MATLAB Function Reference    
cumtrapz

Cumulative trapezoidal numerical integration

Syntax

Description

Z = cumtrapz(Y) computes an approximation of the cumulative integral of Y via the trapezoidal method with unit spacing. To compute the integral with other than unit spacing, multiply Z by the spacing increment.

For vectors, cumtrapz(Y) is a vector containing the cumulative integral of Y.

For matrices, cumtrapz(Y) is a matrix the same size as Y 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 whose first nonsingleton dimension is length(X). cumtrapz operates across this dimension.

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(X,Y,dim) or cumtrapz(Y,DIM) integrates across the dimension of Y specified by scalar dim. The length of X must be the same as size(Y,dim).

Example

See Also

cumsum, trapz


  cumsum curl