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By using the properties of definite int...

By using the properties of definite integrals, evaluate the integrals`int_0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx`

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`I=int_0^(pi/2)sqrt(sinx)/(sqrt(sinx) ​+sqrt(cosx))dx....(1)`
=`int_0^(pi/2)sqrt(sin(pi/2-x))/(sqrt(sin(pi/2-x)) ​+sqrt(cosx(pi/2-x)))dx. `
`I=int_0^(pi/2)sqrt(cosx)/(sqrt(sinx) ​+sqrt(cosx))dx. ​​....(2)`
Adding equation (1) and (2), ...
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