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int0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt...

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

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To solve the integral \[ I = \int_0^{\frac{\pi}{2}} \frac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} \, dx, \] we can use the property of definite integrals, which states that ...
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