The value of the integral int(-1)^(1)log...

The value of the integral `int_(-1)^(1)log_(e)(sqrt(1-x)+sqrt(1+x))dx` is equal to :

A

`1/2 log_e 2 + pi/4 - 3/2`

B

`2 log_e 2 + pi/4 - 1`

C

`log_e 2 + pi/2 - 1`

D

`2 log_e 2 + pi/2 -1/2`

Verified by Experts

The correct Answer is:

C

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