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

`f'(x)=f(x)+int_(0)^(1)f(x)dx` and `f(0)=1`, then f f(x)dx is equal to

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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