ENGINEERING MATHEMATICS GATE CS PYQ 2024

Let 𝑓(𝑥) be a continuous function from ℝ to ℝ such that
𝑓(𝑥) = 1 − 𝑓(2 − 𝑥)
Which one of the following options is the CORRECT value of ∫ 𝑓(𝑥)𝑑𝑥
?
(A) 0
(B) 1
(C) 2
(D) −1