Create an application to visualize the calculation of standard integrals through other equations in Russian language. The app should allow users to select from a list of standard integrals, such as the integral of x^2 and sin(x), and see a visualization on a Cartesian coordinate system of the component functions and set equations.

User Interface:
- Provide a dropdown menu for selecting different integrals to visualize.
- Each selection should dynamically update the Cartesian graph to show the decomposition of the integral.

Key Features:
- Integral Selection: Allow users to choose from a predefined list of integrals.
- Graphical Representation: Once an integral is selected, display the graph of the integral along with its constituent functions. Use clear and distinguishable colors for each function.

Layout:
- The main view should include a large graph area to clearly show the functions and integrals.
- The dropdown menu should be easily accessible from this view.
- Include legends and labels on the graphs to make them understandable.

Interaction:
- Allow users to hover over elements in the graph for more detailed information about each function or integral.
- Enable zoom in/out functionality on the graph for better visualization.

Best Practices:
- Make sure the UI is intuitive and easy to navigate.
- Maintain high clarity and precision in mathematical visualization to avoid misinterpretation.

This app should be designed with educational purposes in mind, allowing for an interactive and engaging understanding of integrals and their compositions. Ensure each component is intuitive and supportive of the learning experience.

Визуализация  расчета стандартных интегралов через другие уравнения
возьми несколько интегралов, чтобы можно было каждый из них выбрать и увидеть как на декартовой системе координат из каких функций он состоит.

Q: Какие именно интегралы вы хотите визуализировать?
A: Например, интеграл от x^2 и от sin(x)

Q: Какой интерфейс должен быть для выбора интегралов?
A: Например, выпадающий список для выбора интеграла