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Evaluate of each of the following int...

Evaluate of each of the following integrals (1-15): `int_(pi//6)^(pi//3)(sqrt("sin"x))/(sqrt(sinx)+sqrt(cosx))"d"x`

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Evaluate of each of the following integral: int_(pi//6)^(pi//3)1/(1+sqrt(tanx))dx

int_0^(pi/2) sqrt(sinx)/(sqrt(sinx)+sqrt(cosx))dx

int_(0)^((pi)/(2))(sqrt(sin x))/(sqrt(sin x)+sqrt(cos x))dx

Evalaute int_(pi//6)^(pi//3)(sqrt((sinx))dx)/(sqrt((sinx))+sqrt((cosx)))

int_(0)^(pi//2)(sqrt(sinx))/((sqrt(sinx)+sqrt(cosx)))dx=(pi)/(4)

int_(0)^(pi//2) sqrt(sin x)/(sqrt(sin x ) + sqrt( cos x)) dx =

int_((pi)/(6))^((pi)/(3))(sqrt(tan x))/(sqrt(tan x)+sqrt(cot x))dx

int_(0)^(pi//2)(sqrt(cosx))/((sqrt(cosx)+sqrt(sinx)))dx=?

int_((pi)/(18))^((4pi)/(9))(2sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx= . . .

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