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int (4e^(3x) +1)dx...

`int (4e^(3x) +1)dx`

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To solve the integral \( \int (4e^{3x} + 1) \, dx \), we can break it down into simpler parts and use substitution where necessary. Here’s a step-by-step solution: ### Step 1: Break down the integral We can separate the integral into two parts: \[ \int (4e^{3x} + 1) \, dx = \int 4e^{3x} \, dx + \int 1 \, dx \] ...
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