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If int(pi//6)^(pi//3)(sqrt(sinx))/(sqrt(...

If `int_(pi//6)^(pi//3)(sqrt(sinx))/(sqrt(cosx)+sqrt(sinx))dx=(k)/(4)`, then value of k equals

A

`(pi)/(12)`

B

`(pi)/(3)`

C

`(pi)/(2)`

D

`(pi)/(7)`

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