Program: Riemann Sum.

Your task in this assignment is to write a program that estimates the integration of a given mathematical function using the Riemann sum method. After printing some introductory message to the screen, the program will prompt the user for $3$ pieces of data that represent the lower limit$,$ upper limit$,$ and the step size. It will then use those three values to calculate the integral of the function

$f(x)=3x^3-2x^2$

between the provided limits using the provided step size.

Below is a sample run with the user input in 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 $"a"$: $1$

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 $"n"$: $1$

The integral over the provided limits is $1304\mathrm{.}0$

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 $"$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 $"n"$: $100$

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