function simps(a, b, n)

function simps(a, b, n)

%simps(a, b, n) approximates the integral of a function f(x) in the

%interval [a;b] by the composite simpson rule

%n is the number of subintervals

%the user needs to specify the function f(x) at the bottom

%Author: Alain G. Kapitho

%Date : Jan 2006

h = (b-a)/n;

sum_even = 0;

for i = 1:n/2-1

x(i) = a + 2*i*h;

sum_even = sum_even + f(x(i));

end

sum_odd = 0;

for i = 1:n/2

x(i) = a + (2*i-1)*h;

sum_odd = sum_odd + f(x(i));

end

integral = h*(f(a)+ 2*sum_even + 4*sum_odd +f(b))/3

%this needs to be changed accordingly with the specific problem you have at

%hand, before proceeding to the command line

function y = f(x)

y = exp(x);