Evaluate `int e^(2x) sin 3x dx`.

Explanation

To evaluate the integral \(\int e^{2x} \sin 3x \, dx\), we will use the method of integration by parts.

### Step-by-Step Solution:

1. **Identify \(u\) and \(dv\)**:
We choose:
\[
u = \sin 3x \quad \text{and} \quad dv = e^{2x} \, dx
...