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Let f(x)=int(0)^(x)(sin^(100)t)/(sin^(10...

Let `f(x)=int_(0)^(x)(sin^(100)t)/(sin^(100)t+cos^(100)t)dt`, then `f(2pi)=`

A

`2f((pi)/(2))`

B

`4f((pi)/(2))`

C

`f((pi)/(2))`

D

`3f((pi)/(2))`

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