Find an anti derivative (or integral) of the following functions by the method of inspection.cos 3x

Explanation

To find an antiderivative (or integral) of the function \( \cos(3x) \), we can follow these steps:

### Step 1: Identify the function and its derivative
We know that the derivative of \( \sin(kx) \) is \( k \cos(kx) \) where \( k \) is a constant. In our case, we have \( k = 3 \).

### Step 2: Set up the integral
We need to find the integral of \( \cos(3x) \):
\[
...