%% Evaluate Improper Triple Integral of Parameterized Function
% Define the anonymous parameterized function f(x,y,z) = 10/(x^{2} + y^{2} + z^{2} + a).

a = 2;
f = @(x,y,z) 10./(x.^2 + y.^2 + z.^2 + a);

%
% Evaluate the triple integral over the region -\infty \le x \le 0, -100 \le y \le 0, and -100 \le z \le 0.

format long
q1 = integral3(f,-Inf,0,-100,0,-100,0)

%
% Evaluate the integral again and specify accuracy to approximately 9 significant digits.

q2 = integral3(f,-Inf,0,-100,0,-100,0,'AbsTol', 0,'RelTol',1e-9)

% Copyright 2012 The MathWorks, Inc.