cube_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit cube in 3D.
The interior of the unit cube in 3D is defined by
0 <= X <= 1,
0 <= Y <= 1,
0 <= Z <= 1.
The integrands are all of the form
f(x,y,z) = x^e1 * y^e2 * z^e3.
where the exponents are nonnegative integers.
The computer code and data files described and made available on this web page are distributed under the MIT license
cube_integrals is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.