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[x] denote the greatest integer function...

[x] denote the greatest integer function.
The value of `int_(1)^(a)[x]f^(')(x)dx,agt1` is-

A

`af([a])-{f(1)+f(2)+...+f(a)}`

B

`af(a)-{f(1)+f(2)+...+f([a])}`

C

`[a]f(a)-{f(1)+f(2)+...+f([a])}`

D

`[a]f([a])-{f(1)+f(2)+...+f(a)}`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest integer function, then the value of f((pi)/(2)) is-

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