Find the following integral (using partial fraction method)
`int (3x-1)/(x+2)^3 dx`

Explanation

To solve the integral \(\int \frac{3x-1}{(x+2)^3} \, dx\) using the partial fraction method, we will follow these steps:

### Step 1: Express the integrand in terms of partial fractions
We want to express \(\frac{3x-1}{(x+2)^3}\) in the form:
\[ \frac{A}{(x+2)} + \frac{B}{(x+2)^2} + \frac{C}{(x+2)^3} \]
where \(A\), \(B\), and \(C\) are constants to be determined.
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