MATLAB: Error integrating the sine function

integral

Hi friends, could you help me with this qeustion:
Write a code that numerically integrates the function y = sin (x) in the interval of x of [0 2pi] and calculates the error with respect to the exact integral for each delta x of integration [pi / 4 pi / 20 pi / 100].
I tried to began thus:
x=0:0.1:2*pi;
   y1=sin(x);
   dx = x(2)-x(1);
   y2 = cumsum(x1.*dx);
   y2 = y2-1-y2(1);
But I don't know how to do the error
Thanks for your help!

Best Answer

 ERROR = abs(y2(:) - [pi / 4 pi / 20 pi / 100])
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