By using the properties of definite integrals, evaluate the integrals`int_0^a(sqrt(x))/(sqrt(x)+sqrt(a-x))dx`

Explanation

To evaluate the integral \( I = \int_0^a \frac{\sqrt{x}}{\sqrt{x} + \sqrt{a - x}} \, dx \) using the properties of definite integrals, we can follow these steps:

### Step 1: Define the Integral
Let
\[ I = \int_0^a \frac{\sqrt{x}}{\sqrt{x} + \sqrt{a - x}} \, dx \]

...