Hi, So I have a question where I have to use Simpsons rule to integrate (1-x^3)*sin(x) + exp(x^2/20) between -1 and 4 with 20 intervals. The function has 4 inputs, f(x), a,b (start and end points) and n intervals
I know that I can make this code simpler with the sum function but unfortunately I have to use loops for this exercise.
My code looks like this:
function integral = simpsonsrule(f,a,b,n)h = (b-a)/n;x = linspace(a,b,n);x4=0;x2=0;for j=2:2:bx4 = x4 + f(x4);endfor k=3:2:bx2= x2 + f(x2);endintegral = (h/3)*(f(a)+ f(b) + 4*(x4)+ 2*(x2));end
And I'm calling it like this:
clear;integral = simpsonsrule((1-x.^3)*sin(x) + exp(x.^2/20),-1,4,20)
But I'm getting the error: Undefined function or variable 'x'. but haven't I defined it with x=linspace(a,b,n)?