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.

$=3+52$

The program should prompt $($ask$)$ the user to input the number of divisions n before each time 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 $0<=$ x $<=5$ is $364\mathrm{.}6($no units, pure

math problem