function value = monomial_int01 ( dim_num, expon ) %*****************************************************************************80 % %% MONOMIAL_INT01 returns the integral of a monomial over the [0,1] hypercube. % % Discussion: % % This routine evaluates a monomial of the form % % product ( 1 <= dim <= dim_num ) x(dim)^expon(dim) % % where the exponents are nonnegative integers. Note that % if the combination 0^0 is encountered, it should be treated % as 1. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 11 November 2007 % % Author: % % John Burkardt % % Parameters: % % Input, integer DIM_NUM, the spatial dimension. % % Input, integer EXPON(DIM_NUM), the exponents. % % Output, real VALUE, the value of the integral of the % monomial over the [0,1] hypercube. % value = 1.0 / prod ( expon(1:dim_num) + 1 ); return end