Integrate the following w.r.t x
`cos^(2)(x//2)`

Explanation

To solve the integral of \( \cos^2\left(\frac{x}{2}\right) \) with respect to \( x \), we can follow these steps:

### Step 1: Use the Trigonometric Identity
We can use the trigonometric identity for cosine squared:
\[ \cos^2 \theta = \frac{1 + \cos(2\theta)}{2} \]
In our case, let \( \theta = \frac{x}{2} \). Therefore, we have:
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