Evaluate: `int(x^6)/(x-1)\ dx`

Explanation

To evaluate the integral \( \int \frac{x^6}{x-1} \, dx \), we can follow these steps:

### Step 1: Rewrite the integrand
We start by rewriting the integrand to make it easier to integrate. We can express \( \frac{x^6}{x-1} \) as follows:
\[ \frac{x^6}{x-1} = \frac{x^6 - 1 + 1}{x-1} = \frac{x^6 - 1}{x-1} + \frac{1}{x-1} \]
This allows us to separate the integral into two parts:
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