Evaluate the following integral: `int_1^3|x^2-2x|dx`

Explanation

To evaluate the integral \( \int_1^3 |x^2 - 2x| \, dx \), we first need to determine where the expression inside the absolute value, \( x^2 - 2x \), changes sign.

### Step 1: Find the roots of \( x^2 - 2x \)
Set the expression equal to zero:
\[ x^2 - 2x = 0 \]
Factoring gives:
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