hexagon_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of a hexagon.
The computer code and data files described and made available on this web page are distributed under the MIT license
hexagon_integrals is available in a MATLAB version and an Octave version and a Python version.
annulus_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of an annulus centered at the origin.
ball_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit ball in 3D.
circle_integrals, a Python code which returns the exact value of the integral of any monomial over the surface of the unit circle in 2D.
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.
disk_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of a disk of radius R centered at the origin.
disk01_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit disk in 2D.
hyperball_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit hyperball in M dimensions.
hypercube_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit hypercube in M dimensions.
hypersphere_integrals, a Python code which returns the exact value of the integral of any monomial over the surface of the unit hypersphere in M dimensions.
line_integrals, a Python code which returns the exact value of the integral of any monomial over the length of the unit line in 1D.
polygon_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of a polygon in 2D.
pyramid_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit pyramid in 3D.
simplex_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit simplex in M dimensions.
sphere_integrals, a Python code which returns the exact value of the integral of any monomial over the surface of the unit sphere in 3D.
square_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit square in 2D.
tetrahedron_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3D.
triangle_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of an arbitrary triangle in 2d.
triangle01_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit triangle in 2D.
wedge_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit wedge in 3D.