Using the properties of definite integral Evaluate : `int_0^(pi/2) sinx /(sinx + cosx) dx `

Explanation

To evaluate the definite integral \( I = \int_0^{\frac{\pi}{2}} \frac{\sin x}{\sin x + \cos x} \, dx \), we can use the properties of definite integrals. Here’s a step-by-step solution:

### Step 1: Define the Integral
Let
\[ I = \int_0^{\frac{\pi}{2}} \frac{\sin x}{\sin x + \cos x} \, dx \]

...