. C-0.9
  4. D0

Correct answer

D. 0

Step-by-step solution

Since ₀^a[x]=0 where 0 a 1 ₀^ 0.9 [x-2[x]] d x=0

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