Evaluate the following integral : `int_pi^(3pi//2)sqrt(1-cos)\ 2x\ dx`

Explanation

To evaluate the integral \( I = \int_{\pi}^{\frac{3\pi}{2}} \sqrt{1 - \cos 2x} \, dx \), we will follow these steps:

### Step 1: Simplify the integrand
We start by using the trigonometric identity:
\[ 1 - \cos 2x = 2 \sin^2 x \]
Thus, we can rewrite the integral as:
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