The value of int(-(pi)/(2))^((pi)/(2))(x...

The value of `int_(-(pi)/(2))^((pi)/(2))(x^(2)cosx)/(1+e^(x))dx` is

A

`(pi^(2))/(4)-2`

B

`(pi^(2))/(4)+2`

C

`pi^(2)-e^(-(pi)/(2))`

D

`pi^(2)+e^((pi)/(2))`

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