Error integrating the sine function

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!

Answer 1

[madhan ravi]

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

[Lewis HC]

Thank you dear friend!