Evaluate the following integral: `int_0^pi(sinx)/(sinx+cosx)dx`

Explanation

To evaluate the integral \( I = \int_0^\pi \frac{\sin x}{\sin x + \cos x} \, dx \), we can use a symmetry property of definite integrals.

### Step 1: Use the substitution \( x = \pi - t \)
Let \( t = \pi - x \). Then, \( dx = -dt \). The limits change as follows:
- When \( x = 0 \), \( t = \pi \)
- When \( x = \pi \), \( t = 0 \)

Thus, the integral becomes:
...