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!