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The image you linked contains a mathematical expression. Here is the expression in LaTeX format:

\[ \int \frac{dx}{x \ln(x)} = \ln|\ln(x)| + C \]

This is an integral that involves a logarithmic function in the denominator. The solution to this integral is:

\[ \int \frac{dx}{x \ln(x)} = \ln|\ln(x)| + C \]

where \( C \) is the constant of integration.

Would you like a detailed explanation of how to solve this integral?

Here are 5 questions you might want to ask next:
1. How do you solve integrals involving logarithmic functions?
2. Can you explain the properties of logarithms?
3. What are some common techniques for solving integrals?
4. How do you handle integrals with trigonometric functions?
5. Can you explain the method of integration by parts?

**Tip:** When dealing with integrals, always consider if a substitution or a known integral formula can simplify the problem.

Explore the solution to the integral \( \int \frac{dx}{x \ln(x)} = \ln|\ln(x)| + C \), which involves logarithmic functions and integral calculus. Understand the steps to solve this integral and apply it to similar problems. Suitable for advanced high school students and beyond.

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