# Given f(0) = 1, f(2) = e2 also f'(x) = f'(2 – x), then the value of ∫02 f(x) dx is

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Given f(0) = 1, f(2) = e2 also f'(x) = f'(2 – x), then the value of $\int\limits_0^2$ f(x)dx is

(1) 1 – e2

(2) 1 + e2

(3) e

(4) e2