da=0.1 ; I=[] ; % it contains nothing aa=[ 0:da:1 ]; N=length(aa) ; I=zeros(1,N) ; j=0; for a = 0:da:1 j=j+1 ; N=10; L=1; dx=L/N; x=[ dx/2: dx :1-dx/2]; f=a*x.^2; Integral=sum(f)*dx; I(j)=Integral; end figure plot( [ 0:da:1 ],I )