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The value of int(0)^(pi//2) ((cos x)^(si...

The value of `int_(0)^(pi//2) ((cos x)^(sin x))/((cos x)^(sin x) + (sin x)^(cos x)) dx` is

A

`pi//4`

B

0

C

`pi//2`

D

`""^(1)//2`

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