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The value of int(-pi/2)^(pi/2) ((1+sin...

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

A

`(5pi)/4`

B

`(3pi)/4`

C

`(pi)/2`

D

`(3pi)/2`

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