Evaluate: `int(x^7)/(x+1)\ dx`

Explanation

To evaluate the integral \(\int \frac{x^7}{x+1} \, dx\), we can use the substitution method. Here is a step-by-step solution:

### Step 1: Substitution
Let \( t = x + 1 \). Then, we have:
\[ x = t - 1 \]
Differentiating both sides gives:
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