Find the integral`int(x^3-x^2+x-1)/(x-1)dx`

Explanation

To solve the integral \(\int \frac{x^3 - x^2 + x - 1}{x - 1} \, dx\), we will first simplify the integrand by performing polynomial long division.

### Step 1: Polynomial Long Division
We need to divide \(x^3 - x^2 + x - 1\) by \(x - 1\).

1. **Divide the leading term**: \(x^3 \div x = x^2\).
2. **Multiply**: \(x^2(x - 1) = x^3 - x^2\).
3. **Subtract**:
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