Evaluate: `int(7x-2)sqrt(3x+2)\ dx`

Explanation

To evaluate the integral \( \int (7x - 2) \sqrt{3x + 2} \, dx \), we will use substitution and integration techniques. Here is the step-by-step solution:

### Step 1: Substitution
Let \( u = 3x + 2 \). Then, the derivative \( du = 3 \, dx \) or \( dx = \frac{du}{3} \). Also, we can express \( x \) in terms of \( u \):
\[ x = \frac{u - 2}{3} \]

...