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q = triplequad(fun,xmin,xmax,ymin,ymax,zmin,zmax)
q = triplequad(fun,xmin,xmax,ymin,ymax,zmin,zmax,tol)
q = triplequad(fun,xmin,xmax,ymin,ymax,zmin,zmax,tol,method)
q = 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.
Parameterizing Functions, in the MATLAB Mathematics documentation, explains how to provide additional parameters to the function fun, if necessary.
q = triplequad(fun,xmin,xmax,ymin,ymax,zmin,zmax,tol) uses a tolerance tol instead of the default, which is 1.0e-6.
q = 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.
Pass function handle @integrnd to triplequad:P
Q = triplequad(@integrnd,0,pi,0,1,-1,1);
where the 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.
dblquad | function handle | quad | quad2d | quadgk | quadl
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