matlab trapz

trapz is a built-in function in MATLAB that performs numerical integration using the trapezoidal method. It takes two arguments - the first is the vector of x-coordinates and the second is the vector of y-coordinates. The function calculates the area under the curve defined by the x and y vectors using the trapezoidal rule.

The syntax for using trapz is as follows:

trapz(y)
trapz(x, y)

where y is a vector of function values and x is a vector of corresponding x-coordinates. If x is not specified, the function assumes unit spacing between the values in y.

For example, if we have the following vectors:

x = [0 1 2 3 4 5];
y = [0 1 4 9 16 25];

We can use trapz to calculate the area under the curve defined by these vectors as follows:

area = trapz(x, y)

This will output the value `28.5`, which is the area under the curve defined by the vectors x and y.