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Integrate the functions cos 2x cos 4x co...

Integrate the functions `cos 2x cos 4x cos 6x`

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To integrate the function \( \cos(2x) \cos(4x) \cos(6x) \), we will use trigonometric identities to simplify the expression before integrating. Here is the step-by-step solution: ### Step 1: Use the Product-to-Sum Formula We start with the expression \( \cos(2x) \cos(4x) \cos(6x) \). We can use the product-to-sum identities to simplify the product of cosines. Using the identity: \[ \cos A \cos B = \frac{1}{2} \left( \cos(A + B) + \cos(A - B) \right) ...
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