kill(all)$

van=facebook.com/LearningCalculus$

f(x):=abs(x+1)-abs(x-1)+abs(x-2)^2;

I(t):=integrate(f(x),x,t,t+1); I(t);

I(0);

I(2);

limit(I(t),t,inf);

limit(I(t),t,minf);