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JEE Main2006MathematicsDefinite IntegrationActual

The value of ₁^a[x] f^ (x) d x, a>1 , where [x] denotes the greatest integer not exceeding x is

Options

  1. Aaf (a)- f(1)+f(2)+ +f([a])
  2. B[a] f(a)- f(1)+f(2)+ +f([a])
  3. C[a] f([a])- f(1)+f(2)+ +f(a)
  4. Da f([a])- f(1)+f(2)+ +f(a)

Correct answer

B. [a] f(a)- f(1)+f(2)+ +f([a])

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