Let 𝑓(π‘₯) be a continuous function from ℝ to ℝ such that 𝑓(π‘₯) = 1 βˆ’ 𝑓(2 βˆ’β€¦

GATE Β· 2024 Β· CS Β· Set 2 Β· Computer Science & IT

Let 𝑓(π‘₯) be a continuous function from ℝ to ℝ such that

                𝑓(π‘₯) = 1 βˆ’ 𝑓(2 βˆ’ π‘₯)

Which one of the following options is the CORRECT value of ∫02𝑓(π‘₯)𝑑π‘₯∫_0^2 𝑓(π‘₯)𝑑π‘₯?

  1. A.

    0

  2. B.

    1

  3. C.

    2

  4. D.

    βˆ’1

Attempted by 62 students.

Sign up free to check your answer

Sign up free

Explore the full course: Aptitude For Gate

Loading lesson…