Question: If $f(x)=\frac{2-x \cos x}{2+x \cos x}$ and $g(x)=\log _{e} x,(x>0)$ then
the value of integral $\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} g(f(x)) d x$ is :
$\log _{\mathrm{e}} 3
$\log _{\mathrm{e}} 2$
$\log _{\mathrm{e}} \mathrm{e}$
$\log _{\mathrm{e}} 1$
Correct Option: , 4
Solution:
