cube_integrals, a Python 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 information on this web page is 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.
python_integrals, a Python code which returns the exact value of the integral of any monomial over the surface or interior of some geometric object, including a line, quadrilateral, box, circle, disk, sphere, ball and others.