--- a/scripts/general/triplequad.m
+++ b/scripts/general/triplequad.m
@@ -17,23 +17,34 @@
 ## <http://www.gnu.org/licenses/>.
 
 ## -*- texinfo -*-
-## @deftypefn {Function File} {} triplequad (@var{f}, @var{xa}, @var{xb}, @var{ya}, @var{yb}, @var{za}, @var{zb}, @var{tol}, @var{quadf}, @dots{})
-## Numerically evaluate a triple integral.  The function over which to
-## integrate is defined by @code{@var{f}}, and the interval for the
-## integration is defined by @code{[@var{xa}, @var{xb}, @var{ya},
-## @var{yb}, @var{za}, @var{zb}]}.  The function @var{f} must accept a
-## vector @var{x} and a scalar @var{y}, and return a vector of the same
-## length as @var{x}.
+## @deftypefn  {Function File} {} triplequad (@var{f}, @var{xa}, @var{xb}, @var{ya}, @var{yb}, @var{za}, @var{zb})
+## @deftypefnx {Function File} {} triplequad (@var{f}, @var{xa}, @var{xb}, @var{ya}, @var{yb}, @var{za}, @var{zb}, @var{tol})
+## @deftypefnx {Function File} {} triplequad (@var{f}, @var{xa}, @var{xb}, @var{ya}, @var{yb}, @var{za}, @var{zb}, @var{tol}, @var{quadf})
+## @deftypefnx {Function File} {} triplequad (@var{f}, @var{xa}, @var{xb}, @var{ya}, @var{yb}, @var{za}, @var{zb}, @var{tol}, @var{quadf}, @dots{})
+## Numerically evaluate the triple integral of @var{f}.
+## @var{f} is a function handle, inline function, or string
+## containing the name of the function to evaluate.  The function @var{f} must
+## have the form @math{w = f(x,y,z)} where either @var{x} or @var{y} is a
+## vector and the remaining inputs are scalars.  It should return a vector of
+## the same length and orientation as @var{x} or @var{y}.
 ##
-## If defined, @var{tol} defines the absolute tolerance to which to
-## which to integrate each sub-integral.
+## @var{xa}, @var{ya}, @var{za} and @var{xb}, @var{yb}, @var{zb} are the lower
+## and upper limits of integration for x, y, and z respectively.  The
+## underlying integrator determines whether infinite bounds are accepted.
+##
+## The optional argument @var{tol} defines the absolute tolerance used to 
+## integrate each sub-integral.  The default value is @math{1e^{-6}}.
+##
+## The optional argument @var{quadf} specifies which underlying integrator
+## function to use.  Any choice but @code{quad} is available and the default
+## is @code{quadgk}.
 ##
 ## Additional arguments, are passed directly to @var{f}.  To use the default
-## value for @var{tol} one may pass an empty matrix.
+## value for @var{tol} or @var{quadf} one may pass an empty matrix ([]).
 ## @seealso{dblquad, quad, quadv, quadl, quadgk, quadcc, trapz}
 ## @end deftypefn
 
-function Q = triplequad(f, xa, xb, ya, yb, za, zb, tol, quadf, varargin)
+function q = triplequad(f, xa, xb, ya, yb, za, zb, tol, quadf, varargin)
   if (nargin < 7)
     print_usage ();
   endif
@@ -50,13 +61,13 @@
     varargin = {};
   endif
 
-  Q = dblquad(@(y, z) inner (y, z, f, xa, xb, tol, quadf, varargin{:}),ya, yb, za, zb, tol);
+  q = dblquad(@(y, z) inner (y, z, f, xa, xb, tol, quadf, varargin{:}),ya, yb, za, zb, tol);
 endfunction
 
-function Q = __triplequad_inner__ (y, z, f, xa, xb, tol, quadf, varargin)
-  Q = zeros (size(y));
+function q = __triplequad_inner__ (y, z, f, xa, xb, tol, quadf, varargin)
+  q = zeros (size(y));
   for i = 1 : length (y)
-    Q(i) = feval (quadf, @(x) f (x, y(i), z, varargin{:}), xa, xb, tol);
+    q(i) = feval (quadf, @(x) f (x, y(i), z, varargin{:}), xa, xb, tol);
   endfor
 endfunction
 
@@ -64,3 +75,4 @@
 % !#assert (triplequad (@(x,y,z) exp(-x.^2 - y.^2 - z.^2) , -1, 1, -1, 1, -1, 1, [],  @quadgk), pi ^ (3/2) * erf(1).^3, 1e-6)
 % !#assert (triplequad (@(x,y,z) exp(-x.^2 - y.^2 - z.^2) , -1, 1, -1, 1, -1, 1, [],  @quadl), pi ^ (3/2) * erf(1).^3, 1e-6)
 % !#assert (triplequad (@(x,y,z) exp(-x.^2 - y.^2 - z.^2) , -1, 1, -1, 1, -1, 1, [],  @quadv), pi ^ (3/2) * erf(1).^3, 1e-6)
+