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cumtrapz
Cumulative trapezoidal numerical integration
Z = cumtrapz(Y) Z = cumtrapz(X,Y) Z = cumtrapz(... dim)
Z = cumtrapz(Y)
computes an approximation of the cumulative integral of Y via the trapezoidal method with unit spacing. (This is similar to cumsum(Y), except that trapezoidal approximation is used.) To compute the integral with other than unit spacing, multiply Z by the spacing increment.
For vectors, cumtrapz(Y) is the cumulative integral of Y.
For matrices, cumtrapz(Y) is a row vector with the cumulative integral over each column.
For multidimensional arrays, cumtrapz(Y) works across the first nonsingleton dimension.
Z = cumtrapz(X,Y)
computes the cumulative integral of Y with respect to X using trapezoidal integration. X and Y must be vectors of the same length, or X must be a column vector and Y an array.
If X is a column vector and Y an array whose first nonsingleton dimension is length(X), cumtrapz(X,Y) operates across this dimension.
Z = cumtrapz(... dim)
integrates across the dimension of Y specified by scalar dim. The length of X must be the same as size(Y,dim).
cumsum Cumulative sum
trapz Trapezoidal numerical integration