Find the Definite Integrals : `int_0^(pi/4) sqrt(1-sin2x) dx `

Explanation

To solve the definite integral \( \int_0^{\frac{\pi}{4}} \sqrt{1 - \sin 2x} \, dx \), we will follow these steps:

### Step 1: Simplify the integrand
We start with the expression inside the square root:
\[ 1 - \sin 2x \]
Using the identity \( \sin 2x = 2 \sin x \cos x \), we can rewrite it as:
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