Find an anti derivative (or integral) of the following functions by the method of inspection.`sin2x-4e^(3x)`

Explanation

To find an antiderivative (or integral) of the function \( \sin(2x) - 4e^{3x} \), we can proceed as follows:

### Step 1: Identify the antiderivative of \( \sin(2x) \)

The integral of \( \sin(kx) \) is given by:
\[ \int \sin(kx) \, dx = -\frac{1}{k} \cos(kx) + C \]
...