# cube_integrals

cube_integrals, a MATLAB 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.

### Languages:

cube_integrals is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

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tetrahedron_integrals, a MATLAB code which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3d.

triangle_integrals, a MATLAB code which returns the exact value of the integral of any monomial over the interior of the unit triangle in 2d.

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### Source Code:

Last revised on 15 December 2018.