function fx = p07_fun ( n, x ) %*****************************************************************************80 % %% P07_FUN evaluates the integrand for problem 7. % % Discussion: % % D&R gives "exact" value as 0.16266891... % Mathematica does not return a value. % D&R gives Laguerre(16) as 0.097083064... % % Integral: % % exp ( -2 ) Integral ( 2 <= x < +oo ) sin ( x - 1 ) dx % / sqt ( x * ( x - 2 ) ) % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 28 July 2007 % % Author: % % John Burkardt % % Reference: % % Philip Davis, Philip Rabinowitz, % Methods of Numerical Integration, % Second Edition, % Dover, 2007, % ISBN: 0486453391, % LC: QA299.3.D28. % % Parameters: % % Input, integer N, the number of points. % % Input, real X(N), the evaluation points. % % Output, real FX(N), the function values. % for i = 1 : n if ( x(i) == 2.0 ) fx(i) = 0.0; else fx(i) = exp ( -2.0 ) ... * sin ( x(i) - 1.0 ) / sqrt ( x(i) * ( x(i) - 2.0 ) ); end end return end