Let f(x) be a differentiable function defined on [0, 2] such that f'(x) = f'(2–x) for all x (0,2), f(0)=1 and...

Question

Let f(x) be a differentiable function defined on [0, 2] such that f'(x) = f'(2–x) for all x (0,2), f(0)=1 and f(2) = e^2. Then the value of _0^2f(x)dx is :

Accepted Answer

(B)

JEE Main 2021 Mathematics question

Solution