Definite Integrals Part 1

Section: Mathematics

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Question : 76 of 100

Marks: +1, -0

The value of

∫

1

a[x]f′(x)‌dx,a>1 where [x] denotes the greatest integer not exceeding x is

[AIEEE 2006]

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

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