JEE Math Practice Question

Let f(x) be a differentiable function defined on [0, 2] such that f'(x) = f'(2 $$-$$ x) for all x$$ \in $$ (0, 2), f(0) = 1 and f(2) = e2. Then the value of $$\int\limits_0^2 {f(x)} dx$$ is :

1. A.1 + e2
2. B.2(1 + e2)
3. C.1 $$-$$ e2
4. D.2(1 $$-$$ e2)