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int (sin 2x- 4e^(3x))dx...

`int (sin 2x- 4e^(3x))dx`

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To solve the integral \( \int (\sin 2x - 4e^{3x}) \, dx \), we can break it down into two separate integrals. Let's go through the steps one by one. ### Step 1: Split the Integral We start by rewriting the integral: \[ I = \int (\sin 2x - 4e^{3x}) \, dx = \int \sin 2x \, dx - \int 4e^{3x} \, dx \] ...
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