Evaluate: `int_(pi//4)^(pi//4)log(sinx+cosx)dx`

Explanation

To evaluate the integral

\[ I = \int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \log(\sin x + \cos x) \, dx, \]

we can use the property of definite integrals which states that if \( f(x) \) is continuous on the interval \([-a, a]\), then:

...