MathematicsMedium210×since 2002Q3311Let f : R →\to→ R be defined as f(x) = e^−-−xsinx. If F : [0, 1] →\to→ R is a differentiable function with that F(x) = ∫0xf(t)dt\int_0^x {f(t)dt}∫0xf(t)dt, then the value of ∫01(F′(x)+f(x))exdx\int_0^1 {(F'(x) + f(x)){e^x}dx}∫01(F′(x)+f(x))exdx lies in the intervalA[331360,334360]\left[ {{{331} \over {360}},{{334} \over {360}}} \right][360331,360334]B[330360,331360]\left[ {{{330} \over {360}},{{331} \over {360}}} \right][360330,360331]C[335360,336360]\left[ {{{335} \over {360}},{{336} \over {360}}} \right][360335,360336]D[327360,329360]\left[ {{{327} \over {360}},{{329} \over {360}}} \right][360327,360329]Check answerSkip