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If $f(x) = \dfrac{2 - x\cos x}{2 + x\cos x}$ and $g(x) = \log_e x$, $(x > 0)$ then the value of the integral $\int_{-\pi/4}^{\pi/4} g(f(x)),dx$ is:
(1) $\log_e 3$
(2) $\log_e e$
(3) $\log_e 2$
(4) $\log_e 1$
BETA
