Integrate: `intsin4xcos7x\ dx`

Explanation

To solve the integral \( \int \sin(4x) \cos(7x) \, dx \), we can use the product-to-sum identities. The identity we will use is:

\[ \sin(a) \cos(b) = \frac{1}{2} [\sin(a + b) + \sin(a - b)] \]

### Step-by-step Solution:

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