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NDA2018MathematicsDefinite IntegrationActual

What is _a^b[x] d x+ _a^b[-x] d x equal to, where[.] is the greatest integer function?

Options

  1. Ab-a
  2. Ba-b
  3. C0
  4. D2(b-a)

Correct answer

B. a-b

Step-by-step solution

aligned & _a^b[x] d x+ _a^b[-x] d x & = _a^b([x]+[-x]) d x= _a^b(-1) d x=a-b aligned

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