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int(0)^(pi//2)(dx)/(1+e^(sqrt(2)cos(x+(p...

`int_(0)^(pi//2)(dx)/(1+e^(sqrt(2)cos(x+(pi)/(4))))` is equal to

A

`pi//3`

B

`pi//4`

C

`pi//6`

D

none of these

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If int_(0)^(pi)((x)/(1+sinx))^(2) dx=A, then the value for int_(0)^(pi)(2x^(2). cos^(2)x//2)/((1+ sin x^(2)))dx is equal to