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The value of integeral int(-loge 2)^(log...

The value of integeral `int_(-log_e 2)^(log_e 2) e^x(log_e(e^x+sqrt(1+e^(2x))))dx` is equal to

A

`log_e((2+sqrt5)^2/(sqrt(1+sqrt5)))+sqrt5/2`

B

`log_e((2(2+sqrt5))/(sqrt(1+sqrt5)))-sqrt5/2`

C

`log_e((sqrt2(3-sqrt5)^2)/(sqrt(1+sqrt5)))+sqrt5/2`

D

`log_e((sqrt2(2+sqrt5)^2)/(sqrt(1+sqrt5)))-sqrt5/2`

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