If we have a data set consisting of N data pairs: xn,yn there will be N-1 intervals between data pairs.
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Description
Problem 1 of 2 Area under the curve. Area
In many engineering problems, finding the area under a curve is fundamental to the solution. In
calculus, integral preforms the mathematics to allow computation of the results. In some
applications, a numerical approach is the only available option.
If we consider a series of rectangles and sum the area of the rectangles, we can begin estimate
the area.
If we have a data set consisting of N data pairs: xn,yn there will be N-1 intervals between data
pairs.
In the above diagram, the lessor of the two edges has been selected for the y value of the
rectangle, and the width of the rectangle is xn-1 – xn
We can therefore write the estimated area as:
Write a MATLAB user defined function and save a file with name Area which will estimate the
area from a data set:
