The image shows a mathematical equation involving an integral. It appears to be:

$1 - x^3 = t^2 \quad \text{... some text in another language ...} \quad \int \frac{1}{x \sqrt{1 - x^3}} \, dx$

To clarify:

1. The equation on the left-hand side is $1 - x^3 = t^2$, which could suggest a substitution or transformation for solving the integral.

2. The integral on the right is $\int \frac{1}{x \sqrt{1 - x^3}} \, dx$, which involves a square root and a cubic expression in the denominator. This integral may require a substitution method or a special integral form to solve.

Would you like me to guide you through solving this integral or explain the steps involved?

Follow-up Questions:

1. Do you need help solving the integral $\int \frac{1}{x \sqrt{1 - x^3}} \, dx$?
2. Are you familiar with substitutions like $x = \sin(\theta)$ or $x = \tan(\theta)$?
3. Would you like to see how to handle the equation $1 - x^3 = t^2$ before working on the integral?
4. Do you have a particular solution method in mind, such as a series expansion or a trigonometric approach?
5. Would you like more detailed steps on integration techniques like trigonometric substitution?

Tip:

When solving integrals with complicated expressions, substituting a variable to simplify the term inside the square root or denominator is often helpful.