kill(all);

van=facebook.com/LearningCalculus;

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

limit(f(x),x,0, plus);

integrate(f(x),x);

g(x):= 1/((x^2+1)*log(x));

limit(g(x),x,0,plus);

limit(g(x),x,1,minus);

h(x):= log(x^2+1)/4+atan(x)/2-log(x-1)/2;

limit(h(x),x,0,plus);float(%);

limit(h(x),x,1,minus); float(%);