Let f:R to R be defined as f(x)=e^(-x)si...

Let `f:R to R` be defined as `f(x)=e^(-x)sinx`. If `F:[0, 1] to R` is a differentiable function such that `F(x)=int_(0)^(x)f(t)dt`, then the vlaue of `int_(0)^(1)(F'(x)+f(x))e^(x)dx` lies in the interval

A

`[(330)/(360), (331)/(360)]`

B

`[(327)/(360), (329)/(360)]`

C

`[(335)/(360), (336)/(360)]`

D

`[(331)/(360), (334)/(360)]`

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