JEE PYQ: Definite Integration Question 5
Question 5 - 2021 (17 Mar Shift 2)
Let $f : \mathbb{R} \to \mathbb{R}$ be defined as $f(x) = e^{-x}\sin x$. If $F : [0, 1] \to \mathbb{R}$ is a differentiable function such that $F(x) = \int_0^x f(t),dt$, then the value of $\int_0^1 (F’(x) + f(x)),e^x,dx$ lies in the interval
(1) $\left[\dfrac{327}{360}, \dfrac{329}{360}\right]$
(2) $\left[\dfrac{330}{360}, \dfrac{331}{360}\right]$
(3) $\left[\dfrac{331}{360}, \dfrac{334}{360}\right]$
(4) $\left[\dfrac{335}{360}, \dfrac{336}{360}\right]$
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