If f(x)=(2-xcosx)/(2+xcosx)andg(x)= "log...

If `f(x)=(2-xcosx)/(2+xcosx)andg(x)= "log"_(e)x, (xgt0)` then the value of the integral `int_(-pi//4)^(pi//4)g(f(x))` dx is

A

`log_e 3`

B

`log_e e`

C

`log_e 2`

D

`log_e 1`

Verified by Experts

The correct Answer is:

D

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