**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.

- cube01_volume.m, returns the volume of the unit cube in 3D.
- cube01_monomial_integral.m, integrates a monomial in the unit cube in 3D.
- cube01_sample.m, samples points from the unit cube in 3D.
- monomial_value.m, evaluates a monomial.