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

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

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Verified by Experts

`I=int_{pi / 6}^{pi / 3} frac{sqrt{sin x}}{sqrt{sin x+sqrt{cos x}}} d x`………..(1)
We know,
` int_{a}^{b} f(x)=int_{a}^{b} f(a+b-x)`
Using this property,
` ...
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