Evaluate `int_(-3)^(5) e^({x})dx`, where `{.}` denotes the fractional part functions.

Explanation

To evaluate the integral \( I = \int_{-3}^{5} e^{\{x\}} \, dx \), where \( \{x\} \) denotes the fractional part of \( x \), we can follow these steps:

### Step 1: Understand the fractional part function
The fractional part function \( \{x\} \) is defined as:
\[ \{x\} = x - \lfloor x \rfloor \]
This means that \( \{x\} \) takes the value of \( x \) minus the greatest integer less than or equal to \( x \). The function is periodic with a period of 1.
...