Evaluate `int_(-1)^(1){x}dx`, `{x}` is fractional part function.

Explanation

To evaluate the integral \(\int_{-1}^{1} \{x\} \, dx\), where \(\{x\}\) is the fractional part function, we can follow these steps:

### Step 1: Understand the Fractional Part Function
The fractional part function \(\{x\}\) can be expressed as:
\[ \{x\} = x - \lfloor x \rfloor \]
where \(\lfloor x \rfloor\) is the greatest integer less than or equal to \(x\).
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