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Let f (x) be function defined on [0,1] ...

Let `f (x)` be function defined on `[0,1] ` such that `f (1)=0` and for any `a in (0,1], int _(0)^(a) f (x) dx - int _(a)^(1) f (x) dx =2 f (a) +3a +b` where b is constant.
b=

A

`(3)/(2e)-3`

B

`(3)/(2e)-(3)/(2)`

C

`(3)/(2e) +3`

D

`(3)/(2e)+ 3/2`

Text Solution

Verified by Experts

The correct Answer is:
A
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