CREATE USER INTERFACE (YOU CAN FREELY DESIGN IT) WITH ANY LANGUAGE

PLEASE GIVE CLEAR EXPLANATION

ALWAYS INCLUDE UNITS IN THE ANSWERS

ALWAYS LABEL PLOTS AND REFER THEM TO THE TEXT

You are required to create a user-friendly interface similar to Matlab (like GUI) that will work based on user input. The code will be able to calculate the line integral and surface integral according to the input from the user. The following actions will be included in your project sequentially. First input: Initially, the code should ask the user whether s/he wants to calculate surface integral or line integral.

Part I: Line Integral

1- The code should ask the equation of the curve that the line integral will be calculated on it.

2- The initial point and endpoint of the curve and the direction of the motion should be as an input for the code.

3- The given curve equation should be parametrized on the background according to the parametrization rules.

4- The code should ask the equation of the function for the line integral.

5- The line integral should be performed by the code and the result should be displayed to the user.

Part II: Surface Integral

1- The code should ask the equation of the curve that the surface integral will be calculated on it.

2- The initial point and endpoint of the curve and the direction of the motion should be as an input for the code.

3- The given curve equation should be parametrized on the background according to the parametrization rules.

4- The code should ask the equation of the function for the surface integral.

5- The surface integral should be performed by the code and the result should be displayed to the user.

Hint: It is recommended to define the line integral according to the properties of the curve and function. You can write if-while close and do close to the program to define different line integral calculation methods and this code can process in the background. For instance, you should check the curve whether it is simple or closed after the user enter curve equation. Also, you should check the function whether it is conservative or not. Accordingly, you can define if-while and/or do close in the code and the code can use the correct formula for calculation.