MATLAB Function Reference

triplequad - Numerically evaluate triple integral

Syntax

triplequad(fun,xmin,xmax,ymin,ymax,zmin,zmax)
triplequad(fun,xmin,xmax,ymin,ymax,zmin,zmax,tol)
triplequad(fun,xmin,xmax,ymin,ymax,zmin,zmax,tol,method)

Description

triplequad(fun,xmin,xmax,ymin,ymax,zmin,zmax) evaluates the triple integral fun(x,y,z) over the three dimensional rectangular region xmin <= x <= xmax, ymin <= y <= ymax, zmin <= z <= zmax. fun is a function handle. See Function Handles in the MATLAB^® Programming documentation for more information.fun(x,y,z) must accept a vector x and scalars y and z, and return a vector of values of the integrand.

, in the MATLAB Mathematics documentation, explains how to provide additional parameters to the function fun, if necessary.

triplequad(fun,xmin,xmax,ymin,ymax,zmin,zmax,tol) uses a tolerance tol instead of the default, which is 1.0e-6.

triplequad(fun,xmin,xmax,ymin,ymax,zmin,zmax,tol,method) uses the quadrature function specified as method, instead of the default quad. Valid values for method are @quadl or the function handle of a user-defined quadrature method that has the same calling sequence as quad and quadl.

Examples

Pass M-file function handle @integrnd to triplequad:P

Q = triplequad(@integrnd,0,pi,0,1,-1,1);

where the M-file integrnd.m is

function f = integrnd(x,y,z)
f = y*sin(x)+z*cos(x);

Pass anonymous function handle F to triplequad:

F = @(x,y,z)y*sin(x)+z*cos(x);
Q = triplequad(F,0,pi,0,1,-1,1);

This example integrates y*sin(x)+z*cos(x) over the region 0 <= x <= pi, 0 <= y <= 1, -1 <= z <= 1. Note that the integrand can be evaluated with a vector x and scalars y and z.

See Also

dblquad, quad, quadgk, quadl, function handle (@), Anonymous Functions

trimesh

triplot