https://file.aiquickdraw.com/mathbot/file/1726491318015hy4tktxs.jpg

The equation shown in the image is:

\[
\int 1 \, dx = x + C
\]

This represents the indefinite integral of the constant function \(1\) with respect to \(x\). 

### Explanation:
- The integral of a constant function \(1\) is simply \(x\), because differentiating \(x\) with respect to \(x\) gives \(1\).
- The \(C\) is the constant of integration, which is added to account for any possible constant term that disappears when differentiating.

### Do you want further details or have any questions?

Here are 5 relative questions to expand your understanding:
1. How do you integrate functions other than constants?
2. What is the significance of the constant of integration \(C\)?
3. How would this integral change if the integrand were a different constant?
4. What are definite and indefinite integrals, and how do they differ?
5. How can integrals be used to solve real-world problems?

**Tip:** When solving integrals, always remember to include the constant of integration for indefinite integrals!

What is the solution to the indefinite integral \(\int 1 \, dx\)?

This article explains how to solve the indefinite integral \(\int 1 \, dx = x + C\), covering fundamental concepts of calculus and integration. Suitable for students in Grades 11-12 and college-level calculus courses.

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