Trapezoid Rule using For Loop

Write an $m-$file to integrate the following function numerically, using the Trapezoid Rule for the interval of $a=0$ to $b=5.$ Use for loop approach in your program.

$y=x^3+5x^2$

The program should prompt $($ask$)$ the user to input the number of divisions $n$ before each tinge it runs.

Test the program by running it separately for the following four different $n$ values.

$n_1=5,n_2=10,n_3=20,n_4=100$

Include the output for each trial and compare the results for increasing $n$ values to the exact result and comment in terms of what happens when $n$ value is increased and why?

Exact value of integration of the above function for the interval $0x5$ is $364\mathrm{.}6($no units, pure math problem$).$