Let f be derivable in [0, 1], then...

Let f be derivable in [0, 1], then

A

there exists `c in (0, 1)` such that `int_(0)^(c ) f(x) dx= (1- c) f(c )`

B

there does not exist any point `d in (0, 1)` for which `int_(0)^(d) f(x) dx= (1- d) f(d)`

C

`int_(0)^(c ) f(x)` does not exist, for any `c in (0, 1)`

D

`int_(0)^(c ) f(x) dx` is independent of `c, c in (0,1)`

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