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e^(3x).sin4x...

`e^(3x).sin4x`

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To solve the integral \( \int e^{3x} \sin(4x) \, dx \), we will use the method of integration by parts, specifically the formula for repeated integration by parts. ### Step-by-Step Solution: 1. **Set Up the Integral**: Let \( I = \int e^{3x} \sin(4x) \, dx \). 2. **Apply Integration by Parts**: ...
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