Integrate Data in MATLAB: Solving with FOR Loops

[TheFerruccio]

I've been reading up in the help files on MATLAB for this one, but it's a bit tricky.

I have been able to solve it on my own by using a FOR loop, but it's not completely accurate as it's just adding up rectangles at the average between two values.

Here's the problem:

Does there exist a MATLAB command that can integrate something based on just coordinates?

 

[rootX]

I've been reading up in the help files on MATLAB for this one, but it's a bit tricky.

I have been able to solve it on my own by using a FOR loop, but it's not completely accurate as it's just adding up rectangles at the average between two values.

Here's the problem:

Does there exist a MATLAB command that can integrate something based on just coordinates?

There are different numerical methods to achieve this.
http://numericalmethods.eng.usf.edu/mtl/gen/07int/index.html

Depends what you want to use. I don't know about the built in functions but it is easier to google for numerical integration MATLAB functions which can be used by your MATLAB file.
e.g.
http://web.cecs.pdx.edu/~gerry/nmm/mfiles/byChapter.html
Scroll down to Contents of integrate directory

 

[oswaler]

Yes, there is a MATLAB command that can integrate based on coordinates. It is called the "trapz" function and it calculates the integral using the trapezoidal rule. It takes in two vectors, one for the x-coordinates and one for the corresponding y-coordinates, and returns the approximate integral value. This function is more accurate than using a FOR loop that adds up rectangles at the average between two values. Additionally, MATLAB also has other integration functions such as "quad" and "quadl" which use more sophisticated methods for calculating integrals. I suggest experimenting with these functions to see which one gives the most accurate result for your specific problem.