Let f : R R be defined as f(x) = e^ -x x. If F : [0, 1] R is a differentiable function such that F(x) =...

Question

Let f : R R be defined as f(x) = e^ -x x. If F : [0, 1] R is a differentiable function such that F(x) = _0^xf(t)dt, then the value of _0^1(F'(x)+f(x))e^xdx lies in the interval

Accepted Answer

(B)

JEE Main 2021 Mathematics question

Solution