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int(0)^(pi//2)(sin^(n)x)/((sin^(n)x+cos^...

`int_(0)^(pi//2)(sin^(n)x)/((sin^(n)x+cos^(n)x))dx=?`

A

`(pi)/(2)`

B

`(pi)/(4)`

C

`1`

D

`0`

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