Let f: R → R be a continuous function such that f(x) + f(x + 1) = 2, for all x R. If I₁ = ∫₀⁸ f(x)dx and I₂ = ∫₋₁³ f(x)dx, then the value of I₁ + 2I₂ is equal to _ _ _ _ _ _.

Integral Calculus: JEE Main 2021 Mathematics question

JEE Main 2021 · 16 Mar, Morning shift · Q32

JEE Main 202116 Mar, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

Let f : R

\to

R be a continuous function such that f(x) + f(x + 1) = 2, for all x

\in

R. If

{I_1} = \int\limits_0^8 {f(x)dx}

and

{I_2} = \int\limits_{ - 1}^3 {f(x)dx}

, then the value of I₁ + 2I₂ is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 Integral Calculus Question with Answer (16 Mar Morning shift, Q32) | JEE Arc