JEE PYQ: Definite Integration Question 2
Question 2 - 2021 (16 Mar Shift 1)
Let $f : \mathbb{R} \to \mathbb{R}$ be a continuous function such that $f(x) + f(x + 1) = 2$, for all $x \in \mathbb{R}$. If
$I_1 = \int_0^8 f(x),dx$ and $I_2 = \int_{-1}^3 f(x),dx$, then the value of $I_1 + 2I_2$ is equal to ______.