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 can start by simplifying the integrand.

### Step 1: Simplify the integrand
We can perform polynomial long division on the numerator \(x^3 - x^2 + x - 1\) by the denominator \(x - 1\).

1. Divide \(x^3\) by \(x\), which gives \(x^2\).
2. Multiply \(x^2\) by \(x - 1\) to get \(x^3 - x^2\).
3. Subtract this from the original polynomial:
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