It seems like you're trying to write an integral expression. Based on the formatting, I'm interpreting your input as the integral of a function involving \( x \) with respect to \( x \). Here's how it might be written more formally:

\[
\int_{-1}^{3} f(x) \, dx
\]

However, you haven't specified the function \( f(x) \). If the function you're referring to is just \( x \), then the integral would be:

\[
\int_{-1}^{3} x \, dx
\]

Let's solve that integral:

1. **Set up the integral**:
   \[
   \int_{-1}^{3} x \, dx
   \]

2. **Integrate the function**:
   \[
   \frac{x^2}{2} \quad \text{(since the integral of \( x \) is \( \frac{x^2}{2} \))}
   \]

3. **Evaluate the definite integral** from \(-1\) to \(3\):
   \[
   \left[ \frac{x^2

Learn how to evaluate the definite integral of the function x from -1 to 3. This problem covers key calculus concepts, including integration and the application of the Fundamental Theorem of Calculus. Suitable for high school students in Grades 11-12.

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