Integrate: `intcos4xcos3x\ dx`

Explanation

To solve the integral \( \int \cos(4x) \cos(3x) \, dx \), we can use the product-to-sum identities. The specific identity we will use is:

\[ \cos A \cos B = \frac{1}{2} \left( \cos(A + B) + \cos(A - B) \right) \]

### Step-by-Step Solution:

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