sin 4x sin 8x...

`sin 4x sin 8x`

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To solve the integral \( \int \sin(4x) \sin(8x) \, dx \), we will use a trigonometric identity to simplify the expression. Here’s the step-by-step solution: ### Step 1: Set up the integral Let: \[ I = \int \sin(4x) \sin(8x) \, dx \] ...

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