Sure, let's solve the integral $\int dx$.

The integral $\int dx$ is a very basic one. Here's the step-by-step solution:

1. Recognize that $dx$ represents the differential of $x$.
2. The integral of $dx$ with respect to $x$ is simply $x$.
3. Since indefinite integrals include a constant of integration $C$, the final answer is:

$\int dx = x + C$

Would you like any more details or have any questions?

Here are some related questions to expand on this topic:

1. What is the integral of $x$ with respect to $x$?
2. How do you compute the integral of a polynomial function?
3. What is the integral of $e^x$ with respect to $x$?
4. How do you find the integral of $\sin(x)$ with respect to $x$?
5. What is the integral of $\cos(x)$ with respect to $x$?
6. How do you integrate a function with a constant coefficient?
7. What is the integral of $\frac{1}{x}$ with respect to $x$?
8. How do you find the integral of a product of two functions?

Tip: When integrating, always remember to include the constant of integration $C$, as it accounts for all possible antiderivatives.