Evaluate : `int ("cos 2x ")/(sqrt(1+ "sin" 2x))" dx "`

Explanation

To evaluate the integral \( \int \frac{\cos 2x}{\sqrt{1 + \sin 2x}} \, dx \), we can follow these steps:

### Step 1: Use Trigonometric Identities
Recall the trigonometric identities:
- \( \cos 2x = \cos^2 x - \sin^2 x \)
- \( \sin 2x = 2 \sin x \cos x \)

### Step 2: Substitute the Identities
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