NUMERICAL INTEGRATION OF A LARGE NON$-$UNIFORM DATA SET $(15$ POINTS$)$

A$.(15$ points$)$

Download the sample data titled "problem$1.$csv$"$ from Blackboard. Write a code to calculate the integral

of the dataset,

$I_{\text{t}\text{o}\text{t}\text{a}\text{l}}={\displaystyle \underset{x_1}{\overset{x_n}{}}}ydx$

Submit your code and place your numerical answer $($with all significant digits produced by Matlab or

other programming language$)$ in a word document. You are not allowed to use any built in Matlab

functions to calculate the integral. All code must be written by the student $($however$,$ code from other

assignments previously written by the student can be used if modified and cited in the comments$).$

Hints:

The code Problem$1$Start.m is provided for you on blackboard. It will read the data and produce

your $x$ and $y$ arrays. This will save you time in writing a function to read the data file.