Evaluate the following :
`int_(0)^(9)(sqrtx)/(sqrtx+sqrt(9-x))dx`

Explanation

To evaluate the integral

\[ I = \int_{0}^{9} \frac{\sqrt{x}}{\sqrt{x} + \sqrt{9 - x}} \, dx, \]

we can use the property of definite integrals that states:

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