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Cumulative trapezoidal numerical integration



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. Input Y can be complex.

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. Inputs X and Y can be complex.

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 1

Example 2

This example uses two complex inputs:

See Also

cumsum, trapz

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