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If int(0)^(pi)((x)/(1+sinx))^(2) dx=A, t...

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

A

`A`

B

`A+2pi`

C

`A+2pi-pi^(2)`

D

`A+2pi-2pi^(2)`

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