To solve the integral $\int dx$, we need to find the antiderivative of the function 1 with respect to $x$.

The antiderivative of 1 is $x$, so we have:

$\int dx = x + C$

where $C$ is the constant of integration.

Would you like any details or have any questions about this solution?

Here are 8 related questions for further exploration:

1. What is the integral of $x$ with respect to $x$?
2. How do you find the integral of $e^x$ with respect to $x$?
3. What is the integral of $x^2$ with respect to $x$?
4. Can you explain the concept of the constant of integration?
5. How do you solve a definite integral, such as $\int_0^1 dx$?
6. What is the fundamental theorem of calculus?
7. How do you find the integral of $\sin(x)$ with respect to $x$?
8. What is the integral of $\cos(x)$ with respect to $x$?

Tip: When integrating, always remember to add the constant of integration $C$, as indefinite integrals represent a family of functions.