strange things about symbolic integral

we i write this program, strange things happens:

% create symbolic function

syms w f g r q s t T v;

zb = (v*exp(-t/v))/((q^2*v^2 + 1)*(v^2*w^2 + 1));

zc = -(q^2*v*(cos(q*t)+q*v*sin(q*t)))/((q+w)*(q^2*v^2+1)*(q-w));

zd = (v*w^2*(cos(t*w)+v*w*sin(t*w)))/((q+w)*(v^2*w^2+1)*(q-w));

% symbolic int

ze = (zb+zc+zd)^2;

zf = zb*zb+zc*zc+zd*zd+2*zb*zc+2*zc*zd+2*zb*zd;

zs1 = int(ze,t,0,T);

zs2 = int(zf,t,0,T);

zs3 = int(expand(ze),t,0,T);

apprently, ze=zf, but zs1 didn't return an expected result, zs2 did

so i use expand() as a try, failed to get the right result again

the version is R2012a

IS MATLAB SO UNINTELLIGENT?

[Roger Stafford]

Lou, be thankful that we humans are still more intelligent than computers. A time in the future may come when that will not be true and that will be hard on our pride.