Evaluate: `int(x^5)/(x+1)\ dx`

Explanation

To evaluate the integral \(\int \frac{x^5}{x+1} \, dx\), we will use substitution and polynomial long division. Here’s the step-by-step solution:

### Step 1: Polynomial Long Division
First, we perform polynomial long division on \(\frac{x^5}{x+1}\).

1. Divide \(x^5\) by \(x\) to get \(x^4\).
2. Multiply \(x^4\) by \(x + 1\) to get \(x^5 + x^4\).
3. Subtract \(x^5 + x^4\) from \(x^5\) to get \(-x^4\).
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