1. **State the problem:** Evaluate the integral $$\int \frac{1}{x} \, dx$$. 2. **Recall the formula:** The integral of $$\frac{1}{x}$$ with respect to $$x$$ is given by $$\int \frac{1}{x} \, dx = \ln|x| + C$$, where $$C$$ is the constant of integration. 3. **Explanation:** This formula holds because the derivative of $$\ln|x|$$ is $$\frac{1}{x}$$ for $$x \neq 0$$. 4. **Final answer:** Therefore, $$ \int \frac{1}{x} \, dx = \ln|x| + C $$