Math Problem Statement

2

-1

(x )dx

3

Solution

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 xx with respect to xx. Here's how it might be written more formally:

13f(x)dx\int_{-1}^{3} f(x) \, dx

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

13xdx\int_{-1}^{3} x \, dx

Let's solve that integral:

  1. Set up the integral: 13xdx\int_{-1}^{3} x \, dx

  2. Integrate the function: \frac{x^2}{2} \quad \text{(since the integral of xisis\frac{x^2}{2})}

  3. Evaluate the definite integral from 1-1 to 33: [ \left[ \frac{x^2

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Math Problem Analysis

Mathematical Concepts

Calculus
Definite Integral

Formulas

Integral of x is (x^2)/2

Theorems

Fundamental Theorem of Calculus

Suitable Grade Level

Grades 11-12