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The value of int(1)^(a)[x]f'(x)dx, where...

The value of `int_(1)^(a)[x]f'(x)dx`, where `agt1` and [x] denotes the greatest integer not exceeding x, is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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