If f'(x) = f(x)+ int (0)^(1)f (x) dx and...

If `f'(x) = f(x)+ int _(0)^(1)f (x)` dx and given `f (0) =1,` then `int f (x) dx` is equal to :

A

`(e^(x))/(2-e)+((1+e)/(1-e))`

B

`(2e^(x))/(3-e)+((1-e)/(3-e))`

C

`(e^(x))/(2-e)`

D

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

Verified by Experts

The correct Answer is:

B

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