Let f:R R be a continuous function such that f(x) + f(x + 1) = 2, for all x . If I_1= _0^8f(x)dx I_2= _ -1...

Question

Let f:R R be a continuous function such that f(x) + f(x + 1) = 2, for all x . If I_1= _0^8f(x)dx I_2= _ -1 ^3f(x)dx, then the value of I_1+2I_2 is equal to ________.

Accepted Answer

16

JEE Main 2021 Mathematics question

Solution