include a for loop instead of x=a:h:b (h=step size)?

 a=1;
b=2;
n=10; 
h=(b-a)/n;
x=a:h:b; 
y=x.^3;
ya=a.^3;
yb=b.^3;
area = h/2*(ya+yb+2*(sum(y)-ya-yb));
disp(area)
end

I wrote this code to solve an integral with the trapezium rule. We are suposed to use the for loop but i came up with the x=a:h:b idea. the answer is correct but i'm interested on how would the for loop be used here. Thanks in advance.

Answer 1

[Walter Roberson]

When you have a vector X and you want to run a for loop over the values, then

xvals = a:h:b;  %create a vector of the values to be processed
for K = 1 : length(xvals)  %loop over indices
  x = xvals(K);   %pick out the one of interest now
  .... do whatever with it
  result(K) = ....  %store the result
end