Here's output of another sample run $($again$,$ user input is shown in bold red$)$:

This program will calculate the integral of the function $3x^{{?}^{{?}^{?}}}3-2x^{{?}^{{?}^{?}}}2$

between user defined limits: a and $b$

What is the value of $an1$

What is the value of $"$b$"$: $5$

The accuracy of this calculation depends on the value

of $n$ that you use.

What is the value of $n$:$100$

The integral over the provided limits is $378\mathrm{.}8800000000008$

And yet another sample run:

This program will calculate the integral of the function

$3x^{{?}^{{?}^{?}}}3-2x^{{?}^{{?}^{?}}}2$

between user defined limits: a and $b$

What is the value of $"a"$: $1$

What is the value of $"b"$: $5$

The accuracy of this calculation depends on the value

of $n$ that you use.

What is the value of $n$:$1000$

The integral over the provided limits is $385\mathrm{.}98559999999065$

$1$

To help clarify, here are some specifics and$/$or constraints:

$(1)$ Your program will require at least five user$-$defined functions. Feel free to add any extra functions you think are necessary.

A function that is in charge of prompting the user for any information. It takes a single argument representing the value required, prompts the user for that value, and returns the result to the calling statement.

A function that prints the introductory statements of the program. It does not take any arguments and does not return any values.

A function that prints out the statement about the accuracy of the $n$ value. It does not take any arguments and does not return any values.

A function that evaluates the given mathematical function i$.$e$.f(x)=3x^3-2x^2$ It takes a single argument that represents $x$ and returns the result of $f(x)$ to the calling statement.

A function that calculates the riemann sum. It takes three arguments that represent the lower and upper limits of the integral, as well as the value of $n$ i$.$e$.$ the number of steps between the lower and upper limit$.$ It returns the riemann sum to the calling statement.

$(2)$ The main part of your program should make use of the functions $($outlined above$)$ in such a way as to satisfy the problem statement i$.$e$.$ print the appropriate information, prompt for the appropriate information, and print out the appropriate results.

$(3)$ Your output should be exactly like the sample runs shown above $($of course, actual input values and calculations will vary depending on the provided inputs$)$;

$(4)$ You must include a meaningful header, use good coding style, use meaningful variable names, and comment your source code where appropriate;

$(5)$ You must use the provided source code template $($it contains helpful comments that can help you structure your code$)$; and

$(6)$ You must submit your source che as a single py file.