MATLAB Function Reference    

Numerically evaluate double integral



q = dblquad(fun,xmin,xmax,ymin,ymax) calls the quad function to evaluate the double integral fun(x,y) over the rectangle xmin <= x <= xmax, ymin <= y <= ymax. fun(x,y) must accept a vector x and a scalar y and return a vector of values of the integrand.

q = dblquad(fun,xmin,xmax,ymin,ymax,tol) uses a tolerance tol instead of the default, which is 1.0e-6.

q = dblquad(fun,xmin,xmax,ymin,ymax,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.

dblquad(fun,xmin,xmax,ymin,ymax,tol,method,p1,p2,...) passes the additional parameters p1,p2,... to fun(x,y,p1,p2,...). Use [] as a placeholder if you do not specify tol or method. dblquad(fun,xmin,xmax,ymin,ymax,[],[],p1,p2,...) is the same as dblquad(fun,xmin,xmax,ymin,ymax,1.e-6,@quad,p1,p2,...)


fun can be an inline object

or a function handle

where integrnd.m is an M-file.

The integrnd function integrates y*sin(x)+x*cos(y) over the square pi <= x <= 2*pi, 0 <= y <= pi. Note that the integrand can be evaluated with a vector x and a scalar y .

Nonsquare regions can be handled by setting the integrand to zero outside of the region. For example, the volume of a hemisphere is


See Also

inline, quad, quadl, triplequad, @ (function handle)

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